%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA142^1 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:57:59 AM UTC 2026
% Result : Unsatisfiable 33.56s 5.38s
% Output : Refutation 35.06s
% 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] :
( ( X0 = X1 )
| ( b @ X0 @ X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X2: $i,X3: $i,X1: $i,X0: $i] :
( ~ ( r @ X2 @ X3 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X0 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X3: $i,X0: $i,X4: $i,X2: $i,X1: $i] :
( ~ ( b @ X0 @ X3 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f9,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( b @ X1 @ X0 )
| ( r @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f11,plain,
! [X1: $i,X0: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( b @ X1 @ X0 ) ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X2 @ X0 )
| ~ ( r @ X3 @ X2 )
| ~ ( r @ X3 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X3 @ X2 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f15,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X1 @ X0 )
| ~ ( b @ X4 @ X3 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X2 )
| ~ ( b @ X4 @ X0 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X1 @ X2 ) ),
inference(rectify,[],[f7]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X0: $i,X1: $i,X3: $i,X2: $i] :
( ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X3 @ X2 )
!= $true ) ),
inference(flattening,[],[f13]) ).
thf(f20,plain,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f21,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f15]) ).
thf(f22,plain,
! [X0: $i,X2: $i,X1: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X2 @ X4 )
!= $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(rectify,[],[f22]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(rectify,[],[f11]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f20]) ).
thf(f26,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f27,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X4 @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X4 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f28,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f31,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f32,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f33,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X3 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f36,plain,
! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f29,f28]) ).
thf(f37,plain,
! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f29,f28]) ).
thf(f38,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f29,f31]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f36]) ).
thf(f44,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ z @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(constrained_superposition,[],[f44,f36]) ).
thf(f47,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ X1 ) ) ),
inference(duplicate_literal_removal,[],[f45]) ).
thf(f48,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f47]) ).
thf(f53,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true != $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ z @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f37]) ).
thf(f56,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ z @ X3 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f53]) ).
thf(f57,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f56,f36]) ).
thf(f60,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(duplicate_literal_removal,[],[f57]) ).
thf(f61,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(trivial_inequality_removal,[],[f60]) ).
thf(f63,definition,
( spl0_1
<=> ! [X0: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f64,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f63]) ).
thf(f66,definition,
( spl0_2
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f67,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f66]) ).
thf(f68,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f61,f66,f63]) ).
thf(f69,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f67,f37]) ).
thf(f72,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f69]) ).
thf(f78,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f38,f31]) ).
thf(f80,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(extensionality_resolution,[],[f38,f28]) ).
thf(f81,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f38,f28]) ).
thf(f92,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f56,f80]) ).
thf(f96,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f27,f80]) ).
thf(f97,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f92]) ).
thf(f101,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f96]) ).
thf(f103,definition,
( spl0_3
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f104,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f103]) ).
thf(f106,definition,
( spl0_4
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f107,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f106]) ).
thf(f108,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f97,f106,f103]) ).
thf(f110,definition,
( spl0_5
<=> ( ( r @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f111,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f110]) ).
thf(f117,definition,
( spl0_7
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f118,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f117]) ).
thf(f120,definition,
( spl0_8
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f121,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f120]) ).
thf(f123,definition,
( spl0_9
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f124,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_9 ),
inference(avatar_component_clause,[],[f123]) ).
thf(f129,definition,
( spl0_10
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f130,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f129]) ).
thf(f132,definition,
( spl0_11
<=> ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f133,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f132]) ).
thf(f135,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| spl0_9 ),
inference(constrained_superposition,[],[f124,f36]) ).
thf(f137,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_9 ),
inference(trivial_inequality_removal,[],[f135]) ).
thf(f139,plain,
( spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f137,f123,f110]) ).
thf(f144,definition,
( spl0_12
<=> ! [X0: $i] :
( ( r @ ( s @ z ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f145,plain,
( ! [X0: $i] :
( ( r @ ( s @ z ) @ X0 )
!= $true )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f144]) ).
thf(f147,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f121,f36]) ).
thf(f150,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f147]) ).
thf(f161,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f101,f80]) ).
thf(f167,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
inference(duplicate_literal_removal,[],[f161]) ).
thf(f168,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f167]) ).
thf(f172,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f168,f37]) ).
thf(f174,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f172]) ).
thf(f177,definition,
( spl0_13
<=> ( ( b @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f178,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| spl0_13 ),
inference(avatar_component_clause,[],[f177]) ).
thf(f180,definition,
( spl0_14
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f181,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f180]) ).
thf(f182,plain,
( spl0_4
| ~ spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f174,f180,f177,f106]) ).
thf(f183,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_13 ),
inference(constrained_superposition,[],[f178,f37]) ).
thf(f185,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_13 ),
inference(trivial_inequality_removal,[],[f183]) ).
thf(f187,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f185,f177,f117]) ).
thf(f195,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f33,f150]) ).
thf(f196,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f195]) ).
thf(f198,definition,
( spl0_15
<=> ! [X2: $i,X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f199,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f198]) ).
thf(f200,plain,
( spl0_12
| spl0_15
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f196,f120,f198,f144]) ).
thf(f201,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f81,f145]) ).
thf(f205,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_12 ),
inference(constrained_superposition,[],[f72,f201]) ).
thf(f206,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_12 ),
inference(constrained_superposition,[],[f48,f201]) ).
thf(f208,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f205]) ).
thf(f211,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f206]) ).
thf(f216,definition,
( spl0_16
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f217,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f216]) ).
thf(f218,plain,
( spl0_16
| ~ spl0_9
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f208,f144,f66,f123,f216]) ).
thf(f221,definition,
( spl0_17
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f222,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f221]) ).
thf(f223,plain,
( ~ spl0_9
| spl0_17
| spl0_14
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f211,f144,f180,f221,f123]) ).
thf(f226,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f181,f38]) ).
thf(f227,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f181,f29]) ).
thf(f230,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f227]) ).
thf(f231,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ X0 ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f226]) ).
thf(f274,definition,
( spl0_18
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f275,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f274]) ).
thf(f277,definition,
( spl0_19
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f278,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f277]) ).
thf(f292,definition,
( spl0_21
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X2 @ ( s @ X0 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f293,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f292]) ).
thf(f309,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f230,f29]) ).
thf(f310,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f309]) ).
thf(f314,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ X0 ) )
= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f231,f37]) ).
thf(f316,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( z = X0 ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f314]) ).
thf(f323,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f181,f81]) ).
thf(f324,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f56,f81]) ).
thf(f325,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f44,f81]) ).
thf(f328,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f48,f81]) ).
thf(f329,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f27,f81]) ).
thf(f330,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f323]) ).
thf(f333,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f325]) ).
thf(f334,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f328]) ).
thf(f335,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f329]) ).
thf(f336,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(trivial_inequality_removal,[],[f324]) ).
thf(f339,definition,
( spl0_22
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f340,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f339]) ).
thf(f341,plain,
( spl0_22
| spl0_5 ),
inference(avatar_split_clause,[],[f333,f110,f339]) ).
thf(f352,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f330,f37]) ).
thf(f354,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f352]) ).
thf(f357,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f335,f80]) ).
thf(f362,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f357]) ).
thf(f363,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f362]) ).
thf(f367,definition,
( spl0_24
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f368,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f367]) ).
thf(f371,definition,
( spl0_25
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f372,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f371]) ).
thf(f373,plain,
( spl0_19
| spl0_25 ),
inference(avatar_split_clause,[],[f363,f371,f277]) ).
thf(f403,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f33,f354]) ).
thf(f404,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f403]) ).
thf(f425,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,[],[f78,f31]) ).
thf(f427,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f78,f28]) ).
thf(f428,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f78,f28]) ).
thf(f476,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f168,f427]) ).
thf(f480,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f27,f427]) ).
thf(f486,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f476]) ).
thf(f489,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f480]) ).
thf(f493,definition,
( spl0_26
<=> ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f494,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f493]) ).
thf(f500,definition,
( spl0_28
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f501,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f500]) ).
thf(f507,definition,
( spl0_30
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f508,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f507]) ).
thf(f510,definition,
( spl0_31
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f511,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f510]) ).
thf(f512,plain,
( spl0_30
| spl0_31 ),
inference(avatar_split_clause,[],[f486,f510,f507]) ).
thf(f515,definition,
( spl0_32
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f516,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f515]) ).
thf(f525,definition,
( spl0_35
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f526,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_35 ),
inference(avatar_component_clause,[],[f525]) ).
thf(f528,definition,
( spl0_36
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f529,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f528]) ).
thf(f542,definition,
( spl0_38
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f543,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f542]) ).
thf(f546,definition,
( spl0_39
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f547,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f546]) ).
thf(f549,plain,
( ( $true != $true )
| ~ spl0_7
| ~ spl0_11 ),
inference(constrained_superposition,[],[f133,f118]) ).
thf(f550,plain,
( $false
| ~ spl0_7
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f549]) ).
thf(f551,plain,
( ~ spl0_7
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f550]) ).
thf(f552,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| spl0_35 ),
inference(constrained_superposition,[],[f526,f36]) ).
thf(f554,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| spl0_35 ),
inference(trivial_inequality_removal,[],[f552]) ).
thf(f556,plain,
( spl0_26
| spl0_35 ),
inference(avatar_split_clause,[],[f554,f525,f493]) ).
thf(f600,definition,
( spl0_40
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f601,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_40 ),
inference(avatar_component_clause,[],[f600]) ).
thf(f603,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_40 ),
inference(constrained_superposition,[],[f601,f37]) ).
thf(f606,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_40 ),
inference(trivial_inequality_removal,[],[f603]) ).
thf(f614,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(constrained_superposition,[],[f489,f427]) ).
thf(f620,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(duplicate_literal_removal,[],[f614]) ).
thf(f621,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f620]) ).
thf(f630,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f621,f81]) ).
thf(f631,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f621,f37]) ).
thf(f632,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f630]) ).
thf(f633,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f631]) ).
thf(f638,definition,
( spl0_41
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f639,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_41 ),
inference(avatar_component_clause,[],[f638]) ).
thf(f641,definition,
( spl0_42
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f642,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f641]) ).
thf(f643,plain,
( spl0_32
| ~ spl0_41
| spl0_42 ),
inference(avatar_split_clause,[],[f632,f641,f638,f515]) ).
thf(f664,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f33,f516]) ).
thf(f665,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f664]) ).
thf(f672,definition,
( spl0_43
<=> ! [X2: $i,X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f673,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f672]) ).
thf(f675,definition,
( spl0_44
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f676,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f675]) ).
thf(f677,plain,
( spl0_43
| spl0_44
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f665,f515,f675,f672]) ).
thf(f681,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_41 ),
inference(constrained_superposition,[],[f639,f29]) ).
thf(f682,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_41 ),
inference(trivial_inequality_removal,[],[f681]) ).
thf(f686,definition,
( spl0_45
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f687,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f686]) ).
thf(f689,definition,
( spl0_46
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f690,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f689]) ).
thf(f691,plain,
( spl0_45
| spl0_46
| spl0_41 ),
inference(avatar_split_clause,[],[f682,f638,f689,f686]) ).
thf(f697,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f642,f38]) ).
thf(f698,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f642,f29]) ).
thf(f699,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f698]) ).
thf(f703,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ X0 ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f697]) ).
thf(f726,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f699,f38]) ).
thf(f727,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f699,f29]) ).
thf(f730,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f726]) ).
thf(f731,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f727]) ).
thf(f732,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f703,f81]) ).
thf(f737,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f732]) ).
thf(f752,definition,
( spl0_47
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
thf(f753,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f752]) ).
thf(f762,definition,
( spl0_49
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f763,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f762]) ).
thf(f764,plain,
( spl0_7
| spl0_49 ),
inference(avatar_split_clause,[],[f336,f762,f117]) ).
thf(f768,plain,
( spl0_36
| spl0_40 ),
inference(avatar_split_clause,[],[f606,f600,f528]) ).
thf(f782,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_38 ),
inference(constrained_superposition,[],[f543,f316]) ).
thf(f784,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_38 ),
inference(constrained_superposition,[],[f543,f310]) ).
thf(f787,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_14
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f782]) ).
thf(f789,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_14
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f784]) ).
thf(f830,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f33,f501]) ).
thf(f831,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f830]) ).
thf(f836,definition,
( spl0_50
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
thf(f837,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f836]) ).
thf(f838,plain,
( spl0_44
| spl0_50
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f831,f500,f836,f675]) ).
thf(f908,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_14
| ~ spl0_42 ),
inference(constrained_superposition,[],[f404,f737]) ).
thf(f911,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f908]) ).
thf(f913,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f335,f428]) ).
thf(f914,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f101,f428]) ).
thf(f916,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f56,f428]) ).
thf(f921,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f48,f428]) ).
thf(f923,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X3 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f27,f428]) ).
thf(f927,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f913]) ).
thf(f928,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f916]) ).
thf(f929,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f923]) ).
thf(f931,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f914]) ).
thf(f933,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f921]) ).
thf(f939,definition,
( spl0_51
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f940,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f939]) ).
thf(f941,plain,
( spl0_51
| spl0_45 ),
inference(avatar_split_clause,[],[f927,f686,f939]) ).
thf(f947,definition,
( spl0_53
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f948,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f947]) ).
thf(f949,plain,
( spl0_30
| spl0_53 ),
inference(avatar_split_clause,[],[f931,f947,f507]) ).
thf(f951,definition,
( spl0_54
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f952,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f951]) ).
thf(f954,definition,
( spl0_55
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f955,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f954]) ).
thf(f956,plain,
( ~ spl0_35
| spl0_54
| spl0_55 ),
inference(avatar_split_clause,[],[f933,f954,f951,f525]) ).
thf(f968,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_26 ),
inference(constrained_superposition,[],[f404,f494]) ).
thf(f971,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f968]) ).
thf(f976,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_14
| ~ spl0_30 ),
inference(constrained_superposition,[],[f404,f508]) ).
thf(f977,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_10
| ~ spl0_30 ),
inference(constrained_superposition,[],[f130,f508]) ).
thf(f979,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_10
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f977]) ).
thf(f981,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_14
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f976]) ).
thf(f982,plain,
( $false
| ~ spl0_10
| ~ spl0_26
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f979,f494]) ).
thf(f983,plain,
( ~ spl0_10
| ~ spl0_26
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f982]) ).
thf(f998,plain,
( $false
| ~ spl0_12
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f687,f145]) ).
thf(f999,plain,
( ~ spl0_12
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f998]) ).
thf(f1001,definition,
( spl0_58
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f1002,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f1001]) ).
thf(f1004,plain,
( ( $true != $true )
| ~ spl0_11
| ~ spl0_36 ),
inference(constrained_superposition,[],[f133,f529]) ).
thf(f1005,plain,
( $false
| ~ spl0_11
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f1004]) ).
thf(f1006,plain,
( ~ spl0_11
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1005]) ).
thf(f1007,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_11
| ~ spl0_14
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f971,f133]) ).
thf(f1019,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f633,f133]) ).
thf(f1021,plain,
( spl0_39
| ~ spl0_11
| ~ spl0_14
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1007,f493,f180,f132,f546]) ).
thf(f1036,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| spl0_5 ),
inference(avatar_component_clause,[],[f110]) ).
thf(f1047,definition,
( spl0_64
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
thf(f1048,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f1047]) ).
thf(f1051,definition,
( spl0_65
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
thf(f1052,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1051]) ).
thf(f1053,plain,
( ~ spl0_40
| spl0_65
| spl0_54
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1019,f132,f951,f1051,f600]) ).
thf(f1058,definition,
( spl0_66
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f1059,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1058]) ).
thf(f1060,plain,
( spl0_66
| spl0_36 ),
inference(avatar_split_clause,[],[f928,f528,f1058]) ).
thf(f1062,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_14
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f787,f28]) ).
thf(f1065,plain,
( spl0_28
| spl0_54
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f633,f600,f951,f500]) ).
thf(f1068,plain,
( spl0_64
| spl0_39
| spl0_36
| ~ spl0_14
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f911,f641,f180,f528,f546,f1047]) ).
thf(f1070,plain,
( spl0_39
| spl0_36
| ~ spl0_14
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f981,f507,f180,f528,f546]) ).
thf(f1071,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_14
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f789,f28]) ).
thf(f1073,plain,
( spl0_39
| spl0_36
| ~ spl0_14
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f971,f493,f180,f528,f546]) ).
thf(f1074,plain,
( ~ spl0_5
| spl0_36
| ~ spl0_14
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1062,f542,f180,f528,f110]) ).
thf(f1075,plain,
( spl0_36
| spl0_46
| ~ spl0_5
| ~ spl0_14
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1071,f542,f180,f110,f689,f528]) ).
thf(f1080,plain,
( ~ spl0_9
| spl0_24
| spl0_14 ),
inference(avatar_split_clause,[],[f334,f180,f367,f123]) ).
thf(f1098,plain,
( ( $true != $true )
| ~ spl0_5
| ~ spl0_12 ),
inference(constrained_superposition,[],[f145,f111]) ).
thf(f1101,plain,
( $false
| ~ spl0_5
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1098]) ).
thf(f1102,plain,
( ~ spl0_5
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
thf(f1106,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_42
| ~ spl0_44 ),
inference(constrained_superposition,[],[f676,f737]) ).
thf(f1108,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_42
| ~ spl0_44 ),
inference(constrained_superposition,[],[f676,f731]) ).
thf(f1109,plain,
( ( $true != $true )
| ~ spl0_26
| ~ spl0_44 ),
inference(constrained_superposition,[],[f676,f494]) ).
thf(f1110,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_1
| ~ spl0_44 ),
inference(constrained_superposition,[],[f676,f64]) ).
thf(f1113,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_42
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f1106]) ).
thf(f1114,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_42
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f1108]) ).
thf(f1115,plain,
( $false
| ~ spl0_26
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f1109]) ).
thf(f1116,plain,
( ~ spl0_26
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1115]) ).
thf(f1119,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_1
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f1110]) ).
thf(f1122,plain,
( spl0_64
| ~ spl0_42
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1113,f675,f641,f1047]) ).
thf(f1123,plain,
( spl0_47
| ~ spl0_42
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1114,f675,f641,f752]) ).
thf(f1126,plain,
( spl0_36
| ~ spl0_1
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1119,f675,f63,f528]) ).
thf(f1231,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f1059,f428]) ).
thf(f1237,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_66 ),
inference(duplicate_literal_removal,[],[f1231]) ).
thf(f1238,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f1237]) ).
thf(f1243,definition,
( spl0_71
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f1244,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f1243]) ).
thf(f1245,plain,
( ~ spl0_40
| spl0_71
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f1238,f1058,f1243,f600]) ).
thf(f1262,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f940,f428]) ).
thf(f1271,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_51 ),
inference(duplicate_literal_removal,[],[f1262]) ).
thf(f1272,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f1271]) ).
thf(f1295,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f929,f427]) ).
thf(f1305,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ),
inference(duplicate_literal_removal,[],[f1295]) ).
thf(f1306,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1305]) ).
thf(f1313,definition,
( spl0_75
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f1314,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f1313]) ).
thf(f1316,definition,
( spl0_76
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
thf(f1317,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f1316]) ).
thf(f1318,plain,
( spl0_75
| spl0_76 ),
inference(avatar_split_clause,[],[f1306,f1316,f1313]) ).
thf(f1320,definition,
( spl0_77
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f1321,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f1320]) ).
thf(f1327,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f1314,f80]) ).
thf(f1336,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f1327]) ).
thf(f1339,definition,
( spl0_79
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f1340,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f1339]) ).
thf(f1341,plain,
( spl0_79
| ~ spl0_41
| spl0_30
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1336,f1313,f507,f638,f1339]) ).
thf(f1342,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true ) )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f1340,f29]) ).
thf(f1348,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f1342]) ).
thf(f1380,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_45 ),
inference(avatar_component_clause,[],[f686]) ).
thf(f1390,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_79 ),
inference(constrained_superposition,[],[f1348,f37]) ).
thf(f1391,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_79 ),
inference(trivial_inequality_removal,[],[f1390]) ).
thf(f1431,definition,
( spl0_82
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
thf(f1432,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f1431]) ).
thf(f1512,definition,
( spl0_88
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
thf(f1513,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f1512]) ).
thf(f1515,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_1
| spl0_5 ),
inference(constrained_superposition,[],[f1036,f64]) ).
thf(f1516,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_1
| spl0_5 ),
inference(trivial_inequality_removal,[],[f1515]) ).
thf(f2142,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_7 ),
inference(avatar_component_clause,[],[f117]) ).
thf(f2153,plain,
( spl0_7
| ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f1516,f110,f63,f117]) ).
thf(f2154,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f1391,f28]) ).
thf(f2161,plain,
( spl0_7
| spl0_36
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f2154,f1339,f528,f117]) ).
thf(f2308,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f33,f1317]) ).
thf(f2311,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f2308]) ).
thf(f2319,definition,
( spl0_100
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
thf(f2320,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f2319]) ).
thf(f2321,plain,
( spl0_44
| spl0_100
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f2311,f1316,f2319,f675]) ).
thf(f2548,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_30 ),
inference(avatar_component_clause,[],[f507]) ).
thf(f3024,definition,
( spl0_104
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
thf(f3025,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_104 ),
inference(avatar_component_clause,[],[f3024]) ).
thf(f3254,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f425,f28]) ).
thf(f3326,definition,
( spl0_110
<=> ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
thf(f3327,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f3326]) ).
thf(f3333,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_38
| ~ spl0_45 ),
inference(constrained_superposition,[],[f543,f687]) ).
thf(f3335,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_45 ),
inference(constrained_superposition,[],[f293,f687]) ).
thf(f3339,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_21
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f3335]) ).
thf(f3342,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_38
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f3333]) ).
thf(f3345,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_5
| ~ spl0_21
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f3339,f111]) ).
thf(f3346,plain,
( $false
| ~ spl0_5
| ~ spl0_38
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f3342,f111]) ).
thf(f3347,plain,
( ~ spl0_5
| ~ spl0_38
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f3346]) ).
thf(f3348,plain,
( spl0_36
| ~ spl0_5
| ~ spl0_21
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f3345,f686,f292,f110,f528]) ).
thf(f3351,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_25
| spl0_45 ),
inference(constrained_superposition,[],[f1380,f372]) ).
thf(f3355,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_25
| ~ spl0_38 ),
inference(constrained_superposition,[],[f543,f372]) ).
thf(f3363,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_25
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f3355]) ).
thf(f3365,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_25
| spl0_45 ),
inference(trivial_inequality_removal,[],[f3351]) ).
thf(f3371,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_25
| spl0_30
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f3363,f2548]) ).
thf(f3372,plain,
( $false
| ~ spl0_25
| spl0_30
| spl0_45 ),
inference(forward_subsumption_resolution,[],[f3365,f2548]) ).
thf(f3373,plain,
( ~ spl0_25
| spl0_30
| spl0_45 ),
inference(avatar_contradiction_clause,[],[f3372]) ).
thf(f3377,plain,
( $false
| ~ spl0_5
| ~ spl0_25
| spl0_30
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f3371,f111]) ).
thf(f3378,plain,
( ~ spl0_5
| ~ spl0_25
| spl0_30
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f3377]) ).
thf(f3438,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_88 ),
inference(constrained_superposition,[],[f1513,f427]) ).
thf(f3442,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_88 ),
inference(trivial_inequality_removal,[],[f3438]) ).
thf(f4139,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f278,f36]) ).
thf(f4140,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f278,f38]) ).
thf(f4141,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f278,f29]) ).
thf(f4142,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f4141]) ).
thf(f4143,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f4139]) ).
thf(f4145,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f4140]) ).
thf(f4184,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_36 ),
inference(avatar_component_clause,[],[f528]) ).
thf(f4198,definition,
( spl0_118
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
thf(f4199,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f4198]) ).
thf(f4476,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f4142,f29]) ).
thf(f4479,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f4142,f37]) ).
thf(f4482,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f4479]) ).
thf(f4483,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f4476]) ).
thf(f4634,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_32
| ~ spl0_39 ),
inference(constrained_superposition,[],[f547,f516]) ).
thf(f4636,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) )
| ~ spl0_32
| ~ spl0_38 ),
inference(constrained_superposition,[],[f543,f516]) ).
thf(f4640,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_32
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f4636]) ).
thf(f4651,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_32
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f4634]) ).
thf(f4656,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_24
| ~ spl0_32
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f4640,f368]) ).
thf(f4661,plain,
( spl0_118
| ~ spl0_24
| ~ spl0_32
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f4656,f542,f515,f367,f4198]) ).
thf(f5729,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X1 ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f4483,f29]) ).
thf(f5734,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f5729]) ).
thf(f5735,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( s @ z )
= X1 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f5734]) ).
thf(f5739,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f5735,f29]) ).
thf(f5752,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( s @ z )
= X1 )
| ( X0 = X1 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f5739]) ).
thf(f5823,definition,
( spl0_131
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
thf(f5824,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f5823]) ).
thf(f5968,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f4145,f38]) ).
thf(f5973,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f5968]) ).
thf(f5974,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ X0 ) )
= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f5973]) ).
thf(f5980,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f5974,f427]) ).
thf(f5991,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f5980]) ).
thf(f6544,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f27,f3254]) ).
thf(f6554,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X3 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f6544]) ).
thf(f6567,definition,
( spl0_134
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
thf(f6568,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f6567]) ).
thf(f6578,definition,
( spl0_137
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f6579,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f6578]) ).
thf(f6592,definition,
( spl0_141
<=> ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
thf(f6593,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_141 ),
inference(avatar_component_clause,[],[f6592]) ).
thf(f6600,definition,
( spl0_143
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f6601,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f6600]) ).
thf(f6603,definition,
( spl0_144
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
thf(f6604,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f6603]) ).
thf(f6610,definition,
( spl0_146
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f6611,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f6610]) ).
thf(f6614,definition,
( spl0_147
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
thf(f6615,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f6614]) ).
thf(f6621,definition,
( spl0_149
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
thf(f6622,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_149 ),
inference(avatar_component_clause,[],[f6621]) ).
thf(f6627,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_141 ),
inference(constrained_superposition,[],[f6593,f37]) ).
thf(f6630,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_141 ),
inference(trivial_inequality_removal,[],[f6627]) ).
thf(f6632,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_131
| ~ spl0_134 ),
inference(constrained_superposition,[],[f5824,f6568]) ).
thf(f6640,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_131
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f6632]) ).
thf(f6647,plain,
( $false
| ~ spl0_26
| ~ spl0_131
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f6640,f494]) ).
thf(f6648,plain,
( ~ spl0_26
| ~ spl0_131
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f6647]) ).
thf(f6650,definition,
( spl0_151
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f6651,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f6650]) ).
thf(f6653,definition,
( spl0_152
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f6654,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f6653]) ).
thf(f6690,definition,
( spl0_153
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f6691,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f6690]) ).
thf(f6693,definition,
( spl0_154
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
thf(f6694,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f6693]) ).
thf(f6751,definition,
( spl0_156
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f6752,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f6751]) ).
thf(f6762,definition,
( spl0_159
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f6763,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f6762]) ).
thf(f6765,definition,
( spl0_160
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f6766,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_160 ),
inference(avatar_component_clause,[],[f6765]) ).
thf(f6787,definition,
( spl0_166
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
thf(f6788,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_166 ),
inference(avatar_component_clause,[],[f6787]) ).
thf(f6799,definition,
( spl0_169
<=> ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
thf(f6800,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f6799]) ).
thf(f6809,definition,
( spl0_171
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
thf(f6810,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f6809]) ).
thf(f6822,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_141 ),
inference(constrained_superposition,[],[f33,f6630]) ).
thf(f6824,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| spl0_141 ),
inference(trivial_inequality_removal,[],[f6822]) ).
thf(f6825,plain,
( spl0_151
| spl0_131
| spl0_141 ),
inference(avatar_split_clause,[],[f6824,f6592,f5823,f6650]) ).
thf(f6834,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_42
| ~ spl0_131 ),
inference(constrained_superposition,[],[f5824,f730]) ).
thf(f6858,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_42
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f6834]) ).
thf(f6890,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_24
| ~ spl0_152 ),
inference(constrained_superposition,[],[f6654,f368]) ).
thf(f6920,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_24
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f6890]) ).
thf(f6933,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_24
| ~ spl0_45
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f6920,f687]) ).
thf(f6938,plain,
( spl0_147
| ~ spl0_24
| ~ spl0_45
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f6933,f6653,f686,f367,f6614]) ).
thf(f6949,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f6810,f428]) ).
thf(f6950,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f6810,f81]) ).
thf(f6953,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f6949]) ).
thf(f6956,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f6950]) ).
thf(f7013,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) ),
inference(constrained_superposition,[],[f6554,f3254]) ).
thf(f7023,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) ),
inference(duplicate_literal_removal,[],[f7013]) ).
thf(f7024,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f7023]) ).
thf(f7031,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f7024,f428]) ).
thf(f7035,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f7031]) ).
thf(f7041,definition,
( spl0_174
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
thf(f7042,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_174 ),
inference(avatar_component_clause,[],[f7041]) ).
thf(f7043,plain,
( ~ spl0_174
| spl0_156
| spl0_143 ),
inference(avatar_split_clause,[],[f7035,f6600,f6751,f7041]) ).
thf(f7060,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f33,f6601]) ).
thf(f7062,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) )
| ~ spl0_143 ),
inference(trivial_inequality_removal,[],[f7060]) ).
thf(f7077,definition,
( spl0_175
<=> ! [X2: $i,X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f7078,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f7077]) ).
thf(f7079,plain,
( spl0_175
| spl0_151
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f7062,f6600,f6650,f7077]) ).
thf(f7082,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_174 ),
inference(constrained_superposition,[],[f7042,f428]) ).
thf(f7085,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_174 ),
inference(constrained_superposition,[],[f7042,f29]) ).
thf(f7086,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_174 ),
inference(trivial_inequality_removal,[],[f7082]) ).
thf(f7089,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_174 ),
inference(trivial_inequality_removal,[],[f7085]) ).
thf(f7090,plain,
( spl0_134
| spl0_174 ),
inference(avatar_split_clause,[],[f7086,f7041,f6567]) ).
thf(f7093,plain,
( spl0_134
| spl0_153
| spl0_174 ),
inference(avatar_split_clause,[],[f7089,f7041,f6690,f6567]) ).
thf(f7145,definition,
( spl0_177
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f7146,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_177 ),
inference(avatar_component_clause,[],[f7145]) ).
thf(f7159,definition,
( spl0_179
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
thf(f7160,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_179 ),
inference(avatar_component_clause,[],[f7159]) ).
thf(f7167,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f7159]) ).
thf(f7172,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_42
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f6858,f28]) ).
thf(f7181,definition,
( spl0_183
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f7182,plain,
( ! [X2: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f7181]) ).
thf(f7197,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_26
| ~ spl0_42
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f7172,f494]) ).
thf(f7212,plain,
( spl0_153
| spl0_179
| ~ spl0_26
| ~ spl0_42
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f7197,f5823,f641,f493,f7159,f6690]) ).
thf(f7247,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f81,f690]) ).
thf(f7394,definition,
( spl0_188
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f7395,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f7394]) ).
thf(f7397,definition,
( spl0_189
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f7398,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_189 ),
inference(avatar_component_clause,[],[f7397]) ).
thf(f7400,definition,
( spl0_190
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f7401,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_190 ),
inference(avatar_component_clause,[],[f7400]) ).
thf(f7405,definition,
( spl0_191
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f7406,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_191 ),
inference(avatar_component_clause,[],[f7405]) ).
thf(f7425,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f7247,f30]) ).
thf(f7439,definition,
( spl0_193
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f7440,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f7439]) ).
thf(f7446,definition,
( spl0_194
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f7447,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f7446]) ).
thf(f7450,definition,
( spl0_195
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
thf(f7451,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f7450]) ).
thf(f7464,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f7425,f32]) ).
thf(f7465,plain,
~ spl0_46,
inference(avatar_contradiction_clause,[],[f7464]) ).
thf(f7476,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_104 ),
inference(constrained_superposition,[],[f3025,f29]) ).
thf(f7479,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_104 ),
inference(trivial_inequality_removal,[],[f7476]) ).
thf(f7483,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_30
| spl0_104 ),
inference(forward_subsumption_resolution,[],[f7479,f2548]) ).
thf(f7486,plain,
( spl0_46
| spl0_30
| spl0_104 ),
inference(avatar_split_clause,[],[f7483,f3024,f507,f689]) ).
thf(f7496,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_131
| ~ spl0_179 ),
inference(constrained_superposition,[],[f5824,f7167]) ).
thf(f7505,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_131
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f7496]) ).
thf(f7547,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_141
| ~ spl0_195 ),
inference(constrained_superposition,[],[f7451,f6630]) ).
thf(f7567,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_141
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f7547]) ).
thf(f7594,plain,
( spl0_45
| spl0_110
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f3442,f1512,f3326,f686]) ).
thf(f7600,definition,
( spl0_197
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f7601,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f7600]) ).
thf(f7604,definition,
( spl0_198
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f7605,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f7604]) ).
thf(f7606,plain,
( spl0_7
| spl0_198
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f4482,f277,f7604,f117]) ).
thf(f7607,plain,
( ~ spl0_5
| ~ spl0_131
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f7505,f7159,f5823,f110]) ).
thf(f7618,plain,
( spl0_5
| ~ spl0_13
| spl0_58
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f4143,f277,f1001,f177,f110]) ).
thf(f7619,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f5991,f28]) ).
thf(f7623,plain,
( ~ spl0_7
| spl0_141
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f7567,f7450,f6592,f117]) ).
thf(f7631,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_19
| spl0_30 ),
inference(forward_subsumption_resolution,[],[f7619,f2548]) ).
thf(f7638,definition,
( spl0_203
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f7639,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f7638]) ).
thf(f7642,definition,
( spl0_204
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
thf(f7643,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f7642]) ).
thf(f7644,plain,
( spl0_45
| spl0_204
| ~ spl0_19
| spl0_30 ),
inference(avatar_split_clause,[],[f7631,f507,f277,f7642,f686]) ).
thf(f7646,definition,
( spl0_205
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
thf(f7647,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f7646]) ).
thf(f7648,plain,
( spl0_205
| ~ spl0_104
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1272,f939,f3024,f7646]) ).
thf(f7715,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_154 ),
inference(constrained_superposition,[],[f427,f6694]) ).
thf(f7846,definition,
( spl0_207
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f7847,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f7846]) ).
thf(f7867,definition,
( spl0_208
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
thf(f7868,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_208 ),
inference(avatar_component_clause,[],[f7867]) ).
thf(f7870,definition,
( spl0_209
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f7871,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f7870]) ).
thf(f7901,definition,
( spl0_210
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
thf(f7902,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f7901]) ).
thf(f7904,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f7715,f32]) ).
thf(f7957,plain,
( $false
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f7904,f30]) ).
thf(f7958,plain,
~ spl0_154,
inference(avatar_contradiction_clause,[],[f7957]) ).
thf(f7959,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_147 ),
inference(avatar_component_clause,[],[f6614]) ).
thf(f7960,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f6787]) ).
thf(f7965,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| spl0_45 ),
inference(constrained_superposition,[],[f1380,f5752]) ).
thf(f7966,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_19
| spl0_45 ),
inference(trivial_inequality_removal,[],[f7965]) ).
thf(f7974,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_10
| ~ spl0_146 ),
inference(constrained_superposition,[],[f130,f6611]) ).
thf(f7983,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_10
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f7974]) ).
thf(f7986,plain,
( ~ spl0_147
| ~ spl0_10
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f7983,f6610,f129,f6614]) ).
thf(f7988,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_1
| spl0_147 ),
inference(constrained_superposition,[],[f7959,f64]) ).
thf(f7989,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_1
| spl0_147 ),
inference(trivial_inequality_removal,[],[f7988]) ).
thf(f8115,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f7182,f428]) ).
thf(f8121,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f8115]) ).
thf(f8127,definition,
( spl0_213
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
thf(f8128,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f8127]) ).
thf(f8129,plain,
( spl0_213
| ~ spl0_41
| spl0_134
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f8121,f7181,f6567,f638,f8127]) ).
thf(f8136,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f8128,f37]) ).
thf(f8142,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f8136]) ).
thf(f8155,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f6604,f81]) ).
thf(f8156,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f6604,f37]) ).
thf(f8160,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f8155]) ).
thf(f8161,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f8156]) ).
thf(f8165,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_144
| spl0_179 ),
inference(forward_subsumption_resolution,[],[f8160,f7160]) ).
thf(f8167,definition,
( spl0_214
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
thf(f8168,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f8167]) ).
thf(f8169,plain,
( spl0_214
| ~ spl0_41
| ~ spl0_144
| spl0_179 ),
inference(avatar_split_clause,[],[f8165,f7159,f6603,f638,f8167]) ).
thf(f8233,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_4
| spl0_30 ),
inference(constrained_superposition,[],[f2548,f107]) ).
thf(f8244,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_4
| ~ spl0_10 ),
inference(constrained_superposition,[],[f130,f107]) ).
thf(f8253,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_4
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f8244]) ).
thf(f8259,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_4
| spl0_30 ),
inference(trivial_inequality_removal,[],[f8233]) ).
thf(f8267,definition,
( spl0_215
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).
thf(f8268,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f8267]) ).
thf(f8272,definition,
( spl0_216
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_216])],[avatar_definition]) ).
thf(f8273,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f8272]) ).
thf(f8281,plain,
( spl0_215
| ~ spl0_32
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f4651,f546,f515,f8267]) ).
thf(f8284,plain,
( spl0_36
| ~ spl0_4
| spl0_30 ),
inference(avatar_split_clause,[],[f8259,f507,f106,f528]) ).
thf(f8294,plain,
( spl0_216
| ~ spl0_32
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f4640,f542,f515,f8272]) ).
thf(f8311,definition,
( spl0_222
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f8312,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f8311]) ).
thf(f8314,definition,
( spl0_223
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f8315,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f8314]) ).
thf(f8316,plain,
( ~ spl0_40
| spl0_222
| spl0_223
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f8161,f6603,f8314,f8311,f600]) ).
thf(f8317,plain,
( spl0_222
| ~ spl0_1
| spl0_147 ),
inference(avatar_split_clause,[],[f7989,f6614,f63,f8311]) ).
thf(f8318,plain,
( spl0_222
| ~ spl0_13
| ~ spl0_40
| ~ spl0_213 ),
inference(avatar_split_clause,[],[f8142,f8127,f600,f177,f8311]) ).
thf(f8419,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ X0 ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f67,f37]) ).
thf(f8420,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f67,f29]) ).
thf(f8421,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f8420]) ).
thf(f8422,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( b @ ( s @ X0 ) @ z )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f8419]) ).
thf(f8441,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f8422,f80]) ).
thf(f8444,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f8422,f3254]) ).
thf(f8453,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f8444]) ).
thf(f8456,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f8441]) ).
thf(f8459,definition,
( spl0_225
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).
thf(f8460,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f8459]) ).
thf(f8461,plain,
( spl0_225
| spl0_222
| ~ spl0_160
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f8453,f66,f6765,f8311,f8459]) ).
thf(f8462,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_160 ),
inference(constrained_superposition,[],[f6766,f36]) ).
thf(f8465,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_160 ),
inference(trivial_inequality_removal,[],[f8462]) ).
thf(f8471,plain,
( spl0_147
| spl0_160 ),
inference(avatar_split_clause,[],[f8465,f6765,f6614]) ).
thf(f8545,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f33,f7601]) ).
thf(f8548,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f8545]) ).
thf(f8554,plain,
( spl0_15
| spl0_12
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f8548,f7600,f144,f198]) ).
thf(f8583,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_222 ),
inference(avatar_component_clause,[],[f8311]) ).
thf(f8710,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ X1 ) )
| ( z = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( z = X1 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f8421,f29]) ).
thf(f8713,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X1 )
| ( $true
= ( r @ z @ X1 ) )
| ( z = X0 )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f8710]) ).
thf(f8714,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_38
| ~ spl0_203 ),
inference(constrained_superposition,[],[f543,f7639]) ).
thf(f8719,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_38
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f8714]) ).
thf(f8722,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_10
| ~ spl0_38
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f8719,f130]) ).
thf(f8724,plain,
( spl0_82
| ~ spl0_10
| ~ spl0_38
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f8722,f7638,f542,f129,f1431]) ).
thf(f9187,definition,
( spl0_229
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
thf(f9188,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f9187]) ).
thf(f9190,definition,
( spl0_230
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
thf(f9191,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_230 ),
inference(avatar_component_clause,[],[f9190]) ).
thf(f9213,definition,
( spl0_233
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).
thf(f9214,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f9213]) ).
thf(f9219,definition,
( spl0_235
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f9220,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_235 ),
inference(avatar_component_clause,[],[f9219]) ).
thf(f9636,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_166 ),
inference(constrained_superposition,[],[f6788,f80]) ).
thf(f9638,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_166 ),
inference(constrained_superposition,[],[f6788,f29]) ).
thf(f9639,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_166 ),
inference(trivial_inequality_removal,[],[f9636]) ).
thf(f9640,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| spl0_166 ),
inference(trivial_inequality_removal,[],[f9638]) ).
thf(f9718,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_191 ),
inference(constrained_superposition,[],[f7406,f37]) ).
thf(f9720,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_191 ),
inference(trivial_inequality_removal,[],[f9718]) ).
thf(f9751,definition,
( spl0_244
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
thf(f9752,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_244 ),
inference(avatar_component_clause,[],[f9751]) ).
thf(f9760,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_244 ),
inference(constrained_superposition,[],[f9752,f37]) ).
thf(f9763,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_244 ),
inference(trivial_inequality_removal,[],[f9760]) ).
thf(f9882,plain,
( spl0_146
| spl0_166 ),
inference(avatar_split_clause,[],[f9639,f6787,f6610]) ).
thf(f9885,plain,
( spl0_154
| spl0_146
| spl0_166 ),
inference(avatar_split_clause,[],[f9640,f6787,f6610,f6693]) ).
thf(f9901,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_166
| ~ spl0_204 ),
inference(constrained_superposition,[],[f7643,f7960]) ).
thf(f9914,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_166
| ~ spl0_198 ),
inference(constrained_superposition,[],[f7605,f7960]) ).
thf(f9917,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_166 ),
inference(constrained_superposition,[],[f4483,f7960]) ).
thf(f9926,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_19
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f9917]) ).
thf(f9934,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_166
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f9901]) ).
thf(f9942,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_166
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f9914]) ).
thf(f9961,definition,
( spl0_257
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).
thf(f9962,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_257 ),
inference(avatar_component_clause,[],[f9961]) ).
thf(f9964,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_166
| spl0_179
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f9942,f7160]) ).
thf(f9969,definition,
( spl0_258
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).
thf(f9970,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f9969]) ).
thf(f9973,definition,
( spl0_259
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).
thf(f9974,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f9973]) ).
thf(f9977,plain,
( ~ spl0_141
| spl0_154
| ~ spl0_166
| spl0_179
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f9964,f7604,f7159,f6787,f6693,f6592]) ).
thf(f9981,definition,
( spl0_260
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).
thf(f9982,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_260 ),
inference(avatar_component_clause,[],[f9981]) ).
thf(f10006,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_191 ),
inference(constrained_superposition,[],[f33,f9720]) ).
thf(f10011,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| spl0_191 ),
inference(trivial_inequality_removal,[],[f10006]) ).
thf(f10015,definition,
( spl0_261
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_261])],[avatar_definition]) ).
thf(f10016,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_261 ),
inference(avatar_component_clause,[],[f10015]) ).
thf(f10018,definition,
( spl0_262
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_262])],[avatar_definition]) ).
thf(f10019,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f10018]) ).
thf(f10020,plain,
( spl0_261
| spl0_262
| spl0_191 ),
inference(avatar_split_clause,[],[f10011,f7405,f10018,f10015]) ).
thf(f10027,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_203
| ~ spl0_261 ),
inference(constrained_superposition,[],[f10016,f7639]) ).
thf(f10029,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_203
| ~ spl0_261 ),
inference(trivial_inequality_removal,[],[f10027]) ).
thf(f10032,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_203
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f10029,f10016]) ).
thf(f10034,definition,
( spl0_263
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_263])],[avatar_definition]) ).
thf(f10035,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f10034]) ).
thf(f10037,definition,
( spl0_264
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_264])],[avatar_definition]) ).
thf(f10038,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f10037]) ).
thf(f10039,plain,
( spl0_263
| spl0_264
| ~ spl0_203
| ~ spl0_261 ),
inference(avatar_split_clause,[],[f10032,f10015,f7638,f10037,f10034]) ).
thf(f10098,plain,
( spl0_260
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f8253,f129,f106,f9981]) ).
thf(f10138,plain,
( spl0_258
| spl0_154
| spl0_179
| ~ spl0_19
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f9926,f6787,f277,f7159,f6693,f9969]) ).
thf(f10143,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_152
| ~ spl0_222 ),
inference(constrained_superposition,[],[f6654,f8312]) ).
thf(f10144,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_222 ),
inference(constrained_superposition,[],[f7451,f8312]) ).
thf(f10145,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_43
| ~ spl0_222 ),
inference(constrained_superposition,[],[f673,f8312]) ).
thf(f10148,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_43
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f10145]) ).
thf(f10149,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_152
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f10143]) ).
thf(f10150,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_195
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f10144]) ).
thf(f10152,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_36
| ~ spl0_43
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f10148,f529]) ).
thf(f10153,plain,
( $false
| ~ spl0_36
| ~ spl0_152
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f10149,f529]) ).
thf(f10154,plain,
( ~ spl0_36
| ~ spl0_152
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f10153]) ).
thf(f10155,plain,
( $false
| ~ spl0_7
| ~ spl0_195
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f10150,f118]) ).
thf(f10156,plain,
( ~ spl0_7
| ~ spl0_195
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f10155]) ).
thf(f10157,plain,
( spl0_179
| ~ spl0_36
| ~ spl0_43
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f10152,f8311,f672,f528,f7159]) ).
thf(f10172,plain,
( spl0_137
| ~ spl0_166
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f9934,f7642,f6787,f6578]) ).
thf(f10176,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_151
| ~ spl0_203 ),
inference(constrained_superposition,[],[f6651,f7639]) ).
thf(f10178,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_151
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f10176]) ).
thf(f10181,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_151
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f10178,f6651]) ).
thf(f10183,plain,
( spl0_154
| spl0_153
| ~ spl0_151
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f10181,f7638,f6650,f6690,f6693]) ).
thf(f10197,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_153 ),
inference(constrained_superposition,[],[f428,f6691]) ).
thf(f10376,definition,
( spl0_271
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_271])],[avatar_definition]) ).
thf(f10377,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_271 ),
inference(avatar_component_clause,[],[f10376]) ).
thf(f10379,definition,
( spl0_272
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_272])],[avatar_definition]) ).
thf(f10380,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_272 ),
inference(avatar_component_clause,[],[f10379]) ).
thf(f10382,definition,
( spl0_273
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_273])],[avatar_definition]) ).
thf(f10383,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_273 ),
inference(avatar_component_clause,[],[f10382]) ).
thf(f10390,definition,
( spl0_274
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
thf(f10391,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_274 ),
inference(avatar_component_clause,[],[f10390]) ).
thf(f10393,definition,
( spl0_275
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f10394,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_275 ),
inference(avatar_component_clause,[],[f10393]) ).
thf(f10410,definition,
( spl0_276
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
thf(f10411,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_276 ),
inference(avatar_component_clause,[],[f10410]) ).
thf(f10413,definition,
( spl0_277
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
thf(f10414,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_277 ),
inference(avatar_component_clause,[],[f10413]) ).
thf(f10425,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f10197,f30]) ).
thf(f10458,definition,
( spl0_279
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
thf(f10459,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f10458]) ).
thf(f10475,plain,
( $false
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f10425,f32]) ).
thf(f10476,plain,
~ spl0_153,
inference(avatar_contradiction_clause,[],[f10475]) ).
thf(f10511,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_21
| ~ spl0_179 ),
inference(constrained_superposition,[],[f293,f7167]) ).
thf(f10513,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_21
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f10511]) ).
thf(f10517,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_21
| ~ spl0_179
| spl0_222 ),
inference(forward_subsumption_resolution,[],[f10513,f8583]) ).
thf(f10519,plain,
( $false
| ~ spl0_5
| ~ spl0_21
| ~ spl0_179
| spl0_222 ),
inference(forward_subsumption_resolution,[],[f10517,f111]) ).
thf(f10520,plain,
( ~ spl0_5
| ~ spl0_21
| ~ spl0_179
| spl0_222 ),
inference(avatar_contradiction_clause,[],[f10519]) ).
thf(f10527,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f181,f81]) ).
thf(f10531,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f10527]) ).
thf(f10555,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| spl0_244 ),
inference(constrained_superposition,[],[f33,f9763]) ).
thf(f10558,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| spl0_244 ),
inference(trivial_inequality_removal,[],[f10555]) ).
thf(f10562,definition,
( spl0_282
<=> ! [X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition]) ).
thf(f10563,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_282 ),
inference(avatar_component_clause,[],[f10562]) ).
thf(f10565,definition,
( spl0_283
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).
thf(f10566,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ~ spl0_283 ),
inference(avatar_component_clause,[],[f10565]) ).
thf(f10567,plain,
( spl0_282
| spl0_283
| spl0_244 ),
inference(avatar_split_clause,[],[f10558,f9751,f10565,f10562]) ).
thf(f10579,definition,
( spl0_284
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).
thf(f10580,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f10579]) ).
thf(f10623,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f10531,f37]) ).
thf(f10625,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f10623]) ).
thf(f10634,definition,
( spl0_285
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
thf(f10635,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f10634]) ).
thf(f10640,definition,
( spl0_287
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
thf(f10641,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f10640]) ).
thf(f10749,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_38
| ~ spl0_137 ),
inference(constrained_superposition,[],[f543,f6579]) ).
thf(f10751,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_38
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f10749]) ).
thf(f11124,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f7041]) ).
thf(f11214,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f7145]) ).
thf(f11274,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_14
| ~ spl0_177 ),
inference(constrained_superposition,[],[f181,f11214]) ).
thf(f11310,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_14
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f11274]) ).
thf(f11321,plain,
( ~ spl0_141
| ~ spl0_14
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f11310,f7145,f180,f6592]) ).
thf(f11389,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f7182,f37]) ).
thf(f11398,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f11389]) ).
thf(f11543,plain,
( ~ spl0_147
| ~ spl0_38
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f10751,f6578,f542,f6614]) ).
thf(f11554,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_22
| ~ spl0_166 ),
inference(constrained_superposition,[],[f340,f7960]) ).
thf(f11557,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_166 ),
inference(constrained_superposition,[],[f4145,f7960]) ).
thf(f11567,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f27,f7960]) ).
thf(f11574,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f11557]) ).
thf(f11578,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_22
| ~ spl0_166 ),
inference(duplicate_literal_removal,[],[f11554]) ).
thf(f11579,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_22
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f11578]) ).
thf(f11582,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f11567]) ).
thf(f11702,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f11582,f7960]) ).
thf(f11714,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_166 ),
inference(duplicate_literal_removal,[],[f11702]) ).
thf(f11715,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f11714]) ).
thf(f11723,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f11715,f37]) ).
thf(f11731,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f11723]) ).
thf(f11795,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f33,f10625]) ).
thf(f11799,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f11795]) ).
thf(f11868,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_258 ),
inference(constrained_superposition,[],[f9970,f37]) ).
thf(f11869,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f11868]) ).
thf(f12456,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_28 ),
inference(constrained_superposition,[],[f11799,f501]) ).
thf(f12462,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_14
| ~ spl0_28 ),
inference(duplicate_literal_removal,[],[f12456]) ).
thf(f12463,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_14
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f12462]) ).
thf(f12499,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_55 ),
inference(constrained_superposition,[],[f33,f955]) ).
thf(f12506,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f12499]) ).
thf(f12523,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X0 )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f8713,f29]) ).
thf(f12525,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( z = X1 )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f12523]) ).
thf(f12526,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( r @ X1 @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f12525]) ).
thf(f12529,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ X1 ) )
| ( $true != $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f12526,f29]) ).
thf(f12531,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f12526,f80]) ).
thf(f12545,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f12531]) ).
thf(f12546,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ X1 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( z = X1 )
| ( ( r @ X1 @ z )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( X0 = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f12529]) ).
thf(f12562,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_2
| ~ spl0_152 ),
inference(constrained_superposition,[],[f6654,f12546]) ).
thf(f12572,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_2
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f12562]) ).
thf(f12582,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_2
| spl0_147
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f12572,f7959]) ).
thf(f12587,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f12582,f529]) ).
thf(f12592,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f12587,f28]) ).
thf(f12595,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152 ),
inference(constrained_superposition,[],[f6654,f12592]) ).
thf(f12596,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152
| ~ spl0_195 ),
inference(constrained_superposition,[],[f7451,f12592]) ).
thf(f12611,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f12595]) ).
thf(f12619,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f12596]) ).
thf(f12622,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f12611,f543]) ).
thf(f12632,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_36
| spl0_147
| ~ spl0_152
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f12619,f130]) ).
thf(f12671,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_203 ),
inference(constrained_superposition,[],[f12622,f7639]) ).
thf(f12673,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2
| ~ spl0_19
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152 ),
inference(constrained_superposition,[],[f12622,f5752]) ).
thf(f12674,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_2
| ~ spl0_19
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f12673]) ).
thf(f12677,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_203 ),
inference(trivial_inequality_removal,[],[f12671]) ).
thf(f12683,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_195
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[],[f12677,f12632]) ).
thf(f13169,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ z ) ) )
| spl0_153 ),
inference(avatar_component_clause,[],[f6690]) ).
thf(f13215,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ z ) )
| spl0_154 ),
inference(avatar_component_clause,[],[f6693]) ).
thf(f13237,definition,
( spl0_306
<=> ! [X2: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X2 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).
thf(f13238,plain,
( ! [X2: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X2 @ ( s @ z ) )
!= $true ) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f13237]) ).
thf(f13249,definition,
( spl0_307
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).
thf(f13250,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f13249]) ).
thf(f13294,definition,
( spl0_312
<=> ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).
thf(f13295,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f13294]) ).
thf(f13297,definition,
( spl0_313
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_313])],[avatar_definition]) ).
thf(f13298,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_313 ),
inference(avatar_component_clause,[],[f13297]) ).
thf(f13305,definition,
( spl0_314
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).
thf(f13306,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_314 ),
inference(avatar_component_clause,[],[f13305]) ).
thf(f13310,definition,
( spl0_315
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).
thf(f13311,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f13310]) ).
thf(f13316,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_154 ),
inference(extensionality_resolution,[],[f425,f13215]) ).
thf(f13317,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_154 ),
inference(extensionality_resolution,[],[f425,f13215]) ).
thf(f13319,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_154 ),
inference(extensionality_resolution,[],[f78,f13215]) ).
thf(f13326,definition,
( spl0_316
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_316])],[avatar_definition]) ).
thf(f13327,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f13326]) ).
thf(f13329,definition,
( spl0_317
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
thf(f13330,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f13329]) ).
thf(f13331,plain,
( spl0_316
| spl0_317
| spl0_154 ),
inference(avatar_split_clause,[],[f13316,f6693,f13329,f13326]) ).
thf(f13333,definition,
( spl0_318
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_318])],[avatar_definition]) ).
thf(f13334,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f13333]) ).
thf(f13336,definition,
( spl0_319
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_319])],[avatar_definition]) ).
thf(f13337,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f13336]) ).
thf(f13338,plain,
( spl0_318
| spl0_319
| spl0_154 ),
inference(avatar_split_clause,[],[f13317,f6693,f13336,f13333]) ).
thf(f13340,definition,
( spl0_320
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_320])],[avatar_definition]) ).
thf(f13341,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_320 ),
inference(avatar_component_clause,[],[f13340]) ).
thf(f13343,definition,
( spl0_321
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_321])],[avatar_definition]) ).
thf(f13344,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f13343]) ).
thf(f13345,plain,
( spl0_320
| spl0_321
| spl0_154 ),
inference(avatar_split_clause,[],[f13319,f6693,f13343,f13340]) ).
thf(f13346,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_153 ),
inference(extensionality_resolution,[],[f425,f13169]) ).
thf(f13347,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_153 ),
inference(extensionality_resolution,[],[f425,f13169]) ).
thf(f13348,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_153 ),
inference(extensionality_resolution,[],[f78,f13169]) ).
thf(f13349,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_153 ),
inference(extensionality_resolution,[],[f78,f13169]) ).
thf(f13351,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_153 ),
inference(extensionality_resolution,[],[f38,f13169]) ).
thf(f13356,definition,
( spl0_322
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).
thf(f13357,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f13356]) ).
thf(f13359,definition,
( spl0_323
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).
thf(f13360,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_323 ),
inference(avatar_component_clause,[],[f13359]) ).
thf(f13361,plain,
( spl0_322
| spl0_323
| spl0_153 ),
inference(avatar_split_clause,[],[f13346,f6690,f13359,f13356]) ).
thf(f13363,definition,
( spl0_324
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f13364,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f13363]) ).
thf(f13366,definition,
( spl0_325
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
thf(f13367,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f13366]) ).
thf(f13368,plain,
( spl0_324
| spl0_325
| spl0_153 ),
inference(avatar_split_clause,[],[f13347,f6690,f13366,f13363]) ).
thf(f13370,definition,
( spl0_326
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).
thf(f13371,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_326 ),
inference(avatar_component_clause,[],[f13370]) ).
thf(f13373,definition,
( spl0_327
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).
thf(f13374,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_327 ),
inference(avatar_component_clause,[],[f13373]) ).
thf(f13375,plain,
( spl0_326
| spl0_327
| spl0_153 ),
inference(avatar_split_clause,[],[f13349,f6690,f13373,f13370]) ).
thf(f13377,definition,
( spl0_328
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
thf(f13378,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f13377]) ).
thf(f13380,definition,
( spl0_329
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f13381,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f13380]) ).
thf(f13382,plain,
( spl0_328
| spl0_329
| spl0_153 ),
inference(avatar_split_clause,[],[f13351,f6690,f13380,f13377]) ).
thf(f13384,definition,
( spl0_330
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).
thf(f13385,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_330 ),
inference(avatar_component_clause,[],[f13384]) ).
thf(f13387,definition,
( spl0_331
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f13388,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f13387]) ).
thf(f13389,plain,
( spl0_330
| spl0_331
| spl0_153 ),
inference(avatar_split_clause,[],[f13348,f6690,f13387,f13384]) ).
thf(f13390,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_195
| ~ spl0_203
| ~ spl0_329 ),
inference(constrained_superposition,[],[f13381,f12683]) ).
thf(f13412,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_329 ),
inference(constrained_superposition,[],[f8422,f13381]) ).
thf(f13416,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_329 ),
inference(constrained_superposition,[],[f5735,f13381]) ).
thf(f13436,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_19
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f13416]) ).
thf(f13443,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f13412]) ).
thf(f13448,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f9190]) ).
thf(f13450,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_195
| ~ spl0_203
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f13390,f28]) ).
thf(f13454,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_19
| spl0_154
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f13436,f13215]) ).
thf(f13462,definition,
( spl0_333
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_333])],[avatar_definition]) ).
thf(f13463,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f13462]) ).
thf(f13464,plain,
( spl0_333
| ~ spl0_160
| ~ spl0_190
| ~ spl0_2
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f13443,f13380,f66,f7400,f6765,f13462]) ).
thf(f13465,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_195
| ~ spl0_203
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f13450,f30]) ).
thf(f13468,plain,
( spl0_307
| spl0_146
| spl0_207
| spl0_264
| ~ spl0_19
| spl0_154
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f13454,f13380,f6693,f277,f10037,f7846,f6610,f13249]) ).
thf(f13471,plain,
( spl0_263
| spl0_264
| ~ spl0_2
| ~ spl0_10
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_195
| ~ spl0_203
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f13465,f13380,f7638,f7450,f6653,f6614,f542,f528,f129,f66,f10037,f10034]) ).
thf(f13517,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_263 ),
inference(constrained_superposition,[],[f3254,f10035]) ).
thf(f13782,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f13517,f30]) ).
thf(f13838,plain,
( $false
| ~ spl0_263 ),
inference(forward_subsumption_resolution,[],[f13782,f32]) ).
thf(f13839,plain,
~ spl0_263,
inference(avatar_contradiction_clause,[],[f13838]) ).
thf(f13854,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_230 ),
inference(constrained_superposition,[],[f8273,f13448]) ).
thf(f13859,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_82
| ~ spl0_230 ),
inference(constrained_superposition,[],[f1432,f13448]) ).
thf(f13861,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_216
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f13854]) ).
thf(f13863,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f13859]) ).
thf(f13870,plain,
( spl0_307
| ~ spl0_216
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f13861,f9190,f8272,f13249]) ).
thf(f13871,plain,
( spl0_263
| spl0_264
| ~ spl0_82
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f13863,f9190,f1431,f10037,f10034]) ).
thf(f13982,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_264 ),
inference(constrained_superposition,[],[f81,f10038]) ).
thf(f14234,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f13982,f32]) ).
thf(f14307,plain,
( $false
| ~ spl0_264 ),
inference(forward_subsumption_resolution,[],[f14234,f30]) ).
thf(f14308,plain,
~ spl0_264,
inference(avatar_contradiction_clause,[],[f14307]) ).
thf(f14397,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_195
| ~ spl0_203
| ~ spl0_328 ),
inference(constrained_superposition,[],[f13378,f12683]) ).
thf(f14405,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_14
| ~ spl0_28
| ~ spl0_328 ),
inference(constrained_superposition,[],[f12463,f13378]) ).
thf(f14406,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_100
| ~ spl0_328 ),
inference(constrained_superposition,[],[f2320,f13378]) ).
thf(f14407,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_328 ),
inference(constrained_superposition,[],[f673,f13378]) ).
thf(f14408,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_50
| ~ spl0_328 ),
inference(constrained_superposition,[],[f837,f13378]) ).
thf(f14410,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_14
| ~ spl0_28
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f14405]) ).
thf(f14413,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_100
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f14406]) ).
thf(f14414,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_50
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f14408]) ).
thf(f14418,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_43
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f14407]) ).
thf(f14421,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_146 ),
inference(avatar_component_clause,[],[f6610]) ).
thf(f14422,plain,
( spl0_333
| ~ spl0_146
| ~ spl0_14
| ~ spl0_28
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f14410,f13377,f500,f180,f6610,f13462]) ).
thf(f14424,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_195
| ~ spl0_203
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f14397,f28]) ).
thf(f14425,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_50
| ~ spl0_137
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f14414,f6579]) ).
thf(f14428,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_43
| ~ spl0_137
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f14418,f6579]) ).
thf(f14430,definition,
( spl0_334
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_334])],[avatar_definition]) ).
thf(f14431,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_334 ),
inference(avatar_component_clause,[],[f14430]) ).
thf(f14433,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_195
| ~ spl0_203
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f14424,f32]) ).
thf(f14434,plain,
( spl0_333
| ~ spl0_50
| ~ spl0_137
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f14425,f13377,f6578,f836,f13462]) ).
thf(f14437,plain,
( spl0_307
| ~ spl0_43
| ~ spl0_137
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f14428,f13377,f6578,f672,f13249]) ).
thf(f14438,plain,
( spl0_263
| spl0_264
| ~ spl0_2
| ~ spl0_10
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_195
| ~ spl0_203
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f14433,f13377,f7638,f7450,f6653,f6614,f542,f528,f129,f66,f10037,f10034]) ).
thf(f14440,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_166
| spl0_222 ),
inference(forward_subsumption_resolution,[],[f11731,f8583]) ).
thf(f14442,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f11574,f28]) ).
thf(f14443,plain,
( spl0_259
| spl0_179
| ~ spl0_13
| ~ spl0_22
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f11579,f6787,f339,f177,f7159,f9973]) ).
thf(f14444,plain,
( ~ spl0_13
| spl0_14
| ~ spl0_166
| spl0_222 ),
inference(avatar_split_clause,[],[f14440,f8311,f6787,f180,f177]) ).
thf(f14445,plain,
( spl0_179
| spl0_259
| ~ spl0_19
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f14442,f6787,f277,f9973,f7159]) ).
thf(f15051,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_177 ),
inference(constrained_superposition,[],[f278,f11214]) ).
thf(f15094,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f15051]) ).
thf(f15103,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_19
| ~ spl0_166
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f15094,f7960]) ).
thf(f15105,plain,
( spl0_259
| ~ spl0_19
| ~ spl0_166
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f15103,f7145,f6787,f277,f9973]) ).
thf(f15370,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_100
| ~ spl0_137
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f14413,f6579]) ).
thf(f15379,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_100
| ~ spl0_137
| ~ spl0_328 ),
inference(constrained_superposition,[],[f33,f15370]) ).
thf(f15380,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_100
| ~ spl0_137
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f15379]) ).
thf(f15383,definition,
( spl0_335
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).
thf(f15384,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f15383]) ).
thf(f15385,plain,
( spl0_261
| spl0_335
| ~ spl0_100
| ~ spl0_137
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f15380,f13377,f6578,f2319,f15383,f10015]) ).
thf(f15391,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_262
| ~ spl0_307 ),
inference(constrained_superposition,[],[f10019,f13250]) ).
thf(f15401,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_262
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f15391]) ).
thf(f15409,plain,
( $false
| ~ spl0_5
| ~ spl0_262
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f15401,f111]) ).
thf(f15410,plain,
( ~ spl0_5
| ~ spl0_262
| ~ spl0_307 ),
inference(avatar_contradiction_clause,[],[f15409]) ).
thf(f15441,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_320 ),
inference(constrained_superposition,[],[f673,f13341]) ).
thf(f15447,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_43
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f15441]) ).
thf(f15449,definition,
( spl0_337
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_337])],[avatar_definition]) ).
thf(f15450,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_337 ),
inference(avatar_component_clause,[],[f15449]) ).
thf(f15453,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_43
| ~ spl0_137
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f15447,f6579]) ).
thf(f15454,plain,
( spl0_315
| ~ spl0_43
| ~ spl0_137
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f15453,f13340,f6578,f672,f13310]) ).
thf(f15463,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_257
| ~ spl0_321 ),
inference(constrained_superposition,[],[f9962,f13344]) ).
thf(f15481,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_321 ),
inference(constrained_superposition,[],[f168,f13344]) ).
thf(f15483,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_321 ),
inference(constrained_superposition,[],[f5974,f13344]) ).
thf(f15485,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_321 ),
inference(constrained_superposition,[],[f12526,f13344]) ).
thf(f15486,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_19
| ~ spl0_321 ),
inference(constrained_superposition,[],[f5735,f13344]) ).
thf(f15491,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_257
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f15463]) ).
thf(f15494,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_19
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f15486]) ).
thf(f15500,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f15481]) ).
thf(f15504,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_19
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f15483]) ).
thf(f15512,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f15485]) ).
thf(f15517,plain,
( ~ spl0_313
| ~ spl0_244
| ~ spl0_257
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f15491,f13343,f9961,f9751,f13297]) ).
thf(f15518,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_19
| spl0_146
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f15494,f14421]) ).
thf(f15520,definition,
( spl0_338
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_338])],[avatar_definition]) ).
thf(f15521,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_338 ),
inference(avatar_component_clause,[],[f15520]) ).
thf(f15524,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_166
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f15500,f7960]) ).
thf(f15526,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f15504,f28]) ).
thf(f15528,definition,
( spl0_339
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).
thf(f15529,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f15528]) ).
thf(f15531,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f9219]) ).
thf(f15534,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_147
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f15512,f7959]) ).
thf(f15540,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_19
| spl0_146
| spl0_154
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f15518,f13215]) ).
thf(f15541,plain,
( spl0_169
| spl0_285
| ~ spl0_166
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f15524,f13343,f6787,f10634,f6799]) ).
thf(f15542,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_19
| ~ spl0_166
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f15526,f7960]) ).
thf(f15543,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_147
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f15534,f28]) ).
thf(f15545,plain,
( spl0_285
| spl0_315
| spl0_287
| ~ spl0_19
| spl0_146
| spl0_154
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f15540,f13343,f6693,f6610,f277,f10640,f13310,f10634]) ).
thf(f15546,plain,
( spl0_285
| spl0_315
| ~ spl0_19
| ~ spl0_166
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f15542,f13343,f6787,f277,f13310,f10634]) ).
thf(f15547,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_147
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f15543,f28]) ).
thf(f15548,plain,
( spl0_235
| spl0_338
| ~ spl0_2
| spl0_147
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f15547,f13343,f6614,f66,f15520,f9219]) ).
thf(f15549,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_272 ),
inference(constrained_superposition,[],[f10380,f36]) ).
thf(f15552,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_272 ),
inference(trivial_inequality_removal,[],[f15549]) ).
thf(f15554,plain,
( spl0_235
| spl0_272 ),
inference(avatar_split_clause,[],[f15552,f10379,f9219]) ).
thf(f15558,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_82
| ~ spl0_235 ),
inference(constrained_superposition,[],[f1432,f15531]) ).
thf(f15564,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_82
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f15558]) ).
thf(f15570,definition,
( spl0_341
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_341])],[avatar_definition]) ).
thf(f15571,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_341 ),
inference(avatar_component_clause,[],[f15570]) ).
thf(f15572,plain,
( spl0_341
| spl0_287
| ~ spl0_82
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f15564,f9219,f1431,f10640,f15570]) ).
thf(f15576,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_203
| ~ spl0_283 ),
inference(constrained_superposition,[],[f10566,f7639]) ).
thf(f15580,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_203
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f15576]) ).
thf(f15583,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_203
| ~ spl0_283 ),
inference(forward_subsumption_resolution,[],[f15580,f10566]) ).
thf(f15585,plain,
( spl0_287
| spl0_341
| ~ spl0_203
| ~ spl0_283 ),
inference(avatar_split_clause,[],[f15583,f10565,f7638,f15570,f10640]) ).
thf(f15661,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f427,f10641]) ).
thf(f15848,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f15661,f32]) ).
thf(f15920,plain,
( $false
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f15848,f30]) ).
thf(f15921,plain,
~ spl0_287,
inference(avatar_contradiction_clause,[],[f15920]) ).
thf(f15939,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_313 ),
inference(constrained_superposition,[],[f13298,f80]) ).
thf(f15942,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_313 ),
inference(trivial_inequality_removal,[],[f15939]) ).
thf(f15945,plain,
( spl0_285
| spl0_313 ),
inference(avatar_split_clause,[],[f15942,f13297,f10634]) ).
thf(f15960,definition,
( spl0_342
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_342])],[avatar_definition]) ).
thf(f15961,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_342 ),
inference(avatar_component_clause,[],[f15960]) ).
thf(f15984,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_341 ),
inference(constrained_superposition,[],[f428,f15571]) ).
thf(f16214,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f15984,f30]) ).
thf(f16263,plain,
( $false
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f16214,f32]) ).
thf(f16264,plain,
~ spl0_341,
inference(avatar_contradiction_clause,[],[f16263]) ).
thf(f16269,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f6800,f427]) ).
thf(f16276,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f16269]) ).
thf(f16315,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_55
| ~ spl0_326 ),
inference(constrained_superposition,[],[f12506,f13371]) ).
thf(f16326,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_55
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f16315]) ).
thf(f16334,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_55
| spl0_230
| ~ spl0_326 ),
inference(forward_subsumption_resolution,[],[f16326,f9191]) ).
thf(f16336,plain,
( spl0_335
| ~ spl0_55
| spl0_230
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f16334,f13370,f9190,f954,f15383]) ).
thf(f16354,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_327 ),
inference(constrained_superposition,[],[f168,f13374]) ).
thf(f16357,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_327 ),
inference(constrained_superposition,[],[f48,f13374]) ).
thf(f16358,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_327 ),
inference(constrained_superposition,[],[f12526,f13374]) ).
thf(f16367,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f16357]) ).
thf(f16373,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f16354]) ).
thf(f16382,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f16358]) ).
thf(f16386,definition,
( spl0_344
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).
thf(f16387,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_344 ),
inference(avatar_component_clause,[],[f16386]) ).
thf(f16388,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_229 ),
inference(avatar_component_clause,[],[f9187]) ).
thf(f16399,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| spl0_235
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f16367,f9220]) ).
thf(f16401,plain,
( spl0_285
| ~ spl0_189
| spl0_210
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f16373,f13373,f7901,f7397,f10634]) ).
thf(f16403,definition,
( spl0_347
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f16404,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f16403]) ).
thf(f16412,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_230
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f16382,f9191]) ).
thf(f16417,definition,
( spl0_350
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_350])],[avatar_definition]) ).
thf(f16418,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_350 ),
inference(avatar_component_clause,[],[f16417]) ).
thf(f16421,plain,
( spl0_194
| ~ spl0_190
| spl0_235
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f16399,f13373,f9219,f7400,f7446]) ).
thf(f16422,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_230
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f16412,f28]) ).
thf(f16423,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_230
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f16422,f28]) ).
thf(f16424,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_2
| spl0_230
| spl0_235
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f16423,f9220]) ).
thf(f16425,plain,
( spl0_338
| ~ spl0_2
| spl0_230
| spl0_235
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f16424,f13373,f9219,f9190,f66,f15520]) ).
thf(f16444,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_55
| ~ spl0_188 ),
inference(constrained_superposition,[],[f12506,f7395]) ).
thf(f16447,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_188 ),
inference(constrained_superposition,[],[f12622,f7395]) ).
thf(f16450,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f16447]) ).
thf(f16454,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_55
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f16444]) ).
thf(f16456,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f16450,f28]) ).
thf(f16459,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_55
| ~ spl0_188
| spl0_230 ),
inference(forward_subsumption_resolution,[],[f16454,f9191]) ).
thf(f16461,plain,
( spl0_335
| ~ spl0_55
| ~ spl0_188
| spl0_230 ),
inference(avatar_split_clause,[],[f16459,f9190,f7394,f954,f15383]) ).
thf(f16472,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_188 ),
inference(constrained_superposition,[],[f3254,f16456]) ).
thf(f16484,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_188
| ~ spl0_225 ),
inference(constrained_superposition,[],[f8460,f16456]) ).
thf(f16664,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f16472,f30]) ).
thf(f16666,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_188
| ~ spl0_225 ),
inference(forward_subsumption_resolution,[],[f16484,f32]) ).
thf(f16690,plain,
( $false
| ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_188 ),
inference(forward_subsumption_resolution,[],[f16664,f32]) ).
thf(f16691,plain,
( ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_188 ),
inference(avatar_contradiction_clause,[],[f16690]) ).
thf(f16693,plain,
( ~ spl0_160
| ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_188
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f16666,f8459,f7394,f6653,f6614,f542,f528,f66,f6765]) ).
thf(f16714,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_208 ),
inference(constrained_superposition,[],[f7868,f38]) ).
thf(f16718,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_208 ),
inference(trivial_inequality_removal,[],[f16714]) ).
thf(f16722,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_154
| spl0_208 ),
inference(forward_subsumption_resolution,[],[f16718,f13215]) ).
thf(f16724,plain,
( spl0_188
| spl0_154
| spl0_208 ),
inference(avatar_split_clause,[],[f16722,f7867,f6693,f7394]) ).
thf(f16744,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_229 ),
inference(constrained_superposition,[],[f16388,f3254]) ).
thf(f16745,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_229 ),
inference(constrained_superposition,[],[f16388,f78]) ).
thf(f16748,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_229 ),
inference(trivial_inequality_removal,[],[f16744]) ).
thf(f16750,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_229 ),
inference(trivial_inequality_removal,[],[f16745]) ).
thf(f16752,plain,
( spl0_350
| spl0_229 ),
inference(avatar_split_clause,[],[f16748,f9187,f16417]) ).
thf(f16754,plain,
( spl0_350
| spl0_46
| spl0_229 ),
inference(avatar_split_clause,[],[f16750,f9187,f689,f16417]) ).
thf(f16760,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_55
| ~ spl0_350 ),
inference(constrained_superposition,[],[f12506,f16418]) ).
thf(f16763,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_152
| ~ spl0_350 ),
inference(constrained_superposition,[],[f6654,f16418]) ).
thf(f16772,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_55
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f16760]) ).
thf(f16773,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_152
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f16763]) ).
thf(f16777,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_55
| spl0_230
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f16772,f9191]) ).
thf(f16779,plain,
( spl0_335
| ~ spl0_55
| spl0_230
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f16777,f16417,f9190,f954,f15383]) ).
