%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA139^1 : 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 : n009.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 07:57:37 AM UTC 2026
% Result : Unsatisfiable 35.57s 5.65s
% Output : Refutation 35.57s
% 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] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X1: $i,X0: $i] :
( ( r @ X0 @ X1 )
| ( X0 = X1 )
| ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X2: $i,X0: $i,X1: $i,X3: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X1 ) ),
inference(rectify,[],[f6]) ).
thf(f9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X2 @ X0 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X1 @ X0 )
| ~ ( b @ X1 @ X2 ) ),
inference(rectify,[],[f7]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X0 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i] :
( ( r @ X1 @ X0 )
| ( X0 = X1 )
| ( b @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f13,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X1 @ X0 ) ) ),
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] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f17,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i,X2: $i,X1: $i,X3: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true ) ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f20,plain,
! [X1: $i,X3: $i,X2: $i,X0: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X3 ) )
| ( ( b @ X0 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) ),
inference(flattening,[],[f11]) ).
thf(f21,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f15]) ).
thf(f22,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X3 ) ) ),
inference(rectify,[],[f18]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(rectify,[],[f20]) ).
thf(f25,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f22]) ).
thf(f26,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f27,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X1 @ X3 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f31,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f34,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f30,f26]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f30,f26]) ).
thf(f36,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f30,f28]) ).
thf(f39,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X3 @ X0 ) ) ),
inference(constrained_superposition,[],[f29,f30]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f34]) ).
thf(f42,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f48,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(constrained_superposition,[],[f29,f35]) ).
thf(f49,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f54,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f36,f28]) ).
thf(f56,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f36,f26]) ).
thf(f57,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f36,f26]) ).
thf(f64,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f49,f56]) ).
thf(f65,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f42,f56]) ).
thf(f66,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f29,f56]) ).
thf(f67,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f64]) ).
thf(f68,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f65]) ).
thf(f69,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f66]) ).
thf(f71,definition,
( spl0_1
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f72,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f71]) ).
thf(f74,definition,
( spl0_2
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f75,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f76,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f67,f74,f71]) ).
thf(f78,definition,
( spl0_3
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f79,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f78]) ).
thf(f81,definition,
( spl0_4
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f82,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f81]) ).
thf(f83,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f68,f81,f78]) ).
thf(f87,definition,
( spl0_5
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f88,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f87]) ).
thf(f90,definition,
( spl0_6
<=> ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f91,plain,
( ! [X0: $i] :
( $true
!= ( r @ z @ X0 ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f90]) ).
thf(f107,definition,
( spl0_8
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f108,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_8 ),
inference(avatar_component_clause,[],[f107]) ).
thf(f110,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_8 ),
inference(constrained_superposition,[],[f108,f35]) ).
thf(f113,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_8 ),
inference(trivial_inequality_removal,[],[f110]) ).
thf(f115,plain,
( spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f113,f107,f74]) ).
thf(f130,definition,
( spl0_9
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f131,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f133,definition,
( spl0_10
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f134,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_10 ),
inference(avatar_component_clause,[],[f133]) ).
thf(f136,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| spl0_10 ),
inference(constrained_superposition,[],[f134,f34]) ).
thf(f139,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_10 ),
inference(trivial_inequality_removal,[],[f136]) ).
thf(f141,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f139,f133,f81]) ).
thf(f147,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f69,f34]) ).
thf(f149,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f147]) ).
thf(f154,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f42,f57]) ).
thf(f155,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f29,f57]) ).
thf(f158,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f155]) ).
thf(f159,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f154]) ).
thf(f161,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f158,f34]) ).
thf(f168,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f161]) ).
thf(f169,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(extensionality_resolution,[],[f54,f26]) ).
thf(f170,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f54,f26]) ).
thf(f171,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f54,f28]) ).
thf(f193,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f169]) ).
thf(f199,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f193]) ).
thf(f202,definition,
( spl0_11
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f203,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_11 ),
inference(avatar_component_clause,[],[f202]) ).
thf(f212,definition,
( spl0_14
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f213,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f212]) ).
thf(f216,definition,
( spl0_15
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f217,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_15 ),
inference(avatar_component_clause,[],[f216]) ).
thf(f223,definition,
( spl0_17
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f224,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f223]) ).
thf(f227,definition,
( spl0_18
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f228,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f227]) ).
thf(f234,definition,
( spl0_20
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f235,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f234]) ).
thf(f240,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_15 ),
inference(constrained_superposition,[],[f217,f35]) ).
thf(f243,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_15 ),
inference(trivial_inequality_removal,[],[f240]) ).
thf(f245,plain,
( spl0_18
| spl0_15 ),
inference(avatar_split_clause,[],[f243,f216,f227]) ).
thf(f249,definition,
( spl0_22
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f250,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f249]) ).
thf(f252,plain,
( ( $true != $true )
| ~ spl0_4
| ~ spl0_6 ),
inference(constrained_superposition,[],[f91,f82]) ).
thf(f253,plain,
( $false
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f252]) ).
thf(f254,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f253]) ).
thf(f256,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f168,f91]) ).
thf(f262,definition,
( spl0_24
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f263,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f262]) ).
thf(f265,definition,
( spl0_25
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
thf(f266,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f265]) ).
thf(f267,plain,
( spl0_24
| spl0_25
| ~ spl0_10
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f256,f90,f133,f265,f262]) ).
thf(f269,definition,
( spl0_26
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f270,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f269]) ).
thf(f271,plain,
( spl0_25
| ~ spl0_10
| spl0_26 ),
inference(avatar_split_clause,[],[f168,f269,f133,f265]) ).
thf(f273,definition,
( spl0_27
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f274,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f273]) ).
thf(f275,plain,
( spl0_27
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f149,f133,f273]) ).
thf(f279,definition,
( spl0_28
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f280,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f279]) ).
thf(f283,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_11 ),
inference(constrained_superposition,[],[f203,f36]) ).
thf(f285,plain,
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_11 ),
inference(trivial_inequality_removal,[],[f283]) ).
thf(f288,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f285,f26]) ).
thf(f292,plain,
( $false
| spl0_11
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f288,f280]) ).
thf(f293,plain,
( spl0_11
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f292]) ).
thf(f327,definition,
( spl0_30
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f328,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_30 ),
inference(avatar_component_clause,[],[f327]) ).
thf(f334,definition,
( spl0_32
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f335,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_32 ),
inference(avatar_component_clause,[],[f334]) ).
thf(f337,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_32 ),
inference(constrained_superposition,[],[f335,f34]) ).
thf(f339,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_32 ),
inference(trivial_inequality_removal,[],[f337]) ).
thf(f341,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_30 ),
inference(constrained_superposition,[],[f328,f57]) ).
thf(f343,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_30 ),
inference(constrained_superposition,[],[f328,f30]) ).
thf(f344,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_30 ),
inference(trivial_inequality_removal,[],[f343]) ).
thf(f345,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_30 ),
inference(trivial_inequality_removal,[],[f341]) ).
thf(f348,definition,
( spl0_33
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f349,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f348]) ).
thf(f350,plain,
( spl0_14
| spl0_33
| spl0_30 ),
inference(avatar_split_clause,[],[f344,f327,f348,f212]) ).
thf(f351,plain,
( spl0_14
| spl0_30 ),
inference(avatar_split_clause,[],[f345,f327,f212]) ).
thf(f355,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_9
| ~ spl0_28 ),
inference(constrained_superposition,[],[f280,f131]) ).
thf(f357,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f27,f131]) ).
thf(f358,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f357]) ).
thf(f359,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_9
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f355]) ).
thf(f361,definition,
( spl0_34
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f362,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f361]) ).
thf(f364,definition,
( spl0_35
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ z ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f365,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f364]) ).
thf(f366,plain,
( spl0_34
| spl0_35
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f358,f130,f364,f361]) ).
thf(f367,plain,
( $false
| ~ spl0_9
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f359,f280]) ).
thf(f368,plain,
( ~ spl0_9
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f367]) ).
thf(f371,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f170,f280]) ).
thf(f372,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_28 ),
inference(constrained_superposition,[],[f79,f371]) ).
thf(f374,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f158,f371]) ).
thf(f375,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f69,f371]) ).
thf(f377,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_28 ),
inference(constrained_superposition,[],[f42,f371]) ).
thf(f379,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f375]) ).
thf(f382,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f377]) ).
thf(f384,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f374]) ).
thf(f385,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_3
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f372]) ).
thf(f387,definition,
( spl0_36
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f388,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f387]) ).
thf(f389,plain,
( spl0_36
| ~ spl0_11
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f379,f279,f202,f387]) ).
thf(f391,definition,
( spl0_37
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f392,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f391]) ).
thf(f394,definition,
( spl0_38
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f395,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f394]) ).
thf(f396,plain,
( ~ spl0_15
| spl0_37
| spl0_38
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f382,f279,f394,f391,f216]) ).
thf(f402,definition,
( spl0_40
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f403,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f402]) ).
thf(f405,definition,
( spl0_41
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f406,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f405]) ).
thf(f407,plain,
( spl0_40
| ~ spl0_11
| spl0_41
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f384,f279,f405,f202,f402]) ).
thf(f408,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_3
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f385,f280]) ).
thf(f410,definition,
( spl0_42
<=> ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f411,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f410]) ).
thf(f412,plain,
( ~ spl0_15
| spl0_42
| ~ spl0_3
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f408,f279,f78,f410,f216]) ).
thf(f415,definition,
( spl0_43
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f416,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f415]) ).
thf(f418,plain,
( spl0_20
| spl0_32 ),
inference(avatar_split_clause,[],[f339,f334,f234]) ).
thf(f430,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f158,f170]) ).
thf(f433,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f42,f170]) ).
thf(f434,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f170]) ).
thf(f437,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f430]) ).
thf(f439,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f434]) ).
thf(f441,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f433]) ).
thf(f451,definition,
( spl0_46
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f452,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f451]) ).
thf(f453,plain,
( ~ spl0_11
| spl0_41
| spl0_46 ),
inference(avatar_split_clause,[],[f437,f451,f405,f202]) ).
thf(f455,definition,
( spl0_47
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
thf(f456,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f455]) ).
thf(f459,definition,
( spl0_48
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f460,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f459]) ).
thf(f461,plain,
( spl0_48
| spl0_38
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f441,f216,f394,f459]) ).
thf(f472,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_5
| ~ spl0_17 ),
inference(constrained_superposition,[],[f88,f224]) ).
thf(f476,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_5
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f472]) ).
thf(f477,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_47 ),
inference(constrained_superposition,[],[f456,f35]) ).
thf(f479,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f477]) ).
thf(f483,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f439,f34]) ).
thf(f490,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f483]) ).
thf(f496,definition,
( spl0_49
<=> ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f497,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X1 ) ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f496]) ).
thf(f498,plain,
( spl0_49
| spl0_48
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f490,f334,f459,f496]) ).
thf(f500,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f27,f460]) ).
thf(f501,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f500]) ).
thf(f504,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_47 ),
inference(constrained_superposition,[],[f27,f479]) ).
thf(f505,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f504]) ).
thf(f511,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X0 = X1 )
| ( X2 = X3 ) ),
inference(constrained_superposition,[],[f40,f30]) ).
thf(f512,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f40,f34]) ).
thf(f513,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( X1 = X2 )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) ) ),
inference(constrained_superposition,[],[f40,f35]) ).
thf(f522,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( X1 = X2 )
| ( ( r @ X1 @ X2 )
= $true ) ),
inference(trivial_inequality_removal,[],[f513]) ).
thf(f523,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( X1 = X2 )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f512]) ).
thf(f525,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true )
| ( X2 = X3 )
| ( ( r @ X2 @ X3 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f511]) ).
thf(f529,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ X1 @ X3 ) )
| ( $true
= ( r @ X2 @ X0 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X1 = X3 )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( X0 = X2 )
| ( X0 = X1 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f525,f30]) ).
thf(f540,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( X1 = X3 )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X2 )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ X3 ) )
| ( $true
= ( r @ X2 @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f529]) ).
thf(f547,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true != $true )
| ( X0 = X3 )
| ( X1 = X2 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X1 = X3 )
| ( $true
= ( r @ X3 @ X1 ) )
| ( $true
= ( r @ X0 @ X3 ) )
| ( ( r @ X1 @ X2 )
= $true ) ),
inference(constrained_superposition,[],[f540,f30]) ).
thf(f564,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
= ( r @ X3 @ X1 ) )
| ( X1 = X2 )
| ( X0 = X3 )
| ( X0 = X1 )
| ( X1 = X3 )
| ( $true
= ( r @ X0 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f547]) ).
thf(f571,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( $true != $true )
| ( $true
!= ( b @ z @ X1 ) ) ),
inference(constrained_superposition,[],[f523,f56]) ).
thf(f573,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X1 ) ),
inference(constrained_superposition,[],[f523,f169]) ).
thf(f579,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( s @ z )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f571]) ).
thf(f581,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f573]) ).
thf(f590,definition,
( spl0_51
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f591,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f590]) ).
thf(f593,definition,
( spl0_52
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X1 )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f594,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ X1 ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f593]) ).
thf(f595,plain,
( ~ spl0_10
| spl0_51
| spl0_52 ),
inference(avatar_split_clause,[],[f579,f593,f590,f133]) ).
thf(f597,definition,
( spl0_53
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f598,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f597]) ).
thf(f600,definition,
( spl0_54
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
!= ( b @ z @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f601,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f600]) ).
thf(f602,plain,
( spl0_53
| ~ spl0_32
| spl0_54 ),
inference(avatar_split_clause,[],[f581,f600,f334,f597]) ).
thf(f612,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_22 ),
inference(constrained_superposition,[],[f250,f213]) ).
thf(f615,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_14
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f612]) ).
thf(f618,plain,
( $false
| ~ spl0_2
| ~ spl0_14
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f615,f75]) ).
thf(f619,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f618]) ).
thf(f634,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f601,f34]) ).
thf(f636,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f634]) ).
thf(f657,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f27,f452]) ).
thf(f658,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f657]) ).
thf(f713,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(extensionality_resolution,[],[f171,f26]) ).
thf(f714,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(extensionality_resolution,[],[f171,f26]) ).
thf(f739,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ X3 ) )
| ( $true != $true )
| ( ( r @ X0 @ X2 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( X2 = X3 )
| ( X0 = X3 )
| ( X0 = X2 )
| ( X1 = X2 )
| ( $true
= ( r @ X3 @ X2 ) )
| ( $true
= ( r @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f564,f30]) ).
thf(f756,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X3 @ X2 ) )
| ( $true
= ( r @ X2 @ X1 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X2 )
= $true )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X0 = X3 )
| ( X2 = X3 )
| ( X1 = X2 )
| ( $true
= ( r @ X0 @ X3 ) ) ),
inference(trivial_inequality_removal,[],[f739]) ).
thf(f773,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ X1 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f522,f26]) ).
thf(f775,plain,
! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f522,f35]) ).
thf(f790,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) ) ),
inference(duplicate_literal_removal,[],[f775]) ).
thf(f791,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X1 ) ),
inference(trivial_inequality_removal,[],[f790]) ).
thf(f794,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
!= ( b @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ),
inference(forward_subsumption_resolution,[],[f773,f35]) ).
thf(f796,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ X1 ) ) ) ),
inference(constrained_superposition,[],[f791,f36]) ).
thf(f799,plain,
! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
inference(constrained_superposition,[],[f791,f169]) ).
thf(f803,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ z @ X1 ) )
| ( $true != $true )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(constrained_superposition,[],[f791,f30]) ).
thf(f804,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( z
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) ) ),
inference(trivial_inequality_removal,[],[f796]) ).
thf(f806,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X1 ) )
| ( ( s @ X0 )
= X1 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f803]) ).
thf(f810,plain,
! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f799]) ).
thf(f812,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 ) ),
inference(forward_subsumption_resolution,[],[f804,f26]) ).
thf(f815,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
inference(forward_subsumption_resolution,[],[f810,f26]) ).
thf(f816,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f815,f476]) ).
thf(f818,definition,
( spl0_58
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f819,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f818]) ).
thf(f820,plain,
( ~ spl0_32
| spl0_58
| ~ spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f816,f223,f87,f818,f334]) ).
thf(f832,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_58 ),
inference(constrained_superposition,[],[f27,f819]) ).
thf(f844,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_58 ),
inference(trivial_inequality_removal,[],[f832]) ).
thf(f854,definition,
( spl0_59
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f855,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f854]) ).
thf(f856,plain,
( spl0_28
| spl0_59
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f844,f818,f854,f279]) ).
thf(f863,plain,
! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( ( s @ X1 )
= X0 )
| ( $true != $true )
| ( z = X0 ) ),
inference(constrained_superposition,[],[f806,f30]) ).
thf(f864,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) ) ),
inference(duplicate_literal_removal,[],[f863]) ).
thf(f865,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) ),
inference(trivial_inequality_removal,[],[f864]) ).
thf(f921,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f812,f34]) ).
thf(f924,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f921]) ).
thf(f929,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ),
inference(extensionality_resolution,[],[f924,f26]) ).
thf(f1189,plain,
( ( $true != $true )
| ~ spl0_2
| ~ spl0_35 ),
inference(constrained_superposition,[],[f365,f75]) ).
thf(f1202,plain,
( $false
| ~ spl0_2
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f1189]) ).
thf(f1203,plain,
( ~ spl0_2
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1202]) ).
thf(f1210,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_20
| ~ spl0_43 ),
inference(constrained_superposition,[],[f416,f235]) ).
thf(f1221,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_20
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1210]) ).
thf(f1225,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_4 ),
inference(avatar_component_clause,[],[f81]) ).
thf(f1227,definition,
( spl0_64
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
thf(f1228,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f1227]) ).
thf(f1230,plain,
( ~ spl0_4
| ~ spl0_20
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1221,f415,f234,f81]) ).
thf(f1243,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_5
| ~ spl0_51 ),
inference(constrained_superposition,[],[f88,f591]) ).
thf(f1244,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f27,f591]) ).
thf(f1249,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f1244]) ).
thf(f1252,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_5
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f1243]) ).
thf(f1255,definition,
( spl0_65
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
thf(f1256,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1255]) ).
thf(f1257,plain,
( spl0_35
| spl0_65
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1249,f590,f1255,f364]) ).
thf(f1267,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_48
| ~ spl0_65 ),
inference(constrained_superposition,[],[f1256,f460]) ).
thf(f1268,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_54
| ~ spl0_65 ),
inference(constrained_superposition,[],[f1256,f636]) ).
thf(f1270,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X1 ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X1 ) ) ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f1256,f924]) ).
thf(f1276,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_48
| ~ spl0_65 ),
inference(duplicate_literal_removal,[],[f1267]) ).
thf(f1277,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_48
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f1276]) ).
thf(f1278,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ X1 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_65 ),
inference(duplicate_literal_removal,[],[f1270]) ).
thf(f1279,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X1 ) ) ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f1278]) ).
thf(f1282,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_54
| ~ spl0_65 ),
inference(duplicate_literal_removal,[],[f1268]) ).
thf(f1283,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_54
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f1282]) ).
thf(f1288,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X1 ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f1279,f88]) ).
thf(f1290,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_17
| ~ spl0_54
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f1283,f224]) ).
thf(f1293,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ X1 ) ) ) ) )
| ~ spl0_5
| ~ spl0_51
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f1288,f1252]) ).
thf(f1314,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ z ) ) )
| ~ spl0_17
| ~ spl0_54
| ~ spl0_65 ),
inference(constrained_superposition,[],[f27,f1290]) ).
thf(f1315,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_17
| ~ spl0_54
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f1314]) ).
thf(f1332,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_5
| ~ spl0_17
| ~ spl0_51
| ~ spl0_65 ),
inference(constrained_superposition,[],[f1293,f224]) ).
thf(f1343,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_5
| ~ spl0_17
| ~ spl0_51
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f1332]) ).
thf(f1348,definition,
( spl0_66
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f1349,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f1348]) ).
thf(f1353,plain,
( spl0_66
| ~ spl0_5
| ~ spl0_17
| ~ spl0_51
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f1343,f1255,f590,f223,f87,f1348]) ).
thf(f1354,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f27,f1349]) ).
thf(f1355,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f1354]) ).
thf(f1575,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f29,f713]) ).
thf(f1592,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f1575]) ).
thf(f1597,definition,
( spl0_69
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f1598,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f1597]) ).
thf(f1601,definition,
( spl0_70
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f1602,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f1601]) ).
thf(f1608,definition,
( spl0_72
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
thf(f1609,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_72 ),
inference(avatar_component_clause,[],[f1608]) ).
thf(f1619,definition,
( spl0_75
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f1620,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f1619]) ).
thf(f1623,definition,
( spl0_76
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
thf(f1624,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f1623]) ).
thf(f1630,definition,
( spl0_78
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
thf(f1631,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_78 ),
inference(avatar_component_clause,[],[f1630]) ).
thf(f1640,definition,
( spl0_81
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f1641,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f1640]) ).
thf(f1646,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_46
| ~ spl0_70 ),
inference(constrained_superposition,[],[f658,f1602]) ).
thf(f1649,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_17
| ~ spl0_54
| ~ spl0_65
| ~ spl0_70 ),
inference(constrained_superposition,[],[f1315,f1602]) ).
thf(f1653,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_46
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f1646]) ).
thf(f1654,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_17
| ~ spl0_54
| ~ spl0_65
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f1649]) ).
thf(f1661,definition,
( spl0_82
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
thf(f1662,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f1661]) ).
thf(f1665,definition,
( spl0_83
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f1666,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1665]) ).
thf(f1667,plain,
( spl0_83
| spl0_69
| ~ spl0_46
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f1653,f1601,f451,f1597,f1665]) ).
thf(f1669,definition,
( spl0_84
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f1670,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f1669]) ).
thf(f1671,plain,
( spl0_84
| spl0_82
| ~ spl0_17
| ~ spl0_54
| ~ spl0_65
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f1654,f1601,f1255,f600,f223,f1661,f1669]) ).
thf(f1674,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| spl0_78 ),
inference(constrained_superposition,[],[f1631,f35]) ).
thf(f1677,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_78 ),
inference(trivial_inequality_removal,[],[f1674]) ).
thf(f1680,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46
| ~ spl0_76 ),
inference(constrained_superposition,[],[f658,f1624]) ).
thf(f1681,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_47
| ~ spl0_76 ),
inference(constrained_superposition,[],[f505,f1624]) ).
thf(f1683,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_66
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1355,f1624]) ).