thf(f16781,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_152
| ~ spl0_203
| ~ spl0_350 ),
inference(constrained_superposition,[],[f16773,f7639]) ).
thf(f16783,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_152
| ~ spl0_203
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f16781]) ).
thf(f16784,plain,
( spl0_263
| spl0_207
| spl0_264
| ~ spl0_152
| ~ spl0_203
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f16783,f16417,f7638,f6653,f10037,f7846,f10034]) ).
thf(f16801,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f7447,f3254]) ).
thf(f16808,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f16801]) ).
thf(f16832,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_55
| ~ spl0_330 ),
inference(constrained_superposition,[],[f12506,f13385]) ).
thf(f16835,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_306
| ~ spl0_330 ),
inference(constrained_superposition,[],[f13238,f13385]) ).
thf(f16836,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_175
| ~ spl0_330 ),
inference(constrained_superposition,[],[f7078,f13385]) ).
thf(f16841,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_55
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f16832]) ).
thf(f16843,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_306
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f16835]) ).
thf(f16846,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_175
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f16836]) ).
thf(f16848,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_55
| spl0_235
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f16841,f9220]) ).
thf(f16850,plain,
( $false
| ~ spl0_285
| ~ spl0_306
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f16843,f10635]) ).
thf(f16851,plain,
( ~ spl0_285
| ~ spl0_306
| ~ spl0_330 ),
inference(avatar_contradiction_clause,[],[f16850]) ).
thf(f16854,plain,
( spl0_342
| ~ spl0_55
| spl0_235
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f16848,f13384,f9219,f954,f15960]) ).
thf(f16858,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_328
| ~ spl0_335 ),
inference(constrained_superposition,[],[f15384,f13378]) ).
thf(f16867,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_328
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f16858]) ).
thf(f16877,plain,
( $false
| ~ spl0_137
| ~ spl0_328
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f16867,f6579]) ).
thf(f16878,plain,
( ~ spl0_137
| ~ spl0_328
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f16877]) ).
thf(f16883,definition,
( spl0_352
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_352])],[avatar_definition]) ).
thf(f16884,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_352 ),
inference(avatar_component_clause,[],[f16883]) ).
thf(f16885,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_344 ),
inference(avatar_component_clause,[],[f16386]) ).
thf(f16886,plain,
( spl0_352
| ~ spl0_344
| ~ spl0_175
| ~ spl0_330 ),
inference(avatar_split_clause,[],[f16846,f13384,f7077,f16386,f16883]) ).
thf(f16899,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_344 ),
inference(constrained_superposition,[],[f16885,f425]) ).
thf(f16900,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152
| spl0_344 ),
inference(constrained_superposition,[],[f16885,f12592]) ).
thf(f16901,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_344 ),
inference(trivial_inequality_removal,[],[f16899]) ).
thf(f16902,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152
| spl0_344 ),
inference(trivial_inequality_removal,[],[f16900]) ).
thf(f16903,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_344 ),
inference(forward_subsumption_resolution,[],[f16901,f28]) ).
thf(f16904,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152
| spl0_344 ),
inference(forward_subsumption_resolution,[],[f16902,f28]) ).
thf(f16905,plain,
( spl0_233
| spl0_344 ),
inference(avatar_split_clause,[],[f16903,f16386,f9213]) ).
thf(f16906,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152
| spl0_235
| spl0_344 ),
inference(forward_subsumption_resolution,[],[f16904,f9220]) ).
thf(f16915,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152
| spl0_235
| spl0_344 ),
inference(constrained_superposition,[],[f3254,f16906]) ).
thf(f17099,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152
| spl0_235
| spl0_344 ),
inference(forward_subsumption_resolution,[],[f16915,f32]) ).
thf(f17120,plain,
( $false
| ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152
| spl0_235
| spl0_344 ),
inference(forward_subsumption_resolution,[],[f17099,f30]) ).
thf(f17121,plain,
( ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152
| spl0_235
| spl0_344 ),
inference(avatar_contradiction_clause,[],[f17120]) ).
thf(f17138,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_152
| ~ spl0_344 ),
inference(constrained_superposition,[],[f6654,f16387]) ).
thf(f17141,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_152
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f17138]) ).
thf(f17150,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_152
| ~ spl0_203
| ~ spl0_344 ),
inference(constrained_superposition,[],[f17141,f7639]) ).
thf(f17152,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_152
| ~ spl0_203
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f17150]) ).
thf(f17153,plain,
( spl0_287
| spl0_285
| spl0_341
| ~ spl0_152
| ~ spl0_203
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f17152,f16386,f7638,f6653,f15570,f10634,f10640]) ).
thf(f17156,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_10
| ~ spl0_285 ),
inference(constrained_superposition,[],[f130,f10635]) ).
thf(f17160,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_10
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f17156]) ).
thf(f17175,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_214
| ~ spl0_233 ),
inference(constrained_superposition,[],[f8168,f9214]) ).
thf(f17177,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_233
| ~ spl0_259 ),
inference(constrained_superposition,[],[f9974,f9214]) ).
thf(f17179,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_166
| ~ spl0_233 ),
inference(constrained_superposition,[],[f11715,f9214]) ).
thf(f17187,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_233 ),
inference(constrained_superposition,[],[f8422,f9214]) ).
thf(f17188,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_19
| ~ spl0_233 ),
inference(constrained_superposition,[],[f5974,f9214]) ).
thf(f17200,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_233
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f17177]) ).
thf(f17202,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_214
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f17175]) ).
thf(f17208,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_19
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f17188]) ).
thf(f17214,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_166
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f17179]) ).
thf(f17219,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f17187]) ).
thf(f17230,plain,
( ~ spl0_313
| ~ spl0_233
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f17200,f9973,f9213,f13297]) ).
thf(f17231,plain,
( ~ spl0_277
| ~ spl0_276
| ~ spl0_214
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f17202,f9213,f8167,f10410,f10413]) ).
thf(f17233,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_19
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f17208,f28]) ).
thf(f17234,plain,
( ~ spl0_313
| spl0_312
| ~ spl0_166
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f17214,f9213,f6787,f13294,f13297]) ).
thf(f17236,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| spl0_222
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f17219,f8583]) ).
thf(f17240,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_19
| spl0_146
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f17233,f14421]) ).
thf(f17242,plain,
( ~ spl0_272
| ~ spl0_160
| ~ spl0_2
| spl0_222
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f17236,f9213,f8311,f66,f6765,f10379]) ).
thf(f17244,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_19
| spl0_146
| spl0_179
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f17240,f7160]) ).
thf(f17246,plain,
( ~ spl0_313
| ~ spl0_19
| spl0_146
| spl0_179
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f17244,f9213,f7159,f6610,f277,f13297]) ).
thf(f17259,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_331 ),
inference(constrained_superposition,[],[f621,f13388]) ).
thf(f17263,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_71
| ~ spl0_331 ),
inference(constrained_superposition,[],[f1244,f13388]) ).
thf(f17270,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_331 ),
inference(constrained_superposition,[],[f12526,f13388]) ).
thf(f17284,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f17270]) ).
thf(f17287,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_71
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f17263]) ).
thf(f17292,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f17259]) ).
thf(f17307,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f17284,f28]) ).
thf(f17308,plain,
( ~ spl0_314
| ~ spl0_272
| spl0_352
| ~ spl0_71
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f17287,f13387,f1243,f16883,f10379,f13305]) ).
thf(f17310,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_152
| ~ spl0_331
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f17292,f16773]) ).
thf(f17321,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f17307,f28]) ).
thf(f17324,plain,
( spl0_279
| ~ spl0_314
| ~ spl0_152
| ~ spl0_331
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f17310,f16417,f13387,f6653,f13305,f10458]) ).
thf(f17326,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_2
| spl0_235
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f17321,f9220]) ).
thf(f17327,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_2
| spl0_230
| spl0_235
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f17326,f9191]) ).
thf(f17328,plain,
( spl0_333
| ~ spl0_2
| spl0_230
| spl0_235
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f17327,f13387,f9219,f9190,f66,f13462]) ).
thf(f17330,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_306
| ~ spl0_333 ),
inference(constrained_superposition,[],[f13238,f13463]) ).
thf(f17333,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_306
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f17330]) ).
thf(f17336,plain,
( $false
| ~ spl0_7
| ~ spl0_306
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f17333,f118]) ).
thf(f17337,plain,
( ~ spl0_7
| ~ spl0_306
| ~ spl0_333 ),
inference(avatar_contradiction_clause,[],[f17336]) ).
thf(f17339,plain,
( spl0_350
| ~ spl0_141
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f16808,f7446,f6592,f16417]) ).
thf(f17377,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f168,f9188]) ).
thf(f17379,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_19
| ~ spl0_229 ),
inference(constrained_superposition,[],[f5974,f9188]) ).
thf(f17382,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_19
| ~ spl0_229 ),
inference(constrained_superposition,[],[f5735,f9188]) ).
thf(f17390,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_19
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f17379]) ).
thf(f17402,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_19
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f17382]) ).
thf(f17408,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f17377]) ).
thf(f17420,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_19
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f17390,f28]) ).
thf(f17426,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_19
| spl0_179
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f17402,f7160]) ).
thf(f17432,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true ) )
| spl0_146
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f17408,f14421]) ).
thf(f17434,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_19
| spl0_146
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f17420,f14421]) ).
thf(f17437,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| spl0_146
| spl0_179
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f17426,f14421]) ).
thf(f17439,plain,
( spl0_210
| ~ spl0_189
| spl0_146
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f17432,f9187,f6610,f7397,f7901]) ).
thf(f17440,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_19
| spl0_146
| spl0_179
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f17434,f7160]) ).
thf(f17442,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| spl0_146
| spl0_154
| spl0_179
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f17437,f13215]) ).
thf(f17443,plain,
( ~ spl0_189
| ~ spl0_19
| spl0_146
| spl0_179
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f17440,f9187,f7159,f6610,f277,f7397]) ).
thf(f17445,plain,
( spl0_264
| spl0_207
| ~ spl0_19
| spl0_146
| spl0_154
| spl0_179
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f17442,f9187,f7159,f6693,f6610,f277,f7846,f10037]) ).
thf(f17450,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2
| ~ spl0_19
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f12674,f28]) ).
thf(f17451,plain,
( spl0_203
| spl0_46
| spl0_30
| ~ spl0_19
| spl0_45 ),
inference(avatar_split_clause,[],[f7966,f686,f277,f507,f689,f7638]) ).
thf(f17456,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_2
| ~ spl0_19
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f17450,f13215]) ).
thf(f17460,plain,
( spl0_203
| spl0_30
| spl0_46
| ~ spl0_2
| ~ spl0_19
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| spl0_154 ),
inference(avatar_split_clause,[],[f17456,f6693,f6653,f6614,f542,f528,f277,f66,f689,f507,f7638]) ).
thf(f17462,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_10
| ~ spl0_30 ),
inference(constrained_superposition,[],[f130,f508]) ).
thf(f17464,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_10
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f17462]) ).
thf(f17481,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_36
| ~ spl0_39 ),
inference(constrained_superposition,[],[f547,f529]) ).
thf(f17485,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_36
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f17481]) ).
thf(f17493,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_222
| ~ spl0_258 ),
inference(forward_subsumption_resolution,[],[f11869,f8583]) ).
thf(f17499,plain,
( ~ spl0_7
| ~ spl0_36
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f17485,f546,f528,f117]) ).
thf(f17500,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_222
| ~ spl0_258 ),
inference(forward_subsumption_resolution,[],[f17493,f28]) ).
thf(f17502,plain,
( spl0_7
| spl0_222
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f17500,f9969,f8311,f117]) ).
thf(f17515,plain,
( ( $true != $true )
| ~ spl0_137
| ~ spl0_151 ),
inference(constrained_superposition,[],[f6651,f6579]) ).
thf(f17516,plain,
( ( $true != $true )
| ~ spl0_151
| ~ spl0_328 ),
inference(constrained_superposition,[],[f6651,f13378]) ).
thf(f17517,plain,
( ( $true != $true )
| ~ spl0_151
| ~ spl0_320 ),
inference(constrained_superposition,[],[f6651,f13341]) ).
thf(f17519,plain,
( $false
| ~ spl0_151
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f17517]) ).
thf(f17520,plain,
( ~ spl0_151
| ~ spl0_320 ),
inference(avatar_contradiction_clause,[],[f17519]) ).
thf(f17521,plain,
( $false
| ~ spl0_137
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f17515]) ).
thf(f17522,plain,
( ~ spl0_137
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f17521]) ).
thf(f17524,plain,
( $false
| ~ spl0_151
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f17516]) ).
thf(f17525,plain,
( ~ spl0_151
| ~ spl0_328 ),
inference(avatar_contradiction_clause,[],[f17524]) ).
thf(f17528,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_177 ),
inference(constrained_superposition,[],[f7146,f29]) ).
thf(f17530,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_177 ),
inference(trivial_inequality_removal,[],[f17528]) ).
thf(f17532,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_154
| spl0_177 ),
inference(forward_subsumption_resolution,[],[f17530,f13215]) ).
thf(f17534,plain,
( spl0_179
| spl0_154
| spl0_177 ),
inference(avatar_split_clause,[],[f17532,f7145,f6693,f7159]) ).
thf(f17565,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_314 ),
inference(constrained_superposition,[],[f13306,f78]) ).
thf(f17571,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_314 ),
inference(trivial_inequality_removal,[],[f17565]) ).
thf(f17576,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_152
| spl0_314
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f17571,f17141]) ).
thf(f17579,plain,
( $false
| ~ spl0_152
| spl0_314
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f17576,f28]) ).
thf(f17580,plain,
( ~ spl0_152
| spl0_314
| ~ spl0_344 ),
inference(avatar_contradiction_clause,[],[f17579]) ).
thf(f17582,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_195
| ~ spl0_350 ),
inference(constrained_superposition,[],[f7451,f16418]) ).
thf(f17583,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_344 ),
inference(constrained_superposition,[],[f7451,f16387]) ).
thf(f17584,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_134
| ~ spl0_195 ),
inference(constrained_superposition,[],[f7451,f6568]) ).
thf(f17589,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_195
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f17582]) ).
thf(f17593,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_195
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f17583]) ).
thf(f17594,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_134
| ~ spl0_195 ),
inference(trivial_inequality_removal,[],[f17584]) ).
thf(f17596,plain,
( $false
| ~ spl0_195
| ~ spl0_285
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f17593,f10635]) ).
thf(f17597,plain,
( ~ spl0_195
| ~ spl0_285
| ~ spl0_344 ),
inference(avatar_contradiction_clause,[],[f17596]) ).
thf(f17598,plain,
( $false
| ~ spl0_30
| ~ spl0_134
| ~ spl0_195 ),
inference(forward_subsumption_resolution,[],[f17594,f508]) ).
thf(f17599,plain,
( ~ spl0_30
| ~ spl0_134
| ~ spl0_195 ),
inference(avatar_contradiction_clause,[],[f17598]) ).
thf(f17600,plain,
( ~ spl0_235
| ~ spl0_10
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f17160,f10634,f129,f9219]) ).
thf(f17606,plain,
( ( $true != $true )
| ~ spl0_44
| ~ spl0_339 ),
inference(constrained_superposition,[],[f676,f15529]) ).
thf(f17607,plain,
( ( $true != $true )
| ~ spl0_30
| ~ spl0_44 ),
inference(constrained_superposition,[],[f676,f508]) ).
thf(f17608,plain,
( $false
| ~ spl0_44
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f17606]) ).
thf(f17609,plain,
( ~ spl0_44
| ~ spl0_339 ),
inference(avatar_contradiction_clause,[],[f17608]) ).
thf(f17610,plain,
( $false
| ~ spl0_30
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f17607]) ).
thf(f17611,plain,
( ~ spl0_30
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f17610]) ).
thf(f17612,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_54
| ~ spl0_174 ),
inference(constrained_superposition,[],[f952,f11124]) ).
thf(f17613,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_42
| ~ spl0_174 ),
inference(constrained_superposition,[],[f642,f11124]) ).
thf(f17620,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_171
| ~ spl0_174 ),
inference(constrained_superposition,[],[f6810,f11124]) ).
thf(f17632,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_174 ),
inference(constrained_superposition,[],[f8422,f11124]) ).
thf(f17634,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_174 ),
inference(constrained_superposition,[],[f12526,f11124]) ).
thf(f17638,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_42
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f17613]) ).
thf(f17643,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_54
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f17612]) ).
thf(f17650,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_171
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f17620]) ).
thf(f17651,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f17632]) ).
thf(f17652,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f17634]) ).
thf(f17661,plain,
( ~ spl0_141
| ~ spl0_54
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f17643,f7041,f951,f6592]) ).
thf(f17663,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_147
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f17652,f7959]) ).
thf(f17666,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_30
| spl0_147
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f17663,f17464]) ).
thf(f17667,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_30
| spl0_147
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f17666,f28]) ).
thf(f17668,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_10
| ~ spl0_30
| spl0_147
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f17667,f28]) ).
thf(f17672,plain,
( ~ spl0_41
| spl0_137
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f16276,f6799,f6578,f638]) ).
thf(f17673,plain,
( ~ spl0_35
| spl0_222
| ~ spl0_160
| ~ spl0_2
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f17651,f7041,f66,f6765,f8311,f525]) ).
thf(f17674,plain,
( spl0_222
| ~ spl0_2
| ~ spl0_10
| ~ spl0_30
| spl0_147
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f17668,f7041,f6614,f507,f129,f66,f8311]) ).
thf(f17679,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| spl0_141 ),
inference(constrained_superposition,[],[f6593,f37]) ).
thf(f17681,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_141 ),
inference(trivial_inequality_removal,[],[f17679]) ).
thf(f17683,plain,
( spl0_222
| spl0_141 ),
inference(avatar_split_clause,[],[f17681,f6592,f8311]) ).
thf(f17691,plain,
( $false
| ~ spl0_146
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f6611,f6651]) ).
thf(f17692,plain,
( ~ spl0_146
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f17691]) ).
thf(f17693,plain,
( ~ spl0_177
| ~ spl0_42
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f17638,f7041,f641,f7145]) ).
thf(f17705,plain,
( ~ spl0_35
| spl0_134
| spl0_223
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f6953,f6809,f8314,f6567,f525]) ).
thf(f17706,plain,
( ~ spl0_35
| spl0_223
| ~ spl0_171
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f17650,f7041,f6809,f8314,f525]) ).
thf(f17709,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| spl0_147
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f17663,f28]) ).
thf(f17710,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| spl0_147
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f17709,f28]) ).
thf(f17711,plain,
( spl0_26
| spl0_222
| ~ spl0_2
| spl0_147
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f17710,f7041,f6614,f66,f8311,f493]) ).
thf(f17734,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_110
| ~ spl0_177 ),
inference(constrained_superposition,[],[f3327,f11214]) ).
thf(f17769,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_110
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f17734]) ).
thf(f17777,plain,
( ~ spl0_141
| spl0_137
| ~ spl0_110
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f17769,f7145,f3326,f6578,f6592]) ).
thf(f17905,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_195
| ~ spl0_344 ),
inference(constrained_superposition,[],[f7451,f16387]) ).
thf(f17908,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_195
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f17905]) ).
thf(f17922,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f6752,f36]) ).
thf(f17926,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f17922]) ).
thf(f17934,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f10377,f80]) ).
thf(f17939,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f17934]) ).
thf(f17946,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_195
| ~ spl0_271
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f17939,f17908]) ).
thf(f17947,plain,
( ~ spl0_13
| ~ spl0_195
| ~ spl0_271
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f17946,f16386,f10376,f7450,f177]) ).
thf(f17950,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_282
| ~ spl0_339 ),
inference(constrained_superposition,[],[f10563,f15529]) ).
thf(f17951,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_282
| ~ spl0_315 ),
inference(constrained_superposition,[],[f10563,f13311]) ).
thf(f17955,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_282
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f17950]) ).
thf(f17959,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_282
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f17951]) ).
thf(f17960,plain,
( $false
| ~ spl0_26
| ~ spl0_282
| ~ spl0_339 ),
inference(forward_subsumption_resolution,[],[f17955,f494]) ).
thf(f17961,plain,
( ~ spl0_26
| ~ spl0_282
| ~ spl0_339 ),
inference(avatar_contradiction_clause,[],[f17960]) ).
thf(f17962,plain,
( $false
| ~ spl0_5
| ~ spl0_282
| ~ spl0_315 ),
inference(forward_subsumption_resolution,[],[f17959,f111]) ).
thf(f17963,plain,
( ~ spl0_5
| ~ spl0_282
| ~ spl0_315 ),
inference(avatar_contradiction_clause,[],[f17962]) ).
thf(f17988,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_312 ),
inference(constrained_superposition,[],[f13295,f427]) ).
thf(f17999,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f17988]) ).
thf(f18001,plain,
( ~ spl0_41
| spl0_273
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f17999,f13294,f10382,f638]) ).
thf(f18004,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_284
| ~ spl0_320 ),
inference(constrained_superposition,[],[f10580,f13341]) ).
thf(f18009,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_284
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f18004]) ).
thf(f18016,plain,
( $false
| ~ spl0_146
| ~ spl0_284
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f18009,f6611]) ).
thf(f18017,plain,
( ~ spl0_146
| ~ spl0_284
| ~ spl0_320 ),
inference(avatar_contradiction_clause,[],[f18016]) ).
thf(f18030,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_205
| ~ spl0_316 ),
inference(constrained_superposition,[],[f7647,f13327]) ).
thf(f18050,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_205
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f18030]) ).
thf(f18055,definition,
( spl0_367
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_367])],[avatar_definition]) ).
thf(f18056,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_367 ),
inference(avatar_component_clause,[],[f18055]) ).
thf(f18058,definition,
( spl0_368
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_368])],[avatar_definition]) ).
thf(f18059,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f18058]) ).
thf(f18062,definition,
( spl0_369
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_369])],[avatar_definition]) ).
thf(f18063,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_369 ),
inference(avatar_component_clause,[],[f18062]) ).
thf(f18080,definition,
( spl0_374
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_374])],[avatar_definition]) ).
thf(f18081,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| spl0_374 ),
inference(avatar_component_clause,[],[f18080]) ).
thf(f18087,definition,
( spl0_376
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_376])],[avatar_definition]) ).
thf(f18088,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_376 ),
inference(avatar_component_clause,[],[f18087]) ).
thf(f18091,definition,
( spl0_377
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_377])],[avatar_definition]) ).
thf(f18092,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f18091]) ).
thf(f18103,definition,
( spl0_380
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_380])],[avatar_definition]) ).
thf(f18104,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| spl0_380 ),
inference(avatar_component_clause,[],[f18103]) ).
thf(f18107,definition,
( spl0_381
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_381])],[avatar_definition]) ).
thf(f18108,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f18107]) ).
thf(f18114,definition,
( spl0_383
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_383])],[avatar_definition]) ).
thf(f18115,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_383 ),
inference(avatar_component_clause,[],[f18114]) ).
thf(f18117,definition,
( spl0_384
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_384])],[avatar_definition]) ).
thf(f18118,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_384 ),
inference(avatar_component_clause,[],[f18117]) ).
thf(f18119,plain,
( spl0_352
| ~ spl0_383
| ~ spl0_384
| ~ spl0_205
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f18050,f13326,f7646,f18117,f18114,f16883]) ).
thf(f18121,definition,
( spl0_385
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_385])],[avatar_definition]) ).
thf(f18122,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f18121]) ).
thf(f18128,definition,
( spl0_387
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_387])],[avatar_definition]) ).
thf(f18129,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_387 ),
inference(avatar_component_clause,[],[f18128]) ).
thf(f18132,definition,
( spl0_388
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_388])],[avatar_definition]) ).
thf(f18133,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_388 ),
inference(avatar_component_clause,[],[f18132]) ).
thf(f18135,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_374 ),
inference(constrained_superposition,[],[f18081,f36]) ).
thf(f18137,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| spl0_374 ),
inference(trivial_inequality_removal,[],[f18135]) ).
thf(f18139,plain,
( spl0_385
| spl0_374 ),
inference(avatar_split_clause,[],[f18137,f18080,f18121]) ).
thf(f18152,definition,
( spl0_389
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_389])],[avatar_definition]) ).
thf(f18153,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_389 ),
inference(avatar_component_clause,[],[f18152]) ).
thf(f18160,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_380 ),
inference(constrained_superposition,[],[f18104,f80]) ).
thf(f18162,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| spl0_380 ),
inference(constrained_superposition,[],[f18104,f29]) ).
thf(f18163,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_380 ),
inference(trivial_inequality_removal,[],[f18160]) ).
thf(f18164,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| spl0_380 ),
inference(trivial_inequality_removal,[],[f18162]) ).
thf(f18166,plain,
( spl0_376
| spl0_380 ),
inference(avatar_split_clause,[],[f18163,f18103,f18087]) ).
thf(f18168,definition,
( spl0_390
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_390])],[avatar_definition]) ).
thf(f18169,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_390 ),
inference(avatar_component_clause,[],[f18168]) ).
thf(f18170,plain,
( spl0_376
| spl0_390
| spl0_380 ),
inference(avatar_split_clause,[],[f18164,f18103,f18168,f18087]) ).
thf(f18172,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_384 ),
inference(constrained_superposition,[],[f18118,f81]) ).
thf(f18177,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_384 ),
inference(trivial_inequality_removal,[],[f18172]) ).
thf(f18180,plain,
( spl0_377
| spl0_384 ),
inference(avatar_split_clause,[],[f18177,f18117,f18091]) ).
thf(f18181,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_367 ),
inference(constrained_superposition,[],[f18056,f427]) ).
thf(f18187,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_367 ),
inference(trivial_inequality_removal,[],[f18181]) ).
thf(f18194,plain,
( spl0_369
| spl0_367 ),
inference(avatar_split_clause,[],[f18187,f18055,f18062]) ).
thf(f18203,definition,
( spl0_392
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_392])],[avatar_definition]) ).
thf(f18204,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_392 ),
inference(avatar_component_clause,[],[f18203]) ).
thf(f18222,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_319 ),
inference(constrained_superposition,[],[f621,f13337]) ).
thf(f18239,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f18222]) ).
thf(f18276,plain,
( ~ spl0_208
| spl0_369
| spl0_209
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f18239,f13336,f7870,f18062,f7867]) ).
thf(f18281,definition,
( spl0_398
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_398])],[avatar_definition]) ).
thf(f18282,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ~ spl0_398 ),
inference(avatar_component_clause,[],[f18281]) ).
thf(f18288,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_330
| ~ spl0_334 ),
inference(constrained_superposition,[],[f14431,f13385]) ).
thf(f18297,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_330
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f18288]) ).
thf(f18299,plain,
( $false
| ~ spl0_330
| ~ spl0_334
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f18297,f16387]) ).
thf(f18300,plain,
( ~ spl0_330
| ~ spl0_334
| ~ spl0_344 ),
inference(avatar_contradiction_clause,[],[f18299]) ).
thf(f18343,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_314 ),
inference(constrained_superposition,[],[f13306,f427]) ).
thf(f18345,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_314 ),
inference(constrained_superposition,[],[f13306,f38]) ).
thf(f18348,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_314 ),
inference(trivial_inequality_removal,[],[f18343]) ).
thf(f18349,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_314 ),
inference(trivial_inequality_removal,[],[f18345]) ).
thf(f18352,plain,
( spl0_273
| spl0_314 ),
inference(avatar_split_clause,[],[f18348,f13305,f10382]) ).
thf(f18353,plain,
( spl0_264
| spl0_273
| spl0_314 ),
inference(avatar_split_clause,[],[f18349,f13305,f10382,f10037]) ).
thf(f18387,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_205
| ~ spl0_331 ),
inference(constrained_superposition,[],[f7647,f13388]) ).
thf(f18388,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_331 ),
inference(constrained_superposition,[],[f168,f13388]) ).
thf(f18396,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f18388]) ).
thf(f18406,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_205
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f18387]) ).
thf(f18412,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_195
| ~ spl0_331
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f18396,f17589]) ).
thf(f18418,plain,
( spl0_312
| ~ spl0_313
| ~ spl0_195
| ~ spl0_331
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f18412,f16417,f13387,f7450,f13297,f13294]) ).
thf(f18419,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_191 ),
inference(constrained_superposition,[],[f7406,f37]) ).
thf(f18422,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_191 ),
inference(trivial_inequality_removal,[],[f18419]) ).
thf(f18509,definition,
( spl0_405
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_405])],[avatar_definition]) ).
thf(f18510,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_405 ),
inference(avatar_component_clause,[],[f18509]) ).
thf(f18529,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_383 ),
inference(constrained_superposition,[],[f18115,f78]) ).
thf(f18534,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_383 ),
inference(trivial_inequality_removal,[],[f18529]) ).
thf(f18536,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_388 ),
inference(constrained_superposition,[],[f18133,f3254]) ).
thf(f18547,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_388 ),
inference(trivial_inequality_removal,[],[f18536]) ).
thf(f18550,plain,
( ~ spl0_141
| spl0_381
| ~ spl0_388 ),
inference(avatar_split_clause,[],[f18547,f18132,f18107,f6592]) ).
thf(f18551,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_195
| ~ spl0_381 ),
inference(constrained_superposition,[],[f7451,f18108]) ).
thf(f18554,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_195
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f18551]) ).
thf(f18559,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_312
| ~ spl0_331 ),
inference(constrained_superposition,[],[f13295,f13388]) ).
thf(f18564,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_312 ),
inference(constrained_superposition,[],[f13295,f36]) ).
thf(f18570,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f18564]) ).
thf(f18573,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_312
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f18559]) ).
thf(f18575,plain,
( ~ spl0_275
| ~ spl0_312
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f18573,f13387,f13294,f10393]) ).
thf(f18576,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_275 ),
inference(constrained_superposition,[],[f10394,f81]) ).
thf(f18579,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f18576]) ).
thf(f18582,plain,
( spl0_307
| spl0_275 ),
inference(avatar_split_clause,[],[f18579,f10393,f13249]) ).
thf(f18586,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_147
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f17926,f7959]) ).
thf(f18590,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_183
| spl0_222 ),
inference(forward_subsumption_resolution,[],[f11398,f8583]) ).
thf(f18591,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_235
| ~ spl0_312 ),
inference(forward_subsumption_resolution,[],[f18570,f9220]) ).
thf(f18598,plain,
( spl0_333
| spl0_191 ),
inference(avatar_split_clause,[],[f18422,f7405,f13462]) ).
thf(f18599,plain,
( spl0_352
| ~ spl0_276
| ~ spl0_277
| ~ spl0_205
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f18406,f13387,f7646,f10413,f10410,f16883]) ).
thf(f18603,plain,
( ~ spl0_35
| spl0_147
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f18586,f6751,f6614,f525]) ).
thf(f18606,plain,
( ~ spl0_9
| spl0_193
| ~ spl0_183
| spl0_222 ),
inference(avatar_split_clause,[],[f18590,f8311,f7181,f7439,f123]) ).
thf(f18607,plain,
( ~ spl0_9
| spl0_235
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f18591,f13294,f9219,f123]) ).
thf(f18621,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_44
| spl0_383 ),
inference(forward_subsumption_resolution,[],[f18534,f676]) ).
thf(f18626,plain,
( $false
| ~ spl0_44
| spl0_383 ),
inference(forward_subsumption_resolution,[],[f18621,f28]) ).
thf(f18627,plain,
( ~ spl0_44
| spl0_383 ),
inference(avatar_contradiction_clause,[],[f18626]) ).
thf(f18628,plain,
( $false
| ~ spl0_44
| ~ spl0_352 ),
inference(forward_subsumption_resolution,[],[f16884,f676]) ).
thf(f18629,plain,
( ~ spl0_44
| ~ spl0_352 ),
inference(avatar_contradiction_clause,[],[f18628]) ).
thf(f18634,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_190 ),
inference(constrained_superposition,[],[f7401,f36]) ).
thf(f18636,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| spl0_190 ),
inference(trivial_inequality_removal,[],[f18634]) ).
thf(f18638,plain,
( spl0_230
| spl0_190 ),
inference(avatar_split_clause,[],[f18636,f7400,f9190]) ).
thf(f18640,plain,
( ( $true != $true )
| ~ spl0_261
| ~ spl0_326 ),
inference(constrained_superposition,[],[f10016,f13371]) ).
thf(f18643,plain,
( $false
| ~ spl0_261
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f18640]) ).
thf(f18644,plain,
( ~ spl0_261
| ~ spl0_326 ),
inference(avatar_contradiction_clause,[],[f18643]) ).
thf(f18648,plain,
( $false
| ~ spl0_230
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f13448,f10016]) ).
thf(f18649,plain,
( ~ spl0_230
| ~ spl0_261 ),
inference(avatar_contradiction_clause,[],[f18648]) ).
thf(f18676,plain,
( $false
| ~ spl0_44
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f6568,f676]) ).
thf(f18677,plain,
( ~ spl0_44
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f18676]) ).
thf(f18679,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f12545,f28]) ).
thf(f18681,plain,
( spl0_7
| ~ spl0_9
| spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f8456,f66,f120,f123,f117]) ).
thf(f18682,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f18679,f28]) ).
thf(f18684,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_2
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f18682,f1036]) ).
thf(f18685,plain,
( spl0_197
| spl0_7
| ~ spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f18684,f110,f66,f117,f7600]) ).
thf(f18716,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_77
| ~ spl0_174 ),
inference(constrained_superposition,[],[f1321,f11124]) ).
thf(f18749,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_77
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f18716]) ).
thf(f18752,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_277 ),
inference(constrained_superposition,[],[f10414,f81]) ).
thf(f18754,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_277 ),
inference(constrained_superposition,[],[f10414,f29]) ).
thf(f18755,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_277 ),
inference(trivial_inequality_removal,[],[f18752]) ).
thf(f18757,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_277 ),
inference(trivial_inequality_removal,[],[f18754]) ).
thf(f18758,plain,
( spl0_315
| spl0_277 ),
inference(avatar_split_clause,[],[f18755,f10413,f13310]) ).
thf(f18760,plain,
( spl0_287
| spl0_315
| spl0_277 ),
inference(avatar_split_clause,[],[f18757,f10413,f13310,f10640]) ).
thf(f18777,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_39
| ~ spl0_137 ),
inference(constrained_superposition,[],[f547,f6579]) ).
thf(f18784,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_39
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f18777]) ).
thf(f18787,plain,
( $false
| ~ spl0_39
| ~ spl0_137
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f18784,f6611]) ).
thf(f18788,plain,
( ~ spl0_39
| ~ spl0_137
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f18787]) ).
thf(f18835,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_262
| ~ spl0_352 ),
inference(constrained_superposition,[],[f10019,f16884]) ).
thf(f18837,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_262
| ~ spl0_352 ),
inference(trivial_inequality_removal,[],[f18835]) ).
thf(f18839,plain,
( $false
| ~ spl0_26
| ~ spl0_262
| ~ spl0_352 ),
inference(forward_subsumption_resolution,[],[f18837,f494]) ).
thf(f18840,plain,
( ~ spl0_26
| ~ spl0_262
| ~ spl0_352 ),
inference(avatar_contradiction_clause,[],[f18839]) ).
thf(f18851,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_213
| ~ spl0_229 ),
inference(constrained_superposition,[],[f8128,f9188]) ).
thf(f18869,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_213
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f18851]) ).
thf(f18887,plain,
( ~ spl0_189
| ~ spl0_208
| ~ spl0_213
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f18869,f9187,f8127,f7867,f7397]) ).
thf(f18906,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_152
| ~ spl0_344 ),
inference(constrained_superposition,[],[f6654,f16387]) ).
thf(f18907,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_152
| ~ spl0_381 ),
inference(constrained_superposition,[],[f6654,f18108]) ).
thf(f18908,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_152
| ~ spl0_179 ),
inference(constrained_superposition,[],[f6654,f7167]) ).
thf(f18910,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_152
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f18906]) ).
thf(f18911,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_152
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f18907]) ).
thf(f18913,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_152
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f18908]) ).
thf(f18915,plain,
( $false
| ~ spl0_152
| ~ spl0_273
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f18910,f10383]) ).
thf(f18916,plain,
( ~ spl0_152
| ~ spl0_273
| ~ spl0_344 ),
inference(avatar_contradiction_clause,[],[f18915]) ).
thf(f18917,plain,
( $false
| ~ spl0_152
| ~ spl0_369
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f18911,f18063]) ).
thf(f18918,plain,
( ~ spl0_152
| ~ spl0_369
| ~ spl0_381 ),
inference(avatar_contradiction_clause,[],[f18917]) ).
thf(f18920,plain,
( $false
| ~ spl0_45
| ~ spl0_152
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f18913,f687]) ).
thf(f18921,plain,
( ~ spl0_45
| ~ spl0_152
| ~ spl0_179 ),
inference(avatar_contradiction_clause,[],[f18920]) ).
thf(f18927,definition,
( spl0_413
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_413])],[avatar_definition]) ).
thf(f18928,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_413 ),
inference(avatar_component_clause,[],[f18927]) ).
thf(f18929,plain,
( ~ spl0_9
| spl0_179
| spl0_413
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f6956,f6809,f18927,f7159,f123]) ).
thf(f18944,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_2
| ~ spl0_177 ),
inference(constrained_superposition,[],[f12526,f11214]) ).
thf(f18954,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_2
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f18944]) ).
thf(f18963,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_2
| ~ spl0_177
| spl0_222 ),
inference(forward_subsumption_resolution,[],[f18954,f8583]) ).
thf(f18966,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_5
| ~ spl0_177
| spl0_222 ),
inference(forward_subsumption_resolution,[],[f18963,f1036]) ).
thf(f18968,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_2
| spl0_5
| spl0_147
| ~ spl0_177
| spl0_222 ),
inference(forward_subsumption_resolution,[],[f18966,f7959]) ).
thf(f18969,plain,
( ( z
= ( s @ z ) )
| ~ spl0_2
| spl0_5
| spl0_147
| ~ spl0_177
| spl0_222 ),
inference(forward_subsumption_resolution,[],[f18968,f28]) ).
thf(f18970,plain,
( $false
| ~ spl0_2
| spl0_5
| spl0_147
| ~ spl0_177
| spl0_222 ),
inference(forward_subsumption_resolution,[],[f18969,f28]) ).
thf(f18971,plain,
( ~ spl0_2
| spl0_5
| spl0_147
| ~ spl0_177
| spl0_222 ),
inference(avatar_contradiction_clause,[],[f18970]) ).
thf(f18984,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_156
| ~ spl0_329 ),
inference(constrained_superposition,[],[f6752,f13381]) ).
thf(f18995,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_156
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f18984]) ).
thf(f18998,plain,
( ~ spl0_274
| ~ spl0_156
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f18995,f13380,f6751,f10390]) ).
thf(f18999,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_274 ),
inference(constrained_superposition,[],[f10391,f428]) ).
thf(f19006,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_274 ),
inference(trivial_inequality_removal,[],[f18999]) ).
thf(f19010,plain,
( spl0_352
| spl0_274 ),
inference(avatar_split_clause,[],[f19006,f10390,f16883]) ).
thf(f19013,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_38
| ~ spl0_188 ),
inference(constrained_superposition,[],[f543,f7395]) ).
thf(f19015,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_38
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f19013]) ).
thf(f19018,plain,
( $false
| ~ spl0_38
| ~ spl0_188
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f19015,f13448]) ).
thf(f19019,plain,
( ~ spl0_38
| ~ spl0_188
| ~ spl0_230 ),
inference(avatar_contradiction_clause,[],[f19018]) ).
thf(f19031,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f7902,f36]) ).
thf(f19038,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f19031]) ).
thf(f19042,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_210
| ~ spl0_327 ),
inference(constrained_superposition,[],[f7902,f13374]) ).
thf(f19073,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_210
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f19042]) ).
thf(f19083,plain,
( ~ spl0_277
| ~ spl0_210
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f19073,f13373,f7901,f10413]) ).
thf(f19084,plain,
( ( $true != $true )
| ~ spl0_283
| ~ spl0_344 ),
inference(constrained_superposition,[],[f10566,f16387]) ).
thf(f19087,plain,
( $false
| ~ spl0_283
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f19084]) ).
thf(f19088,plain,
( ~ spl0_283
| ~ spl0_344 ),
inference(avatar_contradiction_clause,[],[f19087]) ).
thf(f19132,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_10
| ~ spl0_207 ),
inference(constrained_superposition,[],[f130,f7847]) ).
thf(f19135,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_10
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f19132]) ).
thf(f19137,plain,
( $false
| ~ spl0_10
| ~ spl0_207
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f19135,f13448]) ).
thf(f19138,plain,
( ~ spl0_10
| ~ spl0_207
| ~ spl0_230 ),
inference(avatar_contradiction_clause,[],[f19137]) ).
thf(f19151,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_235
| ~ spl0_260 ),
inference(constrained_superposition,[],[f9982,f15531]) ).
thf(f19154,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_235
| ~ spl0_260 ),
inference(trivial_inequality_removal,[],[f19151]) ).
thf(f19156,plain,
( spl0_338
| ~ spl0_235
| ~ spl0_260 ),
inference(avatar_split_clause,[],[f19154,f9981,f9219,f15520]) ).
thf(f19166,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_38
| ~ spl0_273 ),
inference(constrained_superposition,[],[f543,f10383]) ).
thf(f19170,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_38
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f19166]) ).
thf(f19172,plain,
( $false
| ~ spl0_38
| ~ spl0_235
| ~ spl0_273 ),
inference(forward_subsumption_resolution,[],[f19170,f15531]) ).
thf(f19173,plain,
( ~ spl0_38
| ~ spl0_235
| ~ spl0_273 ),
inference(avatar_contradiction_clause,[],[f19172]) ).
thf(f19175,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_306
| ~ spl0_328 ),
inference(constrained_superposition,[],[f13238,f13378]) ).
thf(f19179,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_306
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f19175]) ).
thf(f19187,plain,
( ~ spl0_166
| spl0_213
| ~ spl0_77
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f18749,f7041,f1320,f8127,f6787]) ).
thf(f19188,plain,
( ~ spl0_146
| ~ spl0_306
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f19179,f13377,f13237,f6610]) ).
thf(f19190,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_31
| ~ spl0_166 ),
inference(constrained_superposition,[],[f511,f7960]) ).
thf(f19202,plain,
( ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_166 ),
inference(constrained_superposition,[],[f12526,f7960]) ).
thf(f19216,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f19202]) ).
thf(f19218,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_31
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f19190]) ).
thf(f19227,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| spl0_5
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f19216,f1036]) ).
thf(f19229,plain,
( spl0_169
| spl0_137
| ~ spl0_31
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f19218,f6787,f510,f6578,f6799]) ).
thf(f19231,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ z ) )
| ~ spl0_2
| spl0_5
| spl0_7
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f19227,f2142]) ).
thf(f19233,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_5
| spl0_7
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f19231,f28]) ).
thf(f19234,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_5
| spl0_7
| spl0_147
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f19233,f7959]) ).
thf(f19235,plain,
( $false
| ~ spl0_2
| spl0_5
| spl0_7
| spl0_147
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f19234,f28]) ).
thf(f19236,plain,
( ~ spl0_2
| spl0_5
| spl0_7
| spl0_147
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f19235]) ).
thf(f19238,plain,
( spl0_230
| ~ spl0_9
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f19038,f7901,f123,f9190]) ).
thf(f19270,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_189 ),
inference(constrained_superposition,[],[f7398,f38]) ).
thf(f19274,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_189 ),
inference(trivial_inequality_removal,[],[f19270]) ).
thf(f19278,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_189
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f19274,f10016]) ).
thf(f19280,plain,
( $false
| spl0_189
| ~ spl0_261 ),
inference(forward_subsumption_resolution,[],[f19278,f28]) ).
thf(f19281,plain,
( spl0_189
| ~ spl0_261 ),
inference(avatar_contradiction_clause,[],[f19280]) ).
thf(f19291,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_39
| ~ spl0_188 ),
inference(constrained_superposition,[],[f547,f7395]) ).
thf(f19294,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_39
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f19291]) ).
thf(f19297,plain,
( $false
| ~ spl0_39
| ~ spl0_188
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[],[f19294,f7847]) ).
thf(f19298,plain,
( ~ spl0_39
| ~ spl0_188
| ~ spl0_207 ),
inference(avatar_contradiction_clause,[],[f19297]) ).
thf(f19386,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_350 ),
inference(constrained_superposition,[],[f7451,f16418]) ).
thf(f19388,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_195
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f19386]) ).
thf(f19393,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f7447,f80]) ).
thf(f19399,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f19393]) ).
thf(f19405,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_39
| ~ spl0_188
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f19399,f19294]) ).
thf(f19406,plain,
( ~ spl0_13
| ~ spl0_39
| ~ spl0_188
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f19405,f7446,f7394,f546,f177]) ).
thf(f19411,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f6800,f36]) ).
thf(f19418,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_169 ),
inference(trivial_inequality_removal,[],[f19411]) ).
thf(f19421,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_147
| ~ spl0_169 ),
inference(forward_subsumption_resolution,[],[f19418,f7959]) ).
thf(f19422,plain,
( ~ spl0_9
| spl0_147
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f19421,f6799,f6614,f123]) ).
thf(f19452,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_282
| ~ spl0_326 ),
inference(constrained_superposition,[],[f10563,f13371]) ).
thf(f19454,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_282
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f19452]) ).
thf(f19474,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_307
| ~ spl0_335 ),
inference(constrained_superposition,[],[f15384,f13250]) ).
thf(f19476,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_333
| ~ spl0_335 ),
inference(constrained_superposition,[],[f15384,f13463]) ).
thf(f19479,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_333
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f19476]) ).
thf(f19481,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_307
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f19474]) ).
thf(f19484,plain,
( $false
| ~ spl0_36
| ~ spl0_333
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f19479,f529]) ).
thf(f19485,plain,
( ~ spl0_36
| ~ spl0_333
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f19484]) ).
thf(f19486,plain,
( $false
| ~ spl0_45
| ~ spl0_307
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f19481,f687]) ).
thf(f19487,plain,
( ~ spl0_45
| ~ spl0_307
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f19486]) ).
thf(f19515,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f48,f9214]) ).
thf(f19516,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_233 ),
inference(constrained_superposition,[],[f12526,f9214]) ).
thf(f19523,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f19516]) ).
thf(f19525,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f19515]) ).
thf(f19550,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_262
| ~ spl0_330 ),
inference(constrained_superposition,[],[f10019,f13385]) ).
thf(f19552,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_262
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f19550]) ).
thf(f19554,plain,
( $false
| ~ spl0_235
| ~ spl0_262
| ~ spl0_330 ),
inference(forward_subsumption_resolution,[],[f19552,f15531]) ).
thf(f19555,plain,
( ~ spl0_235
| ~ spl0_262
| ~ spl0_330 ),
inference(avatar_contradiction_clause,[],[f19554]) ).
thf(f19591,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_316 ),
inference(constrained_superposition,[],[f168,f13327]) ).
thf(f19593,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_316 ),
inference(constrained_superposition,[],[f48,f13327]) ).
thf(f19594,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_316 ),
inference(constrained_superposition,[],[f12526,f13327]) ).
thf(f19599,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f19593]) ).
thf(f19605,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f19591]) ).
thf(f19606,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f19594]) ).
thf(f19616,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_195
| ~ spl0_316
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f19605,f19388]) ).
thf(f19619,plain,
( ~ spl0_380
| spl0_387
| ~ spl0_195
| ~ spl0_316
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f19616,f16417,f13326,f7450,f18128,f18103]) ).
thf(f19620,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_318
| ~ spl0_389 ),
inference(constrained_superposition,[],[f18153,f13334]) ).
thf(f19623,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_318
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f19620]) ).
thf(f19626,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_279 ),
inference(constrained_superposition,[],[f10459,f3254]) ).
thf(f19628,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_279 ),
inference(constrained_superposition,[],[f10459,f80]) ).
thf(f19636,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f19626]) ).
thf(f19639,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f19628]) ).
thf(f19641,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_174
| ~ spl0_279 ),
inference(forward_subsumption_resolution,[],[f19636,f11124]) ).
thf(f19644,plain,
( ~ spl0_104
| spl0_285
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f19639,f10458,f10634,f3024]) ).
thf(f19645,plain,
( $false
| ~ spl0_174
| ~ spl0_279
| spl0_344 ),
inference(forward_subsumption_resolution,[],[f19641,f16885]) ).
thf(f19646,plain,
( ~ spl0_174
| ~ spl0_279
| spl0_344 ),
inference(avatar_contradiction_clause,[],[f19645]) ).
thf(f19649,plain,
( ( $true != $true )
| ~ spl0_12
| ~ spl0_179 ),
inference(constrained_superposition,[],[f145,f7167]) ).
thf(f19652,plain,
( $false
| ~ spl0_12
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f19649]) ).
thf(f19653,plain,
( ~ spl0_12
| ~ spl0_179 ),
inference(avatar_contradiction_clause,[],[f19652]) ).
thf(f19655,plain,
( ~ spl0_230
| ~ spl0_318
| ~ spl0_389 ),
inference(avatar_split_clause,[],[f19623,f18152,f13333,f9190]) ).
thf(f19657,plain,
( ~ spl0_230
| ~ spl0_282
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f19454,f13370,f10562,f9190]) ).
thf(f19669,plain,
( $false
| ~ spl0_195
| ~ spl0_376
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f18088,f18554]) ).
thf(f19670,plain,
( ~ spl0_195
| ~ spl0_376
| ~ spl0_381 ),
inference(avatar_contradiction_clause,[],[f19669]) ).
thf(f19671,plain,
( spl0_230
| spl0_388
| ~ spl0_374
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f19599,f13326,f18080,f18132,f9190]) ).
thf(f19674,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_316 ),
inference(forward_subsumption_resolution,[],[f19606,f28]) ).
thf(f19675,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_316 ),
inference(forward_subsumption_resolution,[],[f19674,f28]) ).
thf(f19676,plain,
( spl0_230
| spl0_333
| spl0_385
| ~ spl0_2
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f19675,f13326,f66,f18121,f13462,f9190]) ).
thf(f19777,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f217,f36]) ).
thf(f19779,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f19777]) ).
thf(f19850,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_156
| ~ spl0_321 ),
inference(constrained_superposition,[],[f6752,f13344]) ).
thf(f19857,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_156
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f19850]) ).
thf(f19864,plain,
( ~ spl0_276
| ~ spl0_156
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f19857,f13343,f6751,f10410]) ).
thf(f19870,plain,
( $false
| ~ spl0_11
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f13463,f133]) ).
thf(f19871,plain,
( ~ spl0_11
| ~ spl0_333 ),
inference(avatar_contradiction_clause,[],[f19870]) ).
thf(f19879,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_5
| ~ spl0_47 ),
inference(constrained_superposition,[],[f1036,f753]) ).
thf(f19885,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| spl0_5
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f19879]) ).
thf(f19889,plain,
( ( z
= ( s @ z ) )
| spl0_5
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f19885,f28]) ).
thf(f19890,plain,
( $false
| spl0_5
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f19889,f28]) ).
thf(f19891,plain,
( spl0_5
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f19890]) ).
thf(f19935,definition,
( spl0_424
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_424])],[avatar_definition]) ).
thf(f19936,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_424 ),
inference(avatar_component_clause,[],[f19935]) ).
thf(f19957,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_159
| ~ spl0_321 ),
inference(constrained_superposition,[],[f6763,f13344]) ).
thf(f19970,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_159
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f19957]) ).
thf(f19971,plain,
( ~ spl0_244
| ~ spl0_159
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f19970,f13343,f6762,f9751]) ).
thf(f19976,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_159
| ~ spl0_329 ),
inference(constrained_superposition,[],[f6763,f13381]) ).
thf(f19994,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_159
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f19976]) ).
thf(f20007,plain,
( ~ spl0_191
| ~ spl0_159
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f19994,f13380,f6762,f7405]) ).
thf(f20026,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_350 ),
inference(constrained_superposition,[],[f7451,f16418]) ).
thf(f20029,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_195
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f20026]) ).
thf(f20031,plain,
( $false
| ~ spl0_195
| ~ spl0_207
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f20029,f7847]) ).
thf(f20032,plain,
( ~ spl0_195
| ~ spl0_207
| ~ spl0_350 ),
inference(avatar_contradiction_clause,[],[f20031]) ).
thf(f20060,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_229 ),
inference(constrained_superposition,[],[f12526,f9188]) ).
thf(f20069,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f20060]) ).
thf(f20120,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_327 ),
inference(constrained_superposition,[],[f7024,f13374]) ).
thf(f20121,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_327 ),
inference(constrained_superposition,[],[f621,f13374]) ).
thf(f20131,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f20121]) ).
thf(f20137,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f20120]) ).
thf(f20144,plain,
( ~ spl0_208
| spl0_273
| spl0_209
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f20131,f13373,f7870,f10382,f7867]) ).
thf(f20145,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_229
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f20137,f9188]) ).
thf(f20147,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_229
| ~ spl0_327
| spl0_344 ),
inference(forward_subsumption_resolution,[],[f20145,f16885]) ).
thf(f20148,plain,
( spl0_347
| ~ spl0_229
| ~ spl0_327
| spl0_344 ),
inference(avatar_split_clause,[],[f20147,f16386,f13373,f9187,f16403]) ).
thf(f20161,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_331 ),
inference(constrained_superposition,[],[f48,f13388]) ).
thf(f20177,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f20161]) ).
thf(f20184,definition,
( spl0_425
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_425])],[avatar_definition]) ).
thf(f20185,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_425 ),
inference(avatar_component_clause,[],[f20184]) ).
thf(f20204,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_209
| ~ spl0_327 ),
inference(constrained_superposition,[],[f7871,f13374]) ).
thf(f20206,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f7871,f80]) ).
thf(f20208,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f7871,f36]) ).
thf(f20213,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f20208]) ).
thf(f20215,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f20206]) ).
thf(f20218,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_209
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f20204]) ).
thf(f20220,plain,
( ~ spl0_276
| ~ spl0_209
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f20218,f13373,f7870,f10410]) ).
thf(f20312,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_279
| ~ spl0_331 ),
inference(constrained_superposition,[],[f10459,f13388]) ).
thf(f20316,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_279 ),
inference(constrained_superposition,[],[f10459,f36]) ).
thf(f20319,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f20316]) ).
thf(f20320,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_279
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f20312]) ).
thf(f20328,plain,
( ~ spl0_274
| ~ spl0_279
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f20320,f13387,f10458,f10390]) ).
thf(f20339,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_118
| ~ spl0_334 ),
inference(constrained_superposition,[],[f14431,f4199]) ).
thf(f20344,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_118
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f20339]) ).
thf(f20351,plain,
( $false
| ~ spl0_118
| ~ spl0_179
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f20344,f7167]) ).
thf(f20352,plain,
( ~ spl0_118
| ~ spl0_179
| ~ spl0_334 ),
inference(avatar_contradiction_clause,[],[f20351]) ).
thf(f20374,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_307
| ~ spl0_334 ),
inference(constrained_superposition,[],[f14431,f13250]) ).
thf(f20379,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_307
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f20374]) ).
thf(f20384,plain,
( $false
| ~ spl0_179
| ~ spl0_307
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f20379,f7167]) ).
thf(f20385,plain,
( ~ spl0_179
| ~ spl0_307
| ~ spl0_334 ),
inference(avatar_contradiction_clause,[],[f20384]) ).
thf(f20414,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_327
| ~ spl0_347 ),
inference(constrained_superposition,[],[f16404,f13374]) ).
thf(f20416,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f16404,f427]) ).
thf(f20419,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f16404,f36]) ).
thf(f20424,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_327
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f20414]) ).
thf(f20426,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f20416]) ).
thf(f20431,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f20419]) ).
thf(f20432,plain,
( $false
| ~ spl0_321
| ~ spl0_327
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f20424,f13344]) ).
thf(f20433,plain,
( ~ spl0_321
| ~ spl0_327
| ~ spl0_347 ),
inference(avatar_contradiction_clause,[],[f20432]) ).
thf(f20438,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f20069,f28]) ).
thf(f20439,plain,
( spl0_230
| ~ spl0_35
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f20213,f7870,f525,f9190]) ).
thf(f20441,plain,
( ~ spl0_104
| spl0_207
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f20215,f7870,f7846,f3024]) ).
thf(f20447,plain,
( ~ spl0_149
| spl0_188
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f20426,f16403,f7394,f6621]) ).
thf(f20453,plain,
( ~ spl0_160
| spl0_230
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f20431,f16403,f9190,f6765]) ).
thf(f20460,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f20438,f28]) ).
thf(f20462,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ~ spl0_2
| spl0_147
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f20460,f7959]) ).
thf(f20463,plain,
( spl0_222
| spl0_230
| ~ spl0_2
| spl0_147
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f20462,f9187,f6614,f66,f9190,f8311]) ).
thf(f20469,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| spl0_147
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f19523,f7959]) ).
thf(f20470,plain,
( spl0_271
| spl0_230
| ~ spl0_272
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f20177,f13387,f10379,f9190,f10376]) ).
thf(f20471,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| spl0_147
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f19525,f7959]) ).
thf(f20472,plain,
( spl0_235
| ~ spl0_35
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f20319,f10458,f525,f9219]) ).
thf(f20474,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_147
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f20469,f28]) ).
thf(f20475,plain,
( spl0_271
| ~ spl0_272
| spl0_147
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f20471,f9213,f6614,f10379,f10376]) ).
thf(f20476,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_2
| spl0_147
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f20474,f28]) ).
thf(f20477,plain,
( spl0_222
| spl0_235
| ~ spl0_2
| spl0_147
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f20476,f9213,f6614,f66,f9219,f8311]) ).
thf(f20478,plain,
( ( $true != $true )
| ~ spl0_12
| ~ spl0_377 ),
inference(constrained_superposition,[],[f145,f18092]) ).
thf(f20479,plain,
( $false
| ~ spl0_12
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f20478]) ).
thf(f20480,plain,
( ~ spl0_12
| ~ spl0_377 ),
inference(avatar_contradiction_clause,[],[f20479]) ).
thf(f20590,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f7447,f427]) ).
thf(f20591,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f7447,f80]) ).
thf(f20597,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f20590]) ).
thf(f20603,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f20591]) ).
thf(f20604,plain,
( spl0_207
| ~ spl0_13
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f20603,f7446,f177,f7846]) ).
thf(f20646,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f10377,f427]) ).
thf(f20655,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f20646]) ).
thf(f20668,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_388 ),
inference(constrained_superposition,[],[f18133,f427]) ).
thf(f20676,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_388 ),
inference(trivial_inequality_removal,[],[f20668]) ).
thf(f20682,plain,
( spl0_369
| ~ spl0_40
| ~ spl0_388 ),
inference(avatar_split_clause,[],[f20676,f18132,f600,f18062]) ).
thf(f20683,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_38
| ~ spl0_369 ),
inference(constrained_superposition,[],[f543,f18063]) ).
thf(f20685,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_38
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f20683]) ).
thf(f20695,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_334
| ~ spl0_352 ),
inference(constrained_superposition,[],[f14431,f16884]) ).
thf(f20696,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_333
| ~ spl0_334 ),
inference(constrained_superposition,[],[f14431,f13463]) ).
thf(f20700,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_333
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f20696]) ).
thf(f20701,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_334
| ~ spl0_352 ),
inference(trivial_inequality_removal,[],[f20695]) ).
thf(f20705,plain,
( $false
| ~ spl0_222
| ~ spl0_333
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f20700,f8312]) ).
thf(f20706,plain,
( ~ spl0_222
| ~ spl0_333
| ~ spl0_334 ),
inference(avatar_contradiction_clause,[],[f20705]) ).
thf(f20707,plain,
( $false
| ~ spl0_134
| ~ spl0_334
| ~ spl0_352 ),
inference(forward_subsumption_resolution,[],[f20701,f6568]) ).
thf(f20708,plain,
( ~ spl0_134
| ~ spl0_334
| ~ spl0_352 ),
inference(avatar_contradiction_clause,[],[f20707]) ).
thf(f20713,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_387 ),
inference(constrained_superposition,[],[f18129,f3254]) ).
thf(f20714,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_316
| ~ spl0_387 ),
inference(constrained_superposition,[],[f18129,f13327]) ).
thf(f20718,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_387 ),
inference(constrained_superposition,[],[f18129,f36]) ).
thf(f20721,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_387 ),
inference(trivial_inequality_removal,[],[f20718]) ).
thf(f20725,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_316
| ~ spl0_387 ),
inference(trivial_inequality_removal,[],[f20714]) ).
thf(f20728,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_387 ),
inference(trivial_inequality_removal,[],[f20713]) ).
thf(f20729,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_38
| ~ spl0_369
| ~ spl0_387 ),
inference(forward_subsumption_resolution,[],[f20721,f20685]) ).
thf(f20730,plain,
( ~ spl0_275
| ~ spl0_316
| ~ spl0_387 ),
inference(avatar_split_clause,[],[f20725,f18128,f13326,f10393]) ).
thf(f20731,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_177
| ~ spl0_387 ),
inference(forward_subsumption_resolution,[],[f20728,f11214]) ).
thf(f20732,plain,
( ~ spl0_9
| ~ spl0_38
| ~ spl0_369
| ~ spl0_387 ),
inference(avatar_split_clause,[],[f20729,f18128,f18062,f542,f123]) ).
thf(f20733,plain,
( spl0_381
| ~ spl0_177
| ~ spl0_387 ),
inference(avatar_split_clause,[],[f20731,f18128,f7145,f18107]) ).
thf(f20735,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_326
| ~ spl0_342 ),
inference(constrained_superposition,[],[f15961,f13371]) ).
thf(f20741,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_326
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f20735]) ).
thf(f20744,plain,
( $false
| ~ spl0_188
| ~ spl0_326
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f20741,f7395]) ).
thf(f20745,plain,
( ~ spl0_188
| ~ spl0_326
| ~ spl0_342 ),
inference(avatar_contradiction_clause,[],[f20744]) ).
thf(f20748,plain,
( ~ spl0_40
| spl0_273
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f20655,f10376,f10382,f600]) ).
thf(f20791,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_284
| ~ spl0_326 ),
inference(constrained_superposition,[],[f10580,f13371]) ).
thf(f20797,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_284
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f20791]) ).
thf(f20800,plain,
( $false
| ~ spl0_207
| ~ spl0_284
| ~ spl0_326 ),
inference(forward_subsumption_resolution,[],[f20797,f7847]) ).
thf(f20801,plain,
( ~ spl0_207
| ~ spl0_284
| ~ spl0_326 ),
inference(avatar_contradiction_clause,[],[f20800]) ).
thf(f20802,plain,
( ~ spl0_40
| spl0_188
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f20597,f7446,f7394,f600]) ).
thf(f20830,plain,
( $false
| ~ spl0_12
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f13250,f145]) ).
thf(f20831,plain,
( ~ spl0_12
| ~ spl0_307 ),
inference(avatar_contradiction_clause,[],[f20830]) ).
thf(f20843,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_244 ),
inference(constrained_superposition,[],[f9752,f37]) ).
thf(f20846,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_244 ),
inference(trivial_inequality_removal,[],[f20843]) ).
thf(f20848,plain,
( spl0_338
| spl0_244 ),
inference(avatar_split_clause,[],[f20846,f9751,f15520]) ).
thf(f20877,plain,
( $false
| ~ spl0_12
| ~ spl0_315 ),
inference(forward_subsumption_resolution,[],[f13311,f145]) ).
thf(f20878,plain,
( ~ spl0_12
| ~ spl0_315 ),
inference(avatar_contradiction_clause,[],[f20877]) ).
thf(f20928,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f335,f11124]) ).
thf(f20937,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f20928]) ).
thf(f20963,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_39
| ~ spl0_369 ),
inference(constrained_superposition,[],[f547,f18063]) ).
thf(f20968,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_39
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f20963]) ).
thf(f20969,plain,
( $false
| ~ spl0_39
| ~ spl0_369
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f20968,f18088]) ).
thf(f20970,plain,
( ~ spl0_39
| ~ spl0_369
| ~ spl0_376 ),
inference(avatar_contradiction_clause,[],[f20969]) ).
thf(f20976,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_39
| ~ spl0_273 ),
inference(constrained_superposition,[],[f547,f10383]) ).
thf(f20980,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_39
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f20976]) ).
thf(f21002,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_377 ),
inference(constrained_superposition,[],[f33,f18092]) ).
thf(f21003,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f21002]) ).
thf(f21004,plain,
( spl0_398
| spl0_405
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f21003,f18091,f18509,f18281]) ).
thf(f21062,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_271 ),
inference(constrained_superposition,[],[f10377,f80]) ).
thf(f21073,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_271 ),
inference(trivial_inequality_removal,[],[f21062]) ).
thf(f21075,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_39
| ~ spl0_271
| ~ spl0_273 ),
inference(forward_subsumption_resolution,[],[f21073,f20980]) ).
thf(f21076,plain,
( ~ spl0_13
| ~ spl0_39
| ~ spl0_271
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f21075,f10382,f10376,f546,f177]) ).
thf(f21077,plain,
( ~ spl0_13
| spl0_285
| ~ spl0_271 ),
inference(avatar_split_clause,[],[f21073,f10376,f10634,f177]) ).
thf(f21078,plain,
( spl0_45
| spl0_183
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f20937,f7041,f7181,f686]) ).
thf(f21089,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_159 ),
inference(constrained_superposition,[],[f6763,f427]) ).
thf(f21100,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_159 ),
inference(trivial_inequality_removal,[],[f21089]) ).
thf(f21170,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_330
| ~ spl0_335 ),
inference(constrained_superposition,[],[f15384,f13385]) ).
thf(f21174,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_330
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f21170]) ).
thf(f21177,plain,
( $false
| ~ spl0_273
| ~ spl0_330
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f21174,f10383]) ).
thf(f21178,plain,
( ~ spl0_273
| ~ spl0_330
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f21177]) ).
thf(f21182,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_388 ),
inference(constrained_superposition,[],[f18133,f80]) ).
thf(f21191,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_388 ),
inference(trivial_inequality_removal,[],[f21182]) ).
thf(f21194,plain,
( ~ spl0_13
| spl0_376
| ~ spl0_388 ),
inference(avatar_split_clause,[],[f21191,f18132,f18087,f177]) ).
thf(f21275,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_338
| ~ spl0_342 ),
inference(constrained_superposition,[],[f15961,f15521]) ).
thf(f21276,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_338
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f21275]) ).
thf(f21283,plain,
( ~ spl0_36
| ~ spl0_338
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f21276,f15960,f15520,f528]) ).
thf(f21284,plain,
( spl0_137
| ~ spl0_40
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f21100,f6762,f600,f6578]) ).
thf(f21298,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f621,f11214]) ).
thf(f21299,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_53
| ~ spl0_177 ),
inference(constrained_superposition,[],[f948,f11214]) ).
thf(f21301,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f48,f11214]) ).
thf(f21304,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f21298]) ).
thf(f21306,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_53
| ~ spl0_177 ),
inference(duplicate_literal_removal,[],[f21299]) ).
thf(f21307,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_53
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f21306]) ).
thf(f21313,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f21301]) ).
thf(f21315,plain,
( spl0_137
| spl0_42
| ~ spl0_41
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f21304,f7145,f638,f641,f6578]) ).
thf(f21316,plain,
( spl0_134
| ~ spl0_41
| spl0_169
| ~ spl0_53
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f21307,f7145,f947,f6799,f638,f6567]) ).
thf(f21508,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_318
| ~ spl0_405 ),
inference(constrained_superposition,[],[f18510,f13334]) ).
thf(f21510,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_318
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f21508]) ).
thf(f21511,plain,
( $false
| ~ spl0_207
| ~ spl0_318
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f21510,f7847]) ).
thf(f21512,plain,
( ~ spl0_207
| ~ spl0_318
| ~ spl0_405 ),
inference(avatar_contradiction_clause,[],[f21511]) ).
thf(f21575,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_282
| ~ spl0_322 ),
inference(constrained_superposition,[],[f10563,f13357]) ).
thf(f21577,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_282
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f21575]) ).
thf(f21582,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_325
| ~ spl0_389 ),
inference(constrained_superposition,[],[f18153,f13367]) ).
thf(f21585,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_325
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f21582]) ).
thf(f21598,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_12
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[],[f8268,f145]) ).
thf(f21599,plain,
( ( $true != $true )
| ~ spl0_12
| ~ spl0_146
| ~ spl0_215 ),
inference(constrained_superposition,[],[f21598,f6611]) ).
thf(f21600,plain,
( ( $true != $true )
| ~ spl0_12
| ~ spl0_215
| ~ spl0_285 ),
inference(constrained_superposition,[],[f21598,f10635]) ).
thf(f21602,plain,
( $false
| ~ spl0_12
| ~ spl0_146
| ~ spl0_215 ),
inference(trivial_inequality_removal,[],[f21599]) ).
thf(f21603,plain,
( ~ spl0_12
| ~ spl0_146
| ~ spl0_215 ),
inference(avatar_contradiction_clause,[],[f21602]) ).
thf(f21606,plain,
( $false
| ~ spl0_12
| ~ spl0_215
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f21600]) ).
thf(f21607,plain,
( ~ spl0_12
| ~ spl0_215
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[],[f21606]) ).
thf(f21610,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_337
| ~ spl0_338 ),
inference(constrained_superposition,[],[f15450,f15521]) ).
thf(f21612,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_337
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f21610]) ).
thf(f21614,plain,
( $false
| ~ spl0_222
| ~ spl0_337
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f21612,f8312]) ).
thf(f21615,plain,
( ~ spl0_222
| ~ spl0_337
| ~ spl0_338 ),
inference(avatar_contradiction_clause,[],[f21614]) ).
thf(f21616,plain,
( ~ spl0_235
| ~ spl0_325
| ~ spl0_389 ),
inference(avatar_split_clause,[],[f21585,f18152,f13366,f9219]) ).
thf(f21617,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| spl0_147
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f21313,f7959]) ).
thf(f21625,plain,
( ~ spl0_9
| spl0_14
| spl0_147
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f21617,f7145,f6614,f180,f123]) ).
thf(f21673,plain,
( $false
| ~ spl0_282
| ~ spl0_322
| ~ spl0_385 ),
inference(forward_subsumption_resolution,[],[f21577,f18122]) ).
thf(f21674,plain,
( ~ spl0_282
| ~ spl0_322
| ~ spl0_385 ),
inference(avatar_contradiction_clause,[],[f21673]) ).
thf(f21696,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_337
| ~ spl0_339 ),
inference(constrained_superposition,[],[f15450,f15529]) ).
thf(f21705,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_337
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f21696]) ).
thf(f21706,plain,
( $false
| ~ spl0_134
| ~ spl0_337
| ~ spl0_339 ),
inference(forward_subsumption_resolution,[],[f21705,f6568]) ).
thf(f21707,plain,
( ~ spl0_134
| ~ spl0_337
| ~ spl0_339 ),
inference(avatar_contradiction_clause,[],[f21706]) ).
thf(f21845,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_317
| ~ spl0_334 ),
inference(constrained_superposition,[],[f14431,f13330]) ).
thf(f21850,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_317
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f21845]) ).
thf(f21851,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_317
| ~ spl0_334 ),
inference(constrained_superposition,[],[f21850,f425]) ).
thf(f21852,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f21851]) ).
thf(f21853,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f21852,f28]) ).
thf(f21861,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(constrained_superposition,[],[f621,f21853]) ).
thf(f21875,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f21861]) ).
thf(f21882,plain,
( spl0_368
| spl0_137
| ~ spl0_367
| ~ spl0_317
| ~ spl0_334 ),
inference(avatar_split_clause,[],[f21875,f14430,f13329,f18055,f6578,f18058]) ).
thf(f21888,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_233
| ~ spl0_413 ),
inference(constrained_superposition,[],[f18928,f9214]) ).
thf(f21900,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_233
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f21888]) ).
thf(f21908,plain,
( ~ spl0_244
| ~ spl0_277
| ~ spl0_233
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f21900,f18927,f9213,f10413,f9751]) ).
thf(f21954,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_10
| ~ spl0_376 ),
inference(constrained_superposition,[],[f130,f18088]) ).
thf(f21957,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_10
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f21954]) ).
thf(f21959,plain,
( $false
| ~ spl0_10
| ~ spl0_376
| ~ spl0_385 ),
inference(forward_subsumption_resolution,[],[f21957,f18122]) ).
thf(f21960,plain,
( ~ spl0_10
| ~ spl0_376
| ~ spl0_385 ),
inference(avatar_contradiction_clause,[],[f21959]) ).
thf(f21961,plain,
( $false
| ~ spl0_317
| ~ spl0_334
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f18108,f21850]) ).
thf(f21962,plain,
( ~ spl0_317
| ~ spl0_334
| ~ spl0_381 ),
inference(avatar_contradiction_clause,[],[f21961]) ).
thf(f22007,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_39
| ~ spl0_65 ),
inference(constrained_superposition,[],[f547,f1052]) ).
thf(f22010,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_39
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f22007]) ).
thf(f22012,plain,
( ( $true != $true )
| ~ spl0_39
| ~ spl0_65
| ~ spl0_146 ),
inference(constrained_superposition,[],[f22010,f6611]) ).
thf(f22013,plain,
( $false
| ~ spl0_39
| ~ spl0_65
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f22012]) ).
thf(f22014,plain,
( ~ spl0_39
| ~ spl0_65
| ~ spl0_146 ),
inference(avatar_contradiction_clause,[],[f22013]) ).
thf(f22330,plain,
( ( ( s @ z )
!= ( s @ ( s @ z ) ) )
| spl0_46 ),
inference(avatar_component_clause,[],[f689]) ).
thf(f22467,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_46 ),
inference(extensionality_resolution,[],[f425,f22330]) ).
thf(f22468,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_46 ),
inference(extensionality_resolution,[],[f425,f22330]) ).
thf(f22469,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_46 ),
inference(extensionality_resolution,[],[f78,f22330]) ).
thf(f22475,plain,
( spl0_328
| spl0_329
| spl0_46 ),
inference(avatar_split_clause,[],[f22469,f689,f13380,f13377]) ).
thf(f22476,plain,
( spl0_331
| spl0_330
| spl0_46 ),
inference(avatar_split_clause,[],[f22468,f689,f13384,f13387]) ).
thf(f22593,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_262
| ~ spl0_317 ),
inference(constrained_superposition,[],[f10019,f13330]) ).
thf(f22597,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_262
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f22593]) ).
thf(f22644,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_306
| ~ spl0_352 ),
inference(constrained_superposition,[],[f13238,f16884]) ).
thf(f22645,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_306
| ~ spl0_352 ),
inference(trivial_inequality_removal,[],[f22644]) ).
thf(f22741,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_322
| ~ spl0_337 ),
inference(constrained_superposition,[],[f15450,f13357]) ).
thf(f22745,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_322
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f22741]) ).
thf(f22748,plain,
( $false
| ~ spl0_322
| ~ spl0_337
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f22745,f18108]) ).
thf(f22749,plain,
( ~ spl0_322
| ~ spl0_337
| ~ spl0_381 ),
inference(avatar_contradiction_clause,[],[f22748]) ).
thf(f22752,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_322
| ~ spl0_337 ),
inference(constrained_superposition,[],[f22745,f425]) ).
thf(f22753,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_322
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f22752]) ).
thf(f22754,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_322
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f22753,f28]) ).
thf(f22765,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_322
| ~ spl0_337 ),
inference(constrained_superposition,[],[f48,f22754]) ).
thf(f22774,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_322
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f22765]) ).
thf(f22783,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_147
| ~ spl0_322
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f22774,f7959]) ).
thf(f22788,plain,
( ~ spl0_374
| spl0_388
| spl0_147
| ~ spl0_322
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f22783,f15449,f13356,f6614,f18132,f18080]) ).
thf(f22790,plain,
( $false
| ~ spl0_262
| ~ spl0_317
| ~ spl0_385 ),
inference(forward_subsumption_resolution,[],[f18122,f22597]) ).
thf(f22791,plain,
( ~ spl0_262
| ~ spl0_317
| ~ spl0_385 ),
inference(avatar_contradiction_clause,[],[f22790]) ).
thf(f22793,plain,
( spl0_327
| spl0_326
| spl0_46 ),
inference(avatar_split_clause,[],[f22467,f689,f13370,f13373]) ).
thf(f22933,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_331 ),
inference(constrained_superposition,[],[f7024,f13388]) ).