thf(f1684,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_17
| ~ spl0_54
| ~ spl0_65
| ~ spl0_76 ),
inference(constrained_superposition,[],[f1315,f1624]) ).
thf(f1687,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_5
| ~ spl0_76 ),
inference(constrained_superposition,[],[f88,f1624]) ).
thf(f1692,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_46
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f1680]) ).
thf(f1693,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_47
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f1681]) ).
thf(f1694,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_17
| ~ spl0_54
| ~ spl0_65
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f1684]) ).
thf(f1697,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_66
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f1683]) ).
thf(f1698,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_5
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f1687]) ).
thf(f1701,definition,
( spl0_85
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
thf(f1702,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f1701]) ).
thf(f1705,plain,
( spl0_83
| spl0_69
| ~ spl0_46
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1692,f1623,f451,f1597,f1665]) ).
thf(f1706,plain,
( spl0_82
| spl0_84
| ~ spl0_17
| ~ spl0_54
| ~ spl0_65
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1694,f1623,f1255,f600,f223,f1669,f1661]) ).
thf(f1708,plain,
( spl0_33
| spl0_82
| ~ spl0_66
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1697,f1623,f1348,f1661,f348]) ).
thf(f1709,plain,
( $false
| ~ spl0_5
| ~ spl0_70
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f1698,f1602]) ).
thf(f1710,plain,
( ~ spl0_5
| ~ spl0_70
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f1709]) ).
thf(f1715,plain,
( spl0_70
| spl0_78 ),
inference(avatar_split_clause,[],[f1677,f1630,f1601]) ).
thf(f1717,plain,
( spl0_70
| spl0_83
| ~ spl0_47
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1693,f1623,f455,f1665,f1601]) ).
thf(f1721,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f170,f1670]) ).
thf(f1855,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f1721,f31]) ).
thf(f1864,plain,
( $false
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f1855,f25]) ).
thf(f1865,plain,
~ spl0_84,
inference(avatar_contradiction_clause,[],[f1864]) ).
thf(f1875,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_72 ),
inference(constrained_superposition,[],[f1609,f34]) ).
thf(f1877,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_72 ),
inference(trivial_inequality_removal,[],[f1875]) ).
thf(f1911,definition,
( spl0_89
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
thf(f1912,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f1911]) ).
thf(f1949,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_89 ),
inference(constrained_superposition,[],[f169,f1912]) ).
thf(f2065,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f1949,f31]) ).
thf(f2093,plain,
( $false
| ~ spl0_89 ),
inference(forward_subsumption_resolution,[],[f2065,f25]) ).
thf(f2094,plain,
~ spl0_89,
inference(avatar_contradiction_clause,[],[f2093]) ).
thf(f2141,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_2 ),
inference(avatar_component_clause,[],[f74]) ).
thf(f2187,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_17 ),
inference(avatar_component_clause,[],[f223]) ).
thf(f2200,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_18 ),
inference(avatar_component_clause,[],[f227]) ).
thf(f2226,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_17
| ~ spl0_51 ),
inference(constrained_superposition,[],[f2187,f591]) ).
thf(f2229,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_17
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f2226]) ).
thf(f2262,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f57,f349]) ).
thf(f2371,definition,
( spl0_104
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
thf(f2372,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f2371]) ).
thf(f2384,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f2262,f25]) ).
thf(f2388,definition,
( spl0_105
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
thf(f2389,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f2388]) ).
thf(f2409,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f2384,f31]) ).
thf(f2410,plain,
~ spl0_33,
inference(avatar_contradiction_clause,[],[f2409]) ).
thf(f2428,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1666,f392]) ).
thf(f2439,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_37
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2428]) ).
thf(f2443,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_14 ),
inference(avatar_component_clause,[],[f212]) ).
thf(f2450,plain,
( spl0_20
| spl0_17
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f2229,f590,f223,f234]) ).
thf(f2455,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_20 ),
inference(avatar_component_clause,[],[f234]) ).
thf(f2465,definition,
( spl0_107
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f2466,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f2465]) ).
thf(f2470,definition,
( spl0_108
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
thf(f2471,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f2470]) ).
thf(f2473,plain,
( ~ spl0_20
| ~ spl0_37
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2439,f1665,f391,f234]) ).
thf(f2477,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_14
| ~ spl0_26 ),
inference(constrained_superposition,[],[f2443,f270]) ).
thf(f2484,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_14
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f2477]) ).
thf(f2489,plain,
( $false
| spl0_14
| spl0_20
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f2484,f2455]) ).
thf(f2490,plain,
( spl0_14
| spl0_20
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f2489]) ).
thf(f2501,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f2466,f34]) ).
thf(f2504,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f2501]) ).
thf(f2578,definition,
( spl0_110
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
thf(f2579,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_110 ),
inference(avatar_component_clause,[],[f2578]) ).
thf(f2588,definition,
( spl0_113
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
thf(f2589,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_113 ),
inference(avatar_component_clause,[],[f2588]) ).
thf(f2591,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_113 ),
inference(constrained_superposition,[],[f2589,f57]) ).
thf(f2593,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_113 ),
inference(constrained_superposition,[],[f2589,f30]) ).
thf(f2594,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_113 ),
inference(trivial_inequality_removal,[],[f2591]) ).
thf(f2596,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_113 ),
inference(trivial_inequality_removal,[],[f2593]) ).
thf(f2597,plain,
( spl0_69
| spl0_113 ),
inference(avatar_split_clause,[],[f2594,f2588,f1597]) ).
thf(f2599,plain,
( spl0_69
| spl0_89
| spl0_113 ),
inference(avatar_split_clause,[],[f2596,f2588,f1911,f1597]) ).
thf(f2600,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_69
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1666,f1598]) ).
thf(f2601,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_69
| ~ spl0_82 ),
inference(constrained_superposition,[],[f1662,f1598]) ).
thf(f2606,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_69
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2600]) ).
thf(f2607,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_69
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f2601]) ).
thf(f2611,plain,
( $false
| ~ spl0_14
| ~ spl0_69
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f2606,f213]) ).
thf(f2612,plain,
( ~ spl0_14
| ~ spl0_69
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
thf(f2613,plain,
( $false
| ~ spl0_2
| ~ spl0_69
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f2607,f75]) ).
thf(f2614,plain,
( ~ spl0_2
| ~ spl0_69
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f2613]) ).
thf(f2632,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f411,f35]) ).
thf(f2634,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f2632]) ).
thf(f2642,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_42 ),
inference(constrained_superposition,[],[f27,f2634]) ).
thf(f2648,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_42 ),
inference(trivial_inequality_removal,[],[f2642]) ).
thf(f2650,definition,
( spl0_114
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
thf(f2651,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ z ) ) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f2650]) ).
thf(f2652,plain,
( spl0_6
| spl0_114
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f2648,f410,f2650,f90]) ).
thf(f2676,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_69
| ~ spl0_114 ),
inference(constrained_superposition,[],[f2651,f1598]) ).
thf(f2696,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_69
| ~ spl0_114 ),
inference(trivial_inequality_removal,[],[f2676]) ).
thf(f2700,plain,
( $false
| ~ spl0_2
| ~ spl0_69
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f2696,f75]) ).
thf(f2701,plain,
( ~ spl0_2
| ~ spl0_69
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[],[f2700]) ).
thf(f2713,plain,
( ( $true != $true )
| ~ spl0_14
| ~ spl0_35 ),
inference(constrained_superposition,[],[f365,f213]) ).
thf(f2714,plain,
( ( $true != $true )
| ~ spl0_35
| ~ spl0_69 ),
inference(constrained_superposition,[],[f365,f1598]) ).
thf(f2720,plain,
( $false
| ~ spl0_35
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f2714]) ).
thf(f2721,plain,
( ~ spl0_35
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f2720]) ).
thf(f2727,plain,
( $false
| ~ spl0_14
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f2713]) ).
thf(f2728,plain,
( ~ spl0_14
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f2727]) ).
thf(f2747,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_48
| ~ spl0_70 ),
inference(constrained_superposition,[],[f501,f1602]) ).
thf(f2755,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_48
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f2747]) ).
thf(f2765,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_48
| ~ spl0_82 ),
inference(constrained_superposition,[],[f1662,f460]) ).
thf(f2775,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_48
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f2765]) ).
thf(f2786,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_48
| ~ spl0_85 ),
inference(constrained_superposition,[],[f1702,f460]) ).
thf(f2793,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_48
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f2786]) ).
thf(f2813,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_34
| ~ spl0_47 ),
inference(constrained_superposition,[],[f362,f479]) ).
thf(f2814,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_34
| ~ spl0_48 ),
inference(constrained_superposition,[],[f362,f460]) ).
thf(f2828,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_34
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f2814]) ).
thf(f2831,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_34
| ~ spl0_47 ),
inference(duplicate_literal_removal,[],[f2813]) ).
thf(f2832,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_34
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f2831]) ).
thf(f2834,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_17
| ~ spl0_34
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f2832,f224]) ).
thf(f2840,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_34
| ~ spl0_47 ),
inference(constrained_superposition,[],[f27,f2834]) ).
thf(f2846,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_17
| ~ spl0_34
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f2840]) ).
thf(f2848,plain,
( spl0_6
| spl0_114
| ~ spl0_17
| ~ spl0_34
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f2846,f455,f361,f223,f2650,f90]) ).
thf(f2931,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_36 ),
inference(constrained_superposition,[],[f388,f57]) ).
thf(f2932,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_36 ),
inference(trivial_inequality_removal,[],[f2931]) ).
thf(f2941,definition,
( spl0_117
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
thf(f2942,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f2941]) ).
thf(f2943,plain,
( ~ spl0_11
| spl0_117
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f2932,f387,f2941,f202]) ).
thf(f2968,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_108 ),
inference(constrained_superposition,[],[f2471,f1624]) ).
thf(f2971,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_48
| ~ spl0_76 ),
inference(constrained_superposition,[],[f501,f1624]) ).
thf(f2977,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_48
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f2971]) ).
thf(f2979,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_76
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f2968]) ).
thf(f2982,plain,
( spl0_33
| ~ spl0_76
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f2979,f2470,f1623,f348]) ).
thf(f3121,definition,
( spl0_122
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
thf(f3122,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f3121]) ).
thf(f3123,plain,
( spl0_83
| spl0_122
| ~ spl0_48
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f2977,f1623,f459,f3121,f1665]) ).
thf(f3126,plain,
( ~ spl0_17
| spl0_122
| ~ spl0_48
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f2793,f1701,f459,f3121,f223]) ).
thf(f3132,plain,
( spl0_83
| spl0_122
| ~ spl0_48
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f2755,f1601,f459,f3121,f1665]) ).
thf(f3133,plain,
( spl0_122
| spl0_72 ),
inference(avatar_split_clause,[],[f1877,f1608,f3121]) ).
thf(f3139,plain,
( spl0_122
| ~ spl0_18
| ~ spl0_48
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f2775,f1661,f459,f227,f3121]) ).
thf(f3141,plain,
( ~ spl0_17
| spl0_37
| ~ spl0_48
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f1277,f1255,f459,f391,f223]) ).
thf(f3143,definition,
( spl0_125
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
thf(f3144,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f3143]) ).
thf(f3146,plain,
( spl0_53
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f2504,f2465,f597]) ).
thf(f3149,definition,
( spl0_126
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f3150,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f3149]) ).
thf(f3152,plain,
( ~ spl0_17
| spl0_125
| ~ spl0_34
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f2828,f459,f361,f3143,f223]) ).
thf(f3193,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_85
| ~ spl0_122 ),
inference(constrained_superposition,[],[f1702,f3122]) ).
thf(f3203,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_85
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f3193]) ).
thf(f3264,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f497,f30]) ).
thf(f3270,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f3264]) ).
thf(f3276,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f594,f34]) ).
thf(f3277,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f594,f30]) ).
thf(f3278,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f3276]) ).
thf(f3279,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f3277]) ).
thf(f3440,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f3270,f30]) ).
thf(f3441,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f3440]) ).
thf(f3447,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f27,f3441]) ).
thf(f3457,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( z = X0 )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f3447]) ).
thf(f3463,definition,
( spl0_132
<=> ! [X2: $i,X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
!= ( r @ X2 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f3464,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f3463]) ).
thf(f3465,plain,
( spl0_132
| spl0_28
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f3457,f496,f279,f3463]) ).
thf(f4407,definition,
( spl0_136
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f4408,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f4407]) ).
thf(f4424,definition,
( spl0_139
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
thf(f4425,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f4424]) ).
thf(f4428,definition,
( spl0_140
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
thf(f4429,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_140 ),
inference(avatar_component_clause,[],[f4428]) ).
thf(f4434,definition,
( spl0_142
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
thf(f4435,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f4434]) ).
thf(f4448,definition,
( spl0_145
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
thf(f4449,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_145 ),
inference(avatar_component_clause,[],[f4448]) ).
thf(f4494,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( z = X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| spl0_18 ),
inference(constrained_superposition,[],[f2200,f756]) ).
thf(f4495,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ X0 ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| spl0_18 ),
inference(trivial_inequality_removal,[],[f4494]) ).
thf(f4497,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X0 )
| ( z = X1 )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X1 @ X0 ) ) )
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f4495,f26]) ).
thf(f4581,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f395,f170]) ).
thf(f4588,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f4581]) ).
thf(f4593,plain,
( spl0_47
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f4588,f394,f455]) ).
thf(f4612,plain,
( ~ spl0_4
| ~ spl0_85
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f3203,f3121,f1701,f81]) ).
thf(f4694,plain,
( ( $true != $true )
| ~ spl0_70
| ~ spl0_104 ),
inference(constrained_superposition,[],[f2372,f1602]) ).
thf(f4703,plain,
( $false
| ~ spl0_70
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f4694]) ).
thf(f4704,plain,
( ~ spl0_70
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f4703]) ).
thf(f4720,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1666,f270]) ).
thf(f4722,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1666,f3279]) ).
thf(f4725,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_83
| ~ spl0_122 ),
inference(constrained_superposition,[],[f1666,f3122]) ).
thf(f4728,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_26
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f4720]) ).
thf(f4729,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_83
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f4725]) ).
thf(f4733,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f4722]) ).
thf(f4762,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f72,f170]) ).
thf(f4766,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f4762]) ).
thf(f4777,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_1
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f4766,f2187]) ).
thf(f4781,definition,
( spl0_158
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
thf(f4782,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f4781]) ).
thf(f4783,plain,
( spl0_158
| ~ spl0_15
| ~ spl0_1
| spl0_17 ),
inference(avatar_split_clause,[],[f4777,f223,f71,f216,f4781]) ).
thf(f4811,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f3150,f88]) ).
thf(f4843,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_48 ),
inference(constrained_superposition,[],[f27,f460]) ).
thf(f4849,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f4843]) ).
thf(f4905,plain,
( ~ spl0_20
| ~ spl0_83
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f4729,f3121,f1665,f234]) ).
thf(f4918,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_52
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f4733,f26]) ).
thf(f4924,plain,
( spl0_122
| ~ spl0_14
| ~ spl0_26
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f4728,f1665,f269,f212,f3121]) ).
thf(f4925,plain,
( spl0_89
| spl0_122
| ~ spl0_14
| ~ spl0_52
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f4918,f1665,f593,f212,f3121,f1911]) ).
thf(f4936,definition,
( spl0_165
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f4937,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f4936]) ).
thf(f4938,plain,
( spl0_26
| ~ spl0_8
| spl0_165 ),
inference(avatar_split_clause,[],[f159,f4936,f107,f269]) ).
thf(f4961,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_14
| ~ spl0_52 ),
inference(constrained_superposition,[],[f2443,f3278]) ).
thf(f4966,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_14
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f4961]) ).
thf(f4970,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_14
| spl0_20
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f4966,f2455]) ).
thf(f4974,plain,
( spl0_33
| spl0_14
| spl0_20
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f4970,f593,f234,f212,f348]) ).
thf(f4984,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true ) )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f4937,f57]) ).
thf(f4987,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f4937,f30]) ).
thf(f4988,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f4987]) ).
thf(f4989,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f4984]) ).
thf(f5026,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f4989,f35]) ).
thf(f5029,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f5026]) ).
thf(f5049,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f4988,f35]) ).
thf(f5051,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f5049]) ).
thf(f5510,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_43
| ~ spl0_53 ),
inference(constrained_superposition,[],[f416,f598]) ).
thf(f5516,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_43
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f5510]) ).
thf(f5538,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_5
| ~ spl0_117 ),
inference(constrained_superposition,[],[f88,f2942]) ).
thf(f5539,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_117 ),
inference(constrained_superposition,[],[f27,f2942]) ).
thf(f5541,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_5
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f5538]) ).
thf(f5542,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_117 ),
inference(trivial_inequality_removal,[],[f5539]) ).
thf(f5548,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_5
| ~ spl0_117
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f5541,f5029]) ).
thf(f5550,definition,
( spl0_166
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
thf(f5551,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f5550]) ).
thf(f5552,plain,
( spl0_166
| spl0_35
| ~ spl0_117 ),
inference(avatar_split_clause,[],[f5542,f2941,f364,f5550]) ).
thf(f5554,plain,
( spl0_40
| ~ spl0_5
| ~ spl0_117
| ~ spl0_165 ),
inference(avatar_split_clause,[],[f5548,f4936,f2941,f87,f402]) ).
thf(f5555,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_14
| ~ spl0_132 ),
inference(constrained_superposition,[],[f3464,f213]) ).
thf(f5573,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_14
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f5555]) ).
thf(f5583,definition,
( spl0_167
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
thf(f5584,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f5583]) ).
thf(f5594,plain,
( spl0_167
| ~ spl0_14
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f5573,f3463,f212,f5583]) ).
thf(f5596,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_52
| ~ spl0_167 ),
inference(constrained_superposition,[],[f5584,f3279]) ).
thf(f5608,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_52
| ~ spl0_167 ),
inference(duplicate_literal_removal,[],[f5596]) ).
thf(f5609,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_52
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f5608]) ).
thf(f5616,plain,
( spl0_64
| ~ spl0_52
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f5609,f5583,f593,f1227]) ).
thf(f5776,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f27,f452]) ).
thf(f5777,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f5776]) ).
thf(f6866,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_18 ),
inference(equality_factoring,[],[f4497]) ).
thf(f6874,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| spl0_18 ),
inference(duplicate_literal_removal,[],[f6866]) ).
thf(f6875,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_18 ),
inference(trivial_inequality_removal,[],[f6874]) ).
thf(f6897,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f6875,f26]) ).
thf(f6903,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| spl0_18
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f6897,f2455]) ).
thf(f6913,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) )
| spl0_18
| spl0_20 ),
inference(constrained_superposition,[],[f27,f6903]) ).
thf(f6929,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( z = X0 )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_18
| spl0_20 ),
inference(trivial_inequality_removal,[],[f6913]) ).
thf(f6950,definition,
( spl0_173
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
thf(f6951,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f6950]) ).
thf(f6952,plain,
( spl0_173
| spl0_28
| spl0_18
| spl0_20 ),
inference(avatar_split_clause,[],[f6929,f234,f227,f279,f6950]) ).
thf(f7045,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_173 ),
inference(constrained_superposition,[],[f6951,f924]) ).
thf(f7046,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| spl0_18
| spl0_20
| ~ spl0_173 ),
inference(constrained_superposition,[],[f6951,f6903]) ).
thf(f7053,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X1 @ z ) ) )
| spl0_18
| spl0_20
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f7046]) ).
thf(f7054,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X1 ) )
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f7045]) ).
thf(f7063,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X1 ) )
| spl0_18
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f7054,f2200]) ).
thf(f7067,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( ( s @ z )
= X0 ) )
| spl0_18
| spl0_20
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f7063,f2455]) ).
thf(f7203,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| spl0_18
| spl0_20
| ~ spl0_165
| ~ spl0_173 ),
inference(constrained_superposition,[],[f7053,f5051]) ).
thf(f7214,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| spl0_18
| spl0_20
| ~ spl0_165
| ~ spl0_173 ),
inference(duplicate_literal_removal,[],[f7203]) ).
thf(f7215,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= z )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z
= ( s @ z ) ) )
| spl0_18
| spl0_20
| ~ spl0_165
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f7214]) ).
thf(f7228,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z
= ( s @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( X0 = X1 )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) ) )
| spl0_18
| spl0_20
| ~ spl0_173 ),
inference(constrained_superposition,[],[f7067,f924]) ).
thf(f7231,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) ) )
| spl0_18
| spl0_20
| ~ spl0_173 ),
inference(duplicate_literal_removal,[],[f7228]) ).
thf(f7232,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( z
= ( s @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| spl0_18
| spl0_20
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f7231]) ).
thf(f7244,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) ) )
| spl0_18
| spl0_20
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f7232,f26]) ).
thf(f7540,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f29,f714]) ).
thf(f7547,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f7540]) ).
thf(f7563,definition,
( spl0_183
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f7564,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f7563]) ).
thf(f7590,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_145 ),
inference(constrained_superposition,[],[f4449,f56]) ).
thf(f7592,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_145 ),
inference(constrained_superposition,[],[f4449,f30]) ).
thf(f7594,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_145 ),
inference(trivial_inequality_removal,[],[f7590]) ).
thf(f7595,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_145 ),
inference(trivial_inequality_removal,[],[f7592]) ).
thf(f7597,plain,
( spl0_76
| spl0_145 ),
inference(avatar_split_clause,[],[f7594,f4448,f1623]) ).
thf(f7598,plain,
( spl0_76
| spl0_89
| spl0_145 ),
inference(avatar_split_clause,[],[f7595,f4448,f1911,f1623]) ).
thf(f7599,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_140 ),
inference(constrained_superposition,[],[f4429,f169]) ).
thf(f7602,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_140 ),
inference(constrained_superposition,[],[f4429,f30]) ).
thf(f7605,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_140 ),
inference(trivial_inequality_removal,[],[f7599]) ).
thf(f7606,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_140 ),
inference(trivial_inequality_removal,[],[f7602]) ).
thf(f7609,plain,
( spl0_75
| spl0_140 ),
inference(avatar_split_clause,[],[f7605,f4428,f1619]) ).
thf(f7610,plain,
( spl0_75
| spl0_84
| spl0_140 ),
inference(avatar_split_clause,[],[f7606,f4428,f1669,f1619]) ).
thf(f7614,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f4435,f56]) ).
thf(f7619,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f7614]) ).
thf(f7627,plain,
( ~ spl0_30
| spl0_76
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f7619,f4434,f1623,f327]) ).
thf(f7650,definition,
( spl0_190
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f7651,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f7650]) ).