thf(f22936,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_331 ),
inference(constrained_superposition,[],[f168,f13388]) ).
thf(f22941,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f22936]) ).
thf(f22950,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f22933]) ).
thf(f22960,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_233
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f22950,f9214]) ).
thf(f22961,plain,
( spl0_350
| spl0_425
| ~ spl0_233
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f22960,f13387,f9213,f20184,f16417]) ).
thf(f22976,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_316 ),
inference(constrained_superposition,[],[f168,f13327]) ).
thf(f22984,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f22976]) ).
thf(f23066,definition,
( spl0_447
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_447])],[avatar_definition]) ).
thf(f23067,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_447 ),
inference(avatar_component_clause,[],[f23066]) ).
thf(f23125,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_405
| ~ spl0_447 ),
inference(constrained_superposition,[],[f18510,f23067]) ).
thf(f23128,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_405
| ~ spl0_447 ),
inference(trivial_inequality_removal,[],[f23125]) ).
thf(f23130,plain,
( $false
| ~ spl0_146
| ~ spl0_405
| ~ spl0_447 ),
inference(forward_subsumption_resolution,[],[f23128,f6611]) ).
thf(f23131,plain,
( ~ spl0_146
| ~ spl0_405
| ~ spl0_447 ),
inference(avatar_contradiction_clause,[],[f23130]) ).
thf(f23150,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_323
| ~ spl0_387 ),
inference(constrained_superposition,[],[f18129,f13360]) ).
thf(f23151,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_387 ),
inference(constrained_superposition,[],[f18129,f427]) ).
thf(f23157,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_387 ),
inference(trivial_inequality_removal,[],[f23151]) ).
thf(f23164,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_323
| ~ spl0_387 ),
inference(trivial_inequality_removal,[],[f23150]) ).
thf(f23166,plain,
( spl0_369
| ~ spl0_41
| ~ spl0_387 ),
inference(avatar_split_clause,[],[f23157,f18128,f638,f18062]) ).
thf(f23167,plain,
( ~ spl0_277
| ~ spl0_323
| ~ spl0_387 ),
inference(avatar_split_clause,[],[f23164,f18128,f13359,f10413]) ).
thf(f23168,plain,
( spl0_207
| ~ spl0_380
| spl0_387
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f22984,f13326,f18128,f18103,f7846]) ).
thf(f23177,plain,
( spl0_207
| ~ spl0_313
| spl0_312
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f22941,f13387,f13294,f13297,f7846]) ).
thf(f23181,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_149 ),
inference(constrained_superposition,[],[f6622,f38]) ).
thf(f23185,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_149 ),
inference(trivial_inequality_removal,[],[f23181]) ).
thf(f23188,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_46
| spl0_149 ),
inference(forward_subsumption_resolution,[],[f23185,f22330]) ).
thf(f23190,plain,
( spl0_137
| spl0_46
| spl0_149 ),
inference(avatar_split_clause,[],[f23188,f6621,f689,f6578]) ).
thf(f23209,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f763,f81]) ).
thf(f23225,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_49 ),
inference(duplicate_literal_removal,[],[f23209]) ).
thf(f23226,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f23225]) ).
thf(f23289,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_326
| ~ spl0_424 ),
inference(constrained_superposition,[],[f19936,f13371]) ).
thf(f23292,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_326
| ~ spl0_424 ),
inference(trivial_inequality_removal,[],[f23289]) ).
thf(f23297,plain,
( $false
| ~ spl0_65
| ~ spl0_326
| ~ spl0_424 ),
inference(forward_subsumption_resolution,[],[f23292,f1052]) ).
thf(f23298,plain,
( ~ spl0_65
| ~ spl0_326
| ~ spl0_424 ),
inference(avatar_contradiction_clause,[],[f23297]) ).
thf(f23313,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_208 ),
inference(constrained_superposition,[],[f7868,f29]) ).
thf(f23317,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_208 ),
inference(trivial_inequality_removal,[],[f23313]) ).
thf(f23327,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_320
| ~ spl0_424 ),
inference(constrained_superposition,[],[f19936,f13341]) ).
thf(f23329,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_320
| ~ spl0_424 ),
inference(trivial_inequality_removal,[],[f23327]) ).
thf(f23333,plain,
( $false
| ~ spl0_65
| ~ spl0_320
| ~ spl0_424 ),
inference(forward_subsumption_resolution,[],[f23329,f1052]) ).
thf(f23334,plain,
( ~ spl0_65
| ~ spl0_320
| ~ spl0_424 ),
inference(avatar_contradiction_clause,[],[f23333]) ).
thf(f23341,plain,
( spl0_188
| spl0_263
| spl0_208 ),
inference(avatar_split_clause,[],[f23317,f7867,f10034,f7394]) ).
thf(f23342,plain,
( ~ spl0_30
| ~ spl0_306
| ~ spl0_352 ),
inference(avatar_split_clause,[],[f22645,f16883,f13237,f507]) ).
thf(f23370,plain,
( ( $true != $true )
| ~ spl0_273
| ~ spl0_283 ),
inference(constrained_superposition,[],[f10566,f10383]) ).
thf(f23371,plain,
( ( $true != $true )
| ~ spl0_235
| ~ spl0_283 ),
inference(constrained_superposition,[],[f10566,f15531]) ).
thf(f23372,plain,
( $false
| ~ spl0_273
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f23370]) ).
thf(f23373,plain,
( ~ spl0_273
| ~ spl0_283 ),
inference(avatar_contradiction_clause,[],[f23372]) ).
thf(f23374,plain,
( $false
| ~ spl0_235
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f23371]) ).
thf(f23375,plain,
( ~ spl0_235
| ~ spl0_283 ),
inference(avatar_contradiction_clause,[],[f23374]) ).
thf(f23389,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f48,f11124]) ).
thf(f23392,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f23389]) ).
thf(f23403,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| spl0_147
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f23392,f7959]) ).
thf(f23407,plain,
( ~ spl0_35
| spl0_54
| spl0_147
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f23403,f7041,f6614,f951,f525]) ).
thf(f23459,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_39
| ~ spl0_273 ),
inference(constrained_superposition,[],[f547,f10383]) ).
thf(f23462,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_39
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f23459]) ).
thf(f23463,plain,
( $false
| ~ spl0_39
| ~ spl0_273
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f23462,f10635]) ).
thf(f23464,plain,
( ~ spl0_39
| ~ spl0_273
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[],[f23463]) ).
thf(f23465,plain,
( ( $true != $true )
| ~ spl0_11
| ~ spl0_222 ),
inference(constrained_superposition,[],[f133,f8312]) ).
thf(f23466,plain,
( $false
| ~ spl0_11
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f23465]) ).
thf(f23467,plain,
( ~ spl0_11
| ~ spl0_222 ),
inference(avatar_contradiction_clause,[],[f23466]) ).
thf(f23490,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_307 ),
inference(constrained_superposition,[],[f33,f13250]) ).
thf(f23492,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f23490]) ).
thf(f23493,plain,
( spl0_306
| spl0_261
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f23492,f13249,f10015,f13237]) ).
thf(f23511,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_39
| ~ spl0_273 ),
inference(constrained_superposition,[],[f547,f10383]) ).
thf(f23514,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_39
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f23511]) ).
thf(f23556,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_321 ),
inference(constrained_superposition,[],[f621,f13344]) ).
thf(f23559,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_321 ),
inference(constrained_superposition,[],[f48,f13344]) ).
thf(f23562,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f23559]) ).
thf(f23565,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f23556]) ).
thf(f23577,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_131
| ~ spl0_344 ),
inference(constrained_superposition,[],[f5824,f16387]) ).
thf(f23582,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_131
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f23577]) ).
thf(f23584,plain,
( $false
| ~ spl0_131
| ~ spl0_235
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f23582,f15531]) ).
thf(f23585,plain,
( ~ spl0_131
| ~ spl0_235
| ~ spl0_344 ),
inference(avatar_contradiction_clause,[],[f23584]) ).
thf(f23599,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_229 ),
inference(constrained_superposition,[],[f16388,f78]) ).
thf(f23603,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_229 ),
inference(trivial_inequality_removal,[],[f23599]) ).
thf(f23607,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_46
| spl0_229 ),
inference(forward_subsumption_resolution,[],[f23603,f22330]) ).
thf(f23609,plain,
( spl0_350
| spl0_46
| spl0_229 ),
inference(avatar_split_clause,[],[f23607,f9187,f689,f16417]) ).
thf(f23696,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_284
| ~ spl0_339 ),
inference(constrained_superposition,[],[f10580,f15529]) ).
thf(f23701,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_284
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f23696]) ).
thf(f23704,plain,
( $false
| ~ spl0_30
| ~ spl0_284
| ~ spl0_339 ),
inference(forward_subsumption_resolution,[],[f23701,f508]) ).
thf(f23705,plain,
( ~ spl0_30
| ~ spl0_284
| ~ spl0_339 ),
inference(avatar_contradiction_clause,[],[f23704]) ).
thf(f23791,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f168,f13360]) ).
thf(f23804,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f23791]) ).
thf(f23820,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f7024,f13364]) ).
thf(f23823,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f168,f13364]) ).
thf(f23831,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f23823]) ).
thf(f23832,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f23820]) ).
thf(f23841,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_233
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f23832,f9214]) ).
thf(f23844,plain,
( spl0_381
| spl0_425
| ~ spl0_233
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f23841,f13363,f9213,f20184,f18107]) ).
thf(f23854,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f18059,f3254]) ).
thf(f23855,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_316
| ~ spl0_368 ),
inference(constrained_superposition,[],[f18059,f13327]) ).
thf(f23856,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_323
| ~ spl0_368 ),
inference(constrained_superposition,[],[f18059,f13360]) ).
thf(f23864,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f23854]) ).
thf(f23868,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_316
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f23855]) ).
thf(f23870,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_323
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f23856]) ).
thf(f23872,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_174
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f23864,f11124]) ).
thf(f23873,plain,
( ~ spl0_274
| ~ spl0_316
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f23868,f18058,f13326,f10390]) ).
thf(f23874,plain,
( ~ spl0_276
| ~ spl0_323
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f23870,f18058,f13359,f10410]) ).
thf(f23875,plain,
( spl0_381
| ~ spl0_174
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f23872,f18058,f7041,f18107]) ).
thf(f23877,plain,
( spl0_376
| spl0_312
| ~ spl0_313
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f23831,f13363,f13297,f13294,f18087]) ).
thf(f23878,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_39
| ~ spl0_273
| ~ spl0_323 ),
inference(forward_subsumption_resolution,[],[f23804,f23514]) ).
thf(f23879,plain,
( ~ spl0_380
| spl0_387
| ~ spl0_39
| ~ spl0_273
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f23878,f13359,f10382,f546,f18128,f18103]) ).
thf(f23898,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_312
| ~ spl0_324 ),
inference(constrained_superposition,[],[f13295,f13364]) ).
thf(f23910,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_312
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f23898]) ).
thf(f23970,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_324
| ~ spl0_425 ),
inference(constrained_superposition,[],[f20185,f13364]) ).
thf(f23971,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_425 ),
inference(constrained_superposition,[],[f20185,f427]) ).
thf(f23983,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324
| ~ spl0_425 ),
inference(trivial_inequality_removal,[],[f23970]) ).
thf(f23984,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_425 ),
inference(trivial_inequality_removal,[],[f23971]) ).
thf(f23986,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324
| ~ spl0_425 ),
inference(constrained_superposition,[],[f23983,f78]) ).
thf(f23987,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_324
| ~ spl0_425 ),
inference(constrained_superposition,[],[f23983,f38]) ).
thf(f23989,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_324
| ~ spl0_425 ),
inference(trivial_inequality_removal,[],[f23987]) ).
thf(f23990,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324
| ~ spl0_425 ),
inference(trivial_inequality_removal,[],[f23986]) ).
thf(f23992,plain,
( spl0_341
| spl0_447
| ~ spl0_324
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f23989,f20184,f13363,f23066,f15570]) ).
thf(f23993,plain,
( spl0_447
| spl0_264
| ~ spl0_324
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f23990,f20184,f13363,f10037,f23066]) ).
thf(f23995,plain,
( ~ spl0_384
| ~ spl0_312
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f23910,f13363,f13294,f18117]) ).
thf(f24000,plain,
( ( $true != $true )
| ~ spl0_369
| ~ spl0_398 ),
inference(constrained_superposition,[],[f18282,f18063]) ).
thf(f24006,plain,
( $false
| ~ spl0_369
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f24000]) ).
thf(f24007,plain,
( ~ spl0_369
| ~ spl0_398 ),
inference(avatar_contradiction_clause,[],[f24006]) ).
thf(f24010,plain,
( spl0_273
| ~ spl0_149
| ~ spl0_425 ),
inference(avatar_split_clause,[],[f23984,f20184,f6621,f10382]) ).
thf(f24011,plain,
( spl0_273
| spl0_156
| ~ spl0_149
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f23565,f13343,f6621,f6751,f10382]) ).
thf(f24021,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_333 ),
inference(constrained_superposition,[],[f33,f13463]) ).
thf(f24022,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f24021]) ).
thf(f24023,plain,
( spl0_261
| spl0_262
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f24022,f13462,f10018,f10015]) ).
thf(f24095,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f621,f13381]) ).
thf(f24097,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f168,f13381]) ).
thf(f24098,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f48,f13381]) ).
thf(f24103,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f24095]) ).
thf(f24109,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) )
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f24098]) ).
thf(f24112,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f24097]) ).
thf(f24125,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f48,f9188]) ).
thf(f24135,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f24125]) ).
thf(f24141,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| spl0_147
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f24135,f7959]) ).
thf(f24142,plain,
( ~ spl0_190
| spl0_194
| spl0_147
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f24141,f9187,f6614,f7446,f7400]) ).
thf(f24179,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_306
| ~ spl0_317 ),
inference(constrained_superposition,[],[f13238,f13330]) ).
thf(f24182,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_306
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f24179]) ).
thf(f24200,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_331
| ~ spl0_425 ),
inference(constrained_superposition,[],[f20185,f13388]) ).
thf(f24208,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_331 ),
inference(constrained_superposition,[],[f7024,f13388]) ).
thf(f24209,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_331 ),
inference(constrained_superposition,[],[f621,f13388]) ).
thf(f24219,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_331
| ~ spl0_425 ),
inference(trivial_inequality_removal,[],[f24200]) ).
thf(f24223,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f24209]) ).
thf(f24227,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f24208]) ).
thf(f24228,plain,
( $false
| ~ spl0_329
| ~ spl0_331
| ~ spl0_425 ),
inference(forward_subsumption_resolution,[],[f24219,f13381]) ).
thf(f24229,plain,
( ~ spl0_329
| ~ spl0_331
| ~ spl0_425 ),
inference(avatar_contradiction_clause,[],[f24228]) ).
thf(f24236,plain,
( $false
| ~ spl0_306
| ~ spl0_317
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f18088,f24182]) ).
thf(f24237,plain,
( ~ spl0_306
| ~ spl0_317
| ~ spl0_376 ),
inference(avatar_contradiction_clause,[],[f24236]) ).
thf(f24239,plain,
( spl0_279
| ~ spl0_314
| spl0_188
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f24223,f13387,f7394,f13305,f10458]) ).
thf(f24241,plain,
( spl0_159
| spl0_230
| ~ spl0_160
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f24109,f13380,f6765,f9190,f6762]) ).
thf(f24242,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_233
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f24227,f9214]) ).
thf(f24243,plain,
( spl0_350
| spl0_425
| ~ spl0_233
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f24242,f13387,f9213,f20184,f16417]) ).
thf(f24319,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_131
| ~ spl0_350 ),
inference(constrained_superposition,[],[f5824,f16418]) ).
thf(f24323,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_131
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f24319]) ).
thf(f24325,plain,
( $false
| ~ spl0_131
| ~ spl0_230
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f24323,f13448]) ).
thf(f24326,plain,
( ~ spl0_131
| ~ spl0_230
| ~ spl0_350 ),
inference(avatar_contradiction_clause,[],[f24325]) ).
thf(f24331,plain,
( ~ spl0_160
| spl0_159
| spl0_235
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f23562,f13343,f9219,f6762,f6765]) ).
thf(f24332,plain,
( ~ spl0_149
| spl0_156
| spl0_188
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f24103,f13380,f7394,f6751,f6621]) ).
thf(f24333,plain,
( ~ spl0_166
| spl0_169
| spl0_207
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f24112,f13380,f7846,f6799,f6787]) ).
thf(f24361,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_41 ),
inference(constrained_superposition,[],[f639,f29]) ).
thf(f24363,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_41 ),
inference(trivial_inequality_removal,[],[f24361]) ).
thf(f24366,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_41
| spl0_46 ),
inference(forward_subsumption_resolution,[],[f24363,f22330]) ).
thf(f24367,plain,
( spl0_45
| spl0_41
| spl0_46 ),
inference(avatar_split_clause,[],[f24366,f689,f638,f686]) ).
thf(f24387,plain,
( ( $true != $true )
| ~ spl0_261
| ~ spl0_350 ),
inference(constrained_superposition,[],[f10016,f16418]) ).
thf(f24390,plain,
( $false
| ~ spl0_261
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f24387]) ).
thf(f24391,plain,
( ~ spl0_261
| ~ spl0_350 ),
inference(avatar_contradiction_clause,[],[f24390]) ).
thf(f24406,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_31
| ~ spl0_166 ),
inference(constrained_superposition,[],[f511,f7960]) ).
thf(f24409,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f335,f7960]) ).
thf(f24411,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f56,f7960]) ).
thf(f24415,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_3
| ~ spl0_166 ),
inference(constrained_superposition,[],[f104,f7960]) ).
thf(f24416,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f48,f7960]) ).
thf(f24422,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_31
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f24406]) ).
thf(f24423,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f24411]) ).
thf(f24425,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_3
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f24415]) ).
thf(f24428,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f24416]) ).
thf(f24430,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_166 ),
inference(duplicate_literal_removal,[],[f24409]) ).
thf(f24431,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f24430]) ).
thf(f24432,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_31
| ~ spl0_151
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f24422,f6651]) ).
thf(f24434,plain,
( ~ spl0_160
| spl0_257
| ~ spl0_3
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f24425,f6787,f103,f9961,f6765]) ).
thf(f24438,plain,
( spl0_169
| ~ spl0_31
| ~ spl0_151
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f24432,f6787,f6650,f510,f6799]) ).
thf(f24444,plain,
( ( $true != $true )
| ~ spl0_65
| ~ spl0_151 ),
inference(constrained_superposition,[],[f6651,f1052]) ).
thf(f24445,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f33,f1052]) ).
thf(f24446,plain,
( $false
| ~ spl0_65
| ~ spl0_151 ),
inference(trivial_inequality_removal,[],[f24444]) ).
thf(f24447,plain,
( ~ spl0_65
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f24446]) ).
thf(f24448,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f24445]) ).
thf(f24449,plain,
( spl0_44
| spl0_424
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f24448,f1051,f19935,f675]) ).
thf(f24450,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_11
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f24423,f133]) ).
thf(f24452,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) )
= $true )
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f107,f133]) ).
thf(f24453,plain,
( spl0_3
| ~ spl0_11
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f24450,f6787,f132,f103]) ).
thf(f24455,plain,
( spl0_18
| ~ spl0_4
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f24452,f132,f106,f274]) ).
thf(f24456,plain,
( $false
| ~ spl0_147
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f6615,f6651]) ).
thf(f24457,plain,
( ~ spl0_147
| ~ spl0_151 ),
inference(avatar_contradiction_clause,[],[f24456]) ).
thf(f24459,plain,
( spl0_179
| spl0_19
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f24431,f6787,f277,f7159]) ).
thf(f24461,plain,
( spl0_5
| spl0_159
| ~ spl0_160
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f24428,f6787,f6765,f6762,f110]) ).
thf(f24462,plain,
( spl0_3
| spl0_222
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f24423,f6787,f8311,f103]) ).
thf(f24789,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f33,f6615]) ).
thf(f24790,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f24789]) ).
thf(f24791,plain,
( spl0_131
| spl0_11
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f24790,f6614,f132,f5823]) ).
thf(f24823,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_49
| ~ spl0_177 ),
inference(constrained_superposition,[],[f763,f11214]) ).
thf(f24830,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_49
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f24823]) ).
thf(f24839,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f1002,f29]) ).
thf(f24848,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ ( s @ z ) )
= $true ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f24839]) ).
thf(f24904,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_64
| spl0_179 ),
inference(constrained_superposition,[],[f7160,f1048]) ).
thf(f24906,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_64
| spl0_179 ),
inference(trivial_inequality_removal,[],[f24904]) ).
thf(f24908,plain,
( $false
| spl0_46
| ~ spl0_64
| spl0_179 ),
inference(forward_subsumption_resolution,[],[f24906,f22330]) ).
thf(f24909,plain,
( spl0_46
| ~ spl0_64
| spl0_179 ),
inference(avatar_contradiction_clause,[],[f24908]) ).
thf(f24921,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f621,f9188]) ).
thf(f24926,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f24921]) ).
thf(f24939,plain,
( spl0_137
| spl0_209
| ~ spl0_208
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f24926,f9187,f7867,f7870,f6578]) ).
thf(f24951,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_169
| ~ spl0_329 ),
inference(constrained_superposition,[],[f6800,f13381]) ).
thf(f24966,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_169
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f24951]) ).
thf(f24967,plain,
( ~ spl0_275
| ~ spl0_169
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f24966,f13380,f6799,f10393]) ).
thf(f24980,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_259 ),
inference(constrained_superposition,[],[f9974,f428]) ).
thf(f24984,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f24980]) ).
thf(f24994,plain,
( spl0_134
| ~ spl0_104
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f24984,f9973,f3024,f6567]) ).
thf(f25066,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_209
| ~ spl0_229 ),
inference(constrained_superposition,[],[f7871,f9188]) ).
thf(f25067,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f7871,f3254]) ).
thf(f25075,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_209
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f25066]) ).
thf(f25079,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f25067]) ).
thf(f25082,plain,
( $false
| ~ spl0_174
| ~ spl0_209
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f25075,f11124]) ).
thf(f25083,plain,
( ~ spl0_174
| ~ spl0_209
| ~ spl0_229 ),
inference(avatar_contradiction_clause,[],[f25082]) ).
thf(f25084,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_174
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f25079,f11124]) ).
thf(f25085,plain,
( spl0_350
| ~ spl0_174
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f25084,f7870,f7041,f16417]) ).
thf(f25109,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_389
| ~ spl0_447 ),
inference(constrained_superposition,[],[f18153,f23067]) ).
thf(f25110,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_389
| ~ spl0_447 ),
inference(trivial_inequality_removal,[],[f25109]) ).
thf(f25112,plain,
( $false
| ~ spl0_147
| ~ spl0_389
| ~ spl0_447 ),
inference(forward_subsumption_resolution,[],[f25110,f6615]) ).
thf(f25113,plain,
( ~ spl0_147
| ~ spl0_389
| ~ spl0_447 ),
inference(avatar_contradiction_clause,[],[f25112]) ).
thf(f25118,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_317
| ~ spl0_335 ),
inference(constrained_superposition,[],[f15384,f13330]) ).
thf(f25121,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_317
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f25118]) ).
thf(f25124,plain,
( $false
| ~ spl0_317
| ~ spl0_335
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f25121,f18063]) ).
thf(f25125,plain,
( ~ spl0_317
| ~ spl0_335
| ~ spl0_369 ),
inference(avatar_contradiction_clause,[],[f25124]) ).
thf(f25217,plain,
( ~ spl0_9
| spl0_88
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f23226,f762,f1512,f123]) ).
thf(f25218,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_49
| ~ spl0_177
| spl0_179 ),
inference(forward_subsumption_resolution,[],[f24830,f7160]) ).
thf(f25219,plain,
( ~ spl0_9
| spl0_413
| ~ spl0_49
| ~ spl0_177
| spl0_179 ),
inference(avatar_split_clause,[],[f25218,f7159,f7145,f762,f18927,f123]) ).
thf(f25408,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f24848,f29]) ).
thf(f25411,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ z ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f25408]) ).
thf(f25444,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_326
| ~ spl0_342 ),
inference(constrained_superposition,[],[f15961,f13371]) ).
thf(f25446,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_315
| ~ spl0_342 ),
inference(constrained_superposition,[],[f15961,f13311]) ).
thf(f25447,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_326
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f25444]) ).
thf(f25449,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_315
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f25446]) ).
thf(f25451,plain,
( $false
| ~ spl0_45
| ~ spl0_315
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f25449,f687]) ).
thf(f25452,plain,
( ~ spl0_45
| ~ spl0_315
| ~ spl0_342 ),
inference(avatar_contradiction_clause,[],[f25451]) ).
thf(f25483,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_413 ),
inference(constrained_superposition,[],[f18928,f428]) ).
thf(f25487,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f25483]) ).
thf(f25499,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_322
| ~ spl0_342 ),
inference(constrained_superposition,[],[f15961,f13357]) ).
thf(f25505,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_322
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f25499]) ).
thf(f25507,plain,
( $false
| ~ spl0_322
| ~ spl0_342
| ~ spl0_369 ),
inference(forward_subsumption_resolution,[],[f25505,f18063]) ).
thf(f25508,plain,
( ~ spl0_322
| ~ spl0_342
| ~ spl0_369 ),
inference(avatar_contradiction_clause,[],[f25507]) ).
thf(f25529,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f33,f6568]) ).
thf(f25531,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f25529]) ).
thf(f25533,plain,
( spl0_152
| spl0_151
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f25531,f6567,f6650,f6653]) ).
thf(f25566,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f621,f13381]) ).
thf(f25571,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f25566]) ).
thf(f25584,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_326
| ~ spl0_329
| ~ spl0_342 ),
inference(forward_subsumption_resolution,[],[f25571,f25447]) ).
thf(f25587,plain,
( spl0_156
| ~ spl0_149
| ~ spl0_326
| ~ spl0_329
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f25584,f15960,f13380,f13370,f6621,f6751]) ).
thf(f25596,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f621,f9188]) ).
thf(f25612,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f25596]) ).
thf(f25618,plain,
( ~ spl0_208
| spl0_209
| spl0_137
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f25612,f9187,f6578,f7870,f7867]) ).
thf(f25709,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_316 ),
inference(constrained_superposition,[],[f621,f13327]) ).
thf(f25714,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f25709]) ).
thf(f25799,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f18059,f80]) ).
thf(f25801,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f18059,f36]) ).
thf(f25810,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f25799]) ).
thf(f25811,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f25801]) ).
thf(f25813,plain,
( ~ spl0_104
| spl0_376
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f25810,f18058,f18087,f3024]) ).
thf(f25814,plain,
( ~ spl0_35
| spl0_385
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f25811,f18058,f18121,f525]) ).
thf(f25817,plain,
( ~ spl0_367
| spl0_188
| spl0_368
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f25714,f13326,f18058,f7394,f18055]) ).
thf(f25841,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_275 ),
inference(constrained_superposition,[],[f10394,f29]) ).
thf(f25844,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_275 ),
inference(trivial_inequality_removal,[],[f25841]) ).
thf(f25846,plain,
( spl0_264
| spl0_307
| spl0_275 ),
inference(avatar_split_clause,[],[f25844,f10393,f13249,f10037]) ).
thf(f25858,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f56,f11124]) ).
thf(f25860,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_174
| ~ spl0_413 ),
inference(constrained_superposition,[],[f18928,f11124]) ).
thf(f25867,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f25858]) ).
thf(f25877,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_174
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f25860]) ).
thf(f25909,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_315
| ~ spl0_337 ),
inference(constrained_superposition,[],[f15450,f13311]) ).
thf(f25913,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_315
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f25909]) ).
thf(f25916,plain,
( $false
| ~ spl0_179
| ~ spl0_315
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f25913,f7167]) ).
thf(f25917,plain,
( ~ spl0_179
| ~ spl0_315
| ~ spl0_337 ),
inference(avatar_contradiction_clause,[],[f25916]) ).
thf(f25918,plain,
( spl0_36
| spl0_171
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f25867,f7041,f6809,f528]) ).
thf(f25920,plain,
( ~ spl0_41
| ~ spl0_40
| spl0_134
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f25487,f18927,f6567,f600,f638]) ).
thf(f25921,plain,
( ~ spl0_41
| ~ spl0_40
| ~ spl0_174
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f25877,f18927,f7041,f600,f638]) ).
thf(f25922,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f33,f494]) ).
thf(f25923,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f25922]) ).
thf(f25924,plain,
( spl0_38
| spl0_11
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f25923,f493,f132,f542]) ).
thf(f25929,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f33,f529]) ).
thf(f25930,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f25929]) ).
thf(f25931,plain,
( spl0_38
| spl0_44
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f25930,f528,f675,f542]) ).
thf(f25957,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f642,f36]) ).
thf(f25962,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f25957]) ).
thf(f25979,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f33,f13378]) ).
thf(f25980,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f25979]) ).
thf(f25981,plain,
( spl0_334
| spl0_261
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f25980,f13377,f10015,f14430]) ).
thf(f25997,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_195
| ~ spl0_350 ),
inference(constrained_superposition,[],[f7451,f16418]) ).
thf(f26001,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_195
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f25997]) ).
thf(f26004,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_58
| ~ spl0_195
| ~ spl0_350 ),
inference(constrained_superposition,[],[f26001,f25411]) ).
thf(f26005,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_58
| ~ spl0_195
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f26004]) ).
thf(f26006,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_58
| ~ spl0_195
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f26005,f28]) ).
thf(f26007,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_58
| ~ spl0_195
| spl0_230
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f26006,f9191]) ).
thf(f26008,plain,
( spl0_264
| ~ spl0_58
| ~ spl0_195
| spl0_230
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f26007,f16417,f9190,f7450,f1001,f10037]) ).
thf(f26010,plain,
( spl0_26
| ~ spl0_9
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f25962,f641,f123,f493]) ).
thf(f26227,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_174
| ~ spl0_193 ),
inference(constrained_superposition,[],[f7440,f11124]) ).
thf(f26228,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f7440,f428]) ).
thf(f26238,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_174
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f26227]) ).
thf(f26240,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f26228]) ).
thf(f26241,plain,
( ~ spl0_104
| ~ spl0_35
| ~ spl0_174
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f26238,f7439,f7041,f525,f3024]) ).
thf(f26242,plain,
( ~ spl0_35
| spl0_134
| ~ spl0_104
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f26240,f7439,f3024,f6567,f525]) ).
thf(f26285,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_325
| ~ spl0_392 ),
inference(constrained_superposition,[],[f18204,f13367]) ).
thf(f26290,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_325
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f26285]) ).
thf(f26292,plain,
( $false
| ~ spl0_273
| ~ spl0_325
| ~ spl0_392 ),
inference(forward_subsumption_resolution,[],[f26290,f10383]) ).
thf(f26293,plain,
( ~ spl0_273
| ~ spl0_325
| ~ spl0_392 ),
inference(avatar_contradiction_clause,[],[f26292]) ).
thf(f26299,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_230 ),
inference(constrained_superposition,[],[f33,f13448]) ).
thf(f26300,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f26299]) ).
thf(f26301,plain,
( spl0_11
| spl0_262
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f26300,f9190,f10018,f132]) ).
thf(f26403,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_262
| ~ spl0_352 ),
inference(constrained_superposition,[],[f10019,f16884]) ).
thf(f26405,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_262
| ~ spl0_352 ),
inference(trivial_inequality_removal,[],[f26403]) ).
thf(f26543,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( 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 ) ) ) @ X0 )
!= $true ) )
| ~ spl0_319 ),
inference(constrained_superposition,[],[f7024,f13337]) ).
thf(f26560,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f26543]) ).
thf(f26566,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_229
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f26560,f9188]) ).
thf(f26568,plain,
( spl0_347
| spl0_381
| ~ spl0_229
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f26566,f13336,f9187,f18107,f16403]) ).
thf(f26608,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_326
| ~ spl0_337 ),
inference(constrained_superposition,[],[f15450,f13371]) ).
thf(f26610,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_326
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f26608]) ).
thf(f26614,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_326
| ~ spl0_337 ),
inference(constrained_superposition,[],[f26610,f425]) ).
thf(f26615,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_326
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f26614]) ).
thf(f26680,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_326 ),
inference(constrained_superposition,[],[f199,f13371]) ).
thf(f26682,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_15
| ~ spl0_320 ),
inference(constrained_superposition,[],[f199,f13341]) ).
thf(f26687,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_15
| ~ spl0_369 ),
inference(constrained_superposition,[],[f199,f18063]) ).
thf(f26688,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_15
| ~ spl0_188 ),
inference(constrained_superposition,[],[f199,f7395]) ).
thf(f26691,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_15
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f26682]) ).
thf(f26693,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_15
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f26680]) ).
thf(f26701,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_15
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f26688]) ).
thf(f26702,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_15
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f26687]) ).
thf(f26707,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_15
| ~ spl0_188
| ~ spl0_262
| ~ spl0_352 ),
inference(forward_subsumption_resolution,[],[f26701,f26405]) ).
thf(f26714,plain,
( $false
| ~ spl0_15
| ~ spl0_188
| ~ spl0_207
| ~ spl0_262
| ~ spl0_352 ),
inference(forward_subsumption_resolution,[],[f26707,f7847]) ).
thf(f26715,plain,
( ~ spl0_15
| ~ spl0_188
| ~ spl0_207
| ~ spl0_262
| ~ spl0_352 ),
inference(avatar_contradiction_clause,[],[f26714]) ).
thf(f26716,plain,
( $false
| ~ spl0_326
| ~ spl0_337
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f16418,f26610]) ).
thf(f26717,plain,
( ~ spl0_326
| ~ spl0_337
| ~ spl0_350 ),
inference(avatar_contradiction_clause,[],[f26716]) ).
thf(f26719,plain,
( ~ spl0_207
| spl0_235
| ~ spl0_15
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f26693,f13370,f198,f9219,f7846]) ).
thf(f26720,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_326
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f26615,f28]) ).
thf(f26721,plain,
( spl0_235
| ~ spl0_146
| ~ spl0_15
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f26691,f13340,f198,f6610,f9219]) ).
thf(f26723,plain,
( ~ spl0_376
| spl0_26
| ~ spl0_15
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f26702,f18062,f198,f493,f18087]) ).
thf(f26724,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_285 ),
inference(avatar_component_clause,[],[f10634]) ).
thf(f26726,plain,
( spl0_229
| ~ spl0_326
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f26720,f15449,f13370,f9187]) ).
thf(f26741,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f33,f687]) ).
thf(f26742,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f26741]) ).
thf(f26776,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f168,f11124]) ).
thf(f26782,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f26776]) ).
thf(f26920,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f929,f9214]) ).
thf(f26924,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f56,f9214]) ).
thf(f26926,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f621,f9214]) ).
thf(f26935,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f26926]) ).
thf(f26941,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f26924]) ).
thf(f26943,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f26920]) ).
thf(f26945,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_11
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f26941,f133]) ).
thf(f26946,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_44
| ~ spl0_233 ),
inference(forward_subsumption_resolution,[],[f26943,f676]) ).
thf(f26947,plain,
( spl0_171
| ~ spl0_11
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f26945,f9213,f132,f6809]) ).
thf(f26948,plain,
( spl0_144
| ~ spl0_44
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f26946,f9213,f675,f6603]) ).
thf(f26966,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_317
| ~ spl0_334 ),
inference(constrained_superposition,[],[f14431,f13330]) ).
thf(f26969,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_317
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f26966]) ).
thf(f26970,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(constrained_superposition,[],[f26969,f425]) ).
thf(f26971,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f26970]) ).
thf(f26972,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f26971,f28]) ).
thf(f26974,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(constrained_superposition,[],[f929,f26972]) ).
thf(f26996,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f26974]) ).
thf(f27001,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_44
| ~ spl0_317
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f26996,f676]) ).
thf(f27005,plain,
( spl0_144
| ~ spl0_44
| ~ spl0_317
| ~ spl0_334 ),
inference(avatar_split_clause,[],[f27001,f14430,f13329,f675,f6603]) ).
thf(f27031,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f621,f13360]) ).
thf(f27033,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f168,f13360]) ).
thf(f27034,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_323 ),
inference(constrained_superposition,[],[f48,f13360]) ).
thf(f27037,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f27031]) ).
thf(f27042,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f27033]) ).
thf(f27045,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_323 ),
inference(trivial_inequality_removal,[],[f27034]) ).
thf(f27065,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_223
| ~ spl0_229 ),
inference(constrained_superposition,[],[f8315,f9188]) ).
thf(f27066,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_223
| ~ spl0_233 ),
inference(constrained_superposition,[],[f8315,f9214]) ).
thf(f27070,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_223 ),
inference(constrained_superposition,[],[f8315,f81]) ).
thf(f27072,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_223
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f27066]) ).
thf(f27075,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_223
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f27065]) ).
thf(f27076,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f27070]) ).
thf(f27083,plain,
( ~ spl0_244
| ~ spl0_276
| ~ spl0_223
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f27072,f9213,f8314,f10410,f9751]) ).
thf(f27084,plain,
( ~ spl0_274
| ~ spl0_191
| ~ spl0_223
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f27075,f9187,f8314,f7405,f10390]) ).
thf(f27087,plain,
( $false
| ~ spl0_11
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f15521,f133]) ).
thf(f27088,plain,
( ~ spl0_11
| ~ spl0_338 ),
inference(avatar_contradiction_clause,[],[f27087]) ).
thf(f27090,plain,
( spl0_285
| spl0_387
| ~ spl0_380
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f27042,f13359,f18103,f18128,f10634]) ).
thf(f27097,plain,
( spl0_179
| ~ spl0_104
| ~ spl0_13
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f27076,f8314,f177,f3024,f7159]) ).
thf(f27099,plain,
( spl0_44
| spl0_39
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f26742,f686,f546,f675]) ).
thf(f27103,plain,
( ~ spl0_104
| spl0_146
| spl0_42
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f26782,f7041,f641,f6610,f3024]) ).
thf(f27107,plain,
( spl0_273
| spl0_368
| ~ spl0_367
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f27037,f13359,f18055,f18058,f10382]) ).
thf(f27108,plain,
( spl0_279
| ~ spl0_314
| spl0_137
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f26935,f9213,f6578,f13305,f10458]) ).
thf(f27109,plain,
( ~ spl0_374
| spl0_388
| spl0_235
| ~ spl0_323 ),
inference(avatar_split_clause,[],[f27045,f13359,f9219,f18132,f18080]) ).
thf(f27112,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f33,f111]) ).
thf(f27113,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f27112]) ).
thf(f27114,plain,
( spl0_11
| spl0_10
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f27113,f110,f129,f132]) ).
thf(f27119,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f33,f508]) ).
thf(f27120,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f27119]) ).
thf(f27121,plain,
( spl0_39
| spl0_12
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f27120,f507,f144,f546]) ).
thf(f27128,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f33,f8312]) ).
thf(f27130,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f27128]) ).
thf(f27131,plain,
( spl0_131
| spl0_151
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f27130,f8311,f6650,f5823]) ).
thf(f27138,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_166 ),
inference(constrained_superposition,[],[f929,f7960]) ).
thf(f27153,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f27138]) ).
thf(f27159,plain,
( spl0_134
| spl0_77
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f27153,f6787,f1320,f6567]) ).
thf(f27161,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f33,f19779]) ).
thf(f27162,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f27161]) ).
thf(f27164,definition,
( spl0_460
<=> ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_460])],[avatar_definition]) ).
thf(f27165,plain,
( ! [X2: $i,X0: $i] :
( ( ( r @ X2 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_460 ),
inference(avatar_component_clause,[],[f27164]) ).
thf(f27166,plain,
( spl0_11
| spl0_460
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f27162,f216,f27164,f132]) ).
thf(f27168,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f56,f11214]) ).
thf(f27179,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f27168]) ).
thf(f27189,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f33,f6579]) ).
thf(f27190,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f27189]) ).
thf(f27191,plain,
( spl0_152
| spl0_44
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f27190,f6578,f675,f6653]) ).
thf(f27202,plain,
( ( $true != $true )
| ~ spl0_283
| ~ spl0_330 ),
inference(constrained_superposition,[],[f10566,f13385]) ).
thf(f27207,plain,
( $false
| ~ spl0_283
| ~ spl0_330 ),
inference(trivial_inequality_removal,[],[f27202]) ).
thf(f27208,plain,
( ~ spl0_283
| ~ spl0_330 ),
inference(avatar_contradiction_clause,[],[f27207]) ).
thf(f27219,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ z @ ( s @ z ) )
!= $true )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f952,f80]) ).
thf(f27228,plain,
( ( ( b @ z @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f27219]) ).
thf(f27346,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_367 ),
inference(constrained_superposition,[],[f18056,f38]) ).
thf(f27349,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_367 ),
inference(trivial_inequality_removal,[],[f27346]) ).
thf(f27353,plain,
( spl0_369
| spl0_287
| spl0_367 ),
inference(avatar_split_clause,[],[f27349,f18055,f10640,f18062]) ).
thf(f27356,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_369 ),
inference(constrained_superposition,[],[f33,f18063]) ).
thf(f27358,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_369 ),
inference(trivial_inequality_removal,[],[f27356]) ).
thf(f27359,plain,
( spl0_392
| spl0_44
| ~ spl0_369 ),
inference(avatar_split_clause,[],[f27358,f18062,f675,f18203]) ).
thf(f27401,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_317
| ~ spl0_334 ),
inference(constrained_superposition,[],[f14431,f13330]) ).
thf(f27403,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_317
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f27401]) ).
thf(f27406,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(constrained_superposition,[],[f27403,f425]) ).
thf(f27407,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f27406]) ).
thf(f27408,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f27407,f28]) ).
thf(f27416,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_259
| ~ spl0_317
| ~ spl0_334 ),
inference(constrained_superposition,[],[f9974,f27408]) ).
thf(f27420,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(constrained_superposition,[],[f168,f27408]) ).
thf(f27426,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_317
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f27420]) ).
thf(f27436,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_259
| ~ spl0_317
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f27416]) ).
thf(f27439,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true ) )
| spl0_146
| ~ spl0_317
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f27426,f14421]) ).
thf(f27441,plain,
( ~ spl0_380
| ~ spl0_259
| ~ spl0_317
| ~ spl0_334 ),
inference(avatar_split_clause,[],[f27436,f14430,f13329,f9973,f18103]) ).
thf(f27442,plain,
( ~ spl0_380
| spl0_387
| spl0_146
| ~ spl0_317
| ~ spl0_334 ),
inference(avatar_split_clause,[],[f27439,f14430,f13329,f6610,f18128,f18103]) ).
thf(f27450,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_131
| ~ spl0_134 ),
inference(constrained_superposition,[],[f5824,f6568]) ).
thf(f27454,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_131
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f27450]) ).
thf(f27475,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_325
| ~ spl0_405 ),
inference(constrained_superposition,[],[f18510,f13367]) ).
thf(f27478,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_325
| ~ spl0_405 ),
inference(trivial_inequality_removal,[],[f27475]) ).
thf(f27482,plain,
( $false
| ~ spl0_285
| ~ spl0_325
| ~ spl0_405 ),
inference(forward_subsumption_resolution,[],[f27478,f10635]) ).
thf(f27483,plain,
( ~ spl0_285
| ~ spl0_325
| ~ spl0_405 ),
inference(avatar_contradiction_clause,[],[f27482]) ).
thf(f27498,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_284
| ~ spl0_322 ),
inference(constrained_superposition,[],[f10580,f13357]) ).
thf(f27502,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_284
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f27498]) ).
thf(f27504,plain,
( $false
| ~ spl0_284
| ~ spl0_322
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f27502,f18088]) ).
thf(f27505,plain,
( ~ spl0_284
| ~ spl0_322
| ~ spl0_376 ),
inference(avatar_contradiction_clause,[],[f27504]) ).
thf(f27506,plain,
( ~ spl0_13
| spl0_30
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f27228,f951,f507,f177]) ).
thf(f27507,plain,
( spl0_7
| spl0_171
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f27179,f7145,f6809,f117]) ).
thf(f27509,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X1 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f33,f118]) ).
thf(f27510,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f27509]) ).
thf(f27518,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_189 ),
inference(constrained_superposition,[],[f7398,f29]) ).
thf(f27520,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_189 ),
inference(trivial_inequality_removal,[],[f27518]) ).
thf(f27522,plain,
( spl0_264
| spl0_207
| spl0_189 ),
inference(avatar_split_clause,[],[f27520,f7397,f7846,f10037]) ).
thf(f27525,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f33,f7847]) ).
thf(f27526,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f27525]) ).
thf(f27528,plain,
( spl0_12
| spl0_306
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f27526,f7846,f13237,f144]) ).
thf(f27540,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_352 ),
inference(constrained_superposition,[],[f33,f16884]) ).
thf(f27541,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_352 ),
inference(trivial_inequality_removal,[],[f27540]) ).
thf(f27542,plain,
( spl0_335
| spl0_261
| ~ spl0_352 ),
inference(avatar_split_clause,[],[f27541,f16883,f10015,f15383]) ).
thf(f27550,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f621,f13381]) ).
thf(f27561,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f27550]) ).
thf(f27570,plain,
( ~ spl0_149
| spl0_188
| spl0_156
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f27561,f13380,f6751,f7394,f6621]) ).
thf(f27604,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_282
| ~ spl0_320 ),
inference(constrained_superposition,[],[f10563,f13341]) ).
thf(f27605,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_320 ),
inference(constrained_superposition,[],[f33,f13341]) ).
thf(f27606,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f27605]) ).
thf(f27607,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_282
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f27604]) ).
thf(f27608,plain,
( spl0_283
| spl0_337
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f27606,f13340,f15449,f10565]) ).
thf(f27609,plain,
( $false
| ~ spl0_147
| ~ spl0_282
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f27607,f6615]) ).
thf(f27610,plain,
( ~ spl0_147
| ~ spl0_282
| ~ spl0_320 ),
inference(avatar_contradiction_clause,[],[f27609]) ).
thf(f27611,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_1
| spl0_230 ),
inference(constrained_superposition,[],[f9191,f64]) ).
thf(f27613,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_1
| ~ spl0_131
| ~ spl0_134 ),
inference(constrained_superposition,[],[f27454,f64]) ).
thf(f27615,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f33,f64]) ).
thf(f27616,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ X0 ) )
!= $true )
| ( ( r @ X2 @ z )
!= $true )
| ( ( r @ z @ ( s @ X0 ) )
= $true )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f27615]) ).
thf(f27618,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_1
| ~ spl0_131
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f27613]) ).
thf(f27620,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_1
| spl0_230 ),
inference(trivial_inequality_removal,[],[f27611]) ).
thf(f27621,plain,
( spl0_21
| spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f27616,f63,f132,f292]) ).
thf(f27622,plain,
( $false
| ~ spl0_1
| spl0_36
| ~ spl0_131
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f27618,f4184]) ).
thf(f27623,plain,
( ~ spl0_1
| spl0_36
| ~ spl0_131
| ~ spl0_134 ),
inference(avatar_contradiction_clause,[],[f27622]) ).
thf(f27625,plain,
( spl0_333
| ~ spl0_1
| spl0_230 ),
inference(avatar_split_clause,[],[f27620,f9190,f63,f13462]) ).
thf(f27644,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f6752,f80]) ).
thf(f27656,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f27644]) ).
thf(f27658,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_146
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f27656,f14421]) ).
thf(f27659,plain,
( ~ spl0_104
| spl0_146
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f27658,f6751,f6610,f3024]) ).
thf(f27688,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_137 ),
inference(constrained_superposition,[],[f293,f6579]) ).
thf(f27697,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_21
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f27688]) ).
thf(f27704,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_21
| spl0_36
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f27697,f4184]) ).
thf(f27706,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| spl0_385 ),
inference(avatar_component_clause,[],[f18121]) ).
thf(f27710,plain,
( $false
| ~ spl0_21
| spl0_36
| ~ spl0_137
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f27704,f6615]) ).
thf(f27711,plain,
( ~ spl0_21
| spl0_36
| ~ spl0_137
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f27710]) ).
thf(f27735,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_322
| ~ spl0_337 ),
inference(constrained_superposition,[],[f15450,f13357]) ).
thf(f27738,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_322
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f27735]) ).
thf(f27744,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_322
| ~ spl0_337 ),
inference(constrained_superposition,[],[f27738,f425]) ).
thf(f27745,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_322
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f27744]) ).
thf(f27746,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_322
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f27745,f28]) ).
thf(f27754,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_259
| ~ spl0_322
| ~ spl0_337 ),
inference(constrained_superposition,[],[f9974,f27746]) ).
thf(f27773,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_259
| ~ spl0_322
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f27754]) ).
thf(f27781,plain,
( ~ spl0_380
| ~ spl0_259
| ~ spl0_322
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f27773,f15449,f13356,f9973,f18103]) ).
thf(f27787,plain,
( spl0_10
| spl0_12
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f27510,f117,f144,f129]) ).
thf(f27788,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_338 ),
inference(constrained_superposition,[],[f33,f15521]) ).
thf(f27789,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ z )
!= $true ) )
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f27788]) ).
thf(f27790,plain,
( spl0_282
| spl0_283
| ~ spl0_338 ),
inference(avatar_split_clause,[],[f27789,f15520,f10565,f10562]) ).
thf(f27791,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_235 ),
inference(constrained_superposition,[],[f33,f15531]) ).
thf(f27792,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f27791]) ).
thf(f27793,plain,
( spl0_11
| spl0_282
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f27792,f9219,f10562,f132]) ).
thf(f27800,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_313 ),
inference(constrained_superposition,[],[f13298,f29]) ).
thf(f27803,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_313 ),
inference(trivial_inequality_removal,[],[f27800]) ).
thf(f27805,plain,
( spl0_285
| spl0_287
| spl0_313 ),
inference(avatar_split_clause,[],[f27803,f13297,f10640,f10634]) ).
thf(f27806,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f33,f10635]) ).
thf(f27807,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f27806]) ).
thf(f27808,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_273 ),
inference(constrained_superposition,[],[f33,f10383]) ).
thf(f27809,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_273 ),
inference(trivial_inequality_removal,[],[f27808]) ).
thf(f27810,plain,
( spl0_44
| spl0_342
| ~ spl0_273 ),
inference(avatar_split_clause,[],[f27809,f10382,f15960,f675]) ).
thf(f27813,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_276 ),
inference(constrained_superposition,[],[f10411,f38]) ).
thf(f27814,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_276 ),
inference(constrained_superposition,[],[f10411,f29]) ).
thf(f27817,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_276 ),
inference(trivial_inequality_removal,[],[f27814]) ).
thf(f27818,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_276 ),
inference(trivial_inequality_removal,[],[f27813]) ).
thf(f27820,plain,
( spl0_339
| spl0_341
| spl0_276 ),
inference(avatar_split_clause,[],[f27817,f10410,f15570,f15528]) ).
thf(f27821,plain,
( spl0_264
| spl0_339
| spl0_276 ),
inference(avatar_split_clause,[],[f27818,f10410,f15528,f10037]) ).
thf(f27822,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_339 ),
inference(constrained_superposition,[],[f33,f15529]) ).
thf(f27823,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f27822]) ).
thf(f27824,plain,
( spl0_283
| spl0_342
| ~ spl0_339 ),
inference(avatar_split_clause,[],[f27823,f15528,f15960,f10565]) ).
thf(f27825,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_376 ),
inference(constrained_superposition,[],[f33,f18088]) ).
thf(f27826,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f27825]) ).
thf(f27841,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_321 ),
inference(constrained_superposition,[],[f168,f13344]) ).
thf(f27845,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f27841]) ).
thf(f27863,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f929,f9214]) ).
thf(f27865,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f335,f9214]) ).
thf(f27867,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f56,f9214]) ).
thf(f27872,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f168,f9214]) ).
thf(f27879,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f27865]) ).
thf(f27880,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f27867]) ).
thf(f27884,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f27872]) ).
thf(f27888,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f27863]) ).
thf(f27916,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_137
| ~ spl0_460 ),
inference(constrained_superposition,[],[f27165,f6579]) ).
thf(f27921,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_137
| ~ spl0_460 ),
inference(trivial_inequality_removal,[],[f27916]) ).
thf(f27929,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_137
| ~ spl0_147
| ~ spl0_460 ),
inference(forward_subsumption_resolution,[],[f27921,f6615]) ).
thf(f27934,plain,
( $false
| spl0_36
| ~ spl0_137
| ~ spl0_147
| ~ spl0_460 ),
inference(forward_subsumption_resolution,[],[f27929,f4184]) ).
thf(f27935,plain,
( spl0_36
| ~ spl0_137
| ~ spl0_147
| ~ spl0_460 ),
inference(avatar_contradiction_clause,[],[f27934]) ).
thf(f27941,plain,
( spl0_12
| spl0_405
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f27826,f18087,f18509,f144]) ).
thf(f27942,plain,
( spl0_338
| spl0_171
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f27880,f9213,f6809,f15520]) ).
thf(f27943,plain,
( spl0_144
| spl0_339
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f27888,f9213,f15528,f6603]) ).
thf(f27944,plain,
( spl0_284
| spl0_12
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f27807,f10634,f144,f10579]) ).
thf(f27959,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_188 ),
inference(constrained_superposition,[],[f33,f7395]) ).
thf(f27960,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f27959]) ).
thf(f27961,plain,
( spl0_335
| spl0_44
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f27960,f7394,f675,f15383]) ).
thf(f27972,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_277 ),
inference(constrained_superposition,[],[f10414,f29]) ).
thf(f27973,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_277 ),
inference(trivial_inequality_removal,[],[f27972]) ).
thf(f27976,plain,
( spl0_287
| spl0_315
| spl0_277 ),
inference(avatar_split_clause,[],[f27973,f10413,f13310,f10640]) ).
thf(f27983,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_385 ),
inference(constrained_superposition,[],[f33,f18122]) ).
thf(f27984,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ z )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_385 ),
inference(trivial_inequality_removal,[],[f27983]) ).
thf(f27985,plain,
( spl0_11
| spl0_389
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f27984,f18121,f18152,f132]) ).
thf(f27988,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_315 ),
inference(constrained_superposition,[],[f33,f13311]) ).
thf(f27989,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f27988]) ).
thf(f27992,plain,
( spl0_283
| spl0_284
| ~ spl0_315 ),
inference(avatar_split_clause,[],[f27989,f13310,f10579,f10565]) ).
thf(f28004,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_152
| ~ spl0_350 ),
inference(constrained_superposition,[],[f6654,f16418]) ).
thf(f28006,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_350 ),
inference(constrained_superposition,[],[f33,f16418]) ).
thf(f28007,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f28006]) ).
thf(f28008,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_152
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f28004]) ).
thf(f28010,plain,
( spl0_334
| spl0_151
| ~ spl0_350 ),
inference(avatar_split_clause,[],[f28007,f16417,f6650,f14430]) ).
thf(f28011,plain,
( $false
| ~ spl0_152
| ~ spl0_188
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f28008,f7395]) ).
thf(f28012,plain,
( ~ spl0_152
| ~ spl0_188
| ~ spl0_350 ),
inference(avatar_contradiction_clause,[],[f28011]) ).
thf(f28016,plain,
( spl0_146
| ~ spl0_313
| spl0_312
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f27884,f9213,f13294,f13297,f6610]) ).
thf(f28017,plain,
( spl0_315
| spl0_183
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f27879,f9213,f7181,f13310]) ).
thf(f28022,plain,
( spl0_285
| ~ spl0_166
| spl0_169
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f27845,f13343,f6799,f6787,f10634]) ).
thf(f28023,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f33,f6611]) ).
thf(f28024,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f28023]) ).
thf(f28025,plain,
( spl0_195
| spl0_12
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f28024,f6610,f144,f7450]) ).
thf(f28036,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f33,f7167]) ).
thf(f28039,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f28036]) ).
thf(f28040,plain,
( spl0_151
| spl0_195
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f28039,f7159,f7450,f6650]) ).
thf(f28102,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_390 ),
inference(constrained_superposition,[],[f3254,f18169]) ).
thf(f28194,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_390 ),
inference(forward_subsumption_resolution,[],[f28102,f30]) ).
thf(f28220,plain,
( $false
| ~ spl0_390 ),
inference(forward_subsumption_resolution,[],[f28194,f32]) ).
thf(f28221,plain,
~ spl0_390,
inference(avatar_contradiction_clause,[],[f28220]) ).
thf(f28226,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f335,f9188]) ).
thf(f28228,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f56,f9188]) ).
thf(f28241,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f28226]) ).
thf(f28244,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f28228]) ).
thf(f28250,plain,
( spl0_307
| spl0_183
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f28241,f9187,f7181,f13249]) ).
thf(f28251,plain,
( spl0_333
| spl0_171
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f28244,f9187,f6809,f13462]) ).
thf(f28358,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ~ spl0_15
| ~ spl0_318 ),
inference(constrained_superposition,[],[f199,f13334]) ).
thf(f28365,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_15
| ~ spl0_137 ),
inference(constrained_superposition,[],[f199,f6579]) ).
thf(f28368,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_15
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f28358]) ).
thf(f28376,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_15
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f28365]) ).
thf(f28378,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_15
| ~ spl0_318
| spl0_385 ),
inference(forward_subsumption_resolution,[],[f28368,f27706]) ).
thf(f28380,plain,
( $false
| ~ spl0_15
| ~ spl0_207
| ~ spl0_318
| spl0_385 ),
inference(forward_subsumption_resolution,[],[f28378,f7847]) ).
thf(f28381,plain,
( ~ spl0_15
| ~ spl0_207
| ~ spl0_318
| spl0_385 ),
inference(avatar_contradiction_clause,[],[f28380]) ).
thf(f28386,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ z )
= $true )
| ~ spl0_15
| ~ spl0_137
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f28376,f6611]) ).
thf(f28387,plain,
( spl0_26
| ~ spl0_15
| ~ spl0_137
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f28386,f6610,f6578,f198,f493]) ).
thf(f28391,plain,
( ( $true != $true )
| ~ spl0_17
| spl0_230 ),
inference(constrained_superposition,[],[f9191,f222]) ).
thf(f28394,plain,
( $false
| ~ spl0_17
| spl0_230 ),
inference(trivial_inequality_removal,[],[f28391]) ).
thf(f28395,plain,
( ~ spl0_17
| spl0_230 ),
inference(avatar_contradiction_clause,[],[f28394]) ).
thf(f28396,plain,
( ( $true != $true )
| ~ spl0_18
| spl0_285 ),
inference(constrained_superposition,[],[f26724,f275]) ).
thf(f28402,plain,
( $false
| ~ spl0_18
| spl0_285 ),
inference(trivial_inequality_removal,[],[f28396]) ).
thf(f28403,plain,
( ~ spl0_18
| spl0_285 ),
inference(avatar_contradiction_clause,[],[f28402]) ).
thf(f28408,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_49
| ~ spl0_177 ),
inference(constrained_superposition,[],[f763,f11214]) ).
thf(f28414,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_49
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f28408]) ).
thf(f28422,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_12
| ~ spl0_49
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f28414,f145]) ).
thf(f28424,plain,
( ~ spl0_9
| spl0_413
| ~ spl0_12
| ~ spl0_49
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f28422,f7145,f762,f144,f18927,f123]) ).
thf(f28441,plain,
( $false
| ~ spl0_17
| spl0_235 ),
inference(forward_subsumption_resolution,[],[f9220,f222]) ).
thf(f28442,plain,
( ~ spl0_17
| spl0_235 ),
inference(avatar_contradiction_clause,[],[f28441]) ).
thf(f28468,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_274 ),
inference(constrained_superposition,[],[f10391,f29]) ).
thf(f28469,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_274 ),
inference(trivial_inequality_removal,[],[f28468]) ).
thf(f28473,plain,
( spl0_352
| spl0_263
| spl0_274 ),
inference(avatar_split_clause,[],[f28469,f10390,f10034,f16883]) ).
thf(f28486,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_344 ),
inference(constrained_superposition,[],[f33,f16387]) ).
thf(f28488,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f28486]) ).
thf(f28489,plain,
( spl0_151
| spl0_337
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f28488,f16386,f15449,f6650]) ).
thf(f28554,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_229
| ~ spl0_413 ),
inference(constrained_superposition,[],[f18928,f9188]) ).
thf(f28567,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_229
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f28554]) ).
thf(f28568,plain,
( ~ spl0_191
| ~ spl0_275
| ~ spl0_229
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f28567,f18927,f9187,f10393,f7405]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f68]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f108]) ).
cnf(s6,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f139]) ).
cnf(s9,plain,
( spl0_4
| ~ spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f182]) ).
cnf(s10,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f187]) ).
cnf(s13,plain,
( ~ spl0_8
| spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f200]) ).
cnf(s14,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f218]) ).
cnf(s15,plain,
( ~ spl0_9
| ~ spl0_12
| spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f223]) ).
cnf(s19,plain,
( spl0_5
| spl0_22 ),
inference(sat_conversion,[],[f341]) ).
cnf(s22,plain,
( spl0_19
| spl0_25 ),
inference(sat_conversion,[],[f373]) ).
cnf(s25,plain,
( spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f512]) ).
cnf(s32,plain,
( ~ spl0_7
| ~ spl0_11 ),
inference(sat_conversion,[],[f551]) ).
cnf(s33,plain,
( spl0_26
| spl0_35 ),
inference(sat_conversion,[],[f556]) ).
cnf(s38,plain,
( spl0_32
| ~ spl0_41
| spl0_42 ),
inference(sat_conversion,[],[f643]) ).
cnf(s39,plain,
( ~ spl0_32
| spl0_43
| spl0_44 ),
inference(sat_conversion,[],[f677]) ).
cnf(s40,plain,
( spl0_41
| spl0_45
| spl0_46 ),
inference(sat_conversion,[],[f691]) ).
cnf(s47,plain,
( spl0_7
| spl0_49 ),
inference(sat_conversion,[],[f764]) ).
cnf(s50,plain,
( spl0_36
| spl0_40 ),
inference(sat_conversion,[],[f768]) ).
cnf(s53,plain,
( ~ spl0_28
| spl0_44
| spl0_50 ),
inference(sat_conversion,[],[f838]) ).
cnf(s54,plain,
( spl0_45
| spl0_51 ),
inference(sat_conversion,[],[f941]) ).
cnf(s56,plain,
( spl0_30
| spl0_53 ),
inference(sat_conversion,[],[f949]) ).
cnf(s57,plain,
( ~ spl0_35
| spl0_54
| spl0_55 ),
inference(sat_conversion,[],[f956]) ).
cnf(s61,plain,
( ~ spl0_10
| ~ spl0_26
| ~ spl0_30 ),
inference(sat_conversion,[],[f983]) ).
cnf(s64,plain,
( ~ spl0_12
| ~ spl0_45 ),
inference(sat_conversion,[],[f999]) ).
cnf(s66,plain,
( ~ spl0_11
| ~ spl0_36 ),
inference(sat_conversion,[],[f1006]) ).
cnf(s67,plain,
( ~ spl0_11
| ~ spl0_14
| ~ spl0_26
| spl0_39 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s75,plain,
( ~ spl0_11
| ~ spl0_40
| spl0_54
| spl0_65 ),
inference(sat_conversion,[],[f1053]) ).
cnf(s79,plain,
( spl0_36
| spl0_66 ),
inference(sat_conversion,[],[f1060]) ).
cnf(s83,plain,
( spl0_28
| ~ spl0_40
| spl0_54 ),
inference(sat_conversion,[],[f1065]) ).
cnf(s86,plain,
( ~ spl0_14
| spl0_36
| spl0_39
| ~ spl0_42
| spl0_64 ),
inference(sat_conversion,[],[f1068]) ).
cnf(s88,plain,
( ~ spl0_14
| ~ spl0_30
| spl0_36
| spl0_39 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s90,plain,
( ~ spl0_14
| ~ spl0_26
| spl0_36
| spl0_39 ),
inference(sat_conversion,[],[f1073]) ).
cnf(s91,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_36
| ~ spl0_38 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s92,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_36
| ~ spl0_38
| spl0_46 ),
inference(sat_conversion,[],[f1075]) ).
cnf(s94,plain,
( ~ spl0_9
| spl0_14
| spl0_24 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s98,plain,
( ~ spl0_5
| ~ spl0_12 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s99,plain,
( ~ spl0_26
| ~ spl0_44 ),
inference(sat_conversion,[],[f1116]) ).
cnf(s102,plain,
( ~ spl0_42
| ~ spl0_44
| spl0_64 ),
inference(sat_conversion,[],[f1122]) ).
cnf(s103,plain,
( ~ spl0_42
| ~ spl0_44
| spl0_47 ),
inference(sat_conversion,[],[f1123]) ).
cnf(s106,plain,
( ~ spl0_1
| spl0_36
| ~ spl0_44 ),
inference(sat_conversion,[],[f1126]) ).
cnf(s110,plain,
( ~ spl0_40
| ~ spl0_66
| spl0_71 ),
inference(sat_conversion,[],[f1245]) ).
cnf(s114,plain,
( spl0_75
| spl0_76 ),
inference(sat_conversion,[],[f1318]) ).
cnf(s116,plain,
( spl0_30
| ~ spl0_41
| ~ spl0_75
| spl0_79 ),
inference(sat_conversion,[],[f1341]) ).
cnf(s177,plain,
( ~ spl0_1
| spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f2153]) ).
cnf(s180,plain,
( spl0_7
| spl0_36
| ~ spl0_79 ),
inference(sat_conversion,[],[f2161]) ).
cnf(s187,plain,
( spl0_44
| ~ spl0_76
| spl0_100 ),
inference(sat_conversion,[],[f2321]) ).
cnf(s252,plain,
( ~ spl0_5
| ~ spl0_38
| ~ spl0_45 ),
inference(sat_conversion,[],[f3347]) ).
cnf(s253,plain,
( ~ spl0_5
| ~ spl0_21
| spl0_36
| ~ spl0_45 ),
inference(sat_conversion,[],[f3348]) ).
cnf(s254,plain,
( ~ spl0_25
| spl0_30
| spl0_45 ),
inference(sat_conversion,[],[f3373]) ).
cnf(s256,plain,
( ~ spl0_5
| ~ spl0_25
| spl0_30
| ~ spl0_38 ),
inference(sat_conversion,[],[f3378]) ).
cnf(s336,plain,
( ~ spl0_24
| ~ spl0_32
| ~ spl0_38
| spl0_118 ),
inference(sat_conversion,[],[f4661]) ).
cnf(s484,plain,
( ~ spl0_26
| ~ spl0_131
| ~ spl0_134 ),
inference(sat_conversion,[],[f6648]) ).
cnf(s506,plain,
( spl0_131
| spl0_141
| spl0_151 ),
inference(sat_conversion,[],[f6825]) ).
cnf(s509,plain,
( ~ spl0_24
| ~ spl0_45
| spl0_147
| ~ spl0_152 ),
inference(sat_conversion,[],[f6938]) ).
cnf(s512,plain,
( spl0_143
| spl0_156
| ~ spl0_174 ),
inference(sat_conversion,[],[f7043]) ).
cnf(s513,plain,
( ~ spl0_143
| spl0_151
| spl0_175 ),
inference(sat_conversion,[],[f7079]) ).
cnf(s514,plain,
( spl0_134
| spl0_174 ),
inference(sat_conversion,[],[f7090]) ).
cnf(s516,plain,
( spl0_134
| spl0_153
| spl0_174 ),
inference(sat_conversion,[],[f7093]) ).
cnf(s539,plain,
( ~ spl0_26
| ~ spl0_42
| ~ spl0_131
| spl0_153
| spl0_179 ),
inference(sat_conversion,[],[f7212]) ).
cnf(s568,plain,
~ spl0_46,
inference(sat_conversion,[],[f7465]) ).
cnf(s578,plain,
( spl0_30
| spl0_46
| spl0_104 ),
inference(sat_conversion,[],[f7486]) ).
cnf(s591,plain,
( spl0_45
| ~ spl0_88
| spl0_110 ),
inference(sat_conversion,[],[f7594]) ).
cnf(s594,plain,
( spl0_7
| ~ spl0_19
| spl0_198 ),
inference(sat_conversion,[],[f7606]) ).
cnf(s595,plain,
( ~ spl0_5
| ~ spl0_131
| ~ spl0_179 ),
inference(sat_conversion,[],[f7607]) ).
cnf(s600,plain,
( spl0_5
| ~ spl0_13
| ~ spl0_19
| spl0_58 ),
inference(sat_conversion,[],[f7618]) ).
cnf(s602,plain,
( ~ spl0_7
| spl0_141
| ~ spl0_195 ),
inference(sat_conversion,[],[f7623]) ).
cnf(s609,plain,
( ~ spl0_19
| spl0_30
| spl0_45
| spl0_204 ),
inference(sat_conversion,[],[f7644]) ).
cnf(s610,plain,
( ~ spl0_51
| ~ spl0_104
| spl0_205 ),
inference(sat_conversion,[],[f7648]) ).
cnf(s658,plain,
~ spl0_154,
inference(sat_conversion,[],[f7958]) ).
cnf(s664,plain,
( ~ spl0_10
| ~ spl0_146
| ~ spl0_147 ),
inference(sat_conversion,[],[f7986]) ).
cnf(s671,plain,
( ~ spl0_41
| spl0_134
| ~ spl0_183
| spl0_213 ),
inference(sat_conversion,[],[f8129]) ).
cnf(s672,plain,
( ~ spl0_41
| ~ spl0_144
| spl0_179
| spl0_214 ),
inference(sat_conversion,[],[f8169]) ).
cnf(s679,plain,
( ~ spl0_32
| ~ spl0_39
| spl0_215 ),
inference(sat_conversion,[],[f8281]) ).
cnf(s681,plain,
( ~ spl0_4
| spl0_30
| spl0_36 ),
inference(sat_conversion,[],[f8284]) ).
cnf(s684,plain,
( ~ spl0_32
| ~ spl0_38
| spl0_216 ),
inference(sat_conversion,[],[f8294]) ).
cnf(s692,plain,
( ~ spl0_40
| ~ spl0_144
| spl0_222
| spl0_223 ),
inference(sat_conversion,[],[f8316]) ).
cnf(s693,plain,
( ~ spl0_1
| spl0_147
| spl0_222 ),
inference(sat_conversion,[],[f8317]) ).
cnf(s694,plain,
( ~ spl0_13
| ~ spl0_40
| ~ spl0_213
| spl0_222 ),
inference(sat_conversion,[],[f8318]) ).
cnf(s707,plain,
( ~ spl0_2
| ~ spl0_160
| spl0_222
| spl0_225 ),
inference(sat_conversion,[],[f8461]) ).
cnf(s710,plain,
( spl0_147
| spl0_160 ),
inference(sat_conversion,[],[f8471]) ).
cnf(s719,plain,
( spl0_12
| spl0_15
| ~ spl0_197 ),
inference(sat_conversion,[],[f8554]) ).
cnf(s737,plain,
( ~ spl0_10
| ~ spl0_38
| spl0_82
| ~ spl0_203 ),
inference(sat_conversion,[],[f8724]) ).
cnf(s780,plain,
( spl0_146
| spl0_166 ),
inference(sat_conversion,[],[f9882]) ).
cnf(s781,plain,
( spl0_146
| spl0_154
| spl0_166 ),
inference(sat_conversion,[],[f9885]) ).
cnf(s791,plain,
( ~ spl0_141
| spl0_154
| ~ spl0_166
| spl0_179
| ~ spl0_198 ),
inference(sat_conversion,[],[f9977]) ).
cnf(s800,plain,
( spl0_191
| spl0_261
| spl0_262 ),
inference(sat_conversion,[],[f10020]) ).
cnf(s802,plain,
( ~ spl0_203
| ~ spl0_261
| spl0_263
| spl0_264 ),
inference(sat_conversion,[],[f10039]) ).
cnf(s807,plain,
( ~ spl0_4
| ~ spl0_10
| spl0_260 ),
inference(sat_conversion,[],[f10098]) ).
cnf(s819,plain,
( ~ spl0_19
| spl0_154
| ~ spl0_166
| spl0_179
| spl0_258 ),
inference(sat_conversion,[],[f10138]) ).
cnf(s822,plain,
( ~ spl0_36
| ~ spl0_152
| ~ spl0_222 ),
inference(sat_conversion,[],[f10154]) ).
cnf(s823,plain,
( ~ spl0_7
| ~ spl0_195
| ~ spl0_222 ),
inference(sat_conversion,[],[f10156]) ).
cnf(s824,plain,
( ~ spl0_36
| ~ spl0_43
| spl0_179
| ~ spl0_222 ),
inference(sat_conversion,[],[f10157]) ).
cnf(s832,plain,
( spl0_137
| ~ spl0_166
| ~ spl0_204 ),
inference(sat_conversion,[],[f10172]) ).
cnf(s835,plain,
( ~ spl0_151
| spl0_153
| spl0_154
| ~ spl0_203 ),
inference(sat_conversion,[],[f10183]) ).
cnf(s867,plain,
~ spl0_153,
inference(sat_conversion,[],[f10476]) ).
cnf(s883,plain,
( ~ spl0_5
| ~ spl0_21
| ~ spl0_179
| spl0_222 ),
inference(sat_conversion,[],[f10520]) ).
cnf(s886,plain,
( spl0_244
| spl0_282
| spl0_283 ),
inference(sat_conversion,[],[f10567]) ).
cnf(s971,plain,
( ~ spl0_14
| ~ spl0_141
| ~ spl0_177 ),
inference(sat_conversion,[],[f11321]) ).
cnf(s987,plain,
( ~ spl0_38
| ~ spl0_137
| ~ spl0_147 ),
inference(sat_conversion,[],[f11543]) ).
cnf(s1113,plain,
( spl0_154
| spl0_316
| spl0_317 ),
inference(sat_conversion,[],[f13331]) ).
cnf(s1114,plain,
( spl0_154
| spl0_318
| spl0_319 ),
inference(sat_conversion,[],[f13338]) ).
cnf(s1115,plain,
( spl0_154
| spl0_320
| spl0_321 ),
inference(sat_conversion,[],[f13345]) ).
cnf(s1116,plain,
( spl0_153
| spl0_322
| spl0_323 ),
inference(sat_conversion,[],[f13361]) ).
cnf(s1117,plain,
( spl0_153
| spl0_324
| spl0_325 ),
inference(sat_conversion,[],[f13368]) ).
cnf(s1118,plain,
( spl0_153
| spl0_326
| spl0_327 ),
inference(sat_conversion,[],[f13375]) ).
cnf(s1119,plain,
( spl0_153
| spl0_328
| spl0_329 ),
inference(sat_conversion,[],[f13382]) ).
cnf(s1120,plain,
( spl0_153
| spl0_330
| spl0_331 ),
inference(sat_conversion,[],[f13389]) ).
cnf(s1125,plain,
( ~ spl0_2
| ~ spl0_160
| ~ spl0_190
| ~ spl0_329
| spl0_333 ),
inference(sat_conversion,[],[f13464]) ).
cnf(s1127,plain,
( ~ spl0_19
| spl0_146
| spl0_154
| spl0_207
| spl0_264
| spl0_307
| ~ spl0_329 ),
inference(sat_conversion,[],[f13468]) ).
cnf(s1129,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_195
| ~ spl0_203
| spl0_263
| spl0_264
| ~ spl0_329 ),
inference(sat_conversion,[],[f13471]) ).
cnf(s1177,plain,
~ spl0_263,
inference(sat_conversion,[],[f13839]) ).
cnf(s1186,plain,
( ~ spl0_216
| ~ spl0_230
| spl0_307 ),
inference(sat_conversion,[],[f13870]) ).
cnf(s1187,plain,
( ~ spl0_82
| ~ spl0_230
| spl0_263
| spl0_264 ),
inference(sat_conversion,[],[f13871]) ).
cnf(s1250,plain,
~ spl0_264,
inference(sat_conversion,[],[f14308]) ).
cnf(s1275,plain,
( ~ spl0_14
| ~ spl0_28
| ~ spl0_146
| ~ spl0_328
| spl0_333 ),
inference(sat_conversion,[],[f14422]) ).
cnf(s1277,plain,
( ~ spl0_50
| ~ spl0_137
| ~ spl0_328
| spl0_333 ),
inference(sat_conversion,[],[f14434]) ).
cnf(s1279,plain,
( ~ spl0_43
| ~ spl0_137
| spl0_307
| ~ spl0_328 ),
inference(sat_conversion,[],[f14437]) ).