thf(f7734,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_75 ),
inference(avatar_component_clause,[],[f1619]) ).
thf(f8360,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f7651,f30]) ).
thf(f8366,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f7651,f170]) ).
thf(f8370,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f8360]) ).
thf(f8372,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f8366]) ).
thf(f8376,plain,
( ~ spl0_30
| spl0_81
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f8372,f7650,f1640,f327]) ).
thf(f8384,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_105 ),
inference(constrained_superposition,[],[f2389,f169]) ).
thf(f8397,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f8384]) ).
thf(f8402,plain,
( ~ spl0_11
| spl0_75
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f8397,f2388,f1619,f202]) ).
thf(f8467,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f8370,f30]) ).
thf(f8469,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f8467]) ).
thf(f10130,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ ( s @ z ) ) )
| spl0_84 ),
inference(avatar_component_clause,[],[f1669]) ).
thf(f10142,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_84 ),
inference(extensionality_resolution,[],[f924,f10130]) ).
thf(f10143,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_84 ),
inference(extensionality_resolution,[],[f924,f10130]) ).
thf(f10144,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_84 ),
inference(extensionality_resolution,[],[f812,f10130]) ).
thf(f10146,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| spl0_84 ),
inference(extensionality_resolution,[],[f522,f10130]) ).
thf(f10147,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_84 ),
inference(extensionality_resolution,[],[f522,f10130]) ).
thf(f10148,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_84 ),
inference(extensionality_resolution,[],[f171,f10130]) ).
thf(f10149,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_84 ),
inference(extensionality_resolution,[],[f171,f10130]) ).
thf(f10150,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_84 ),
inference(extensionality_resolution,[],[f523,f10130]) ).
thf(f10154,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_84 ),
inference(extensionality_resolution,[],[f54,f10130]) ).
thf(f10155,plain,
( ( $true
= ( 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 ) ) ) ) ) ) )
| spl0_84 ),
inference(extensionality_resolution,[],[f54,f10130]) ).
thf(f10163,definition,
( spl0_221
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
thf(f10164,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f10163]) ).
thf(f10166,definition,
( spl0_222
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f10167,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f10166]) ).
thf(f10168,plain,
( spl0_221
| spl0_222
| spl0_84 ),
inference(avatar_split_clause,[],[f10149,f1669,f10166,f10163]) ).
thf(f10170,definition,
( spl0_223
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f10171,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f10170]) ).
thf(f10172,plain,
( ~ spl0_32
| spl0_223
| spl0_81
| spl0_84 ),
inference(avatar_split_clause,[],[f10147,f1669,f1640,f10170,f334]) ).
thf(f10174,definition,
( spl0_224
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_224])],[avatar_definition]) ).
thf(f10175,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_224 ),
inference(avatar_component_clause,[],[f10174]) ).
thf(f10177,definition,
( spl0_225
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).
thf(f10178,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f10177]) ).
thf(f10179,plain,
( spl0_224
| spl0_225
| spl0_84 ),
inference(avatar_split_clause,[],[f10155,f1669,f10177,f10174]) ).
thf(f10181,definition,
( spl0_226
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).
thf(f10182,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f10181]) ).
thf(f10184,definition,
( spl0_227
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f10185,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f10184]) ).
thf(f10186,plain,
( spl0_226
| spl0_227
| spl0_84 ),
inference(avatar_split_clause,[],[f10148,f1669,f10184,f10181]) ).
thf(f10188,definition,
( spl0_228
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
thf(f10189,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f10188]) ).
thf(f10191,definition,
( spl0_229
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
thf(f10192,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f10191]) ).
thf(f10193,plain,
( spl0_228
| spl0_229
| spl0_84 ),
inference(avatar_split_clause,[],[f10154,f1669,f10191,f10188]) ).
thf(f10239,definition,
( spl0_230
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
thf(f10240,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f10239]) ).
thf(f10242,definition,
( spl0_231
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
thf(f10243,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f10242]) ).
thf(f10245,definition,
( spl0_232
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
thf(f10246,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_232 ),
inference(avatar_component_clause,[],[f10245]) ).
thf(f10249,definition,
( spl0_233
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_233])],[avatar_definition]) ).
thf(f10250,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_233 ),
inference(avatar_component_clause,[],[f10249]) ).
thf(f10252,definition,
( spl0_234
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_234])],[avatar_definition]) ).
thf(f10253,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_234 ),
inference(avatar_component_clause,[],[f10252]) ).
thf(f10255,definition,
( spl0_235
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f10256,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f10255]) ).
thf(f10259,definition,
( spl0_236
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
thf(f10260,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_236 ),
inference(avatar_component_clause,[],[f10259]) ).
thf(f10262,definition,
( spl0_237
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
thf(f10263,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_237 ),
inference(avatar_component_clause,[],[f10262]) ).
thf(f10265,definition,
( spl0_238
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
thf(f10266,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f10265]) ).
thf(f10270,definition,
( spl0_239
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).
thf(f10271,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_239 ),
inference(avatar_component_clause,[],[f10270]) ).
thf(f10273,definition,
( spl0_240
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).
thf(f10274,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f10273]) ).
thf(f10277,definition,
( spl0_241
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).
thf(f10278,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f10277]) ).
thf(f10280,definition,
( spl0_242
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
thf(f10281,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f10280]) ).
thf(f10291,definition,
( spl0_245
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_245])],[avatar_definition]) ).
thf(f10292,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_245 ),
inference(avatar_component_clause,[],[f10291]) ).
thf(f10294,definition,
( spl0_246
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_246])],[avatar_definition]) ).
thf(f10295,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_246 ),
inference(avatar_component_clause,[],[f10294]) ).
thf(f10298,definition,
( spl0_247
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
thf(f10299,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f10298]) ).
thf(f10307,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_239 ),
inference(constrained_superposition,[],[f10271,f30]) ).
thf(f10310,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_239 ),
inference(trivial_inequality_removal,[],[f10307]) ).
thf(f10314,definition,
( spl0_248
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).
thf(f10315,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f10314]) ).
thf(f10316,plain,
( spl0_248
| spl0_238
| spl0_239 ),
inference(avatar_split_clause,[],[f10310,f10270,f10265,f10314]) ).
thf(f10322,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_108
| ~ spl0_238 ),
inference(constrained_superposition,[],[f2471,f10266]) ).
thf(f10344,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_108
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f10322]) ).
thf(f10363,plain,
( spl0_89
| ~ spl0_108
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f10344,f10265,f2470,f1911]) ).
thf(f10366,definition,
( spl0_249
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f10367,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f10366]) ).
thf(f10383,definition,
( spl0_250
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_250])],[avatar_definition]) ).
thf(f10384,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_250 ),
inference(avatar_component_clause,[],[f10383]) ).
thf(f10388,definition,
( spl0_251
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).
thf(f10389,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f10388]) ).
thf(f10407,definition,
( spl0_252
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_252])],[avatar_definition]) ).
thf(f10408,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_252 ),
inference(avatar_component_clause,[],[f10407]) ).
thf(f10417,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_108
| ~ spl0_240 ),
inference(constrained_superposition,[],[f2471,f10274]) ).
thf(f10454,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_108
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f10417]) ).
thf(f10460,definition,
( spl0_253
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_253])],[avatar_definition]) ).
thf(f10461,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f10460]) ).
thf(f10465,plain,
( spl0_248
| ~ spl0_108
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f10454,f10273,f2470,f10314]) ).
thf(f10518,definition,
( spl0_254
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).
thf(f10519,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f10518]) ).
thf(f10555,definition,
( spl0_255
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).
thf(f10556,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f10555]) ).
thf(f10577,definition,
( spl0_256
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).
thf(f10578,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f10577]) ).
thf(f10581,definition,
( spl0_257
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).
thf(f10582,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_257 ),
inference(avatar_component_clause,[],[f10581]) ).
thf(f10732,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_250 ),
inference(avatar_component_clause,[],[f10383]) ).
thf(f10739,definition,
( spl0_258
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).
thf(f10740,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f10739]) ).
thf(f10832,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_251 ),
inference(constrained_superposition,[],[f714,f10389]) ).
thf(f11083,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[],[f10832,f25]) ).
thf(f11140,plain,
( $false
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[],[f11083,f31]) ).
thf(f11141,plain,
~ spl0_251,
inference(avatar_contradiction_clause,[],[f11140]) ).
thf(f11268,definition,
( spl0_265
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f11269,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f11268]) ).
thf(f11279,definition,
( spl0_266
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
thf(f11280,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f11279]) ).
thf(f11402,definition,
( spl0_267
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).
thf(f11403,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_267 ),
inference(avatar_component_clause,[],[f11402]) ).
thf(f11443,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_245 ),
inference(constrained_superposition,[],[f10292,f713]) ).
thf(f11444,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_245 ),
inference(constrained_superposition,[],[f10292,f169]) ).
thf(f11455,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f11443]) ).
thf(f11456,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f11444]) ).
thf(f11459,plain,
( spl0_256
| ~ spl0_145
| ~ spl0_245 ),
inference(avatar_split_clause,[],[f11455,f10291,f4448,f10577]) ).
thf(f11460,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_245
| spl0_250 ),
inference(forward_subsumption_resolution,[],[f11456,f10732]) ).
thf(f11461,plain,
( ~ spl0_11
| ~ spl0_245
| spl0_250 ),
inference(avatar_split_clause,[],[f11460,f10383,f10291,f202]) ).
thf(f11464,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| spl0_18
| spl0_20
| ~ spl0_165
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f7215,f28]) ).
thf(f11513,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| spl0_18
| spl0_20
| ~ spl0_165
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f11464,f26]) ).
thf(f11563,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| spl0_18
| spl0_20
| ~ spl0_165
| ~ spl0_173 ),
inference(forward_subsumption_resolution,[],[f11513,f26]) ).
thf(f11576,definition,
( spl0_281
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_281])],[avatar_definition]) ).
thf(f11577,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_281 ),
inference(avatar_component_clause,[],[f11576]) ).
thf(f11579,plain,
( spl0_2
| spl0_281
| spl0_18
| spl0_20
| ~ spl0_165
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f11563,f6950,f4936,f234,f227,f11576,f74]) ).
thf(f11613,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_190
| ~ spl0_254 ),
inference(constrained_superposition,[],[f10519,f8469]) ).
thf(f11618,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_190
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f11613]) ).
thf(f11634,definition,
( spl0_282
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_282])],[avatar_definition]) ).
thf(f11635,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_282 ),
inference(avatar_component_clause,[],[f11634]) ).
thf(f11636,plain,
( spl0_282
| spl0_246
| spl0_252
| ~ spl0_190
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f11618,f10518,f7650,f10407,f10294,f11634]) ).
thf(f11789,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_248 ),
inference(constrained_superposition,[],[f57,f10315]) ).
thf(f11968,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ~ spl0_248 ),
inference(forward_subsumption_resolution,[],[f11789,f31]) ).
thf(f12009,plain,
( $false
| ~ spl0_248 ),
inference(forward_subsumption_resolution,[],[f11968,f25]) ).
thf(f12010,plain,
~ spl0_248,
inference(avatar_contradiction_clause,[],[f12009]) ).
thf(f12080,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_266 ),
inference(constrained_superposition,[],[f713,f11280]) ).
thf(f12291,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f12080,f25]) ).
thf(f12338,plain,
( $false
| ~ spl0_266 ),
inference(forward_subsumption_resolution,[],[f12291,f31]) ).
thf(f12339,plain,
~ spl0_266,
inference(avatar_contradiction_clause,[],[f12338]) ).
thf(f12419,plain,
( ( ( b @ ( s @ z ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_252 ),
inference(constrained_superposition,[],[f56,f10408]) ).
thf(f12606,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_252 ),
inference(forward_subsumption_resolution,[],[f12419,f25]) ).
thf(f12643,plain,
( $false
| ~ spl0_252 ),
inference(forward_subsumption_resolution,[],[f12606,f31]) ).
thf(f12644,plain,
~ spl0_252,
inference(avatar_contradiction_clause,[],[f12643]) ).
thf(f12658,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_48
| ~ spl0_224 ),
inference(constrained_superposition,[],[f4849,f10175]) ).
thf(f12660,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_18
| spl0_20
| ~ spl0_173
| ~ spl0_224 ),
inference(constrained_superposition,[],[f7067,f10175]) ).
thf(f12662,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_114
| ~ spl0_224 ),
inference(constrained_superposition,[],[f2651,f10175]) ).
thf(f12669,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_34
| ~ spl0_224 ),
inference(constrained_superposition,[],[f362,f10175]) ).
thf(f12679,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_48
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f12658]) ).
thf(f12681,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_18
| spl0_20
| ~ spl0_173
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f12660]) ).
thf(f12688,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_34
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f12669]) ).
thf(f12689,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_114
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f12662]) ).
thf(f12705,definition,
( spl0_284
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).
thf(f12706,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f12705]) ).
thf(f12718,definition,
( spl0_285
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
thf(f12719,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_285 ),
inference(avatar_component_clause,[],[f12718]) ).
thf(f12725,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_238 ),
inference(avatar_component_clause,[],[f10265]) ).
thf(f12727,definition,
( spl0_286
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).
thf(f12728,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f12727]) ).
thf(f12729,plain,
( ~ spl0_238
| spl0_286
| ~ spl0_34
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f12688,f10174,f361,f12727,f10265]) ).
thf(f12735,definition,
( spl0_287
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
thf(f12736,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f12735]) ).
thf(f12738,plain,
( ~ spl0_285
| ~ spl0_114
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f12689,f10174,f2650,f12718]) ).
thf(f12740,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f12718]) ).
thf(f12744,definition,
( spl0_288
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_288])],[avatar_definition]) ).
thf(f12745,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_288 ),
inference(avatar_component_clause,[],[f12744]) ).
thf(f12759,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_125
| spl0_285 ),
inference(constrained_superposition,[],[f12719,f3144]) ).
thf(f12762,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) )
| spl0_18
| spl0_20
| ~ spl0_173
| spl0_285 ),
inference(constrained_superposition,[],[f12719,f7244]) ).
thf(f12765,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| spl0_18
| spl0_20
| ~ spl0_173
| spl0_285 ),
inference(trivial_inequality_removal,[],[f12762]) ).
thf(f12767,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_125
| spl0_285 ),
inference(trivial_inequality_removal,[],[f12759]) ).
thf(f12771,definition,
( spl0_291
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).
thf(f12772,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_291 ),
inference(avatar_component_clause,[],[f12771]) ).
thf(f12773,plain,
( spl0_251
| spl0_288
| spl0_291
| spl0_18
| spl0_20
| ~ spl0_173
| spl0_285 ),
inference(avatar_split_clause,[],[f12765,f12718,f6950,f234,f227,f12771,f12744,f10388]) ).
thf(f12774,plain,
( spl0_288
| ~ spl0_125
| spl0_285 ),
inference(avatar_split_clause,[],[f12767,f12718,f3143,f12744]) ).
thf(f12778,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_18
| spl0_20
| ~ spl0_173
| ~ spl0_224
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f12681,f12719]) ).
thf(f12782,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_18
| spl0_20
| ~ spl0_173
| ~ spl0_224
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f12778,f26]) ).
thf(f12784,plain,
( spl0_89
| spl0_286
| spl0_266
| spl0_18
| spl0_20
| ~ spl0_173
| ~ spl0_224
| spl0_285 ),
inference(avatar_split_clause,[],[f12782,f12718,f10174,f6950,f234,f227,f11279,f12727,f1911]) ).
thf(f12822,plain,
( spl0_255
| spl0_288
| ~ spl0_48
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f12679,f10174,f459,f12744,f10555]) ).
thf(f12870,definition,
( spl0_294
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f12871,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f12870]) ).
thf(f12897,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46
| ~ spl0_286 ),
inference(constrained_superposition,[],[f5777,f12728]) ).
thf(f12898,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_48
| ~ spl0_286 ),
inference(constrained_superposition,[],[f4849,f12728]) ).
thf(f12903,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_48
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f12898]) ).
thf(f12906,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f12897]) ).
thf(f12910,definition,
( spl0_296
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).
thf(f12911,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f12910]) ).
thf(f12912,plain,
( spl0_296
| spl0_287
| ~ spl0_48
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f12903,f12727,f459,f12735,f12910]) ).
thf(f12914,plain,
( spl0_246
| spl0_296
| ~ spl0_46
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f12906,f12727,f451,f12910,f10294]) ).
thf(f12946,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_282 ),
inference(constrained_superposition,[],[f713,f11635]) ).
thf(f13120,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f12946,f31]) ).
thf(f13134,plain,
( $false
| ~ spl0_282 ),
inference(forward_subsumption_resolution,[],[f13120,f25]) ).
thf(f13135,plain,
~ spl0_282,
inference(avatar_contradiction_clause,[],[f13134]) ).
thf(f13142,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_48
| ~ spl0_250 ),
inference(constrained_superposition,[],[f4849,f10384]) ).
thf(f13150,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_48
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f13142]) ).
thf(f13158,plain,
( spl0_255
| spl0_288
| ~ spl0_48
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f13150,f10383,f459,f12744,f10555]) ).
thf(f13171,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_27
| ~ spl0_228 ),
inference(constrained_superposition,[],[f274,f10189]) ).
thf(f13175,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f42,f10189]) ).
thf(f13183,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f13175]) ).
thf(f13186,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_27
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f13171]) ).
thf(f13207,definition,
( spl0_300
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f13208,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_300 ),
inference(avatar_component_clause,[],[f13207]) ).
thf(f13210,definition,
( spl0_301
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_301])],[avatar_definition]) ).
thf(f13211,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_301 ),
inference(avatar_component_clause,[],[f13210]) ).
thf(f13212,plain,
( ~ spl0_300
| spl0_301
| spl0_288
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f13183,f10188,f12744,f13210,f13207]) ).
thf(f13214,definition,
( spl0_302
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).
thf(f13215,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f13214]) ).
thf(f13217,definition,
( spl0_303
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).
thf(f13218,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f13217]) ).
thf(f13220,definition,
( spl0_304
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).
thf(f13221,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_304 ),
inference(avatar_component_clause,[],[f13220]) ).
thf(f13223,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_27
| ~ spl0_43
| ~ spl0_53
| ~ spl0_228 ),
inference(forward_subsumption_resolution,[],[f13186,f5516]) ).
thf(f13225,definition,
( spl0_305
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f13226,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f13225]) ).
thf(f13228,definition,
( spl0_306
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_306])],[avatar_definition]) ).
thf(f13229,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_306 ),
inference(avatar_component_clause,[],[f13228]) ).
thf(f13231,definition,
( spl0_307
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_307])],[avatar_definition]) ).
thf(f13232,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_307 ),
inference(avatar_component_clause,[],[f13231]) ).
thf(f13235,definition,
( spl0_308
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).
thf(f13236,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_308 ),
inference(avatar_component_clause,[],[f13235]) ).
thf(f13239,definition,
( spl0_309
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_309])],[avatar_definition]) ).
thf(f13240,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_309 ),
inference(avatar_component_clause,[],[f13239]) ).
thf(f13245,definition,
( spl0_310
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).
thf(f13246,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_310 ),
inference(avatar_component_clause,[],[f13245]) ).
thf(f13247,plain,
( spl0_288
| ~ spl0_310
| ~ spl0_27
| ~ spl0_43
| ~ spl0_53
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f13223,f10188,f597,f415,f273,f13245,f12744]) ).
thf(f13251,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_46
| ~ spl0_229 ),
inference(constrained_superposition,[],[f5777,f10192]) ).
thf(f13283,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f13251]) ).
thf(f13298,plain,
( spl0_246
| spl0_296
| ~ spl0_46
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f13283,f10191,f451,f12910,f10294]) ).
thf(f13309,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_300 ),
inference(constrained_superposition,[],[f13208,f35]) ).
thf(f13311,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_300 ),
inference(trivial_inequality_removal,[],[f13309]) ).
thf(f13313,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_310 ),
inference(constrained_superposition,[],[f13246,f34]) ).
thf(f13316,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_310 ),
inference(trivial_inequality_removal,[],[f13313]) ).
thf(f13317,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_304 ),
inference(constrained_superposition,[],[f13221,f169]) ).
thf(f13320,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_304 ),
inference(constrained_superposition,[],[f13221,f30]) ).
thf(f13321,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_304 ),
inference(trivial_inequality_removal,[],[f13317]) ).
thf(f13324,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_304 ),
inference(trivial_inequality_removal,[],[f13320]) ).
thf(f13325,plain,
( spl0_247
| spl0_304 ),
inference(avatar_split_clause,[],[f13321,f13220,f10298]) ).
thf(f13328,plain,
( spl0_247
| spl0_266
| spl0_304 ),
inference(avatar_split_clause,[],[f13324,f13220,f11279,f10298]) ).
thf(f13364,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_34
| ~ spl0_302 ),
inference(constrained_superposition,[],[f362,f13215]) ).
thf(f13377,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f13364]) ).
thf(f13380,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_306 ),
inference(constrained_superposition,[],[f13229,f713]) ).
thf(f13389,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_306 ),
inference(trivial_inequality_removal,[],[f13380]) ).
thf(f13394,plain,
( spl0_230
| spl0_306 ),
inference(avatar_split_clause,[],[f13389,f13228,f10239]) ).
thf(f13501,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f10250,f713]) ).
thf(f13506,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_233 ),
inference(constrained_superposition,[],[f10250,f35]) ).
thf(f13511,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f13506]) ).
thf(f13513,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_233 ),
inference(trivial_inequality_removal,[],[f13501]) ).
thf(f13517,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_233
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f13511,f12719]) ).
thf(f13518,plain,
( ~ spl0_140
| spl0_256
| ~ spl0_233 ),
inference(avatar_split_clause,[],[f13513,f10249,f10577,f4428]) ).
thf(f13519,plain,
( ~ spl0_32
| ~ spl0_233
| spl0_285 ),
inference(avatar_split_clause,[],[f13517,f12718,f10249,f334]) ).
thf(f13520,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_228
| ~ spl0_308 ),
inference(constrained_superposition,[],[f13236,f10189]) ).
thf(f13531,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_228
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f13520]) ).
thf(f13538,plain,
( ~ spl0_239
| ~ spl0_228
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f13531,f13235,f10188,f10270]) ).
thf(f13543,plain,
( spl0_286
| spl0_300 ),
inference(avatar_split_clause,[],[f13311,f13207,f12727]) ).
thf(f13551,plain,
( spl0_287
| spl0_310 ),
inference(avatar_split_clause,[],[f13316,f13245,f12735]) ).