cnf(s1280,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_195
| ~ spl0_203
| spl0_263
| spl0_264
| ~ spl0_328 ),
inference(sat_conversion,[],[f14438]) ).
cnf(s1283,plain,
( ~ spl0_13
| ~ spl0_22
| ~ spl0_166
| spl0_179
| spl0_259 ),
inference(sat_conversion,[],[f14443]) ).
cnf(s1284,plain,
( ~ spl0_13
| spl0_14
| ~ spl0_166
| spl0_222 ),
inference(sat_conversion,[],[f14444]) ).
cnf(s1285,plain,
( ~ spl0_19
| ~ spl0_166
| spl0_179
| spl0_259 ),
inference(sat_conversion,[],[f14445]) ).
cnf(s1346,plain,
( ~ spl0_19
| ~ spl0_166
| ~ spl0_177
| spl0_259 ),
inference(sat_conversion,[],[f15105]) ).
cnf(s1374,plain,
( ~ spl0_100
| ~ spl0_137
| spl0_261
| ~ spl0_328
| spl0_335 ),
inference(sat_conversion,[],[f15385]) ).
cnf(s1376,plain,
( ~ spl0_5
| ~ spl0_262
| ~ spl0_307 ),
inference(sat_conversion,[],[f15410]) ).
cnf(s1382,plain,
( ~ spl0_43
| ~ spl0_137
| spl0_315
| ~ spl0_320 ),
inference(sat_conversion,[],[f15454]) ).
cnf(s1384,plain,
( ~ spl0_244
| ~ spl0_257
| ~ spl0_313
| ~ spl0_321 ),
inference(sat_conversion,[],[f15517]) ).
cnf(s1389,plain,
( ~ spl0_166
| spl0_169
| spl0_285
| ~ spl0_321 ),
inference(sat_conversion,[],[f15541]) ).
cnf(s1391,plain,
( ~ spl0_19
| spl0_146
| spl0_154
| spl0_285
| spl0_287
| spl0_315
| ~ spl0_321 ),
inference(sat_conversion,[],[f15545]) ).
cnf(s1392,plain,
( ~ spl0_19
| ~ spl0_166
| spl0_285
| spl0_315
| ~ spl0_321 ),
inference(sat_conversion,[],[f15546]) ).
cnf(s1393,plain,
( ~ spl0_2
| spl0_147
| spl0_235
| ~ spl0_321
| spl0_338 ),
inference(sat_conversion,[],[f15548]) ).
cnf(s1394,plain,
( spl0_235
| spl0_272 ),
inference(sat_conversion,[],[f15554]) ).
cnf(s1398,plain,
( ~ spl0_82
| ~ spl0_235
| spl0_287
| spl0_341 ),
inference(sat_conversion,[],[f15572]) ).
cnf(s1401,plain,
( ~ spl0_203
| ~ spl0_283
| spl0_287
| spl0_341 ),
inference(sat_conversion,[],[f15585]) ).
cnf(s1443,plain,
~ spl0_287,
inference(sat_conversion,[],[f15921]) ).
cnf(s1461,plain,
( spl0_285
| spl0_313 ),
inference(sat_conversion,[],[f15945]) ).
cnf(s1507,plain,
~ spl0_341,
inference(sat_conversion,[],[f16264]) ).
cnf(s1514,plain,
( ~ spl0_55
| spl0_230
| ~ spl0_326
| spl0_335 ),
inference(sat_conversion,[],[f16336]) ).
cnf(s1519,plain,
( ~ spl0_189
| spl0_210
| spl0_285
| ~ spl0_327 ),
inference(sat_conversion,[],[f16401]) ).
cnf(s1525,plain,
( ~ spl0_190
| spl0_194
| spl0_235
| ~ spl0_327 ),
inference(sat_conversion,[],[f16421]) ).
cnf(s1526,plain,
( ~ spl0_2
| spl0_230
| spl0_235
| ~ spl0_327
| spl0_338 ),
inference(sat_conversion,[],[f16425]) ).
cnf(s1532,plain,
( ~ spl0_55
| ~ spl0_188
| spl0_230
| spl0_335 ),
inference(sat_conversion,[],[f16461]) ).
cnf(s1538,plain,
( ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_188 ),
inference(sat_conversion,[],[f16691]) ).
cnf(s1540,plain,
( ~ spl0_2
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_160
| ~ spl0_188
| ~ spl0_225 ),
inference(sat_conversion,[],[f16693]) ).
cnf(s1560,plain,
( spl0_154
| spl0_188
| spl0_208 ),
inference(sat_conversion,[],[f16724]) ).
cnf(s1565,plain,
( spl0_229
| spl0_350 ),
inference(sat_conversion,[],[f16752]) ).
cnf(s1566,plain,
( spl0_46
| spl0_229
| spl0_350 ),
inference(sat_conversion,[],[f16754]) ).
cnf(s1571,plain,
( ~ spl0_55
| spl0_230
| spl0_335
| ~ spl0_350 ),
inference(sat_conversion,[],[f16779]) ).
cnf(s1572,plain,
( ~ spl0_152
| ~ spl0_203
| spl0_207
| spl0_263
| spl0_264
| ~ spl0_350 ),
inference(sat_conversion,[],[f16784]) ).
cnf(s1579,plain,
( ~ spl0_285
| ~ spl0_306
| ~ spl0_330 ),
inference(sat_conversion,[],[f16851]) ).
cnf(s1580,plain,
( ~ spl0_55
| spl0_235
| ~ spl0_330
| spl0_342 ),
inference(sat_conversion,[],[f16854]) ).
cnf(s1583,plain,
( ~ spl0_137
| ~ spl0_328
| ~ spl0_335 ),
inference(sat_conversion,[],[f16878]) ).
cnf(s1584,plain,
( ~ spl0_175
| ~ spl0_330
| ~ spl0_344
| spl0_352 ),
inference(sat_conversion,[],[f16886]) ).
cnf(s1585,plain,
( spl0_233
| spl0_344 ),
inference(sat_conversion,[],[f16905]) ).
cnf(s1593,plain,
( ~ spl0_2
| ~ spl0_36
| spl0_147
| ~ spl0_152
| spl0_235
| spl0_344 ),
inference(sat_conversion,[],[f17121]) ).
cnf(s1609,plain,
( ~ spl0_152
| ~ spl0_203
| spl0_285
| spl0_287
| spl0_341
| ~ spl0_344 ),
inference(sat_conversion,[],[f17153]) ).
cnf(s1613,plain,
( ~ spl0_233
| ~ spl0_259
| ~ spl0_313 ),
inference(sat_conversion,[],[f17230]) ).
cnf(s1614,plain,
( ~ spl0_214
| ~ spl0_233
| ~ spl0_276
| ~ spl0_277 ),
inference(sat_conversion,[],[f17231]) ).
cnf(s1616,plain,
( ~ spl0_166
| ~ spl0_233
| spl0_312
| ~ spl0_313 ),
inference(sat_conversion,[],[f17234]) ).
cnf(s1619,plain,
( ~ spl0_2
| ~ spl0_160
| spl0_222
| ~ spl0_233
| ~ spl0_272 ),
inference(sat_conversion,[],[f17242]) ).
cnf(s1620,plain,
( ~ spl0_19
| spl0_146
| spl0_179
| ~ spl0_233
| ~ spl0_313 ),
inference(sat_conversion,[],[f17246]) ).
cnf(s1625,plain,
( ~ spl0_71
| ~ spl0_272
| ~ spl0_314
| ~ spl0_331
| spl0_352 ),
inference(sat_conversion,[],[f17308]) ).
cnf(s1630,plain,
( ~ spl0_152
| spl0_279
| ~ spl0_314
| ~ spl0_331
| ~ spl0_350 ),
inference(sat_conversion,[],[f17324]) ).
cnf(s1632,plain,
( ~ spl0_2
| spl0_230
| spl0_235
| ~ spl0_331
| spl0_333 ),
inference(sat_conversion,[],[f17328]) ).
cnf(s1633,plain,
( ~ spl0_7
| ~ spl0_306
| ~ spl0_333 ),
inference(sat_conversion,[],[f17337]) ).
cnf(s1635,plain,
( ~ spl0_141
| ~ spl0_194
| spl0_350 ),
inference(sat_conversion,[],[f17339]) ).
cnf(s1646,plain,
( spl0_146
| ~ spl0_189
| spl0_210
| ~ spl0_229 ),
inference(sat_conversion,[],[f17439]) ).
cnf(s1647,plain,
( ~ spl0_19
| spl0_146
| spl0_179
| ~ spl0_189
| ~ spl0_229 ),
inference(sat_conversion,[],[f17443]) ).
cnf(s1648,plain,
( ~ spl0_19
| spl0_146
| spl0_154
| spl0_179
| spl0_207
| ~ spl0_229
| spl0_264 ),
inference(sat_conversion,[],[f17445]) ).
cnf(s1651,plain,
( ~ spl0_19
| spl0_30
| spl0_45
| spl0_46
| spl0_203 ),
inference(sat_conversion,[],[f17451]) ).
cnf(s1656,plain,
( ~ spl0_2
| ~ spl0_19
| spl0_30
| ~ spl0_36
| ~ spl0_38
| spl0_46
| spl0_147
| ~ spl0_152
| spl0_154
| spl0_203 ),
inference(sat_conversion,[],[f17460]) ).
cnf(s1660,plain,
( ~ spl0_7
| ~ spl0_36
| ~ spl0_39 ),
inference(sat_conversion,[],[f17499]) ).
cnf(s1662,plain,
( spl0_7
| spl0_222
| ~ spl0_258 ),
inference(sat_conversion,[],[f17502]) ).
cnf(s1666,plain,
( ~ spl0_151
| ~ spl0_320 ),
inference(sat_conversion,[],[f17520]) ).
cnf(s1667,plain,
( ~ spl0_137
| ~ spl0_151 ),
inference(sat_conversion,[],[f17522]) ).
cnf(s1668,plain,
( ~ spl0_151
| ~ spl0_328 ),
inference(sat_conversion,[],[f17525]) ).
cnf(s1670,plain,
( spl0_154
| spl0_177
| spl0_179 ),
inference(sat_conversion,[],[f17534]) ).
cnf(s1681,plain,
( ~ spl0_152
| spl0_314
| ~ spl0_344 ),
inference(sat_conversion,[],[f17580]) ).
cnf(s1682,plain,
( ~ spl0_195
| ~ spl0_285
| ~ spl0_344 ),
inference(sat_conversion,[],[f17597]) ).
cnf(s1683,plain,
( ~ spl0_30
| ~ spl0_134
| ~ spl0_195 ),
inference(sat_conversion,[],[f17599]) ).
cnf(s1684,plain,
( ~ spl0_10
| ~ spl0_235
| ~ spl0_285 ),
inference(sat_conversion,[],[f17600]) ).
cnf(s1687,plain,
( ~ spl0_44
| ~ spl0_339 ),
inference(sat_conversion,[],[f17609]) ).
cnf(s1688,plain,
( ~ spl0_30
| ~ spl0_44 ),
inference(sat_conversion,[],[f17611]) ).
cnf(s1689,plain,
( ~ spl0_54
| ~ spl0_141
| ~ spl0_174 ),
inference(sat_conversion,[],[f17661]) ).
cnf(s1692,plain,
( ~ spl0_41
| spl0_137
| ~ spl0_169 ),
inference(sat_conversion,[],[f17672]) ).
cnf(s1693,plain,
( ~ spl0_2
| ~ spl0_35
| ~ spl0_160
| ~ spl0_174
| spl0_222 ),
inference(sat_conversion,[],[f17673]) ).
cnf(s1694,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_30
| spl0_147
| ~ spl0_174
| spl0_222 ),
inference(sat_conversion,[],[f17674]) ).
cnf(s1696,plain,
( spl0_141
| spl0_222 ),
inference(sat_conversion,[],[f17683]) ).
cnf(s1698,plain,
( ~ spl0_146
| ~ spl0_151 ),
inference(sat_conversion,[],[f17692]) ).
cnf(s1699,plain,
( ~ spl0_42
| ~ spl0_174
| ~ spl0_177 ),
inference(sat_conversion,[],[f17693]) ).
cnf(s1705,plain,
( ~ spl0_35
| spl0_134
| ~ spl0_171
| spl0_223 ),
inference(sat_conversion,[],[f17705]) ).
cnf(s1706,plain,
( ~ spl0_35
| ~ spl0_171
| ~ spl0_174
| spl0_223 ),
inference(sat_conversion,[],[f17706]) ).
cnf(s1708,plain,
( ~ spl0_2
| spl0_26
| spl0_147
| ~ spl0_174
| spl0_222 ),
inference(sat_conversion,[],[f17711]) ).
cnf(s1710,plain,
( ~ spl0_110
| spl0_137
| ~ spl0_141
| ~ spl0_177 ),
inference(sat_conversion,[],[f17777]) ).
cnf(s1728,plain,
( ~ spl0_13
| ~ spl0_195
| ~ spl0_271
| ~ spl0_344 ),
inference(sat_conversion,[],[f17947]) ).
cnf(s1729,plain,
( ~ spl0_26
| ~ spl0_282
| ~ spl0_339 ),
inference(sat_conversion,[],[f17961]) ).
cnf(s1730,plain,
( ~ spl0_5
| ~ spl0_282
| ~ spl0_315 ),
inference(sat_conversion,[],[f17963]) ).
cnf(s1734,plain,
( ~ spl0_41
| spl0_273
| ~ spl0_312 ),
inference(sat_conversion,[],[f18001]) ).
cnf(s1735,plain,
( ~ spl0_146
| ~ spl0_284
| ~ spl0_320 ),
inference(sat_conversion,[],[f18017]) ).
cnf(s1745,plain,
( ~ spl0_205
| ~ spl0_316
| spl0_352
| ~ spl0_383
| ~ spl0_384 ),
inference(sat_conversion,[],[f18119]) ).
cnf(s1749,plain,
( spl0_374
| spl0_385 ),
inference(sat_conversion,[],[f18139]) ).
cnf(s1755,plain,
( spl0_376
| spl0_380 ),
inference(sat_conversion,[],[f18166]) ).
cnf(s1756,plain,
( spl0_376
| spl0_380
| spl0_390 ),
inference(sat_conversion,[],[f18170]) ).
cnf(s1759,plain,
( spl0_377
| spl0_384 ),
inference(sat_conversion,[],[f18180]) ).
cnf(s1763,plain,
( spl0_367
| spl0_369 ),
inference(sat_conversion,[],[f18194]) ).
cnf(s1777,plain,
( ~ spl0_208
| spl0_209
| ~ spl0_319
| spl0_369 ),
inference(sat_conversion,[],[f18276]) ).
cnf(s1781,plain,
( ~ spl0_330
| ~ spl0_334
| ~ spl0_344 ),
inference(sat_conversion,[],[f18300]) ).
cnf(s1786,plain,
( spl0_273
| spl0_314 ),
inference(sat_conversion,[],[f18352]) ).
cnf(s1787,plain,
( spl0_264
| spl0_273
| spl0_314 ),
inference(sat_conversion,[],[f18353]) ).
cnf(s1793,plain,
( ~ spl0_195
| spl0_312
| ~ spl0_313
| ~ spl0_331
| ~ spl0_350 ),
inference(sat_conversion,[],[f18418]) ).
cnf(s1811,plain,
( ~ spl0_141
| spl0_381
| ~ spl0_388 ),
inference(sat_conversion,[],[f18550]) ).
cnf(s1813,plain,
( ~ spl0_275
| ~ spl0_312
| ~ spl0_331 ),
inference(sat_conversion,[],[f18575]) ).
cnf(s1814,plain,
( spl0_275
| spl0_307 ),
inference(sat_conversion,[],[f18582]) ).
cnf(s1821,plain,
( spl0_191
| spl0_333 ),
inference(sat_conversion,[],[f18598]) ).
cnf(s1822,plain,
( ~ spl0_205
| ~ spl0_276
| ~ spl0_277
| ~ spl0_331
| spl0_352 ),
inference(sat_conversion,[],[f18599]) ).
cnf(s1825,plain,
( ~ spl0_35
| spl0_147
| ~ spl0_156 ),
inference(sat_conversion,[],[f18603]) ).
cnf(s1826,plain,
( ~ spl0_9
| ~ spl0_183
| spl0_193
| spl0_222 ),
inference(sat_conversion,[],[f18606]) ).
cnf(s1827,plain,
( ~ spl0_9
| spl0_235
| ~ spl0_312 ),
inference(sat_conversion,[],[f18607]) ).
cnf(s1836,plain,
( ~ spl0_44
| spl0_383 ),
inference(sat_conversion,[],[f18627]) ).
cnf(s1837,plain,
( ~ spl0_44
| ~ spl0_352 ),
inference(sat_conversion,[],[f18629]) ).
cnf(s1838,plain,
( spl0_190
| spl0_230 ),
inference(sat_conversion,[],[f18638]) ).
cnf(s1840,plain,
( ~ spl0_261
| ~ spl0_326 ),
inference(sat_conversion,[],[f18644]) ).
cnf(s1842,plain,
( ~ spl0_230
| ~ spl0_261 ),
inference(sat_conversion,[],[f18649]) ).
cnf(s1846,plain,
( ~ spl0_44
| ~ spl0_134 ),
inference(sat_conversion,[],[f18677]) ).
cnf(s1848,plain,
( ~ spl0_2
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f18681]) ).
cnf(s1850,plain,
( ~ spl0_2
| spl0_5
| spl0_7
| spl0_197 ),
inference(sat_conversion,[],[f18685]) ).
cnf(s1857,plain,
( spl0_277
| spl0_315 ),
inference(sat_conversion,[],[f18758]) ).
cnf(s1858,plain,
( spl0_277
| spl0_287
| spl0_315 ),
inference(sat_conversion,[],[f18760]) ).
cnf(s1860,plain,
( ~ spl0_39
| ~ spl0_137
| ~ spl0_146 ),
inference(sat_conversion,[],[f18788]) ).
cnf(s1866,plain,
( ~ spl0_26
| ~ spl0_262
| ~ spl0_352 ),
inference(sat_conversion,[],[f18840]) ).
cnf(s1873,plain,
( ~ spl0_189
| ~ spl0_208
| ~ spl0_213
| ~ spl0_229 ),
inference(sat_conversion,[],[f18887]) ).
cnf(s1878,plain,
( ~ spl0_152
| ~ spl0_273
| ~ spl0_344 ),
inference(sat_conversion,[],[f18916]) ).
cnf(s1879,plain,
( ~ spl0_152
| ~ spl0_369
| ~ spl0_381 ),
inference(sat_conversion,[],[f18918]) ).
cnf(s1880,plain,
( ~ spl0_45
| ~ spl0_152
| ~ spl0_179 ),
inference(sat_conversion,[],[f18921]) ).
cnf(s1883,plain,
( ~ spl0_9
| ~ spl0_171
| spl0_179
| spl0_413 ),
inference(sat_conversion,[],[f18929]) ).
cnf(s1888,plain,
( ~ spl0_2
| spl0_5
| spl0_147
| ~ spl0_177
| spl0_222 ),
inference(sat_conversion,[],[f18971]) ).
cnf(s1892,plain,
( ~ spl0_156
| ~ spl0_274
| ~ spl0_329 ),
inference(sat_conversion,[],[f18998]) ).
cnf(s1894,plain,
( spl0_274
| spl0_352 ),
inference(sat_conversion,[],[f19010]) ).
cnf(s1897,plain,
( ~ spl0_38
| ~ spl0_188
| ~ spl0_230 ),
inference(sat_conversion,[],[f19019]) ).
cnf(s1906,plain,
( ~ spl0_210
| ~ spl0_277
| ~ spl0_327 ),
inference(sat_conversion,[],[f19083]) ).
cnf(s1907,plain,
( ~ spl0_283
| ~ spl0_344 ),
inference(sat_conversion,[],[f19088]) ).
cnf(s1916,plain,
( ~ spl0_10
| ~ spl0_207
| ~ spl0_230 ),
inference(sat_conversion,[],[f19138]) ).
cnf(s1922,plain,
( ~ spl0_235
| ~ spl0_260
| spl0_338 ),
inference(sat_conversion,[],[f19156]) ).
cnf(s1926,plain,
( ~ spl0_38
| ~ spl0_235
| ~ spl0_273 ),
inference(sat_conversion,[],[f19173]) ).
cnf(s1929,plain,
( ~ spl0_77
| ~ spl0_166
| ~ spl0_174
| spl0_213 ),
inference(sat_conversion,[],[f19187]) ).
cnf(s1930,plain,
( ~ spl0_146
| ~ spl0_306
| ~ spl0_328 ),
inference(sat_conversion,[],[f19188]) ).
cnf(s1935,plain,
( ~ spl0_31
| spl0_137
| ~ spl0_166
| spl0_169 ),
inference(sat_conversion,[],[f19229]) ).
cnf(s1938,plain,
( ~ spl0_2
| spl0_5
| spl0_7
| spl0_147
| ~ spl0_166 ),
inference(sat_conversion,[],[f19236]) ).
cnf(s1940,plain,
( ~ spl0_9
| ~ spl0_210
| spl0_230 ),
inference(sat_conversion,[],[f19238]) ).
cnf(s1945,plain,
( spl0_189
| ~ spl0_261 ),
inference(sat_conversion,[],[f19281]) ).
cnf(s1947,plain,
( ~ spl0_39
| ~ spl0_188
| ~ spl0_207 ),
inference(sat_conversion,[],[f19298]) ).
cnf(s1962,plain,
( ~ spl0_13
| ~ spl0_39
| ~ spl0_188
| ~ spl0_194 ),
inference(sat_conversion,[],[f19406]) ).
cnf(s1963,plain,
( ~ spl0_9
| spl0_147
| ~ spl0_169 ),
inference(sat_conversion,[],[f19422]) ).
cnf(s1969,plain,
( ~ spl0_36
| ~ spl0_333
| ~ spl0_335 ),
inference(sat_conversion,[],[f19485]) ).
cnf(s1970,plain,
( ~ spl0_45
| ~ spl0_307
| ~ spl0_335 ),
inference(sat_conversion,[],[f19487]) ).
cnf(s1980,plain,
( ~ spl0_235
| ~ spl0_262
| ~ spl0_330 ),
inference(sat_conversion,[],[f19555]) ).
cnf(s1988,plain,
( ~ spl0_195
| ~ spl0_316
| ~ spl0_350
| ~ spl0_380
| spl0_387 ),
inference(sat_conversion,[],[f19619]) ).
cnf(s1991,plain,
( ~ spl0_104
| ~ spl0_279
| spl0_285 ),
inference(sat_conversion,[],[f19644]) ).
cnf(s1992,plain,
( ~ spl0_174
| ~ spl0_279
| spl0_344 ),
inference(sat_conversion,[],[f19646]) ).
cnf(s1995,plain,
( ~ spl0_12
| ~ spl0_179 ),
inference(sat_conversion,[],[f19653]) ).
cnf(s1997,plain,
( ~ spl0_230
| ~ spl0_318
| ~ spl0_389 ),
inference(sat_conversion,[],[f19655]) ).
cnf(s1998,plain,
( ~ spl0_230
| ~ spl0_282
| ~ spl0_326 ),
inference(sat_conversion,[],[f19657]) ).
cnf(s2001,plain,
( ~ spl0_195
| ~ spl0_376
| ~ spl0_381 ),
inference(sat_conversion,[],[f19670]) ).
cnf(s2002,plain,
( spl0_230
| ~ spl0_316
| ~ spl0_374
| spl0_388 ),
inference(sat_conversion,[],[f19671]) ).
cnf(s2005,plain,
( ~ spl0_2
| spl0_230
| ~ spl0_316
| spl0_333
| spl0_385 ),
inference(sat_conversion,[],[f19676]) ).
cnf(s2031,plain,
( ~ spl0_156
| ~ spl0_276
| ~ spl0_321 ),
inference(sat_conversion,[],[f19864]) ).
cnf(s2033,plain,
( ~ spl0_11
| ~ spl0_333 ),
inference(sat_conversion,[],[f19871]) ).
cnf(s2036,plain,
( spl0_5
| ~ spl0_47 ),
inference(sat_conversion,[],[f19891]) ).
cnf(s2047,plain,
( ~ spl0_159
| ~ spl0_244
| ~ spl0_321 ),
inference(sat_conversion,[],[f19971]) ).
cnf(s2048,plain,
( ~ spl0_159
| ~ spl0_191
| ~ spl0_329 ),
inference(sat_conversion,[],[f20007]) ).
cnf(s2054,plain,
( ~ spl0_195
| ~ spl0_207
| ~ spl0_350 ),
inference(sat_conversion,[],[f20032]) ).
cnf(s2065,plain,
( ~ spl0_208
| spl0_209
| spl0_273
| ~ spl0_327 ),
inference(sat_conversion,[],[f20144]) ).
cnf(s2067,plain,
( ~ spl0_229
| ~ spl0_327
| spl0_344
| spl0_347 ),
inference(sat_conversion,[],[f20148]) ).
cnf(s2075,plain,
( ~ spl0_209
| ~ spl0_276
| ~ spl0_327 ),
inference(sat_conversion,[],[f20220]) ).
cnf(s2079,plain,
( ~ spl0_274
| ~ spl0_279
| ~ spl0_331 ),
inference(sat_conversion,[],[f20328]) ).
cnf(s2080,plain,
( ~ spl0_118
| ~ spl0_179
| ~ spl0_334 ),
inference(sat_conversion,[],[f20352]) ).
cnf(s2100,plain,
( ~ spl0_179
| ~ spl0_307
| ~ spl0_334 ),
inference(sat_conversion,[],[f20385]) ).
cnf(s2103,plain,
( ~ spl0_321
| ~ spl0_327
| ~ spl0_347 ),
inference(sat_conversion,[],[f20433]) ).
cnf(s2105,plain,
( ~ spl0_35
| ~ spl0_209
| spl0_230 ),
inference(sat_conversion,[],[f20439]) ).
cnf(s2107,plain,
( ~ spl0_104
| spl0_207
| ~ spl0_209 ),
inference(sat_conversion,[],[f20441]) ).
cnf(s2110,plain,
( ~ spl0_149
| spl0_188
| ~ spl0_347 ),
inference(sat_conversion,[],[f20447]) ).
cnf(s2113,plain,
( ~ spl0_160
| spl0_230
| ~ spl0_347 ),
inference(sat_conversion,[],[f20453]) ).
cnf(s2117,plain,
( ~ spl0_2
| spl0_147
| spl0_222
| ~ spl0_229
| spl0_230 ),
inference(sat_conversion,[],[f20463]) ).
cnf(s2120,plain,
( spl0_230
| spl0_271
| ~ spl0_272
| ~ spl0_331 ),
inference(sat_conversion,[],[f20470]) ).
cnf(s2121,plain,
( ~ spl0_35
| spl0_235
| ~ spl0_279 ),
inference(sat_conversion,[],[f20472]) ).
cnf(s2123,plain,
( spl0_147
| ~ spl0_233
| spl0_271
| ~ spl0_272 ),
inference(sat_conversion,[],[f20475]) ).
cnf(s2124,plain,
( ~ spl0_2
| spl0_147
| spl0_222
| ~ spl0_233
| spl0_235 ),
inference(sat_conversion,[],[f20477]) ).
cnf(s2125,plain,
( ~ spl0_12
| ~ spl0_377 ),
inference(sat_conversion,[],[f20480]) ).
cnf(s2133,plain,
( ~ spl0_13
| ~ spl0_194
| spl0_207 ),
inference(sat_conversion,[],[f20604]) ).
cnf(s2137,plain,
( ~ spl0_40
| spl0_369
| ~ spl0_388 ),
inference(sat_conversion,[],[f20682]) ).
cnf(s2140,plain,
( ~ spl0_222
| ~ spl0_333
| ~ spl0_334 ),
inference(sat_conversion,[],[f20706]) ).
cnf(s2141,plain,
( ~ spl0_134
| ~ spl0_334
| ~ spl0_352 ),
inference(sat_conversion,[],[f20708]) ).
cnf(s2143,plain,
( ~ spl0_275
| ~ spl0_316
| ~ spl0_387 ),
inference(sat_conversion,[],[f20730]) ).
cnf(s2144,plain,
( ~ spl0_9
| ~ spl0_38
| ~ spl0_369
| ~ spl0_387 ),
inference(sat_conversion,[],[f20732]) ).
cnf(s2145,plain,
( ~ spl0_177
| spl0_381
| ~ spl0_387 ),
inference(sat_conversion,[],[f20733]) ).
cnf(s2146,plain,
( ~ spl0_188
| ~ spl0_326
| ~ spl0_342 ),
inference(sat_conversion,[],[f20745]) ).
cnf(s2149,plain,
( ~ spl0_40
| ~ spl0_271
| spl0_273 ),
inference(sat_conversion,[],[f20748]) ).
cnf(s2159,plain,
( ~ spl0_207
| ~ spl0_284
| ~ spl0_326 ),
inference(sat_conversion,[],[f20801]) ).
cnf(s2160,plain,
( ~ spl0_40
| spl0_188
| ~ spl0_194 ),
inference(sat_conversion,[],[f20802]) ).
cnf(s2172,plain,
( ~ spl0_12
| ~ spl0_307 ),
inference(sat_conversion,[],[f20831]) ).
cnf(s2175,plain,
( spl0_244
| spl0_338 ),
inference(sat_conversion,[],[f20848]) ).
cnf(s2177,plain,
( ~ spl0_12
| ~ spl0_315 ),
inference(sat_conversion,[],[f20878]) ).
cnf(s2187,plain,
( ~ spl0_39
| ~ spl0_369
| ~ spl0_376 ),
inference(sat_conversion,[],[f20970]) ).
cnf(s2196,plain,
( ~ spl0_377
| spl0_398
| spl0_405 ),
inference(sat_conversion,[],[f21004]) ).
cnf(s2203,plain,
( ~ spl0_13
| ~ spl0_39
| ~ spl0_271
| ~ spl0_273 ),
inference(sat_conversion,[],[f21076]) ).
cnf(s2204,plain,
( ~ spl0_13
| ~ spl0_271
| spl0_285 ),
inference(sat_conversion,[],[f21077]) ).
cnf(s2205,plain,
( spl0_45
| ~ spl0_174
| spl0_183 ),
inference(sat_conversion,[],[f21078]) ).
cnf(s2215,plain,
( ~ spl0_273
| ~ spl0_330
| ~ spl0_335 ),
inference(sat_conversion,[],[f21178]) ).
cnf(s2217,plain,
( ~ spl0_13
| spl0_376
| ~ spl0_388 ),
inference(sat_conversion,[],[f21194]) ).
cnf(s2232,plain,
( ~ spl0_36
| ~ spl0_338
| ~ spl0_342 ),
inference(sat_conversion,[],[f21283]) ).
cnf(s2233,plain,
( ~ spl0_40
| spl0_137
| ~ spl0_159 ),
inference(sat_conversion,[],[f21284]) ).
cnf(s2237,plain,
( ~ spl0_41
| spl0_42
| spl0_137
| ~ spl0_177 ),
inference(sat_conversion,[],[f21315]) ).
cnf(s2238,plain,
( ~ spl0_41
| ~ spl0_53
| spl0_134
| spl0_169
| ~ spl0_177 ),
inference(sat_conversion,[],[f21316]) ).
cnf(s2256,plain,
( ~ spl0_207
| ~ spl0_318
| ~ spl0_405 ),
inference(sat_conversion,[],[f21512]) ).
cnf(s2270,plain,
( ~ spl0_12
| ~ spl0_146
| ~ spl0_215 ),
inference(sat_conversion,[],[f21603]) ).
cnf(s2272,plain,
( ~ spl0_12
| ~ spl0_215
| ~ spl0_285 ),
inference(sat_conversion,[],[f21607]) ).
cnf(s2273,plain,
( ~ spl0_222
| ~ spl0_337
| ~ spl0_338 ),
inference(sat_conversion,[],[f21615]) ).
cnf(s2274,plain,
( ~ spl0_235
| ~ spl0_325
| ~ spl0_389 ),
inference(sat_conversion,[],[f21616]) ).
cnf(s2279,plain,
( ~ spl0_9
| spl0_14
| spl0_147
| ~ spl0_177 ),
inference(sat_conversion,[],[f21625]) ).
cnf(s2287,plain,
( ~ spl0_282
| ~ spl0_322
| ~ spl0_385 ),
inference(sat_conversion,[],[f21674]) ).
cnf(s2289,plain,
( ~ spl0_134
| ~ spl0_337
| ~ spl0_339 ),
inference(sat_conversion,[],[f21707]) ).
cnf(s2309,plain,
( spl0_137
| ~ spl0_317
| ~ spl0_334
| ~ spl0_367
| spl0_368 ),
inference(sat_conversion,[],[f21882]) ).
cnf(s2312,plain,
( ~ spl0_233
| ~ spl0_244
| ~ spl0_277
| ~ spl0_413 ),
inference(sat_conversion,[],[f21908]) ).
cnf(s2325,plain,
( ~ spl0_10
| ~ spl0_376
| ~ spl0_385 ),
inference(sat_conversion,[],[f21960]) ).
cnf(s2326,plain,
( ~ spl0_317
| ~ spl0_334
| ~ spl0_381 ),
inference(sat_conversion,[],[f21962]) ).
cnf(s2337,plain,
( ~ spl0_39
| ~ spl0_65
| ~ spl0_146 ),
inference(sat_conversion,[],[f22014]) ).
cnf(s2388,plain,
( spl0_46
| spl0_328
| spl0_329 ),
inference(sat_conversion,[],[f22475]) ).
cnf(s2389,plain,
( spl0_46
| spl0_330
| spl0_331 ),
inference(sat_conversion,[],[f22476]) ).
cnf(s2420,plain,
( ~ spl0_322
| ~ spl0_337
| ~ spl0_381 ),
inference(sat_conversion,[],[f22749]) ).
cnf(s2425,plain,
( spl0_147
| ~ spl0_322
| ~ spl0_337
| ~ spl0_374
| spl0_388 ),
inference(sat_conversion,[],[f22788]) ).
cnf(s2427,plain,
( ~ spl0_262
| ~ spl0_317
| ~ spl0_385 ),
inference(sat_conversion,[],[f22791]) ).
cnf(s2429,plain,
( spl0_46
| spl0_326
| spl0_327 ),
inference(sat_conversion,[],[f22793]) ).
cnf(s2459,plain,
( ~ spl0_233
| ~ spl0_331
| spl0_350
| spl0_425 ),
inference(sat_conversion,[],[f22961]) ).
cnf(s2483,plain,
( ~ spl0_146
| ~ spl0_405
| ~ spl0_447 ),
inference(sat_conversion,[],[f23131]) ).
cnf(s2487,plain,
( ~ spl0_41
| spl0_369
| ~ spl0_387 ),
inference(sat_conversion,[],[f23166]) ).
cnf(s2488,plain,
( ~ spl0_277
| ~ spl0_323
| ~ spl0_387 ),
inference(sat_conversion,[],[f23167]) ).
cnf(s2489,plain,
( spl0_207
| ~ spl0_316
| ~ spl0_380
| spl0_387 ),
inference(sat_conversion,[],[f23168]) ).
cnf(s2495,plain,
( spl0_207
| spl0_312
| ~ spl0_313
| ~ spl0_331 ),
inference(sat_conversion,[],[f23177]) ).
cnf(s2499,plain,
( spl0_46
| spl0_137
| spl0_149 ),
inference(sat_conversion,[],[f23190]) ).
cnf(s2508,plain,
( ~ spl0_65
| ~ spl0_326
| ~ spl0_424 ),
inference(sat_conversion,[],[f23298]) ).
cnf(s2515,plain,
( ~ spl0_65
| ~ spl0_320
| ~ spl0_424 ),
inference(sat_conversion,[],[f23334]) ).
cnf(s2520,plain,
( spl0_188
| spl0_208
| spl0_263 ),
inference(sat_conversion,[],[f23341]) ).
cnf(s2521,plain,
( ~ spl0_30
| ~ spl0_306
| ~ spl0_352 ),
inference(sat_conversion,[],[f23342]) ).
cnf(s2531,plain,
( ~ spl0_273
| ~ spl0_283 ),
inference(sat_conversion,[],[f23373]) ).
cnf(s2532,plain,
( ~ spl0_235
| ~ spl0_283 ),
inference(sat_conversion,[],[f23375]) ).
cnf(s2536,plain,
( ~ spl0_35
| spl0_54
| spl0_147
| ~ spl0_174 ),
inference(sat_conversion,[],[f23407]) ).
cnf(s2550,plain,
( ~ spl0_39
| ~ spl0_273
| ~ spl0_285 ),
inference(sat_conversion,[],[f23464]) ).
cnf(s2551,plain,
( ~ spl0_11
| ~ spl0_222 ),
inference(sat_conversion,[],[f23467]) ).
cnf(s2559,plain,
( spl0_261
| spl0_306
| ~ spl0_307 ),
inference(sat_conversion,[],[f23493]) ).
cnf(s2570,plain,
( ~ spl0_131
| ~ spl0_235
| ~ spl0_344 ),
inference(sat_conversion,[],[f23585]) ).
cnf(s2575,plain,
( spl0_46
| spl0_229
| spl0_350 ),
inference(sat_conversion,[],[f23609]) ).
cnf(s2584,plain,
( ~ spl0_30
| ~ spl0_284
| ~ spl0_339 ),
inference(sat_conversion,[],[f23705]) ).
cnf(s2602,plain,
( ~ spl0_233
| ~ spl0_324
| spl0_381
| spl0_425 ),
inference(sat_conversion,[],[f23844]) ).
cnf(s2605,plain,
( ~ spl0_274
| ~ spl0_316
| ~ spl0_368 ),
inference(sat_conversion,[],[f23873]) ).
cnf(s2606,plain,
( ~ spl0_276
| ~ spl0_323
| ~ spl0_368 ),
inference(sat_conversion,[],[f23874]) ).
cnf(s2607,plain,
( ~ spl0_174
| ~ spl0_368
| spl0_381 ),
inference(sat_conversion,[],[f23875]) ).
cnf(s2609,plain,
( spl0_312
| ~ spl0_313
| ~ spl0_324
| spl0_376 ),
inference(sat_conversion,[],[f23877]) ).
cnf(s2610,plain,
( ~ spl0_39
| ~ spl0_273
| ~ spl0_323
| ~ spl0_380
| spl0_387 ),
inference(sat_conversion,[],[f23879]) ).
cnf(s2620,plain,
( ~ spl0_324
| spl0_341
| ~ spl0_425
| spl0_447 ),
inference(sat_conversion,[],[f23992]) ).
cnf(s2621,plain,
( spl0_264
| ~ spl0_324
| ~ spl0_425
| spl0_447 ),
inference(sat_conversion,[],[f23993]) ).
cnf(s2623,plain,
( ~ spl0_312
| ~ spl0_324
| ~ spl0_384 ),
inference(sat_conversion,[],[f23995]) ).
cnf(s2628,plain,
( ~ spl0_369
| ~ spl0_398 ),
inference(sat_conversion,[],[f24007]) ).
cnf(s2630,plain,
( ~ spl0_149
| spl0_273
| ~ spl0_425 ),
inference(sat_conversion,[],[f24010]) ).
cnf(s2631,plain,
( ~ spl0_149
| spl0_156
| spl0_273
| ~ spl0_321 ),
inference(sat_conversion,[],[f24011]) ).
cnf(s2638,plain,
( spl0_261
| spl0_262
| ~ spl0_333 ),
inference(sat_conversion,[],[f24023]) ).
cnf(s2650,plain,
( spl0_147
| ~ spl0_190
| spl0_194
| ~ spl0_229 ),
inference(sat_conversion,[],[f24142]) ).
cnf(s2652,plain,
( ~ spl0_329
| ~ spl0_331
| ~ spl0_425 ),
inference(sat_conversion,[],[f24229]) ).
cnf(s2658,plain,
( ~ spl0_306
| ~ spl0_317
| ~ spl0_376 ),
inference(sat_conversion,[],[f24237]) ).
cnf(s2660,plain,
( spl0_188
| spl0_279
| ~ spl0_314
| ~ spl0_331 ),
inference(sat_conversion,[],[f24239]) ).
cnf(s2662,plain,
( spl0_159
| ~ spl0_160
| spl0_230
| ~ spl0_329 ),
inference(sat_conversion,[],[f24241]) ).
cnf(s2663,plain,
( ~ spl0_233
| ~ spl0_331
| spl0_350
| spl0_425 ),
inference(sat_conversion,[],[f24243]) ).
cnf(s2682,plain,
( ~ spl0_131
| ~ spl0_230
| ~ spl0_350 ),
inference(sat_conversion,[],[f24326]) ).
cnf(s2684,plain,
( spl0_159
| ~ spl0_160
| spl0_235
| ~ spl0_321 ),
inference(sat_conversion,[],[f24331]) ).
cnf(s2685,plain,
( ~ spl0_149
| spl0_156
| spl0_188
| ~ spl0_329 ),
inference(sat_conversion,[],[f24332]) ).
cnf(s2686,plain,
( ~ spl0_166
| spl0_169
| spl0_207
| ~ spl0_329 ),
inference(sat_conversion,[],[f24333]) ).
cnf(s2696,plain,
( spl0_41
| spl0_45
| spl0_46 ),
inference(sat_conversion,[],[f24367]) ).
cnf(s2702,plain,
( ~ spl0_261
| ~ spl0_350 ),
inference(sat_conversion,[],[f24391]) ).
cnf(s2709,plain,
( ~ spl0_3
| ~ spl0_160
| ~ spl0_166
| spl0_257 ),
inference(sat_conversion,[],[f24434]) ).
cnf(s2712,plain,
( ~ spl0_31
| ~ spl0_151
| ~ spl0_166
| spl0_169 ),
inference(sat_conversion,[],[f24438]) ).
cnf(s2714,plain,
( ~ spl0_65
| ~ spl0_151 ),
inference(sat_conversion,[],[f24447]) ).
cnf(s2715,plain,
( spl0_44
| ~ spl0_65
| spl0_424 ),
inference(sat_conversion,[],[f24449]) ).
cnf(s2716,plain,
( spl0_3
| ~ spl0_11
| ~ spl0_166 ),
inference(sat_conversion,[],[f24453]) ).
cnf(s2718,plain,
( ~ spl0_4
| ~ spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f24455]) ).
cnf(s2719,plain,
( ~ spl0_147
| ~ spl0_151 ),
inference(sat_conversion,[],[f24457]) ).
cnf(s2720,plain,
( spl0_19
| ~ spl0_166
| spl0_179 ),
inference(sat_conversion,[],[f24459]) ).
cnf(s2722,plain,
( spl0_5
| spl0_159
| ~ spl0_160
| ~ spl0_166 ),
inference(sat_conversion,[],[f24461]) ).
cnf(s2723,plain,
( spl0_3
| ~ spl0_166
| spl0_222 ),
inference(sat_conversion,[],[f24462]) ).
cnf(s2778,plain,
( spl0_11
| spl0_131
| ~ spl0_147 ),
inference(sat_conversion,[],[f24791]) ).
cnf(s2800,plain,
( spl0_46
| ~ spl0_64
| spl0_179 ),
inference(sat_conversion,[],[f24909]) ).
cnf(s2801,plain,
( spl0_137
| ~ spl0_208
| spl0_209
| ~ spl0_229 ),
inference(sat_conversion,[],[f24939]) ).
cnf(s2807,plain,
( ~ spl0_169
| ~ spl0_275
| ~ spl0_329 ),
inference(sat_conversion,[],[f24967]) ).
cnf(s2808,plain,
( ~ spl0_104
| spl0_134
| ~ spl0_259 ),
inference(sat_conversion,[],[f24994]) ).
cnf(s2822,plain,
( ~ spl0_174
| ~ spl0_209
| ~ spl0_229 ),
inference(sat_conversion,[],[f25083]) ).
cnf(s2823,plain,
( ~ spl0_174
| ~ spl0_209
| spl0_350 ),
inference(sat_conversion,[],[f25085]) ).
cnf(s2826,plain,
( ~ spl0_147
| ~ spl0_389
| ~ spl0_447 ),
inference(sat_conversion,[],[f25113]) ).
cnf(s2827,plain,
( ~ spl0_317
| ~ spl0_335
| ~ spl0_369 ),
inference(sat_conversion,[],[f25125]) ).
cnf(s2845,plain,
( ~ spl0_9
| ~ spl0_49
| spl0_88 ),
inference(sat_conversion,[],[f25217]) ).
cnf(s2846,plain,
( ~ spl0_9
| ~ spl0_49
| ~ spl0_177
| spl0_179
| spl0_413 ),
inference(sat_conversion,[],[f25219]) ).
cnf(s2882,plain,
( ~ spl0_45
| ~ spl0_315
| ~ spl0_342 ),
inference(sat_conversion,[],[f25452]) ).
cnf(s2890,plain,
( ~ spl0_322
| ~ spl0_342
| ~ spl0_369 ),
inference(sat_conversion,[],[f25508]) ).
cnf(s2894,plain,
( ~ spl0_134
| spl0_151
| spl0_152 ),
inference(sat_conversion,[],[f25533]) ).
cnf(s2902,plain,
( ~ spl0_149
| spl0_156
| ~ spl0_326
| ~ spl0_329
| ~ spl0_342 ),
inference(sat_conversion,[],[f25587]) ).
cnf(s2906,plain,
( spl0_137
| ~ spl0_208
| spl0_209
| ~ spl0_229 ),
inference(sat_conversion,[],[f25618]) ).
cnf(s2929,plain,
( ~ spl0_104
| ~ spl0_368
| spl0_376 ),
inference(sat_conversion,[],[f25813]) ).
cnf(s2930,plain,
( ~ spl0_35
| ~ spl0_368
| spl0_385 ),
inference(sat_conversion,[],[f25814]) ).
cnf(s2933,plain,
( spl0_188
| ~ spl0_316
| ~ spl0_367
| spl0_368 ),
inference(sat_conversion,[],[f25817]) ).
cnf(s2939,plain,
( spl0_264
| spl0_275
| spl0_307 ),
inference(sat_conversion,[],[f25846]) ).
cnf(s2952,plain,
( ~ spl0_179
| ~ spl0_315
| ~ spl0_337 ),
inference(sat_conversion,[],[f25917]) ).
cnf(s2953,plain,
( spl0_36
| spl0_171
| ~ spl0_174 ),
inference(sat_conversion,[],[f25918]) ).
cnf(s2955,plain,
( ~ spl0_40
| ~ spl0_41
| spl0_134
| ~ spl0_413 ),
inference(sat_conversion,[],[f25920]) ).
cnf(s2956,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_174
| ~ spl0_413 ),
inference(sat_conversion,[],[f25921]) ).
cnf(s2957,plain,
( spl0_11
| ~ spl0_26
| spl0_38 ),
inference(sat_conversion,[],[f25924]) ).
cnf(s2958,plain,
( ~ spl0_36
| spl0_38
| spl0_44 ),
inference(sat_conversion,[],[f25931]) ).
cnf(s2962,plain,
( spl0_261
| ~ spl0_328
| spl0_334 ),
inference(sat_conversion,[],[f25981]) ).
cnf(s2968,plain,
( ~ spl0_58
| ~ spl0_195
| spl0_230
| spl0_264
| ~ spl0_350 ),
inference(sat_conversion,[],[f26008]) ).
cnf(s2970,plain,
( ~ spl0_9
| spl0_26
| ~ spl0_42 ),
inference(sat_conversion,[],[f26010]) ).
cnf(s2993,plain,
( ~ spl0_35
| ~ spl0_104
| ~ spl0_174
| ~ spl0_193 ),
inference(sat_conversion,[],[f26241]) ).
cnf(s2994,plain,
( ~ spl0_35
| ~ spl0_104
| spl0_134
| ~ spl0_193 ),
inference(sat_conversion,[],[f26242]) ).
cnf(s3002,plain,
( ~ spl0_273
| ~ spl0_325
| ~ spl0_392 ),
inference(sat_conversion,[],[f26293]) ).
cnf(s3005,plain,
( spl0_11
| ~ spl0_230
| spl0_262 ),
inference(sat_conversion,[],[f26301]) ).
cnf(s3039,plain,
( ~ spl0_229
| ~ spl0_319
| spl0_347
| spl0_381 ),
inference(sat_conversion,[],[f26568]) ).
cnf(s3052,plain,
( ~ spl0_15
| ~ spl0_188
| ~ spl0_207
| ~ spl0_262
| ~ spl0_352 ),
inference(sat_conversion,[],[f26715]) ).
cnf(s3053,plain,
( ~ spl0_326
| ~ spl0_337
| ~ spl0_350 ),
inference(sat_conversion,[],[f26717]) ).
cnf(s3054,plain,
( ~ spl0_15
| ~ spl0_207
| spl0_235
| ~ spl0_326 ),
inference(sat_conversion,[],[f26719]) ).
cnf(s3055,plain,
( ~ spl0_15
| ~ spl0_146
| spl0_235
| ~ spl0_320 ),
inference(sat_conversion,[],[f26721]) ).
cnf(s3056,plain,
( ~ spl0_15
| spl0_26
| ~ spl0_369
| ~ spl0_376 ),
inference(sat_conversion,[],[f26723]) ).
cnf(s3058,plain,
( spl0_229
| ~ spl0_326
| ~ spl0_337 ),
inference(sat_conversion,[],[f26726]) ).
cnf(s3084,plain,
( ~ spl0_11
| spl0_171
| ~ spl0_233 ),
inference(sat_conversion,[],[f26947]) ).
cnf(s3085,plain,
( ~ spl0_44
| spl0_144
| ~ spl0_233 ),
inference(sat_conversion,[],[f26948]) ).
cnf(s3093,plain,
( ~ spl0_44
| spl0_144
| ~ spl0_317
| ~ spl0_334 ),
inference(sat_conversion,[],[f27005]) ).
cnf(s3101,plain,
( ~ spl0_223
| ~ spl0_233
| ~ spl0_244
| ~ spl0_276 ),
inference(sat_conversion,[],[f27083]) ).
cnf(s3102,plain,
( ~ spl0_191
| ~ spl0_223
| ~ spl0_229
| ~ spl0_274 ),
inference(sat_conversion,[],[f27084]) ).
cnf(s3105,plain,
( ~ spl0_11
| ~ spl0_338 ),
inference(sat_conversion,[],[f27088]) ).
cnf(s3106,plain,
( spl0_285
| ~ spl0_323
| ~ spl0_380
| spl0_387 ),
inference(sat_conversion,[],[f27090]) ).
cnf(s3113,plain,
( ~ spl0_13
| ~ spl0_104
| spl0_179
| ~ spl0_223 ),
inference(sat_conversion,[],[f27097]) ).
cnf(s3115,plain,
( spl0_39
| spl0_44
| ~ spl0_45 ),
inference(sat_conversion,[],[f27099]) ).
cnf(s3119,plain,
( spl0_42
| ~ spl0_104
| spl0_146
| ~ spl0_174 ),
inference(sat_conversion,[],[f27103]) ).
cnf(s3123,plain,
( spl0_273
| ~ spl0_323
| ~ spl0_367
| spl0_368 ),
inference(sat_conversion,[],[f27107]) ).
cnf(s3124,plain,
( spl0_137
| ~ spl0_233
| spl0_279
| ~ spl0_314 ),
inference(sat_conversion,[],[f27108]) ).
cnf(s3125,plain,
( spl0_235
| ~ spl0_323
| ~ spl0_374
| spl0_388 ),
inference(sat_conversion,[],[f27109]) ).
cnf(s3128,plain,
( ~ spl0_5
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f27114]) ).
cnf(s3129,plain,
( spl0_12
| ~ spl0_30
| spl0_39 ),
inference(sat_conversion,[],[f27121]) ).
cnf(s3132,plain,
( spl0_131
| spl0_151
| ~ spl0_222 ),
inference(sat_conversion,[],[f27131]) ).
cnf(s3133,plain,
( spl0_77
| spl0_134
| ~ spl0_166 ),
inference(sat_conversion,[],[f27159]) ).
cnf(s3136,plain,
( spl0_11
| ~ spl0_16
| spl0_460 ),
inference(sat_conversion,[],[f27166]) ).
cnf(s3138,plain,
( spl0_44
| ~ spl0_137
| spl0_152 ),
inference(sat_conversion,[],[f27191]) ).
cnf(s3141,plain,
( ~ spl0_283
| ~ spl0_330 ),
inference(sat_conversion,[],[f27208]) ).
cnf(s3157,plain,
( spl0_287
| spl0_367
| spl0_369 ),
inference(sat_conversion,[],[f27353]) ).
cnf(s3160,plain,
( spl0_44
| ~ spl0_369
| spl0_392 ),
inference(sat_conversion,[],[f27359]) ).
cnf(s3167,plain,
( ~ spl0_259
| ~ spl0_317
| ~ spl0_334
| ~ spl0_380 ),
inference(sat_conversion,[],[f27441]) ).
cnf(s3168,plain,
( spl0_146
| ~ spl0_317
| ~ spl0_334
| ~ spl0_380
| spl0_387 ),
inference(sat_conversion,[],[f27442]) ).
cnf(s3176,plain,
( ~ spl0_285
| ~ spl0_325
| ~ spl0_405 ),
inference(sat_conversion,[],[f27483]) ).
cnf(s3179,plain,
( ~ spl0_284
| ~ spl0_322
| ~ spl0_376 ),
inference(sat_conversion,[],[f27505]) ).
cnf(s3180,plain,
( ~ spl0_13
| spl0_30
| ~ spl0_54 ),
inference(sat_conversion,[],[f27506]) ).
cnf(s3181,plain,
( spl0_7
| spl0_171
| ~ spl0_177 ),
inference(sat_conversion,[],[f27507]) ).
cnf(s3183,plain,
( spl0_189
| spl0_207
| spl0_264 ),
inference(sat_conversion,[],[f27522]) ).
cnf(s3185,plain,
( spl0_12
| ~ spl0_207
| spl0_306 ),
inference(sat_conversion,[],[f27528]) ).
cnf(s3190,plain,
( spl0_261
| spl0_335
| ~ spl0_352 ),
inference(sat_conversion,[],[f27542]) ).
cnf(s3191,plain,
( ~ spl0_149
| spl0_156
| spl0_188
| ~ spl0_329 ),
inference(sat_conversion,[],[f27570]) ).
cnf(s3198,plain,
( spl0_283
| ~ spl0_320
| spl0_337 ),
inference(sat_conversion,[],[f27608]) ).
cnf(s3199,plain,
( ~ spl0_147
| ~ spl0_282
| ~ spl0_320 ),
inference(sat_conversion,[],[f27610]) ).
cnf(s3200,plain,
( ~ spl0_1
| spl0_11
| spl0_21 ),
inference(sat_conversion,[],[f27621]) ).
cnf(s3201,plain,
( ~ spl0_1
| spl0_36
| ~ spl0_131
| ~ spl0_134 ),
inference(sat_conversion,[],[f27623]) ).
cnf(s3203,plain,
( ~ spl0_1
| spl0_230
| spl0_333 ),
inference(sat_conversion,[],[f27625]) ).
cnf(s3206,plain,
( ~ spl0_104
| spl0_146
| ~ spl0_156 ),
inference(sat_conversion,[],[f27659]) ).
cnf(s3209,plain,
( ~ spl0_21
| spl0_36
| ~ spl0_137
| ~ spl0_147 ),
inference(sat_conversion,[],[f27711]) ).
cnf(s3217,plain,
( ~ spl0_259
| ~ spl0_322
| ~ spl0_337
| ~ spl0_380 ),
inference(sat_conversion,[],[f27781]) ).
cnf(s3224,plain,
( ~ spl0_7
| spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f27787]) ).
cnf(s3225,plain,
( spl0_282
| spl0_283
| ~ spl0_338 ),
inference(sat_conversion,[],[f27790]) ).
cnf(s3226,plain,
( spl0_11
| ~ spl0_235
| spl0_282 ),
inference(sat_conversion,[],[f27793]) ).
cnf(s3228,plain,
( spl0_285
| spl0_287
| spl0_313 ),
inference(sat_conversion,[],[f27805]) ).
cnf(s3230,plain,
( spl0_44
| ~ spl0_273
| spl0_342 ),
inference(sat_conversion,[],[f27810]) ).
cnf(s3232,plain,
( spl0_276
| spl0_339
| spl0_341 ),
inference(sat_conversion,[],[f27820]) ).
cnf(s3233,plain,
( spl0_264
| spl0_276
| spl0_339 ),
inference(sat_conversion,[],[f27821]) ).
cnf(s3235,plain,
( spl0_283
| ~ spl0_339
| spl0_342 ),
inference(sat_conversion,[],[f27824]) ).
cnf(s3240,plain,
( spl0_36
| ~ spl0_137
| ~ spl0_147
| ~ spl0_460 ),
inference(sat_conversion,[],[f27935]) ).
cnf(s3245,plain,
( spl0_12
| ~ spl0_376
| spl0_405 ),
inference(sat_conversion,[],[f27941]) ).
cnf(s3246,plain,
( spl0_171
| ~ spl0_233
| spl0_338 ),
inference(sat_conversion,[],[f27942]) ).
cnf(s3247,plain,
( spl0_144
| ~ spl0_233
| spl0_339 ),
inference(sat_conversion,[],[f27943]) ).
cnf(s3248,plain,
( spl0_12
| spl0_284
| ~ spl0_285 ),
inference(sat_conversion,[],[f27944]) ).
cnf(s3250,plain,
( spl0_44
| ~ spl0_188
| spl0_335 ),
inference(sat_conversion,[],[f27961]) ).
cnf(s3251,plain,
( spl0_277
| spl0_287
| spl0_315 ),
inference(sat_conversion,[],[f27976]) ).
cnf(s3256,plain,
( spl0_11
| ~ spl0_385
| spl0_389 ),
inference(sat_conversion,[],[f27985]) ).
cnf(s3257,plain,
( spl0_283
| spl0_284
| ~ spl0_315 ),
inference(sat_conversion,[],[f27992]) ).
cnf(s3262,plain,
( spl0_151
| spl0_334
| ~ spl0_350 ),
inference(sat_conversion,[],[f28010]) ).
cnf(s3263,plain,
( ~ spl0_152
| ~ spl0_188
| ~ spl0_350 ),
inference(sat_conversion,[],[f28012]) ).
cnf(s3267,plain,
( spl0_146
| ~ spl0_233
| spl0_312
| ~ spl0_313 ),
inference(sat_conversion,[],[f28016]) ).
cnf(s3268,plain,
( spl0_183
| ~ spl0_233
| spl0_315 ),
inference(sat_conversion,[],[f28017]) ).
cnf(s3273,plain,
( ~ spl0_166
| spl0_169
| spl0_285
| ~ spl0_321 ),
inference(sat_conversion,[],[f28022]) ).
cnf(s3274,plain,
( spl0_12
| ~ spl0_146
| spl0_195 ),
inference(sat_conversion,[],[f28025]) ).
cnf(s3278,plain,
( spl0_151
| ~ spl0_179
| spl0_195 ),
inference(sat_conversion,[],[f28040]) ).
cnf(s3299,plain,
~ spl0_390,
inference(sat_conversion,[],[f28221]) ).
cnf(s3303,plain,
( spl0_183
| ~ spl0_229
| spl0_307 ),
inference(sat_conversion,[],[f28250]) ).
cnf(s3304,plain,
( spl0_171
| ~ spl0_229
| spl0_333 ),
inference(sat_conversion,[],[f28251]) ).
cnf(s3321,plain,
( ~ spl0_15
| ~ spl0_207
| ~ spl0_318
| spl0_385 ),
inference(sat_conversion,[],[f28381]) ).
cnf(s3325,plain,
( ~ spl0_15
| spl0_26
| ~ spl0_137
| ~ spl0_146 ),
inference(sat_conversion,[],[f28387]) ).
cnf(s3329,plain,
( ~ spl0_17
| spl0_230 ),
inference(sat_conversion,[],[f28395]) ).
cnf(s3331,plain,
( ~ spl0_18
| spl0_285 ),
inference(sat_conversion,[],[f28403]) ).
cnf(s3333,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_49
| ~ spl0_177
| spl0_413 ),
inference(sat_conversion,[],[f28424]) ).
cnf(s3336,plain,
( ~ spl0_17
| spl0_235 ),
inference(sat_conversion,[],[f28442]) ).
cnf(s3337,plain,
( spl0_263
| spl0_274
| spl0_352 ),
inference(sat_conversion,[],[f28473]) ).
cnf(s3341,plain,
( spl0_151
| spl0_337
| ~ spl0_344 ),
inference(sat_conversion,[],[f28489]) ).
cnf(s3349,plain,
( ~ spl0_191
| ~ spl0_229
| ~ spl0_275
| ~ spl0_413 ),
inference(sat_conversion,[],[f28568]) ).
cnf(s3355,plain,
( spl0_376
| spl0_380 ),
inference(rat,[],[s1756,s3299]) ).
cnf(s3356,plain,
( ~ spl0_203
| ~ spl0_283 ),
inference(rat,[],[s1401,s1507,s1443]) ).
cnf(s3357,plain,
( ~ spl0_82
| ~ spl0_235 ),
inference(rat,[],[s1398,s1507,s1443]) ).
cnf(s3358,plain,
( ~ spl0_19
| spl0_146
| spl0_154
| spl0_285
| spl0_315
| ~ spl0_321 ),
inference(rat,[],[s1391,s1443]) ).
cnf(s3363,plain,
( ~ spl0_82
| ~ spl0_230
| spl0_263 ),
inference(rat,[],[s1187,s1250]) ).
cnf(s3364,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_36
| ~ spl0_38
| spl0_147
| ~ spl0_152
| ~ spl0_195
| ~ spl0_203
| ~ spl0_329 ),
inference(rat,[],[s1129,s1250,s1177]) ).
cnf(s3365,plain,
( ~ spl0_19
| spl0_146
| spl0_154
| spl0_207
| spl0_307
| ~ spl0_329 ),
inference(rat,[],[s1127,s1250]) ).
cnf(s3379,plain,
( ~ spl0_151
| spl0_154
| ~ spl0_203 ),
inference(rat,[],[s835,s867]) ).
cnf(s3381,plain,
( ~ spl0_203
| ~ spl0_261 ),
inference(rat,[],[s802,s1250,s1177]) ).
cnf(s3395,plain,
( ~ spl0_26
| ~ spl0_42
| ~ spl0_131
| spl0_179 ),
inference(rat,[],[s539,s867]) ).
cnf(s3403,plain,
( spl0_134
| spl0_174 ),
inference(rat,[],[s516,s867]) ).
cnf(s3437,plain,
( ~ spl0_5
| ~ spl0_14
| spl0_36
| ~ spl0_38 ),
inference(rat,[],[s92,s568]) ).
cnf(s3442,plain,
( spl0_41
| spl0_45 ),
inference(rat,[],[s40,s568]) ).
cnf(s3443,plain,
( ~ spl0_320
| ~ spl0_147
| ~ spl0_146
| ~ spl0_15
| spl0_11 ),
inference(rat,[],[s3226,s3055,s3199]) ).
cnf(s3444,plain,
( ~ spl0_317
| ~ spl0_335
| ~ spl0_334
| spl0_137
| ~ spl0_174 ),
inference(rat,[],[s2309,s2607,s1763,s2326,s2827]) ).
cnf(s3445,plain,
( spl0_188
| spl0_156
| ~ spl0_131
| ~ spl0_146
| ~ spl0_274
| ~ spl0_174
| ~ spl0_55
| ~ spl0_104
| spl0_26
| ~ spl0_15
| spl0_12 ),
inference(rat,[],[s3056,s3355,s3157,s2489,s2933,s2143,s2605,s1113,s3444,s1814,s1571,s2559,s3262,s2682,s2702,s2575,s2906,s2107,s3185,s1930,s1119,s3191,s2520,s1698,s2499,s3325,s1443,s658,s568,s867,s1177]) ).
cnf(s3446,plain,
( spl0_230
| spl0_171
| ~ spl0_235
| ~ spl0_188
| spl0_137
| spl0_151
| ~ spl0_195
| ~ spl0_147
| ~ spl0_174
| ~ spl0_55
| ~ spl0_45
| ~ spl0_36
| spl0_11
| ~ spl0_2 ),
inference(rat,[],[s2602,s2621,s2001,s1117,s3355,s2274,s2826,s2489,s3256,s2143,s2005,s1113,s3444,s3262,s2054,s2575,s1814,s3304,s1970,s1969,s1532,s1585,s2570,s2778,s1250,s867,s658,s568]) ).
cnf(s3447,plain,
( ~ spl0_230
| spl0_344
| ~ spl0_282
| ~ spl0_321
| ~ spl0_131 ),
inference(rat,[],[s2067,s2103,s2429,s1565,s1998,s2682,s568]) ).
cnf(s3448,plain,
( ~ spl0_235
| ~ spl0_188
| ~ spl0_321
| spl0_137
| spl0_151
| ~ spl0_195
| ~ spl0_147
| ~ spl0_274
| ~ spl0_174
| ~ spl0_55
| ~ spl0_45
| ~ spl0_36
| ~ spl0_35
| spl0_11
| ~ spl0_2 ),
inference(rat,[],[s2602,s2621,s2001,s1117,s3355,s2274,s2826,s2489,s3256,s2143,s2005,s1113,s3444,s3262,s2054,s2575,s3102,s1814,s1821,s1706,s1970,s1969,s3446,s1532,s3447,s1585,s2570,s3226,s2778,s1250,s867,s658,s568]) ).
cnf(s3449,plain,
( spl0_230
| spl0_235
| ~ spl0_188
| ~ spl0_273
| ~ spl0_55
| ~ spl0_36
| ~ spl0_2 ),
inference(rat,[],[s2389,s1632,s2215,s1969,s1532,s568]) ).
cnf(s3450,plain,
( spl0_333
| ~ spl0_229
| ~ spl0_274
| ~ spl0_174
| ~ spl0_35 ),
inference(rat,[],[s1706,s3102,s3304,s1821]) ).
cnf(s3451,plain,
( ~ spl0_344
| spl0_207
| spl0_312
| ~ spl0_175
| ~ spl0_195
| spl0_352 ),
inference(rat,[],[s2495,s2389,s3228,s1584,s1682,s568,s1443]) ).
cnf(s3452,plain,
( spl0_344
| spl0_171
| ~ spl0_230
| spl0_283
| ~ spl0_321
| ~ spl0_131 ),
inference(rat,[],[s3225,s3246,s3447,s1585]) ).
cnf(s3454,plain,
( ~ spl0_318
| ~ spl0_207
| ~ spl0_230
| ~ spl0_15
| spl0_11 ),
inference(rat,[],[s3256,s3321,s1997]) ).
cnf(s3455,plain,
( spl0_171
| ~ spl0_230
| spl0_312
| spl0_235
| ~ spl0_175
| spl0_283
| ~ spl0_321
| ~ spl0_131
| spl0_151
| ~ spl0_195
| spl0_352
| ~ spl0_15
| spl0_11
| spl0_7 ),
inference(rat,[],[s1755,s3106,s2001,s2488,s1116,s2420,s3039,s1114,s3454,s2103,s2429,s1857,s3054,s2952,s3451,s3341,s1682,s3452,s1670,s3181,s1565,s2682,s867,s658,s568]) ).
cnf(s3456,plain,
( spl0_344
| ~ spl0_223
| ~ spl0_230
| spl0_283
| ~ spl0_321
| ~ spl0_131
| ~ spl0_276 ),
inference(rat,[],[s886,s3101,s3447,s1585]) ).
cnf(s3457,plain,
( ~ spl0_44
| spl0_54
| ~ spl0_45
| ~ spl0_104
| ~ spl0_36
| spl0_26
| spl0_12
| spl0_11
| spl0_7
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s2488,s3106,s1116,s3355,s2420,s2001,s3039,s2103,s1114,s2429,s1857,s3454,s3054,s2952,s3451,s3341,s1682,s3456,s3113,s1706,s3455,s1565,s2682,s3449,s1827,s3448,s3445,s513,s2531,s512,s2631,s2031,s1115,s3443,s2499,s2778,s3325,s1698,s3274,s2536,s3119,s3232,s1894,s3403,s1687,s1837,s1846,s10,s13,s1848,s2970,s57,s33,s867,s658,s568,s1507]) ).
cnf(s3458,plain,
( ~ spl0_273
| spl0_230
| ~ spl0_39
| spl0_44
| ~ spl0_55
| ~ spl0_36
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s2215,s1514,s1120,s1118,s2120,s1526,s1394,s2232,s1926,s2203,s3230,s2958,s867]) ).
cnf(s3459,plain,
( spl0_344
| ~ spl0_314
| spl0_137
| ~ spl0_174 ),
inference(rat,[],[s3124,s1992,s1585]) ).
cnf(s3460,plain,
( spl0_230
| ~ spl0_321
| ~ spl0_131
| spl0_137
| spl0_151
| ~ spl0_174
| ~ spl0_39
| spl0_44
| ~ spl0_55
| ~ spl0_36
| ~ spl0_35
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s2520,s2906,s2146,s3058,s1118,s1526,s2232,s3235,s3341,s2570,s1907,s3459,s3233,s2031,s2631,s1787,s3458,s2105,s2499,s1177,s867,s1250,s568]) ).
cnf(s3461,plain,
( ~ spl0_174
| ~ spl0_39
| spl0_44
| spl0_54
| ~ spl0_104
| ~ spl0_36
| spl0_42
| spl0_26
| ~ spl0_15
| spl0_11
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s2906,s2520,s2823,s1565,s1897,s2682,s3460,s1115,s3443,s2778,s3325,s1698,s2536,s3119,s57,s33,s2958,s1177,s658]) ).
cnf(s3462,plain,
( ~ spl0_146
| spl0_273
| ~ spl0_134
| ~ spl0_45
| ~ spl0_36
| spl0_26
| ~ spl0_24
| ~ spl0_15
| spl0_11
| ~ spl0_49
| ~ spl0_9 ),
inference(rat,[],[s2312,s1857,s2175,s2882,s2232,s3235,s2532,s2121,s3124,s1585,s3341,s2289,s3233,s2031,s2631,s1115,s2846,s3443,s1670,s509,s1880,s2499,s2894,s3325,s1698,s33,s1787,s1250,s658,s568]) ).
cnf(s3463,plain,
( ~ spl0_166
| ~ spl0_134
| ~ spl0_36
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2894,s2719,s822,s1938,s2723]) ).
cnf(s3464,plain,
( spl0_30
| spl0_26
| ~ spl0_25
| ~ spl0_24
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2312,s2846,s1857,s2175,s1585,s1670,s2882,s2232,s1878,s1880,s3230,s2894,s3462,s1698,s780,s3463,s3403,s3461,s3115,s3457,s3180,s254,s578,s681,s2,s47,s10,s13,s1848,s2970,s6,s658,s568]) ).
cnf(s3466,plain,
( ~ spl0_235
| ~ spl0_131
| spl0_137
| ~ spl0_38
| ~ spl0_174 ),
inference(rat,[],[s1787,s3459,s1926,s2570,s1250]) ).
cnf(s3467,plain,
( ~ spl0_367
| spl0_368
| ~ spl0_334
| spl0_188
| spl0_137 ),
inference(rat,[],[s1113,s2933,s2309,s658]) ).
cnf(s3468,plain,
( ~ spl0_369
| spl0_285
| ~ spl0_342
| ~ spl0_38
| ~ spl0_39
| ~ spl0_9 ),
inference(rat,[],[s1116,s3106,s3355,s2890,s2144,s2187,s867]) ).
cnf(s3469,plain,
( ~ spl0_368
| ~ spl0_104
| ~ spl0_195
| ~ spl0_174 ),
inference(rat,[],[s2001,s2607,s2929]) ).
cnf(s3470,plain,
( ~ spl0_273
| spl0_209
| spl0_230
| spl0_368
| spl0_235
| spl0_137
| spl0_151
| ~ spl0_36
| spl0_44
| ~ spl0_39
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s2575,s3262,s2906,s3467,s2520,s2146,s1118,s1763,s1526,s3468,s2232,s2550,s3230,s2958,s568,s1177,s867]) ).
cnf(s3473,plain,
( spl0_230
| spl0_271
| ~ spl0_273
| spl0_137
| spl0_151
| ~ spl0_36
| ~ spl0_174
| spl0_44
| ~ spl0_39
| ~ spl0_35
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s2326,s1113,s3262,s2605,s2575,s1894,s2906,s3190,s2520,s2215,s1840,s2146,s2607,s1120,s1118,s3470,s2120,s1526,s2105,s2232,s3230,s1394,s1926,s2958,s658,s568,s1177,s867]) ).
cnf(s3474,plain,
( ~ spl0_273
| spl0_137
| ~ spl0_146
| ~ spl0_36
| ~ spl0_174
| spl0_44
| ~ spl0_39
| ~ spl0_35
| ~ spl0_15
| spl0_11
| ~ spl0_13
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s2906,s2823,s1565,s2520,s2682,s1897,s3473,s2778,s1393,s1115,s3055,s2232,s1926,s2203,s3230,s2958,s1698,s1177,s658]) ).
cnf(s3475,plain,
( ~ spl0_208
| spl0_209
| ~ spl0_337
| spl0_273
| spl0_137 ),
inference(rat,[],[s1118,s3058,s2065,s2906,s867]) ).
cnf(s3476,plain,
( spl0_230
| ~ spl0_337
| spl0_285
| spl0_283
| spl0_273
| spl0_137
| ~ spl0_146
| ~ spl0_39
| ~ spl0_35
| ~ spl0_15
| spl0_11
| ~ spl0_13
| ~ spl0_9 ),
inference(rat,[],[s2031,s2631,s1115,s3443,s3232,s2650,s3235,s3058,s2146,s1118,s1519,s3183,s1962,s1947,s2520,s3475,s2105,s1940,s1838,s2499,s658,s1507,s867,s1250,s1177,s568]) ).
cnf(s3477,plain,
( ~ spl0_146
| ~ spl0_36
| ~ spl0_174
| spl0_44
| ~ spl0_39
| spl0_26
| ~ spl0_15
| spl0_12
| spl0_11
| ~ spl0_13
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s1708,s2778,s3132,s2682,s2823,s3475,s2520,s1897,s3476,s3341,s1682,s1907,s3459,s1787,s3474,s3325,s1698,s3274,s33,s2958,s1177,s1250]) ).
cnf(s3478,plain,
( ~ spl0_230
| spl0_137
| ~ spl0_131
| ~ spl0_38
| ~ spl0_174 ),
inference(rat,[],[s2906,s2823,s1565,s2520,s2682,s1897,s1177]) ).
cnf(s3479,plain,
( ~ spl0_273
| spl0_230
| spl0_137
| spl0_151
| ~ spl0_36
| ~ spl0_174
| spl0_44
| ~ spl0_39
| ~ spl0_35
| ~ spl0_13
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s3473,s2203]) ).
cnf(s3480,plain,
( ~ spl0_36
| ~ spl0_174
| spl0_44
| ~ spl0_39
| spl0_26
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1646,s3183,s3058,s1947,s1118,s2520,s1526,s3475,s2273,s3341,s3459,s1787,s3479,s2105,s1940,s3478,s3466,s987,s2778,s2719,s1938,s2723,s781,s3477,s2958,s10,s13,s1848,s6,s33,s1250,s867,s1177,s658]) ).
cnf(s3481,plain,
( ~ spl0_104
| ~ spl0_233
| ~ spl0_334
| spl0_188
| ~ spl0_273
| ~ spl0_195
| ~ spl0_146
| spl0_137
| ~ spl0_223
| ~ spl0_174
| spl0_44
| ~ spl0_39
| ~ spl0_13 ),
inference(rat,[],[s2620,s2483,s2602,s2196,s2326,s1759,s1113,s2623,s2143,s2609,s2610,s1117,s1116,s3355,s3002,s2890,s2187,s2628,s3160,s1814,s3157,s2100,s3467,s3113,s3469,s3230,s3228,s2550,s1507,s658,s867,s1443]) ).
cnf(s3482,plain,
( ~ spl0_369
| ~ spl0_233
| ~ spl0_334
| ~ spl0_273
| ~ spl0_146
| ~ spl0_40
| ~ spl0_171
| ~ spl0_174
| spl0_44
| ~ spl0_39
| ~ spl0_9 ),
inference(rat,[],[s2143,s1113,s1814,s2326,s2100,s2602,s1883,s2621,s2956,s2483,s2696,s2196,s2882,s1759,s3251,s2623,s2488,s2609,s2610,s1117,s1116,s3355,s3002,s2890,s2187,s2628,s3160,s3230,s3228,s2550,s658,s1250,s568,s1443,s867]) ).
cnf(s3483,plain,
( spl0_188
| spl0_209
| spl0_210
| ~ spl0_273
| ~ spl0_195
| ~ spl0_146
| spl0_137
| spl0_151
| ~ spl0_40
| ~ spl0_171
| ~ spl0_174
| ~ spl0_39
| ~ spl0_30
| ~ spl0_9 ),
inference(rat,[],[s2559,s2939,s2521,s2143,s3337,s1988,s2605,s1113,s3355,s2326,s2001,s2607,s3467,s1763,s3482,s1585,s3341,s3058,s1118,s1519,s3183,s3262,s2054,s2702,s2575,s2906,s2520,s1688,s2550,s1250,s1177,s658,s867,s568]) ).
cnf(s3484,plain,
( spl0_230
| ~ spl0_273
| ~ spl0_195
| ~ spl0_146
| spl0_137
| spl0_151
| ~ spl0_40
| ~ spl0_171
| ~ spl0_174
| ~ spl0_39
| ~ spl0_30
| ~ spl0_35
| ~ spl0_9 ),
inference(rat,[],[s1519,s2429,s3183,s2146,s1947,s3483,s2105,s1940,s3230,s1688,s2550,s568,s1250]) ).
cnf(s3485,plain,
( ~ spl0_273
| ~ spl0_195
| ~ spl0_146
| spl0_137
| ~ spl0_131
| spl0_151
| ~ spl0_40
| ~ spl0_171
| ~ spl0_174
| ~ spl0_39
| ~ spl0_30
| ~ spl0_35
| spl0_11
| ~ spl0_9 ),
inference(rat,[],[s1115,s1735,s3447,s3257,s2570,s3226,s3251,s1827,s1906,s2495,s1519,s2389,s2429,s3183,s2215,s2146,s1947,s3250,s2520,s2906,s2823,s1565,s2682,s3484,s3228,s2550,s3230,s2531,s1688,s658,s1443,s568,s1250,s1177]) ).
cnf(s3486,plain,
( ~ spl0_146
| spl0_137
| ~ spl0_131
| spl0_151
| ~ spl0_40
| ~ spl0_171
| ~ spl0_174
| ~ spl0_30
| ~ spl0_35
| ~ spl0_15
| spl0_12
| spl0_11
| ~ spl0_13
| ~ spl0_9 ),
inference(rat,[],[s1519,s1906,s2429,s1857,s2146,s3257,s3183,s3235,s2584,s1947,s3233,s2520,s2031,s2906,s2631,s2823,s1565,s1115,s2682,s3055,s3476,s2570,s3341,s1682,s1907,s3459,s1787,s3485,s3274,s3129,s2499,s568,s1250,s1177,s658]) ).
cnf(s3487,plain,
( ~ spl0_369
| ~ spl0_277
| ~ spl0_342
| ~ spl0_273
| ~ spl0_39 ),
inference(rat,[],[s2488,s2610,s1116,s3355,s2890,s2187,s867]) ).
cnf(s3488,plain,
( spl0_230
| spl0_188
| ~ spl0_342
| ~ spl0_273
| ~ spl0_179
| spl0_146
| spl0_137
| spl0_151
| ~ spl0_174
| ~ spl0_39
| ~ spl0_35
| ~ spl0_9 ),
inference(rat,[],[s1113,s2326,s2605,s2607,s3467,s1763,s3487,s1894,s1857,s3190,s2882,s2215,s2696,s1120,s1692,s1813,s3273,s3267,s1115,s1585,s3198,s3341,s3058,s1118,s1814,s1519,s2100,s3183,s3262,s2054,s2702,s2575,s2906,s2105,s1940,s781,s3278,s2531,s3228,s2550,s2520,s658,s568,s867,s1250,s1177,s1443]) ).
cnf(s3489,plain,
( spl0_188
| ~ spl0_342
| ~ spl0_273
| ~ spl0_179
| spl0_146
| spl0_137
| ~ spl0_131
| spl0_151
| ~ spl0_174
| ~ spl0_39
| ~ spl0_35
| ~ spl0_9 ),
inference(rat,[],[s2906,s2823,s1565,s2682,s3488,s2520,s1177]) ).
cnf(s3490,plain,
( ~ spl0_273
| ~ spl0_179
| ~ spl0_147
| spl0_146
| spl0_137
| ~ spl0_131
| spl0_151
| ~ spl0_174
| spl0_44
| ~ spl0_39
| ~ spl0_35
| spl0_11
| ~ spl0_9 ),
inference(rat,[],[s1115,s3447,s3199,s2570,s3226,s1827,s1940,s2495,s1519,s2389,s2429,s3183,s2215,s2146,s1947,s3250,s3489,s3228,s2550,s3230,s658,s568,s1250,s1443]) ).
cnf(s3491,plain,
( ~ spl0_209
| ~ spl0_131
| ~ spl0_174
| ~ spl0_35 ),
inference(rat,[],[s2682,s2105,s2823]) ).
cnf(s3492,plain,
( spl0_137
| ~ spl0_131
| spl0_151
| ~ spl0_40
| ~ spl0_171
| ~ spl0_174
| ~ spl0_30
| ~ spl0_35
| spl0_19
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s1970,s2696,s2939,s1692,s2807,s2686,s2388,s2962,s1842,s1940,s1646,s1565,s3262,s1781,s1120,s2495,s3183,s1947,s3250,s2520,s3475,s1827,s3228,s2570,s3341,s1682,s3459,s1787,s3490,s3278,s2720,s1938,s781,s3486,s10,s13,s1848,s6,s3129,s1688,s3491,s568,s1250,s867,s1177,s1443,s658]) ).
cnf(s3493,plain,
( spl0_307
| ~ spl0_169
| ~ spl0_43
| ~ spl0_137 ),
inference(rat,[],[s2388,s2807,s1279,s1814,s568]) ).
cnf(s3494,plain,
( ~ spl0_273
| ~ spl0_43
| ~ spl0_179
| ~ spl0_147
| ~ spl0_137
| ~ spl0_131
| spl0_151
| ~ spl0_174
| ~ spl0_30
| ~ spl0_35
| spl0_12
| spl0_11
| ~ spl0_9 ),
inference(rat,[],[s2652,s2459,s2389,s1980,s2638,s3450,s1894,s2388,s2521,s2962,s3185,s1945,s3183,s1646,s1565,s3262,s2100,s3493,s1940,s3447,s3273,s1115,s3199,s3226,s1827,s3267,s1585,s3228,s1878,s2550,s3138,s1688,s781,s1860,s3129,s568,s1250,s658,s1443]) ).
cnf(s3495,plain,
( ~ spl0_350
| ~ spl0_43
| ~ spl0_179
| ~ spl0_166
| ~ spl0_137
| spl0_151 ),
inference(rat,[],[s2686,s2388,s3493,s1279,s2100,s3262,s2054,s3278,s568]) ).
cnf(s3496,plain,
( ~ spl0_208
| ~ spl0_229
| spl0_312
| spl0_273
| ~ spl0_213
| spl0_146
| spl0_209
| ~ spl0_131
| ~ spl0_15
| spl0_12 ),
inference(rat,[],[s3267,s3228,s1585,s3248,s2570,s2159,s3054,s3183,s1873,s1118,s2065,s1443,s1250,s867]) ).
cnf(s3497,plain,
( spl0_151
| ~ spl0_222
| ~ spl0_40
| ~ spl0_171
| ~ spl0_174
| ~ spl0_30
| ~ spl0_35
| spl0_42
| spl0_19
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s2652,s2459,s2389,s1579,s1461,s3267,s1585,s3451,s513,s512,s1892,s1894,s2521,s2559,s1842,s3493,s1940,s2686,s1646,s2388,s3183,s1583,s1947,s3250,s2520,s3496,s1565,s3495,s1734,s3494,s39,s671,s38,s2205,s2696,s1683,s1880,s3278,s2720,s1938,s781,s1860,s3138,s3492,s3491,s3132,s13,s1848,s6,s3129,s1688,s568,s1250,s1177,s658]) ).
cnf(s3498,plain,
( ~ spl0_151
| spl0_7
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s781,s1938,s1698,s2719,s658]) ).
cnf(s3499,plain,
( ~ spl0_174
| ~ spl0_30
| spl0_26
| spl0_19
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3486,s3325,s2778,s780,s1708,s2723,s3497,s50,s2953,s3480,s10,s3498,s13,s1848,s2970,s6,s33,s3129,s1688]) ).
cnf(s3500,plain,
( spl0_195
| spl0_19
| spl0_12
| spl0_151 ),
inference(rat,[],[s2720,s781,s3278,s3274,s658]) ).
cnf(s3501,plain,
( spl0_26
| spl0_19
| ~ spl0_24
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s514,s1683,s3499,s3464,s22,s3500,s3498]) ).
cnf(s3503,plain,
( ~ spl0_209
| ~ spl0_104
| ~ spl0_174
| ~ spl0_195 ),
inference(rat,[],[s2054,s2107,s2823]) ).
cnf(s3504,plain,
( ~ spl0_273
| ~ spl0_146
| spl0_209
| ~ spl0_39
| spl0_368
| ~ spl0_36
| ~ spl0_174
| ~ spl0_26
| ~ spl0_15
| spl0_11
| spl0_151
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s1393,s2778,s1115,s3478,s3055,s2232,s3470,s1926,s3230,s2957,s99,s1860,s658]) ).
cnf(s3505,plain,
( ~ spl0_146
| spl0_209
| ~ spl0_39
| spl0_368
| ~ spl0_36
| ~ spl0_174
| ~ spl0_26
| ~ spl0_195
| ~ spl0_15
| spl0_11
| spl0_151
| ~ spl0_13
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s2031,s2631,s1115,s3443,s3232,s2650,s3235,s3058,s2146,s1118,s1519,s1940,s1838,s3183,s1897,s1962,s1947,s2520,s3475,s3341,s1682,s1907,s3459,s1787,s3504,s2499,s1860,s2957,s658,s1507,s867,s1250,s1177,s568]) ).
cnf(s3506,plain,
( spl0_30
| ~ spl0_174
| ~ spl0_26
| ~ spl0_195
| ~ spl0_25
| ~ spl0_15
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1646,s3183,s3058,s1947,s1118,s2520,s1526,s3475,s3225,s3341,s1907,s3199,s3459,s1115,s1787,s2631,s3470,s1940,s2499,s3466,s3478,s987,s3132,s1938,s2723,s3206,s781,s3505,s3503,s3115,s3469,s254,s578,s681,s2,s6,s10,s3498,s2957,s99,s1250,s867,s1177,s658,s568]) ).
cnf(s3507,plain,
( spl0_209
| ~ spl0_273
| ~ spl0_36
| ~ spl0_146
| spl0_137
| ~ spl0_39
| ~ spl0_174
| ~ spl0_26
| ~ spl0_195
| ~ spl0_15
| spl0_11
| spl0_151
| ~ spl0_13
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s2326,s3262,s1113,s2575,s2605,s2607,s2906,s3505,s2520,s2146,s1894,s3190,s2215,s1120,s2120,s2203,s1394,s1840,s1118,s1526,s3478,s2778,s1393,s1115,s3055,s1926,s2957,s2232,s3230,s99,s658,s568,s867,s1177]) ).
cnf(s3508,plain,
( ~ spl0_273
| ~ spl0_36
| ~ spl0_146
| spl0_137
| ~ spl0_39
| ~ spl0_174
| ~ spl0_26
| ~ spl0_195
| ~ spl0_15
| spl0_11
| spl0_151
| ~ spl0_13
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s1113,s2326,s2605,s2607,s3467,s3262,s2823,s3507,s1894,s3190,s2215,s1840,s2146,s1120,s1118,s2120,s1526,s3478,s2778,s1393,s1115,s1763,s3055,s1394,s3468,s2232,s1926,s2203,s2550,s3230,s2957,s99,s658,s867]) ).
cnf(s3509,plain,
( ~ spl0_131
| spl0_271
| spl0_273
| ~ spl0_146
| spl0_137
| ~ spl0_174
| ~ spl0_38
| ~ spl0_26
| ~ spl0_15
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s1118,s2146,s1526,s2520,s3225,s2906,s3235,s1729,s2823,s1565,s3233,s3262,s2031,s1781,s2631,s1120,s1115,s2120,s3055,s1394,s3466,s3478,s2499,s1907,s3459,s1787,s867,s1177,s1250,s658,s568]) ).
cnf(s3510,plain,
( spl0_230
| spl0_147
| spl0_222
| ~ spl0_337
| spl0_285
| ~ spl0_195
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s1519,s3183,s2429,s2054,s3058,s2575,s2117,s1940,s1250,s568]) ).
cnf(s3511,plain,
( spl0_273
| ~ spl0_146
| spl0_137
| ~ spl0_174
| ~ spl0_26
| ~ spl0_195
| ~ spl0_15
| spl0_11
| spl0_7
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s1906,s1519,s2429,s3183,s3053,s2054,s2823,s3475,s2520,s1897,s3510,s1857,s2952,s1670,s1888,s2778,s3132,s3509,s3341,s1682,s1728,s3459,s1787,s6,s10,s3498,s2957,s568,s1250,s1177,s658]) ).
cnf(s3512,plain,
( ~ spl0_146
| spl0_137
| ~ spl0_39
| ~ spl0_30
| ~ spl0_174
| ~ spl0_26
| ~ spl0_195
| ~ spl0_15
| spl0_11
| spl0_7
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s1113,s2326,s2605,s2607,s1894,s3467,s3190,s3262,s2702,s2823,s3483,s3250,s2215,s1120,s2120,s1940,s3478,s2778,s710,s2684,s2233,s1115,s1763,s50,s2953,s3055,s1394,s3468,s3508,s1926,s2203,s2550,s3230,s3511,s6,s10,s3498,s2957,s99,s658,s867]) ).
cnf(s3513,plain,
( ~ spl0_273
| ~ spl0_36
| spl0_312
| spl0_210
| spl0_235
| spl0_230
| spl0_146
| ~ spl0_39
| spl0_44
| ~ spl0_15
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s1646,s3058,s3183,s3341,s3054,s1585,s1118,s3267,s1526,s3228,s2232,s2550,s3230,s1250,s867,s1443]) ).
cnf(s3514,plain,
( ~ spl0_337
| spl0_210
| spl0_235
| spl0_230
| ~ spl0_222
| spl0_146
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s1646,s3183,s3058,s3054,s1118,s1526,s2273,s1250,s867]) ).
cnf(s3515,plain,
( spl0_137
| ~ spl0_39
| ~ spl0_30
| ~ spl0_174
| ~ spl0_26
| ~ spl0_195
| ~ spl0_15
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2550,s1461,s1786,s3267,s3459,s1585,s3341,s3514,s1827,s1940,s3466,s3478,s3132,s2723,s781,s3512,s6,s3498,s2957,s658]) ).
cnf(s3516,plain,
( ~ spl0_174
| ~ spl0_26
| ~ spl0_195
| ~ spl0_25
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1938,s781,s987,s1860,s3515,s3129,s3506,s13,s1848,s6,s2957,s658]) ).
cnf(s3517,plain,
( spl0_19
| ~ spl0_24
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s509,s2778,s254,s484,s2894,s1683,s3403,s3516,s3501,s3500,s22,s3498]) ).
cnf(s3518,plain,
( spl0_230
| ~ spl0_273
| spl0_209
| spl0_137
| ~ spl0_195
| ~ spl0_55
| ~ spl0_36
| ~ spl0_174
| ~ spl0_35
| ~ spl0_58
| ~ spl0_2 ),
inference(rat,[],[s1837,s3337,s2958,s3450,s1926,s1969,s3449,s1532,s2520,s2906,s1565,s2968,s1177,s1250]) ).
cnf(s3519,plain,
( ~ spl0_235
| ~ spl0_230
| ~ spl0_321
| ~ spl0_131
| spl0_11 ),
inference(rat,[],[s3447,s2570,s3226]) ).
cnf(s3520,plain,
( ~ spl0_273
| spl0_54
| ~ spl0_104
| ~ spl0_36
| ~ spl0_174
| spl0_26
| ~ spl0_58
| spl0_12
| spl0_11
| spl0_151
| spl0_7
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s1822,s1857,s2389,s2952,s1584,s3341,s3456,s1706,s3455,s1827,s3519,s513,s1670,s512,s610,s2237,s2031,s54,s2696,s3232,s3457,s1687,s1837,s2958,s3478,s3518,s2531,s57,s3325,s2778,s3503,s3274,s1115,s3443,s2536,s33,s3119,s2970,s13,s1848,s568,s658,s1507]) ).
cnf(s3521,plain,
( spl0_30
| ~ spl0_174
| spl0_26
| ~ spl0_58
| spl0_12
| spl0_11
| spl0_151
| spl0_7
| ~ spl0_9
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2429,s1526,s1897,s2146,s2232,s2958,s2520,s3235,s1687,s3475,s3233,s2570,s3341,s1907,s2031,s3459,s2631,s1787,s3520,s1115,s2499,s3503,s3443,s2778,s3325,s3274,s2536,s3119,s3180,s578,s681,s10,s13,s1848,s2970,s33,s568,s1177,s1250,s658]) ).
cnf(s3522,plain,
( spl0_131
| ~ spl0_174
| spl0_26
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s1708,s2778,s3132]) ).
cnf(s3523,plain,
( spl0_230
| spl0_235
| ~ spl0_337
| ~ spl0_222
| spl0_146
| ~ spl0_15
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s3514,s1940]) ).
cnf(s3524,plain,
( ~ spl0_273
| ~ spl0_147
| ~ spl0_222
| spl0_146
| spl0_137
| ~ spl0_131
| spl0_44
| ~ spl0_39
| ~ spl0_174
| ~ spl0_35
| ~ spl0_19
| ~ spl0_15
| spl0_11
| spl0_151
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s2520,s1947,s2906,s1648,s1565,s2682,s3523,s2570,s3341,s1585,s1620,s3228,s3490,s2550,s3491,s1177,s658,s1250,s1443]) ).
cnf(s3525,plain,
( ~ spl0_329
| ~ spl0_335
| spl0_207
| spl0_146
| spl0_137
| ~ spl0_19 ),
inference(rat,[],[s2696,s1692,s1970,s2686,s3365,s781,s568,s658]) ).
cnf(s3526,plain,
( spl0_137
| ~ spl0_131
| ~ spl0_40
| ~ spl0_171
| ~ spl0_30
| ~ spl0_174
| ~ spl0_35
| ~ spl0_19
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2389,s2495,s1781,s3228,s2962,s1682,s1119,s3278,s3525,s1648,s1565,s3250,s1947,s2682,s1842,s2520,s3523,s1827,s3475,s2570,s3341,s3459,s1787,s3524,s1938,s2723,s781,s3486,s10,s3498,s13,s1848,s6,s3129,s1688,s3491,s568,s1443,s867,s658,s1250,s1177]) ).
cnf(s3527,plain,
( ~ spl0_273
| ~ spl0_147
| ~ spl0_137
| ~ spl0_131
| ~ spl0_30
| ~ spl0_174
| spl0_26
| ~ spl0_19
| spl0_12
| spl0_11
| spl0_151
| ~ spl0_9 ),
inference(rat,[],[s38,s39,s2696,s3494,s1880,s1620,s1585,s3228,s1878,s2550,s2970,s33,s3138,s1688,s1860,s3129,s568,s1443]) ).
cnf(s3528,plain,
( ~ spl0_195
| spl0_230
| spl0_273
| ~ spl0_147
| spl0_146
| spl0_209
| ~ spl0_131
| ~ spl0_30
| ~ spl0_174
| ~ spl0_58
| ~ spl0_19
| ~ spl0_15
| spl0_12
| spl0_11
| ~ spl0_9 ),
inference(rat,[],[s1115,s1392,s3199,s3248,s3257,s2532,s3226,s2159,s1827,s1118,s3496,s2065,s2520,s1947,s3183,s1646,s1929,s1565,s3133,s2968,s1683,s3129,s781,s1940,s658,s867,s1177,s1250]) ).
cnf(s3529,plain,
( ~ spl0_376
| spl0_368
| ~ spl0_284
| spl0_273
| spl0_26
| ~ spl0_15 ),
inference(rat,[],[s3123,s1116,s1763,s3179,s3056,s867]) ).
cnf(s3530,plain,
( ~ spl0_380
| ~ spl0_334
| ~ spl0_275
| spl0_207
| ~ spl0_259 ),
inference(rat,[],[s2143,s2489,s1113,s3167,s658]) ).
cnf(s3531,plain,
( ~ spl0_376
| ~ spl0_276
| ~ spl0_284
| spl0_273
| spl0_26
| ~ spl0_15 ),
inference(rat,[],[s2606,s1116,s3529,s3179,s867]) ).
cnf(s3532,plain,
( spl0_207
| ~ spl0_380
| ~ spl0_285
| spl0_279
| ~ spl0_259
| spl0_179
| ~ spl0_314
| spl0_146
| ~ spl0_152
| ~ spl0_19
| spl0_151 ),
inference(rat,[],[s2559,s1579,s2939,s1120,s3530,s1630,s3262,s2702,s2575,s1648,s1250,s867,s568,s658]) ).
cnf(s3533,plain,
( spl0_344
| ~ spl0_259
| spl0_179
| spl0_273
| spl0_146
| ~ spl0_152
| ~ spl0_30
| ~ spl0_174
| spl0_26
| ~ spl0_19
| ~ spl0_15
| spl0_12
| spl0_151 ),
inference(rat,[],[s2389,s2660,s1579,s1947,s3185,s3532,s3355,s3531,s3232,s2584,s3248,s1461,s1620,s1992,s1585,s3129,s1787,s568,s1507,s1250]) ).
cnf(s3534,plain,
( spl0_230
| spl0_273
| ~ spl0_222
| spl0_146
| ~ spl0_152
| ~ spl0_30
| ~ spl0_174
| spl0_26
| ~ spl0_19
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s3514,s2570,s3341,s3533,s1283,s3278,s3528,s1940,s19,s13,s1848,s6,s600,s10,s3491,s3522,s3498,s33,s1938,s781,s658]) ).
cnf(s3535,plain,
( ~ spl0_235
| ~ spl0_230
| ~ spl0_147
| ~ spl0_131
| spl0_11 ),
inference(rat,[],[s1115,s3199,s3519,s3226,s658]) ).
cnf(s3536,plain,
( ~ spl0_188
| ~ spl0_272
| spl0_312
| spl0_261
| ~ spl0_314
| ~ spl0_137
| ~ spl0_71
| ~ spl0_39
| ~ spl0_30
| ~ spl0_174
| ~ spl0_19
| spl0_151 ),
inference(rat,[],[s1585,s3267,s1584,s3228,s513,s1579,s512,s1120,s1892,s1625,s1894,s2521,s2559,s3365,s2388,s1583,s3250,s1947,s1688,s1860,s1443,s867,s658,s568]) ).
cnf(s3537,plain,
( ~ spl0_174
| spl0_26
| ~ spl0_19
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3278,s1683,s1648,s3133,s3054,s1929,s1118,s3496,s2065,s2520,s3536,s1394,s1827,s3535,s1565,s2682,s1842,s3534,s1787,s3527,s1938,s2723,s781,s1860,s3138,s3526,s3491,s3522,s110,s50,s79,s2953,s3480,s1688,s3129,s3521,s2,s3498,s13,s1848,s6,s600,s10,s33,s658,s1250,s867,s1177]) ).
cnf(s3538,plain,
( spl0_230
| spl0_235
| ~ spl0_273
| spl0_137
| ~ spl0_195
| ~ spl0_55
| ~ spl0_36
| ~ spl0_35
| ~ spl0_58
| ~ spl0_2 ),
inference(rat,[],[s2906,s2520,s1565,s3449,s2968,s2105,s1177,s1250]) ).
cnf(s3539,plain,
( ~ spl0_273
| ~ spl0_131
| spl0_137
| ~ spl0_195
| ~ spl0_55
| ~ spl0_38
| ~ spl0_104
| ~ spl0_36
| ~ spl0_152
| ~ spl0_35
| ~ spl0_58
| ~ spl0_15
| ~ spl0_2 ),
inference(rat,[],[s3054,s2107,s1118,s2906,s2067,s1565,s2110,s2520,s2682,s1897,s3538,s1926,s1878,s2499,s867,s1177,s568]) ).
cnf(s3540,plain,
( spl0_230
| ~ spl0_229
| spl0_283
| spl0_273
| spl0_137
| ~ spl0_146
| spl0_222
| ~ spl0_134
| ~ spl0_35
| ~ spl0_15
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s2103,s2067,s2429,s2146,s3341,s3235,s2289,s3233,s2031,s2631,s2520,s1115,s2906,s3443,s2105,s2117,s2499,s568,s1250,s1177,s658]) ).
cnf(s3541,plain,
( ~ spl0_131
| ~ spl0_195
| ~ spl0_146
| ~ spl0_55
| ~ spl0_36
| spl0_30
| ~ spl0_134
| spl0_26
| ~ spl0_58
| ~ spl0_19
| ~ spl0_24
| ~ spl0_15
| spl0_11
| spl0_151
| ~ spl0_49
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s1609,s1682,s2067,s2429,s3054,s3535,s2107,s1825,s2906,s3191,s2110,s2520,s1897,s3540,s2388,s1565,s2962,s3262,s2080,s336,s1670,s3381,s3356,s38,s2237,s1651,s2696,s3462,s3539,s2970,s33,s578,s2958,s1846,s822,s2894,s2499,s3325,s1443,s1507,s568,s1177,s658]) ).
cnf(s3542,plain,
( spl0_30
| spl0_26
| spl0_14
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2080,s2962,s336,s1119,s38,s3191,s3381,s2696,s1670,s1538,s1656,s1825,s509,s2279,s2778,s3541,s2499,s3325,s3274,s780,s57,s3463,s2958,s3180,s681,s2,s47,s13,s1848,s600,s10,s2970,s33,s1846,s2894,s3403,s3537,s3517,s94,s6,s3498,s867,s568,s658]) ).
cnf(s3543,plain,
( ~ spl0_273
| spl0_179
| spl0_146
| ~ spl0_39
| ~ spl0_152
| ~ spl0_19 ),
inference(rat,[],[s1620,s3228,s1585,s2550,s1878,s1443]) ).
cnf(s3544,plain,
( ~ spl0_235
| ~ spl0_149
| spl0_273
| ~ spl0_131
| ~ spl0_147
| spl0_179
| spl0_146
| ~ spl0_30
| ~ spl0_19
| spl0_12
| spl0_11 ),
inference(rat,[],[s2584,s3248,s3233,s1461,s2031,s2631,s1620,s1115,s1585,s3199,s2570,s3226,s1250,s658]) ).
cnf(s3546,plain,
( ~ spl0_326
| ~ spl0_380
| ~ spl0_284
| ~ spl0_285
| ~ spl0_314
| ~ spl0_259
| spl0_179
| spl0_146
| ~ spl0_134
| ~ spl0_19
| spl0_151 ),
inference(rat,[],[s1120,s1579,s2079,s2559,s1894,s2939,s2141,s3530,s3262,s2575,s3532,s1648,s2159,s1840,s2894,s867,s1250,s568,s658]) ).
cnf(s3547,plain,
( ~ spl0_235
| spl0_209
| ~ spl0_131
| ~ spl0_147
| ~ spl0_259
| ~ spl0_30
| ~ spl0_134
| spl0_26
| ~ spl0_19
| ~ spl0_15
| spl0_12
| spl0_11
| spl0_151 ),
inference(rat,[],[s2575,s3263,s2067,s2520,s2103,s2065,s2429,s3546,s3355,s3531,s3232,s2584,s3248,s1461,s1620,s1115,s1585,s3199,s2570,s3226,s1787,s3543,s3278,s3274,s1683,s3129,s2894,s568,s1177,s1507,s658,s1250]) ).
cnf(s3548,plain,
( spl0_230
| spl0_271
| ~ spl0_131
| ~ spl0_147
| ~ spl0_222
| ~ spl0_259
| ~ spl0_30
| ~ spl0_134
| spl0_26
| ~ spl0_19
| ~ spl0_15
| spl0_12
| spl0_11
| spl0_151
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s1755,s3531,s3532,s3232,s3185,s2584,s1579,s3248,s1461,s1620,s1585,s1120,s3341,s2120,s3523,s2121,s1394,s3547,s2105,s33,s1787,s3543,s3278,s3274,s1683,s3129,s2894,s1507,s867,s1250]) ).
cnf(s3549,plain,
( spl0_26
| spl0_14
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3341,s1585,s2289,s1613,s3233,s3228,s2075,s1579,s2065,s1120,s2429,s2660,s2520,s3054,s1947,s3185,s1648,s2121,s1565,s3535,s2682,s3548,s2149,s1787,s3543,s50,s506,s3463,s1938,s2723,s791,s1283,s781,s3278,s3274,s1683,s3129,s3542,s2894,s3403,s3537,s33,s19,s10,s3498,s13,s1848,s594,s3517,s94,s6,s1250,s1443,s867,s568,s1177,s658]) ).
cnf(s3550,plain,
( ~ spl0_273
| ~ spl0_195
| ~ spl0_146
| ~ spl0_104
| ~ spl0_36
| ~ spl0_26
| ~ spl0_58
| ~ spl0_15
| spl0_11
| ~ spl0_2 ),
inference(rat,[],[s2520,s2146,s2906,s1118,s1565,s1526,s2968,s3478,s3503,s3403,s484,s987,s2778,s1393,s1115,s3055,s2232,s1926,s3230,s2957,s99,s1177,s867,s1250,s658]) ).
cnf(s3551,plain,
( spl0_230
| spl0_222
| spl0_147
| ~ spl0_195
| ~ spl0_58
| ~ spl0_2 ),
inference(rat,[],[s2575,s2968,s2117,s568,s1250]) ).
cnf(s3552,plain,
( ~ spl0_131
| ~ spl0_195
| ~ spl0_146
| ~ spl0_104
| ~ spl0_36
| ~ spl0_26
| ~ spl0_58
| ~ spl0_15
| spl0_11
| spl0_7
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s3183,s3054,s1873,s3226,s1565,s1998,s2682,s3551,s1118,s2065,s671,s2520,s2205,s2696,s1538,s822,s3115,s987,s3138,s3505,s3511,s3503,s3469,s3403,s484,s6,s10,s3498,s2957,s99,s3550,s1250,s867,s1177,s568]) ).
cnf(s3553,plain,
( ~ spl0_174
| ~ spl0_195
| ~ spl0_146
| ~ spl0_36
| spl0_30
| ~ spl0_26
| ~ spl0_19
| ~ spl0_15
| spl0_11
| spl0_7
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s1115,s1393,s3055,s3225,s3226,s3356,s1998,s1656,s1118,s3138,s2065,s3511,s3503,s99,s3550,s2520,s1897,s3551,s3132,s3498,s2778,s3552,s578,s600,s10,s2957,s658,s568,s867,s1177]) ).
cnf(s3554,plain,
( ~ spl0_331
| ~ spl0_274
| spl0_188
| ~ spl0_314 ),
inference(rat,[],[s2079,s2660]) ).
cnf(s3555,plain,
( ~ spl0_146
| ~ spl0_36
| spl0_30
| ~ spl0_26
| ~ spl0_19
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s1609,s1682,s1593,s1980,s1120,s3554,s1656,s2894,s3403,s3553,s1894,s1866,s1897,s3005,s3551,s2778,s3132,s3552,s1787,s3550,s3274,s3498,s13,s1848,s6,s600,s10,s2957,s578,s1443,s1507,s867,s568,s658,s1250]) ).
cnf(s3556,plain,
( spl0_30
| spl0_14
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1787,s3459,s3513,s3341,s3115,s3523,s1940,s1827,s609,s3478,s3466,s832,s3403,s987,s3132,s3463,s1938,s2723,s781,s3555,s681,s2,s3498,s13,s1848,s3517,s94,s6,s2957,s99,s3549,s1250,s658]) ).
cnf(s3557,plain,
( ~ spl0_146
| ~ spl0_30
| ~ spl0_26
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s514,s3512,s1683,s1860,s3274,s13,s1848,s6,s3129]) ).
cnf(s3558,plain,
( spl0_14
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2550,s1461,s1786,s1620,s3459,s1585,s3341,s3278,s3523,s3515,s3478,s3466,s3403,s484,s987,s3132,s1938,s2723,s781,s3557,s3129,s3556,s2957,s3549,s3517,s94,s3498,s13,s1848,s6,s658]) ).
cnf(s3559,plain,
( ~ spl0_45
| spl0_30
| spl0_26
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s971,s1670,s1696,s1880,s822,s2894,s3403,s3480,s3115,s3457,s6,s3498,s3558,s681,s2,s578,s3180,s10,s658,s568]) ).
cnf(s3560,plain,
( ~ spl0_273
| ~ spl0_38
| ~ spl0_152
| ~ spl0_58
| ~ spl0_55
| ~ spl0_104
| ~ spl0_36
| spl0_137
| ~ spl0_195
| ~ spl0_35
| ~ spl0_15
| spl0_11
| ~ spl0_2 ),
inference(rat,[],[s2778,s1593,s3539,s1878,s1926]) ).
cnf(s3561,plain,
( spl0_230
| spl0_273
| spl0_222
| spl0_283
| ~ spl0_134
| ~ spl0_58
| spl0_137
| ~ spl0_195
| ~ spl0_146
| ~ spl0_35
| ~ spl0_15
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s1565,s3540,s2968,s1250]) ).
cnf(s3562,plain,
( spl0_30
| ~ spl0_146
| spl0_26
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3341,s2289,s1585,s3233,s3124,s2031,s2121,s1115,s3535,s3443,s2778,s1825,s2685,s2388,s2962,s2100,s1186,s1897,s3561,s1787,s3560,s684,s822,s2958,s2894,s1846,s3381,s3356,s3403,s1651,s3537,s600,s1670,s22,s38,s2237,s254,s2696,s3559,s57,s3180,s578,s681,s2,s10,s3498,s2970,s33,s3274,s2499,s3325,s13,s1848,s6,s1250,s658,s568]) ).
cnf(s3563,plain,
( ~ spl0_174
| ~ spl0_30
| spl0_26
| ~ spl0_2
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3 ),
inference(rat,[],[s3537,s3499]) ).
cnf(s3564,plain,
( ~ spl0_146
| spl0_26
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3563,s3403,s1683,s3562,s3274]) ).
cnf(s3565,plain,
( spl0_30
| spl0_146
| spl0_42
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s514,s3119,s3463,s578,s681,s2,s781,s568,s658]) ).
cnf(s3566,plain,
( spl0_26
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1585,s3341,s1613,s2289,s3228,s3233,s1579,s2075,s2065,s1120,s2429,s2660,s2520,s3054,s1947,s3185,s1648,s1565,s2121,s2682,s3535,s3548,s2149,s1787,s3543,s1283,s3500,s3278,s50,s1683,s3463,s2894,s3403,s3563,s3129,s3565,s3132,s1938,s2723,s781,s3564,s33,s2970,s19,s10,s3498,s13,s1848,s6,s1443,s1250,s867,s568,s1177,s658]) ).
cnf(s3567,plain,
( ~ spl0_146
| spl0_30
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1888,s1670,s2778,s1880,s822,s484,s2894,s3403,s3516,s254,s22,s3555,s3274,s3498,s3566,s681,s2,s658]) ).
cnf(s3568,plain,
( spl0_30
| spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1786,s3513,s3459,s3115,s3341,s2696,s3523,s1940,s1827,s1692,s3478,s3466,s1935,s3403,s987,s3132,s3463,s1938,s2723,s781,s3567,s25,s681,s2,s3498,s13,s1848,s6,s2957,s99,s3566,s568,s658]) ).
cnf(s3569,plain,
( spl0_12
| spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2550,s1461,s1786,s1620,s3459,s1585,s3341,s3500,s3278,s3523,s3515,s3478,s3466,s3403,s484,s987,s3132,s1938,s2723,s781,s3557,s3129,s3568,s2957,s3566,s13,s1848,s6,s3498,s658]) ).
cnf(s3570,plain,
( spl0_26
| spl0_223
| ~ spl0_36
| ~ spl0_171
| ~ spl0_41
| ~ spl0_177
| spl0_151
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s1888,s987,s822,s2958,s2894,s1846,s1705,s2237,s33,s2970,s6]) ).
cnf(s3571,plain,
( ~ spl0_137
| spl0_44
| ~ spl0_38
| ~ spl0_36
| ~ spl0_177
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s822,s1888,s3138,s987]) ).
cnf(s3572,plain,
( spl0_30
| ~ spl0_110
| ~ spl0_41
| spl0_179
| spl0_11
| spl0_7
| spl0_5
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s506,s3395,s1710,s2237,s3571,s99,s2957,s3570,s3113,s578,s681,s10,s3498,s3181,s1670,s568,s658]) ).
cnf(s3573,plain,
( ~ spl0_36
| ~ spl0_137
| spl0_44
| ~ spl0_177
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s3571,s2958]) ).
cnf(s3574,plain,
( ~ spl0_137
| ~ spl0_30
| ~ spl0_460
| ~ spl0_177
| spl0_7
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s1860,s88,s780,s2279,s1938,s3240,s3573,s6,s1688]) ).
cnf(s3575,plain,
( spl0_11
| spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s506,s3395,s2970,s1710,s2237,s3574,s3572,s3136,s591,s2696,s1670,s14,s64,s1995,s3569,s2,s2845,s47,s6,s3498,s568,s658]) ).
cnf(s3578,plain,
( spl0_12
| ~ spl0_30
| ~ spl0_146
| ~ spl0_285 ),
inference(rat,[],[s1787,s3459,s3403,s2550,s1860,s1682,s1683,s3129,s3274,s1250]) ).
cnf(s3579,plain,
( spl0_7
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2075,s2065,s2429,s3232,s2520,s3053,s2289,s3263,s1878,s3341,s2575,s1585,s3138,s2955,s3349,s2312,s1710,s2846,s591,s2696,s1670,s1814,s1857,s64,s1995,s2172,s2177,s3578,s1688,s681,s50,s1821,s1696,s780,s3331,s2175,s66,s2033,s2551,s2716,s2718,s3105,s3575,s3498,s2845,s47,s2,s6,s568,s1507,s1177,s658]) ).
cnf(s3580,plain,
( ~ spl0_146
| ~ spl0_149
| ~ spl0_35
| spl0_12
| ~ spl0_36
| spl0_30
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s1280,s1651,s1119,s22,s3191,s254,s1540,s3115,s2958,s2894,s1846,s3403,s1693,s707,s823,s1825,s710,s3274,s664,s1698,s1660,s3224,s1177,s1250,s568,s867]) ).
cnf(s3581,plain,
( spl0_137
| spl0_26
| spl0_12
| spl0_30
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2719,s2894,s1963,s822,s3403,s1935,s2723,s3119,s781,s3580,s2499,s3579,s681,s2,s578,s25,s2970,s6,s33,s658,s568]) ).
cnf(s3582,plain,
( ~ spl0_203
| ~ spl0_152
| ~ spl0_2
| ~ spl0_10
| spl0_147
| ~ spl0_36
| ~ spl0_38
| ~ spl0_195 ),
inference(rat,[],[s1119,s1280,s3364,s1250,s1177,s867]) ).
cnf(s3583,plain,
( ~ spl0_146
| spl0_151
| ~ spl0_35
| spl0_12
| ~ spl0_36
| spl0_30
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s3582,s1651,s22,s254,s3115,s2958,s2894,s1846,s3403,s1693,s823,s710,s3274,s664,s1660,s3224,s568]) ).
cnf(s3584,plain,
( spl0_26
| spl0_12
| spl0_30
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2894,s822,s3403,s2723,s3119,s781,s3583,s1667,s3581,s33,s2970,s6,s3579,s681,s2,s578,s658,s568]) ).
cnf(s3585,plain,
( ~ spl0_146
| ~ spl0_272
| spl0_230
| spl0_151
| spl0_12
| ~ spl0_7
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s3510,s1682,s3341,s1585,s1619,s823,s710,s3274,s664,s3224]) ).
cnf(s3586,plain,
( spl0_12
| spl0_30
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3138,s822,s832,s2723,s781,s3585,s1394,s3363,s3357,s737,s3379,s1651,s609,s22,s254,s3115,s99,s2957,s3584,s3224,s6,s32,s1660,s681,s2,s3579,s658,s1177,s568]) ).
cnf(s3587,plain,
( ~ spl0_44
| spl0_261
| ~ spl0_205
| ~ spl0_41
| ~ spl0_384
| ~ spl0_275
| ~ spl0_277
| spl0_179
| ~ spl0_53 ),
inference(rat,[],[s1614,s672,s1585,s3093,s1781,s2962,s1120,s1119,s1822,s1113,s2807,s3232,s1745,s2238,s1687,s1836,s1837,s1846,s1670,s867,s658,s1507]) ).
cnf(s3588,plain,
( spl0_30
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1888,s2778,s3132,s3395,s2970,s2237,s3573,s3587,s3379,s3381,s1651,s22,s610,s254,s54,s2696,s1670,s1759,s1814,s1857,s64,s1995,s2125,s2172,s2177,s3586,s56,s578,s681,s2,s6,s32,s3579,s658,s568]) ).
cnf(s3589,plain,
( ~ spl0_146
| spl0_12
| ~ spl0_30
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s514,s1694,s1683,s823,s664,s3274,s3224]) ).
cnf(s3590,plain,
( spl0_344
| ~ spl0_174
| ~ spl0_19
| spl0_179
| spl0_137
| spl0_146
| ~ spl0_39 ),
inference(rat,[],[s2550,s1461,s1786,s1620,s3459,s1585]) ).
cnf(s3591,plain,
( ~ spl0_326
| ~ spl0_342
| ~ spl0_337
| spl0_209
| spl0_137 ),
inference(rat,[],[s2906,s2520,s3058,s2146,s1177]) ).
cnf(s3592,plain,
( ~ spl0_273
| spl0_338
| spl0_235
| ~ spl0_337
| spl0_209
| ~ spl0_45
| spl0_137
| ~ spl0_10
| ~ spl0_39
| spl0_44
| ~ spl0_2 ),
inference(rat,[],[s3183,s1916,s1519,s1906,s1526,s2429,s3591,s1857,s2882,s2550,s3230,s1250,s568]) ).
cnf(s3593,plain,
( ~ spl0_174
| ~ spl0_45
| ~ spl0_19
| spl0_179
| ~ spl0_131
| spl0_151
| spl0_137
| ~ spl0_222
| spl0_146
| ~ spl0_35
| ~ spl0_10
| ~ spl0_39
| spl0_44
| ~ spl0_2 ),
inference(rat,[],[s1526,s2429,s2682,s3058,s2575,s1648,s1947,s2520,s3475,s3592,s2273,s2570,s3341,s3590,s3491,s568,s658,s1250,s1177]) ).
cnf(s3594,plain,
( spl0_230
| spl0_338
| ~ spl0_337
| spl0_235
| spl0_273
| ~ spl0_19
| spl0_179
| spl0_137
| spl0_146
| ~ spl0_35
| ~ spl0_39
| ~ spl0_2 ),
inference(rat,[],[s1648,s1947,s3058,s2520,s1118,s3475,s1526,s2105,s658,s1250,s1177,s867]) ).
cnf(s3595,plain,
( spl0_137
| spl0_195
| ~ spl0_222
| spl0_146
| ~ spl0_40
| ~ spl0_10
| spl0_12
| ~ spl0_30
| spl0_11
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s1565,s1648,s2682,s1916,s3594,s2273,s3341,s1585,s3124,s2121,s3544,s1787,s3543,s2894,s3403,s3593,s2696,s2237,s1670,s3500,s3278,s2778,s2719,s710,s2722,s2233,s2499,s1688,s3129,s2970,s6,s33,s61,s781,s658,s1250,s568]) ).
cnf(s3596,plain,
( ~ spl0_376
| ~ spl0_284
| spl0_235
| ~ spl0_40
| ~ spl0_10
| ~ spl0_39 ),
inference(rat,[],[s3125,s1116,s2137,s1749,s3179,s2187,s2325,s867]) ).
cnf(s3597,plain,
( spl0_344
| ~ spl0_174
| ~ spl0_19
| spl0_179
| ~ spl0_152
| spl0_151
| spl0_146
| ~ spl0_40
| ~ spl0_10
| ~ spl0_39
| spl0_12 ),
inference(rat,[],[s2389,s2120,s1579,s1916,s3185,s3532,s3355,s3596,s1394,s3248,s1684,s1461,s1620,s1992,s1585,s1285,s781,s1787,s2149,s3543,s568,s1250,s658]) ).
cnf(s3598,plain,
( ~ spl0_229
| ~ spl0_174
| ~ spl0_19
| spl0_179
| spl0_146
| spl0_12
| ~ spl0_30
| ~ spl0_7 ),
inference(rat,[],[s3450,s1894,s1633,s2521,s3185,s1648,s33,s61,s3224,s658,s1250]) ).
cnf(s3599,plain,
( ~ spl0_174
| ~ spl0_152
| spl0_151
| ~ spl0_222
| spl0_12
| ~ spl0_30
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s1526,s2429,s2682,s3058,s2575,s3598,s2273,s2570,s3341,s3597,s3224,s50,s1660,s3129,s3589,s3132,s3278,s3500,s823,s568]) ).
cnf(s3600,plain,
( ~ spl0_285
| ~ spl0_134
| ~ spl0_19
| spl0_179
| ~ spl0_152
| spl0_151
| spl0_146
| ~ spl0_40
| ~ spl0_10
| spl0_12
| ~ spl0_30 ),
inference(rat,[],[s2065,s2520,s2075,s1947,s2429,s3532,s3546,s3355,s3232,s3596,s2584,s2121,s3248,s1684,s33,s61,s1285,s781,s1787,s3543,s3129,s1177,s568,s1507,s1250,s658]) ).
cnf(s3601,plain,
( ~ spl0_380
| ~ spl0_277
| ~ spl0_337
| spl0_285
| ~ spl0_259 ),
inference(rat,[],[s2488,s3106,s1116,s3217,s867]) ).
cnf(s3602,plain,
( spl0_230
| spl0_338
| spl0_235
| ~ spl0_337
| spl0_285
| ~ spl0_19
| spl0_179
| spl0_146
| spl0_12
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s1113,s2005,s2658,s2325,s3355,s3601,s1857,s3257,s1633,s2159,s3185,s1648,s3058,s1118,s1526,s3224,s1907,s1585,s1613,s3228,s1285,s781,s658,s1250,s867,s1443]) ).
cnf(s3603,plain,
( spl0_12
| spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1565,s1648,s2682,s1916,s3602,s2273,s2570,s3341,s1585,s1613,s3228,s3600,s3403,s3599,s1285,s3500,s3278,s3132,s3138,s1667,s3595,s823,s2723,s781,s3589,s50,s1660,s3224,s3129,s32,s3579,s1688,s3588,s658,s1250,s1443]) ).
cnf(s3604,plain,
( spl0_131
| spl0_151
| ~ spl0_177
| spl0_11
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s1888,s2778,s3132]) ).
cnf(s3605,plain,
( ~ spl0_42
| ~ spl0_131
| spl0_179
| ~ spl0_9 ),
inference(rat,[],[s3395,s2970]) ).
cnf(s3606,plain,
( ~ spl0_146
| ~ spl0_12
| ~ spl0_30
| spl0_11
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s2279,s88,s3240,s3573,s679,s2237,s38,s3605,s3604,s2270,s1698,s1688,s1670,s1995,s2696,s64,s3136,s14,s6,s568,s658]) ).
cnf(s3607,plain,
( spl0_42
| ~ spl0_166
| ~ spl0_460
| ~ spl0_12
| ~ spl0_30
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s2272,s679,s1392,s88,s1115,s2279,s1382,s3240,s3573,s39,s2237,s38,s6,s1688,s2177,s1670,s2696,s64,s2720,s1995,s658,s568]) ).
cnf(s3608,plain,
( spl0_5
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1647,s1565,s1945,s2702,s3190,s3337,s1892,s3191,s3250,s1969,s50,s1821,s2233,s2048,s2722,s2499,s2388,s710,s1667,s1668,s2778,s3132,s3605,s3607,s2720,s2723,s781,s3606,s3136,s14,s1995,s3603,s1688,s3588,s32,s3579,s6,s1177,s568,s658]) ).
cnf(s3609,plain,
( spl0_38
| spl0_131
| spl0_151
| ~ spl0_36
| ~ spl0_2 ),
inference(rat,[],[s514,s3522,s1846,s2957,s2958,s66]) ).
cnf(s3610,plain,
( spl0_131
| ~ spl0_13
| ~ spl0_146
| ~ spl0_36
| spl0_30
| ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s1120,s1781,s2120,s3262,s1728,s2575,s1585,s2117,s2124,s1394,s3363,s3357,s737,s1651,s22,s256,s252,s3609,s3132,s1698,s3274,s98,s664,s3128,s66,s867,s568,s1177]) ).
cnf(s3611,plain,
( spl0_38
| ~ spl0_171
| spl0_223
| ~ spl0_36 ),
inference(rat,[],[s1705,s33,s1846,s2957,s2958,s66]) ).
cnf(s3612,plain,
( spl0_7
| ~ spl0_146
| ~ spl0_36
| spl0_30
| ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s3138,s99,s1692,s33,s2238,s1705,s2894,s3582,s1651,s22,s2696,s256,s252,s3611,s3181,s3113,s1670,s595,s3610,s10,s578,s56,s1698,s3274,s98,s664,s3128,s66,s568,s658]) ).
cnf(s3613,plain,
( ~ spl0_146
| ~ spl0_36
| spl0_30
| ~ spl0_5
| ~ spl0_2 ),
inference(rat,[],[s1906,s1519,s1857,s2429,s3183,s2952,s1670,s3053,s2054,s1682,s3341,s2238,s2575,s1585,s1692,s2117,s2124,s3138,s2894,s3363,s3357,s3582,s737,s1651,s22,s2696,s256,s252,s99,s2957,s33,s823,s3583,s3612,s664,s3274,s1698,s98,s56,s3128,s66,s568,s1250,s658,s1177]) ).
cnf(s3614,plain,
( spl0_151
| spl0_152
| ~ spl0_222
| ~ spl0_166
| ~ spl0_104
| ~ spl0_5 ),
inference(rat,[],[s1285,s2720,s2808,s595,s2894,s3132]) ).
cnf(s3615,plain,
( spl0_30
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1906,s1646,s1857,s2429,s1565,s1730,s1840,s1945,s2702,s886,s2638,s2047,s1125,s2662,s1838,s3005,s1376,s2531,s2939,s2631,s2807,s1115,s2499,s2388,s710,s2712,s1666,s1667,s1668,s2719,s3614,s822,s2723,s3206,s781,s3613,s66,s25,s578,s681,s2,s3608,s568,s1250,s658]) ).
cnf(s3616,plain,
( ~ spl0_327
| ~ spl0_189
| ~ spl0_277
| spl0_285 ),
inference(rat,[],[s1906,s1519]) ).
cnf(s3617,plain,
( spl0_344
| spl0_159
| ~ spl0_45
| ~ spl0_131
| ~ spl0_35
| ~ spl0_222
| ~ spl0_260
| ~ spl0_10
| spl0_11
| ~ spl0_174
| ~ spl0_13
| spl0_285
| ~ spl0_146
| ~ spl0_39
| spl0_44
| spl0_12 ),
inference(rat,[],[s2488,s2610,s1116,s3355,s2287,s2325,s2930,s3467,s2146,s1118,s3616,s3262,s2575,s2650,s2133,s3183,s3185,s1930,s1119,s2662,s1838,s3519,s1763,s1115,s3487,s3198,s1857,s2273,s2882,s1922,s3226,s3230,s2531,s1394,s1786,s2123,s3459,s1585,s1698,s1860,s2204,s710,s664,s867,s568,s1250,s658]) ).
cnf(s3618,plain,
( ~ spl0_374
| spl0_388
| spl0_235
| ~ spl0_337
| spl0_147 ),
inference(rat,[],[s1116,s2425,s3125,s867]) ).
cnf(s3619,plain,
( spl0_376
| ~ spl0_262
| ~ spl0_275
| spl0_207
| spl0_235
| ~ spl0_337
| spl0_147
| ~ spl0_13 ),
inference(rat,[],[s2143,s2489,s1113,s2427,s1749,s3618,s2217,s3355,s658]) ).
cnf(s3620,plain,
( ~ spl0_146
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3618,s2137,s1749,s2187,s2325,s3619,s3005,s1838,s2650,s3058,s1118,s3616,s1814,s3183,s1970,s1857,s1962,s1947,s3250,s3257,s2520,s1735,s3475,s1115,s3592,s2684,s2273,s2570,s3341,s1907,s3617,s2233,s50,s2958,s252,s2696,s2237,s1699,s1670,s595,s3491,s710,s3522,s33,s1694,s664,s61,s807,s3128,s2718,s3403,s10,s3331,s1683,s1860,s3589,s3578,s3274,s1698,s2,s1688,s3129,s3615,s98,s3608,s867,s1250,s1177,s658,s568]) ).
cnf(s3621,plain,
( ~ spl0_36
| spl0_151
| ~ spl0_222
| spl0_44
| ~ spl0_5 ),
inference(rat,[],[s1699,s2237,s3403,s2696,s2894,s3138,s252,s822,s2958,s1670,s595,s3132,s568,s658]) ).
cnf(s3622,plain,
( ~ spl0_174
| spl0_137
| spl0_151
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2696,s2237,s3593,s1699,s1688,s3129,s98,s33,s61,s3128,s2716,s3615,s1670,s2720,s595,s3132,s2723,s3608,s781,s3620,s568,s658]) ).
cnf(s3623,plain,
( ~ spl0_230
| spl0_179
| ~ spl0_131
| ~ spl0_10
| spl0_146 ),
inference(rat,[],[s1565,s1648,s2682,s1916,s2720,s781,s658,s1250]) ).
cnf(s3624,plain,
( spl0_137
| spl0_151
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s3594,s2570,s2273,s3341,s1585,s1620,s3228,s3543,s3600,s2894,s3403,s3622,s3129,s98,s33,s61,s2720,s50,s3621,s1688,s3615,s3623,s595,s3132,s2723,s3128,s2716,s781,s3608,s3620,s1443,s658]) ).
cnf(s3625,plain,
( ~ spl0_174
| spl0_151
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s512,s513,s1892,s1584,s1894,s2521,s2388,s3185,s2962,s1648,s1781,s3058,s1840,s1120,s1118,s2120,s1526,s1394,s2273,s2570,s3341,s3597,s3623,s3128,s2716,s2149,s3543,s3138,s3624,s3129,s98,s2720,s595,s3132,s50,s3621,s2723,s781,s3620,s1688,s3615,s3608,s568,s658,s1250,s867]) ).
cnf(s3626,plain,
( spl0_151
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2002,s1113,s2137,s1749,s2658,s2187,s2325,s3355,s3601,s1857,s3257,s2159,s3185,s1648,s3058,s1118,s1526,s2273,s2570,s3341,s1907,s1585,s1620,s3228,s3600,s3403,s3625,s3138,s3624,s3623,s50,s3621,s1285,s2720,s595,s3132,s1688,s3129,s3615,s98,s2723,s3128,s2716,s781,s3620,s3608,s658,s1250,s867,s1443]) ).
cnf(s3627,plain,
( spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1970,s2939,s2696,s2807,s1692,s2686,s1947,s3250,s2685,s2499,s2388,s1825,s1667,s1668,s2719,s3626,s33,s61,s3128,s2716,s781,s3620,s3129,s1688,s3615,s98,s3608,s658,s568,s1250]) ).
cnf(s3628,plain,
( ~ spl0_334
| spl0_207
| ~ spl0_275
| ~ spl0_331
| ~ spl0_335
| spl0_230
| ~ spl0_235
| ~ spl0_14
| ~ spl0_28
| ~ spl0_174
| ~ spl0_222
| spl0_137
| ~ spl0_195
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2602,s2001,s1117,s3355,s2274,s2489,s3256,s2652,s2143,s2005,s2388,s1113,s1275,s3444,s2140,s2551,s1585,s2570,s3132,s1698,s867,s568,s658]) ).
cnf(s3629,plain,
( spl0_334
| ~ spl0_331
| spl0_344
| ~ spl0_321
| spl0_151 ),
inference(rat,[],[s2067,s2103,s2429,s1840,s2962,s1119,s2652,s2459,s1565,s3262,s1585,s568,s867]) ).
cnf(s3630,plain,
( ~ spl0_235
| ~ spl0_14
| ~ spl0_28
| ~ spl0_45
| ~ spl0_273
| ~ spl0_188
| ~ spl0_321
| ~ spl0_55
| ~ spl0_147
| ~ spl0_35
| ~ spl0_274
| ~ spl0_174
| ~ spl0_222
| spl0_137
| ~ spl0_195
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2575,s2054,s3450,s3628,s2140,s3629,s1814,s2389,s1970,s2215,s1532,s3535,s2570,s2551,s3132,s1698,s568]) ).
cnf(s3631,plain,
( spl0_230
| spl0_235
| ~ spl0_273
| ~ spl0_188
| ~ spl0_321
| ~ spl0_55
| ~ spl0_222
| ~ spl0_195
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3629,s1728,s2140,s2120,s1632,s2389,s2215,s1532,s10,s823,s1394,s568]) ).
cnf(s3632,plain,
( ~ spl0_45
| ~ spl0_44
| ~ spl0_179
| ~ spl0_15
| ~ spl0_222
| spl0_137
| ~ spl0_9
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2488,s3106,s1116,s3355,s2420,s2001,s3039,s2103,s1114,s2429,s1857,s3454,s3054,s2952,s3451,s1682,s3341,s1565,s3456,s2682,s3631,s1827,s3630,s1705,s9,s83,s2953,s681,s50,s3457,s3445,s3132,s1894,s1837,s57,s578,s513,s512,s1698,s2531,s2631,s2031,s3232,s1687,s1115,s3443,s2536,s3403,s1846,s33,s99,s3180,s10,s823,s3274,s2551,s2499,s867,s658,s568,s1507]) ).
cnf(s3633,plain,
( ~ spl0_235
| ~ spl0_58
| ~ spl0_273
| ~ spl0_188
| ~ spl0_321
| ~ spl0_55
| ~ spl0_147
| ~ spl0_35
| ~ spl0_274
| ~ spl0_174
| ~ spl0_222
| ~ spl0_195
| spl0_151 ),
inference(rat,[],[s2140,s3629,s3450,s2389,s1565,s2215,s2968,s1532,s3535,s2570,s2551,s3132,s568,s1250]) ).
cnf(s3634,plain,
( ~ spl0_44
| ~ spl0_179
| ~ spl0_222
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s1822,s1857,s2389,s2952,s1584,s3341,s3456,s3631,s3633,s1705,s2953,s3520,s600,s22,s610,s254,s54,s3632,s2531,s513,s2631,s3445,s512,s2031,s1115,s3443,s57,s2536,s33,s3232,s1894,s3403,s99,s1687,s1837,s1846,s578,s6,s2499,s2551,s3132,s1698,s3180,s10,s719,s1850,s823,s3274,s568,s658,s1507]) ).
cnf(s3635,plain,
( ~ spl0_350
| ~ spl0_39
| ~ spl0_223
| ~ spl0_273
| spl0_210
| ~ spl0_233
| ~ spl0_174
| spl0_44
| ~ spl0_13
| spl0_137
| ~ spl0_195
| ~ spl0_104
| ~ spl0_146 ),
inference(rat,[],[s1118,s2146,s1519,s3481,s3183,s3262,s2054,s1698,s3230,s2550,s867,s1250]) ).
cnf(s3636,plain,
( ~ spl0_39
| ~ spl0_223
| ~ spl0_273
| spl0_210
| ~ spl0_233
| ~ spl0_174
| spl0_44
| ~ spl0_13
| spl0_137
| ~ spl0_195
| ~ spl0_104
| ~ spl0_146 ),
inference(rat,[],[s1519,s3183,s2429,s1947,s2146,s2520,s2906,s1565,s3635,s2550,s3503,s3230,s1250,s568,s1177]) ).
cnf(s3637,plain,
( ~ spl0_235
| ~ spl0_321
| ~ spl0_147
| ~ spl0_174
| spl0_44
| ~ spl0_222
| spl0_137
| spl0_5
| ~ spl0_195
| spl0_30
| ~ spl0_146 ),
inference(rat,[],[s2067,s2103,s2429,s2146,s2520,s2906,s1565,s2968,s600,s22,s254,s3115,s3636,s1706,s3230,s33,s2953,s1786,s1940,s2957,s2958,s3459,s1585,s3535,s3466,s2570,s6,s2551,s3132,s1698,s10,s823,s3503,s578,s568,s1177,s1250]) ).
cnf(s3638,plain,
( ~ spl0_55
| ~ spl0_273
| spl0_230
| spl0_235
| ~ spl0_321
| spl0_209
| ~ spl0_222
| spl0_137
| ~ spl0_195
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s2389,s1632,s2215,s2140,s1571,s3262,s2575,s2801,s2520,s3631,s568,s1177]) ).
cnf(s3639,plain,
( ~ spl0_36
| ~ spl0_26
| ~ spl0_273
| ~ spl0_174
| spl0_44
| ~ spl0_222
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s254,s3115,s22,s3508,s3555,s1698,s6,s2551,s10,s719,s1850,s823,s3274]) ).
cnf(s3640,plain,
( ~ spl0_273
| spl0_230
| ~ spl0_147
| ~ spl0_174
| spl0_44
| ~ spl0_222
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2575,s3262,s2801,s3467,s2520,s3250,s2215,s1120,s1763,s2120,s3468,s2203,s2550,s90,s9,s681,s3639,s2957,s33,s57,s3638,s3230,s1698,s6,s3180,s10,s3503,s3469,s578,s1394,s3637,s1115,s3443,s719,s1850,s823,s2551,s3274,s568,s1177,s867,s658]) ).
cnf(s3641,plain,
( spl0_230
| ~ spl0_147
| ~ spl0_174
| spl0_44
| ~ spl0_222
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s1118,s3591,s1526,s3235,s2273,s3233,s3341,s1907,s2031,s3459,s2631,s1787,s3640,s1698,s2499,s3503,s578,s3637,s1115,s3443,s719,s1850,s823,s2551,s3274,s867,s1250,s658,s568]) ).
cnf(s3642,plain,
( spl0_344
| ~ spl0_188
| ~ spl0_229
| ~ spl0_321
| ~ spl0_174
| spl0_44
| spl0_137 ),
inference(rat,[],[s2067,s2103,s2429,s2146,s3230,s1786,s3459,s568]) ).
cnf(s3643,plain,
( ~ spl0_381
| ~ spl0_277
| spl0_285
| ~ spl0_337
| ~ spl0_195 ),
inference(rat,[],[s2488,s3106,s1116,s3355,s2420,s2001,s867]) ).
cnf(s3644,plain,
( ~ spl0_273
| spl0_381
| ~ spl0_313
| ~ spl0_188
| ~ spl0_229
| ~ spl0_230
| spl0_312
| ~ spl0_321
| spl0_44
| ~ spl0_15
| spl0_11 ),
inference(rat,[],[s1114,s3039,s3454,s2103,s2495,s2429,s2389,s2146,s2215,s3230,s3250,s658,s568]) ).
cnf(s3645,plain,
( ~ spl0_147
| ~ spl0_174
| ~ spl0_179
| ~ spl0_222
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3454,s1114,s3183,s3039,s3616,s2103,s2429,s2146,s3235,s3233,s2031,s2631,s3644,s3643,s1857,s3228,s2952,s1682,s3341,s1907,s3642,s2520,s2906,s1565,s2682,s3641,s1827,s3637,s1115,s3443,s6,s2499,s2551,s3132,s1698,s719,s1850,s823,s3634,s3503,s3274,s578,s658,s1250,s568,s1443,s1177]) ).
cnf(s3646,plain,
( ~ spl0_174
| ~ spl0_179
| ~ spl0_222
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2684,s1115,s2233,s3055,s50,s3466,s3639,s3511,s2957,s33,s2536,s710,s3645,s2551,s3132,s1698,s3180,s10,s719,s1850,s823,s3274,s3634,s658]) ).
cnf(s3647,plain,
( ~ spl0_327
| ~ spl0_229
| spl0_344
| ~ spl0_321 ),
inference(rat,[],[s2067,s2103]) ).
cnf(s3648,plain,
( spl0_342
| ~ spl0_321
| spl0_283
| spl0_44
| ~ spl0_149 ),
inference(rat,[],[s2031,s3232,s2631,s3235,s3230,s1507]) ).
cnf(s3649,plain,
( spl0_230
| spl0_344
| ~ spl0_342
| ~ spl0_321
| ~ spl0_58
| ~ spl0_35
| spl0_137
| ~ spl0_195 ),
inference(rat,[],[s2146,s1118,s2520,s3647,s2906,s1565,s2968,s2105,s867,s1177,s1250]) ).
cnf(s3650,plain,
( spl0_344
| ~ spl0_342
| ~ spl0_321
| ~ spl0_147
| ~ spl0_58
| ~ spl0_35
| ~ spl0_15
| ~ spl0_131
| spl0_11
| spl0_137
| ~ spl0_195
| ~ spl0_104 ),
inference(rat,[],[s2801,s2107,s2520,s3054,s2146,s1118,s3647,s1565,s2682,s3535,s3649,s1177,s867]) ).
cnf(s3651,plain,
( ~ spl0_344
| ~ spl0_203
| ~ spl0_152
| ~ spl0_195 ),
inference(rat,[],[s1609,s1682,s1443,s1507]) ).
cnf(s3652,plain,
( ~ spl0_147
| spl0_344
| spl0_283
| ~ spl0_58
| ~ spl0_35
| spl0_44
| ~ spl0_15
| ~ spl0_131
| spl0_11
| spl0_137
| ~ spl0_195
| ~ spl0_104
| ~ spl0_146 ),
inference(rat,[],[s3650,s3648,s1115,s3443,s2499,s658,s568]) ).
cnf(s3653,plain,
( ~ spl0_321
| ~ spl0_160
| spl0_344
| spl0_283
| ~ spl0_58
| spl0_159
| ~ spl0_35
| spl0_44
| ~ spl0_131
| spl0_11
| spl0_137
| ~ spl0_195 ),
inference(rat,[],[s3519,s3649,s2684,s3648,s2499,s568]) ).
cnf(s3654,plain,
( spl0_230
| ~ spl0_342
| ~ spl0_337
| ~ spl0_160
| spl0_344
| ~ spl0_58
| ~ spl0_35
| spl0_137
| ~ spl0_195 ),
inference(rat,[],[s2429,s2067,s1565,s3591,s2113,s2968,s2105,s568,s1250]) ).
cnf(s3655,plain,
( ~ spl0_179
| ~ spl0_222
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3052,s3183,s2110,s1822,s3616,s2067,s2389,s2429,s1565,s1980,s1998,s2682,s3005,s3654,s3230,s1786,s3124,s3232,s1991,s1857,s2289,s3248,s3257,s3226,s3198,s1735,s3055,s1115,s3653,s710,s3652,s1585,s3651,s3356,s1651,s600,s2233,s22,s610,s50,s254,s54,s822,s1880,s33,s2894,s484,s3403,s3646,s3634,s578,s2499,s2551,s3132,s1698,s10,s719,s1850,s823,s3274,s1250,s568,s1507,s658]) ).
cnf(s3656,plain,
( ~ spl0_44
| ~ spl0_171
| spl0_223 ),
inference(rat,[],[s33,s1705,s99,s1846]) ).
cnf(s3657,plain,
( ~ spl0_350
| ~ spl0_14
| ~ spl0_28
| ~ spl0_134
| ~ spl0_222
| ~ spl0_149
| ~ spl0_146 ),
inference(rat,[],[s2685,s1892,s2388,s1894,s1275,s2141,s2140,s3263,s3262,s2894,s1698,s568]) ).
cnf(s3658,plain,
( spl0_342
| spl0_350
| ~ spl0_233
| ~ spl0_321
| spl0_44
| ~ spl0_149 ),
inference(rat,[],[s2389,s2663,s3141,s2630,s3648,s3230,s568]) ).
cnf(s3659,plain,
( ~ spl0_35
| spl0_344
| ~ spl0_147
| ~ spl0_171
| spl0_223
| ~ spl0_15
| ~ spl0_13
| ~ spl0_222
| spl0_137
| spl0_30
| ~ spl0_146 ),
inference(rat,[],[s3054,s3535,s2107,s2105,s2801,s2520,s2146,s3658,s1118,s3647,s1565,s3657,s9,s83,s681,s50,s822,s2894,s1705,s578,s2499,s3132,s1698,s3180,s3656,s1115,s3443,s2551,s1585,s1177,s867,s658,s568]) ).
cnf(s3660,plain,
( ~ spl0_26
| ~ spl0_147
| ~ spl0_222
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3478,s3641,s3403,s484,s2957,s2551,s3132,s1698,s3656,s3181,s1670,s3113,s3655,s578,s10,s823,s3274,s568,s658]) ).
cnf(s3661,plain,
( ~ spl0_147
| ~ spl0_222
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2031,s3232,s2631,s2289,s1878,s3341,s2894,s3659,s1705,s33,s3660,s1115,s3443,s1698,s2499,s2551,s719,s1850,s3113,s578,s10,s3181,s1670,s3655,s823,s3274,s1507,s658,s568]) ).
cnf(s3662,plain,
( ~ spl0_321
| spl0_350
| spl0_159
| ~ spl0_35
| spl0_344
| ~ spl0_160
| spl0_44
| ~ spl0_131
| spl0_11
| spl0_137 ),
inference(rat,[],[s2520,s2906,s2146,s2105,s1118,s3519,s3647,s3658,s2684,s2499,s1585,s1565,s1177,s867,s568]) ).
cnf(s3663,plain,
( ~ spl0_320
| ~ spl0_233
| ~ spl0_413
| ~ spl0_15
| ~ spl0_222
| ~ spl0_146 ),
inference(rat,[],[s2175,s2312,s2273,s1857,s3198,s3257,s2532,s1735,s3055]) ).
cnf(s3664,plain,
( ~ spl0_35
| ~ spl0_321
| spl0_344
| ~ spl0_14
| ~ spl0_160
| ~ spl0_171
| spl0_223
| spl0_54
| ~ spl0_222
| spl0_137
| ~ spl0_146 ),
inference(rat,[],[s3657,s3662,s83,s2233,s50,s822,s2894,s1705,s2499,s2551,s3132,s1698,s3656,s568]) ).
cnf(s3665,plain,
( spl0_344
| ~ spl0_14
| spl0_147
| ~ spl0_39
| ~ spl0_171
| ~ spl0_413
| spl0_223
| ~ spl0_15
| spl0_54
| ~ spl0_222
| spl0_137
| spl0_5
| ~ spl0_195
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2123,s1394,s2203,s3466,s3511,s3403,s484,s2957,s33,s3664,s1115,s3663,s1585,s2551,s3132,s1698,s10,s823,s710,s658]) ).
cnf(s3666,plain,
( ~ spl0_222
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s1115,s1393,s3055,s2273,s2570,s3341,s3665,s2279,s3661,s3115,s3656,s2696,s2237,s3181,s2846,s3605,s3113,s1670,s3655,s719,s3180,s1850,s10,s47,s823,s3132,s1698,s578,s3274,s6,s658,s568]) ).
cnf(s3667,plain,
( ~ spl0_335
| spl0_344
| spl0_183
| ~ spl0_174
| spl0_137
| spl0_12
| ~ spl0_146 ),
inference(rat,[],[s2602,s2621,s1117,s3176,s2483,s2001,s3245,s3355,s2489,s2143,s1113,s1461,s3444,s1793,s2054,s1813,s3629,s2575,s2389,s3303,s1814,s2215,s1970,s1698,s3274,s2205,s1115,s1735,s3257,s2531,s1786,s3459,s3268,s1585,s1250,s867,s658,s568]) ).
cnf(s3668,plain,
( spl0_11
| spl0_335
| spl0_283
| spl0_344
| ~ spl0_15
| ~ spl0_44
| spl0_222
| ~ spl0_9
| spl0_12
| ~ spl0_104
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3456,s692,s1532,s50,s3445,s3457,s3522,s1698,s1894,s1837,s57,s1689,s1696,s2205,s3224,s664,s1708,s3085,s2031,s1115,s1735,s3257,s3268,s1585,s1826,s2993,s3403,s1846,s33,s99,s3232,s1687,s1507,s658]) ).
cnf(s3669,plain,
( spl0_344
| ~ spl0_15
| ~ spl0_44
| spl0_222
| spl0_137
| ~ spl0_9
| spl0_12
| ~ spl0_104
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3101,s3656,s2175,s3084,s3105,s3668,s3667,s2531,s1786,s3459,s1585,s3232,s1687,s1826,s2993,s3403,s1846,s33,s99,s1507]) ).
cnf(s3670,plain,
( spl0_11
| ~ spl0_344
| ~ spl0_15
| ~ spl0_45
| spl0_54
| ~ spl0_147
| ~ spl0_44
| ~ spl0_9
| spl0_12
| ~ spl0_104
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3039,s1114,s2103,s3454,s2429,s1565,s2120,s3054,s2054,s2389,s3643,s3451,s1584,s1857,s513,s2952,s512,s3113,s2031,s3656,s1827,s1394,s1115,s2953,s2570,s3443,s3457,s3522,s1837,s99,s3403,s1846,s3232,s1687,s3341,s1698,s1728,s10,s3224,s664,s1682,s3274,s658,s568,s1507]) ).
cnf(s3671,plain,
( ~ spl0_44
| spl0_222
| spl0_137
| spl0_5
| spl0_12
| ~ spl0_104
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s1857,s3616,s2952,s3183,s3113,s2429,s2054,s3656,s3058,s2575,s2953,s3450,s66,s2033,s3670,s1682,s3341,s3669,s719,s1850,s10,s3224,s2205,s664,s1826,s1689,s1708,s2993,s33,s1894,s3403,s99,s1837,s1846,s1698,s3274,s6,s1696,s1250,s568]) ).
cnf(s3672,plain,
( spl0_134
| ~ spl0_35
| spl0_344
| spl0_44
| spl0_222
| spl0_137
| ~ spl0_9
| ~ spl0_104 ),
inference(rat,[],[s2882,s3230,s3268,s2205,s1786,s1826,s3459,s2994,s3403,s1585]) ).
cnf(s3673,plain,
( ~ spl0_35
| ~ spl0_179
| ~ spl0_13
| ~ spl0_147
| ~ spl0_15
| spl0_11
| spl0_344
| spl0_44
| spl0_222
| spl0_137
| spl0_5
| ~ spl0_195
| spl0_30
| ~ spl0_146 ),
inference(rat,[],[s3356,s3652,s1651,s600,s22,s254,s1880,s2894,s3672,s1698,s578,s6,s2778,s568]) ).
cnf(s3674,plain,
( ~ spl0_39
| ~ spl0_272
| spl0_230
| ~ spl0_273
| spl0_368
| spl0_209
| ~ spl0_38
| ~ spl0_13
| spl0_44
| spl0_137
| ~ spl0_9
| spl0_151 ),
inference(rat,[],[s2575,s3262,s2801,s3467,s2520,s3250,s2215,s1120,s1763,s2120,s3468,s2203,s2550,s3230,s568,s1177,s867]) ).
cnf(s3675,plain,
( ~ spl0_26
| spl0_7
| ~ spl0_131
| ~ spl0_15
| spl0_11
| spl0_44
| spl0_222
| spl0_137
| spl0_5
| ~ spl0_195
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s50,s3553,s694,s22,s671,s2205,s254,s2696,s3115,s3674,s1394,s3478,s3466,s3511,s3469,s3503,s3403,s484,s2957,s1698,s578,s6,s10,s568]) ).
cnf(s3676,plain,
( ~ spl0_147
| ~ spl0_15
| spl0_11
| spl0_344
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2312,s2175,s1857,s2232,s2882,s3230,s3462,s681,s9,s94,s2696,s971,s2237,s2846,s1670,s3673,s3672,s2970,s33,s3675,s10,s47,s3224,s2778,s664,s3274,s6,s1696,s3671,s3666,s578,s1585,s568,s658]) ).