thf(f13559,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_34
| ~ spl0_235 ),
inference(constrained_superposition,[],[f362,f10256]) ).
thf(f13568,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_34
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f13559]) ).
thf(f13610,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_59
| ~ spl0_256 ),
inference(constrained_superposition,[],[f855,f10578]) ).
thf(f13621,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_18
| spl0_20
| ~ spl0_173
| ~ spl0_256 ),
inference(constrained_superposition,[],[f7053,f10578]) ).
thf(f13627,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_59
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f13610]) ).
thf(f13636,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_18
| spl0_20
| ~ spl0_173
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f13621]) ).
thf(f13664,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f406,f170]) ).
thf(f13674,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f13664]) ).
thf(f13676,plain,
( spl0_158
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f13674,f405,f4781]) ).
thf(f13688,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_59
| ~ spl0_250
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[],[f13627,f10384]) ).
thf(f13699,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_18
| spl0_20
| ~ spl0_173
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[],[f13636,f26]) ).
thf(f13704,plain,
( spl0_70
| ~ spl0_59
| ~ spl0_250
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f13688,f10577,f10383,f854,f1601]) ).
thf(f13707,definition,
( spl0_316
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_316])],[avatar_definition]) ).
thf(f13708,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_316 ),
inference(avatar_component_clause,[],[f13707]) ).
thf(f13717,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_18
| spl0_20
| ~ spl0_173
| ~ spl0_256
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f13699,f12719]) ).
thf(f13723,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_18
| spl0_20
| spl0_84
| ~ spl0_173
| ~ spl0_256
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f13717,f10130]) ).
thf(f13726,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_18
| spl0_20
| spl0_84
| ~ spl0_173
| ~ spl0_256
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f13723,f26]) ).
thf(f13727,plain,
( spl0_70
| spl0_251
| spl0_18
| spl0_20
| spl0_84
| ~ spl0_173
| ~ spl0_256
| spl0_285 ),
inference(avatar_split_clause,[],[f13726,f12718,f10577,f6950,f1669,f234,f227,f10388,f1601]) ).
thf(f13750,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_48
| ~ spl0_230 ),
inference(constrained_superposition,[],[f4849,f10240]) ).
thf(f13753,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_82
| ~ spl0_230 ),
inference(constrained_superposition,[],[f1662,f10240]) ).
thf(f13755,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_114
| ~ spl0_230 ),
inference(constrained_superposition,[],[f2651,f10240]) ).
thf(f13770,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_48
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f13750]) ).
thf(f13775,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_114
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f13755]) ).
thf(f13782,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_82
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f13753]) ).
thf(f13785,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_286 ),
inference(avatar_component_clause,[],[f12727]) ).
thf(f13788,plain,
( spl0_296
| spl0_287
| ~ spl0_48
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f13770,f10239,f459,f12735,f12910]) ).
thf(f13790,plain,
( ~ spl0_286
| ~ spl0_114
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f13775,f10239,f2650,f12727]) ).
thf(f13795,plain,
( ~ spl0_286
| ~ spl0_82
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f13782,f10239,f1661,f12727]) ).
thf(f13805,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_18
| spl0_20
| ~ spl0_173
| spl0_286 ),
inference(constrained_superposition,[],[f13785,f7244]) ).
thf(f13808,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_18
| spl0_20
| ~ spl0_173
| spl0_286 ),
inference(trivial_inequality_removal,[],[f13805]) ).
thf(f13812,definition,
( spl0_318
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_318])],[avatar_definition]) ).
thf(f13813,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f13812]) ).
thf(f13814,plain,
( spl0_318
| spl0_266
| spl0_287
| spl0_18
| spl0_20
| ~ spl0_173
| spl0_286 ),
inference(avatar_split_clause,[],[f13808,f12727,f6950,f234,f227,f12735,f11279,f13812]) ).
thf(f13831,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_225
| ~ spl0_245 ),
inference(constrained_superposition,[],[f10292,f10178]) ).
thf(f13841,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f158,f10178]) ).
thf(f13843,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f49,f10178]) ).
thf(f13852,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_225
| ~ spl0_245 ),
inference(trivial_inequality_removal,[],[f13831]) ).
thf(f13855,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f13841]) ).
thf(f13857,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f13843]) ).
thf(f13869,plain,
( ~ spl0_237
| ~ spl0_225
| ~ spl0_245 ),
inference(avatar_split_clause,[],[f13852,f10291,f10177,f10262]) ).
thf(f13893,plain,
( spl0_285
| ~ spl0_17
| ~ spl0_34
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f13377,f13214,f361,f223,f12718]) ).
thf(f13905,plain,
( spl0_245
| ~ spl0_239
| spl0_246
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f13855,f10177,f10294,f10270,f10291]) ).
thf(f13908,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_34
| ~ spl0_235
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f13568,f13785]) ).
thf(f13924,plain,
( ~ spl0_17
| ~ spl0_34
| ~ spl0_235
| spl0_286 ),
inference(avatar_split_clause,[],[f13908,f12727,f10255,f361,f223]) ).
thf(f13949,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_316 ),
inference(constrained_superposition,[],[f13708,f34]) ).
thf(f13951,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_316 ),
inference(trivial_inequality_removal,[],[f13949]) ).
thf(f13953,plain,
( spl0_288
| spl0_316 ),
inference(avatar_split_clause,[],[f13951,f13707,f12744]) ).
thf(f13955,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_236 ),
inference(constrained_superposition,[],[f10260,f35]) ).
thf(f13957,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_236 ),
inference(trivial_inequality_removal,[],[f13955]) ).
thf(f13959,plain,
( spl0_285
| spl0_236 ),
inference(avatar_split_clause,[],[f13957,f10259,f12718]) ).
thf(f14052,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f497,f169]) ).
thf(f14056,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f14052]) ).
thf(f14152,plain,
( ( $true != $true )
| ~ spl0_285
| ~ spl0_294 ),
inference(constrained_superposition,[],[f12871,f12740]) ).
thf(f14160,plain,
( $false
| ~ spl0_285
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f14152]) ).
thf(f14161,plain,
( ~ spl0_285
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f14160]) ).
thf(f14229,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f7651,f34]) ).
thf(f14243,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f14229]) ).
thf(f14265,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_301 ),
inference(constrained_superposition,[],[f13211,f713]) ).
thf(f14273,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f14265]) ).
thf(f14281,plain,
( ~ spl0_78
| spl0_230
| ~ spl0_301 ),
inference(avatar_split_clause,[],[f14273,f13210,f10239,f1630]) ).
thf(f14321,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f69,f10189]) ).
thf(f14341,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f14321]) ).
thf(f14348,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_228
| spl0_238 ),
inference(forward_subsumption_resolution,[],[f14341,f12725]) ).
thf(f14350,plain,
( ~ spl0_237
| spl0_309
| ~ spl0_228
| spl0_238 ),
inference(avatar_split_clause,[],[f14348,f10265,f10188,f13239,f10262]) ).
thf(f14353,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_253 ),
inference(constrained_superposition,[],[f10461,f924]) ).
thf(f14355,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_253
| ~ spl0_287 ),
inference(constrained_superposition,[],[f10461,f12736]) ).
thf(f14357,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_253
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f14355]) ).
thf(f14360,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f14353]) ).
thf(f14361,plain,
( $false
| ~ spl0_4
| ~ spl0_253
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f14357,f82]) ).
thf(f14362,plain,
( ~ spl0_4
| ~ spl0_253
| ~ spl0_287 ),
inference(avatar_contradiction_clause,[],[f14361]) ).
thf(f14400,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_53
| spl0_250 ),
inference(constrained_superposition,[],[f10732,f598]) ).
thf(f14406,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_53
| spl0_250 ),
inference(trivial_inequality_removal,[],[f14400]) ).
thf(f14410,plain,
( spl0_288
| ~ spl0_53
| spl0_250 ),
inference(avatar_split_clause,[],[f14406,f10383,f597,f12744]) ).
thf(f14412,plain,
( spl0_107
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f14056,f496,f2465]) ).
thf(f14414,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_249
| ~ spl0_288 ),
inference(constrained_superposition,[],[f10367,f12745]) ).
thf(f14425,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_249
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f14414]) ).
thf(f14437,plain,
( $false
| ~ spl0_4
| ~ spl0_249
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f14425,f82]) ).
thf(f14438,plain,
( ~ spl0_4
| ~ spl0_249
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f14437]) ).
thf(f14465,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_225
| ~ spl0_242 ),
inference(constrained_superposition,[],[f10281,f10178]) ).
thf(f14478,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_225
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f14465]) ).
thf(f14485,plain,
( ~ spl0_306
| ~ spl0_225
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f14478,f10280,f10177,f13228]) ).
thf(f14526,plain,
( spl0_122
| ~ spl0_8
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f14243,f7650,f107,f3121]) ).
thf(f14528,definition,
( spl0_328
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
thf(f14529,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f14528]) ).
thf(f14530,plain,
( ~ spl0_32
| spl0_75
| ~ spl0_72
| spl0_328
| spl0_84 ),
inference(avatar_split_clause,[],[f10150,f1669,f14528,f1608,f1619,f334]) ).
thf(f14531,plain,
( spl0_223
| ~ spl0_72
| spl0_75
| spl0_84 ),
inference(avatar_split_clause,[],[f10146,f1669,f1619,f1608,f10170]) ).
thf(f14540,plain,
( ( $true != $true )
| ~ spl0_17
| ~ spl0_28 ),
inference(constrained_superposition,[],[f280,f224]) ).
thf(f14545,plain,
( $false
| ~ spl0_17
| ~ spl0_28 ),
inference(trivial_inequality_removal,[],[f14540]) ).
thf(f14546,plain,
( ~ spl0_17
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f14545]) ).
thf(f14557,plain,
( $false
| ~ spl0_18
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f228,f280]) ).
thf(f14558,plain,
( ~ spl0_18
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f14557]) ).
thf(f14563,plain,
( spl0_286
| ~ spl0_236
| spl0_231
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f13857,f10177,f10242,f10259,f12727]) ).
thf(f14564,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_5
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f14360,f88]) ).
thf(f14565,plain,
( spl0_108
| ~ spl0_5
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f4811,f3149,f87,f2470]) ).
thf(f14566,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_28
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f460,f280]) ).
thf(f14567,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_158 ),
inference(forward_subsumption_resolution,[],[f4782,f280]) ).
thf(f14569,definition,
( spl0_332
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).
thf(f14570,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f14569]) ).
thf(f14571,plain,
( spl0_332
| spl0_287
| spl0_286
| ~ spl0_5
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f14564,f10460,f87,f12727,f12735,f14569]) ).
thf(f14572,plain,
( spl0_37
| ~ spl0_28
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f14566,f459,f279,f391]) ).
thf(f14585,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_28
| ~ spl0_158 ),
inference(constrained_superposition,[],[f14567,f56]) ).
thf(f14589,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f14585]) ).
thf(f14605,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_5
| ~ spl0_28
| ~ spl0_158 ),
inference(constrained_superposition,[],[f88,f14589]) ).
thf(f14607,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_28
| ~ spl0_158 ),
inference(constrained_superposition,[],[f27,f14589]) ).
thf(f14608,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_5
| ~ spl0_28
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f14605]) ).
thf(f14612,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_28
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f14607]) ).
thf(f14614,definition,
( spl0_333
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_333])],[avatar_definition]) ).
thf(f14615,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f14614]) ).
thf(f14616,plain,
( spl0_35
| spl0_333
| ~ spl0_28
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f14612,f4781,f279,f14614,f364]) ).
thf(f14617,plain,
( ( $true != $true )
| ~ spl0_5
| ~ spl0_28
| ~ spl0_158
| ~ spl0_285 ),
inference(constrained_superposition,[],[f14608,f12740]) ).
thf(f14621,plain,
( $false
| ~ spl0_5
| ~ spl0_28
| ~ spl0_158
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f14617]) ).
thf(f14622,plain,
( ~ spl0_5
| ~ spl0_28
| ~ spl0_158
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[],[f14621]) ).
thf(f14625,plain,
( spl0_70
| spl0_122
| spl0_256
| spl0_285
| spl0_84 ),
inference(avatar_split_clause,[],[f10143,f1669,f12718,f10577,f3121,f1601]) ).
thf(f14629,plain,
( ~ spl0_72
| spl0_285
| spl0_256
| spl0_70
| spl0_84 ),
inference(avatar_split_clause,[],[f10144,f1669,f1601,f10577,f12718,f1608]) ).
thf(f14630,plain,
( spl0_285
| spl0_307
| spl0_288
| spl0_70
| spl0_84 ),
inference(avatar_split_clause,[],[f10142,f1669,f1601,f12744,f13231,f12718]) ).
thf(f14672,definition,
( spl0_334
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_334])],[avatar_definition]) ).
thf(f14673,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_334 ),
inference(avatar_component_clause,[],[f14672]) ).
thf(f14689,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_238 ),
inference(constrained_superposition,[],[f12725,f924]) ).
thf(f14691,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_238 ),
inference(trivial_inequality_removal,[],[f14689]) ).
thf(f14699,definition,
( spl0_335
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).
thf(f14700,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f14699]) ).
thf(f14747,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f416,f924]) ).
thf(f14753,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f14747]) ).
thf(f14755,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_5
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f14753,f88]) ).
thf(f14784,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_288
| ~ spl0_333 ),
inference(constrained_superposition,[],[f14615,f12745]) ).
thf(f14785,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_288
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f14784]) ).
thf(f14791,plain,
( $false
| ~ spl0_4
| ~ spl0_288
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f14785,f82]) ).
thf(f14792,plain,
( ~ spl0_4
| ~ spl0_288
| ~ spl0_333 ),
inference(avatar_contradiction_clause,[],[f14791]) ).
thf(f14826,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_70 ),
inference(avatar_component_clause,[],[f1601]) ).
thf(f14842,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_241
| ~ spl0_335 ),
inference(constrained_superposition,[],[f14700,f10278]) ).
thf(f14847,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_241
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f14842]) ).
thf(f15205,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_229
| ~ spl0_334 ),
inference(constrained_superposition,[],[f14673,f10192]) ).
thf(f15210,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_229
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f15205]) ).
thf(f15213,plain,
( $false
| ~ spl0_229
| ~ spl0_286
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f15210,f12728]) ).
thf(f15214,plain,
( ~ spl0_229
| ~ spl0_286
| ~ spl0_334 ),
inference(avatar_contradiction_clause,[],[f15213]) ).
thf(f15219,plain,
( ~ spl0_70
| ~ spl0_241
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f14847,f14699,f10277,f1601]) ).
thf(f15248,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_224
| ~ spl0_296 ),
inference(constrained_superposition,[],[f12911,f10175]) ).
thf(f15254,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_224
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f15248]) ).
thf(f15256,plain,
( $false
| ~ spl0_224
| ~ spl0_250
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f15254,f10384]) ).
thf(f15257,plain,
( ~ spl0_224
| ~ spl0_250
| ~ spl0_296 ),
inference(avatar_contradiction_clause,[],[f15256]) ).
thf(f15258,plain,
( ( $true != $true )
| ~ spl0_229
| ~ spl0_254 ),
inference(constrained_superposition,[],[f10519,f10192]) ).
thf(f15259,plain,
( ( $true != $true )
| ~ spl0_254
| ~ spl0_286 ),
inference(constrained_superposition,[],[f10519,f12728]) ).
thf(f15263,plain,
( $false
| ~ spl0_254
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f15259]) ).
thf(f15264,plain,
( ~ spl0_254
| ~ spl0_286 ),
inference(avatar_contradiction_clause,[],[f15263]) ).
thf(f15268,plain,
( $false
| ~ spl0_229
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f15258]) ).
thf(f15269,plain,
( ~ spl0_229
| ~ spl0_254 ),
inference(avatar_contradiction_clause,[],[f15268]) ).
thf(f15271,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_229
| ~ spl0_258 ),
inference(constrained_superposition,[],[f10740,f10192]) ).
thf(f15272,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_258 ),
inference(constrained_superposition,[],[f10740,f924]) ).
thf(f15274,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_229
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f15271]) ).
thf(f15275,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f15272]) ).
thf(f15277,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_82
| ~ spl0_258 ),
inference(forward_subsumption_resolution,[],[f15275,f1662]) ).
thf(f15278,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_82
| ~ spl0_258
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f15277,f12719]) ).
thf(f15280,definition,
( spl0_339
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).
thf(f15281,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f15280]) ).
thf(f15282,plain,
( spl0_288
| spl0_339
| ~ spl0_82
| ~ spl0_258
| spl0_285 ),
inference(avatar_split_clause,[],[f15278,f12718,f10739,f1661,f15280,f12744]) ).
thf(f15283,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_81
| ~ spl0_339 ),
inference(constrained_superposition,[],[f15281,f1641]) ).
thf(f15286,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_81
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f15283]) ).
thf(f15289,plain,
( spl0_89
| ~ spl0_81
| ~ spl0_339 ),
inference(avatar_split_clause,[],[f15286,f15280,f1640,f1911]) ).
thf(f15303,definition,
( spl0_341
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_341])],[avatar_definition]) ).
thf(f15304,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ~ spl0_341 ),
inference(avatar_component_clause,[],[f15303]) ).
thf(f15322,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f1592,f10182]) ).
thf(f15349,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f15322]) ).
thf(f15352,definition,
( spl0_343
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).
thf(f15353,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_343 ),
inference(avatar_component_clause,[],[f15352]) ).
thf(f15355,definition,
( spl0_344
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).
thf(f15356,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_344 ),
inference(avatar_component_clause,[],[f15355]) ).
thf(f15359,definition,
( spl0_345
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_345])],[avatar_definition]) ).
thf(f15360,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_345 ),
inference(avatar_component_clause,[],[f15359]) ).
thf(f15362,definition,
( spl0_346
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).
thf(f15363,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_346 ),
inference(avatar_component_clause,[],[f15362]) ).
thf(f15366,definition,
( spl0_347
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f15367,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f15366]) ).
thf(f15369,definition,
( spl0_348
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_348])],[avatar_definition]) ).
thf(f15370,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_348 ),
inference(avatar_component_clause,[],[f15369]) ).
thf(f15374,definition,
( spl0_349
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_349])],[avatar_definition]) ).
thf(f15375,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_349 ),
inference(avatar_component_clause,[],[f15374]) ).
thf(f15381,definition,
( spl0_350
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_350])],[avatar_definition]) ).
thf(f15382,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_350 ),
inference(avatar_component_clause,[],[f15381]) ).
thf(f15384,definition,
( spl0_351
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_351])],[avatar_definition]) ).
thf(f15385,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_351 ),
inference(avatar_component_clause,[],[f15384]) ).
thf(f15388,definition,
( spl0_352
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_352])],[avatar_definition]) ).
thf(f15389,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_352 ),
inference(avatar_component_clause,[],[f15388]) ).
thf(f15391,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_226
| ~ spl0_229
| ~ spl0_258 ),
inference(forward_subsumption_resolution,[],[f15349,f15274]) ).
thf(f15401,plain,
( ~ spl0_346
| spl0_349
| ~ spl0_226
| ~ spl0_229
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f15391,f10739,f10191,f10181,f15374,f15362]) ).
thf(f15402,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_344 ),
inference(constrained_superposition,[],[f15356,f35]) ).
thf(f15403,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_344 ),
inference(constrained_superposition,[],[f15356,f30]) ).
thf(f15404,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_344 ),
inference(trivial_inequality_removal,[],[f15402]) ).
thf(f15405,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_344 ),
inference(trivial_inequality_removal,[],[f15403]) ).
thf(f15408,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_344 ),
inference(forward_subsumption_resolution,[],[f15405,f26]) ).
thf(f15409,plain,
( $false
| ~ spl0_341
| spl0_344 ),
inference(forward_subsumption_resolution,[],[f15408,f15304]) ).
thf(f15410,plain,
( ~ spl0_341
| spl0_344 ),
inference(avatar_contradiction_clause,[],[f15409]) ).
thf(f15415,definition,
( spl0_356
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_356])],[avatar_definition]) ).
thf(f15416,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_356 ),
inference(avatar_component_clause,[],[f15415]) ).
thf(f15418,plain,
( spl0_356
| spl0_344 ),
inference(avatar_split_clause,[],[f15404,f15355,f15415]) ).
thf(f15431,definition,
( spl0_358
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_358])],[avatar_definition]) ).
thf(f15432,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_358 ),
inference(avatar_component_clause,[],[f15431]) ).
thf(f15434,definition,
( spl0_359
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_359])],[avatar_definition]) ).
thf(f15435,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_359 ),
inference(avatar_component_clause,[],[f15434]) ).
thf(f15447,definition,
( spl0_360
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_360])],[avatar_definition]) ).
thf(f15448,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_360 ),
inference(avatar_component_clause,[],[f15447]) ).
thf(f15452,definition,
( spl0_361
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_361])],[avatar_definition]) ).
thf(f15453,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_361 ),
inference(avatar_component_clause,[],[f15452]) ).
thf(f15457,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_346 ),
inference(constrained_superposition,[],[f15363,f171]) ).
thf(f15462,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_346 ),
inference(trivial_inequality_removal,[],[f15457]) ).
thf(f15466,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_346 ),
inference(forward_subsumption_resolution,[],[f15462,f26]) ).
thf(f15468,definition,
( spl0_362
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_362])],[avatar_definition]) ).
thf(f15469,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_362 ),
inference(avatar_component_clause,[],[f15468]) ).
thf(f15476,plain,
( spl0_362
| spl0_346 ),
inference(avatar_split_clause,[],[f15466,f15362,f15468]) ).
thf(f15477,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_339
| ~ spl0_362 ),
inference(constrained_superposition,[],[f15281,f15469]) ).
thf(f15486,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_339
| ~ spl0_362 ),
inference(trivial_inequality_removal,[],[f15477]) ).
thf(f15488,definition,
( spl0_364
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_364])],[avatar_definition]) ).
thf(f15489,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_364 ),
inference(avatar_component_clause,[],[f15488]) ).
thf(f15491,plain,
( spl0_282
| ~ spl0_339
| ~ spl0_362 ),
inference(avatar_split_clause,[],[f15486,f15468,f15280,f11634]) ).
thf(f15492,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_343 ),
inference(constrained_superposition,[],[f15353,f713]) ).
thf(f15501,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_343 ),
inference(trivial_inequality_removal,[],[f15492]) ).
thf(f15508,plain,
( ~ spl0_78
| spl0_362
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f15501,f15352,f15468,f1630]) ).
thf(f15516,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f439,f10167]) ).
thf(f15519,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f69,f10167]) ).