cnf(s3677,plain,
( ~ spl0_230
| ~ spl0_131
| spl0_261
| ~ spl0_205
| ~ spl0_134
| ~ spl0_235
| spl0_11
| ~ spl0_233
| ~ spl0_146 ),
inference(rat,[],[s2141,s2962,s1822,s1119,s3232,s1857,s2652,s2289,s3257,s2459,s3198,s1735,s2389,s1115,s1980,s3519,s2682,s3005,s2532,s867,s1507,s568,s658]) ).
cnf(s3678,plain,
( ~ spl0_350
| ~ spl0_203
| ~ spl0_152
| ~ spl0_195 ),
inference(rat,[],[s1572,s2054,s1177,s1250]) ).
cnf(s3679,plain,
( ~ spl0_134
| ~ spl0_179
| spl0_147
| spl0_11
| spl0_344
| spl0_222
| ~ spl0_195
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s1822,s2141,s3232,s1857,s2962,s2289,s3257,s1119,s3198,s1735,s2652,s1115,s2459,s3647,s2389,s2429,s1980,s1998,s3005,s2117,s1565,s3678,s3381,s1651,s22,s610,s254,s54,s1880,s2894,s1698,s578,s3226,s2532,s2124,s1585,s1507,s867,s658,s568]) ).
cnf(s3680,plain,
( spl0_147
| spl0_11
| spl0_344
| spl0_222
| spl0_137
| spl0_5
| ~ spl0_195
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s1926,s1786,s2957,s3459,s1708,s3403,s3679,s1670,s2124,s1888,s1585,s658]) ).
cnf(s3681,plain,
( spl0_11
| spl0_344
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s1850,s719,s3224,s3676,s664,s3680,s3274,s3666]) ).
cnf(s3682,plain,
( spl0_344
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s1572,s2054,s2894,s1651,s2575,s3672,s22,s3647,s33,s254,s1115,s2429,s90,s3115,s2515,s2508,s2337,s2715,s75,s9,s3180,s10,s681,s50,s32,s66,s3681,s1698,s3274,s6,s3671,s3666,s578,s1177,s1250,s568,s658]) ).
cnf(s3683,plain,
( spl0_134
| ~ spl0_342
| ~ spl0_35
| spl0_285
| ~ spl0_337
| spl0_44
| spl0_222
| spl0_137
| ~ spl0_9
| ~ spl0_195
| ~ spl0_104 ),
inference(rat,[],[s2906,s2520,s1565,s1947,s2054,s3183,s3616,s1857,s2882,s3115,s2429,s2205,s3591,s1826,s3503,s2994,s3403,s1177,s1250,s568]) ).
cnf(s3684,plain,
( ~ spl0_147
| ~ spl0_15
| spl0_11
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2031,s2631,s3232,s1878,s2289,s2894,s3683,s3648,s33,s1115,s3675,s3224,s3443,s2778,s664,s6,s2499,s3671,s3666,s578,s1907,s3341,s1698,s1682,s3682,s3274,s1507,s658,s568]) ).
cnf(s3685,plain,
( ~ spl0_152
| ~ spl0_179
| ~ spl0_344
| ~ spl0_195
| spl0_30 ),
inference(rat,[],[s22,s1651,s254,s1880,s3651,s568]) ).
cnf(s3686,plain,
( spl0_147
| spl0_11
| ~ spl0_344
| spl0_222
| spl0_137
| spl0_5
| ~ spl0_195
| spl0_30
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3616,s3183,s2429,s2054,s3058,s2575,s2801,s2520,s1897,s2957,s1708,s3503,s3403,s2894,s3685,s1857,s2952,s1670,s3510,s1888,s578,s6,s3341,s1682,s1250,s568,s1177,s658]) ).
cnf(s3687,plain,
( spl0_11
| spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s1850,s719,s3224,s3684,s664,s3686,s1698,s3274,s3666,s3682]) ).
cnf(s3688,plain,
( spl0_137
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3683,s3648,s33,s1115,s2894,s90,s2515,s3685,s2337,s2715,s1670,s75,s971,s3180,s9,s10,s50,s2718,s32,s66,s3687,s3331,s1682,s3341,s1907,s3682,s3671,s1696,s3666,s2499,s1698,s578,s3274,s6,s658,s568]) ).
cnf(s3689,plain,
( ~ spl0_222
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s9,s90,s681,s822,s3138,s99,s3325,s719,s1850,s10,s823,s3274,s1860,s3688]) ).
cnf(s3690,plain,
( ~ spl0_44
| spl0_222
| ~ spl0_137
| spl0_5
| spl0_12
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3224,s1850,s664,s719,s1708,s3325,s3403,s99,s1846]) ).
cnf(s3691,plain,
( spl0_11
| ~ spl0_26
| spl0_344
| ~ spl0_229
| spl0_222
| ~ spl0_137
| spl0_5
| ~ spl0_195
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2065,s3503,s2429,s3403,s2520,s1998,s3679,s1897,s1926,s3226,s1670,s2117,s2124,s1888,s987,s2957,s578,s1585,s568,s1177,s658]) ).
cnf(s3692,plain,
( ~ spl0_26
| spl0_344
| ~ spl0_229
| spl0_222
| ~ spl0_137
| spl0_5
| ~ spl0_195
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s9,s10,s681,s67,s32,s66,s3691,s1860]) ).
cnf(s3693,plain,
( spl0_344
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3679,s3403,s1670,s1708,s1888,s664,s3224,s32,s1850,s719,s3325,s3692,s1565,s3678,s1651,s22,s254,s3115,s1860,s3138,s3690,s3689,s3688,s3274,s658,s568]) ).
cnf(s3694,plain,
( spl0_5
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3651,s3693,s1651,s22,s254,s3115,s3138,s3690,s3689,s1860,s3688,s3274,s568]) ).
cnf(s3695,plain,
( ~ spl0_194
| ~ spl0_39
| ~ spl0_13
| ~ spl0_40 ),
inference(rat,[],[s2160,s1962]) ).
cnf(s3696,plain,
( spl0_344
| spl0_137
| ~ spl0_35
| ~ spl0_14
| spl0_54
| spl0_179
| ~ spl0_10
| ~ spl0_222
| ~ spl0_40
| spl0_12
| ~ spl0_104
| ~ spl0_146 ),
inference(rat,[],[s3616,s2429,s3183,s1998,s1916,s1838,s2650,s3695,s3115,s2696,s672,s1614,s3247,s3232,s1857,s2289,s3257,s3198,s3226,s2531,s1394,s1786,s2123,s3124,s2204,s1991,s3248,s1735,s1115,s3664,s1585,s2551,s710,s664,s3656,s1565,s3657,s2499,s1705,s3181,s1670,s3113,s10,s823,s3274,s83,s568,s1250,s1507,s658]) ).
cnf(s3697,plain,
( ~ spl0_39
| spl0_235
| ~ spl0_337
| ~ spl0_229
| spl0_147
| ~ spl0_13
| spl0_11
| ~ spl0_40
| ~ spl0_5 ),
inference(rat,[],[s3618,s2137,s1749,s2187,s2325,s3619,s1814,s1376,s1916,s3005,s1838,s2650,s3695,s3128]) ).
cnf(s3698,plain,
( spl0_137
| ~ spl0_14
| spl0_54
| ~ spl0_222
| spl0_36
| ~ spl0_5
| spl0_12
| ~ spl0_104
| ~ spl0_146 ),
inference(rat,[],[s2696,s2237,s3115,s86,s3697,s2570,s3341,s3696,s1565,s3657,s2499,s664,s3128,s2800,s83,s50,s3656,s1705,s33,s2957,s3437,s2551,s3181,s1670,s3113,s595,s3132,s1698,s10,s823,s3274,s568,s658]) ).
cnf(s3699,plain,
( spl0_230
| ~ spl0_229
| spl0_344
| spl0_283
| ~ spl0_41
| spl0_147
| ~ spl0_13
| spl0_179
| ~ spl0_40 ),
inference(rat,[],[s1614,s672,s1857,s3247,s3232,s3257,s3235,s2159,s2146,s1118,s2160,s2133,s2067,s2650,s2113,s1838,s710,s1585,s1507,s867]) ).
cnf(s3700,plain,
( ~ spl0_222
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3225,s1393,s3447,s1115,s1735,s3248,s2204,s2123,s1394,s3677,s3699,s1565,s1585,s3678,s3651,s3381,s3356,s1651,s22,s610,s254,s54,s2696,s3115,s1860,s3698,s2894,s1705,s33,s2957,s3656,s3437,s3181,s9,s3180,s3113,s1670,s664,s10,s595,s3128,s823,s3132,s2551,s1698,s578,s3274,s50,s681,s3613,s3694,s658,s568]) ).
cnf(s3701,plain,
( ~ spl0_368
| ~ spl0_35
| ~ spl0_10
| ~ spl0_104 ),
inference(rat,[],[s2325,s2929,s2930]) ).
cnf(s3702,plain,
( ~ spl0_350
| ~ spl0_367
| spl0_368
| ~ spl0_152
| spl0_137
| spl0_151 ),
inference(rat,[],[s3467,s3263,s3262]) ).
cnf(s3703,plain,
( ~ spl0_230
| ~ spl0_277
| spl0_285
| ~ spl0_282
| ~ spl0_10 ),
inference(rat,[],[s3616,s2429,s3183,s1998,s1916,s568,s1250]) ).
cnf(s3704,plain,
( spl0_11
| ~ spl0_233
| spl0_137
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s22,s1651,s254,s3115,s3487,s3157,s3702,s3678,s2575,s2117,s3703,s3701,s3230,s2894,s1846,s3403,s1708,s33,s2957,s1926,s1786,s3124,s1857,s1991,s1730,s1684,s3226,s2124,s664,s3128,s1698,s578,s3274,s3694,s3700,s568,s1443]) ).
cnf(s3705,plain,
( ~ spl0_44
| ~ spl0_244
| ~ spl0_171
| ~ spl0_233 ),
inference(rat,[],[s3101,s3232,s3656,s1687,s1507]) ).
cnf(s3706,plain,
( spl0_344
| spl0_137
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2205,s671,s3403,s2894,s3678,s2575,s1651,s3647,s22,s1115,s2429,s254,s2696,s2515,s2508,s3115,s2715,s3705,s2337,s75,s694,s3180,s10,s2175,s3084,s32,s3105,s3704,s1585,s1698,s3274,s50,s3613,s3694,s3700,s568,s658]) ).
cnf(s3707,plain,
( ~ spl0_44
| spl0_147
| spl0_222
| ~ spl0_2 ),
inference(rat,[],[s1708,s3403,s99,s1846]) ).
cnf(s3708,plain,
( spl0_134
| spl0_147
| spl0_11
| spl0_285
| ~ spl0_337
| spl0_137
| spl0_222
| ~ spl0_5
| ~ spl0_195
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s3616,s3183,s2429,s2054,s3058,s2575,s1857,s2117,s2952,s3363,s1670,s737,s2238,s1651,s1692,s22,s2696,s256,s252,s2957,s1708,s3403,s56,s3128,s1250,s568,s1177,s658]) ).
cnf(s3709,plain,
( ~ spl0_350
| ~ spl0_152
| spl0_279
| ~ spl0_344
| spl0_151 ),
inference(rat,[],[s1120,s1781,s1630,s3262,s1681,s867]) ).
cnf(s3710,plain,
( spl0_11
| spl0_137
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2489,s1113,s3355,s2427,s2325,s1749,s3618,s2145,s1811,s3226,s3643,s3703,s1857,s3257,s1735,s1115,s2631,s1825,s33,s2957,s1897,s2520,s3475,s2107,s1916,s3005,s2117,s1565,s3709,s1670,s3685,s1878,s2894,s3708,s664,s3128,s3694,s1696,s3700,s2499,s1907,s3341,s1698,s1991,s1682,s3706,s3274,s578,s658,s1177,s568]) ).
cnf(s3711,plain,
( ~ spl0_350
| ~ spl0_277
| spl0_285
| ~ spl0_337
| ~ spl0_195 ),
inference(rat,[],[s3616,s2429,s3183,s3053,s2054,s568,s1250]) ).
cnf(s3712,plain,
( spl0_137
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s671,s2205,s2696,s3115,s1837,s3337,s3102,s1565,s3711,s1705,s2953,s3403,s1857,s2894,s33,s2952,s3685,s90,s1670,s2337,s971,s75,s9,s694,s3180,s10,s1821,s32,s2033,s3710,s1682,s3341,s3706,s1698,s3274,s50,s681,s3613,s3694,s1696,s3700,s568,s1177,s658]) ).
cnf(s3713,plain,
( spl0_11
| spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s1857,s3703,s1730,s1684,s3226,s2117,s2124,s1565,s1585,s3678,s3651,s1651,s22,s254,s3138,s3115,s3707,s664,s3128,s3274,s3694,s3700,s1860,s3712,s568]) ).
cnf(s3714,plain,
( spl0_344
| ~ spl0_65
| ~ spl0_11
| spl0_39
| ~ spl0_137
| ~ spl0_195
| spl0_30 ),
inference(rat,[],[s2575,s3678,s3647,s1651,s1115,s2429,s22,s2515,s2508,s254,s2715,s3138,s3115,s3705,s3084,s1585,s2175,s3105,s568,s658]) ).
cnf(s3715,plain,
( spl0_12
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3450,s1565,s1894,s3711,s3403,s1837,s1857,s2894,s3138,s2952,s3685,s1682,s3341,s3714,s33,s1670,s90,s971,s75,s9,s3180,s10,s32,s2033,s3713,s1860,s3712,s1696,s3700,s681,s50,s3613,s3694,s3274,s1698,s658]) ).
cnf(s3716,plain,
( spl0_137
| ~ spl0_12
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s2845,s47,s591,s32,s1710,s3604,s506,s3605,s2237,s1670,s1995,s6,s98,s2696,s64,s568,s658]) ).
cnf(s3717,plain,
( ~ spl0_230
| spl0_344
| spl0_11
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3225,s1393,s3447,s3677,s3356,s2238,s1963,s3240,s3136,s14,s3573,s1115,s1382,s39,s38,s3605,s3604,s1670,s6,s98,s3587,s3381,s1651,s22,s254,s610,s54,s578,s2696,s64,s1857,s1814,s2172,s1759,s2125,s1995,s56,s3716,s1698,s2177,s3715,s1585,s658,s568]) ).
cnf(s3718,plain,
( spl0_344
| spl0_11
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2149,s3230,s2123,s2146,s1394,s2160,s1118,s1980,s2650,s3647,s1120,s1565,s3629,s3262,s2638,s2140,s1125,s1838,s3717,s1585,s50,s710,s1888,s3240,s3136,s14,s3573,s1115,s1382,s2388,s1279,s39,s38,s3605,s3604,s1670,s6,s98,s3587,s3381,s1651,s22,s254,s610,s54,s578,s2696,s64,s1857,s2177,s1814,s1759,s2125,s1995,s56,s2172,s3716,s3715,s1698,s867,s568,s658]) ).
cnf(s3719,plain,
( spl0_11
| spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s1393,s2273,s2570,s3341,s3718,s1115,s1382,s39,s1888,s38,s3240,s3605,s3136,s3604,s14,s6,s3573,s3716,s1698,s3587,s3381,s1651,s22,s254,s610,s54,s578,s2696,s64,s1857,s2177,s1814,s2172,s1759,s2125,s56,s1670,s1995,s98,s3715,s658,s568]) ).
cnf(s3720,plain,
( spl0_30
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s9,s971,s10,s1696,s32,s2551,s3719,s681,s3573,s3716,s3587,s3381,s1651,s22,s610,s254,s54,s2696,s1670,s1759,s1814,s1857,s64,s98,s1995,s2125,s2172,s2177,s3715,s56,s578,s1698,s568,s658]) ).
cnf(s3721,plain,
( spl0_5
| ~ spl0_273
| ~ spl0_131
| spl0_12
| spl0_11
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3485,s2953,s50,s3477,s33,s719,s3557,s1850,s6,s1698,s1688,s1860,s3129,s10,s3589,s3403,s1683,s3274,s3720]) ).
cnf(s3722,plain,
( spl0_344
| ~ spl0_222
| spl0_12
| spl0_11
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2488,s1988,s1113,s1116,s3355,s2326,s2287,s2325,s2607,s2930,s3467,s2146,s1118,s3616,s3183,s3262,s2054,s2575,s2650,s1838,s1763,s3703,s3487,s1857,s1730,s3226,s1394,s2123,s33,s3695,s664,s61,s50,s3128,s3621,s3721,s3230,s1786,s3459,s1585,s1688,s1860,s3129,s3403,s1683,s3274,s2204,s10,s3589,s3578,s3720,s3132,s1698,s658,s867,s1250,s568]) ).
cnf(s3723,plain,
( spl0_5
| ~ spl0_131
| spl0_12
| spl0_11
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3486,s2953,s50,s3477,s33,s719,s3557,s1850,s6,s1698,s1688,s1860,s3129,s10,s3589,s3403,s1683,s3274,s3720]) ).
cnf(s3724,plain,
( ~ spl0_222
| spl0_12
| spl0_11
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3251,s3257,s3711,s1735,s2575,s1115,s3697,s1393,s664,s50,s3128,s3621,s3723,s2273,s2570,s3341,s1907,s3722,s3132,s1698,s1688,s3274,s3129,s3578,s10,s3589,s3720,s1443,s568,s658]) ).
cnf(s3725,plain,
( spl0_5
| spl0_12
| spl0_11
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3522,s3723,s3557,s1698,s3589,s3403,s1683,s3274,s3720]) ).
cnf(s3726,plain,
( spl0_12
| spl0_11
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s1694,s664,s3128,s3725,s3724,s3403,s1683,s3274,s3720]) ).
cnf(s3727,plain,
( spl0_11
| ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s3606,s98,s3726,s3720]) ).
cnf(s3728,plain,
( spl0_12
| ~ spl0_11
| ~ spl0_30
| ~ spl0_146 ),
inference(rat,[],[s1689,s75,s3403,s2337,s1683,s3129,s3274,s1696,s2551,s50,s66]) ).
cnf(s3729,plain,
( ~ spl0_146
| ~ spl0_2 ),
inference(rat,[],[s2075,s2065,s3232,s2520,s2429,s2289,s3263,s3053,s1878,s3341,s2575,s1585,s3349,s2312,s2955,s3333,s3138,s2696,s6,s1670,s1814,s1857,s3716,s64,s98,s1995,s2172,s2177,s3728,s47,s50,s1821,s2175,s32,s66,s2033,s3105,s3727,s1688,s3720,s1698,s1507,s1177,s568,s658]) ).
cnf(s3730,plain,
( ~ spl0_44
| spl0_47
| ~ spl0_104
| spl0_146 ),
inference(rat,[],[s3119,s3403,s103,s1846]) ).
cnf(s3731,plain,
( ~ spl0_350
| ~ spl0_13
| ~ spl0_195
| spl0_344
| ~ spl0_45
| spl0_137
| ~ spl0_131
| spl0_151
| spl0_5
| spl0_11
| ~ spl0_104
| spl0_146 ),
inference(rat,[],[s1394,s3466,s3674,s2957,s1786,s2970,s3459,s3469,s3119,s3403,s2894,s1880,s2720,s600,s2107,s2968,s2682,s2054,s781,s6,s3115,s3730,s2036,s1250,s658]) ).
cnf(s3732,plain,
( ~ spl0_174
| ~ spl0_13
| ~ spl0_195
| spl0_344
| ~ spl0_39
| spl0_137
| ~ spl0_131
| spl0_151
| spl0_5
| spl0_11
| ~ spl0_104
| spl0_146 ),
inference(rat,[],[s1394,s3466,s3674,s3478,s2957,s1786,s2970,s3459,s3469,s3503,s3119,s6,s3730,s2036]) ).
cnf(s3733,plain,
( ~ spl0_195
| spl0_344
| ~ spl0_45
| spl0_137
| spl0_151
| ~ spl0_222
| spl0_5
| spl0_12
| spl0_11
| ~ spl0_104
| spl0_146 ),
inference(rat,[],[s2389,s2663,s1579,s2630,s3185,s1461,s3543,s1648,s1620,s2720,s1880,s2894,s3403,s3732,s1565,s3731,s10,s823,s781,s3132,s2499,s3115,s3730,s2036,s1585,s568,s658,s1250]) ).
cnf(s3734,plain,
( spl0_344
| ~ spl0_45
| ~ spl0_147
| spl0_137
| spl0_151
| ~ spl0_222
| spl0_5
| spl0_12
| spl0_11
| ~ spl0_104
| spl0_146 ),
inference(rat,[],[s3226,s3199,s2121,s1115,s3124,s33,s2631,s1787,s484,s2550,s3403,s1461,s3590,s1620,s3278,s3500,s3733,s1585,s3206,s3132,s2499,s3115,s3730,s2036,s658,s1250,s568]) ).
cnf(s3735,plain,
( ~ spl0_174
| ~ spl0_230
| spl0_137
| ~ spl0_131
| ~ spl0_9
| spl0_11
| ~ spl0_104
| spl0_146 ),
inference(rat,[],[s2957,s2970,s3478,s3119]) ).
cnf(s3736,plain,
( ~ spl0_195
| spl0_137
| spl0_151
| ~ spl0_222
| spl0_5
| spl0_12
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s2075,s2801,s2429,s2520,s3054,s1947,s1648,s2720,s3232,s3685,s2289,s2894,s3403,s3735,s1565,s2682,s3523,s719,s1850,s823,s3115,s3730,s2036,s3341,s2570,s3734,s2696,s1692,s1963,s1935,s781,s25,s6,s578,s3729,s3132,s568,s1177,s658,s1250,s1507]) ).
cnf(s3737,plain,
( spl0_137
| spl0_151
| ~ spl0_222
| spl0_5
| spl0_12
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s2075,s2429,s2801,s3054,s2520,s719,s1947,s1850,s1648,s3224,s1565,s3623,s2682,s3594,s3232,s33,s1878,s2289,s484,s2894,s2808,s1285,s3278,s3500,s3736,s2273,s2570,s3341,s3734,s3115,s2696,s1692,s1963,s1935,s781,s25,s6,s3730,s2036,s578,s3729,s3132,s568,s1177,s658,s1250,s1507]) ).
cnf(s3738,plain,
( ~ spl0_42
| ~ spl0_137
| spl0_151
| ~ spl0_222
| spl0_5
| spl0_11
| ~ spl0_2 ),
inference(rat,[],[s1938,s987,s823,s2957,s3278,s2970,s3605,s781,s3729,s6,s3132,s658]) ).
cnf(s3739,plain,
( ~ spl0_235
| ~ spl0_229
| spl0_283
| ~ spl0_19
| ~ spl0_147
| spl0_344
| ~ spl0_131
| ~ spl0_9
| spl0_12
| spl0_11
| spl0_146 ),
inference(rat,[],[s1392,s3257,s3248,s2159,s1118,s3183,s3647,s1646,s1115,s1940,s3199,s3535,s3226,s781,s867,s1250,s658]) ).
cnf(s3741,plain,
( spl0_274
| spl0_352 ),
inference(rat,[],[s3337,s1177]) ).
cnf(s3742,plain,
( spl0_277
| spl0_315 ),
inference(rat,[],[s3251,s1443]) ).
cnf(s3744,plain,
( spl0_276
| spl0_339 ),
inference(rat,[],[s3232,s1507]) ).
cnf(s3745,plain,
( spl0_285
| spl0_313 ),
inference(rat,[],[s3228,s1443]) ).
cnf(s3747,plain,
( spl0_189
| spl0_207 ),
inference(rat,[],[s3183,s1250]) ).
cnf(s3753,plain,
( ~ spl0_58
| ~ spl0_350
| ~ spl0_195
| spl0_230 ),
inference(rat,[],[s2968,s1250]) ).
cnf(s3755,plain,
( spl0_275
| spl0_307 ),
inference(rat,[],[s2939,s1250]) ).
cnf(s3762,plain,
( ~ spl0_64
| spl0_179 ),
inference(rat,[],[s2800,s568]) ).
cnf(s3765,plain,
( spl0_41
| spl0_45 ),
inference(rat,[],[s2696,s568]) ).
cnf(s3773,plain,
( spl0_229
| spl0_350 ),
inference(rat,[],[s2575,s568]) ).
cnf(s3778,plain,
( spl0_188
| spl0_208 ),
inference(rat,[],[s2520,s1177]) ).
cnf(s3780,plain,
( spl0_137
| spl0_149 ),
inference(rat,[],[s2499,s568]) ).
cnf(s3785,plain,
( spl0_326
| spl0_327 ),
inference(rat,[],[s2429,s568]) ).
cnf(s3787,plain,
( spl0_330
| spl0_331 ),
inference(rat,[],[s2389,s568]) ).
cnf(s3788,plain,
( spl0_328
| spl0_329 ),
inference(rat,[],[s2388,s568]) ).
cnf(s3810,plain,
( spl0_277
| spl0_315 ),
inference(rat,[],[s1858,s1443]) ).
cnf(s3817,plain,
( spl0_273
| spl0_314 ),
inference(rat,[],[s1787,s1250]) ).
cnf(s3826,plain,
( spl0_177
| spl0_179 ),
inference(rat,[],[s1670,s658]) ).
cnf(s3830,plain,
( ~ spl0_19
| spl0_203
| spl0_45
| spl0_30 ),
inference(rat,[],[s1651,s568]) ).
cnf(s3832,plain,
( spl0_207
| spl0_179
| spl0_146
| ~ spl0_229
| ~ spl0_19 ),
inference(rat,[],[s1648,s1250,s658]) ).
cnf(s3834,plain,
( ~ spl0_203
| spl0_285
| ~ spl0_344
| ~ spl0_152 ),
inference(rat,[],[s1609,s1507,s1443]) ).
cnf(s3835,plain,
( ~ spl0_203
| spl0_207
| ~ spl0_350
| ~ spl0_152 ),
inference(rat,[],[s1572,s1250,s1177]) ).
cnf(s3837,plain,
( spl0_229
| spl0_350 ),
inference(rat,[],[s1566,s568]) ).
cnf(s3838,plain,
( spl0_188
| spl0_208 ),
inference(rat,[],[s1560,s658]) ).
cnf(s3841,plain,
( spl0_315
| spl0_285
| spl0_146
| ~ spl0_321
| ~ spl0_19 ),
inference(rat,[],[s3358,s658]) ).
cnf(s3853,plain,
( spl0_307
| ~ spl0_329
| spl0_146
| ~ spl0_19
| spl0_207 ),
inference(rat,[],[s3365,s658]) ).
cnf(s3854,plain,
( spl0_330
| spl0_331 ),
inference(rat,[],[s1120,s867]) ).
cnf(s3855,plain,
( spl0_328
| spl0_329 ),
inference(rat,[],[s1119,s867]) ).
cnf(s3856,plain,
( spl0_326
| spl0_327 ),
inference(rat,[],[s1118,s867]) ).
cnf(s3857,plain,
( spl0_324
| spl0_325 ),
inference(rat,[],[s1117,s867]) ).
cnf(s3859,plain,
( spl0_320
| spl0_321 ),
inference(rat,[],[s1115,s658]) ).
cnf(s3860,plain,
( spl0_318
| spl0_319 ),
inference(rat,[],[s1114,s658]) ).
cnf(s3861,plain,
( spl0_316
| spl0_317 ),
inference(rat,[],[s1113,s658]) ).
cnf(s3931,plain,
( spl0_258
| spl0_179
| ~ spl0_19
| ~ spl0_166 ),
inference(rat,[],[s819,s658]) ).
cnf(s3937,plain,
( spl0_146
| spl0_166 ),
inference(rat,[],[s781,s658]) ).
cnf(s3951,plain,
( spl0_30
| spl0_104 ),
inference(rat,[],[s578,s568]) ).
cnf(s3952,plain,
( ~ spl0_328
| spl0_261
| ~ spl0_100
| ~ spl0_137 ),
inference(rat,[],[s1374,s1583]) ).
cnf(s3953,plain,
( ~ spl0_331
| ~ spl0_329
| spl0_350
| ~ spl0_233 ),
inference(rat,[],[s2652,s2459]) ).
cnf(s3954,plain,
( spl0_45
| spl0_79
| ~ spl0_147
| ~ spl0_195
| spl0_344
| ~ spl0_137
| ~ spl0_131
| spl0_5
| spl0_12
| spl0_11
| spl0_30
| spl0_146 ),
inference(rat,[],[s3853,s2559,s3185,s1579,s3854,s3953,s3788,s3952,s1461,s1616,s1827,s3739,s1565,s3678,s3381,s3356,s187,s3830,s114,s22,s116,s254,s3765,s3937,s6,s3138,s3730,s2036,s3951,s1585]) ).
cnf(s3955,plain,
( ~ spl0_350
| ~ spl0_58
| ~ spl0_195
| ~ spl0_131 ),
inference(rat,[],[s3753,s2682]) ).
cnf(s3956,plain,
( ~ spl0_195
| spl0_344
| spl0_151
| ~ spl0_222
| spl0_5
| spl0_12
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s3535,s2121,s2105,s2660,s2065,s3787,s3785,s3778,s1579,s2159,s1947,s3185,s3832,s1565,s3955,s3248,s3817,s1461,s600,s3543,s1620,s2720,s1880,s3115,s3954,s180,s1938,s10,s823,s3937,s822,s3138,s3730,s2036,s33,s484,s3403,s3119,s3738,s3737,s3951,s3729,s3132,s1585]) ).
cnf(s3957,plain,
( ~ spl0_45
| ~ spl0_329
| ~ spl0_335
| ~ spl0_208
| spl0_209
| ~ spl0_284
| spl0_179
| ~ spl0_19
| ~ spl0_152
| spl0_44
| spl0_146 ),
inference(rat,[],[s3785,s2159,s2065,s3853,s3543,s1970,s3115]) ).
cnf(s3958,plain,
( spl0_369
| spl0_368
| ~ spl0_306
| ~ spl0_41
| spl0_188
| ~ spl0_334
| spl0_146 ),
inference(rat,[],[s1755,s2658,s3168,s3861,s2933,s2487,s1763]) ).
cnf(s3959,plain,
( ~ spl0_369
| spl0_425
| ~ spl0_273
| ~ spl0_233
| ~ spl0_152
| spl0_44 ),
inference(rat,[],[s3857,s2602,s3002,s1879,s3160]) ).
cnf(s3960,plain,
( ~ spl0_335
| spl0_209
| ~ spl0_334
| ~ spl0_350
| spl0_179
| ~ spl0_19
| ~ spl0_233
| ~ spl0_137
| spl0_44
| spl0_12
| spl0_30
| spl0_146 ),
inference(rat,[],[s3245,s2256,s2929,s3860,s3958,s1777,s3959,s2652,s2065,s3787,s3785,s1579,s2159,s3185,s3835,s3830,s3765,s3957,s3788,s1583,s3951,s3248,s1461,s1620,s3778,s3263,s3138]) ).
cnf(s3961,plain,
( ~ spl0_350
| spl0_179
| ~ spl0_19
| ~ spl0_233
| ~ spl0_35
| ~ spl0_137
| spl0_151
| ~ spl0_222
| spl0_44
| spl0_12
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s1755,s3596,s3530,s3115,s1814,s3830,s2559,s3835,s1579,s2159,s3854,s3856,s1632,s1525,s1684,s3224,s10,s3180,s57,s1571,s3960,s2160,s2105,s1838,s2140,s3263,s2682,s3262,s2702,s3132,s50,s822,s3138,s1285,s3937,s3248,s1461,s1620,s3729]) ).
cnf(s3962,plain,
( spl0_344
| spl0_151
| ~ spl0_222
| spl0_5
| spl0_12
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s1632,s1684,s3623,s3224,s10,s3180,s83,s53,s1277,s2140,s2962,s3855,s3953,s3787,s1579,s1945,s3185,s1647,s3832,s1565,s3961,s1461,s1620,s3278,s3500,s3956,s1585,s50,s822,s3138,s3730,s2036,s33,s484,s3403,s3119,s3738,s3737,s3951,s3729,s3132]) ).
cnf(s3963,plain,
( ~ spl0_195
| ~ spl0_229
| ~ spl0_276
| spl0_235
| ~ spl0_344
| ~ spl0_152
| ~ spl0_222
| spl0_5
| spl0_12
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s2065,s3778,s2075,s1947,s3785,s3115,s3054,s3830,s719,s3832,s2720,s1850,s3685,s3651,s823,s3937,s3730,s2036,s3951,s3729,s1878]) ).
cnf(s3964,plain,
( ~ spl0_327
| ~ spl0_208
| ~ spl0_276
| spl0_273 ),
inference(rat,[],[s2065,s2075]) ).
cnf(s3965,plain,
( spl0_188
| ~ spl0_207
| spl0_179
| ~ spl0_19
| ~ spl0_276
| spl0_279
| spl0_338
| ~ spl0_314
| spl0_273
| spl0_235
| ~ spl0_337
| ~ spl0_131
| spl0_5
| spl0_12
| ~ spl0_2 ),
inference(rat,[],[s3623,s3602,s3224,s1850,s719,s3054,s3856,s3964,s1579,s3854,s2660,s3778,s3729,s3185]) ).
cnf(s3966,plain,
( spl0_151
| ~ spl0_222
| spl0_5
| spl0_12
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s1850,s719,s3224,s3052,s3623,s3005,s1625,s2120,s3787,s1579,s3834,s3830,s3115,s1947,s3965,s3185,s3832,s3278,s3500,s3963,s1565,s3709,s3744,s2149,s2121,s1394,s2289,s2273,s1681,s1878,s2570,s3341,s3962,s33,s484,s3403,s3119,s3738,s110,s50,s79,s822,s3138,s3737,s3132,s3730,s2036,s3951,s3729]) ).
cnf(s3967,plain,
( ~ spl0_151
| ~ spl0_9
| ~ spl0_31
| ~ spl0_166 ),
inference(rat,[],[s1963,s2712,s2719]) ).
cnf(s3968,plain,
( spl0_134
| ~ spl0_39
| ~ spl0_131
| spl0_137
| spl0_344
| spl0_222
| spl0_44
| ~ spl0_9
| spl0_11
| ~ spl0_104
| spl0_146 ),
inference(rat,[],[s3267,s1827,s3745,s3466,s2550,s2957,s1786,s33,s3459,s3672,s3403,s1585]) ).
cnf(s3969,plain,
( spl0_137
| spl0_344
| spl0_222
| spl0_44
| ~ spl0_9
| spl0_12
| spl0_11
| spl0_30
| spl0_146 ),
inference(rat,[],[s2121,s3124,s1684,s3224,s3817,s1461,s1662,s3543,s1620,s3931,s2720,s33,s1880,s484,s2894,s3968,s3115,s3765,s2778,s1692,s1963,s1935,s3951,s3967,s25,s3937,s1585]) ).
cnf(s3970,plain,
( ~ spl0_45
| ~ spl0_131
| ~ spl0_137
| ~ spl0_233
| spl0_222
| spl0_151
| spl0_44
| spl0_5
| spl0_12
| spl0_11
| ~ spl0_2 ),
inference(rat,[],[s1579,s3185,s3854,s3532,s2121,s2120,s3355,s33,s1394,s3596,s3623,s2149,s2957,s1684,s3248,s3224,s3817,s50,s987,s1461,s1662,s1285,s3543,s3573,s1888,s1620,s3931,s2720,s3826,s1880,s3115,s3937,s3729,s3138]) ).
cnf(s3971,plain,
( spl0_179
| ~ spl0_235
| ~ spl0_19
| ~ spl0_233
| spl0_222
| spl0_12
| spl0_146 ),
inference(rat,[],[s1684,s3224,s1461,s1662,s1620,s3931,s3937]) ).
cnf(s3972,plain,
( ~ spl0_235
| ~ spl0_203
| ~ spl0_19
| ~ spl0_131
| ~ spl0_152
| spl0_344
| spl0_222
| spl0_151
| spl0_5
| spl0_12
| spl0_11
| ~ spl0_2 ),
inference(rat,[],[s2952,s3742,s3198,s3703,s3859,s1684,s3519,s3224,s2117,s1938,s3739,s1565,s3678,s3278,s3971,s3226,s3937,s3729,s6,s1585,s3356]) ).
cnf(s3973,plain,
( ~ spl0_350
| ~ spl0_284
| ~ spl0_40
| spl0_235
| ~ spl0_203
| ~ spl0_131
| ~ spl0_152 ),
inference(rat,[],[s3856,s1525,s2159,s2160,s1838,s3835,s3263,s2682]) ).
cnf(s3974,plain,
( spl0_307
| spl0_207
| ~ spl0_43
| ~ spl0_19
| ~ spl0_137
| spl0_146 ),
inference(rat,[],[s3855,s3853,s1279]) ).
cnf(s3975,plain,
( ~ spl0_307
| ~ spl0_179
| spl0_350
| ~ spl0_285
| spl0_261
| ~ spl0_233 ),
inference(rat,[],[s3953,s3788,s3787,s2962,s1579,s2100,s2559]) ).
cnf(s3976,plain,
( spl0_307
| spl0_350
| ~ spl0_43
| ~ spl0_285
| ~ spl0_19
| ~ spl0_137
| ~ spl0_233
| spl0_12
| spl0_146 ),
inference(rat,[],[s3787,s1579,s3953,s3185,s3788,s3974,s1279]) ).
cnf(s3977,plain,
( ~ spl0_7
| ~ spl0_331
| spl0_179
| ~ spl0_306
| spl0_235
| ~ spl0_131
| spl0_12
| ~ spl0_2 ),
inference(rat,[],[s1632,s3623,s1633,s3224,s3729]) ).
cnf(s3978,plain,
( ~ spl0_131
| spl0_344
| spl0_5
| spl0_12
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s1662,s3977,s3787,s3931,s1579,s3975,s2559,s3976,s3973,s39,s38,s3248,s2970,s50,s1461,s2957,s2958,s1616,s987,s1827,s2124,s3972,s3381,s3830,s22,s254,s3765,s3970,s1585,s3138,s3969,s3966,s3967,s25,s3937,s6,s3730,s2036,s3951,s3729]) ).
cnf(s3979,plain,
( spl0_344
| spl0_5
| spl0_12
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s3810,s3703,s2952,s3510,s3198,s3859,s1389,s1684,s3226,s2532,s3224,s3278,s2124,s1963,s1938,s3826,s2778,s3604,s3978,s1585,s3966,s3967,s6,s25,s3937,s3729]) ).
cnf(s3980,plain,
( spl0_19
| ~ spl0_39
| spl0_137
| ~ spl0_344
| ~ spl0_9
| spl0_12
| spl0_11
| spl0_30
| spl0_146 ),
inference(rat,[],[s1947,s3747,s3778,s1646,s2906,s1940,s1565,s3503,s3735,s3711,s3403,s1857,s2894,s2952,s3685,s1682,s2720,s3500,s3951,s3341,s3967,s2778,s1963,s1935,s3937,s25]) ).
cnf(s3981,plain,
( spl0_134
| ~ spl0_19
| ~ spl0_39
| ~ spl0_131
| spl0_137
| ~ spl0_344
| spl0_151
| ~ spl0_9
| spl0_11
| ~ spl0_104
| spl0_146 ),
inference(rat,[],[s1947,s3778,s3747,s2906,s1646,s1565,s3711,s1857,s3503,s1682,s2952,s3278,s1940,s1285,s3735,s2808,s3403,s3937,s3341]) ).
cnf(s3982,plain,
( spl0_137
| spl0_5
| spl0_12
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s3594,s3623,s3225,s3224,s3199,s1662,s3859,s3931,s2631,s33,s1880,s1878,s484,s2894,s3981,s3980,s3115,s2570,s3765,s2778,s1692,s1963,s1935,s3780,s3206,s3730,s2036,s3951,s3966,s1907,s3341,s3979,s3967,s6,s25,s3937,s3729]) ).
cnf(s3983,plain,
( spl0_19
| ~ spl0_152
| ~ spl0_344
| spl0_151
| spl0_12
| spl0_30
| ~ spl0_166 ),
inference(rat,[],[s3685,s2720,s3500]) ).
cnf(s3984,plain,
( ~ spl0_179
| ~ spl0_152
| ~ spl0_344
| spl0_151
| spl0_30 ),
inference(rat,[],[s3685,s3278]) ).
cnf(s3985,plain,
( ~ spl0_131
| spl0_271
| ~ spl0_134
| ~ spl0_7
| ~ spl0_147
| spl0_179
| ~ spl0_19
| ~ spl0_152
| ~ spl0_344
| ~ spl0_141
| spl0_151
| spl0_12
| ~ spl0_2 ),
inference(rat,[],[s3859,s3199,s3841,s3225,s3257,s3602,s2159,s1579,s3856,s3185,s1525,s3832,s1635,s1565,s3709,s3854,s2121,s1838,s2120,s33,s3623,s484,s1394,s2570,s3729,s1907,s3341,s3224]) ).
cnf(s3986,plain,
( spl0_5
| spl0_12
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s3604,s3985,s2149,s50,s2808,s1662,s3573,s1888,s1285,s3931,s3826,s3984,s3983,s1878,s3138,s3982,s3979,s1696,s3966,s3967,s3730,s6,s2036,s3937,s3729,s3951,s25]) ).
cnf(s3987,plain,
( ~ spl0_44
| spl0_26
| spl0_151
| ~ spl0_5
| spl0_11
| ~ spl0_104
| ~ spl0_2 ),
inference(rat,[],[s3762,s595,s102,s3522,s3119,s3403,s1846,s3729]) ).
cnf(s3988,plain,
( ~ spl0_179
| ~ spl0_45
| spl0_151
| ~ spl0_5
| spl0_11
| ~ spl0_2 ),
inference(rat,[],[s514,s2894,s3522,s1880,s595,s2957,s252]) ).
cnf(s3989,plain,
( spl0_137
| ~ spl0_233
| spl0_151
| ~ spl0_5
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s3124,s3817,s2121,s2550,s1684,s1461,s1620,s2720,s3988,s3115,s3987,s33,s2957,s252,s3765,s1692,s1935,s3937,s3729,s3951,s25,s3128]) ).
cnf(s3990,plain,
( ~ spl0_44
| spl0_151
| ~ spl0_5
| spl0_11
| ~ spl0_104
| ~ spl0_2 ),
inference(rat,[],[s3987,s99]) ).
cnf(s3991,plain,
( ~ spl0_179
| ~ spl0_233
| spl0_151
| ~ spl0_5
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s2117,s3703,s1565,s1857,s3678,s1730,s3830,s1684,s3226,s22,s2124,s254,s2778,s3132,s1880,s595,s3278,s3128,s3138,s3990,s3951,s3989]) ).
cnf(s3992,plain,
( ~ spl0_222
| ~ spl0_35
| ~ spl0_190
| spl0_235
| spl0_179
| ~ spl0_137
| ~ spl0_233
| spl0_44
| spl0_151
| ~ spl0_5
| spl0_12
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s1583,s3250,s3855,s2160,s3953,s1525,s3787,s3785,s1579,s2159,s3185,s3832,s1565,s50,s3961,s3621,s3248,s1461,s1620,s2720,s3937,s3729]) ).
cnf(s3993,plain,
( ~ spl0_39
| ~ spl0_40
| spl0_279
| spl0_230
| ~ spl0_285
| spl0_179
| ~ spl0_152
| spl0_151
| ~ spl0_10
| spl0_12
| spl0_146 ),
inference(rat,[],[s1579,s3185,s3854,s3532,s2120,s3355,s2149,s3817,s3596,s3543,s1346,s3826,s2720,s3937,s3248,s1394,s1684]) ).
cnf(s3994,plain,
( ~ spl0_131
| spl0_179
| ~ spl0_137
| ~ spl0_233
| spl0_44
| spl0_151
| ~ spl0_10
| ~ spl0_5
| spl0_12
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s3785,s2159,s1525,s3832,s1635,s1565,s3973,s3830,s3115,s3993,s50,s2958,s987,s2124,s1696,s3992,s2121,s33,s1838,s484,s3623,s3138,s2808,s1346,s3826,s3951,s3248,s1684,s1461,s1620,s2720,s3937,s3729]) ).
cnf(s3995,plain,
( ~ spl0_233
| spl0_151
| spl0_12
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s2124,s2778,s3132,s3994,s1684,s1461,s1620,s2720,s3991,s3989,s3937,s3729,s3128,s3990,s3986,s3951]) ).
cnf(s3996,plain,
( ~ spl0_179
| ~ spl0_344
| spl0_151
| ~ spl0_5
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s3708,s2894,s3138,s2778,s3132,s1682,s3984,s595,s3278,s3990,s3951,s3341]) ).
cnf(s3997,plain,
( ~ spl0_131
| ~ spl0_35
| ~ spl0_39
| ~ spl0_320
| spl0_137
| ~ spl0_152
| spl0_179
| ~ spl0_344
| spl0_151
| ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s2117,s3199,s1565,s3225,s2273,s3709,s3594,s2121,s3623,s2570,s1907,s3341,s2720,s3937,s3729,s1878]) ).
cnf(s3998,plain,
( ~ spl0_235
| spl0_131
| ~ spl0_152
| ~ spl0_344
| spl0_151
| ~ spl0_5
| spl0_11
| ~ spl0_104
| ~ spl0_2 ),
inference(rat,[],[s2117,s1565,s3703,s3709,s1857,s1991,s1730,s1684,s3226,s3128,s3132,s2778]) ).
cnf(s3999,plain,
( spl0_137
| ~ spl0_344
| spl0_151
| ~ spl0_5
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s1916,s3832,s2117,s1565,s3709,s2121,s3998,s2778,s3132,s3997,s33,s2957,s3115,s252,s3859,s609,s2631,s832,s3780,s3206,s3128,s3990,s1878,s2894,s2808,s1346,s3826,s2720,s3996,s3937,s3729,s3951]) ).
cnf(s4000,plain,
( ~ spl0_222
| ~ spl0_207
| spl0_230
| spl0_235
| ~ spl0_259
| ~ spl0_19
| ~ spl0_344
| spl0_44
| spl0_151
| ~ spl0_10
| ~ spl0_5
| spl0_12
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s2002,s3861,s2137,s1749,s2658,s2187,s2325,s3355,s3115,s3601,s3830,s1857,s3834,s3257,s3248,s2159,s3856,s1526,s50,s2273,s3621,s1907,s3341,s2894,s2808,s3951,s3185]) ).
cnf(s4001,plain,
( ~ spl0_131
| ~ spl0_137
| spl0_179
| ~ spl0_344
| spl0_44
| spl0_151
| ~ spl0_10
| ~ spl0_5
| spl0_12
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s50,s2958,s2149,s987,s3985,s2117,s1662,s1696,s4000,s3832,s1565,s3709,s2121,s33,s484,s3623,s2570,s3931,s1878,s2894,s2808,s1346,s3826,s2720,s3937,s3729,s3951]) ).
cnf(s4002,plain,
( ~ spl0_229
| spl0_147
| spl0_222
| spl0_179
| ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s1916,s2117,s3832,s2720,s3937,s3729]) ).
cnf(s4003,plain,
( spl0_151
| spl0_12
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s2065,s2075,s3778,s3785,s3263,s3058,s3773,s4002,s2778,s3132,s4001,s3999,s3744,s1878,s2289,s2894,s2808,s1346,s2720,s3826,s3996,s3341,s1585,s3995,s3990,s3937,s3729,s3951,s3128,s3986]) ).
cnf(s4004,plain,
( spl0_12
| spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s1906,s1646,s1857,s3785,s1565,s1730,s1840,s1945,s2702,s886,s2638,s2047,s1125,s2662,s1838,s3005,s1376,s2531,s3755,s2631,s2807,s3859,s3780,s3788,s710,s2712,s1666,s1667,s1668,s2719,s4003,s3986,s3937,s25,s3206,s3951,s3729]) ).
cnf(s4005,plain,
( spl0_11
| spl0_30
| ~ spl0_2 ),
inference(rat,[],[s2149,s2215,s2123,s3250,s1394,s2160,s1980,s2650,s1838,s3854,s1565,s3447,s1585,s3629,s3262,s3341,s2140,s2273,s800,s1821,s886,s2175,s2048,s2047,s3788,s3859,s1279,s1382,s39,s2722,s38,s1888,s710,s3605,s3240,s50,s3604,s3136,s3573,s832,s3381,s3356,s3967,s14,s3730,s609,s3830,s3765,s6,s2036,s2720,s3826,s64,s98,s1995,s2172,s2177,s4004,s3937,s3729,s3951,s25]) ).
cnf(s4006,plain,
( spl0_134
| spl0_213
| ~ spl0_166 ),
inference(rat,[],[s1929,s3133,s3403]) ).
cnf(s4007,plain,
( spl0_30
| ~ spl0_2 ),
inference(rat,[],[s3647,s3859,s3785,s2515,s2508,s1565,s2715,s3678,s1846,s3830,s22,s254,s1880,s3984,s2894,s4006,s3278,s3826,s2714,s971,s75,s694,s1284,s3180,s10,s50,s1696,s32,s66,s2551,s4005,s3937,s3729]) ).
cnf(s4008,plain,
( spl0_137
| ~ spl0_147
| ~ spl0_131
| spl0_344
| ~ spl0_179
| ~ spl0_39
| ~ spl0_9
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3466,s1827,s2957,s3267,s33,s3745,s3490,s2550,s1786,s3124,s3729,s1688,s1585,s1992,s3403,s1683,s3278,s4007]) ).
cnf(s4009,plain,
( ~ spl0_222
| spl0_344
| ~ spl0_179
| spl0_12
| spl0_5
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3976,s3975,s1461,s1842,s1616,s3528,s1734,s3495,s3527,s600,s39,s3491,s3497,s38,s33,s2953,s50,s3765,s2957,s822,s1880,s987,s3738,s3138,s4008,s719,s1938,s1850,s10,s823,s3132,s3937,s3729,s1688,s6,s3129,s3403,s1683,s3278,s4007,s1585]) ).
cnf(s4010,plain,
( spl0_137
| spl0_222
| spl0_279
| ~ spl0_233
| ~ spl0_179
| ~ spl0_39
| ~ spl0_9
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3490,s3522,s1708,s33,s2957,s1926,s1827,s3267,s3745,s2550,s1786,s3124,s3729,s1688,s3403,s1683,s3278,s4007]) ).
cnf(s4011,plain,
( spl0_230
| spl0_235
| ~ spl0_284
| spl0_194
| ~ spl0_229
| ~ spl0_9
| spl0_146 ),
inference(rat,[],[s2159,s3747,s3856,s1646,s1525,s1940,s1838]) ).
cnf(s4012,plain,
( ~ spl0_147
| ~ spl0_131
| ~ spl0_137
| spl0_222
| ~ spl0_233
| ~ spl0_179
| spl0_12
| ~ spl0_9
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3855,s2686,s1279,s3493,s3975,s1916,s1842,s4011,s1684,s3248,s1461,s1616,s1635,s1565,s1734,s3224,s3495,s3494,s10,s39,s694,s38,s50,s2970,s33,s2958,s2957,s987,s3403,s4006,s1683,s3278,s3937,s3729,s1696,s3765,s1880,s3138,s1688,s4007]) ).
cnf(s4013,plain,
( spl0_147
| spl0_222
| ~ spl0_174
| spl0_12
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s3224,s1694,s1938,s3937,s3729,s4007]) ).
cnf(s4014,plain,
( spl0_344
| ~ spl0_179
| spl0_12
| spl0_5
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s4012,s2778,s4013,s4010,s4009,s1992,s1585,s6,s3129,s3403,s1683,s3278,s4007]) ).
cnf(s4015,plain,
( spl0_137
| ~ spl0_222
| ~ spl0_179
| spl0_12
| spl0_5
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s2962,s3855,s1781,s3525,s3854,s3492,s2495,s2953,s50,s33,s1947,s3250,s2958,s2957,s3778,s3478,s2906,s1688,s3129,s3745,s1565,s2823,s3711,s1857,s2952,s1682,s3403,s1683,s4007,s1827,s1842,s3523,s719,s1850,s823,s3278,s3341,s3729,s2570,s3132,s4014,s6]) ).
cnf(s4016,plain,
( ~ spl0_222
| ~ spl0_179
| spl0_12
| spl0_5
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3536,s3778,s3497,s110,s33,s3496,s2953,s50,s79,s2957,s1681,s1878,s822,s987,s3738,s3138,s4015,s1842,s3523,s719,s1827,s1394,s1938,s1850,s2570,s823,s3132,s1688,s6,s3129,s4006,s3937,s3729,s1565,s2823,s3711,s1857,s2952,s1682,s3341,s4014,s3403,s1683,s3278,s4007]) ).
cnf(s4017,plain,
( spl0_137
| spl0_235
| ~ spl0_131
| spl0_54
| spl0_209
| ~ spl0_229
| ~ spl0_277
| spl0_285
| ~ spl0_337
| ~ spl0_174
| ~ spl0_39
| ~ spl0_9
| spl0_11
| spl0_146 ),
inference(rat,[],[s57,s33,s1580,s2957,s3591,s3478,s3856,s1940,s3854,s3616,s1646,s2495,s3747,s1947,s3778,s2906,s3745,s1827]) ).
cnf(s4018,plain,
( ~ spl0_306
| ~ spl0_7
| ~ spl0_35
| ~ spl0_229
| ~ spl0_174
| ~ spl0_30 ),
inference(rat,[],[s3450,s1894,s1633,s2521]) ).
cnf(s4019,plain,
( ~ spl0_179
| spl0_12
| spl0_5
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s1940,s1646,s1842,s3747,s2559,s3185,s4018,s3493,s1389,s3859,s1382,s10,s39,s694,s38,s50,s2970,s33,s3765,s2958,s2957,s1880,s987,s3138,s4017,s2570,s2778,s1689,s4013,s1696,s4016,s2823,s1565,s3711,s1857,s2952,s1682,s3341,s4014,s4006,s3403,s1683,s3278,s3937,s3729,s1688,s6,s3129,s4007]) ).
cnf(s4020,plain,
( spl0_344
| spl0_137
| ~ spl0_222
| spl0_12
| spl0_5
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s1938,s3544,s3224,s2121,s3595,s3124,s50,s3817,s33,s822,s2550,s484,s2894,s1683,s1461,s3403,s1620,s3590,s1585,s3129,s4007,s2720,s3937,s3729,s3604,s3826,s4019,s3780]) ).
cnf(s4021,plain,
( spl0_229
| spl0_338
| spl0_235
| ~ spl0_337
| ~ spl0_131
| ~ spl0_2 ),
inference(rat,[],[s1526,s3785,s2682,s3058,s3773]) ).
cnf(s4022,plain,
( spl0_137
| ~ spl0_222
| spl0_12
| spl0_5
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3965,s2121,s3744,s33,s1681,s1878,s2289,s484,s2894,s3403,s2822,s2801,s3778,s1947,s3832,s4021,s2273,s2570,s3341,s4020,s3129,s4007,s2720,s3937,s3729,s3604,s3826,s4019]) ).
cnf(s4023,plain,
( ~ spl0_235
| ~ spl0_285
| ~ spl0_222
| spl0_12
| spl0_5
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s514,s3534,s3548,s2957,s3535,s987,s719,s1938,s1850,s3224,s1684,s6,s3604,s1285,s2149,s50,s3573,s3826,s3543,s3138,s4022,s1688,s3129,s4007,s2720,s3937,s3729,s4019]) ).
cnf(s4024,plain,
( spl0_230
| ~ spl0_233
| ~ spl0_222
| spl0_12
| spl0_5
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3548,s3403,s719,s3534,s1850,s3224,s3993,s6,s3604,s1285,s2121,s33,s2957,s987,s2123,s1394,s2149,s50,s3573,s3826,s3543,s3138,s1688,s3129,s4007,s4022,s4023,s1461,s1620,s2720,s4019,s3937,s3729]) ).
cnf(s4025,plain,
( ~ spl0_233
| ~ spl0_222
| spl0_12
| spl0_5
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3854,s2660,s1579,s1947,s3185,s3832,s1565,s2682,s4024,s2121,s33,s2957,s987,s2123,s1394,s4023,s1461,s1620,s3604,s3817,s2149,s50,s3573,s3826,s3543,s3138,s4022,s1688,s3129,s4007,s2720,s3937,s3729,s4019]) ).
cnf(s4026,plain,
( ~ spl0_222
| spl0_12
| spl0_5
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3965,s2121,s3744,s33,s2289,s484,s3403,s512,s1892,s3788,s513,s2962,s1584,s1781,s3854,s1625,s1894,s2521,s1945,s1947,s3185,s1647,s3832,s4021,s1394,s2273,s2570,s3341,s1585,s4025,s110,s3817,s50,s79,s3543,s3573,s3138,s4022,s1688,s3129,s4007,s2720,s3937,s3729,s3604,s3826,s4019]) ).
cnf(s4027,plain,
( spl0_344
| spl0_137
| ~ spl0_40
| ~ spl0_10
| spl0_179
| spl0_12
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3600,s2894,s1461,s3403,s1620,s3590,s1585,s3129,s4007,s2720,s3937,s3729]) ).
cnf(s4028,plain,
( spl0_229
| spl0_235
| ~ spl0_344
| spl0_210
| ~ spl0_40
| spl0_230
| ~ spl0_39
| spl0_151 ),
inference(rat,[],[s1519,s2550,s3747,s2149,s1947,s2120,s2160,s3787,s1525,s1781,s3785,s3262,s3058,s3773,s1838,s3341,s1394]) ).
cnf(s4029,plain,
( spl0_137
| spl0_210
| ~ spl0_40
| ~ spl0_10
| ~ spl0_131
| spl0_179
| spl0_12
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3838,s1947,s2801,s3832,s4028,s2570,s4027,s3129,s2720,s3937,s2105,s3623,s3729,s33,s61,s4007]) ).
cnf(s4030,plain,
( spl0_344
| ~ spl0_152
| ~ spl0_40
| ~ spl0_10
| spl0_179
| spl0_12
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3600,s1461,s3403,s1620,s3597,s1585,s3129,s4007,s2720,s3937,s3729]) ).
cnf(s4031,plain,
( spl0_12
| spl0_5
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3598,s3403,s4028,s3985,s2570,s4030,s2149,s3543,s3138,s4029,s1940,s50,s3623,s1660,s3224,s1662,s1888,s1696,s4026,s3931,s3604,s2720,s3826,s4019,s3129,s3937,s3729,s1688,s4007,s6]) ).
cnf(s4032,plain,
( spl0_5
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3605,s3607,s3604,s3136,s3826,s14,s1995,s4031,s6,s3937,s3729,s4007]) ).
cnf(s4033,plain,
( ~ spl0_179
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s514,s3522,s1683,s595,s3278,s61,s3128,s4032,s4007]) ).
cnf(s4034,plain,
( ~ spl0_36
| ~ spl0_258
| ~ spl0_39
| ~ spl0_5
| spl0_151
| spl0_44 ),
inference(rat,[],[s1662,s3621,s1660]) ).
cnf(s4035,plain,
( ~ spl0_229
| spl0_137
| spl0_209
| spl0_179
| ~ spl0_39
| spl0_146 ),
inference(rat,[],[s3838,s1947,s2801,s3832,s2720,s3937]) ).
cnf(s4036,plain,
( spl0_137
| ~ spl0_131
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s1857,s1730,s1906,s3225,s3785,s4021,s3058,s4035,s2570,s3341,s1907,s4029,s4027,s50,s4034,s3931,s2720,s3937,s3129,s98,s1688,s2105,s3623,s4033,s3729,s33,s61,s3128,s4032,s4007]) ).
cnf(s4037,plain,
( ~ spl0_131
| spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s2002,s3861,s2137,s1749,s2658,s2187,s2325,s3355,s3601,s1857,s3257,s2159,s3856,s2065,s3778,s1947,s3185,s3832,s1565,s3993,s3709,s2121,s2570,s3341,s1907,s4030,s3543,s3138,s4036,s2105,s3623,s33,s61,s3128,s1285,s50,s4034,s3931,s2720,s4033,s3937,s3729,s3129,s98,s4032,s1688,s4007]) ).
cnf(s4038,plain,
( spl0_11
| spl0_151
| ~ spl0_2 ),
inference(rat,[],[s2079,s1894,s3787,s3709,s2141,s1781,s4030,s3262,s2894,s3773,s3403,s4002,s3522,s2778,s3132,s4037,s50,s4034,s3931,s2720,s4033,s61,s3129,s3128,s98,s4032,s3937,s3729,s1688,s4007]) ).
cnf(s4039,plain,
( spl0_151
| ~ spl0_2 ),
inference(rat,[],[s3278,s1683,s3826,s4006,s971,s694,s1284,s10,s50,s1696,s32,s66,s2551,s4038,s3937,s3729,s4007]) ).
cnf(s4040,plain,
( spl0_5
| ~ spl0_39
| ~ spl0_2 ),
inference(rat,[],[s50,s2233,s1660,s2722,s3498,s3937,s3729,s1667,s710,s2719,s4039]) ).
cnf(s4041,plain,
( ~ spl0_39
| spl0_11
| ~ spl0_2 ),
inference(rat,[],[s1970,s3755,s3765,s2807,s1692,s2686,s1947,s3250,s3191,s1825,s33,s61,s3128,s4040,s3937,s3729,s1688,s4007,s2719,s3788,s1668,s3780,s1667,s4039]) ).
cnf(s4042,plain,
( spl0_39
| ~ spl0_2 ),
inference(rat,[],[s2702,s3190,s3953,s3741,s1585,s3787,s1892,s1907,s3141,s2631,s3648,s3230,s1969,s2232,s1821,s2175,s88,s2048,s2047,s2279,s2722,s6,s3826,s98,s1995,s3129,s3937,s3729,s1688,s4007,s710,s2719,s3788,s1668,s3780,s1667,s3859,s1666,s4039]) ).
cnf(s4043,plain,
~ spl0_2,
inference(rat,[],[s2031,s3744,s2631,s2584,s2550,s3248,s1461,s1384,s2175,s3105,s98,s4041,s4040,s4042,s2709,s3859,s3780,s710,s1666,s1667,s2719,s4039,s4007,s3937,s3729,s3627]) ).
cnf(s4044,plain,
spl0_1,
inference(rat,[],[s1,s4043]) ).
cnf(s4045,plain,
( spl0_137
| spl0_44
| spl0_30
| spl0_146
| spl0_222
| spl0_151
| ~ spl0_9
| spl0_11
| ~ spl0_179 ),
inference(rat,[],[s3981,s3980,s3115,s3765,s2894,s1692,s3984,s1935,s3969,s1995,s2778,s693,s3937,s3951,s25,s4044]) ).
cnf(s4046,plain,
( spl0_30
| spl0_151
| spl0_5
| spl0_11
| ~ spl0_179 ),
inference(rat,[],[s2958,s987,s3209,s4045,s3730,s3951,s3200,s2036,s6,s664,s693,s823,s3278,s3224,s177,s1995,s4044]) ).
cnf(s4047,plain,
( spl0_151
| spl0_5
| spl0_11
| ~ spl0_179 ),
inference(rat,[],[s3837,s4017,s3711,s1857,s2952,s1682,s2570,s3341,s3459,s3817,s1689,s3491,s3490,s3209,s3403,s33,s1660,s1683,s61,s3129,s1688,s4046,s2778,s664,s693,s602,s823,s3278,s3200,s6,s3224,s177,s1995,s4044]) ).
cnf(s4048,plain,
( spl0_5
| spl0_11
| ~ spl0_179 ),
inference(rat,[],[s1633,s1821,s3185,s2048,s2686,s2722,s3788,s3937,s1963,s710,s1668,s1698,s2719,s4047,s177,s6,s1995,s4044]) ).
cnf(s4049,plain,
( spl0_30
| ~ spl0_160
| ~ spl0_151
| ~ spl0_5
| spl0_11 ),
inference(rat,[],[s1906,s1857,s1646,s1730,s3785,s1565,s886,s1840,s1945,s2702,s2047,s2638,s2662,s3203,s3005,s1376,s3755,s2531,s2807,s2631,s2712,s3206,s25,s3951,s3937,s1698,s3788,s1668,s3780,s1667,s3859,s1666,s4044]) ).
cnf(s4050,plain,
( spl0_11
| ~ spl0_179 ),
inference(rat,[],[s2882,s3742,s3765,s3616,s1692,s3785,s3747,s3273,s2902,s1947,s2550,s3230,s3191,s2631,s1825,s33,s61,s3129,s1688,s4049,s3859,s3780,s3788,s3937,s1666,s1667,s1668,s1698,s710,s3132,s2778,s883,s595,s3128,s4048,s3200,s1995,s4044]) ).
cnf(s4051,plain,
( spl0_134
| spl0_45
| spl0_213 ),
inference(rat,[],[s2205,s671,s3403,s3765]) ).
cnf(s4052,plain,
( spl0_45
| spl0_30
| ~ spl0_179 ),
inference(rat,[],[s3837,s3647,s3678,s3984,s2894,s4051,s3830,s22,s254,s694,s3278,s2719,s693,s2551,s3785,s2508,s3859,s2515,s2715,s106,s75,s3180,s10,s32,s50,s66,s4050,s4044]) ).
cnf(s4053,plain,
( spl0_30
| ~ spl0_179 ),
inference(rat,[],[s780,s4006,s2337,s2894,s3115,s1880,s4052,s75,s3180,s106,s2719,s693,s694,s10,s32,s50,s66,s2551,s4050,s4044]) ).
cnf(s4054,plain,
~ spl0_179,
inference(rat,[],[s4006,s3937,s1683,s3728,s4053,s3278,s694,s2719,s10,s50,s693,s32,s66,s2551,s4050,s1995,s4044]) ).
cnf(s4057,plain,
spl0_177,
inference(rat,[],[s3826,s4054]) ).
cnf(s4060,plain,
( spl0_12
| ~ spl0_146
| ~ spl0_7 ),
inference(rat,[],[s693,s823,s664,s3274,s3224,s4044]) ).
cnf(s4061,plain,
( ~ spl0_222
| spl0_44
| ~ spl0_41
| spl0_307
| ~ spl0_9
| ~ spl0_53
| spl0_151 ),
inference(rat,[],[s2238,s3201,s3493,s824,s39,s2237,s38,s3605,s3132,s4057,s4044,s4054]) ).
cnf(s4062,plain,
( ~ spl0_12
| ~ spl0_9
| spl0_30
| spl0_11
| spl0_151 ),
inference(rat,[],[s3535,s3329,s3336,s15,s2778,s971,s693,s1696,s4061,s3587,s3381,s3830,s22,s610,s254,s54,s3765,s1759,s1814,s1857,s64,s2125,s2172,s2177,s3951,s56,s4057,s4044,s4054]) ).
cnf(s4063,plain,
( ~ spl0_222
| ~ spl0_134
| spl0_151 ),
inference(rat,[],[s3201,s822,s3132,s2894,s4044]) ).
cnf(s4064,plain,
( spl0_5
| spl0_30
| spl0_11
| spl0_151 ),
inference(rat,[],[s3442,s2237,s3115,s987,s1660,s2958,s3201,s3605,s2778,s693,s4063,s2808,s1285,s2720,s3730,s3937,s4060,s4062,s177,s6,s2036,s3951,s4057,s4044,s4054]) ).
cnf(s4065,plain,
( ~ spl0_146
| spl0_30
| spl0_11
| spl0_151 ),
inference(rat,[],[s91,s9,s2957,s681,s33,s3621,s1705,s3656,s4063,s3113,s693,s3181,s10,s664,s4060,s3951,s98,s3128,s4064,s4054,s4044,s4057]) ).
cnf(s4066,plain,
( spl0_30
| spl0_11
| spl0_151 ),
inference(rat,[],[s832,s609,s987,s252,s2958,s3201,s2778,s693,s4063,s1846,s2808,s1285,s2720,s3937,s4065,s4064,s3951,s4044,s4054]) ).
cnf(s4067,plain,
( ~ spl0_222
| ~ spl0_41
| ~ spl0_146
| ~ spl0_9
| spl0_11
| spl0_151 ),
inference(rat,[],[s2279,s88,s3209,s822,s3138,s1860,s2237,s3605,s3132,s3200,s1688,s4066,s4057,s4054,s4044]) ).
cnf(s4068,plain,
( ~ spl0_146
| spl0_5
| spl0_11
| spl0_151 ),
inference(rat,[],[s3535,s3329,s3336,s15,s2778,s971,s693,s1696,s4067,s3765,s64,s4060,s6,s177,s4057,s4044]) ).
cnf(s4069,plain,
( spl0_12
| ~ spl0_222
| spl0_146
| ~ spl0_7
| ~ spl0_30
| spl0_151 ),
inference(rat,[],[s2140,s3262,s3203,s3773,s3623,s3598,s3224,s2720,s3937,s3132,s3403,s4063,s4044,s4054]) ).
cnf(s4070,plain,
( ~ spl0_222
| spl0_146
| ~ spl0_7
| ~ spl0_9
| ~ spl0_30
| spl0_151 ),
inference(rat,[],[s1883,s2955,s2953,s50,s822,s3138,s2237,s3765,s64,s4069,s3403,s3605,s4063,s3132,s1688,s4054,s4057]) ).
cnf(s4071,plain,
( spl0_12
| spl0_5
| spl0_11
| spl0_151 ),
inference(rat,[],[s4028,s2570,s4035,s3590,s3403,s2105,s3209,s3201,s50,s1940,s33,s1660,s3623,s61,s3129,s3224,s3200,s2720,s3937,s2778,s693,s4070,s4068,s177,s6,s4066,s4054,s4044]) ).
cnf(s4072,plain,
( spl0_5
| spl0_11
| spl0_151 ),
inference(rat,[],[s3535,s3329,s3336,s15,s4071,s2778,s971,s693,s1696,s4070,s4068,s177,s6,s4066,s4057,s4044]) ).
cnf(s4073,plain,
( ~ spl0_146
| spl0_11
| spl0_151 ),
inference(rat,[],[s3442,s2237,s253,s1699,s3621,s3403,s693,s1683,s1860,s664,s3274,s3200,s1688,s3128,s3129,s98,s4072,s4066,s4057,s4044]) ).
cnf(s4074,plain,
( ~ spl0_222
| spl0_11
| spl0_151 ),
inference(rat,[],[s2650,s1565,s3209,s3262,s2237,s2140,s3695,s1699,s3203,s1838,s10,s3403,s3623,s4069,s4063,s3132,s3128,s50,s3765,s253,s4034,s3931,s2720,s3937,s4073,s3129,s98,s1688,s4066,s3200,s4072,s4057,s4044,s4054]) ).
cnf(s4075,plain,
( spl0_11
| spl0_151 ),
inference(rat,[],[s1699,s3403,s2237,s3201,s3209,s2778,s693,s4074,s3765,s253,s4034,s3931,s2720,s3937,s4073,s3129,s98,s4072,s1688,s4066,s3200,s4057,s4044,s4054]) ).
cnf(s4076,plain,
~ spl0_11,
inference(rat,[],[s3728,s681,s780,s9,s1284,s98,s971,s177,s10,s1696,s32,s66,s2551,s4057,s4044]) ).
cnf(s4078,plain,
spl0_151,
inference(rat,[],[s4075,s4076]) ).
cnf(s4079,plain,
~ spl0_147,
inference(rat,[],[s2719,s4078]) ).
cnf(s4081,plain,
~ spl0_146,
inference(rat,[],[s1698,s4078]) ).
cnf(s4082,plain,
~ spl0_328,
inference(rat,[],[s1668,s4078]) ).
cnf(s4083,plain,
~ spl0_137,
inference(rat,[],[s1667,s4078]) ).
cnf(s4084,plain,
~ spl0_320,
inference(rat,[],[s1666,s4078]) ).
cnf(s4087,plain,
spl0_160,
inference(rat,[],[s710,s4079]) ).
cnf(s4090,plain,
spl0_166,
inference(rat,[],[s3937,s4081]) ).
cnf(s4092,plain,
spl0_329,
inference(rat,[],[s3788,s4082]) ).
cnf(s4093,plain,
spl0_149,
inference(rat,[],[s3780,s4083]) ).
cnf(s4097,plain,
spl0_321,
inference(rat,[],[s3859,s4084]) ).
cnf(s4099,plain,
spl0_19,
inference(rat,[],[s2720,s4054,s4090]) ).
cnf(s4114,plain,
spl0_30,
inference(rat,[],[s6,s3967,s4049,s25,s4090,s4078,s4087,s4076]) ).
cnf(s4115,plain,
~ spl0_44,
inference(rat,[],[s1688,s4114]) ).
cnf(s4116,plain,
~ spl0_159,
inference(rat,[],[s2702,s3190,s3658,s3741,s1585,s1892,s1907,s2631,s3648,s3230,s1969,s2232,s1821,s2175,s50,s2048,s2047,s2233,s4093,s4097,s4115,s4092,s4083]) ).
cnf(s4117,plain,
spl0_5,
inference(rat,[],[s2722,s4087,s4090,s4116]) ).
cnf(s4119,plain,
spl0_235,
inference(rat,[],[s2684,s4087,s4097,s4116]) ).
cnf(s4121,plain,
spl0_10,
inference(rat,[],[s3128,s4076,s4117]) ).
cnf(s4130,plain,
spl0_282,
inference(rat,[],[s3226,s4076,s4119]) ).
cnf(s4133,plain,
~ spl0_285,
inference(rat,[],[s1684,s4119,s4121]) ).
cnf(s4142,plain,
~ spl0_315,
inference(rat,[],[s1730,s4117,s4130]) ).
cnf(s4152,plain,
$false,
inference(rat,[],[s1392,s4097,s4090,s4099,s4142,s4133]) ).
thf(f28569,plain,
$false,
inference(avatar_sat_refutation,[],[s4152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA142^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n017.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 18:59:22 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.10/0.25 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
% 0.23/0.40 % (753326)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.40 % (753333)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=887025188:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.40 % (753332)lrs+10_16_si=on:nwc=1.5:random_seed=1102028735:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.40 % (753331)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3738939827:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.40 % (753333)Instruction limit reached!
% 0.23/0.40 % (753333)------------------------------
% 0.23/0.40 % (753333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.40 % (753333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.40 % (753333)CaDiCaL version: 2.1.3
% 0.23/0.40 % (753333)Termination reason: Instruction limit
% 0.23/0.40 % (753333)Termination phase: Saturation
% 0.23/0.40 % (753333)Time elapsed: 0.003 s
% 0.23/0.40 % (753333)Peak memory usage: 11 MB
% 0.23/0.40 % (753333)Instructions burned: 5 (million)
% 0.23/0.40 % (753332)Instruction limit reached!
% 0.23/0.40 % (753332)------------------------------
% 0.23/0.40 % (753332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.40 % (753332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.40 % (753332)CaDiCaL version: 2.1.3
% 0.23/0.40 % (753332)Termination reason: Instruction limit
% 0.23/0.40 % (753332)Termination phase: Saturation
% 0.23/0.40 % (753332)Time elapsed: 0.010 s
% 0.23/0.40 % (753332)Peak memory usage: 11 MB
% 0.23/0.40 % (753332)Instructions burned: 19 (million)
% 0.23/0.40 % (753334)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=4019898247: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)
% 0.23/0.40 % (753337)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.40 % (753337)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
% 0.23/0.40 % (753337)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=1816872217:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.40 % (753341)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3483420714:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.40 % (753341)Instruction limit reached!
% 0.23/0.40 % (753341)------------------------------
% 0.23/0.40 % (753341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.40 % (753341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.40 % (753341)CaDiCaL version: 2.1.3
% 0.23/0.40 % (753341)Termination reason: Instruction limit
% 0.23/0.40 % (753341)Termination phase: Saturation
% 0.23/0.40 % (753341)Time elapsed: 0.002 s
% 0.23/0.40 % (753341)Peak memory usage: 12 MB
% 0.23/0.40 % (753341)Instructions burned: 2 (million)
% 0.23/0.40 % (753335)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1528952642:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.40 % (753336)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=706268732:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.40 % (753342)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=807727153:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.23/0.40 % (753342)Instruction limit reached!