thf(f15532,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f15516]) ).
thf(f15539,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f15519]) ).
thf(f15545,definition,
( spl0_365
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
thf(f15546,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f15545]) ).
thf(f15549,definition,
( spl0_366
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f15550,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f15549]) ).
thf(f15561,definition,
( spl0_369
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_369])],[avatar_definition]) ).
thf(f15562,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_369 ),
inference(avatar_component_clause,[],[f15561]) ).
thf(f15563,plain,
( spl0_303
| spl0_369
| ~ spl0_304
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f15532,f10166,f13220,f15561,f13217]) ).
thf(f15565,definition,
( spl0_370
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_370])],[avatar_definition]) ).
thf(f15566,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_370 ),
inference(avatar_component_clause,[],[f15565]) ).
thf(f15572,plain,
( ~ spl0_237
| spl0_366
| spl0_359
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f15539,f10166,f15434,f15549,f10262]) ).
thf(f15582,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| spl0_370 ),
inference(constrained_superposition,[],[f15566,f34]) ).
thf(f15584,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_370 ),
inference(trivial_inequality_removal,[],[f15582]) ).
thf(f15586,plain,
( spl0_352
| spl0_370 ),
inference(avatar_split_clause,[],[f15584,f15565,f15388]) ).
thf(f15610,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_303 ),
inference(constrained_superposition,[],[f13218,f713]) ).
thf(f15623,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f15610]) ).
thf(f15626,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_229
| ~ spl0_258
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f15623,f15274]) ).
thf(f15627,plain,
( ~ spl0_140
| ~ spl0_229
| ~ spl0_258
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f15626,f13217,f10739,f10191,f4428]) ).
thf(f15635,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_227
| ~ spl0_335 ),
inference(constrained_superposition,[],[f14700,f10185]) ).
thf(f15639,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_227
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f15635]) ).
thf(f15713,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_358 ),
inference(constrained_superposition,[],[f714,f15432]) ).
thf(f15783,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_69 ),
inference(avatar_component_clause,[],[f1597]) ).
thf(f15809,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f15713,f31]) ).
thf(f15834,plain,
( $false
| ~ spl0_358 ),
inference(forward_subsumption_resolution,[],[f15809,f25]) ).
thf(f15835,plain,
~ spl0_358,
inference(avatar_contradiction_clause,[],[f15834]) ).
thf(f15854,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_305 ),
inference(constrained_superposition,[],[f13226,f56]) ).
thf(f15866,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f15854]) ).
thf(f15868,plain,
( spl0_240
| ~ spl0_113
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f15866,f13225,f2588,f10273]) ).
thf(f15906,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_257 ),
inference(constrained_superposition,[],[f714,f10582]) ).
thf(f16028,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_76 ),
inference(avatar_component_clause,[],[f1623]) ).
thf(f16039,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_257 ),
inference(forward_subsumption_resolution,[],[f15906,f31]) ).
thf(f16060,plain,
( $false
| ~ spl0_257 ),
inference(forward_subsumption_resolution,[],[f16039,f25]) ).
thf(f16061,plain,
~ spl0_257,
inference(avatar_contradiction_clause,[],[f16060]) ).
thf(f16086,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_231 ),
inference(constrained_superposition,[],[f10243,f34]) ).
thf(f16090,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_231 ),
inference(constrained_superposition,[],[f10243,f714]) ).
thf(f16091,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_231 ),
inference(constrained_superposition,[],[f10243,f170]) ).
thf(f16092,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_231 ),
inference(constrained_superposition,[],[f10243,f57]) ).
thf(f16093,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f16092]) ).
thf(f16094,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f16091]) ).
thf(f16099,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f16086]) ).
thf(f16100,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f16090]) ).
thf(f16101,plain,
( ~ spl0_239
| spl0_246
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f16093,f10242,f10294,f10270]) ).
thf(f16102,plain,
( ~ spl0_234
| spl0_235
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f16094,f10242,f10255,f10252]) ).
thf(f16103,plain,
( spl0_287
| ~ spl0_236
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f16099,f10242,f10259,f12735]) ).
thf(f16104,plain,
( ~ spl0_232
| spl0_241
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f16100,f10242,f10277,f10245]) ).
thf(f16106,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_227
| ~ spl0_265 ),
inference(constrained_superposition,[],[f11269,f10185]) ).
thf(f16111,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f16106]) ).
thf(f16113,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_265 ),
inference(constrained_superposition,[],[f16111,f924]) ).
thf(f16116,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f16113]) ).
thf(f16124,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_227
| ~ spl0_265
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f16116,f15639]) ).
thf(f16125,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_265
| spl0_285
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f16124,f12719]) ).
thf(f16126,plain,
( spl0_282
| spl0_288
| ~ spl0_227
| ~ spl0_265
| spl0_285
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f16125,f14699,f12718,f11268,f10184,f12744,f11634]) ).
thf(f16191,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f15367,f713]) ).
thf(f16192,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f15367,f169]) ).
thf(f16204,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f16191]) ).
thf(f16206,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f16192]) ).
thf(f16207,plain,
( spl0_362
| ~ spl0_145
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f16204,f15366,f4448,f15468]) ).
thf(f16209,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_82
| ~ spl0_362 ),
inference(constrained_superposition,[],[f1662,f15469]) ).
thf(f16214,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_82
| ~ spl0_362 ),
inference(trivial_inequality_removal,[],[f16209]) ).
thf(f16219,plain,
( spl0_360
| ~ spl0_11
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f16206,f15366,f202,f15447]) ).
thf(f16230,definition,
( spl0_381
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_381])],[avatar_definition]) ).
thf(f16231,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f16230]) ).
thf(f16233,plain,
( $false
| ~ spl0_82
| ~ spl0_356
| ~ spl0_362 ),
inference(forward_subsumption_resolution,[],[f16214,f15416]) ).
thf(f16234,plain,
( ~ spl0_82
| ~ spl0_356
| ~ spl0_362 ),
inference(avatar_contradiction_clause,[],[f16233]) ).
thf(f16240,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_360 ),
inference(constrained_superposition,[],[f416,f15448]) ).
thf(f16243,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_43
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f16240]) ).
thf(f16247,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_43
| ~ spl0_360 ),
inference(constrained_superposition,[],[f16243,f924]) ).
thf(f16249,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_43
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f16247]) ).
thf(f16268,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_221
| ~ spl0_381 ),
inference(constrained_superposition,[],[f16231,f10164]) ).
thf(f16272,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_221
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f16268]) ).
thf(f16273,plain,
( $false
| ~ spl0_221
| ~ spl0_286
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f16272,f12728]) ).
thf(f16274,plain,
( ~ spl0_221
| ~ spl0_286
| ~ spl0_381 ),
inference(avatar_contradiction_clause,[],[f16273]) ).
thf(f16276,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_226
| ~ spl0_347 ),
inference(constrained_superposition,[],[f15367,f10182]) ).
thf(f16285,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f158,f10182]) ).
thf(f16286,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f69,f10182]) ).
thf(f16297,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f16285]) ).
thf(f16306,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_226
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f16276]) ).
thf(f16309,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f16286]) ).
thf(f16318,plain,
( ~ spl0_237
| ~ spl0_226
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f16306,f15366,f10181,f10262]) ).
thf(f16319,plain,
( ~ spl0_348
| spl0_240
| spl0_349
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f16309,f10181,f15374,f10273,f15369]) ).
thf(f16324,plain,
( spl0_347
| spl0_246
| ~ spl0_348
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f16297,f10181,f15369,f10294,f15366]) ).
thf(f16327,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_246
| ~ spl0_335 ),
inference(constrained_superposition,[],[f14700,f10295]) ).
thf(f16334,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_246
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f16327]) ).
thf(f16337,plain,
( $false
| ~ spl0_2
| ~ spl0_246
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f16334,f75]) ).
thf(f16338,plain,
( ~ spl0_2
| ~ spl0_246
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f16337]) ).
thf(f16355,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f266,f56]) ).
thf(f16356,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f16355]) ).
thf(f16403,plain,
( $false
| ~ spl0_6
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f3122,f91]) ).
thf(f16404,plain,
( ~ spl0_6
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f16403]) ).
thf(f16405,plain,
( $false
| ~ spl0_6
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f392,f91]) ).
thf(f16406,plain,
( ~ spl0_6
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f16405]) ).
thf(f16411,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f929,f91]) ).
thf(f16416,plain,
( $false
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f235,f91]) ).
thf(f16417,plain,
( ~ spl0_6
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f16416]) ).
thf(f16424,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_238 ),
inference(forward_subsumption_resolution,[],[f14691,f26]) ).
thf(f16425,plain,
( spl0_2
| spl0_9
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f16411,f90,f130,f74]) ).
thf(f16442,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_238
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f16424,f12719]) ).
thf(f16448,plain,
( spl0_9
| spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f929,f74,f81,f130]) ).
thf(f16450,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_5
| spl0_18
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f14755,f2200]) ).
thf(f16452,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_43
| ~ spl0_360 ),
inference(forward_subsumption_resolution,[],[f16249,f26]) ).
thf(f16454,plain,
( spl0_2
| spl0_4
| spl0_238
| spl0_285 ),
inference(avatar_split_clause,[],[f16442,f12718,f10265,f81,f74]) ).
thf(f16456,plain,
( spl0_108
| spl0_20
| ~ spl0_5
| spl0_18
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f16450,f415,f227,f87,f234,f2470]) ).
thf(f16457,plain,
( spl0_4
| spl0_2
| spl0_356
| ~ spl0_43
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f16452,f15447,f415,f15415,f74,f81]) ).
thf(f16478,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_265 ),
inference(constrained_superposition,[],[f11269,f392]) ).
thf(f16484,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_37
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f16478]) ).
thf(f16489,plain,
( $false
| ~ spl0_37
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f16484,f392]) ).
thf(f16490,plain,
( ~ spl0_37
| ~ spl0_265 ),
inference(avatar_contradiction_clause,[],[f16489]) ).
thf(f16509,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_255
| ~ spl0_288 ),
inference(constrained_superposition,[],[f10556,f12745]) ).
thf(f16512,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_255
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f16509]) ).
thf(f16515,plain,
( $false
| ~ spl0_20
| ~ spl0_255
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f16512,f235]) ).
thf(f16516,plain,
( ~ spl0_20
| ~ spl0_255
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f16515]) ).
thf(f16525,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| spl0_18
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f14753,f2200]) ).
thf(f16526,plain,
( spl0_126
| spl0_20
| spl0_18
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f16525,f415,f227,f234,f3149]) ).
thf(f16558,plain,
( $false
| ~ spl0_6
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f12736,f91]) ).
thf(f16559,plain,
( ~ spl0_6
| ~ spl0_287 ),
inference(avatar_contradiction_clause,[],[f16558]) ).
thf(f16567,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f395,f56]) ).
thf(f16577,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f16567]) ).
thf(f16613,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_250 ),
inference(constrained_superposition,[],[f416,f10384]) ).
thf(f16619,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_43
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f16613]) ).
thf(f16622,plain,
( ~ spl0_238
| ~ spl0_43
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f16619,f10383,f415,f10265]) ).
thf(f16674,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f16356,f34]) ).
thf(f16676,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f16674]) ).
thf(f16678,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ~ spl0_6
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f16676,f91]) ).
thf(f16682,plain,
( ( $true != $true )
| ~ spl0_6
| ~ spl0_25
| spl0_238 ),
inference(constrained_superposition,[],[f12725,f16678]) ).
thf(f16683,plain,
( ( $true != $true )
| ~ spl0_6
| ~ spl0_25
| spl0_76 ),
inference(constrained_superposition,[],[f16028,f16678]) ).
thf(f16685,plain,
( $false
| ~ spl0_6
| ~ spl0_25
| spl0_238 ),
inference(trivial_inequality_removal,[],[f16682]) ).
thf(f16686,plain,
( ~ spl0_6
| ~ spl0_25
| spl0_238 ),
inference(avatar_contradiction_clause,[],[f16685]) ).
thf(f16689,plain,
( $false
| ~ spl0_6
| ~ spl0_25
| spl0_76 ),
inference(trivial_inequality_removal,[],[f16683]) ).
thf(f16690,plain,
( ~ spl0_6
| ~ spl0_25
| spl0_76 ),
inference(avatar_contradiction_clause,[],[f16689]) ).
thf(f16697,plain,
( spl0_17
| ~ spl0_8
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f16577,f394,f107,f223]) ).
thf(f16698,plain,
( $false
| ~ spl0_6
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f12745,f91]) ).
thf(f16699,plain,
( ~ spl0_6
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f16698]) ).
thf(f16729,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_24
| ~ spl0_265 ),
inference(constrained_superposition,[],[f11269,f263]) ).
thf(f16731,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_24
| ~ spl0_255 ),
inference(constrained_superposition,[],[f10556,f263]) ).
thf(f16734,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_24
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f16731]) ).
thf(f16735,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_24
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f16729]) ).
thf(f16739,plain,
( $false
| ~ spl0_24
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f16734,f263]) ).
thf(f16740,plain,
( ~ spl0_24
| ~ spl0_255 ),
inference(avatar_contradiction_clause,[],[f16739]) ).
thf(f16741,plain,
( $false
| ~ spl0_24
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f16735,f263]) ).
thf(f16742,plain,
( ~ spl0_24
| ~ spl0_265 ),
inference(avatar_contradiction_clause,[],[f16741]) ).
thf(f16778,plain,
( $false
| ~ spl0_40
| spl0_69 ),
inference(forward_subsumption_resolution,[],[f15783,f403]) ).
thf(f16779,plain,
( ~ spl0_40
| spl0_69 ),
inference(avatar_contradiction_clause,[],[f16778]) ).
thf(f16788,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f266,f56]) ).
thf(f16791,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f16788]) ).
thf(f16804,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_237 ),
inference(constrained_superposition,[],[f10263,f36]) ).
thf(f16807,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_237 ),
inference(trivial_inequality_removal,[],[f16804]) ).
thf(f16810,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_237
| ~ spl0_254 ),
inference(forward_subsumption_resolution,[],[f16807,f10519]) ).
thf(f16814,plain,
( $false
| spl0_237
| ~ spl0_254 ),
inference(forward_subsumption_resolution,[],[f16810,f26]) ).
thf(f16815,plain,
( spl0_237
| ~ spl0_254 ),
inference(avatar_contradiction_clause,[],[f16814]) ).
thf(f16836,plain,
( $false
| ~ spl0_240
| ~ spl0_254 ),
inference(forward_subsumption_resolution,[],[f10274,f10519]) ).
thf(f16837,plain,
( ~ spl0_240
| ~ spl0_254 ),
inference(avatar_contradiction_clause,[],[f16836]) ).
thf(f16846,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ z ) )
| spl0_232 ),
inference(constrained_superposition,[],[f10246,f171]) ).
thf(f16848,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_232 ),
inference(constrained_superposition,[],[f10246,f36]) ).
thf(f16852,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_232 ),
inference(trivial_inequality_removal,[],[f16846]) ).
thf(f16853,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_232 ),
inference(trivial_inequality_removal,[],[f16848]) ).
thf(f16857,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_232 ),
inference(forward_subsumption_resolution,[],[f16852,f26]) ).
thf(f16858,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_84
| spl0_232 ),
inference(forward_subsumption_resolution,[],[f16853,f10130]) ).
thf(f16863,plain,
( $false
| spl0_232
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f16857,f12871]) ).
thf(f16864,plain,
( spl0_232
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f16863]) ).
thf(f16865,plain,
( $false
| spl0_84
| spl0_232
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f16858,f12871]) ).
thf(f16866,plain,
( spl0_84
| spl0_232
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f16865]) ).
thf(f16867,plain,
( $false
| ~ spl0_247
| ~ spl0_254 ),
inference(forward_subsumption_resolution,[],[f10299,f10519]) ).
thf(f16868,plain,
( ~ spl0_247
| ~ spl0_254 ),
inference(avatar_contradiction_clause,[],[f16867]) ).
thf(f16871,plain,
( $false
| ~ spl0_256
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f10578,f12871]) ).
thf(f16872,plain,
( ~ spl0_256
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f16871]) ).
thf(f16881,plain,
( ( $true != $true )
| ~ spl0_75
| ~ spl0_104 ),
inference(constrained_superposition,[],[f2372,f1620]) ).
thf(f16882,plain,
( ( $true != $true )
| ~ spl0_104
| ~ spl0_307 ),
inference(constrained_superposition,[],[f2372,f13232]) ).
thf(f16886,plain,
( $false
| ~ spl0_104
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f16882]) ).
thf(f16887,plain,
( ~ spl0_104
| ~ spl0_307 ),
inference(avatar_contradiction_clause,[],[f16886]) ).
thf(f16889,plain,
( $false
| ~ spl0_75
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f16881]) ).
thf(f16890,plain,
( ~ spl0_75
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f16889]) ).
thf(f16918,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_40
| ~ spl0_334 ),
inference(constrained_superposition,[],[f14673,f403]) ).
thf(f16923,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_40
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f16918]) ).
thf(f16926,plain,
( $false
| ~ spl0_2
| ~ spl0_40
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f16923,f75]) ).
thf(f16927,plain,
( ~ spl0_2
| ~ spl0_40
| ~ spl0_334 ),
inference(avatar_contradiction_clause,[],[f16926]) ).
thf(f16928,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(constrained_superposition,[],[f16791,f34]) ).
thf(f16930,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_25 ),
inference(trivial_inequality_removal,[],[f16928]) ).
thf(f16932,plain,
( spl0_51
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f16930,f265,f590]) ).
thf(f16943,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f14529,f57]) ).
thf(f16951,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f16943]) ).
thf(f16961,plain,
( $false
| ~ spl0_224
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f10175,f12871]) ).
thf(f16962,plain,
( ~ spl0_224
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f16961]) ).
thf(f16963,plain,
( $false
| ~ spl0_28
| ~ spl0_235 ),
inference(forward_subsumption_resolution,[],[f10256,f280]) ).
thf(f16964,plain,
( ~ spl0_28
| ~ spl0_235 ),
inference(avatar_contradiction_clause,[],[f16963]) ).
thf(f16965,plain,
( $false
| ~ spl0_104
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f10278,f2372]) ).
thf(f16966,plain,
( ~ spl0_104
| ~ spl0_241 ),
inference(avatar_contradiction_clause,[],[f16965]) ).
thf(f16967,plain,
( $false
| ~ spl0_238
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f10266,f12871]) ).
thf(f16968,plain,
( ~ spl0_238
| ~ spl0_294 ),
inference(avatar_contradiction_clause,[],[f16967]) ).
thf(f16985,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( $true != $true ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f27,f4408]) ).
thf(f16986,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X2 @ z ) ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f16985]) ).
thf(f16987,plain,
( spl0_139
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f16986,f4407,f4424]) ).
thf(f17014,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_75 ),
inference(constrained_superposition,[],[f7734,f924]) ).
thf(f17017,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_75 ),
inference(trivial_inequality_removal,[],[f17014]) ).
thf(f17128,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f1592,f10178]) ).
thf(f17132,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f69,f10178]) ).
thf(f17144,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f17128]) ).
thf(f17148,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f17132]) ).
thf(f17158,plain,
( spl0_231
| spl0_230
| ~ spl0_232
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f17144,f10177,f10245,f10239,f10242]) ).
thf(f17160,plain,
( spl0_231
| ~ spl0_239
| spl0_240
| ~ spl0_225 ),
inference(avatar_split_clause,[],[f17148,f10177,f10273,f10270,f10242]) ).
thf(f17164,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f791,f10189]) ).
thf(f17167,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f7547,f10189]) ).
thf(f17168,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f1592,f10189]) ).
thf(f17170,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f199,f10189]) ).
thf(f17171,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f158,f10189]) ).
thf(f17173,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f49,f10189]) ).
thf(f17180,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f17168]) ).
thf(f17181,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f17164]) ).
thf(f17184,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f17167]) ).
thf(f17188,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f17171]) ).
thf(f17193,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f17170]) ).
thf(f17194,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f17173]) ).
thf(f17197,plain,
( spl0_309
| ~ spl0_306
| spl0_256
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f17180,f10188,f10577,f13228,f13239]) ).
thf(f17199,plain,
( spl0_305
| ~ spl0_306
| spl0_307
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f17184,f10188,f13231,f13228,f13225]) ).
thf(f17201,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_228
| spl0_250 ),
inference(forward_subsumption_resolution,[],[f17193,f10732]) ).
thf(f17202,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_228
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f17194,f12719]) ).
thf(f17203,plain,
( ~ spl0_304
| spl0_309
| ~ spl0_228
| spl0_250 ),
inference(avatar_split_clause,[],[f17201,f10383,f10188,f13239,f13220]) ).
thf(f17204,plain,
( ~ spl0_300
| spl0_309
| ~ spl0_228
| spl0_285 ),
inference(avatar_split_clause,[],[f17202,f12718,f10188,f13239,f13207]) ).
thf(f17211,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_241
| ~ spl0_253 ),
inference(constrained_superposition,[],[f10461,f10278]) ).
thf(f17212,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_235
| ~ spl0_253 ),
inference(constrained_superposition,[],[f10461,f10256]) ).
thf(f17219,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_235
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f17212]) ).
thf(f17221,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_241
| ~ spl0_253 ),
inference(trivial_inequality_removal,[],[f17211]) ).
thf(f17222,plain,
( $false
| ~ spl0_17
| ~ spl0_235
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f17219,f224]) ).
thf(f17223,plain,
( ~ spl0_17
| ~ spl0_235
| ~ spl0_253 ),
inference(avatar_contradiction_clause,[],[f17222]) ).
thf(f17224,plain,
( $false
| ~ spl0_76
| ~ spl0_241
| ~ spl0_253 ),
inference(forward_subsumption_resolution,[],[f17221,f1624]) ).
thf(f17225,plain,
( ~ spl0_76
| ~ spl0_241
| ~ spl0_253 ),
inference(avatar_contradiction_clause,[],[f17224]) ).
thf(f17249,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_247 ),
inference(constrained_superposition,[],[f250,f10299]) ).
thf(f17251,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f17249]) ).
thf(f17254,plain,
( $false
| ~ spl0_22
| ~ spl0_247
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f17251,f12728]) ).
thf(f17255,plain,
( ~ spl0_22
| ~ spl0_247
| ~ spl0_286 ),
inference(avatar_contradiction_clause,[],[f17254]) ).
thf(f17262,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_85
| ~ spl0_256 ),
inference(constrained_superposition,[],[f1702,f10578]) ).
thf(f17269,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_85
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f17262]) ).
thf(f17271,plain,
( $false
| ~ spl0_85
| ~ spl0_238
| ~ spl0_256 ),
inference(forward_subsumption_resolution,[],[f17269,f10266]) ).
thf(f17272,plain,
( ~ spl0_85
| ~ spl0_238
| ~ spl0_256 ),
inference(avatar_contradiction_clause,[],[f17271]) ).
thf(f17278,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_228
| ~ spl0_303 ),
inference(constrained_superposition,[],[f13218,f10189]) ).
thf(f17279,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_303 ),
inference(constrained_superposition,[],[f13218,f713]) ).
thf(f17292,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_228
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f17278]) ).
thf(f17294,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f17279]) ).
thf(f17296,plain,
( ~ spl0_234
| ~ spl0_228
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f17292,f13217,f10188,f10252]) ).
thf(f17297,plain,
( ~ spl0_140
| spl0_230
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f17294,f13217,f10239,f4428]) ).
thf(f17299,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_4
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f16951,f1225]) ).
thf(f17300,plain,
( spl0_284
| ~ spl0_237
| spl0_308
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f17188,f10188,f13235,f10262,f12705]) ).
thf(f17302,plain,
( spl0_69
| spl0_4
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f17299,f14528,f81,f1597]) ).
thf(f17446,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_76 ),
inference(constrained_superposition,[],[f16028,f924]) ).
thf(f17448,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_76 ),
inference(trivial_inequality_removal,[],[f17446]) ).
thf(f17452,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_69 ),
inference(constrained_superposition,[],[f15783,f924]) ).
thf(f17454,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_69 ),
inference(trivial_inequality_removal,[],[f17452]) ).
thf(f17481,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_5
| ~ spl0_240 ),
inference(constrained_superposition,[],[f88,f10274]) ).
thf(f17484,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_5
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f17481]) ).
thf(f17486,plain,
( $false
| ~ spl0_5
| ~ spl0_240
| ~ spl0_286 ),
inference(forward_subsumption_resolution,[],[f17484,f12728]) ).
thf(f17487,plain,
( ~ spl0_5
| ~ spl0_240
| ~ spl0_286 ),
inference(avatar_contradiction_clause,[],[f17486]) ).
thf(f17499,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_228
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f17181,f12719]) ).
thf(f17505,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_228
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f17499,f26]) ).
thf(f17506,plain,
( ~ spl0_316
| spl0_286
| ~ spl0_228
| spl0_285 ),
inference(avatar_split_clause,[],[f17505,f12718,f10188,f12727,f13707]) ).
thf(f17574,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_301 ),
inference(constrained_superposition,[],[f13211,f169]) ).
thf(f17583,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f17574]) ).
thf(f17589,plain,
( spl0_247
| ~ spl0_15
| ~ spl0_301 ),
inference(avatar_split_clause,[],[f17583,f13210,f216,f10298]) ).
thf(f17592,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_235
| ~ spl0_335 ),
inference(constrained_superposition,[],[f14700,f10256]) ).
thf(f17599,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_235
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f17592]) ).
thf(f17600,plain,
( $false
| ~ spl0_18
| ~ spl0_235
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f17599,f228]) ).
thf(f17601,plain,
( ~ spl0_18
| ~ spl0_235
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f17600]) ).
thf(f17619,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f49,f10178]) ).
thf(f17627,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f17619]) ).
thf(f17643,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_225
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f17627,f13785]) ).
thf(f17647,plain,
( spl0_231
| ~ spl0_236
| ~ spl0_225
| spl0_286 ),
inference(avatar_split_clause,[],[f17643,f12727,f10177,f10259,f10242]) ).
thf(f17649,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_229
| ~ spl0_249 ),
inference(constrained_superposition,[],[f10367,f10192]) ).
thf(f17652,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_229
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f17649]) ).
thf(f17654,plain,
( $false
| ~ spl0_229
| ~ spl0_240
| ~ spl0_249 ),
inference(forward_subsumption_resolution,[],[f17652,f10274]) ).
thf(f17655,plain,
( ~ spl0_229
| ~ spl0_240
| ~ spl0_249 ),
inference(avatar_contradiction_clause,[],[f17654]) ).
thf(f17657,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_229
| ~ spl0_249 ),
inference(constrained_superposition,[],[f17652,f924]) ).
thf(f17659,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_229
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f17657]) ).
thf(f17661,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_229
| ~ spl0_249 ),
inference(forward_subsumption_resolution,[],[f17659,f26]) ).
thf(f17663,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_4
| ~ spl0_229
| ~ spl0_249 ),
inference(forward_subsumption_resolution,[],[f17661,f1225]) ).
thf(f17664,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_4
| ~ spl0_229
| ~ spl0_249
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f17663,f13785]) ).
thf(f17665,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_229
| ~ spl0_249
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f17664,f2141]) ).
thf(f17666,plain,
( spl0_2
| spl0_4
| ~ spl0_229
| ~ spl0_249
| spl0_286 ),
inference(avatar_contradiction_clause,[],[f17665]) ).
thf(f17673,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_43
| ~ spl0_247 ),
inference(constrained_superposition,[],[f416,f10299]) ).
thf(f17677,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_43
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f17673]) ).
thf(f17681,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_43
| ~ spl0_247 ),
inference(constrained_superposition,[],[f17677,f924]) ).
thf(f17683,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_43
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f17681]) ).
thf(f17685,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_2
| ~ spl0_43
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f17683,f2141]) ).
thf(f17687,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_2
| spl0_4
| ~ spl0_43
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f17685,f1225]) ).
thf(f17688,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_2
| spl0_4
| ~ spl0_43
| ~ spl0_247
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f17687,f13785]) ).
thf(f17689,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_43
| ~ spl0_247
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f17688,f26]) ).
thf(f17690,plain,
( spl0_2
| spl0_4
| ~ spl0_43
| ~ spl0_247
| spl0_286 ),
inference(avatar_contradiction_clause,[],[f17689]) ).
thf(f17738,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_302
| ~ spl0_334 ),
inference(constrained_superposition,[],[f14673,f13215]) ).
thf(f17745,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_302
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f17738]) ).
thf(f17746,plain,
( $false
| ~ spl0_18
| ~ spl0_302
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f17745,f228]) ).
thf(f17747,plain,
( ~ spl0_18
| ~ spl0_302
| ~ spl0_334 ),
inference(avatar_contradiction_clause,[],[f17746]) ).
thf(f17756,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_5
| ~ spl0_359 ),
inference(constrained_superposition,[],[f88,f15435]) ).
thf(f17761,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_5
| ~ spl0_359 ),
inference(trivial_inequality_removal,[],[f17756]) ).
thf(f17765,plain,
( $false
| ~ spl0_5
| ~ spl0_356
| ~ spl0_359 ),
inference(forward_subsumption_resolution,[],[f17761,f15416]) ).
thf(f17766,plain,
( ~ spl0_5
| ~ spl0_356
| ~ spl0_359 ),
inference(avatar_contradiction_clause,[],[f17765]) ).
thf(f17778,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_230
| ~ spl0_339 ),
inference(constrained_superposition,[],[f15281,f10240]) ).
thf(f17782,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_230
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f17778]) ).
thf(f17785,plain,
( spl0_257
| ~ spl0_230
| ~ spl0_339 ),
inference(avatar_split_clause,[],[f17782,f15280,f10239,f10581]) ).
thf(f17805,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_369
| ~ spl0_381 ),
inference(constrained_superposition,[],[f16231,f15562]) ).
thf(f17812,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_369
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f17805]) ).
thf(f17814,plain,
( $false
| ~ spl0_18
| ~ spl0_369
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f17812,f228]) ).
thf(f17815,plain,
( ~ spl0_18
| ~ spl0_369
| ~ spl0_381 ),
inference(avatar_contradiction_clause,[],[f17814]) ).
thf(f17818,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_229
| ~ spl0_255 ),
inference(constrained_superposition,[],[f10556,f10192]) ).
thf(f17824,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_229
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f17818]) ).
thf(f17832,definition,
( spl0_391
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_391])],[avatar_definition]) ).
thf(f17833,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_391 ),
inference(avatar_component_clause,[],[f17832]) ).
thf(f17844,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_69 ),
inference(forward_subsumption_resolution,[],[f17454,f26]) ).
thf(f17848,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f365,f865]) ).
thf(f17852,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f17848]) ).
thf(f17856,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f17852,f365]) ).
thf(f17923,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f14529,f170]) ).
thf(f17933,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f17923]) ).
thf(f17935,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_296 ),
inference(constrained_superposition,[],[f12911,f924]) ).
thf(f17941,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f17935]) ).
thf(f17943,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_22
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f17941,f250]) ).
thf(f17944,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_22
| spl0_286
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f17943,f13785]) ).
thf(f17946,definition,
( spl0_392
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_392])],[avatar_definition]) ).
thf(f17947,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_392 ),
inference(avatar_component_clause,[],[f17946]) ).
thf(f17948,plain,
( spl0_392
| spl0_287
| ~ spl0_22
| spl0_286
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f17944,f12910,f12727,f249,f12735,f17946]) ).
thf(f17973,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_258
| ~ spl0_288 ),
inference(constrained_superposition,[],[f10740,f12745]) ).
thf(f17976,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_258
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f17973]) ).
thf(f17978,plain,
( $false
| ~ spl0_122
| ~ spl0_258
| ~ spl0_288 ),
inference(forward_subsumption_resolution,[],[f17976,f3122]) ).
thf(f17979,plain,
( ~ spl0_122
| ~ spl0_258
| ~ spl0_288 ),
inference(avatar_contradiction_clause,[],[f17978]) ).
thf(f18077,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_235
| ~ spl0_267 ),
inference(constrained_superposition,[],[f11403,f10256]) ).
thf(f18079,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_235
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f18077]) ).
thf(f18084,plain,
( $false
| ~ spl0_81
| ~ spl0_235
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f18079,f1641]) ).
thf(f18085,plain,
( ~ spl0_81
| ~ spl0_235
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f18084]) ).
thf(f18088,definition,
( spl0_395
<=> ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_395])],[avatar_definition]) ).
thf(f18089,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_395 ),
inference(avatar_component_clause,[],[f18088]) ).
thf(f18167,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f11269,f924]) ).
thf(f18168,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_265 ),
inference(constrained_superposition,[],[f11269,f10185]) ).
thf(f18172,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f18168]) ).
thf(f18175,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f18167]) ).
thf(f18177,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_265
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f18175,f14673]) ).
thf(f18178,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_265
| spl0_286
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f18177,f13785]) ).
thf(f18180,definition,
( spl0_398
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_398])],[avatar_definition]) ).
thf(f18181,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_398 ),
inference(avatar_component_clause,[],[f18180]) ).
thf(f18182,plain,
( spl0_287
| spl0_398
| ~ spl0_265
| spl0_286
| ~ spl0_334 ),
inference(avatar_split_clause,[],[f18178,f14672,f12727,f11268,f18180,f12735]) ).
thf(f18200,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_309 ),
inference(constrained_superposition,[],[f13240,f713]) ).
thf(f18203,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_309 ),
inference(constrained_superposition,[],[f13240,f56]) ).
thf(f18208,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f18200]) ).
thf(f18211,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_309 ),
inference(trivial_inequality_removal,[],[f18203]) ).
thf(f18217,definition,
( spl0_400
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_400])],[avatar_definition]) ).
thf(f18218,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_400 ),
inference(avatar_component_clause,[],[f18217]) ).
thf(f18219,plain,
( spl0_230
| ~ spl0_400
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f18208,f13239,f18217,f10239]) ).
thf(f18221,definition,
( spl0_401
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_401])],[avatar_definition]) ).
thf(f18222,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_401 ),
inference(avatar_component_clause,[],[f18221]) ).
thf(f18223,plain,
( spl0_240
| ~ spl0_401
| ~ spl0_309 ),
inference(avatar_split_clause,[],[f18211,f13239,f18221,f10273]) ).
thf(f18240,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_400 ),
inference(constrained_superposition,[],[f18218,f54]) ).
thf(f18247,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_400 ),
inference(trivial_inequality_removal,[],[f18240]) ).
thf(f18253,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_104
| spl0_400 ),
inference(forward_subsumption_resolution,[],[f18247,f2372]) ).
thf(f18259,plain,
( spl0_33
| ~ spl0_104
| spl0_400 ),
inference(avatar_split_clause,[],[f18253,f18217,f2371,f348]) ).
thf(f18305,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_349 ),
inference(constrained_superposition,[],[f15375,f713]) ).
thf(f18315,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_349 ),
inference(trivial_inequality_removal,[],[f18305]) ).
thf(f18322,definition,
( spl0_402
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_402])],[avatar_definition]) ).
thf(f18323,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_402 ),
inference(avatar_component_clause,[],[f18322]) ).
thf(f18324,plain,
( spl0_362
| ~ spl0_402
| ~ spl0_349 ),
inference(avatar_split_clause,[],[f18315,f15374,f18322,f15468]) ).
thf(f18334,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f15550,f170]) ).
thf(f18341,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f18334]) ).
thf(f18346,plain,
( ~ spl0_304
| spl0_369
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f18341,f15549,f15561,f13220]) ).
thf(f19104,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_35
| ~ spl0_255 ),
inference(constrained_superposition,[],[f10556,f17856]) ).
thf(f19109,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_35
| ~ spl0_296 ),
inference(constrained_superposition,[],[f12911,f17856]) ).
thf(f19113,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_35
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f19109]) ).
thf(f19117,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_35
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f19104]) ).
thf(f19132,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f19117,f26]) ).
thf(f19134,plain,
( spl0_20
| spl0_81
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f17933,f14528,f1640,f234]) ).
thf(f19136,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_35
| spl0_286
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f19113,f13785]) ).
thf(f19139,plain,
( $false
| ~ spl0_229
| ~ spl0_247
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f10299,f17824]) ).
thf(f19140,plain,
( ~ spl0_229
| ~ spl0_247
| ~ spl0_255 ),
inference(avatar_contradiction_clause,[],[f19139]) ).
thf(f19143,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_35
| ~ spl0_255
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f19132,f12719]) ).
thf(f19148,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_35
| spl0_286
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f19136,f26]) ).
thf(f19156,plain,
( ~ spl0_20
| spl0_248
| ~ spl0_35
| ~ spl0_255
| spl0_285 ),
inference(avatar_split_clause,[],[f19143,f12718,f10555,f364,f10314,f234]) ).
thf(f19157,plain,
( spl0_252
| ~ spl0_20
| ~ spl0_35
| spl0_286
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f19148,f12910,f12727,f364,f234,f10407]) ).
thf(f19160,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_288 ),
inference(avatar_component_clause,[],[f12744]) ).
thf(f19164,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_360 ),
inference(avatar_component_clause,[],[f15447]) ).
thf(f19180,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_5
| ~ spl0_17 ),
inference(constrained_superposition,[],[f88,f224]) ).
thf(f19182,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_5
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f19180]) ).
thf(f19184,plain,
( $false
| ~ spl0_5
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f19182,f228]) ).
thf(f19185,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f19184]) ).
thf(f19189,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_35
| spl0_288 ),
inference(constrained_superposition,[],[f19160,f17856]) ).
thf(f19192,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35
| spl0_288 ),
inference(trivial_inequality_removal,[],[f19189]) ).
thf(f19194,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_35
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f19192,f26]) ).
thf(f19195,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35
| spl0_285
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f19194,f12719]) ).
thf(f19196,plain,
( spl0_248
| ~ spl0_35
| spl0_285
| spl0_288 ),
inference(avatar_split_clause,[],[f19195,f12744,f12718,f364,f10314]) ).
thf(f19214,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_401 ),
inference(constrained_superposition,[],[f18222,f57]) ).
thf(f19216,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_401 ),
inference(constrained_superposition,[],[f18222,f30]) ).
thf(f19218,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_401 ),
inference(trivial_inequality_removal,[],[f19214]) ).
thf(f19219,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_401 ),
inference(trivial_inequality_removal,[],[f19216]) ).
thf(f19221,plain,
( spl0_284
| spl0_401 ),
inference(avatar_split_clause,[],[f19218,f18221,f12705]) ).
thf(f19222,plain,
( spl0_248
| spl0_284
| spl0_401 ),
inference(avatar_split_clause,[],[f19219,f18221,f12705,f10314]) ).
thf(f19245,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_307
| ~ spl0_398 ),
inference(constrained_superposition,[],[f18181,f13232]) ).
thf(f19246,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_307
| ~ spl0_334 ),
inference(constrained_superposition,[],[f14673,f13232]) ).
thf(f19250,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_307
| ~ spl0_398 ),
inference(trivial_inequality_removal,[],[f19245]) ).
thf(f19251,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_307
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f19246]) ).
thf(f19254,plain,
( spl0_251
| ~ spl0_307
| ~ spl0_398 ),
inference(avatar_split_clause,[],[f19250,f18180,f13231,f10388]) ).
thf(f19255,plain,
( $false
| ~ spl0_70
| ~ spl0_307
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f19251,f1602]) ).
thf(f19256,plain,
( ~ spl0_70
| ~ spl0_307
| ~ spl0_334 ),
inference(avatar_contradiction_clause,[],[f19255]) ).
thf(f19265,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_400 ),
inference(constrained_superposition,[],[f18218,f714]) ).
thf(f19268,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_400 ),
inference(constrained_superposition,[],[f18218,f36]) ).
thf(f19272,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_400 ),
inference(trivial_inequality_removal,[],[f19268]) ).
thf(f19273,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_400 ),
inference(trivial_inequality_removal,[],[f19265]) ).
thf(f19284,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f10367,f924]) ).
thf(f19285,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_229
| ~ spl0_249 ),
inference(constrained_superposition,[],[f10367,f10192]) ).
thf(f19288,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f19284]) ).
thf(f19290,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_229
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f19285]) ).
thf(f19292,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_5
| ~ spl0_249 ),
inference(forward_subsumption_resolution,[],[f19288,f88]) ).
thf(f19293,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_5
| ~ spl0_249
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f19292,f19160]) ).
thf(f19294,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_5
| ~ spl0_249
| spl0_285
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f19293,f12719]) ).
thf(f19304,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_255 ),
inference(constrained_superposition,[],[f10556,f924]) ).
thf(f19309,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_255 ),
inference(trivial_inequality_removal,[],[f19304]) ).
thf(f19312,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_22
| ~ spl0_255 ),
inference(forward_subsumption_resolution,[],[f19309,f250]) ).
thf(f19695,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_256 ),
inference(avatar_component_clause,[],[f10577]) ).
thf(f19719,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ z ) )
| spl0_89 ),
inference(avatar_component_clause,[],[f1911]) ).
thf(f19756,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_89 ),
inference(extensionality_resolution,[],[f924,f19719]) ).
thf(f19757,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_89 ),
inference(extensionality_resolution,[],[f924,f19719]) ).
thf(f19761,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| spl0_89 ),
inference(extensionality_resolution,[],[f522,f19719]) ).
thf(f19762,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_89 ),
inference(extensionality_resolution,[],[f171,f19719]) ).
thf(f19763,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_89 ),
inference(extensionality_resolution,[],[f171,f19719]) ).
thf(f19764,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| spl0_89 ),
inference(extensionality_resolution,[],[f523,f19719]) ).
thf(f19765,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_89 ),
inference(extensionality_resolution,[],[f523,f19719]) ).
thf(f19774,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_89
| ~ spl0_227
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f19762,f18172]) ).
thf(f19776,definition,
( spl0_409
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_409])],[avatar_definition]) ).
thf(f19777,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f19776]) ).
thf(f19779,definition,
( spl0_410
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_410])],[avatar_definition]) ).
thf(f19780,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_410 ),
inference(avatar_component_clause,[],[f19779]) ).
thf(f19781,plain,
( spl0_409
| spl0_410
| spl0_89 ),
inference(avatar_split_clause,[],[f19763,f1911,f19779,f19776]) ).
thf(f20239,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_89
| ~ spl0_227
| ~ spl0_265 ),
inference(constrained_superposition,[],[f1592,f19774]) ).
thf(f20240,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_89
| ~ spl0_227
| ~ spl0_265 ),
inference(constrained_superposition,[],[f439,f19774]) ).
thf(f20242,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_89
| ~ spl0_227
| ~ spl0_265 ),
inference(constrained_superposition,[],[f158,f19774]) ).
thf(f20251,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_89
| ~ spl0_227
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f20242]) ).
thf(f20256,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| spl0_89
| ~ spl0_227
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f20240]) ).
thf(f20262,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_89
| ~ spl0_227
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f20239]) ).
thf(f20269,plain,
( spl0_347
| ~ spl0_348
| spl0_284
| spl0_89
| ~ spl0_227
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f20251,f11268,f10184,f1911,f12705,f15369,f15366]) ).
thf(f20271,plain,
( spl0_302
| ~ spl0_350
| spl0_351
| spl0_89
| ~ spl0_227
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f20256,f11268,f10184,f1911,f15384,f15381,f13214]) ).
thf(f20283,definition,
( spl0_414
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_414])],[avatar_definition]) ).
thf(f20284,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_414 ),
inference(avatar_component_clause,[],[f20283]) ).
thf(f20285,plain,
( ~ spl0_346
| spl0_256
| spl0_414
| spl0_89
| ~ spl0_227
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f20262,f11268,f10184,f1911,f20283,f10577,f15362]) ).
thf(f20304,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_350 ),
inference(constrained_superposition,[],[f15382,f30]) ).
thf(f20308,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_350 ),
inference(trivial_inequality_removal,[],[f20304]) ).
thf(f20311,plain,
( spl0_360
| spl0_361
| spl0_350 ),
inference(avatar_split_clause,[],[f20308,f15381,f15452,f15447]) ).
thf(f20313,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_360
| ~ spl0_391 ),
inference(constrained_superposition,[],[f17833,f15448]) ).
thf(f20314,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_360 ),
inference(constrained_superposition,[],[f250,f15448]) ).
thf(f20317,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_360
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f20313]) ).
thf(f20319,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f20314]) ).
thf(f20320,plain,
( spl0_282
| ~ spl0_360
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f20317,f17832,f15447,f11634]) ).
thf(f20322,plain,
( $false
| ~ spl0_22
| ~ spl0_356
| ~ spl0_360 ),
inference(forward_subsumption_resolution,[],[f20319,f15416]) ).
thf(f20323,plain,
( ~ spl0_22
| ~ spl0_356
| ~ spl0_360 ),
inference(avatar_contradiction_clause,[],[f20322]) ).
thf(f20325,definition,
( spl0_415
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_415])],[avatar_definition]) ).