% 0.23/0.40 % (753342)------------------------------
% 0.23/0.40 % (753342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.40 % (753342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.40 % (753342)CaDiCaL version: 2.1.3
% 0.23/0.40 % (753342)Termination reason: Instruction limit
% 0.23/0.40 % (753342)Termination phase: Saturation
% 0.23/0.40 % (753342)Time elapsed: 0.003 s
% 0.23/0.40 % (753342)Peak memory usage: 11 MB
% 0.23/0.40 % (753342)Instructions burned: 5 (million)
% 0.23/0.40 % (753331)Instruction limit reached!
% 0.91/0.44 % (753331)------------------------------
% 0.91/0.44 % (753331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.44 % (753331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.44 % (753331)CaDiCaL version: 2.1.3
% 0.91/0.44 % (753331)Termination reason: Instruction limit
% 0.91/0.44 % (753331)Termination phase: Saturation
% 0.91/0.44 % (753331)Time elapsed: 0.037 s
% 0.91/0.44 % (753331)Peak memory usage: 12 MB
% 0.91/0.44 % (753331)Instructions burned: 89 (million)
% 0.91/0.44 % (753335)Instruction limit reached!
% 0.91/0.44 % (753335)------------------------------
% 0.91/0.44 % (753335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.44 % (753335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.44 % (753335)CaDiCaL version: 2.1.3
% 0.91/0.44 % (753335)Termination reason: Instruction limit
% 0.91/0.44 % (753335)Termination phase: Saturation
% 0.91/0.44 % (753335)Time elapsed: 0.012 s
% 0.91/0.44 % (753335)Peak memory usage: 12 MB
% 0.91/0.44 % (753335)Instructions burned: 26 (million)
% 0.91/0.44 % (753346)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.91/0.44 % (753346)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1930667945:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.91/0.44 % (753346)Instruction limit reached!
% 0.91/0.44 % (753346)------------------------------
% 0.91/0.44 % (753346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.44 % (753346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.44 % (753346)CaDiCaL version: 2.1.3
% 0.91/0.44 % (753346)Termination reason: Instruction limit
% 0.91/0.44 % (753346)Termination phase: Saturation
% 0.91/0.44 % (753346)Time elapsed: 0.005 s
% 0.91/0.44 % (753346)Peak memory usage: 12 MB
% 0.91/0.44 % (753346)Instructions burned: 8 (million)
% 0.91/0.44 % (753351)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
% 0.91/0.44 % (753351)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.91/0.44 % (753351)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=980017410:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.91/0.44 % (753352)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=1473417675:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.91/0.44 % (753350)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1823583487:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.91/0.44 % (753350)Instruction limit reached!
% 0.91/0.44 % (753350)------------------------------
% 0.91/0.44 % (753350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.44 % (753350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.44 % (753350)CaDiCaL version: 2.1.3
% 0.91/0.44 % (753350)Termination reason: Instruction limit
% 0.91/0.44 % (753350)Termination phase: Saturation
% 0.91/0.44 % (753350)Time elapsed: 0.011 s
% 0.91/0.44 % (753350)Peak memory usage: 12 MB
% 0.91/0.44 % (753350)Instructions burned: 12 (million)
% 0.91/0.44 % (753354)lrs+10_1_si=on:cs=on:random_seed=2607988377:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.91/0.44 % (753351)Instruction limit reached!
% 0.91/0.44 % (753351)------------------------------
% 0.91/0.44 % (753351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.44 % (753351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.44 % (753351)CaDiCaL version: 2.1.3
% 0.91/0.44 % (753351)Termination reason: Instruction limit
% 0.91/0.44 % (753351)Termination phase: Saturation
% 0.91/0.44 % (753351)Time elapsed: 0.014 s
% 0.91/0.44 % (753351)Peak memory usage: 12 MB
% 0.91/0.44 % (753351)Instructions burned: 28 (million)
% 0.91/0.44 % (753354)Instruction limit reached!
% 0.91/0.44 % (753354)------------------------------
% 0.91/0.44 % (753354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.46 % (753354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.46 % (753354)CaDiCaL version: 2.1.3
% 0.91/0.46 % (753354)Termination reason: Instruction limit
% 0.91/0.46 % (753354)Termination phase: Saturation
% 0.91/0.46 % (753354)Time elapsed: 0.005 s
% 0.91/0.46 % (753354)Peak memory usage: 12 MB
% 0.91/0.46 % (753354)Instructions burned: 9 (million)
% 0.91/0.46 % (753360)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1382860200:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.91/0.46 % (753336)Instruction limit reached!
% 0.91/0.46 % (753336)------------------------------
% 0.91/0.46 % (753336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.46 % (753336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.46 % (753336)CaDiCaL version: 2.1.3
% 0.91/0.46 % (753336)Termination reason: Instruction limit
% 0.91/0.46 % (753336)Termination phase: Saturation
% 0.91/0.46 % (753336)Time elapsed: 0.063 s
% 0.91/0.46 % (753336)Peak memory usage: 12 MB
% 0.91/0.46 % (753336)Instructions burned: 75 (million)
% 0.91/0.46 % (753360)Refutation not found, incomplete strategy
% 0.91/0.46 % (753360)------------------------------
% 0.91/0.46 % (753360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.46 % (753360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.46 % (753360)CaDiCaL version: 2.1.3
% 0.91/0.46 % (753360)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.46 % (753360)Time elapsed: 0.001 s
% 0.91/0.46 % (753360)Peak memory usage: 11 MB
% 0.91/0.46 % (753360)------------------------------
% 0.91/0.46 % (753360)------------------------------
% 0.91/0.46 % (753361)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3315578560:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.91/0.46 % (753361)Refutation not found, incomplete strategy
% 0.91/0.46 % (753361)------------------------------
% 0.91/0.46 % (753361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.46 % (753361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.46 % (753361)CaDiCaL version: 2.1.3
% 0.91/0.46 % (753361)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.46 % (753361)Time elapsed: 0.0000 s
% 0.91/0.46 % (753361)Peak memory usage: 11 MB
% 0.91/0.46 % (753361)------------------------------
% 0.91/0.46 % (753361)------------------------------
% 0.91/0.46 % (753359)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.91/0.46 % (753352)Instruction limit reached!
% 0.91/0.46 % (753352)------------------------------
% 0.91/0.46 % (753352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.46 % (753352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.46 % (753352)CaDiCaL version: 2.1.3
% 0.91/0.46 % (753352)Termination reason: Instruction limit
% 0.91/0.46 % (753352)Termination phase: Saturation
% 0.91/0.46 % (753352)Time elapsed: 0.041 s
% 0.91/0.46 % (753352)Peak memory usage: 12 MB
% 0.91/0.46 % (753352)Instructions burned: 87 (million)
% 0.91/0.46 % (753359)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=756895914:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.91/0.46 % (753337)Instruction limit reached!
% 0.91/0.46 % (753337)------------------------------
% 0.91/0.46 % (753337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.46 % (753337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.46 % (753337)CaDiCaL version: 2.1.3
% 0.91/0.46 % (753337)Termination reason: Instruction limit
% 0.91/0.46 % (753337)Termination phase: Saturation
% 0.91/0.46 % (753337)Time elapsed: 0.081 s
% 0.91/0.46 % (753337)Peak memory usage: 12 MB
% 0.91/0.46 % (753337)Instructions burned: 157 (million)
% 0.91/0.46 % (753359)Instruction limit reached!
% 0.91/0.46 % (753359)------------------------------
% 0.91/0.46 % (753359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.46 % (753359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.46 % (753359)CaDiCaL version: 2.1.3
% 0.91/0.46 % (753359)Termination reason: Instruction limit
% 0.91/0.46 % (753359)Termination phase: Saturation
% 0.91/0.50 % (753359)Time elapsed: 0.001 s
% 0.91/0.50 % (753359)Peak memory usage: 11 MB
% 0.91/0.50 % (753359)Instructions burned: 2 (million)
% 0.91/0.50 % (753364)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3860891704:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.91/0.50 % (753366)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3750872080:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.91/0.50 % (753366)Refutation not found, incomplete strategy
% 0.91/0.50 % (753366)------------------------------
% 0.91/0.50 % (753366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.50 % (753366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.50 % (753366)CaDiCaL version: 2.1.3
% 0.91/0.50 % (753366)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.50 % (753366)Time elapsed: 0.001 s
% 0.91/0.50 % (753366)Peak memory usage: 11 MB
% 0.91/0.50 % (753366)------------------------------
% 0.91/0.50 % (753366)------------------------------
% 0.91/0.50 % (753367)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3309019230:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.91/0.50 % (753363)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2460403894:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.91/0.50 % (753364)Instruction limit reached!
% 0.91/0.50 % (753364)------------------------------
% 0.91/0.50 % (753364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.50 % (753364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.50 % (753364)CaDiCaL version: 2.1.3
% 0.91/0.50 % (753364)Termination reason: Instruction limit
% 0.91/0.50 % (753364)Termination phase: Saturation
% 0.91/0.50 % (753364)Time elapsed: 0.009 s
% 0.91/0.50 % (753364)Peak memory usage: 12 MB
% 0.91/0.50 % (753364)Instructions burned: 15 (million)
% 0.91/0.50 % (753363)Refutation not found, incomplete strategy
% 0.91/0.50 % (753363)------------------------------
% 0.91/0.50 % (753363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.50 % (753363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.50 % (753363)CaDiCaL version: 2.1.3
% 0.91/0.50 % (753363)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.50 % (753363)Time elapsed: 0.001 s
% 0.91/0.50 % (753363)Peak memory usage: 11 MB
% 0.91/0.50 % (753363)------------------------------
% 0.91/0.50 % (753363)------------------------------
% 0.91/0.50 % (753369)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1798612048: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)
% 0.91/0.50 % (753367)Instruction limit reached!
% 0.91/0.50 % (753367)------------------------------
% 0.91/0.50 % (753367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.50 % (753367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.50 % (753367)CaDiCaL version: 2.1.3
% 0.91/0.50 % (753367)Termination reason: Instruction limit
% 0.91/0.50 % (753367)Termination phase: Saturation
% 0.91/0.50 % (753367)Time elapsed: 0.008 s
% 0.91/0.50 % (753367)Peak memory usage: 12 MB
% 0.91/0.50 % (753367)Instructions burned: 16 (million)
% 0.91/0.50 % (753369)Refutation not found, incomplete strategy
% 0.91/0.50 % (753369)------------------------------
% 0.91/0.50 % (753369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.91/0.50 % (753369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.91/0.50 % (753369)CaDiCaL version: 2.1.3
% 0.91/0.50 % (753369)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.50 % (753369)Time elapsed: 0.001 s
% 0.91/0.50 % (753369)Peak memory usage: 11 MB
% 0.91/0.50 % (753369)------------------------------
% 0.91/0.50 % (753369)------------------------------
% 0.91/0.50 % (753370)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1399212483:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.91/0.50 % (753373)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3039186123:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.91/0.50 % (753378)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
% 1.59/0.54 % (753378)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.59/0.54 % (753376)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3862639197:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.59/0.54 % (753379)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.59/0.54 % (753378)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=2695393772:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.59/0.54 % (753379)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=4111731694:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.59/0.54 % (753380)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=719254053:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.59/0.54 % (753373)Instruction limit reached!
% 1.59/0.54 % (753373)------------------------------
% 1.59/0.54 % (753373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.54 % (753373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.54 % (753373)CaDiCaL version: 2.1.3
% 1.59/0.54 % (753373)Termination reason: Instruction limit
% 1.59/0.54 % (753373)Termination phase: Saturation
% 1.59/0.54 % (753373)Time elapsed: 0.010 s
% 1.59/0.54 % (753373)Peak memory usage: 11 MB
% 1.59/0.54 % (753373)Instructions burned: 23 (million)
% 1.59/0.54 % (753379)Instruction limit reached!
% 1.59/0.54 % (753379)------------------------------
% 1.59/0.54 % (753379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.54 % (753379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.54 % (753379)CaDiCaL version: 2.1.3
% 1.59/0.54 % (753379)Termination reason: Instruction limit
% 1.59/0.54 % (753379)Termination phase: Saturation
% 1.59/0.54 % (753379)Time elapsed: 0.005 s
% 1.59/0.54 % (753379)Peak memory usage: 12 MB
% 1.59/0.54 % (753379)Instructions burned: 9 (million)
% 1.59/0.54 % (753378)Instruction limit reached!
% 1.59/0.54 % (753378)------------------------------
% 1.59/0.54 % (753378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.54 % (753378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.54 % (753378)CaDiCaL version: 2.1.3
% 1.59/0.54 % (753378)Termination reason: Instruction limit
% 1.59/0.54 % (753378)Termination phase: Saturation
% 1.59/0.54 % (753378)Time elapsed: 0.009 s
% 1.59/0.54 % (753378)Peak memory usage: 12 MB
% 1.59/0.54 % (753378)Instructions burned: 14 (million)
% 1.59/0.54 % (753370)Instruction limit reached!
% 1.59/0.54 % (753370)------------------------------
% 1.59/0.54 % (753370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.54 % (753370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.54 % (753370)CaDiCaL version: 2.1.3
% 1.59/0.54 % (753370)Termination reason: Instruction limit
% 1.59/0.54 % (753370)Termination phase: Saturation
% 1.59/0.54 % (753370)Time elapsed: 0.024 s
% 1.59/0.54 % (753370)Peak memory usage: 12 MB
% 1.59/0.54 % (753370)Instructions burned: 27 (million)
% 1.59/0.54 % (753380)Instruction limit reached!
% 1.59/0.54 % (753380)------------------------------
% 1.59/0.54 % (753380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.54 % (753380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.54 % (753380)CaDiCaL version: 2.1.3
% 1.59/0.54 % (753380)Termination reason: Instruction limit
% 1.59/0.54 % (753380)Termination phase: Saturation
% 1.59/0.54 % (753380)Time elapsed: 0.015 s
% 1.59/0.54 % (753380)Peak memory usage: 12 MB
% 1.59/0.54 % (753380)Instructions burned: 31 (million)
% 1.59/0.54 % (753376)Instruction limit reached!
% 1.59/0.54 % (753376)------------------------------
% 1.59/0.54 % (753376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.54 % (753376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.61 % (753376)CaDiCaL version: 2.1.3
% 2.10/0.61 % (753376)Termination reason: Instruction limit
% 2.10/0.61 % (753376)Termination phase: Saturation
% 2.10/0.61 % (753376)Time elapsed: 0.024 s
% 2.10/0.61 % (753376)Peak memory usage: 12 MB
% 2.10/0.61 % (753376)Instructions burned: 60 (million)
% 2.10/0.61 % (753388)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1572865889:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.10/0.61 % (753387)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3642431697:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.10/0.61 % (753388)Instruction limit reached!
% 2.10/0.61 % (753388)------------------------------
% 2.10/0.61 % (753388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.61 % (753388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.61 % (753388)CaDiCaL version: 2.1.3
% 2.10/0.61 % (753388)Termination reason: Instruction limit
% 2.10/0.61 % (753388)Termination phase: Saturation
% 2.10/0.61 % (753388)Time elapsed: 0.010 s
% 2.10/0.61 % (753388)Peak memory usage: 11 MB
% 2.10/0.61 % (753388)Instructions burned: 23 (million)
% 2.10/0.61 % (753387)Instruction limit reached!
% 2.10/0.61 % (753387)------------------------------
% 2.10/0.61 % (753387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.61 % (753387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.61 % (753387)CaDiCaL version: 2.1.3
% 2.10/0.61 % (753387)Termination reason: Instruction limit
% 2.10/0.61 % (753387)Termination phase: Saturation
% 2.10/0.61 % (753387)Time elapsed: 0.005 s
% 2.10/0.61 % (753387)Peak memory usage: 12 MB
% 2.10/0.61 % (753387)Instructions burned: 8 (million)
% 2.10/0.61 % (753389)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4043593339:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.10/0.61 % (753392)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2046235794:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.10/0.61 % (753392)Refutation not found, incomplete strategy
% 2.10/0.61 % (753392)------------------------------
% 2.10/0.61 % (753392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.61 % (753392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.61 % (753392)CaDiCaL version: 2.1.3
% 2.10/0.61 % (753392)Termination reason: Refutation not found, incomplete strategy
% 2.10/0.61 % (753392)Time elapsed: 0.001 s
% 2.10/0.61 % (753392)Peak memory usage: 11 MB
% 2.10/0.61 % (753392)------------------------------
% 2.10/0.61 % (753392)------------------------------
% 2.10/0.61 % (753391)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3641488540:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.10/0.61 % (753396)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.10/0.61 % (753390)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3472239714:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.10/0.61 % (753395)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=954554615:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.10/0.61 % (753396)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3877980911:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.10/0.61 % (753399)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1843719952:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.10/0.61 % (753396)Instruction limit reached!
% 2.10/0.61 % (753396)------------------------------
% 2.10/0.61 % (753396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.61 % (753396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.61 % (753396)CaDiCaL version: 2.1.3
% 2.10/0.61 % (753396)Termination reason: Instruction limit
% 2.10/0.61 % (753396)Termination phase: Saturation
% 2.10/0.61 % (753396)Time elapsed: 0.004 s
% 2.10/0.61 % (753396)Peak memory usage: 12 MB
% 2.10/0.61 % (753396)Instructions burned: 7 (million)
% 2.10/0.61 % (753389)Instruction limit reached!
% 2.10/0.61 % (753389)------------------------------
% 2.32/0.68 % (753389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.68 % (753389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.68 % (753389)CaDiCaL version: 2.1.3
% 2.32/0.68 % (753389)Termination reason: Instruction limit
% 2.32/0.68 % (753389)Termination phase: Saturation
% 2.32/0.68 % (753389)Time elapsed: 0.022 s
% 2.32/0.68 % (753389)Peak memory usage: 12 MB
% 2.32/0.68 % (753389)Instructions burned: 20 (million)
% 2.32/0.68 % (753399)Refutation not found, incomplete strategy
% 2.32/0.68 % (753399)------------------------------
% 2.32/0.68 % (753399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.68 % (753399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.68 % (753399)CaDiCaL version: 2.1.3
% 2.32/0.68 % (753399)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.68 % (753399)Time elapsed: 0.001 s
% 2.32/0.68 % (753399)Peak memory usage: 11 MB
% 2.32/0.68 % (753399)------------------------------
% 2.32/0.68 % (753399)------------------------------
% 2.32/0.68 % (753395)Instruction limit reached!
% 2.32/0.68 % (753395)------------------------------
% 2.32/0.68 % (753395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.68 % (753395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.68 % (753395)CaDiCaL version: 2.1.3
% 2.32/0.68 % (753395)Termination reason: Instruction limit
% 2.32/0.68 % (753395)Termination phase: Saturation
% 2.32/0.68 % (753395)Time elapsed: 0.020 s
% 2.32/0.68 % (753395)Peak memory usage: 12 MB
% 2.32/0.68 % (753395)Instructions burned: 42 (million)
% 2.32/0.68 % (753407)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3920175258:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.32/0.68 % (753406)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.32/0.68 % (753408)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=396180802:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.32/0.68 % (753407)Instruction limit reached!
% 2.32/0.68 % (753407)------------------------------
% 2.32/0.68 % (753407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.68 % (753407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.68 % (753407)CaDiCaL version: 2.1.3
% 2.32/0.68 % (753407)Termination reason: Instruction limit
% 2.32/0.68 % (753407)Termination phase: Saturation
% 2.32/0.68 % (753407)Time elapsed: 0.011 s
% 2.32/0.68 % (753407)Peak memory usage: 12 MB
% 2.32/0.68 % (753407)Instructions burned: 23 (million)
% 2.32/0.68 % (753408)Refutation not found, incomplete strategy
% 2.32/0.68 % (753408)------------------------------
% 2.32/0.68 % (753408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.68 % (753408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.68 % (753408)CaDiCaL version: 2.1.3
% 2.32/0.68 % (753408)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.68 % (753408)Time elapsed: 0.002 s
% 2.32/0.68 % (753408)Peak memory usage: 12 MB
% 2.32/0.68 % (753408)Instructions burned: 3 (million)
% 2.32/0.68 % (753408)------------------------------
% 2.32/0.68 % (753408)------------------------------
% 2.32/0.68 % (753406)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3920609279:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.32/0.68 % (753405)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=1627485123: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)
% 2.32/0.68 % (753405)Refutation not found, incomplete strategy
% 2.32/0.68 % (753405)------------------------------
% 2.32/0.68 % (753405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.32/0.68 % (753405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.32/0.68 % (753405)CaDiCaL version: 2.1.3
% 2.32/0.68 % (753405)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.68 % (753405)Time elapsed: 0.001 s
% 2.32/0.68 % (753405)Peak memory usage: 11 MB
% 2.32/0.68 % (753406)Refutation not found, incomplete strategy
% 2.32/0.68 % (753406)------------------------------
% 2.74/0.75 % (753406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.75 % (753406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.75 % (753406)CaDiCaL version: 2.1.3
% 2.74/0.75 % (753406)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.75 % (753406)Time elapsed: 0.005 s
% 2.74/0.75 % (753406)Peak memory usage: 11 MB
% 2.74/0.75 % (753406)Instructions burned: 2 (million)
% 2.74/0.75 % (753406)------------------------------
% 2.74/0.75 % (753406)------------------------------
% 2.74/0.75 % (753405)------------------------------
% 2.74/0.75 % (753405)------------------------------
% 2.74/0.75 % (753411)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=3445221243:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.74/0.75 % (753412)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=4161977493: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)
% 2.74/0.75 % (753415)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=2316409580: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)
% 2.74/0.75 % (753416)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3031661037:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.74/0.75 % (753416)Refutation not found, incomplete strategy
% 2.74/0.75 % (753416)------------------------------
% 2.74/0.75 % (753416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.75 % (753416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.75 % (753416)CaDiCaL version: 2.1.3
% 2.74/0.75 % (753416)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.75 % (753416)Time elapsed: 0.001 s
% 2.74/0.75 % (753416)Peak memory usage: 11 MB
% 2.74/0.75 % (753416)Instructions burned: 1 (million)
% 2.74/0.75 % (753416)------------------------------
% 2.74/0.75 % (753416)------------------------------
% 2.74/0.75 % (753421)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1020414322: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)
% 2.74/0.75 % (753415)Instruction limit reached!
% 2.74/0.75 % (753415)------------------------------
% 2.74/0.75 % (753415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.75 % (753415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.75 % (753415)CaDiCaL version: 2.1.3
% 2.74/0.75 % (753415)Termination reason: Instruction limit
% 2.74/0.75 % (753415)Termination phase: Saturation
% 2.74/0.75 % (753415)Time elapsed: 0.024 s
% 2.74/0.75 % (753415)Peak memory usage: 12 MB
% 2.74/0.75 % (753415)Instructions burned: 47 (million)
% 2.74/0.75 % (753391)Instruction limit reached!
% 2.74/0.75 % (753391)------------------------------
% 2.74/0.75 % (753391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.75 % (753391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.75 % (753391)CaDiCaL version: 2.1.3
% 2.74/0.75 % (753391)Termination reason: Instruction limit
% 2.74/0.75 % (753391)Termination phase: Saturation
% 2.74/0.75 % (753391)Time elapsed: 0.100 s
% 2.74/0.75 % (753391)Peak memory usage: 12 MB
% 2.74/0.75 % (753391)Instructions burned: 143 (million)
% 2.74/0.75 % (753421)Instruction limit reached!
% 2.74/0.75 % (753421)------------------------------
% 2.74/0.75 % (753421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.75 % (753421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.75 % (753421)CaDiCaL version: 2.1.3
% 2.74/0.75 % (753421)Termination reason: Instruction limit
% 2.74/0.75 % (753421)Termination phase: Saturation
% 2.74/0.75 % (753421)Time elapsed: 0.016 s
% 2.74/0.75 % (753421)Peak memory usage: 12 MB
% 2.74/0.75 % (753421)Instructions burned: 22 (million)
% 2.74/0.75 % (753423)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.74/0.75 % (753423)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2610513744:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.74/0.80 % (753424)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2083811776:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.74/0.80 % (753425)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=2824637884:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.74/0.80 % (753424)Instruction limit reached!
% 2.74/0.80 % (753424)------------------------------
% 2.74/0.80 % (753424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.80 % (753424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.80 % (753424)CaDiCaL version: 2.1.3
% 2.74/0.80 % (753424)Termination reason: Instruction limit
% 2.74/0.80 % (753424)Termination phase: Saturation
% 2.74/0.80 % (753424)Time elapsed: 0.007 s
% 2.74/0.80 % (753424)Peak memory usage: 12 MB
% 2.74/0.80 % (753424)Instructions burned: 13 (million)
% 2.74/0.80 % (753334)Instruction limit reached!
% 2.74/0.80 % (753334)------------------------------
% 2.74/0.80 % (753334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.80 % (753334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.80 % (753334)CaDiCaL version: 2.1.3
% 2.74/0.80 % (753334)Termination reason: Instruction limit
% 2.74/0.80 % (753334)Termination phase: Saturation
% 2.74/0.80 % (753334)Time elapsed: 0.318 s
% 2.74/0.80 % (753334)Peak memory usage: 13 MB
% 2.74/0.80 % (753334)Instructions burned: 635 (million)
% 2.74/0.80 % (753430)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1933883253:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.74/0.80 % (753429)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2625491321:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.74/0.80 % (753429)Refutation not found, incomplete strategy
% 2.74/0.80 % (753429)------------------------------
% 2.74/0.80 % (753429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.80 % (753429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.80 % (753429)CaDiCaL version: 2.1.3
% 2.74/0.80 % (753429)Termination reason: Refutation not found, incomplete strategy
% 2.74/0.80 % (753429)Time elapsed: 0.002 s
% 2.74/0.80 % (753429)Peak memory usage: 11 MB
% 2.74/0.80 % (753429)Instructions burned: 1 (million)
% 2.74/0.80 % (753429)------------------------------
% 2.74/0.80 % (753429)------------------------------
% 2.74/0.80 % (753425)Instruction limit reached!
% 2.74/0.80 % (753425)------------------------------
% 2.74/0.80 % (753425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.80 % (753425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.80 % (753425)CaDiCaL version: 2.1.3
% 2.74/0.80 % (753425)Termination reason: Instruction limit
% 2.74/0.80 % (753425)Termination phase: Saturation
% 2.74/0.80 % (753425)Time elapsed: 0.035 s
% 2.74/0.80 % (753425)Peak memory usage: 13 MB
% 2.74/0.80 % (753425)Instructions burned: 68 (million)
% 2.74/0.80 % (753430)Instruction limit reached!
% 2.74/0.80 % (753430)------------------------------
% 2.74/0.80 % (753430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.80 % (753430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.80 % (753430)CaDiCaL version: 2.1.3
% 2.74/0.80 % (753430)Termination reason: Instruction limit
% 2.74/0.80 % (753430)Termination phase: Saturation
% 2.74/0.80 % (753430)Time elapsed: 0.016 s
% 2.74/0.80 % (753430)Peak memory usage: 12 MB
% 2.74/0.80 % (753430)Instructions burned: 31 (million)
% 2.74/0.80 % (753423)Instruction limit reached!
% 2.74/0.80 % (753423)------------------------------
% 2.74/0.80 % (753423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.74/0.80 % (753423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/0.80 % (753423)CaDiCaL version: 2.1.3
% 2.74/0.80 % (753423)Termination reason: Instruction limit
% 2.74/0.80 % (753423)Termination phase: Saturation
% 2.74/0.80 % (753423)Time elapsed: 0.074 s
% 2.74/0.80 % (753423)Peak memory usage: 12 MB
% 2.74/0.80 % (753423)Instructions burned: 201 (million)
% 2.74/0.80 % (753411)Instruction limit reached!
% 2.74/0.80 % (753411)------------------------------
% 2.74/0.80 % (753411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.32/0.86 % (753411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.86 % (753411)CaDiCaL version: 2.1.3
% 3.32/0.86 % (753411)Termination reason: Instruction limit
% 3.32/0.86 % (753411)Termination phase: Saturation
% 3.32/0.86 % (753411)Time elapsed: 0.130 s
% 3.32/0.86 % (753411)Peak memory usage: 13 MB
% 3.32/0.86 % (753411)Instructions burned: 317 (million)
% 3.32/0.86 % (753435)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=894979242:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.32/0.86 % (753435)Refutation not found, incomplete strategy
% 3.32/0.86 % (753435)------------------------------
% 3.32/0.86 % (753435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.32/0.86 % (753435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.86 % (753435)CaDiCaL version: 2.1.3
% 3.32/0.86 % (753435)Termination reason: Refutation not found, incomplete strategy
% 3.32/0.86 % (753435)Time elapsed: 0.001 s
% 3.32/0.86 % (753435)Peak memory usage: 11 MB
% 3.32/0.86 % (753435)Instructions burned: 1 (million)
% 3.32/0.86 % (753435)------------------------------
% 3.32/0.86 % (753435)------------------------------
% 3.32/0.86 % (753434)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=71916645:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.32/0.86 % (753433)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=205489923:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.32/0.86 % (753436)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.32/0.86 % (753436)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=35969121:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.32/0.86 % (753437)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2594477268:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.32/0.86 % (753437)Refutation not found, incomplete strategy
% 3.32/0.86 % (753437)------------------------------
% 3.32/0.86 % (753437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.32/0.86 % (753437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.86 % (753437)CaDiCaL version: 2.1.3
% 3.32/0.86 % (753437)Termination reason: Refutation not found, incomplete strategy
% 3.32/0.86 % (753437)Time elapsed: 0.0000 s
% 3.32/0.86 % (753437)Peak memory usage: 11 MB
% 3.32/0.86 % (753437)------------------------------
% 3.32/0.86 % (753437)------------------------------
% 3.32/0.86 % (753439)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2113427913:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.32/0.86 % (753444)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=613536856:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.32/0.86 % (753444)Refutation not found, incomplete strategy
% 3.32/0.86 % (753444)------------------------------
% 3.32/0.86 % (753444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.32/0.86 % (753444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.86 % (753444)CaDiCaL version: 2.1.3
% 3.32/0.86 % (753444)Termination reason: Refutation not found, incomplete strategy
% 3.32/0.86 % (753444)Time elapsed: 0.001 s
% 3.32/0.86 % (753444)Peak memory usage: 11 MB
% 3.32/0.86 % (753444)------------------------------
% 3.32/0.86 % (753444)------------------------------
% 3.32/0.86 % (753434)Instruction limit reached!
% 3.32/0.86 % (753434)------------------------------
% 3.32/0.86 % (753434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.32/0.86 % (753434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.32/0.86 % (753434)CaDiCaL version: 2.1.3
% 3.32/0.86 % (753434)Termination reason: Instruction limit
% 3.32/0.86 % (753434)Termination phase: Saturation
% 3.32/0.86 % (753434)Time elapsed: 0.042 s
% 3.32/0.86 % (753434)Peak memory usage: 12 MB
% 3.32/0.86 % (753434)Instructions burned: 35 (million)
% 3.32/0.86 % (753447)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3950501180:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.32/0.86 % (753447)Refutation not found, incomplete strategy
% 3.90/0.91 % (753447)------------------------------
% 3.90/0.91 % (753447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.91 % (753447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.91 % (753447)CaDiCaL version: 2.1.3
% 3.90/0.91 % (753447)Termination reason: Refutation not found, incomplete strategy
% 3.90/0.91 % (753447)Time elapsed: 0.001 s
% 3.90/0.91 % (753447)Peak memory usage: 11 MB
% 3.90/0.91 % (753447)------------------------------
% 3.90/0.91 % (753447)------------------------------
% 3.90/0.91 % (753439)Instruction limit reached!
% 3.90/0.91 % (753439)------------------------------
% 3.90/0.91 % (753439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.91 % (753439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.91 % (753439)CaDiCaL version: 2.1.3
% 3.90/0.91 % (753439)Termination reason: Instruction limit
% 3.90/0.91 % (753439)Termination phase: Saturation
% 3.90/0.91 % (753439)Time elapsed: 0.042 s
% 3.90/0.91 % (753439)Peak memory usage: 12 MB
% 3.90/0.91 % (753439)Instructions burned: 96 (million)
% 3.90/0.91 % (753448)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3838608426:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.90/0.91 % (753448)Refutation not found, incomplete strategy
% 3.90/0.91 % (753448)------------------------------
% 3.90/0.91 % (753448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.91 % (753448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.91 % (753448)CaDiCaL version: 2.1.3
% 3.90/0.91 % (753448)Termination reason: Refutation not found, incomplete strategy
% 3.90/0.91 % (753448)Time elapsed: 0.001 s
% 3.90/0.91 % (753448)Peak memory usage: 12 MB
% 3.90/0.91 % (753448)Instructions burned: 1 (million)
% 3.90/0.91 % (753448)------------------------------
% 3.90/0.91 % (753448)------------------------------
% 3.90/0.91 % (753450)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4243230720:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.90/0.91 % (753450)Refutation not found, incomplete strategy
% 3.90/0.91 % (753450)------------------------------
% 3.90/0.91 % (753450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.91 % (753450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.91 % (753450)CaDiCaL version: 2.1.3
% 3.90/0.91 % (753450)Termination reason: Refutation not found, incomplete strategy
% 3.90/0.91 % (753450)Time elapsed: 0.001 s
% 3.90/0.91 % (753450)Peak memory usage: 11 MB
% 3.90/0.91 % (753450)Instructions burned: 2 (million)
% 3.90/0.91 % (753450)------------------------------
% 3.90/0.91 % (753450)------------------------------
% 3.90/0.91 % (753451)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1872619766:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.90/0.91 % (753453)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=4293297471:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.90/0.91 % (753451)Instruction limit reached!
% 3.90/0.91 % (753451)------------------------------
% 3.90/0.91 % (753451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.91 % (753451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.91 % (753453)Refutation not found, incomplete strategy
% 3.90/0.91 % (753453)------------------------------
% 3.90/0.91 % (753453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.91 % (753451)CaDiCaL version: 2.1.3
% 3.90/0.91 % (753453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.91 % (753451)Termination reason: Instruction limit
% 3.90/0.91 % (753451)Termination phase: Saturation
% 3.90/0.91 % (753451)Time elapsed: 0.023 s
% 3.90/0.91 % (753451)Peak memory usage: 12 MB
% 3.90/0.91 % (753453)CaDiCaL version: 2.1.3
% 3.90/0.91 % (753451)Instructions burned: 44 (million)
% 3.90/0.91 % (753453)Termination reason: Refutation not found, incomplete strategy
% 3.90/0.91 % (753453)Time elapsed: 0.001 s
% 3.90/0.91 % (753453)Peak memory usage: 12 MB
% 3.90/0.91 % (753453)Instructions burned: 1 (million)
% 3.90/0.91 % (753453)------------------------------
% 3.90/0.91 % (753453)------------------------------
% 3.90/0.91 % (753433)Instruction limit reached!
% 3.90/0.91 % (753433)------------------------------
% 3.90/0.91 % (753433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.98 % (753433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.98 % (753433)CaDiCaL version: 2.1.3
% 3.90/0.98 % (753433)Termination reason: Instruction limit
% 3.90/0.98 % (753433)Termination phase: Saturation
% 3.90/0.98 % (753433)Time elapsed: 0.101 s
% 3.90/0.98 % (753433)Peak memory usage: 12 MB
% 3.90/0.98 % (753433)Instructions burned: 138 (million)
% 3.90/0.98 % (753455)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1935567823:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.90/0.98 % (753458)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1647321702:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.90/0.98 % (753459)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=554265648:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.90/0.98 % (753460)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=2571243910: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)
% 3.90/0.98 % (753436)Instruction limit reached!
% 3.90/0.98 % (753436)------------------------------
% 3.90/0.98 % (753436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.98 % (753436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.98 % (753436)CaDiCaL version: 2.1.3
% 3.90/0.98 % (753436)Termination reason: Instruction limit
% 3.90/0.98 % (753436)Termination phase: Saturation
% 3.90/0.98 % (753436)Time elapsed: 0.117 s
% 3.90/0.98 % (753436)Peak memory usage: 12 MB
% 3.90/0.98 % (753436)Instructions burned: 181 (million)
% 3.90/0.98 % (753412)Instruction limit reached!
% 3.90/0.98 % (753412)------------------------------
% 3.90/0.98 % (753412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.98 % (753412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.98 % (753412)CaDiCaL version: 2.1.3
% 3.90/0.98 % (753412)Termination reason: Instruction limit
% 3.90/0.98 % (753412)Termination phase: Saturation
% 3.90/0.98 % (753412)Time elapsed: 0.280 s
% 3.90/0.98 % (753412)Peak memory usage: 13 MB
% 3.90/0.98 % (753412)Instructions burned: 854 (million)
% 3.90/0.98 % (753459)Instruction limit reached!
% 3.90/0.98 % (753459)------------------------------
% 3.90/0.98 % (753459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.98 % (753459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.98 % (753459)CaDiCaL version: 2.1.3
% 3.90/0.98 % (753459)Termination reason: Instruction limit
% 3.90/0.98 % (753459)Termination phase: Saturation
% 3.90/0.98 % (753459)Time elapsed: 0.032 s
% 3.90/0.98 % (753459)Peak memory usage: 12 MB
% 3.90/0.98 % (753459)Instructions burned: 65 (million)
% 3.90/0.98 % (753458)Instruction limit reached!
% 3.90/0.98 % (753458)------------------------------
% 3.90/0.98 % (753458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.98 % (753458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.98 % (753458)CaDiCaL version: 2.1.3
% 3.90/0.98 % (753458)Termination reason: Instruction limit
% 3.90/0.98 % (753458)Termination phase: Saturation
% 3.90/0.98 % (753458)Time elapsed: 0.037 s
% 3.90/0.98 % (753458)Peak memory usage: 12 MB
% 3.90/0.98 % (753458)Instructions burned: 95 (million)
% 3.90/0.98 % (753465)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=1462731329: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)
% 3.90/0.98 % (753465)Refutation not found, incomplete strategy
% 3.90/0.98 % (753465)------------------------------
% 3.90/0.98 % (753465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.90/0.98 % (753465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/0.98 % (753465)CaDiCaL version: 2.1.3
% 3.90/0.98 % (753465)Termination reason: Refutation not found, incomplete strategy
% 3.90/0.98 % (753465)Time elapsed: 0.001 s
% 3.90/0.98 % (753465)Peak memory usage: 12 MB
% 5.20/1.06 % (753465)------------------------------
% 5.20/1.06 % (753465)------------------------------
% 5.20/1.06 % (753466)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2100842730:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 5.20/1.06 % (753466)Refutation not found, incomplete strategy
% 5.20/1.06 % (753466)------------------------------
% 5.20/1.06 % (753466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.06 % (753466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.06 % (753466)CaDiCaL version: 2.1.3
% 5.20/1.06 % (753466)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.06 % (753466)Time elapsed: 0.0000 s
% 5.20/1.06 % (753466)Peak memory usage: 11 MB
% 5.20/1.06 % (753466)------------------------------
% 5.20/1.06 % (753466)------------------------------
% 5.20/1.06 % (753468)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=2510766725:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 5.20/1.07 % (753460)Instruction limit reached!
% 5.20/1.07 % (753460)------------------------------
% 5.20/1.07 % (753460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.07 % (753460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.07 % (753460)CaDiCaL version: 2.1.3
% 5.20/1.07 % (753460)Termination reason: Instruction limit
% 5.20/1.07 % (753460)Termination phase: Saturation
% 5.20/1.07 % (753460)Time elapsed: 0.052 s
% 5.20/1.07 % (753460)Peak memory usage: 12 MB
% 5.20/1.07 % (753460)Instructions burned: 106 (million)
% 5.20/1.07 % (753467)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=822844424:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 5.20/1.07 % (753471)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=835267435:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/91Mi)
% 5.20/1.07 % (753472)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3074464344:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2993 on theBenchmark for (2993ds/66Mi)
% 5.20/1.07 % (753472)Refutation not found, incomplete strategy
% 5.20/1.07 % (753472)------------------------------
% 5.20/1.07 % (753472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.07 % (753472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.07 % (753472)CaDiCaL version: 2.1.3
% 5.20/1.07 % (753472)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.07 % (753472)Time elapsed: 0.0000 s
% 5.20/1.07 % (753472)Peak memory usage: 11 MB
% 5.20/1.07 % (753472)------------------------------
% 5.20/1.07 % (753472)------------------------------
% 5.20/1.07 % (753468)Instruction limit reached!
% 5.20/1.07 % (753468)------------------------------
% 5.20/1.07 % (753468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.07 % (753468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.07 % (753468)CaDiCaL version: 2.1.3
% 5.20/1.07 % (753468)Termination reason: Instruction limit
% 5.20/1.07 % (753468)Termination phase: Saturation
% 5.20/1.07 % (753468)Time elapsed: 0.016 s
% 5.20/1.07 % (753468)Peak memory usage: 12 MB
% 5.20/1.07 % (753468)Instructions burned: 34 (million)
% 5.20/1.07 % (753474)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1049427121:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 5.20/1.07 % (753478)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=167255221:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 5.20/1.07 % (753474)Instruction limit reached!
% 5.20/1.07 % (753474)------------------------------
% 5.20/1.07 % (753474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.07 % (753474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.07 % (753474)CaDiCaL version: 2.1.3
% 5.20/1.07 % (753474)Termination reason: Instruction limit
% 5.20/1.07 % (753474)Termination phase: Saturation
% 5.20/1.07 % (753474)Time elapsed: 0.011 s
% 5.20/1.07 % (753474)Peak memory usage: 12 MB
% 5.20/1.07 % (753474)Instructions burned: 23 (million)
% 5.20/1.07 % (753479)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2682181543:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 5.20/1.15 % (753479)Refutation not found, incomplete strategy
% 5.20/1.15 % (753479)------------------------------
% 5.20/1.15 % (753479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.15 % (753479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.15 % (753479)CaDiCaL version: 2.1.3
% 5.20/1.15 % (753479)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.15 % (753479)Time elapsed: 0.001 s
% 5.20/1.15 % (753479)Peak memory usage: 11 MB
% 5.20/1.15 % (753479)------------------------------
% 5.20/1.15 % (753479)------------------------------
% 5.20/1.15 % (753471)Instruction limit reached!
% 5.20/1.15 % (753471)------------------------------
% 5.20/1.15 % (753471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.15 % (753471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.15 % (753471)CaDiCaL version: 2.1.3
% 5.20/1.15 % (753471)Termination reason: Instruction limit
% 5.20/1.15 % (753471)Termination phase: Saturation
% 5.20/1.15 % (753471)Time elapsed: 0.037 s
% 5.20/1.15 % (753471)Peak memory usage: 12 MB
% 5.20/1.15 % (753471)Instructions burned: 92 (million)
% 5.20/1.15 % (753482)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.20/1.15 % (753482)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3412724514: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)
% 5.20/1.15 % (753484)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=785229848:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/340Mi)
% 5.20/1.15 % (753485)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=4013253124:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 5.20/1.15 % (753485)Refutation not found, incomplete strategy
% 5.20/1.15 % (753485)------------------------------
% 5.20/1.15 % (753485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.15 % (753485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.15 % (753485)CaDiCaL version: 2.1.3
% 5.20/1.15 % (753485)Termination reason: Refutation not found, incomplete strategy
% 5.20/1.15 % (753485)Time elapsed: 0.001 s
% 5.20/1.15 % (753485)Peak memory usage: 12 MB
% 5.20/1.15 % (753485)------------------------------
% 5.20/1.15 % (753485)------------------------------
% 5.20/1.15 % (753390)Instruction limit reached!
% 5.20/1.15 % (753390)------------------------------
% 5.20/1.15 % (753390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.15 % (753390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.15 % (753390)CaDiCaL version: 2.1.3
% 5.20/1.15 % (753390)Termination reason: Instruction limit
% 5.20/1.15 % (753390)Termination phase: Saturation
% 5.20/1.15 % (753390)Time elapsed: 0.455 s
% 5.20/1.15 % (753390)Peak memory usage: 12 MB
% 5.20/1.15 % (753390)Instructions burned: 1242 (million)
% 5.20/1.15 % (753455)Instruction limit reached!
% 5.20/1.15 % (753455)------------------------------
% 5.20/1.15 % (753455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.20/1.15 % (753455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.20/1.15 % (753455)CaDiCaL version: 2.1.3
% 5.20/1.15 % (753455)Termination reason: Instruction limit
% 5.20/1.15 % (753455)Termination phase: Saturation
% 5.20/1.15 % (753455)Time elapsed: 0.164 s
% 5.20/1.15 % (753455)Peak memory usage: 12 MB
% 5.20/1.15 % (753455)Instructions burned: 451 (million)
% 5.20/1.15 % (753489)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.20/1.15 % (753489)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2489682644:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/373Mi)
% 5.20/1.15 % (753490)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3172445981:i=116:ep=RSTC:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/116Mi)
% 5.20/1.15 % (753482)Instruction limit reached!
% 5.20/1.15 % (753482)------------------------------
% 5.73/1.19 % (753482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.19 % (753482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.19 % (753482)CaDiCaL version: 2.1.3
% 5.73/1.19 % (753482)Termination reason: Instruction limit
% 5.73/1.19 % (753482)Termination phase: Saturation
% 5.73/1.19 % (753482)Time elapsed: 0.060 s
% 5.73/1.19 % (753482)Peak memory usage: 12 MB
% 5.73/1.19 % (753482)Instructions burned: 137 (million)
% 5.73/1.19 % (753491)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2055031728:i=575:rtra=on_2992 on theBenchmark for (2992ds/575Mi)
% 5.73/1.19 % (753491)Refutation not found, incomplete strategy
% 5.73/1.19 % (753491)------------------------------
% 5.73/1.19 % (753491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.19 % (753491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.19 % (753491)CaDiCaL version: 2.1.3
% 5.73/1.19 % (753491)Termination reason: Refutation not found, incomplete strategy
% 5.73/1.19 % (753491)Time elapsed: 0.001 s
% 5.73/1.19 % (753491)Peak memory usage: 11 MB
% 5.73/1.19 % (753491)Instructions burned: 1 (million)
% 5.73/1.19 % (753491)------------------------------
% 5.73/1.19 % (753491)------------------------------
% 5.73/1.19 % (753494)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=602887819:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.73/1.19 % (753496)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=3982587868:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/9840Mi)
% 5.73/1.19 % (753490)Instruction limit reached!
% 5.73/1.19 % (753490)------------------------------
% 5.73/1.19 % (753490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.19 % (753490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.19 % (753490)CaDiCaL version: 2.1.3
% 5.73/1.19 % (753490)Termination reason: Instruction limit
% 5.73/1.19 % (753490)Termination phase: Saturation
% 5.73/1.19 % (753490)Time elapsed: 0.049 s
% 5.73/1.19 % (753490)Peak memory usage: 12 MB
% 5.73/1.19 % (753490)Instructions burned: 118 (million)
% 5.73/1.19 % (753499)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3929161545:i=421:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/421Mi)
% 5.73/1.19 % (753499)Refutation not found, incomplete strategy
% 5.73/1.19 % (753499)------------------------------
% 5.73/1.19 % (753499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.19 % (753499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.19 % (753499)CaDiCaL version: 2.1.3
% 5.73/1.19 % (753499)Termination reason: Refutation not found, incomplete strategy
% 5.73/1.19 % (753499)Time elapsed: 0.001 s
% 5.73/1.19 % (753499)Peak memory usage: 11 MB
% 5.73/1.19 % (753499)------------------------------
% 5.73/1.19 % (753499)------------------------------
% 5.73/1.19 % (753478)Instruction limit reached!
% 5.73/1.19 % (753478)------------------------------
% 5.73/1.19 % (753478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.73/1.19 % (753478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.19 % (753478)CaDiCaL version: 2.1.3
% 5.73/1.19 % (753478)Termination reason: Instruction limit
% 5.73/1.19 % (753478)Termination phase: Saturation
% 5.73/1.19 % (753478)Time elapsed: 0.147 s
% 5.73/1.19 % (753478)Peak memory usage: 14 MB
% 5.73/1.19 % (753478)Instructions burned: 340 (million)
% 5.73/1.19 % (753501)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.73/1.19 % (753501)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=1373906597:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.73/1.19 % (753502)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3431048161:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 6.08/1.24 % (753502)Instruction limit reached!
% 6.08/1.24 % (753502)------------------------------
% 6.08/1.24 % (753502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.24 % (753502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.24 % (753502)CaDiCaL version: 2.1.3
% 6.08/1.24 % (753502)Termination reason: Instruction limit
% 6.08/1.24 % (753502)Termination phase: Saturation
% 6.08/1.24 % (753502)Time elapsed: 0.016 s
% 6.08/1.24 % (753502)Peak memory usage: 12 MB
% 6.08/1.24 % (753502)Instructions burned: 32 (million)
% 6.08/1.24 % (753484)Instruction limit reached!
% 6.08/1.24 % (753484)------------------------------
% 6.08/1.24 % (753484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.24 % (753484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.24 % (753484)CaDiCaL version: 2.1.3
% 6.08/1.24 % (753484)Termination reason: Instruction limit
% 6.08/1.24 % (753484)Termination phase: Saturation
% 6.08/1.24 % (753484)Time elapsed: 0.156 s
% 6.08/1.24 % (753484)Peak memory usage: 13 MB
% 6.08/1.24 % (753484)Instructions burned: 341 (million)
% 6.08/1.24 % (753505)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 6.08/1.24 % (753505)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
% 6.08/1.24 % (753505)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=882052063:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2991 on theBenchmark for (2991ds/1440Mi)
% 6.08/1.24 % (753506)dis+10_2_sil=128000:si=on:random_seed=3737396066:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2991 on theBenchmark for (2991ds/339Mi)
% 6.08/1.24 % (753506)Refutation not found, incomplete strategy
% 6.08/1.24 % (753506)------------------------------
% 6.08/1.24 % (753506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.24 % (753506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.24 % (753506)CaDiCaL version: 2.1.3
% 6.08/1.24 % (753506)Termination reason: Refutation not found, incomplete strategy
% 6.08/1.24 % (753506)Time elapsed: 0.0000 s
% 6.08/1.24 % (753506)Peak memory usage: 11 MB
% 6.08/1.24 % (753506)------------------------------
% 6.08/1.24 % (753506)------------------------------
% 6.08/1.24 % (753494)Instruction limit reached!
% 6.08/1.24 % (753494)------------------------------
% 6.08/1.24 % (753494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.24 % (753494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.24 % (753494)CaDiCaL version: 2.1.3
% 6.08/1.24 % (753494)Termination reason: Instruction limit
% 6.08/1.24 % (753494)Termination phase: Saturation
% 6.08/1.24 % (753494)Time elapsed: 0.112 s
% 6.08/1.24 % (753494)Peak memory usage: 12 MB
% 6.08/1.24 % (753494)Instructions burned: 271 (million)
% 6.08/1.24 % (753509)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=1718258982:i=111:add=on:fgj=on:rtra=on:fdi=1024_2991 on theBenchmark for (2991ds/111Mi)
% 6.08/1.24 % (753510)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=1401499797:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/122Mi)
% 6.08/1.24 % (753510)Refutation not found, incomplete strategy
% 6.08/1.24 % (753510)------------------------------
% 6.08/1.24 % (753510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.24 % (753510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.24 % (753510)CaDiCaL version: 2.1.3
% 6.08/1.24 % (753510)Termination reason: Refutation not found, incomplete strategy
% 6.08/1.24 % (753510)Time elapsed: 0.001 s
% 6.08/1.24 % (753510)Peak memory usage: 12 MB
% 6.08/1.24 % (753510)------------------------------
% 6.08/1.24 % (753510)------------------------------
% 6.08/1.24 % (753489)Instruction limit reached!
% 6.08/1.24 % (753489)------------------------------
% 6.08/1.24 % (753489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.08/1.24 % (753489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.08/1.24 % (753489)CaDiCaL version: 2.1.3
% 6.08/1.24 % (753489)Termination reason: Instruction limit
% 6.32/1.38 % (753489)Termination phase: Saturation
% 6.32/1.38 % (753489)Time elapsed: 0.178 s
% 6.32/1.38 % (753489)Peak memory usage: 12 MB
% 6.32/1.38 % (753489)Instructions burned: 373 (million)
% 6.32/1.38 % (753513)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=493389289:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/136Mi)
% 6.32/1.38 % (753513)Refutation not found, incomplete strategy
% 6.32/1.38 % (753513)------------------------------
% 6.32/1.38 % (753513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.38 % (753513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.38 % (753513)CaDiCaL version: 2.1.3
% 6.32/1.38 % (753513)Termination reason: Refutation not found, incomplete strategy
% 6.32/1.38 % (753513)Time elapsed: 0.001 s
% 6.32/1.38 % (753513)Peak memory usage: 11 MB
% 6.32/1.38 % (753513)Instructions burned: 1 (million)
% 6.32/1.38 % (753513)------------------------------
% 6.32/1.38 % (753513)------------------------------
% 6.32/1.38 % (753514)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3573451778:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/232Mi)
% 6.32/1.38 % (753514)Refutation not found, incomplete strategy
% 6.32/1.38 % (753514)------------------------------
% 6.32/1.38 % (753514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.38 % (753514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.38 % (753514)CaDiCaL version: 2.1.3
% 6.32/1.38 % (753514)Termination reason: Refutation not found, incomplete strategy
% 6.32/1.38 % (753514)Time elapsed: 0.001 s
% 6.32/1.38 % (753514)Peak memory usage: 11 MB
% 6.32/1.38 % (753514)------------------------------
% 6.32/1.38 % (753514)------------------------------
% 6.32/1.38 % (753509)Instruction limit reached!
% 6.32/1.38 % (753509)------------------------------
% 6.32/1.38 % (753509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.38 % (753509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.38 % (753509)CaDiCaL version: 2.1.3
% 6.32/1.38 % (753509)Termination reason: Instruction limit
% 6.32/1.38 % (753509)Termination phase: Saturation
% 6.32/1.38 % (753509)Time elapsed: 0.052 s
% 6.32/1.38 % (753509)Peak memory usage: 12 MB
% 6.32/1.38 % (753509)Instructions burned: 112 (million)
% 6.32/1.38 % (753501)Instruction limit reached!
% 6.32/1.38 % (753501)------------------------------
% 6.32/1.38 % (753501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.38 % (753501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.38 % (753501)CaDiCaL version: 2.1.3
% 6.32/1.38 % (753501)Termination reason: Instruction limit
% 6.32/1.38 % (753501)Termination phase: Saturation
% 6.32/1.38 % (753501)Time elapsed: 0.113 s
% 6.32/1.38 % (753501)Peak memory usage: 13 MB
% 6.32/1.38 % (753501)Instructions burned: 272 (million)
% 6.32/1.38 % (753516)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=515067169:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/1254Mi)
% 6.32/1.38 % (753516)Refutation not found, incomplete strategy
% 6.32/1.38 % (753516)------------------------------
% 6.32/1.38 % (753516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.32/1.38 % (753516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.32/1.38 % (753516)CaDiCaL version: 2.1.3
% 6.32/1.38 % (753516)Termination reason: Refutation not found, incomplete strategy
% 6.32/1.38 % (753516)Time elapsed: 0.002 s
% 6.32/1.38 % (753516)Peak memory usage: 11 MB
% 6.32/1.38 % (753516)Instructions burned: 3 (million)
% 6.32/1.38 % (753516)------------------------------
% 6.32/1.38 % (753516)------------------------------
% 6.32/1.38 % (753518)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.32/1.38 % (753519)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3947222501:i=619:add=on:rtra=on_2990 on theBenchmark for (2990ds/619Mi)
% 6.32/1.38 % (753518)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=2351859461:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2990 on theBenchmark for (2990ds/281Mi)
% 7.24/1.51 % (753520)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=866736497:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/865Mi)
% 7.24/1.51 % (753519)Refutation not found, incomplete strategy
% 7.24/1.51 % (753519)------------------------------
% 7.24/1.51 % (753519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.24/1.51 % (753519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.51 % (753519)CaDiCaL version: 2.1.3
% 7.24/1.51 % (753519)Termination reason: Refutation not found, incomplete strategy
% 7.24/1.51 % (753519)Time elapsed: 0.002 s
% 7.24/1.51 % (753519)Peak memory usage: 12 MB
% 7.24/1.51 % (753519)Instructions burned: 3 (million)
% 7.24/1.51 % (753467)Instruction limit reached!
% 7.24/1.51 % (753467)------------------------------
% 7.24/1.51 % (753467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.24/1.51 % (753467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.51 % (753467)CaDiCaL version: 2.1.3
% 7.24/1.51 % (753467)Termination reason: Instruction limit
% 7.24/1.51 % (753467)Termination phase: Saturation
% 7.24/1.51 % (753467)Time elapsed: 0.321 s
% 7.24/1.51 % (753467)Peak memory usage: 13 MB
% 7.24/1.51 % (753467)Instructions burned: 495 (million)
% 7.24/1.51 % (753519)------------------------------
% 7.24/1.51 % (753519)------------------------------
% 7.24/1.51 % (753522)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2604161360:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/212Mi)
% 7.24/1.51 % (753522)Refutation not found, incomplete strategy
% 7.24/1.51 % (753522)------------------------------
% 7.24/1.51 % (753522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.24/1.51 % (753522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.51 % (753522)CaDiCaL version: 2.1.3
% 7.24/1.51 % (753522)Termination reason: Refutation not found, incomplete strategy
% 7.24/1.51 % (753522)Time elapsed: 0.0000 s
% 7.24/1.51 % (753522)Peak memory usage: 12 MB
% 7.24/1.51 % (753522)------------------------------
% 7.24/1.51 % (753522)------------------------------
% 7.24/1.51 % (753527)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=96776005:st=1.5:i=346:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/346Mi)
% 7.24/1.51 % (753526)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1727547342:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/130Mi)
% 7.24/1.51 % (753527)Refutation not found, incomplete strategy
% 7.24/1.51 % (753527)------------------------------
% 7.24/1.51 % (753527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.24/1.51 % (753527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.51 % (753526)Refutation not found, incomplete strategy
% 7.24/1.51 % (753526)------------------------------
% 7.24/1.51 % (753526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.24/1.51 % (753527)CaDiCaL version: 2.1.3
% 7.24/1.51 % (753527)Termination reason: Refutation not found, incomplete strategy
% 7.24/1.51 % (753527)Time elapsed: 0.001 s
% 7.24/1.51 % (753527)Peak memory usage: 11 MB
% 7.24/1.51 % (753526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.24/1.51 % (753527)Instructions burned: 2 (million)
% 7.24/1.51 % (753526)CaDiCaL version: 2.1.3
% 7.24/1.51 % (753526)Termination reason: Refutation not found, incomplete strategy
% 7.24/1.51 % (753526)Time elapsed: 0.001 s
% 7.24/1.51 % (753526)Peak memory usage: 12 MB
% 7.24/1.51 % (753527)------------------------------
% 7.24/1.51 % (753527)------------------------------
% 7.24/1.51 % (753526)------------------------------
% 7.24/1.51 % (753526)------------------------------
% 7.24/1.51 % (753529)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=1653795909:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/152Mi)
% 7.24/1.51 % (753533)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=3366665521:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/387Mi)
% 7.24/1.51 % (753533)Refutation not found, incomplete strategy
% 7.24/1.51 % (753533)------------------------------
% 7.24/1.51 % (753533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.24/1.51 % (753533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.75 % (753533)CaDiCaL version: 2.1.3
% 8.38/1.75 % (753533)Termination reason: Refutation not found, incomplete strategy
% 8.38/1.75 % (753533)Time elapsed: 0.001 s
% 8.38/1.75 % (753533)Peak memory usage: 11 MB
% 8.38/1.75 % (753533)Instructions burned: 1 (million)
% 8.38/1.75 % (753533)------------------------------
% 8.38/1.75 % (753533)------------------------------
% 8.38/1.75 % (753532)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=762630788:i=75:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/75Mi)
% 8.38/1.75 % (753536)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=507467166:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2990 on theBenchmark for (2990ds/148Mi)
% 8.38/1.75 % (753532)Instruction limit reached!
% 8.38/1.75 % (753532)------------------------------
% 8.38/1.75 % (753532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.75 % (753532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.75 % (753532)CaDiCaL version: 2.1.3
% 8.38/1.75 % (753532)Termination reason: Instruction limit
% 8.38/1.75 % (753532)Termination phase: Saturation
% 8.38/1.75 % (753532)Time elapsed: 0.035 s
% 8.38/1.75 % (753532)Peak memory usage: 12 MB
% 8.38/1.75 % (753532)Instructions burned: 76 (million)
% 8.38/1.75 % (753539)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2777221959:i=161:piset=and:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/161Mi)
% 8.38/1.75 % (753529)Instruction limit reached!
% 8.38/1.75 % (753529)------------------------------
% 8.38/1.75 % (753529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.75 % (753529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.75 % (753529)CaDiCaL version: 2.1.3
% 8.38/1.75 % (753529)Termination reason: Instruction limit
% 8.38/1.75 % (753529)Termination phase: Saturation
% 8.38/1.75 % (753529)Time elapsed: 0.076 s
% 8.38/1.75 % (753529)Peak memory usage: 13 MB
% 8.38/1.75 % (753529)Instructions burned: 152 (million)
% 8.38/1.75 % (753536)Instruction limit reached!
% 8.38/1.75 % (753536)------------------------------
% 8.38/1.75 % (753536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.75 % (753536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.75 % (753536)CaDiCaL version: 2.1.3
% 8.38/1.75 % (753536)Termination reason: Instruction limit
% 8.38/1.75 % (753536)Termination phase: Saturation
% 8.38/1.75 % (753536)Time elapsed: 0.063 s
% 8.38/1.75 % (753536)Peak memory usage: 12 MB
% 8.38/1.75 % (753536)Instructions burned: 149 (million)
% 8.38/1.75 % (753541)lrs+10_1_sil=128000:si=on:random_seed=2278059990:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/888Mi)
% 8.38/1.75 % (753541)Refutation not found, incomplete strategy
% 8.38/1.75 % (753541)------------------------------
% 8.38/1.75 % (753541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.75 % (753541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.75 % (753541)CaDiCaL version: 2.1.3
% 8.38/1.75 % (753541)Termination reason: Refutation not found, incomplete strategy
% 8.38/1.75 % (753541)Time elapsed: 0.001 s
% 8.38/1.75 % (753541)Peak memory usage: 11 MB
% 8.38/1.75 % (753541)------------------------------
% 8.38/1.75 % (753541)------------------------------
% 8.38/1.75 % (753542)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=2249455308:i=136:add=on:ins=4:rtra=on:sup=off_2989 on theBenchmark for (2989ds/136Mi)
% 8.38/1.75 % (753544)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=2585790342:i=88:s2at=3:nm=2:rtra=on:rawr=on_2989 on theBenchmark for (2989ds/88Mi)
% 8.38/1.75 % (753539)Instruction limit reached!
% 8.38/1.75 % (753539)------------------------------
% 8.38/1.75 % (753539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.38/1.75 % (753539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.38/1.75 % (753539)CaDiCaL version: 2.1.3
% 8.38/1.75 % (753539)Termination reason: Instruction limit
% 8.38/1.75 % (753539)Termination phase: Saturation
% 8.38/1.75 % (753539)Time elapsed: 0.063 s
% 8.38/1.75 % (753539)Peak memory usage: 12 MB
% 8.38/1.75 % (753539)Instructions burned: 164 (million)
% 8.38/1.75 % (753547)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3419578417:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2988 on theBenchmark for (2988ds/93Mi)
% 9.92/1.91 % (753544)Instruction limit reached!
% 9.92/1.91 % (753544)------------------------------
% 9.92/1.91 % (753544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.92/1.91 % (753544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.91 % (753544)CaDiCaL version: 2.1.3
% 9.92/1.91 % (753544)Termination reason: Instruction limit
% 9.92/1.91 % (753544)Termination phase: Saturation
% 9.92/1.91 % (753544)Time elapsed: 0.041 s
% 9.92/1.91 % (753544)Peak memory usage: 12 MB
% 9.92/1.91 % (753544)Instructions burned: 88 (million)
% 9.92/1.91 % (753542)Instruction limit reached!
% 9.92/1.91 % (753542)------------------------------
% 9.92/1.91 % (753542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.92/1.91 % (753542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.91 % (753542)CaDiCaL version: 2.1.3
% 9.92/1.91 % (753542)Termination reason: Instruction limit
% 9.92/1.91 % (753542)Termination phase: Saturation
% 9.92/1.91 % (753542)Time elapsed: 0.052 s
% 9.92/1.91 % (753542)Peak memory usage: 12 MB
% 9.92/1.91 % (753542)Instructions burned: 137 (million)
% 9.92/1.91 % (753518)Instruction limit reached!
% 9.92/1.91 % (753518)------------------------------
% 9.92/1.91 % (753518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.92/1.91 % (753518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.91 % (753518)CaDiCaL version: 2.1.3
% 9.92/1.91 % (753518)Termination reason: Instruction limit
% 9.92/1.91 % (753518)Termination phase: Saturation
% 9.92/1.91 % (753518)Time elapsed: 0.209 s
% 9.92/1.91 % (753518)Peak memory usage: 13 MB
% 9.92/1.91 % (753518)Instructions burned: 281 (million)
% 9.92/1.91 % (753550)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2121328648:s2a=on:i=240:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/240Mi)
% 9.92/1.91 % (753549)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2171618104:i=2186:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/2186Mi)
% 9.92/1.91 % (753547)Instruction limit reached!
% 9.92/1.91 % (753547)------------------------------
% 9.92/1.91 % (753547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.92/1.91 % (753547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.91 % (753547)CaDiCaL version: 2.1.3
% 9.92/1.91 % (753547)Termination reason: Instruction limit
% 9.92/1.91 % (753547)Termination phase: Saturation
% 9.92/1.91 % (753547)Time elapsed: 0.048 s
% 9.92/1.91 % (753547)Peak memory usage: 12 MB
% 9.92/1.91 % (753547)Instructions burned: 94 (million)
% 9.92/1.91 % (753551)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3196004586:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/805Mi)
% 9.92/1.91 % (753554)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 9.92/1.91 % (753554)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=947730496:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2988 on theBenchmark for (2988ds/391Mi)
% 9.92/1.91 % (753554)Refutation not found, incomplete strategy
% 9.92/1.91 % (753554)------------------------------
% 9.92/1.91 % (753554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.92/1.91 % (753554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/1.91 % (753554)CaDiCaL version: 2.1.3
% 9.92/1.91 % (753554)Termination reason: Refutation not found, incomplete strategy
% 9.92/1.91 % (753554)Time elapsed: 0.001 s
% 9.92/1.91 % (753554)Peak memory usage: 11 MB
% 9.92/1.91 % (753554)Instructions burned: 2 (million)
% 9.92/1.91 % (753554)------------------------------
% 9.92/1.91 % (753554)------------------------------
% 9.92/1.91 % (753557)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1017036549:i=355:av=off:fsr=off:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/355Mi)
% 9.92/1.91 % (753550)Instruction limit reached!
% 9.92/1.91 % (753550)------------------------------
% 9.92/1.91 % (753550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.91/2.10 % (753550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.10 % (753550)CaDiCaL version: 2.1.3
% 11.91/2.10 % (753550)Termination reason: Instruction limit
% 11.91/2.10 % (753550)Termination phase: Saturation
% 11.91/2.10 % (753550)Time elapsed: 0.095 s
% 11.91/2.10 % (753550)Peak memory usage: 13 MB
% 11.91/2.10 % (753550)Instructions burned: 242 (million)
% 11.91/2.10 % (753559)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2639560466:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/314Mi)
% 11.91/2.10 % (753559)Refutation not found, incomplete strategy
% 11.91/2.10 % (753559)------------------------------
% 11.91/2.10 % (753559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.91/2.10 % (753559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.10 % (753559)CaDiCaL version: 2.1.3
% 11.91/2.10 % (753559)Termination reason: Refutation not found, incomplete strategy
% 11.91/2.10 % (753559)Time elapsed: 0.001 s
% 11.91/2.10 % (753559)Peak memory usage: 11 MB
% 11.91/2.10 % (753559)------------------------------
% 11.91/2.10 % (753559)------------------------------
% 11.91/2.10 % (753561)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2729092016:s2a=on:i=251:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/251Mi)
% 11.91/2.10 % (753557)Instruction limit reached!
% 11.91/2.10 % (753557)------------------------------
% 11.91/2.10 % (753557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.91/2.10 % (753557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.10 % (753557)CaDiCaL version: 2.1.3
% 11.91/2.10 % (753557)Termination reason: Instruction limit
% 11.91/2.10 % (753557)Termination phase: Saturation
% 11.91/2.10 % (753520)Instruction limit reached!
% 11.91/2.10 % (753520)------------------------------
% 11.91/2.10 % (753520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.91/2.10 % (753520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.10 % (753520)CaDiCaL version: 2.1.3
% 11.91/2.10 % (753520)Termination reason: Instruction limit
% 11.91/2.10 % (753520)Termination phase: Saturation
% 11.91/2.10 % (753520)Time elapsed: 0.443 s
% 11.91/2.10 % (753520)Peak memory usage: 15 MB
% 11.91/2.10 % (753520)Instructions burned: 866 (million)
% 11.91/2.10 % (753557)Time elapsed: 0.164 s
% 11.91/2.10 % (753557)Peak memory usage: 12 MB
% 11.91/2.10 % (753557)Instructions burned: 356 (million)
% 11.91/2.10 % (753564)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=633336135:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2986 on theBenchmark for (2986ds/673Mi)
% 11.91/2.10 % (753563)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=526077159: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_2986 on theBenchmark for (2986ds/2470Mi)
% 11.91/2.10 % (753561)Instruction limit reached!
% 11.91/2.10 % (753561)------------------------------
% 11.91/2.10 % (753561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.91/2.10 % (753561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.10 % (753561)CaDiCaL version: 2.1.3
% 11.91/2.10 % (753561)Termination reason: Instruction limit
% 11.91/2.10 % (753561)Termination phase: Saturation
% 11.91/2.10 % (753561)Time elapsed: 0.114 s
% 11.91/2.10 % (753561)Peak memory usage: 12 MB
% 11.91/2.10 % (753561)Instructions burned: 251 (million)
% 11.91/2.10 % (753567)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2667942991:i=116:ep=RSTC:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/116Mi)
% 11.91/2.10 % (753567)Instruction limit reached!
% 11.91/2.10 % (753567)------------------------------
% 11.91/2.10 % (753567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.91/2.10 % (753567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.91/2.10 % (753567)CaDiCaL version: 2.1.3
% 11.91/2.10 % (753567)Termination reason: Instruction limit
% 11.91/2.10 % (753567)Termination phase: Saturation
% 11.91/2.10 % (753567)Time elapsed: 0.048 s
% 11.91/2.10 % (753567)Peak memory usage: 12 MB
% 11.91/2.10 % (753567)Instructions burned: 117 (million)
% 11.91/2.10 % (753569)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=682151417:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2985 on theBenchmark for (2985ds/270Mi)
% 12.72/2.26 % (753505)Instruction limit reached!
% 12.72/2.26 % (753505)------------------------------
% 12.72/2.26 % (753505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/2.26 % (753505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/2.26 % (753505)CaDiCaL version: 2.1.3
% 12.72/2.26 % (753505)Termination reason: Instruction limit
% 12.72/2.26 % (753505)Termination phase: Saturation
% 12.72/2.26 % (753505)Time elapsed: 0.661 s
% 12.72/2.26 % (753505)Peak memory usage: 13 MB
% 12.72/2.26 % (753505)Instructions burned: 1440 (million)
% 12.72/2.26 % (753571)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=790149157: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_2984 on theBenchmark for (2984ds/30Mi)
% 12.72/2.26 % (753571)Instruction limit reached!
% 12.72/2.26 % (753571)------------------------------
% 12.72/2.26 % (753571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/2.26 % (753571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/2.26 % (753571)CaDiCaL version: 2.1.3
% 12.72/2.26 % (753571)Termination reason: Instruction limit
% 12.72/2.26 % (753571)Termination phase: Saturation
% 12.72/2.26 % (753571)Time elapsed: 0.015 s
% 12.72/2.26 % (753571)Peak memory usage: 12 MB
% 12.72/2.26 % (753571)Instructions burned: 33 (million)
% 12.72/2.26 % (753573)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 12.72/2.26 % (753573)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1047516123:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2984 on theBenchmark for (2984ds/39Mi)
% 12.72/2.26 % (753551)Instruction limit reached!
% 12.72/2.26 % (753551)------------------------------
% 12.72/2.26 % (753551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/2.26 % (753551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/2.26 % (753551)CaDiCaL version: 2.1.3
% 12.72/2.26 % (753551)Termination reason: Instruction limit
% 12.72/2.26 % (753551)Termination phase: Saturation
% 12.72/2.26 % (753551)Time elapsed: 0.380 s
% 12.72/2.26 % (753551)Peak memory usage: 13 MB
% 12.72/2.26 % (753551)Instructions burned: 806 (million)
% 12.72/2.26 % (753573)Instruction limit reached!
% 12.72/2.26 % (753573)------------------------------
% 12.72/2.26 % (753573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/2.26 % (753573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/2.26 % (753573)CaDiCaL version: 2.1.3
% 12.72/2.26 % (753573)Termination reason: Instruction limit
% 12.72/2.26 % (753573)Termination phase: Saturation
% 12.72/2.26 % (753573)Time elapsed: 0.021 s
% 12.72/2.26 % (753573)Peak memory usage: 12 MB
% 12.72/2.26 % (753573)Instructions burned: 40 (million)
% 12.72/2.26 % (753575)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2265484639:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/365Mi)
% 12.72/2.26 % (753576)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=290552537:i=158:av=off:rtra=on_2984 on theBenchmark for (2984ds/158Mi)
% 12.72/2.26 % (753569)Instruction limit reached!
% 12.72/2.26 % (753569)------------------------------
% 12.72/2.26 % (753569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.72/2.26 % (753569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.72/2.26 % (753569)CaDiCaL version: 2.1.3
% 12.72/2.26 % (753569)Termination reason: Instruction limit
% 12.72/2.26 % (753569)Termination phase: Saturation
% 12.72/2.26 % (753569)Time elapsed: 0.116 s
% 12.72/2.26 % (753569)Peak memory usage: 12 MB
% 12.72/2.26 % (753569)Instructions burned: 272 (million)
% 12.72/2.26 % (753579)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 12.72/2.26 % (753579)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=2700365968:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/252Mi)
% 12.72/2.26 % (753564)Instruction limit reached!
% 13.32/2.37 % (753564)------------------------------
% 13.32/2.37 % (753564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/2.37 % (753564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.37 % (753564)CaDiCaL version: 2.1.3
% 13.32/2.37 % (753564)Termination reason: Instruction limit
% 13.32/2.37 % (753564)Termination phase: Saturation
% 13.32/2.37 % (753564)Time elapsed: 0.253 s
% 13.32/2.37 % (753564)Peak memory usage: 12 MB
% 13.32/2.37 % (753564)Instructions burned: 674 (million)
% 13.32/2.37 % (753576)Instruction limit reached!
% 13.32/2.37 % (753576)------------------------------
% 13.32/2.37 % (753576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/2.37 % (753576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.37 % (753576)CaDiCaL version: 2.1.3
% 13.32/2.37 % (753576)Termination reason: Instruction limit
% 13.32/2.37 % (753576)Termination phase: Saturation
% 13.32/2.37 % (753576)Time elapsed: 0.065 s
% 13.32/2.37 % (753576)Peak memory usage: 12 MB
% 13.32/2.37 % (753576)Instructions burned: 160 (million)
% 13.32/2.37 % (753581)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3632945475:i=213:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/213Mi)
% 13.32/2.37 % (753581)Refutation not found, incomplete strategy
% 13.32/2.37 % (753581)------------------------------
% 13.32/2.37 % (753581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/2.37 % (753581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.37 % (753581)CaDiCaL version: 2.1.3
% 13.32/2.37 % (753581)Termination reason: Refutation not found, incomplete strategy
% 13.32/2.37 % (753581)Time elapsed: 0.001 s
% 13.32/2.37 % (753581)Peak memory usage: 11 MB
% 13.32/2.37 % (753581)------------------------------
% 13.32/2.37 % (753581)------------------------------
% 13.32/2.37 % (753582)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=4214142256:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/160Mi)
% 13.32/2.37 % (753582)Refutation not found, incomplete strategy
% 13.32/2.37 % (753582)------------------------------
% 13.32/2.37 % (753582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/2.37 % (753582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.37 % (753582)CaDiCaL version: 2.1.3
% 13.32/2.37 % (753582)Termination reason: Refutation not found, incomplete strategy
% 13.32/2.37 % (753582)Time elapsed: 0.001 s
% 13.32/2.37 % (753582)Peak memory usage: 11 MB
% 13.32/2.37 % (753582)Instructions burned: 1 (million)
% 13.32/2.37 % (753582)------------------------------
% 13.32/2.37 % (753582)------------------------------
% 13.32/2.37 % (753584)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=3041656277:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/763Mi)
% 13.32/2.37 % (753586)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 13.32/2.37 % (753586)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=796714708:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2983 on theBenchmark for (2983ds/237Mi)
% 13.32/2.37 % (753586)Refutation not found, incomplete strategy
% 13.32/2.37 % (753586)------------------------------
% 13.32/2.37 % (753586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/2.37 % (753586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/2.37 % (753586)CaDiCaL version: 2.1.3
% 13.32/2.37 % (753586)Termination reason: Refutation not found, incomplete strategy
% 13.32/2.37 % (753586)Time elapsed: 0.0000 s
% 13.32/2.37 % (753586)Peak memory usage: 11 MB
% 13.32/2.37 % (753586)------------------------------
% 13.32/2.37 % (753586)------------------------------
% 13.32/2.37 % (753589)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2096296425:s2a=on:i=386:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/386Mi)
% 13.32/2.37 % (753579)Instruction limit reached!