thf(f20326,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_415 ),
inference(avatar_component_clause,[],[f20325]) ).
thf(f20328,definition,
( spl0_416
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_416])],[avatar_definition]) ).
thf(f20329,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f20328]) ).
thf(f20330,plain,
( spl0_415
| spl0_416
| spl0_89 ),
inference(avatar_split_clause,[],[f19762,f1911,f20328,f20325]) ).
thf(f20331,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_246
| ~ spl0_265 ),
inference(constrained_superposition,[],[f11269,f10295]) ).
thf(f20333,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_246
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f20331]) ).
thf(f20335,plain,
( $false
| ~ spl0_246
| ~ spl0_265
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f20333,f12706]) ).
thf(f20336,plain,
( ~ spl0_246
| ~ spl0_265
| ~ spl0_284 ),
inference(avatar_contradiction_clause,[],[f20335]) ).
thf(f20349,plain,
( spl0_307
| spl0_400 ),
inference(avatar_split_clause,[],[f19273,f18217,f13231]) ).
thf(f20351,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_84
| spl0_400 ),
inference(forward_subsumption_resolution,[],[f19272,f10130]) ).
thf(f20354,plain,
( spl0_307
| spl0_84
| spl0_400 ),
inference(avatar_split_clause,[],[f20351,f18217,f1669,f13231]) ).
thf(f20369,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_238
| ~ spl0_332 ),
inference(constrained_superposition,[],[f14570,f10266]) ).
thf(f20372,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_238
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f20369]) ).
thf(f20374,plain,
( spl0_257
| ~ spl0_238
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f20372,f14569,f10265,f10581]) ).
thf(f20390,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_5
| ~ spl0_249
| spl0_285
| spl0_288
| ~ spl0_359 ),
inference(constrained_superposition,[],[f19294,f15435]) ).
thf(f20393,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_5
| ~ spl0_249
| spl0_285
| spl0_288
| ~ spl0_359 ),
inference(trivial_inequality_removal,[],[f20390]) ).
thf(f20396,plain,
( spl0_282
| ~ spl0_5
| ~ spl0_249
| spl0_285
| spl0_288
| ~ spl0_359 ),
inference(avatar_split_clause,[],[f20393,f15434,f12744,f12718,f10366,f87,f11634]) ).
thf(f20398,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_82
| ~ spl0_395 ),
inference(forward_subsumption_resolution,[],[f18089,f1662]) ).
thf(f20399,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_110 ),
inference(constrained_superposition,[],[f2579,f170]) ).
thf(f20402,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| spl0_110 ),
inference(constrained_superposition,[],[f2579,f30]) ).
thf(f20405,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_110 ),
inference(trivial_inequality_removal,[],[f20402]) ).
thf(f20406,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_110 ),
inference(trivial_inequality_removal,[],[f20399]) ).
thf(f20409,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_84
| spl0_110 ),
inference(forward_subsumption_resolution,[],[f20405,f10130]) ).
thf(f20410,plain,
( spl0_81
| spl0_110 ),
inference(avatar_split_clause,[],[f20406,f2578,f1640]) ).
thf(f20411,plain,
( spl0_81
| spl0_84
| spl0_110 ),
inference(avatar_split_clause,[],[f20409,f2578,f1669,f1640]) ).
thf(f20456,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_402 ),
inference(constrained_superposition,[],[f18323,f714]) ).
thf(f20458,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_402 ),
inference(constrained_superposition,[],[f18323,f54]) ).
thf(f20461,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_402 ),
inference(trivial_inequality_removal,[],[f20456]) ).
thf(f20462,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_402 ),
inference(trivial_inequality_removal,[],[f20458]) ).
thf(f20466,plain,
( spl0_241
| spl0_402 ),
inference(avatar_split_clause,[],[f20461,f18322,f10277]) ).
thf(f20467,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_89
| spl0_402 ),
inference(forward_subsumption_resolution,[],[f20462,f19719]) ).
thf(f20471,plain,
( spl0_241
| spl0_89
| spl0_402 ),
inference(avatar_split_clause,[],[f20467,f18322,f1911,f10277]) ).
thf(f20481,definition,
( spl0_417
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_417])],[avatar_definition]) ).
thf(f20482,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_417 ),
inference(avatar_component_clause,[],[f20481]) ).
thf(f20490,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_410 ),
inference(constrained_superposition,[],[f1592,f19780]) ).
thf(f20510,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_410 ),
inference(trivial_inequality_removal,[],[f20490]) ).
thf(f20530,definition,
( spl0_420
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_420])],[avatar_definition]) ).
thf(f20531,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_420 ),
inference(avatar_component_clause,[],[f20530]) ).
thf(f20532,plain,
( spl0_362
| ~ spl0_232
| spl0_420
| ~ spl0_410 ),
inference(avatar_split_clause,[],[f20510,f19779,f20530,f10245,f15468]) ).
thf(f20617,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_265 ),
inference(constrained_superposition,[],[f11269,f10185]) ).
thf(f20620,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f20617]) ).
thf(f20623,plain,
( $false
| ~ spl0_227
| ~ spl0_265
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f20620,f20326]) ).
thf(f20624,plain,
( ~ spl0_227
| ~ spl0_265
| ~ spl0_415 ),
inference(avatar_contradiction_clause,[],[f20623]) ).
thf(f20636,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_416 ),
inference(constrained_superposition,[],[f1592,f20329]) ).
thf(f20658,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f20636]) ).
thf(f20667,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_256
| ~ spl0_416 ),
inference(forward_subsumption_resolution,[],[f20658,f19695]) ).
thf(f20671,plain,
( ~ spl0_346
| spl0_414
| spl0_256
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f20667,f20328,f10577,f20283,f15362]) ).
thf(f20679,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_227
| ~ spl0_267 ),
inference(constrained_superposition,[],[f11403,f10185]) ).
thf(f20682,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f20679]) ).
thf(f20694,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_345 ),
inference(constrained_superposition,[],[f15360,f169]) ).
thf(f20707,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f20694]) ).
thf(f20712,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_345
| spl0_360 ),
inference(forward_subsumption_resolution,[],[f20707,f19164]) ).
thf(f20713,plain,
( ~ spl0_110
| ~ spl0_345
| spl0_360 ),
inference(avatar_split_clause,[],[f20712,f15447,f15359,f2578]) ).
thf(f20728,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_258
| ~ spl0_302 ),
inference(constrained_superposition,[],[f10740,f13215]) ).
thf(f20731,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_258
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f20728]) ).
thf(f20752,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f20284,f713]) ).
thf(f20755,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_414 ),
inference(constrained_superposition,[],[f20284,f56]) ).
thf(f20760,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f20752]) ).
thf(f20762,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_414 ),
inference(trivial_inequality_removal,[],[f20755]) ).
thf(f20769,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_227
| ~ spl0_267
| ~ spl0_414 ),
inference(forward_subsumption_resolution,[],[f20760,f20682]) ).
thf(f20770,plain,
( ~ spl0_401
| spl0_359
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f20762,f20283,f15434,f18221]) ).
thf(f20772,plain,
( ~ spl0_400
| ~ spl0_227
| ~ spl0_267
| ~ spl0_414 ),
inference(avatar_split_clause,[],[f20769,f20283,f11402,f10184,f18217]) ).
thf(f20799,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_221
| ~ spl0_417 ),
inference(constrained_superposition,[],[f20482,f10164]) ).
thf(f20804,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_221
| ~ spl0_417 ),
inference(trivial_inequality_removal,[],[f20799]) ).
thf(f20806,plain,
( $false
| ~ spl0_221
| ~ spl0_229
| ~ spl0_417 ),
inference(forward_subsumption_resolution,[],[f20804,f10192]) ).
thf(f20807,plain,
( ~ spl0_221
| ~ spl0_229
| ~ spl0_417 ),
inference(avatar_contradiction_clause,[],[f20806]) ).
thf(f20808,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82
| ~ spl0_256
| ~ spl0_395 ),
inference(constrained_superposition,[],[f20398,f10578]) ).
thf(f20813,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82
| ~ spl0_256
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f20808]) ).
thf(f20814,plain,
( spl0_257
| ~ spl0_82
| ~ spl0_256
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f20813,f18088,f10577,f1661,f10581]) ).
thf(f20863,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_233
| ~ spl0_410 ),
inference(constrained_superposition,[],[f10250,f19780]) ).
thf(f20871,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_410 ),
inference(constrained_superposition,[],[f439,f19780]) ).
thf(f20885,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_410 ),
inference(trivial_inequality_removal,[],[f20871]) ).
thf(f20889,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_233
| ~ spl0_410 ),
inference(trivial_inequality_removal,[],[f20863]) ).
thf(f20903,plain,
( ~ spl0_350
| ~ spl0_233
| ~ spl0_410 ),
inference(avatar_split_clause,[],[f20889,f19779,f10249,f15381]) ).
thf(f20908,plain,
( spl0_369
| ~ spl0_234
| spl0_233
| ~ spl0_410 ),
inference(avatar_split_clause,[],[f20885,f19779,f10249,f10252,f15561]) ).
thf(f20934,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_420 ),
inference(constrained_superposition,[],[f20531,f714]) ).
thf(f20943,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f20934]) ).
thf(f21042,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_286
| ~ spl0_291 ),
inference(constrained_superposition,[],[f13785,f12772]) ).
thf(f21043,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_2
| ~ spl0_291 ),
inference(constrained_superposition,[],[f2141,f12772]) ).
thf(f21046,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_286
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f21042]) ).
thf(f21047,plain,
( ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_2
| ~ spl0_291 ),
inference(trivial_inequality_removal,[],[f21043]) ).
thf(f21052,plain,
( spl0_257
| spl0_248
| spl0_286
| ~ spl0_291 ),
inference(avatar_split_clause,[],[f21046,f12771,f12727,f10314,f10581]) ).
thf(f21053,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_2
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f21047,f26]) ).
thf(f21054,plain,
( $false
| spl0_2
| ~ spl0_291 ),
inference(forward_subsumption_resolution,[],[f21053,f26]) ).
thf(f21055,plain,
( spl0_2
| ~ spl0_291 ),
inference(avatar_contradiction_clause,[],[f21054]) ).
thf(f21799,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_306 ),
inference(avatar_component_clause,[],[f13228]) ).
thf(f21808,definition,
( spl0_426
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_426])],[avatar_definition]) ).
thf(f21809,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_426 ),
inference(avatar_component_clause,[],[f21808]) ).
thf(f21814,definition,
( spl0_427
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_427])],[avatar_definition]) ).
thf(f21815,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_427 ),
inference(avatar_component_clause,[],[f21814]) ).
thf(f21833,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_402 ),
inference(avatar_component_clause,[],[f18322]) ).
thf(f21851,definition,
( spl0_429
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_429])],[avatar_definition]) ).
thf(f21852,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_429 ),
inference(avatar_component_clause,[],[f21851]) ).
thf(f21878,definition,
( spl0_432
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_432])],[avatar_definition]) ).
thf(f21879,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_432 ),
inference(avatar_component_clause,[],[f21878]) ).
thf(f21927,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_306 ),
inference(constrained_superposition,[],[f72,f21799]) ).
thf(f21933,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f439,f21799]) ).
thf(f21935,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f158,f21799]) ).
thf(f21936,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f69,f21799]) ).
thf(f21943,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f29,f21799]) ).
thf(f21947,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f21927]) ).
thf(f21948,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f21933]) ).
thf(f21949,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f21935]) ).
thf(f21955,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f21936]) ).
thf(f21959,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f21943]) ).
thf(f21968,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_229
| ~ spl0_249
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f21947,f19290]) ).
thf(f21969,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_258
| ~ spl0_302
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f21948,f20731]) ).
thf(f21970,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| spl0_69
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f21949,f15783]) ).
thf(f21974,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| spl0_76
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f21955,f16028]) ).
thf(f21976,plain,
( spl0_432
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f21959,f13228,f21878]) ).
thf(f21977,plain,
( ~ spl0_145
| ~ spl0_300
| ~ spl0_1
| ~ spl0_229
| ~ spl0_249
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f21968,f13228,f10366,f10191,f71,f13207,f4448]) ).
thf(f21978,plain,
( ~ spl0_304
| spl0_303
| ~ spl0_258
| ~ spl0_302
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f21969,f13228,f13214,f10739,f13217,f13220]) ).
thf(f21979,plain,
( spl0_308
| ~ spl0_237
| spl0_69
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f21970,f13228,f1597,f10262,f13235]) ).
thf(f21980,plain,
( ~ spl0_237
| spl0_305
| spl0_76
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f21974,f13228,f1623,f13225,f10262]) ).
thf(f21983,plain,
( ~ spl0_232
| spl0_365
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f20943,f20530,f15545,f10245]) ).
thf(f21992,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_22
| ~ spl0_255
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f19312,f12719]) ).
thf(f22002,plain,
( spl0_391
| spl0_288
| ~ spl0_22
| ~ spl0_255
| spl0_285 ),
inference(avatar_split_clause,[],[f21992,f12718,f10555,f249,f12744,f17832]) ).
thf(f22021,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_11 ),
inference(constrained_superposition,[],[f203,f30]) ).
thf(f22023,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_11 ),
inference(trivial_inequality_removal,[],[f22021]) ).
thf(f22025,plain,
( spl0_33
| spl0_17
| spl0_11 ),
inference(avatar_split_clause,[],[f22023,f202,f223,f348]) ).
thf(f22047,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f4937,f57]) ).
thf(f22054,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f22047]) ).
thf(f22057,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ~ spl0_35
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f22054,f365]) ).
thf(f22067,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_35
| ~ spl0_165 ),
inference(constrained_superposition,[],[f22057,f35]) ).
thf(f22069,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ~ spl0_35
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f22067]) ).
thf(f22072,plain,
( ( $true != $true )
| ~ spl0_35
| ~ spl0_165
| spl0_285 ),
inference(constrained_superposition,[],[f12719,f22069]) ).
thf(f22073,plain,
( ( $true != $true )
| ~ spl0_35
| ~ spl0_104
| ~ spl0_165 ),
inference(constrained_superposition,[],[f2372,f22069]) ).
thf(f22076,plain,
( $false
| ~ spl0_35
| ~ spl0_165
| spl0_285 ),
inference(trivial_inequality_removal,[],[f22072]) ).
thf(f22077,plain,
( ~ spl0_35
| ~ spl0_165
| spl0_285 ),
inference(avatar_contradiction_clause,[],[f22076]) ).
thf(f22078,plain,
( $false
| ~ spl0_35
| ~ spl0_104
| ~ spl0_165 ),
inference(trivial_inequality_removal,[],[f22073]) ).
thf(f22079,plain,
( ~ spl0_35
| ~ spl0_104
| ~ spl0_165 ),
inference(avatar_contradiction_clause,[],[f22078]) ).
thf(f22088,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_75
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f17017,f2372]) ).
thf(f22090,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_26
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f270,f365]) ).
thf(f22092,plain,
( spl0_20
| spl0_18
| spl0_33
| spl0_75
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f22088,f2371,f1619,f348,f227,f234]) ).
thf(f22093,plain,
( spl0_136
| ~ spl0_26
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f22090,f364,f269,f4407]) ).
thf(f22129,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_76 ),
inference(forward_subsumption_resolution,[],[f17448,f26]) ).
thf(f22132,plain,
( spl0_70
| spl0_122
| spl0_2
| spl0_69 ),
inference(avatar_split_clause,[],[f17844,f1597,f74,f3121,f1601]) ).
thf(f22134,definition,
( spl0_439
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_439])],[avatar_definition]) ).
thf(f22135,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_439 ),
inference(avatar_component_clause,[],[f22134]) ).
thf(f22139,definition,
( spl0_440
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_440])],[avatar_definition]) ).
thf(f22140,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_440 ),
inference(avatar_component_clause,[],[f22139]) ).
thf(f22143,plain,
( spl0_2
| spl0_4
| spl0_70
| spl0_76 ),
inference(avatar_split_clause,[],[f22129,f1623,f1601,f81,f74]) ).
thf(f22149,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f27,f82]) ).
thf(f22150,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f22149]) ).
thf(f22151,plain,
( spl0_5
| spl0_35
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f22150,f81,f364,f87]) ).
thf(f22224,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_440 ),
inference(constrained_superposition,[],[f22140,f56]) ).
thf(f22227,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_440 ),
inference(trivial_inequality_removal,[],[f22224]) ).
thf(f22229,plain,
( spl0_51
| ~ spl0_440 ),
inference(avatar_split_clause,[],[f22227,f22139,f590]) ).
thf(f22258,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_284
| ~ spl0_334 ),
inference(constrained_superposition,[],[f14673,f12706]) ).
thf(f22261,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_284
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f22258]) ).
thf(f22263,plain,
( $false
| ~ spl0_2
| ~ spl0_284
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f22261,f75]) ).
thf(f22264,plain,
( ~ spl0_2
| ~ spl0_284
| ~ spl0_334 ),
inference(avatar_contradiction_clause,[],[f22263]) ).
thf(f22573,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f439,f10189]) ).
thf(f22596,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_228 ),
inference(trivial_inequality_removal,[],[f22573]) ).
thf(f22603,plain,
( spl0_302
| ~ spl0_304
| spl0_303
| ~ spl0_228 ),
inference(avatar_split_clause,[],[f22596,f10188,f13217,f13220,f13214]) ).
thf(f22634,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_242 ),
inference(constrained_superposition,[],[f10281,f35]) ).
thf(f22644,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f22634]) ).
thf(f22646,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_242
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f22644,f12719]) ).
thf(f22647,plain,
( ~ spl0_72
| ~ spl0_242
| spl0_285 ),
inference(avatar_split_clause,[],[f22646,f12718,f10280,f1608]) ).
thf(f22652,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_303 ),
inference(constrained_superposition,[],[f13218,f56]) ).
thf(f22664,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f22652]) ).
thf(f22666,plain,
( spl0_240
| ~ spl0_30
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f22664,f13217,f327,f10273]) ).
thf(f22680,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_258
| ~ spl0_415 ),
inference(constrained_superposition,[],[f10740,f20326]) ).
thf(f22682,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_258
| ~ spl0_302 ),
inference(constrained_superposition,[],[f10740,f13215]) ).
thf(f22685,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_258
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f22682]) ).
thf(f22690,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_258
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f22680]) ).
thf(f22693,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_258
| ~ spl0_302 ),
inference(constrained_superposition,[],[f22685,f924]) ).
thf(f22696,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_258
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f22693]) ).
thf(f22698,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_258
| ~ spl0_415 ),
inference(constrained_superposition,[],[f22690,f924]) ).
thf(f22700,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_258
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f22698]) ).
thf(f22702,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_70
| ~ spl0_258
| ~ spl0_415 ),
inference(forward_subsumption_resolution,[],[f22700,f14826]) ).
thf(f22704,plain,
( spl0_266
| spl0_122
| spl0_356
| spl0_70
| ~ spl0_258
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f22702,f20325,f10739,f1601,f15415,f3121,f11279]) ).
thf(f22706,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_416 ),
inference(constrained_superposition,[],[f791,f20329]) ).
thf(f22716,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_416 ),
inference(constrained_superposition,[],[f42,f20329]) ).
thf(f22722,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f22716]) ).
thf(f22734,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f22706]) ).
thf(f22739,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| spl0_288
| ~ spl0_416 ),
inference(forward_subsumption_resolution,[],[f22722,f19160]) ).
thf(f22744,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_285
| ~ spl0_416 ),
inference(forward_subsumption_resolution,[],[f22734,f12719]) ).
thf(f22749,plain,
( ~ spl0_344
| spl0_343
| spl0_288
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f22739,f20328,f12744,f15352,f15355]) ).
thf(f22752,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_285
| ~ spl0_416 ),
inference(forward_subsumption_resolution,[],[f22744,f26]) ).
thf(f22753,plain,
( spl0_356
| ~ spl0_316
| spl0_285
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f22752,f20328,f12718,f13707,f15415]) ).
thf(f22754,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_70
| ~ spl0_258
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f22696,f14826]) ).
thf(f22755,plain,
( spl0_33
| spl0_18
| spl0_122
| spl0_70
| ~ spl0_258
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f22754,f13214,f10739,f1601,f3121,f227,f348]) ).
thf(f22756,plain,
( spl0_440
| ~ spl0_10
| ~ spl0_72
| spl0_69
| spl0_89 ),
inference(avatar_split_clause,[],[f19765,f1911,f1597,f1608,f133,f22139]) ).
thf(f22757,plain,
( spl0_69
| ~ spl0_10
| spl0_439
| spl0_89 ),
inference(avatar_split_clause,[],[f19761,f1911,f22134,f133,f1597]) ).
thf(f22783,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_75 ),
inference(constrained_superposition,[],[f250,f1620]) ).
thf(f22786,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f22783]) ).
thf(f22789,plain,
( $false
| ~ spl0_22
| ~ spl0_70
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f22786,f1602]) ).
thf(f22790,plain,
( ~ spl0_22
| ~ spl0_70
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[],[f22789]) ).
thf(f22819,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_75 ),
inference(constrained_superposition,[],[f7734,f924]) ).
thf(f22822,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_75 ),
inference(trivial_inequality_removal,[],[f22819]) ).
thf(f22847,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f406,f30]) ).
thf(f22849,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f22847]) ).
thf(f23258,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_360
| ~ spl0_392 ),
inference(constrained_superposition,[],[f17947,f15448]) ).
thf(f23262,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_360
| ~ spl0_392 ),
inference(trivial_inequality_removal,[],[f23258]) ).
thf(f23272,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_240
| ~ spl0_360
| ~ spl0_392 ),
inference(constrained_superposition,[],[f10274,f23262]) ).
thf(f23401,plain,
( $false
| spl0_238
| ~ spl0_240
| ~ spl0_360
| ~ spl0_392 ),
inference(forward_subsumption_resolution,[],[f23272,f12725]) ).
thf(f23402,plain,
( spl0_238
| ~ spl0_240
| ~ spl0_360
| ~ spl0_392 ),
inference(avatar_contradiction_clause,[],[f23401]) ).
thf(f23421,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_224 ),
inference(constrained_superposition,[],[f27,f10175]) ).
thf(f23422,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_224 ),
inference(trivial_inequality_removal,[],[f23421]) ).
thf(f23423,plain,
( spl0_265
| spl0_254
| ~ spl0_224 ),
inference(avatar_split_clause,[],[f23422,f10174,f10518,f11268]) ).
thf(f23424,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_229 ),
inference(constrained_superposition,[],[f27,f10192]) ).