% 13.32/2.37 % (753579)------------------------------
% 13.32/2.37 % (753579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/2.37 % (753579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/2.47 % (753579)CaDiCaL version: 2.1.3
% 13.92/2.47 % (753579)Termination reason: Instruction limit
% 13.92/2.47 % (753579)Termination phase: Saturation
% 13.92/2.47 % (753579)Time elapsed: 0.203 s
% 13.92/2.47 % (753579)Peak memory usage: 12 MB
% 13.92/2.47 % (753579)Instructions burned: 253 (million)
% 13.92/2.47 % (753575)Instruction limit reached!
% 13.92/2.47 % (753575)------------------------------
% 13.92/2.47 % (753575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.92/2.47 % (753575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/2.47 % (753575)CaDiCaL version: 2.1.3
% 13.92/2.47 % (753575)Termination reason: Instruction limit
% 13.92/2.47 % (753575)Termination phase: Saturation
% 13.92/2.47 % (753575)Time elapsed: 0.265 s
% 13.92/2.47 % (753575)Peak memory usage: 13 MB
% 13.92/2.47 % (753575)Instructions burned: 367 (million)
% 13.92/2.47 % (753592)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=440590161:i=300:piset=and:nm=32:rtra=on_2981 on theBenchmark for (2981ds/300Mi)
% 13.92/2.47 % (753593)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1901534909:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/567Mi)
% 13.92/2.47 % (753593)Refutation not found, incomplete strategy
% 13.92/2.47 % (753593)------------------------------
% 13.92/2.47 % (753593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.92/2.47 % (753593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/2.47 % (753593)CaDiCaL version: 2.1.3
% 13.92/2.47 % (753593)Termination reason: Refutation not found, incomplete strategy
% 13.92/2.47 % (753593)Time elapsed: 0.001 s
% 13.92/2.47 % (753593)Peak memory usage: 11 MB
% 13.92/2.47 % (753593)Instructions burned: 2 (million)
% 13.92/2.47 % (753593)------------------------------
% 13.92/2.47 % (753593)------------------------------
% 13.92/2.47 % (753596)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=3900339307:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2981 on theBenchmark for (2981ds/379Mi)
% 13.92/2.47 % (753596)Refutation not found, incomplete strategy
% 13.92/2.47 % (753596)------------------------------
% 13.92/2.47 % (753596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.92/2.47 % (753596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/2.47 % (753596)CaDiCaL version: 2.1.3
% 13.92/2.47 % (753596)Termination reason: Refutation not found, incomplete strategy
% 13.92/2.47 % (753596)Time elapsed: 0.001 s
% 13.92/2.47 % (753596)Peak memory usage: 11 MB
% 13.92/2.47 % (753596)------------------------------
% 13.92/2.47 % (753596)------------------------------
% 13.92/2.47 % (753589)Instruction limit reached!
% 13.92/2.47 % (753589)------------------------------
% 13.92/2.47 % (753589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.92/2.47 % (753589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/2.47 % (753589)CaDiCaL version: 2.1.3
% 13.92/2.47 % (753589)Termination reason: Instruction limit
% 13.92/2.47 % (753589)Termination phase: Saturation
% 13.92/2.47 % (753589)Time elapsed: 0.181 s
% 13.92/2.47 % (753589)Peak memory usage: 12 MB
% 13.92/2.47 % (753589)Instructions burned: 387 (million)
% 13.92/2.47 % (753598)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=648431891:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2981 on theBenchmark for (2981ds/429Mi)
% 13.92/2.47 % (753599)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=1862530212:i=478:bd=all:rtra=on_2980 on theBenchmark for (2980ds/478Mi)
% 13.92/2.47 % (753599)Refutation not found, incomplete strategy
% 13.92/2.47 % (753599)------------------------------
% 13.92/2.47 % (753599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.92/2.47 % (753599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.92/2.47 % (753599)CaDiCaL version: 2.1.3
% 13.92/2.47 % (753599)Termination reason: Refutation not found, incomplete strategy
% 13.92/2.47 % (753599)Time elapsed: 0.001 s
% 13.92/2.47 % (753599)Peak memory usage: 12 MB
% 13.92/2.47 % (753599)Instructions burned: 1 (million)
% 13.92/2.47 % (753599)------------------------------
% 13.92/2.47 % (753599)------------------------------
% 13.92/2.47 % (753602)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3410919806:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2980 on theBenchmark for (2980ds/445Mi)
% 13.92/2.47 % (753592)Instruction limit reached!
% 13.92/2.47 % (753592)------------------------------
% 14.67/2.57 % (753592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.57 % (753592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.57 % (753592)CaDiCaL version: 2.1.3
% 14.67/2.57 % (753592)Termination reason: Instruction limit
% 14.67/2.57 % (753592)Termination phase: Saturation
% 14.67/2.57 % (753592)Time elapsed: 0.137 s
% 14.67/2.57 % (753592)Peak memory usage: 12 MB
% 14.67/2.57 % (753592)Instructions burned: 300 (million)
% 14.67/2.57 % (753604)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1961293005:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2979 on theBenchmark for (2979ds/71Mi)
% 14.67/2.57 % (753584)Instruction limit reached!
% 14.67/2.57 % (753584)------------------------------
% 14.67/2.57 % (753584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.57 % (753584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.57 % (753584)CaDiCaL version: 2.1.3
% 14.67/2.57 % (753584)Termination reason: Instruction limit
% 14.67/2.57 % (753584)Termination phase: Saturation
% 14.67/2.57 % (753584)Time elapsed: 0.336 s
% 14.67/2.57 % (753584)Peak memory usage: 13 MB
% 14.67/2.57 % (753584)Instructions burned: 764 (million)
% 14.67/2.57 % (753606)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2380644900:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/302Mi)
% 14.67/2.57 % (753606)Refutation not found, incomplete strategy
% 14.67/2.57 % (753606)------------------------------
% 14.67/2.57 % (753606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.57 % (753606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.57 % (753606)CaDiCaL version: 2.1.3
% 14.67/2.57 % (753606)Termination reason: Refutation not found, incomplete strategy
% 14.67/2.57 % (753606)Time elapsed: 0.005 s
% 14.67/2.57 % (753606)Peak memory usage: 11 MB
% 14.67/2.57 % (753606)------------------------------
% 14.67/2.57 % (753606)------------------------------
% 14.67/2.57 % (753604)Instruction limit reached!
% 14.67/2.57 % (753604)------------------------------
% 14.67/2.57 % (753604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.57 % (753604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.57 % (753604)CaDiCaL version: 2.1.3
% 14.67/2.57 % (753604)Termination reason: Instruction limit
% 14.67/2.57 % (753604)Termination phase: Saturation
% 14.67/2.57 % (753604)Time elapsed: 0.061 s
% 14.67/2.57 % (753604)Peak memory usage: 12 MB
% 14.67/2.57 % (753604)Instructions burned: 71 (million)
% 14.67/2.57 % (753610)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 14.67/2.57 % (753610)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 14.67/2.57 % (753610)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1079121312:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2979 on theBenchmark for (2979ds/100Mi)
% 14.67/2.57 % (753598)Instruction limit reached!
% 14.67/2.57 % (753598)------------------------------
% 14.67/2.57 % (753598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.57 % (753598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.57 % (753598)CaDiCaL version: 2.1.3
% 14.67/2.57 % (753598)Termination reason: Instruction limit
% 14.67/2.57 % (753598)Termination phase: Saturation
% 14.67/2.57 % (753598)Time elapsed: 0.198 s
% 14.67/2.57 % (753598)Peak memory usage: 12 MB
% 14.67/2.57 % (753598)Instructions burned: 430 (million)
% 14.67/2.57 % (753609)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=409247568:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/4980Mi)
% 14.67/2.57 % (753609)Refutation not found, incomplete strategy
% 14.67/2.57 % (753609)------------------------------
% 14.67/2.57 % (753609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.67/2.57 % (753609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.67/2.57 % (753609)CaDiCaL version: 2.1.3
% 14.67/2.57 % (753609)Termination reason: Refutation not found, incomplete strategy
% 14.67/2.57 % (753609)Time elapsed: 0.001 s
% 14.67/2.57 % (753609)Peak memory usage: 11 MB
% 15.63/2.72 % (753609)------------------------------
% 15.63/2.72 % (753609)------------------------------
% 15.63/2.72 % (753612)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=1933423051:i=76:piset=equals:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/76Mi)
% 15.63/2.72 % (753614)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=584954681:i=289:rtra=on_2978 on theBenchmark for (2978ds/289Mi)
% 15.63/2.72 % (753610)Instruction limit reached!
% 15.63/2.72 % (753610)------------------------------
% 15.63/2.72 % (753610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.63/2.72 % (753610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/2.72 % (753610)CaDiCaL version: 2.1.3
% 15.63/2.72 % (753610)Termination reason: Instruction limit
% 15.63/2.72 % (753610)Termination phase: Saturation
% 15.63/2.72 % (753610)Time elapsed: 0.048 s
% 15.63/2.72 % (753610)Peak memory usage: 12 MB
% 15.63/2.72 % (753610)Instructions burned: 102 (million)
% 15.63/2.72 % (753614)Refutation not found, incomplete strategy
% 15.63/2.72 % (753614)------------------------------
% 15.63/2.72 % (753614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.63/2.72 % (753614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/2.72 % (753614)CaDiCaL version: 2.1.3
% 15.63/2.72 % (753614)Termination reason: Refutation not found, incomplete strategy
% 15.63/2.72 % (753614)Time elapsed: 0.001 s
% 15.63/2.72 % (753614)Peak memory usage: 11 MB
% 15.63/2.72 % (753614)Instructions burned: 1 (million)
% 15.63/2.72 % (753614)------------------------------
% 15.63/2.72 % (753614)------------------------------
% 15.63/2.72 % (753617)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=393150988:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2978 on theBenchmark for (2978ds/493Mi)
% 15.63/2.72 % (753612)Instruction limit reached!
% 15.63/2.72 % (753612)------------------------------
% 15.63/2.72 % (753612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.63/2.72 % (753612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/2.72 % (753612)CaDiCaL version: 2.1.3
% 15.63/2.72 % (753612)Termination reason: Instruction limit
% 15.63/2.72 % (753612)Termination phase: Saturation
% 15.63/2.72 % (753612)Time elapsed: 0.047 s
% 15.63/2.72 % (753612)Peak memory usage: 12 MB
% 15.63/2.72 % (753612)Instructions burned: 76 (million)
% 15.63/2.72 % (753602)Instruction limit reached!
% 15.63/2.72 % (753602)------------------------------
% 15.63/2.72 % (753602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.63/2.72 % (753602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/2.72 % (753602)CaDiCaL version: 2.1.3
% 15.63/2.72 % (753602)Termination reason: Instruction limit
% 15.63/2.72 % (753602)Termination phase: Saturation
% 15.63/2.72 % (753602)Time elapsed: 0.244 s
% 15.63/2.72 % (753602)Peak memory usage: 14 MB
% 15.63/2.72 % (753602)Instructions burned: 446 (million)
% 15.63/2.72 % (753618)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=2720648835:cond=on:i=34:hud=10:nm=10:rtra=on_2978 on theBenchmark for (2978ds/34Mi)
% 15.63/2.72 % (753620)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 15.63/2.72 % (753620)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=263605071:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2978 on theBenchmark for (2978ds/372Mi)
% 15.63/2.72 % (753620)Refutation not found, incomplete strategy
% 15.63/2.72 % (753620)------------------------------
% 15.63/2.72 % (753620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.63/2.72 % (753620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.63/2.72 % (753620)CaDiCaL version: 2.1.3
% 15.63/2.72 % (753620)Termination reason: Refutation not found, incomplete strategy
% 15.63/2.72 % (753620)Time elapsed: 0.002 s
% 15.63/2.72 % (753620)Peak memory usage: 11 MB
% 15.63/2.72 % (753620)Instructions burned: 3 (million)
% 15.63/2.72 % (753620)------------------------------
% 15.63/2.72 % (753620)------------------------------
% 15.63/2.72 % (753621)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2928843829:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2978 on theBenchmark for (2978ds/670Mi)
% 16.17/2.83 % (753549)Instruction limit reached!
% 16.17/2.83 % (753549)------------------------------
% 16.17/2.83 % (753549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.83 % (753549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.83 % (753549)CaDiCaL version: 2.1.3
% 16.17/2.83 % (753549)Termination reason: Instruction limit
% 16.17/2.83 % (753549)Termination phase: Saturation
% 16.17/2.83 % (753549)Time elapsed: 1.051 s
% 16.17/2.83 % (753549)Peak memory usage: 13 MB
% 16.17/2.83 % (753549)Instructions burned: 2187 (million)
% 16.17/2.83 % (753618)Instruction limit reached!
% 16.17/2.83 % (753618)------------------------------
% 16.17/2.83 % (753618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.83 % (753618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.83 % (753618)CaDiCaL version: 2.1.3
% 16.17/2.83 % (753618)Termination reason: Instruction limit
% 16.17/2.83 % (753618)Termination phase: Saturation
% 16.17/2.83 % (753618)Time elapsed: 0.022 s
% 16.17/2.83 % (753618)Peak memory usage: 12 MB
% 16.17/2.83 % (753618)Instructions burned: 34 (million)
% 16.17/2.83 % (753624)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=25101496:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/647Mi)
% 16.17/2.83 % (753624)Refutation not found, incomplete strategy
% 16.17/2.83 % (753624)------------------------------
% 16.17/2.83 % (753624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.83 % (753624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.83 % (753624)CaDiCaL version: 2.1.3
% 16.17/2.83 % (753624)Termination reason: Refutation not found, incomplete strategy
% 16.17/2.83 % (753624)Time elapsed: 0.001 s
% 16.17/2.83 % (753624)Peak memory usage: 11 MB
% 16.17/2.83 % (753624)------------------------------
% 16.17/2.83 % (753624)------------------------------
% 16.17/2.83 % (753626)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=3453435386:i=857:add=off:kws=frequency:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/857Mi)
% 16.17/2.83 % (753627)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=2541488479:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2977 on theBenchmark for (2977ds/693Mi)
% 16.17/2.83 % (753629)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=509561118:i=285:hud=10:bd=all:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/285Mi)
% 16.17/2.83 % (753629)Refutation not found, incomplete strategy
% 16.17/2.83 % (753629)------------------------------
% 16.17/2.83 % (753629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.83 % (753629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.83 % (753629)CaDiCaL version: 2.1.3
% 16.17/2.83 % (753629)Termination reason: Refutation not found, incomplete strategy
% 16.17/2.83 % (753629)Time elapsed: 0.001 s
% 16.17/2.83 % (753629)Peak memory usage: 11 MB
% 16.17/2.83 % (753629)Instructions burned: 1 (million)
% 16.17/2.83 % (753629)------------------------------
% 16.17/2.83 % (753629)------------------------------
% 16.17/2.83 % (753633)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 16.17/2.83 % (753633)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=2439670375:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2977 on theBenchmark for (2977ds/52Mi)
% 16.17/2.83 % (753633)Instruction limit reached!
% 16.17/2.83 % (753633)------------------------------
% 16.17/2.83 % (753633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.17/2.83 % (753633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.17/2.83 % (753633)CaDiCaL version: 2.1.3
% 16.17/2.83 % (753633)Termination reason: Instruction limit
% 16.17/2.83 % (753633)Termination phase: Saturation
% 16.17/2.83 % (753633)Time elapsed: 0.020 s
% 16.17/2.83 % (753633)Peak memory usage: 12 MB
% 16.17/2.83 % (753633)Instructions burned: 52 (million)
% 16.17/2.83 % (753635)dis+10_1_si=on:random_seed=507738827:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2977 on theBenchmark for (2977ds/407Mi)
% 18.57/3.06 % (753635)Refutation not found, incomplete strategy
% 18.57/3.06 % (753635)------------------------------
% 18.57/3.06 % (753635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.57/3.06 % (753635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.06 % (753635)CaDiCaL version: 2.1.3
% 18.57/3.06 % (753635)Termination reason: Refutation not found, incomplete strategy
% 18.57/3.06 % (753635)Time elapsed: 0.001 s
% 18.57/3.06 % (753635)Peak memory usage: 11 MB
% 18.57/3.06 % (753635)------------------------------
% 18.57/3.06 % (753635)------------------------------
% 18.57/3.06 % (753637)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=4195440445:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/2240Mi)
% 18.57/3.06 % (753617)Instruction limit reached!
% 18.57/3.06 % (753617)------------------------------
% 18.57/3.06 % (753617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.57/3.06 % (753617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.06 % (753617)CaDiCaL version: 2.1.3
% 18.57/3.06 % (753617)Termination reason: Instruction limit
% 18.57/3.06 % (753617)Termination phase: Saturation
% 18.57/3.06 % (753617)Time elapsed: 0.214 s
% 18.57/3.06 % (753617)Peak memory usage: 13 MB
% 18.57/3.06 % (753617)Instructions burned: 494 (million)
% 18.57/3.06 % (753627)Instruction limit reached!
% 18.57/3.06 % (753627)------------------------------
% 18.57/3.06 % (753627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.57/3.06 % (753627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.06 % (753627)CaDiCaL version: 2.1.3
% 18.57/3.06 % (753627)Termination reason: Instruction limit
% 18.57/3.06 % (753627)Termination phase: Saturation
% 18.57/3.06 % (753627)Time elapsed: 0.163 s
% 18.57/3.06 % (753627)Peak memory usage: 12 MB
% 18.57/3.06 % (753627)Instructions burned: 698 (million)
% 18.57/3.06 % (753640)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=444110668:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2975 on theBenchmark for (2975ds/1142Mi)
% 18.57/3.06 % (753639)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3081078136:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/336Mi)
% 18.57/3.06 % (753639)Refutation not found, incomplete strategy
% 18.57/3.06 % (753639)------------------------------
% 18.57/3.06 % (753639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.57/3.06 % (753639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.06 % (753639)CaDiCaL version: 2.1.3
% 18.57/3.06 % (753639)Termination reason: Refutation not found, incomplete strategy
% 18.57/3.06 % (753639)Time elapsed: 0.0000 s
% 18.57/3.06 % (753639)Peak memory usage: 11 MB
% 18.57/3.06 % (753639)------------------------------
% 18.57/3.06 % (753639)------------------------------
% 18.57/3.06 % (753643)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=466621708:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/376Mi)
% 18.57/3.06 % (753643)Refutation not found, incomplete strategy
% 18.57/3.06 % (753643)------------------------------
% 18.57/3.06 % (753643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.57/3.06 % (753643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.06 % (753643)CaDiCaL version: 2.1.3
% 18.57/3.06 % (753643)Termination reason: Refutation not found, incomplete strategy
% 18.57/3.06 % (753643)Time elapsed: 0.001 s
% 18.57/3.06 % (753643)Peak memory usage: 11 MB
% 18.57/3.06 % (753643)------------------------------
% 18.57/3.06 % (753643)------------------------------
% 18.57/3.06 % (753645)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3203924790:i=766:bd=all:rtra=on_2975 on theBenchmark for (2975ds/766Mi)
% 18.57/3.06 % (753621)Instruction limit reached!
% 18.57/3.06 % (753621)------------------------------
% 18.57/3.06 % (753621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.57/3.06 % (753621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.57/3.06 % (753621)CaDiCaL version: 2.1.3
% 18.57/3.06 % (753621)Termination reason: Instruction limit
% 18.57/3.06 % (753621)Termination phase: Saturation
% 18.57/3.06 % (753621)Time elapsed: 0.250 s
% 19.78/3.21 % (753621)Peak memory usage: 12 MB
% 19.78/3.21 % (753621)Instructions burned: 672 (million)
% 19.78/3.21 % (753645)Refutation not found, incomplete strategy
% 19.78/3.21 % (753645)------------------------------
% 19.78/3.21 % (753645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.21 % (753645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.21 % (753645)CaDiCaL version: 2.1.3
% 19.78/3.21 % (753645)Termination reason: Refutation not found, incomplete strategy
% 19.78/3.21 % (753645)Time elapsed: 0.001 s
% 19.78/3.21 % (753645)Peak memory usage: 12 MB
% 19.78/3.21 % (753645)Instructions burned: 1 (million)
% 19.78/3.21 % (753645)------------------------------
% 19.78/3.21 % (753645)------------------------------
% 19.78/3.21 % (753647)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 19.78/3.21 % (753647)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3891128433: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_2975 on theBenchmark for (2975ds/959Mi)
% 19.78/3.21 % (753648)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=1645531687:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2975 on theBenchmark for (2975ds/6359Mi)
% 19.78/3.21 % (753647)Refutation not found, incomplete strategy
% 19.78/3.21 % (753647)------------------------------
% 19.78/3.21 % (753647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.21 % (753647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.21 % (753647)CaDiCaL version: 2.1.3
% 19.78/3.21 % (753647)Termination reason: Refutation not found, incomplete strategy
% 19.78/3.21 % (753647)Time elapsed: 0.001 s
% 19.78/3.21 % (753647)Peak memory usage: 11 MB
% 19.78/3.21 % (753647)------------------------------
% 19.78/3.21 % (753647)------------------------------
% 19.78/3.21 % (753651)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2607488463:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2975 on theBenchmark for (2975ds/35Mi)
% 19.78/3.21 % (753651)Refutation not found, incomplete strategy
% 19.78/3.21 % (753651)------------------------------
% 19.78/3.21 % (753651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.21 % (753651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.21 % (753651)CaDiCaL version: 2.1.3
% 19.78/3.21 % (753651)Termination reason: Refutation not found, incomplete strategy
% 19.78/3.21 % (753651)Time elapsed: 0.0000 s
% 19.78/3.21 % (753651)Peak memory usage: 11 MB
% 19.78/3.21 % (753651)------------------------------
% 19.78/3.21 % (753651)------------------------------
% 19.78/3.21 % (753653)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=559176737:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2974 on theBenchmark for (2974ds/53Mi)
% 19.78/3.21 % (753653)Instruction limit reached!
% 19.78/3.21 % (753653)------------------------------
% 19.78/3.21 % (753653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.21 % (753653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.21 % (753653)CaDiCaL version: 2.1.3
% 19.78/3.21 % (753653)Termination reason: Instruction limit
% 19.78/3.21 % (753653)Termination phase: Saturation
% 19.78/3.21 % (753653)Time elapsed: 0.029 s
% 19.78/3.21 % (753653)Peak memory usage: 12 MB
% 19.78/3.21 % (753653)Instructions burned: 54 (million)
% 19.78/3.21 % (753626)Instruction limit reached!
% 19.78/3.21 % (753626)------------------------------
% 19.78/3.21 % (753626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.21 % (753626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.21 % (753626)CaDiCaL version: 2.1.3
% 19.78/3.21 % (753626)Termination reason: Instruction limit
% 19.78/3.21 % (753626)Termination phase: Saturation
% 19.78/3.21 % (753626)Time elapsed: 0.325 s
% 19.78/3.21 % (753626)Peak memory usage: 12 MB
% 19.78/3.21 % (753626)Instructions burned: 859 (million)
% 19.78/3.21 % (753655)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=598408912:s2a=on:i=876:s2at=6:nm=2:rtra=on_2974 on theBenchmark for (2974ds/876Mi)
% 19.78/3.21 % (753656)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=447392504:i=57:ep=R:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/57Mi)
% 19.78/3.29 % (753656)Instruction limit reached!
% 19.78/3.29 % (753656)------------------------------
% 19.78/3.29 % (753656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.29 % (753656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.29 % (753656)CaDiCaL version: 2.1.3
% 19.78/3.29 % (753656)Termination reason: Instruction limit
% 19.78/3.29 % (753656)Termination phase: Saturation
% 19.78/3.29 % (753656)Time elapsed: 0.028 s
% 19.78/3.29 % (753656)Peak memory usage: 12 MB
% 19.78/3.29 % (753656)Instructions burned: 59 (million)
% 19.78/3.29 % (753659)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 19.78/3.29 % (753659)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=839730876:i=306:bd=all:rtra=on_2973 on theBenchmark for (2973ds/306Mi)
% 19.78/3.29 % (753659)Refutation not found, incomplete strategy
% 19.78/3.29 % (753659)------------------------------
% 19.78/3.29 % (753659)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.29 % (753659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.29 % (753659)CaDiCaL version: 2.1.3
% 19.78/3.29 % (753659)Termination reason: Refutation not found, incomplete strategy
% 19.78/3.29 % (753659)Time elapsed: 0.001 s
% 19.78/3.29 % (753659)Peak memory usage: 11 MB
% 19.78/3.29 % (753659)Instructions burned: 1 (million)
% 19.78/3.29 % (753659)------------------------------
% 19.78/3.29 % (753659)------------------------------
% 19.78/3.29 % (753661)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1699586264:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/262Mi)
% 19.78/3.29 % (753661)Refutation not found, incomplete strategy
% 19.78/3.29 % (753661)------------------------------
% 19.78/3.29 % (753661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.29 % (753661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.29 % (753661)CaDiCaL version: 2.1.3
% 19.78/3.29 % (753661)Termination reason: Refutation not found, incomplete strategy
% 19.78/3.29 % (753661)Time elapsed: 0.001 s
% 19.78/3.29 % (753661)Peak memory usage: 11 MB
% 19.78/3.29 % (753661)------------------------------
% 19.78/3.29 % (753661)------------------------------
% 19.78/3.29 % (753640)Instruction limit reached!
% 19.78/3.29 % (753640)------------------------------
% 19.78/3.29 % (753640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.29 % (753640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.29 % (753640)CaDiCaL version: 2.1.3
% 19.78/3.29 % (753640)Termination reason: Instruction limit
% 19.78/3.29 % (753640)Termination phase: Saturation
% 19.78/3.29 % (753640)Time elapsed: 0.241 s
% 19.78/3.29 % (753640)Peak memory usage: 14 MB
% 19.78/3.29 % (753640)Instructions burned: 1146 (million)
% 19.78/3.29 % (753663)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 19.78/3.29 % (753664)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3757662740:s2a=on:i=381:rtra=on_2973 on theBenchmark for (2973ds/381Mi)
% 19.78/3.29 % (753663)ott+1002_16_sil=128000:si=on:random_seed=291471736:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2973 on theBenchmark for (2973ds/409Mi)
% 19.78/3.29 % (753664)Instruction limit reached!
% 19.78/3.29 % (753664)------------------------------
% 19.78/3.29 % (753664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.29 % (753664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.78/3.29 % (753664)CaDiCaL version: 2.1.3
% 19.78/3.29 % (753664)Termination reason: Instruction limit
% 19.78/3.29 % (753664)Termination phase: Saturation
% 19.78/3.29 % (753664)Time elapsed: 0.087 s
% 19.78/3.29 % (753664)Peak memory usage: 12 MB
% 19.78/3.29 % (753664)Instructions burned: 386 (million)
% 19.78/3.29 % (753667)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1069583341:cond=on:i=324:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/324Mi)
% 19.78/3.29 % (753663)Instruction limit reached!
% 19.78/3.29 % (753663)------------------------------
% 19.78/3.29 % (753663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.78/3.29 % (753663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.25/3.52 % (753663)CaDiCaL version: 2.1.3
% 21.25/3.52 % (753663)Termination reason: Instruction limit
% 21.25/3.52 % (753663)Termination phase: Saturation
% 21.25/3.52 % (753663)Time elapsed: 0.142 s
% 21.25/3.52 % (753663)Peak memory usage: 12 MB
% 21.25/3.52 % (753663)Instructions burned: 411 (million)
% 21.25/3.52 % (753667)Instruction limit reached!
% 21.25/3.52 % (753667)------------------------------
% 21.25/3.52 % (753667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.25/3.52 % (753667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.25/3.52 % (753667)CaDiCaL version: 2.1.3
% 21.25/3.52 % (753667)Termination reason: Instruction limit
% 21.25/3.52 % (753667)Termination phase: Saturation
% 21.25/3.52 % (753667)Time elapsed: 0.060 s
% 21.25/3.52 % (753667)Peak memory usage: 12 MB
% 21.25/3.52 % (753667)Instructions burned: 329 (million)
% 21.25/3.52 % (753669)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=3872759383:i=240:kws=inv_precedence:rtra=on_2971 on theBenchmark for (2971ds/240Mi)
% 21.25/3.52 % (753669)Refutation not found, incomplete strategy
% 21.25/3.52 % (753669)------------------------------
% 21.25/3.52 % (753669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.25/3.52 % (753669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.25/3.52 % (753669)CaDiCaL version: 2.1.3
% 21.25/3.52 % (753669)Termination reason: Refutation not found, incomplete strategy
% 21.25/3.52 % (753669)Time elapsed: 0.001 s
% 21.25/3.52 % (753669)Peak memory usage: 11 MB
% 21.25/3.52 % (753669)Instructions burned: 1 (million)
% 21.25/3.52 % (753669)------------------------------
% 21.25/3.52 % (753669)------------------------------
% 21.25/3.52 % (753670)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 21.25/3.52 % (753670)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3051146738:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/124Mi)
% 21.25/3.52 % (753672)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1232619083:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2971 on theBenchmark for (2971ds/223Mi)
% 21.25/3.52 % (753670)Instruction limit reached!
% 21.25/3.52 % (753670)------------------------------
% 21.25/3.52 % (753670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.25/3.52 % (753670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.25/3.52 % (753670)CaDiCaL version: 2.1.3
% 21.25/3.52 % (753670)Termination reason: Instruction limit
% 21.25/3.52 % (753670)Termination phase: Saturation
% 21.25/3.52 % (753670)Time elapsed: 0.026 s
% 21.25/3.52 % (753670)Peak memory usage: 12 MB
% 21.25/3.52 % (753670)Instructions burned: 127 (million)
% 21.25/3.52 % (753675)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1397283067:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2971 on theBenchmark for (2971ds/282Mi)
% 21.25/3.52 % (753672)Instruction limit reached!
% 21.25/3.52 % (753672)------------------------------
% 21.25/3.52 % (753672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.25/3.52 % (753672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.25/3.52 % (753672)CaDiCaL version: 2.1.3
% 21.25/3.52 % (753672)Termination reason: Instruction limit
% 21.25/3.52 % (753672)Termination phase: Saturation
% 21.25/3.52 % (753672)Time elapsed: 0.079 s
% 21.25/3.52 % (753672)Peak memory usage: 12 MB
% 21.25/3.52 % (753672)Instructions burned: 223 (million)
% 21.25/3.52 % (753675)Instruction limit reached!
% 21.25/3.52 % (753675)------------------------------
% 21.25/3.52 % (753675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.25/3.52 % (753675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.25/3.52 % (753675)CaDiCaL version: 2.1.3
% 21.25/3.52 % (753675)Termination reason: Instruction limit
% 21.25/3.52 % (753675)Termination phase: Saturation
% 21.25/3.52 % (753675)Time elapsed: 0.069 s
% 21.25/3.52 % (753675)Peak memory usage: 12 MB
% 21.25/3.52 % (753675)Instructions burned: 285 (million)
% 21.25/3.52 % (753677)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=2367483816:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2970 on theBenchmark for (2970ds/464Mi)
% 21.25/3.52 % (753677)Refutation not found, incomplete strategy
% 21.25/3.52 % (753677)------------------------------
% 21.25/3.52 % (753677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.25/3.52 % (753677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/3.69 % (753677)CaDiCaL version: 2.1.3
% 21.70/3.69 % (753677)Termination reason: Refutation not found, incomplete strategy
% 21.70/3.69 % (753677)Time elapsed: 0.001 s
% 21.70/3.69 % (753677)Peak memory usage: 11 MB
% 21.70/3.69 % (753677)Instructions burned: 1 (million)
% 21.70/3.69 % (753677)------------------------------
% 21.70/3.69 % (753677)------------------------------
% 21.70/3.69 % (753678)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=1660280714:i=88:s2at=3:nm=2:rtra=on:rawr=on_2970 on theBenchmark for (2970ds/88Mi)
% 21.70/3.69 % (753655)Instruction limit reached!
% 21.70/3.69 % (753655)------------------------------
% 21.70/3.69 % (753655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.70/3.69 % (753655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/3.69 % (753655)CaDiCaL version: 2.1.3
% 21.70/3.69 % (753655)Termination reason: Instruction limit
% 21.70/3.69 % (753655)Termination phase: Saturation
% 21.70/3.69 % (753655)Time elapsed: 0.384 s
% 21.70/3.69 % (753655)Peak memory usage: 13 MB
% 21.70/3.69 % (753655)Instructions burned: 878 (million)
% 21.70/3.69 % (753681)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=735011902:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2970 on theBenchmark for (2970ds/280Mi)
% 21.70/3.69 % (753682)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 21.70/3.69 % (753678)Instruction limit reached!
% 21.70/3.69 % (753678)------------------------------
% 21.70/3.69 % (753678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.70/3.69 % (753678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/3.69 % (753678)CaDiCaL version: 2.1.3
% 21.70/3.69 % (753678)Termination reason: Instruction limit
% 21.70/3.69 % (753678)Termination phase: Saturation
% 21.70/3.69 % (753678)Time elapsed: 0.021 s
% 21.70/3.69 % (753678)Peak memory usage: 12 MB
% 21.70/3.69 % (753678)Instructions burned: 89 (million)
% 21.70/3.69 % (753682)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2872463304:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/4386Mi)
% 21.70/3.69 % (753684)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 21.70/3.69 % (753684)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 21.70/3.69 % (753684)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=3572492682:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2970 on theBenchmark for (2970ds/483Mi)
% 21.70/3.69 % (753684)Refutation not found, incomplete strategy
% 21.70/3.69 % (753684)------------------------------
% 21.70/3.69 % (753684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.70/3.69 % (753684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/3.69 % (753684)CaDiCaL version: 2.1.3
% 21.70/3.69 % (753684)Termination reason: Refutation not found, incomplete strategy
% 21.70/3.69 % (753684)Time elapsed: 0.0000 s
% 21.70/3.69 % (753684)Peak memory usage: 12 MB
% 21.70/3.69 % (753684)------------------------------
% 21.70/3.69 % (753684)------------------------------
% 21.70/3.69 % (753687)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=4055324037:i=73:rtra=on_2970 on theBenchmark for (2970ds/73Mi)
% 21.70/3.69 % (753687)Refutation not found, incomplete strategy
% 21.70/3.69 % (753687)------------------------------
% 21.70/3.69 % (753687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.70/3.69 % (753687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.70/3.69 % (753687)CaDiCaL version: 2.1.3
% 21.70/3.69 % (753687)Termination reason: Refutation not found, incomplete strategy
% 21.70/3.69 % (753687)Time elapsed: 0.002 s
% 21.70/3.69 % (753687)Peak memory usage: 12 MB
% 21.70/3.69 % (753687)Instructions burned: 1 (million)
% 21.70/3.69 % (753687)------------------------------
% 21.70/3.69 % (753687)------------------------------
% 21.70/3.69 % (753689)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4114944334:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2969 on theBenchmark for (2969ds/176Mi)
% 23.11/3.88 % (753563)Instruction limit reached!
% 23.11/3.88 % (753563)------------------------------
% 23.11/3.88 % (753563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.11/3.88 % (753563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.11/3.88 % (753563)CaDiCaL version: 2.1.3
% 23.11/3.88 % (753563)Termination reason: Instruction limit
% 23.11/3.88 % (753563)Termination phase: Saturation
% 23.11/3.88 % (753563)Time elapsed: 1.653 s
% 23.11/3.88 % (753563)Peak memory usage: 15 MB
% 23.11/3.88 % (753563)Instructions burned: 2470 (million)
% 23.11/3.88 % (753691)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 23.11/3.88 % (753689)Instruction limit reached!
% 23.11/3.88 % (753689)------------------------------
% 23.11/3.88 % (753689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.11/3.88 % (753689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.11/3.88 % (753689)CaDiCaL version: 2.1.3
% 23.11/3.88 % (753689)Termination reason: Instruction limit
% 23.11/3.88 % (753689)Termination phase: Saturation
% 23.11/3.88 % (753691)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=680564752:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2969 on theBenchmark for (2969ds/39Mi)
% 23.11/3.88 % (753689)Time elapsed: 0.043 s
% 23.11/3.88 % (753689)Peak memory usage: 12 MB
% 23.11/3.88 % (753689)Instructions burned: 180 (million)
% 23.11/3.88 % (753693)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=52574012:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2969 on theBenchmark for (2969ds/708Mi)
% 23.11/3.88 % (753691)Instruction limit reached!
% 23.11/3.88 % (753691)------------------------------
% 23.11/3.88 % (753691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.11/3.88 % (753691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.11/3.88 % (753691)CaDiCaL version: 2.1.3
% 23.11/3.88 % (753691)Termination reason: Instruction limit
% 23.11/3.88 % (753691)Termination phase: Saturation
% 23.11/3.88 % (753691)Time elapsed: 0.034 s
% 23.11/3.88 % (753691)Peak memory usage: 12 MB
% 23.11/3.88 % (753691)Instructions burned: 40 (million)
% 23.11/3.88 % (753695)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 23.11/3.88 % (753681)Instruction limit reached!
% 23.11/3.88 % (753681)------------------------------
% 23.11/3.88 % (753681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.11/3.88 % (753681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.11/3.88 % (753681)CaDiCaL version: 2.1.3
% 23.11/3.88 % (753681)Termination reason: Instruction limit
% 23.11/3.88 % (753681)Termination phase: Saturation
% 23.11/3.88 % (753681)Time elapsed: 0.173 s
% 23.11/3.88 % (753681)Peak memory usage: 12 MB
% 23.11/3.88 % (753681)Instructions burned: 281 (million)
% 23.11/3.88 % (753695)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=2223547930:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/252Mi)
% 23.11/3.88 % (753696)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=40859252:i=823:fsr=off:rtra=on_2968 on theBenchmark for (2968ds/823Mi)
% 23.11/3.88 % (753695)Instruction limit reached!
% 23.11/3.88 % (753695)------------------------------
% 23.11/3.88 % (753695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.11/3.88 % (753695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.11/3.88 % (753695)CaDiCaL version: 2.1.3
% 23.11/3.88 % (753695)Termination reason: Instruction limit
% 23.11/3.88 % (753695)Termination phase: Saturation
% 23.11/3.88 % (753695)Time elapsed: 0.103 s
% 23.11/3.88 % (753695)Peak memory usage: 12 MB
% 23.11/3.88 % (753695)Instructions burned: 252 (million)
% 23.11/3.88 % (753699)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 23.11/3.88 % (753699)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3894838414:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/16202Mi)
% 23.71/4.08 % (753699)Refutation not found, incomplete strategy
% 23.71/4.08 % (753699)------------------------------
% 23.71/4.08 % (753699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.71/4.08 % (753699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/4.08 % (753699)CaDiCaL version: 2.1.3
% 23.71/4.08 % (753699)Termination reason: Refutation not found, incomplete strategy
% 23.71/4.08 % (753699)Time elapsed: 0.001 s
% 23.71/4.08 % (753699)Peak memory usage: 11 MB
% 23.71/4.08 % (753699)Instructions burned: 1 (million)
% 23.71/4.08 % (753699)------------------------------
% 23.71/4.08 % (753699)------------------------------
% 23.71/4.08 % (753701)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=559926394:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/300Mi)
% 23.71/4.08 % (753696)Instruction limit reached!
% 23.71/4.08 % (753696)------------------------------
% 23.71/4.08 % (753696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.71/4.08 % (753696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/4.08 % (753696)CaDiCaL version: 2.1.3
% 23.71/4.08 % (753696)Termination reason: Instruction limit
% 23.71/4.08 % (753696)Termination phase: Saturation
% 23.71/4.08 % (753696)Time elapsed: 0.201 s
% 23.71/4.08 % (753696)Peak memory usage: 13 MB
% 23.71/4.08 % (753696)Instructions burned: 824 (million)
% 23.71/4.08 % (753703)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 23.71/4.08 % (753703)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 23.71/4.08 % (753703)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=870314161:i=177:add=on:bd=preordered:rtra=on:rawr=on_2966 on theBenchmark for (2966ds/177Mi)
% 23.71/4.08 % (753703)Instruction limit reached!
% 23.71/4.08 % (753703)------------------------------
% 23.71/4.08 % (753703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.71/4.08 % (753703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/4.08 % (753703)CaDiCaL version: 2.1.3
% 23.71/4.08 % (753703)Termination reason: Instruction limit
% 23.71/4.08 % (753703)Termination phase: Saturation
% 23.71/4.08 % (753703)Time elapsed: 0.045 s
% 23.71/4.08 % (753703)Peak memory usage: 12 MB
% 23.71/4.08 % (753703)Instructions burned: 178 (million)
% 23.71/4.08 % (753701)Instruction limit reached!
% 23.71/4.08 % (753701)------------------------------
% 23.71/4.08 % (753701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.71/4.08 % (753701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/4.08 % (753701)CaDiCaL version: 2.1.3
% 23.71/4.08 % (753701)Termination reason: Instruction limit
% 23.71/4.08 % (753701)Termination phase: Saturation
% 23.71/4.08 % (753701)Time elapsed: 0.130 s
% 23.71/4.08 % (753701)Peak memory usage: 12 MB
% 23.71/4.08 % (753701)Instructions burned: 302 (million)
% 23.71/4.08 % (753705)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=1583922866:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/715Mi)
% 23.71/4.08 % (753705)Refutation not found, incomplete strategy
% 23.71/4.08 % (753705)------------------------------
% 23.71/4.08 % (753705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.71/4.08 % (753705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/4.08 % (753705)CaDiCaL version: 2.1.3
% 23.71/4.08 % (753705)Termination reason: Refutation not found, incomplete strategy
% 23.71/4.08 % (753705)Time elapsed: 0.0000 s
% 23.71/4.08 % (753705)Peak memory usage: 11 MB
% 23.71/4.08 % (753705)Instructions burned: 2 (million)
% 23.71/4.08 % (753705)------------------------------
% 23.71/4.08 % (753705)------------------------------
% 23.71/4.08 % (753706)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 23.71/4.08 % (753706)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 23.71/4.08 % (753708)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2521520932:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2965 on theBenchmark for (2965ds/606Mi)
% 23.71/4.08 % (753706)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=307288960:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2965 on theBenchmark for (2965ds/230Mi)
% 26.63/4.24 % (753706)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 26.63/4.24 % (753693)Instruction limit reached!
% 26.63/4.24 % (753693)------------------------------
% 26.63/4.24 % (753693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.63/4.24 % (753693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.63/4.24 % (753693)CaDiCaL version: 2.1.3
% 26.63/4.24 % (753693)Termination reason: Instruction limit
% 26.63/4.24 % (753693)Termination phase: Saturation
% 26.63/4.24 % (753693)Time elapsed: 0.368 s
% 26.63/4.24 % (753693)Peak memory usage: 14 MB
% 26.63/4.24 % (753693)Instructions burned: 709 (million)
% 26.63/4.24 % (753637)Instruction limit reached!
% 26.63/4.24 % (753637)------------------------------
% 26.63/4.24 % (753637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.63/4.24 % (753637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.63/4.24 % (753637)CaDiCaL version: 2.1.3
% 26.63/4.24 % (753637)Termination reason: Instruction limit
% 26.63/4.24 % (753637)Termination phase: Saturation
% 26.63/4.24 % (753637)Time elapsed: 1.159 s
% 26.63/4.24 % (753637)Peak memory usage: 17 MB
% 26.63/4.24 % (753637)Instructions burned: 2242 (million)
% 26.63/4.24 % (753711)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 26.63/4.24 % (753711)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=4057550060:lrd=on:i=841:nm=0:rtra=on_2965 on theBenchmark for (2965ds/841Mi)
% 26.63/4.24 % (753712)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2615776661:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2965 on theBenchmark for (2965ds/445Mi)
% 26.63/4.24 % (753706)Instruction limit reached!
% 26.63/4.24 % (753706)------------------------------
% 26.63/4.24 % (753706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.63/4.24 % (753706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.63/4.24 % (753706)CaDiCaL version: 2.1.3
% 26.63/4.24 % (753706)Termination reason: Instruction limit
% 26.63/4.24 % (753706)Termination phase: Saturation
% 26.63/4.24 % (753706)Time elapsed: 0.106 s
% 26.63/4.24 % (753706)Peak memory usage: 13 MB
% 26.63/4.24 % (753706)Instructions burned: 230 (million)
% 26.63/4.24 % (753715)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=3595229163:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2964 on theBenchmark for (2964ds/71Mi)
% 26.63/4.24 % (753715)Instruction limit reached!
% 26.63/4.24 % (753715)------------------------------
% 26.63/4.24 % (753715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.63/4.24 % (753715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.63/4.24 % (753715)CaDiCaL version: 2.1.3
% 26.63/4.24 % (753715)Termination reason: Instruction limit
% 26.63/4.24 % (753715)Termination phase: Saturation
% 26.63/4.24 % (753715)Time elapsed: 0.037 s
% 26.63/4.24 % (753715)Peak memory usage: 12 MB
% 26.63/4.24 % (753715)Instructions burned: 71 (million)
% 26.63/4.24 % (753717)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
% 26.63/4.24 % (753717)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 26.63/4.24 % (753717)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2856662445:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2963 on theBenchmark for (2963ds/100Mi)
% 26.63/4.24 % (753708)Instruction limit reached!
% 26.63/4.24 % (753708)------------------------------
% 26.63/4.24 % (753708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.63/4.24 % (753708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.63/4.24 % (753708)CaDiCaL version: 2.1.3
% 26.63/4.24 % (753708)Termination reason: Instruction limit
% 26.63/4.24 % (753708)Termination phase: Saturation
% 26.63/4.24 % (753708)Time elapsed: 0.188 s
% 26.63/4.24 % (753708)Peak memory usage: 12 MB
% 26.63/4.24 % (753708)Instructions burned: 607 (million)
% 27.16/4.30 % (753719)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 27.16/4.30 % (753719)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=1125167798:i=1352:add=on:aac=none:rtra=on_2963 on theBenchmark for (2963ds/1352Mi)
% 27.16/4.30 % (753719)Refutation not found, incomplete strategy
% 27.16/4.30 % (753719)------------------------------
% 27.16/4.30 % (753719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.16/4.30 % (753719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.16/4.30 % (753719)CaDiCaL version: 2.1.3
% 27.16/4.30 % (753719)Termination reason: Refutation not found, incomplete strategy
% 27.16/4.30 % (753719)Time elapsed: 0.006 s
% 27.16/4.30 % (753719)Peak memory usage: 11 MB
% 27.16/4.30 % (753719)Instructions burned: 3 (million)
% 27.16/4.30 % (753719)------------------------------
% 27.16/4.30 % (753719)------------------------------
% 27.16/4.30 % (753721)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=631681540:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2963 on theBenchmark for (2963ds/646Mi)
% 27.16/4.30 % (753717)Instruction limit reached!
% 27.16/4.30 % (753717)------------------------------
% 27.16/4.30 % (753717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.16/4.30 % (753717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.16/4.30 % (753717)CaDiCaL version: 2.1.3
% 27.16/4.30 % (753717)Termination reason: Instruction limit
% 27.16/4.30 % (753717)Termination phase: Saturation
% 27.16/4.30 % (753717)Time elapsed: 0.089 s
% 27.16/4.30 % (753717)Peak memory usage: 12 MB
% 27.16/4.30 % (753717)Instructions burned: 100 (million)
% 27.16/4.30 % (753723)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=1269975986:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2962 on theBenchmark for (2962ds/1924Mi)
% 27.16/4.30 % (753723)Refutation not found, incomplete strategy
% 27.16/4.30 % (753723)------------------------------
% 27.16/4.30 % (753723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.16/4.30 % (753723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.16/4.30 % (753723)CaDiCaL version: 2.1.3
% 27.16/4.30 % (753723)Termination reason: Refutation not found, incomplete strategy
% 27.16/4.30 % (753723)Time elapsed: 0.001 s
% 27.16/4.30 % (753723)Peak memory usage: 12 MB
% 27.16/4.30 % (753723)------------------------------
% 27.16/4.30 % (753723)------------------------------
% 27.16/4.30 % (753712)Instruction limit reached!
% 27.16/4.30 % (753712)------------------------------
% 27.16/4.30 % (753712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.16/4.30 % (753712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.16/4.30 % (753712)CaDiCaL version: 2.1.3
% 27.16/4.30 % (753712)Termination reason: Instruction limit
% 27.16/4.30 % (753712)Termination phase: Saturation
% 27.16/4.30 % (753712)Time elapsed: 0.223 s
% 27.16/4.30 % (753712)Peak memory usage: 14 MB
% 27.16/4.30 % (753712)Instructions burned: 445 (million)
% 27.16/4.30 % (753726)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=4294839834:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2962 on theBenchmark for (2962ds/592Mi)
% 27.16/4.30 % (753725)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1795955079:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2962 on theBenchmark for (2962ds/984Mi)
% 27.16/4.30 % (753725)Refutation not found, incomplete strategy
% 27.16/4.30 % (753725)------------------------------
% 27.16/4.30 % (753725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.16/4.30 % (753725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.16/4.30 % (753725)CaDiCaL version: 2.1.3
% 27.16/4.30 % (753725)Termination reason: Refutation not found, incomplete strategy
% 27.16/4.30 % (753725)Time elapsed: 0.001 s
% 27.16/4.30 % (753725)Peak memory usage: 11 MB
% 27.16/4.30 % (753725)Instructions burned: 1 (million)
% 27.16/4.30 % (753725)------------------------------
% 27.16/4.30 % (753725)------------------------------
% 27.16/4.30 % (753729)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1631393859:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2962 on theBenchmark for (2962ds/872Mi)
% 27.81/4.46 % (753729)Refutation not found, incomplete strategy
% 27.81/4.46 % (753729)------------------------------
% 27.81/4.46 % (753729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.81/4.46 % (753729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.81/4.46 % (753729)CaDiCaL version: 2.1.3
% 27.81/4.46 % (753729)Termination reason: Refutation not found, incomplete strategy
% 27.81/4.46 % (753729)Time elapsed: 0.005 s
% 27.81/4.46 % (753729)Peak memory usage: 11 MB
% 27.81/4.46 % (753729)------------------------------
% 27.81/4.46 % (753729)------------------------------
% 27.81/4.46 % (753731)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 27.81/4.46 % (753731)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=3787862123:i=999:add=on:rtra=on_2961 on theBenchmark for (2961ds/999Mi)
% 27.81/4.46 % (753721)Instruction limit reached!
% 27.81/4.46 % (753721)------------------------------
% 27.81/4.46 % (753721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.81/4.46 % (753721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.81/4.46 % (753721)CaDiCaL version: 2.1.3
% 27.81/4.46 % (753721)Termination reason: Instruction limit
% 27.81/4.46 % (753721)Termination phase: Saturation
% 27.81/4.46 % (753721)Time elapsed: 0.216 s
% 27.81/4.46 % (753721)Peak memory usage: 14 MB
% 27.81/4.46 % (753721)Instructions burned: 649 (million)
% 27.81/4.46 % (753733)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 27.81/4.46 % (753733)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=1347575682:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2960 on theBenchmark for (2960ds/244Mi)
% 27.81/4.46 % (753733)Refutation not found, incomplete strategy
% 27.81/4.46 % (753733)------------------------------
% 27.81/4.46 % (753733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.81/4.46 % (753733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.81/4.46 % (753733)CaDiCaL version: 2.1.3
% 27.81/4.46 % (753733)Termination reason: Refutation not found, incomplete strategy
% 27.81/4.46 % (753733)Time elapsed: 0.002 s
% 27.81/4.46 % (753733)Peak memory usage: 11 MB
% 27.81/4.46 % (753733)Instructions burned: 3 (million)
% 27.81/4.46 % (753733)------------------------------
% 27.81/4.46 % (753733)------------------------------
% 27.81/4.46 % (753711)Instruction limit reached!
% 27.81/4.46 % (753711)------------------------------
% 27.81/4.46 % (753711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.81/4.46 % (753711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.81/4.46 % (753711)CaDiCaL version: 2.1.3
% 27.81/4.46 % (753711)Termination reason: Instruction limit
% 27.81/4.46 % (753711)Termination phase: Saturation
% 27.81/4.46 % (753711)Time elapsed: 0.466 s
% 27.81/4.46 % (753711)Peak memory usage: 13 MB
% 27.81/4.46 % (753711)Instructions burned: 841 (million)
% 27.81/4.46 % (753735)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2047425382:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2960 on theBenchmark for (2960ds/113Mi)
% 27.81/4.46 % (753735)Refutation not found, incomplete strategy
% 27.81/4.46 % (753735)------------------------------
% 27.81/4.46 % (753735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.81/4.46 % (753735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.81/4.46 % (753735)CaDiCaL version: 2.1.3
% 27.81/4.46 % (753735)Termination reason: Refutation not found, incomplete strategy
% 27.81/4.46 % (753735)Time elapsed: 0.001 s
% 27.81/4.46 % (753735)Peak memory usage: 12 MB
% 27.81/4.46 % (753735)Instructions burned: 1 (million)
% 27.81/4.46 % (753735)------------------------------
% 27.81/4.46 % (753735)------------------------------
% 27.81/4.46 % (753736)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=181348776:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2960 on theBenchmark for (2960ds/7795Mi)
% 27.81/4.46 % (753736)Refutation not found, incomplete strategy
% 27.81/4.46 % (753736)------------------------------
% 27.81/4.46 % (753736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.81/4.46 % (753736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.78/4.69 % (753736)CaDiCaL version: 2.1.3
% 28.78/4.69 % (753736)Termination reason: Refutation not found, incomplete strategy
% 28.78/4.69 % (753736)Time elapsed: 0.001 s
% 28.78/4.69 % (753736)Peak memory usage: 11 MB
% 28.78/4.69 % (753736)------------------------------
% 28.78/4.69 % (753736)------------------------------
% 28.78/4.69 % (753738)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=320217653:st=2:i=5026:sd=1:rtra=on:ss=axioms_2960 on theBenchmark for (2960ds/5026Mi)
% 28.78/4.69 % (753738)Refutation not found, incomplete strategy
% 28.78/4.69 % (753738)------------------------------
% 28.78/4.69 % (753738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.78/4.69 % (753738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.78/4.69 % (753738)CaDiCaL version: 2.1.3
% 28.78/4.69 % (753738)Termination reason: Refutation not found, incomplete strategy
% 28.78/4.69 % (753738)Time elapsed: 0.001 s
% 28.78/4.69 % (753738)Peak memory usage: 11 MB
% 28.78/4.69 % (753738)------------------------------
% 28.78/4.69 % (753738)------------------------------
% 28.78/4.69 % (753740)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 28.78/4.69 % (753740)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=3504881344:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2960 on theBenchmark for (2960ds/763Mi)
% 28.78/4.69 % (753740)Refutation not found, incomplete strategy
% 28.78/4.69 % (753740)------------------------------
% 28.78/4.69 % (753740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.78/4.69 % (753740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.78/4.69 % (753740)CaDiCaL version: 2.1.3
% 28.78/4.69 % (753740)Termination reason: Refutation not found, incomplete strategy
% 28.78/4.69 % (753740)Time elapsed: 0.001 s
% 28.78/4.69 % (753740)Peak memory usage: 11 MB
% 28.78/4.69 % (753740)Instructions burned: 1 (million)
% 28.78/4.69 % (753740)------------------------------
% 28.78/4.69 % (753740)------------------------------
% 28.78/4.69 % (753726)Instruction limit reached!
% 28.78/4.69 % (753726)------------------------------
% 28.78/4.69 % (753726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.78/4.69 % (753726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.78/4.69 % (753726)CaDiCaL version: 2.1.3
% 28.78/4.69 % (753726)Termination reason: Instruction limit
% 28.78/4.69 % (753726)Termination phase: Saturation
% 28.78/4.69 % (753726)Time elapsed: 0.254 s
% 28.78/4.69 % (753726)Peak memory usage: 12 MB
% 28.78/4.69 % (753726)Instructions burned: 592 (million)
% 28.78/4.69 % (753742)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3804766542:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2960 on theBenchmark for (2960ds/1144Mi)
% 28.78/4.69 % (753742)Refutation not found, incomplete strategy
% 28.78/4.69 % (753742)------------------------------
% 28.78/4.69 % (753742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.78/4.69 % (753742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.78/4.69 % (753742)CaDiCaL version: 2.1.3
% 28.78/4.69 % (753742)Termination reason: Refutation not found, incomplete strategy
% 28.78/4.69 % (753742)Time elapsed: 0.0000 s
% 28.78/4.69 % (753742)Peak memory usage: 11 MB
% 28.78/4.69 % (753742)------------------------------
% 28.78/4.69 % (753742)------------------------------
% 28.78/4.69 % (753744)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 28.78/4.69 % (753744)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=4280603281:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2959 on theBenchmark for (2959ds/52Mi)
% 28.78/4.69 % (753745)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=363256041:i=1724:fsr=off:rtra=on:fe=abstraction_2959 on theBenchmark for (2959ds/1724Mi)
% 28.78/4.69 % (753747)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=3715268660:i=439:add=on:slsql=off:rtra=on:ntd=on_2959 on theBenchmark for (2959ds/439Mi)
% 28.78/4.69 % (753744)Instruction limit reached!
% 28.78/4.69 % (753744)------------------------------
% 28.78/4.69 % (753744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.91/5.05 % (753744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.91/5.05 % (753744)CaDiCaL version: 2.1.3
% 29.91/5.05 % (753744)Termination reason: Instruction limit
% 29.91/5.05 % (753744)Termination phase: Saturation
% 29.91/5.05 % (753744)Time elapsed: 0.022 s
% 29.91/5.05 % (753744)Peak memory usage: 12 MB
% 29.91/5.05 % (753744)Instructions burned: 55 (million)
% 29.91/5.05 % (753751)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=3721422425:i=6395:sd=1:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/6395Mi)
% 29.91/5.05 % (753751)Refutation not found, incomplete strategy
% 29.91/5.05 % (753751)------------------------------
% 29.91/5.05 % (753751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.91/5.05 % (753751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.91/5.05 % (753751)CaDiCaL version: 2.1.3
% 29.91/5.05 % (753751)Termination reason: Refutation not found, incomplete strategy
% 29.91/5.05 % (753751)Time elapsed: 0.001 s
% 29.91/5.05 % (753751)Peak memory usage: 11 MB
% 29.91/5.05 % (753751)------------------------------
% 29.91/5.05 % (753751)------------------------------
% 29.91/5.05 % (753753)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 29.91/5.05 % (753731)Instruction limit reached!
% 29.91/5.05 % (753731)------------------------------
% 29.91/5.05 % (753731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.91/5.05 % (753731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.91/5.05 % (753731)CaDiCaL version: 2.1.3
% 29.91/5.05 % (753731)Termination reason: Instruction limit
% 29.91/5.05 % (753731)Termination phase: Saturation
% 29.91/5.05 % (753731)Time elapsed: 0.252 s
% 29.91/5.05 % (753731)Peak memory usage: 14 MB
% 29.91/5.05 % (753731)Instructions burned: 1002 (million)
% 29.91/5.05 % (753753)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=1308161057:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2959 on theBenchmark for (2959ds/6762Mi)
% 29.91/5.05 % (753753)Refutation not found, incomplete strategy
% 29.91/5.05 % (753753)------------------------------
% 29.91/5.05 % (753753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.91/5.05 % (753753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.91/5.05 % (753753)CaDiCaL version: 2.1.3
% 29.91/5.05 % (753753)Termination reason: Refutation not found, incomplete strategy
% 29.91/5.05 % (753753)Time elapsed: 0.001 s
% 29.91/5.05 % (753753)Peak memory usage: 11 MB
% 29.91/5.05 % (753753)------------------------------
% 29.91/5.05 % (753753)------------------------------
% 29.91/5.05 % (753754)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 29.91/5.05 % (753754)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=2859216699:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2959 on theBenchmark for (2959ds/376Mi)
% 29.91/5.05 % (753756)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=1474222268:i=965:bd=all:ins=4:rtra=on_2959 on theBenchmark for (2959ds/965Mi)
% 29.91/5.05 % (753747)Instruction limit reached!
% 29.91/5.05 % (753747)------------------------------
% 29.91/5.05 % (753747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.91/5.05 % (753747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.91/5.05 % (753747)CaDiCaL version: 2.1.3
% 29.91/5.05 % (753747)Termination reason: Instruction limit
% 29.91/5.05 % (753747)Termination phase: Saturation
% 29.91/5.05 % (753747)Time elapsed: 0.146 s
% 29.91/5.05 % (753747)Peak memory usage: 12 MB
% 29.91/5.05 % (753747)Instructions burned: 441 (million)
% 29.91/5.05 % (753759)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3674806049:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2958 on theBenchmark for (2958ds/5013Mi)
% 29.91/5.05 % (753759)Refutation not found, incomplete strategy
% 29.91/5.05 % (753759)------------------------------
% 29.91/5.05 % (753759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.91/5.05 % (753759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.91/5.05 % (753759)CaDiCaL version: 2.1.3
% 29.91/5.05 % (753759)Termination reason: Refutation not found, incomplete strategy
% 29.91/5.05 % (753759)Time elapsed: 0.001 s
% 29.91/5.05 % (753759)Peak memory usage: 11 MB
% 33.15/5.21 % (753759)------------------------------
% 33.15/5.21 % (753759)------------------------------
% 33.15/5.21 % (753754)Instruction limit reached!
% 33.15/5.21 % (753754)------------------------------
% 33.15/5.21 % (753754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.15/5.21 % (753754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.21 % (753754)CaDiCaL version: 2.1.3
% 33.15/5.21 % (753754)Termination reason: Instruction limit
% 33.15/5.21 % (753754)Termination phase: Saturation
% 33.15/5.21 % (753754)Time elapsed: 0.116 s
% 33.15/5.21 % (753754)Peak memory usage: 14 MB
% 33.15/5.21 % (753754)Instructions burned: 376 (million)
% 33.15/5.21 % (753761)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3047534869:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2957 on theBenchmark for (2957ds/1583Mi)
% 33.15/5.21 % (753762)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 33.15/5.21 % (753762)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 33.15/5.21 % (753762)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 33.15/5.21 % (753762)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 33.15/5.21 % (753762)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=3867935028:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2957 on theBenchmark for (2957ds/1774Mi)
% 33.15/5.21 % (753762)Refutation not found, incomplete strategy
% 33.15/5.21 % (753762)------------------------------
% 33.15/5.21 % (753762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.15/5.21 % (753762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.21 % (753762)CaDiCaL version: 2.1.3
% 33.15/5.21 % (753762)Termination reason: Refutation not found, incomplete strategy
% 33.15/5.21 % (753762)Time elapsed: 0.001 s
% 33.15/5.21 % (753762)Peak memory usage: 12 MB
% 33.15/5.21 % (753762)------------------------------
% 33.15/5.21 % (753762)------------------------------
% 33.15/5.21 % (753765)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3480540300:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/515Mi)
% 33.15/5.21 % (753765)Refutation not found, incomplete strategy
% 33.15/5.21 % (753765)------------------------------
% 33.15/5.21 % (753765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.15/5.21 % (753765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.21 % (753765)CaDiCaL version: 2.1.3
% 33.15/5.21 % (753765)Termination reason: Refutation not found, incomplete strategy
% 33.15/5.21 % (753765)Time elapsed: 0.001 s
% 33.15/5.21 % (753765)Peak memory usage: 12 MB
% 33.15/5.21 % (753765)------------------------------
% 33.15/5.21 % (753765)------------------------------
% 33.15/5.21 % (753767)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 33.15/5.21 % (753767)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=339211108:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2957 on theBenchmark for (2957ds/1297Mi)
% 33.15/5.21 % (753496)Instruction limit reached!
% 33.15/5.21 % (753496)------------------------------
% 33.15/5.21 % (753496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.15/5.21 % (753496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.15/5.21 % (753496)CaDiCaL version: 2.1.3
% 33.15/5.21 % (753496)Termination reason: Instruction limit
% 33.15/5.21 % (753496)Termination phase: Saturation
% 33.15/5.21 % (753496)Time elapsed: 3.653 s
% 33.15/5.21 % (753496)Peak memory usage: 18 MB
% 33.15/5.21 % (753496)Instructions burned: 9842 (million)
% 33.15/5.21 % (753769)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=2390538044:s2a=on:i=611:rtra=on:gsp=on_2955 on theBenchmark for (2955ds/611Mi)
% 33.15/5.21 % (753769)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 33.56/5.37 % (753756)Instruction limit reached!
% 33.56/5.37 % (753756)------------------------------
% 33.56/5.37 % (753756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.37 % (753756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.37 % (753756)CaDiCaL version: 2.1.3
% 33.56/5.37 % (753756)Termination reason: Instruction limit
% 33.56/5.37 % (753756)Termination phase: Saturation
% 33.56/5.37 % (753756)Time elapsed: 0.398 s
% 33.56/5.37 % (753756)Peak memory usage: 15 MB
% 33.56/5.37 % (753756)Instructions burned: 967 (million)
% 33.56/5.37 % (753771)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 33.56/5.37 % (753771)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2382604472:i=72:bd=all:rtra=on_2954 on theBenchmark for (2954ds/72Mi)
% 33.56/5.37 % (753771)Refutation not found, incomplete strategy
% 33.56/5.37 % (753771)------------------------------
% 33.56/5.37 % (753771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.38 % (753771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.38 % (753771)CaDiCaL version: 2.1.3
% 33.56/5.38 % (753771)Termination reason: Refutation not found, incomplete strategy
% 33.56/5.38 % (753771)Time elapsed: 0.001 s
% 33.56/5.38 % (753771)Peak memory usage: 11 MB
% 33.56/5.38 % (753771)Instructions burned: 1 (million)
% 33.56/5.38 % (753771)------------------------------
% 33.56/5.38 % (753771)------------------------------
% 33.56/5.38 % (753773)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=363073502:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2954 on theBenchmark for (2954ds/6580Mi)
% 33.56/5.38 % (753769)Instruction limit reached!
% 33.56/5.38 % (753769)------------------------------
% 33.56/5.38 % (753769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.38 % (753769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.38 % (753769)CaDiCaL version: 2.1.3
% 33.56/5.38 % (753769)Termination reason: Instruction limit
% 33.56/5.38 % (753769)Termination phase: Saturation
% 33.56/5.38 % (753769)Time elapsed: 0.289 s
% 33.56/5.38 % (753769)Peak memory usage: 13 MB
% 33.56/5.38 % (753769)Instructions burned: 612 (million)
% 33.56/5.38 % (753775)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=12621559:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2952 on theBenchmark for (2952ds/6209Mi)
% 33.56/5.38 % (753775)Refutation not found, incomplete strategy
% 33.56/5.38 % (753775)------------------------------
% 33.56/5.38 % (753775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.38 % (753775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.38 % (753775)CaDiCaL version: 2.1.3
% 33.56/5.38 % (753775)Termination reason: Refutation not found, incomplete strategy
% 33.56/5.38 % (753775)Time elapsed: 0.001 s
% 33.56/5.38 % (753775)Peak memory usage: 11 MB
% 33.56/5.38 % (753745)Instruction limit reached!
% 33.56/5.38 % (753745)------------------------------
% 33.56/5.38 % (753745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.38 % (753767)Instruction limit reached!
% 33.56/5.38 % (753767)------------------------------
% 33.56/5.38 % (753767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.38 % (753745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.38 % (753745)CaDiCaL version: 2.1.3
% 33.56/5.38 % (753745)Termination reason: Instruction limit
% 33.56/5.38 % (753745)Termination phase: Saturation
% 33.56/5.38 % (753745)Time elapsed: 0.746 s
% 33.56/5.38 % (753745)Peak memory usage: 13 MB
% 33.56/5.38 % (753767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.38 % (753745)Instructions burned: 1725 (million)
% 33.56/5.38 % (753767)CaDiCaL version: 2.1.3
% 33.56/5.38 % (753767)Termination reason: Instruction limit
% 33.56/5.38 % (753767)Termination phase: Saturation
% 33.56/5.38 % (753767)Time elapsed: 0.497 s
% 33.56/5.38 % (753767)Peak memory usage: 12 MB
% 33.56/5.38 % (753767)Instructions burned: 1298 (million)
% 33.56/5.38 % (753775)------------------------------
% 33.56/5.38 % (753775)------------------------------
% 33.56/5.38 % (753777)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=2961488182:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2952 on theBenchmark for (2952ds/1003Mi)
% 33.56/5.38 % (753779)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=166598374:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2952 on theBenchmark for (2952ds/403Mi)
% 33.56/5.38 % (753779)Refutation not found, incomplete strategy
% 33.56/5.38 % (753779)------------------------------
% 33.56/5.38 % (753779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.38 % (753779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.38 % (753779)CaDiCaL version: 2.1.3
% 33.56/5.38 % (753779)Termination reason: Refutation not found, incomplete strategy
% 33.56/5.38 % (753779)Time elapsed: 0.001 s
% 33.56/5.38 % (753779)Peak memory usage: 11 MB
% 33.56/5.38 % (753779)Instructions burned: 1 (million)
% 33.56/5.38 % (753778)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 33.56/5.38 % (753779)------------------------------
% 33.56/5.38 % (753779)------------------------------
% 33.56/5.38 % (753778)ott+1002_16_sil=128000:si=on:random_seed=2649653790:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2952 on theBenchmark for (2952ds/409Mi)
% 33.56/5.38 % (753782)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=577961503:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2952 on theBenchmark for (2952ds/6843Mi)
% 33.56/5.38 % (753782)Refutation not found, incomplete strategy
% 33.56/5.38 % (753782)------------------------------
% 33.56/5.38 % (753782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.38 % (753782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.38 % (753782)CaDiCaL version: 2.1.3
% 33.56/5.38 % (753782)Termination reason: Refutation not found, incomplete strategy
% 33.56/5.38 % (753782)Time elapsed: 0.001 s
% 33.56/5.38 % (753782)Peak memory usage: 11 MB
% 33.56/5.38 % (753782)Instructions burned: 1 (million)
% 33.56/5.38 % (753782)------------------------------
% 33.56/5.38 % (753782)------------------------------
% 33.56/5.38 % (753785)lrs+10_2:1_si=on:random_seed=2097048510:s2a=on:i=506:rtra=on:fe=abstraction_2951 on theBenchmark for (2951ds/506Mi)
% 33.56/5.38 % (753682)Instruction limit reached!
% 33.56/5.38 % (753682)------------------------------
% 33.56/5.38 % (753682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.38 % (753682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.38 % (753682)CaDiCaL version: 2.1.3
% 33.56/5.38 % (753682)Termination reason: Instruction limit
% 33.56/5.38 % (753682)Termination phase: Saturation
% 33.56/5.38 % (753682)Time elapsed: 1.873 s
% 33.56/5.38 % (753682)Peak memory usage: 16 MB
% 33.56/5.38 % (753682)Instructions burned: 4388 (million)
% 33.56/5.38 % (753787)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=1846800314:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2951 on theBenchmark for (2951ds/888Mi)
% 33.56/5.38 % (753761)Instruction limit reached!
% 33.56/5.38 % (753761)------------------------------
% 33.56/5.38 % (753761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.38 % (753761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.38 % (753761)CaDiCaL version: 2.1.3
% 33.56/5.38 % (753761)Termination reason: Instruction limit
% 33.56/5.38 % (753761)Termination phase: Saturation
% 33.56/5.38 % (753761)Time elapsed: 0.671 s
% 33.56/5.38 % (753761)Peak memory usage: 13 MB
% 33.56/5.38 % (753761)Instructions burned: 1584 (million)
% 33.56/5.38 % (753789)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 33.56/5.38 % (753789)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=2520978733:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2951 on theBenchmark for (2951ds/416Mi)
% 33.56/5.38 % (753778)Instruction limit reached!
% 33.56/5.38 % (753778)------------------------------
% 33.56/5.38 % (753778)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.38 % (753778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.38 % (753778)CaDiCaL version: 2.1.3
% 33.56/5.38 % (753778)Termination reason: Instruction limit
% 33.56/5.38 % (753778)Termination phase: Saturation
% 33.56/5.38 % (753778)Time elapsed: 0.153 s
% 33.56/5.38 % (753778)Peak memory usage: 12 MB
% 33.56/5.38 % (753778)Instructions burned: 410 (million)
% 33.56/5.38 % (753791)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=1764215130:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2950 on theBenchmark for (2950ds/13534Mi)
% 33.56/5.38 % (753791)Refutation not found, incomplete strategy
% 33.56/5.38 % (753791)------------------------------
% 33.56/5.38 % (753791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.38 % (753791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.38 % (753791)CaDiCaL version: 2.1.3
% 33.56/5.38 % (753791)Termination reason: Refutation not found, incomplete strategy
% 33.56/5.38 % (753791)Time elapsed: 0.001 s
% 33.56/5.38 % (753791)Peak memory usage: 11 MB
% 33.56/5.38 % (753791)------------------------------
% 33.56/5.38 % (753791)------------------------------
% 33.56/5.38 % (753793)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 33.56/5.38 % (753793)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=348469587:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2950 on theBenchmark for (2950ds/206Mi)
% 33.56/5.38 % (753648) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-753326-753648"...
% 33.56/5.38 % (753785)Instruction limit reached!
% 33.56/5.38 % (753785)------------------------------
% 33.56/5.38 % (753785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.38 % (753785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.38 % (753785)CaDiCaL version: 2.1.3
% 33.56/5.38 % (753785)Termination reason: Instruction limit
% 33.56/5.38 % (753785)Termination phase: Saturation
% 33.56/5.38 % (753785)Time elapsed: 0.226 s
% 33.56/5.38 % (753785)Peak memory usage: 13 MB
% 33.56/5.38 % (753785)Instructions burned: 507 (million)
% 33.56/5.38 % (753796)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=526837934:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2949 on theBenchmark for (2949ds/2295Mi)
% 33.56/5.38 % (753789)Instruction limit reached!
% 33.56/5.38 % (753789)------------------------------
% 33.56/5.38 % (753789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.56/5.38 % (753789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.56/5.38 % (753789)CaDiCaL version: 2.1.3
% 33.56/5.38 % (753789)Termination reason: Instruction limit
% 33.56/5.38 % (753789)Termination phase: Saturation
% 33.56/5.38 % (753789)Time elapsed: 0.195 s
% 33.56/5.38 % (753789)Peak memory usage: 14 MB
% 33.56/5.38 % (753789)Instructions burned: 417 (million)
% 33.56/5.38 % (753648)...printing done.
% 33.56/5.38 % (753648)Refutation found. Thanks to Tanya!
% 33.56/5.38 % SZS status Unsatisfiable for theBenchmark
% 33.56/5.38 % SZS output start Proof for theBenchmark
% See solution above
% 35.06/5.42 % (753648)------------------------------
% 35.06/5.42 % (753648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.06/5.42 % (753648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.06/5.42 % (753648)CaDiCaL version: 2.1.3
% 35.06/5.42 % (753648)Termination reason: Refutation
% 35.06/5.42 % (753648)Time elapsed: 2.631 s
% 35.06/5.42 % (753648)Peak memory usage: 19 MB
% 35.06/5.42 % (753648)Instructions burned: 3395 (million)
% 35.06/5.42 % (753326)Success in time 5.139 s
% 35.06/5.42 % Vampire exiting
%------------------------------------------------------------------------------