thf(f23425,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f23424]) ).
thf(f23426,plain,
( spl0_265
| spl0_294
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f23425,f10191,f12870,f11268]) ).
thf(f23742,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_122 ),
inference(avatar_component_clause,[],[f3121]) ).
thf(f23800,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_76
| ~ spl0_332 ),
inference(constrained_superposition,[],[f14570,f1624]) ).
thf(f23805,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_76
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f23800]) ).
thf(f23807,plain,
( spl0_251
| ~ spl0_76
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f23805,f14569,f1623,f10388]) ).
thf(f23937,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f794,f21799]) ).
thf(f23941,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f439,f21799]) ).
thf(f23942,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f199,f21799]) ).
thf(f23946,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f42,f21799]) ).
thf(f23953,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f23941]) ).
thf(f23957,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f23946]) ).
thf(f23963,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f23937]) ).
thf(f23964,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f23942]) ).
thf(f23968,plain,
( ~ spl0_304
| spl0_303
| spl0_81
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f23953,f13228,f1640,f13217,f13220]) ).
thf(f23970,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| spl0_122
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f23957,f23742]) ).
thf(f23973,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_286
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f23963,f13785]) ).
thf(f23974,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| spl0_75
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f23964,f7734]) ).
thf(f23977,plain,
( ~ spl0_300
| spl0_301
| spl0_122
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f23970,f13228,f3121,f13210,f13207]) ).
thf(f23980,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_70
| spl0_286
| ~ spl0_306 ),
inference(forward_subsumption_resolution,[],[f23973,f14826]) ).
thf(f23981,plain,
( spl0_305
| ~ spl0_304
| spl0_75
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f23974,f13228,f1619,f13220,f13225]) ).
thf(f23983,plain,
( ~ spl0_72
| spl0_70
| spl0_286
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f23980,f13228,f12727,f1601,f1608]) ).
thf(f24006,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_249
| ~ spl0_307 ),
inference(constrained_superposition,[],[f10367,f13232]) ).
thf(f24010,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_249
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f24006]) ).
thf(f24019,plain,
( ~ spl0_76
| ~ spl0_249
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f24010,f13231,f10366,f1623]) ).
thf(f24105,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_245
| ~ spl0_410 ),
inference(constrained_superposition,[],[f10292,f19780]) ).
thf(f24117,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_245
| ~ spl0_410 ),
inference(trivial_inequality_removal,[],[f24105]) ).
thf(f24123,plain,
( ~ spl0_348
| ~ spl0_245
| ~ spl0_410 ),
inference(avatar_split_clause,[],[f24117,f19779,f10291,f15369]) ).
thf(f24129,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_247
| ~ spl0_391 ),
inference(constrained_superposition,[],[f17833,f10299]) ).
thf(f24134,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_247
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f24129]) ).
thf(f24136,plain,
( spl0_257
| ~ spl0_247
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f24134,f17832,f10298,f10581]) ).
thf(f24177,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_416 ),
inference(constrained_superposition,[],[f439,f20329]) ).
thf(f24180,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_416 ),
inference(constrained_superposition,[],[f69,f20329]) ).
thf(f24190,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f24177]) ).
thf(f24196,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f24180]) ).
thf(f24207,plain,
( ~ spl0_350
| spl0_302
| spl0_351
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f24190,f20328,f15384,f13214,f15381]) ).
thf(f24208,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_238
| ~ spl0_416 ),
inference(forward_subsumption_resolution,[],[f24196,f12725]) ).
thf(f24210,plain,
( spl0_414
| ~ spl0_348
| spl0_238
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f24208,f20328,f10265,f15369,f20283]) ).
thf(f24234,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_229
| ~ spl0_258 ),
inference(constrained_superposition,[],[f10740,f10192]) ).
thf(f24236,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_258
| ~ spl0_284 ),
inference(constrained_superposition,[],[f10740,f12706]) ).
thf(f24239,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_258
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f24236]) ).
thf(f24242,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_229
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f24234]) ).
thf(f24243,plain,
( $false
| ~ spl0_69
| ~ spl0_258
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f24239,f1598]) ).
thf(f24244,plain,
( ~ spl0_69
| ~ spl0_258
| ~ spl0_284 ),
inference(avatar_contradiction_clause,[],[f24243]) ).
thf(f24249,plain,
( ~ spl0_230
| ~ spl0_229
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f24242,f10739,f10191,f10239]) ).
thf(f24313,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_306 ),
inference(constrained_superposition,[],[f49,f21799]) ).
thf(f24334,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_306 ),
inference(trivial_inequality_removal,[],[f24313]) ).
thf(f24368,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f791,f10167]) ).
thf(f24378,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f42,f10167]) ).
thf(f24386,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f24378]) ).
thf(f24399,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f24368]) ).
thf(f24411,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f791,f10182]) ).
thf(f24415,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f1592,f10182]) ).
thf(f24420,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f49,f10182]) ).
thf(f24430,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f24420]) ).
thf(f24432,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f24415]) ).
thf(f24439,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f24411]) ).
thf(f24449,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_222
| ~ spl0_305 ),
inference(constrained_superposition,[],[f13226,f10167]) ).
thf(f24459,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_222
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f24449]) ).
thf(f24467,plain,
( ~ spl0_346
| ~ spl0_222
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f24459,f13225,f10166,f15362]) ).
thf(f24468,plain,
( spl0_70
| ~ spl0_300
| spl0_305
| ~ spl0_306 ),
inference(avatar_split_clause,[],[f24334,f13228,f13225,f13207,f1601]) ).
thf(f24470,plain,
( ~ spl0_300
| spl0_352
| spl0_301
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f24386,f10166,f13210,f15388,f13207]) ).
thf(f24471,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_281
| spl0_285 ),
inference(constrained_superposition,[],[f12719,f11577]) ).
thf(f24472,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_281
| spl0_286 ),
inference(constrained_superposition,[],[f13785,f11577]) ).
thf(f24475,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_281
| spl0_285 ),
inference(trivial_inequality_removal,[],[f24471]) ).
thf(f24476,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_281
| spl0_286 ),
inference(trivial_inequality_removal,[],[f24472]) ).
thf(f24481,plain,
( spl0_248
| spl0_251
| ~ spl0_281
| spl0_285 ),
inference(avatar_split_clause,[],[f24475,f12718,f11576,f10388,f10314]) ).
thf(f24482,plain,
( spl0_252
| spl0_266
| ~ spl0_281
| spl0_286 ),
inference(avatar_split_clause,[],[f24476,f12727,f11576,f11279,f10407]) ).
thf(f24516,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f24439,f26]) ).
thf(f24517,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_222
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f24399,f13785]) ).
thf(f24521,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_226
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f24430,f13785]) ).
thf(f24525,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_226
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f24516,f13785]) ).
thf(f24526,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_222
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f24517,f26]) ).
thf(f24528,plain,
( ~ spl0_344
| spl0_349
| ~ spl0_226
| spl0_286 ),
inference(avatar_split_clause,[],[f24521,f12727,f10181,f15374,f15355]) ).
thf(f24531,plain,
( ~ spl0_310
| spl0_356
| ~ spl0_226
| spl0_286 ),
inference(avatar_split_clause,[],[f24525,f12727,f10181,f15415,f13245]) ).
thf(f24532,plain,
( ~ spl0_370
| spl0_356
| ~ spl0_222
| spl0_286 ),
inference(avatar_split_clause,[],[f24526,f12727,f10166,f15415,f15565]) ).
thf(f24534,plain,
( ~ spl0_346
| spl0_230
| spl0_349
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f24432,f10181,f15374,f10239,f15362]) ).
thf(f24545,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_356 ),
inference(constrained_superposition,[],[f27,f15416]) ).
thf(f24546,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f24545]) ).
thf(f24547,plain,
( spl0_6
| spl0_381
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f24546,f15415,f16230,f90]) ).
thf(f24583,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_381
| ~ spl0_409 ),
inference(constrained_superposition,[],[f16231,f19777]) ).
thf(f24585,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_381
| ~ spl0_409 ),
inference(trivial_inequality_removal,[],[f24583]) ).
thf(f24587,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_267 ),
inference(constrained_superposition,[],[f11403,f924]) ).
thf(f24588,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_224
| ~ spl0_267 ),
inference(constrained_superposition,[],[f11403,f10175]) ).
thf(f24590,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_235
| ~ spl0_267 ),
inference(constrained_superposition,[],[f11403,f10256]) ).
thf(f24591,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_246
| ~ spl0_267 ),
inference(constrained_superposition,[],[f11403,f10295]) ).
thf(f24595,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_224
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f24588]) ).
thf(f24596,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f24587]) ).
thf(f24597,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_235
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f24590]) ).
thf(f24598,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_246
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f24591]) ).
thf(f24602,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_235
| ~ spl0_267 ),
inference(constrained_superposition,[],[f24597,f924]) ).
thf(f24604,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_235
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f24602]) ).
thf(f24616,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_226
| ~ spl0_429 ),
inference(constrained_superposition,[],[f21852,f10182]) ).
thf(f24627,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_226
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f24616]) ).
thf(f24629,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_226
| ~ spl0_429 ),
inference(constrained_superposition,[],[f24627,f714]) ).
thf(f24637,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_226
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f24629]) ).
thf(f24642,plain,
( spl0_365
| ~ spl0_226
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f24637,f21851,f10181,f15545]) ).
thf(f24651,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_65
| ~ spl0_229 ),
inference(constrained_superposition,[],[f1256,f10192]) ).
thf(f24670,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_65
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f24651]) ).
thf(f24675,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_65
| ~ spl0_229
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f24670,f19160]) ).
thf(f24676,plain,
( $false
| ~ spl0_65
| ~ spl0_229
| ~ spl0_240
| spl0_288 ),
inference(forward_subsumption_resolution,[],[f24675,f10274]) ).
thf(f24677,plain,
( ~ spl0_65
| ~ spl0_229
| ~ spl0_240
| spl0_288 ),
inference(avatar_contradiction_clause,[],[f24676]) ).
thf(f24688,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_235
| ~ spl0_265 ),
inference(constrained_superposition,[],[f11269,f10256]) ).
thf(f24689,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_246
| ~ spl0_265 ),
inference(constrained_superposition,[],[f11269,f10295]) ).
thf(f24692,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_235
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f24688]) ).
thf(f24694,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_246
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f24689]) ).
thf(f24699,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_246
| ~ spl0_265 ),
inference(constrained_superposition,[],[f24694,f924]) ).
thf(f24701,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_246
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f24699]) ).
thf(f24704,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_235
| ~ spl0_265 ),
inference(constrained_superposition,[],[f24692,f924]) ).
thf(f24706,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_235
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f24704]) ).
thf(f24752,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_349 ),
inference(constrained_superposition,[],[f15375,f56]) ).
thf(f24759,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_349 ),
inference(trivial_inequality_removal,[],[f24752]) ).
thf(f24767,definition,
( spl0_448
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_448])],[avatar_definition]) ).
thf(f24768,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_448 ),
inference(avatar_component_clause,[],[f24767]) ).
thf(f24769,plain,
( ~ spl0_448
| spl0_359
| ~ spl0_349 ),
inference(avatar_split_clause,[],[f24759,f15374,f15434,f24767]) ).
thf(f24771,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_448 ),
inference(constrained_superposition,[],[f24768,f57]) ).
thf(f24776,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_448 ),
inference(trivial_inequality_removal,[],[f24771]) ).
thf(f24786,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_366 ),
inference(constrained_superposition,[],[f15550,f34]) ).
thf(f24796,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f24786]) ).
thf(f24803,plain,
( spl0_352
| ~ spl0_300
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f24796,f15549,f13207,f15388]) ).
thf(f24806,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_166
| ~ spl0_230 ),
inference(constrained_superposition,[],[f5551,f10240]) ).
thf(f24823,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_166
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f24806]) ).
thf(f24828,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_166
| ~ spl0_230
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f24823,f10274]) ).
thf(f24833,plain,
( $false
| spl0_69
| ~ spl0_166
| ~ spl0_230
| ~ spl0_240 ),
inference(forward_subsumption_resolution,[],[f24828,f15783]) ).
thf(f24834,plain,
( spl0_69
| ~ spl0_166
| ~ spl0_230
| ~ spl0_240 ),
inference(avatar_contradiction_clause,[],[f24833]) ).
thf(f24840,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_223 ),
inference(constrained_superposition,[],[f10171,f57]) ).
thf(f24843,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_223 ),
inference(trivial_inequality_removal,[],[f24840]) ).
thf(f24897,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_432 ),
inference(constrained_superposition,[],[f21879,f34]) ).
thf(f24902,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_432 ),
inference(constrained_superposition,[],[f21879,f714]) ).
thf(f24903,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_432 ),
inference(constrained_superposition,[],[f21879,f170]) ).
thf(f24904,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_432 ),
inference(constrained_superposition,[],[f21879,f57]) ).
thf(f24906,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_432 ),
inference(trivial_inequality_removal,[],[f24903]) ).
thf(f24908,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_432 ),
inference(duplicate_literal_removal,[],[f24902]) ).
thf(f24909,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_432 ),
inference(trivial_inequality_removal,[],[f24908]) ).
thf(f24910,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_432 ),
inference(trivial_inequality_removal,[],[f24897]) ).
thf(f24912,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_432 ),
inference(trivial_inequality_removal,[],[f24904]) ).
thf(f24993,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_352
| ~ spl0_417 ),
inference(constrained_superposition,[],[f20482,f15389]) ).
thf(f24997,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_352
| ~ spl0_417 ),
inference(trivial_inequality_removal,[],[f24993]) ).
thf(f25052,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ z )
= X0 ) )
| spl0_285
| ~ spl0_318 ),
inference(constrained_superposition,[],[f12719,f13813]) ).
thf(f25216,plain,
( ( ( s @ z )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_248 ),
inference(avatar_component_clause,[],[f10314]) ).
thf(f25218,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_248 ),
inference(extensionality_resolution,[],[f924,f25216]) ).
thf(f25219,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_248 ),
inference(extensionality_resolution,[],[f924,f25216]) ).
thf(f25220,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_248 ),
inference(extensionality_resolution,[],[f812,f25216]) ).
thf(f25222,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) ) )
| spl0_248 ),
inference(extensionality_resolution,[],[f522,f25216]) ).
thf(f25223,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_248 ),
inference(extensionality_resolution,[],[f522,f25216]) ).
thf(f25226,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) ) )
| spl0_248 ),
inference(extensionality_resolution,[],[f523,f25216]) ).
thf(f25253,definition,
( spl0_455
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_455])],[avatar_definition]) ).
thf(f25254,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f25253]) ).
thf(f25490,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_455 ),
inference(constrained_superposition,[],[f25254,f714]) ).
thf(f25498,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f25490]) ).
thf(f25529,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_70
| spl0_285
| ~ spl0_318 ),
inference(constrained_superposition,[],[f25052,f1602]) ).
thf(f25535,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_70
| spl0_285
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f25529]) ).
thf(f25539,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_70
| spl0_285
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f25535,f12719]) ).
thf(f25540,plain,
( $false
| ~ spl0_70
| spl0_89
| spl0_285
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f25539,f19719]) ).
thf(f25541,plain,
( ~ spl0_70
| spl0_89
| spl0_285
| ~ spl0_318 ),
inference(avatar_contradiction_clause,[],[f25540]) ).
thf(f25969,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f22849,f34]) ).
thf(f25972,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f25969]) ).
thf(f26476,definition,
( spl0_490
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_490])],[avatar_definition]) ).
thf(f26477,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_490 ),
inference(avatar_component_clause,[],[f26476]) ).
thf(f26564,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f10245]) ).
thf(f26586,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_400 ),
inference(avatar_component_clause,[],[f18217]) ).
thf(f26678,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_232 ),
inference(constrained_superposition,[],[f72,f26564]) ).
thf(f26680,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_232
| ~ spl0_439 ),
inference(constrained_superposition,[],[f22135,f26564]) ).
thf(f26687,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f158,f26564]) ).
thf(f26701,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f26687]) ).
thf(f26702,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_232
| ~ spl0_439 ),
inference(trivial_inequality_removal,[],[f26680]) ).
thf(f26711,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f26678]) ).
thf(f26722,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_69
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f26701,f15783]) ).
thf(f26723,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_232
| spl0_285
| ~ spl0_439 ),
inference(forward_subsumption_resolution,[],[f26702,f12719]) ).
thf(f26728,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_232
| spl0_238 ),
inference(forward_subsumption_resolution,[],[f26711,f12725]) ).
thf(f26730,plain,
( spl0_245
| ~ spl0_239
| spl0_69
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f26722,f10245,f1597,f10270,f10291]) ).
thf(f26731,plain,
( ~ spl0_239
| ~ spl0_232
| spl0_285
| ~ spl0_439 ),
inference(avatar_split_clause,[],[f26723,f22134,f12718,f10245,f10270]) ).
thf(f26735,plain,
( ~ spl0_145
| ~ spl0_236
| ~ spl0_1
| ~ spl0_232
| spl0_238 ),
inference(avatar_split_clause,[],[f26728,f10265,f10245,f71,f10259,f4448]) ).
thf(f26737,plain,
( ~ spl0_288
| ~ spl0_352
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f24997,f20481,f15388,f12744]) ).
thf(f26746,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_246
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f24701,f26]) ).
thf(f26751,plain,
( ~ spl0_69
| ~ spl0_246
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f24598,f11402,f10294,f1597]) ).
thf(f26753,plain,
( ~ spl0_256
| ~ spl0_224
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f24595,f11402,f10174,f10577]) ).
thf(f26758,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_89
| ~ spl0_235
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f24706,f19719]) ).
thf(f26759,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_267
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f24596,f13785]) ).
thf(f26761,plain,
( ~ spl0_145
| spl0_307
| spl0_70
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f25498,f25253,f1601,f13231,f4448]) ).
thf(f26762,plain,
( spl0_33
| spl0_70
| spl0_122
| spl0_18
| ~ spl0_235
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f24604,f11402,f10255,f227,f3121,f1601,f348]) ).
thf(f26763,plain,
( spl0_2
| ~ spl0_30
| spl0_69
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f24843,f10170,f1597,f327,f74]) ).
thf(f26764,plain,
( spl0_490
| spl0_241
| ~ spl0_432 ),
inference(avatar_split_clause,[],[f24909,f21878,f10277,f26476]) ).
thf(f26767,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_246
| ~ spl0_265
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f26746,f12719]) ).
thf(f26768,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_89
| ~ spl0_235
| ~ spl0_265
| spl0_285 ),
inference(forward_subsumption_resolution,[],[f26758,f12719]) ).
thf(f26772,plain,
( spl0_288
| spl0_2
| ~ spl0_246
| ~ spl0_265
| spl0_285 ),
inference(avatar_split_clause,[],[f26767,f12718,f11268,f10294,f74,f12744]) ).
thf(f26773,plain,
( spl0_288
| spl0_18
| spl0_89
| ~ spl0_235
| ~ spl0_265
| spl0_285 ),
inference(avatar_split_clause,[],[f26768,f12718,f11268,f10255,f1911,f227,f12744]) ).
thf(f26775,plain,
( spl0_287
| spl0_395
| ~ spl0_267
| spl0_286 ),
inference(avatar_split_clause,[],[f26759,f12727,f11402,f18088,f12735]) ).
thf(f26777,definition,
( spl0_499
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_499])],[avatar_definition]) ).
thf(f26778,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_499 ),
inference(avatar_component_clause,[],[f26777]) ).
thf(f26779,plain,
( spl0_287
| spl0_499
| ~ spl0_432 ),
inference(avatar_split_clause,[],[f24910,f21878,f26777,f12735]) ).
thf(f26781,plain,
( spl0_246
| spl0_448 ),
inference(avatar_split_clause,[],[f24776,f24767,f10294]) ).
thf(f26782,plain,
( spl0_455
| spl0_238
| ~ spl0_316
| spl0_248 ),
inference(avatar_split_clause,[],[f25223,f10314,f13707,f10265,f25253]) ).
thf(f26786,definition,
( spl0_500
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_500])],[avatar_definition]) ).
thf(f26787,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_500 ),
inference(avatar_component_clause,[],[f26786]) ).
thf(f26788,plain,
( spl0_500
| spl0_235
| ~ spl0_432 ),
inference(avatar_split_clause,[],[f24906,f21878,f10255,f26786]) ).
thf(f26790,definition,
( spl0_501
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_501])],[avatar_definition]) ).
thf(f26791,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_501 ),
inference(avatar_component_clause,[],[f26790]) ).
thf(f26792,plain,
( spl0_246
| spl0_501
| ~ spl0_432 ),
inference(avatar_split_clause,[],[f24912,f21878,f26790,f10294]) ).
thf(f26813,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_136
| ~ spl0_267 ),
inference(constrained_superposition,[],[f11403,f4408]) ).
thf(f26822,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_136
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f26813]) ).
thf(f26828,plain,
( $false
| ~ spl0_136
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f26822,f4408]) ).
thf(f26829,plain,
( ~ spl0_136
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f26828]) ).
thf(f26831,plain,
( ~ spl0_285
| ~ spl0_381
| ~ spl0_409 ),
inference(avatar_split_clause,[],[f24585,f19776,f16230,f12718]) ).
thf(f26832,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_28
| spl0_89 ),
inference(forward_subsumption_resolution,[],[f19756,f280]) ).
thf(f26834,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_28
| spl0_89 ),
inference(forward_subsumption_resolution,[],[f26832,f280]) ).
thf(f26836,plain,
( spl0_285
| spl0_288
| ~ spl0_28
| spl0_89 ),
inference(avatar_split_clause,[],[f26834,f1911,f279,f12744,f12718]) ).
thf(f26837,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_267 ),
inference(constrained_superposition,[],[f11403,f392]) ).
thf(f26841,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_37
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f26837]) ).
thf(f26843,plain,
( $false
| ~ spl0_37
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f26841,f392]) ).
thf(f26844,plain,
( ~ spl0_37
| ~ spl0_267 ),
inference(avatar_contradiction_clause,[],[f26843]) ).
thf(f26849,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f25972,f26]) ).
thf(f26850,plain,
( spl0_285
| spl0_302
| spl0_18
| spl0_288
| spl0_89 ),
inference(avatar_split_clause,[],[f19756,f1911,f12744,f227,f13214,f12718]) ).
thf(f26851,plain,
( spl0_18
| spl0_286
| spl0_287
| spl0_235
| spl0_248 ),
inference(avatar_split_clause,[],[f25219,f10314,f10255,f12735,f12727,f227]) ).
thf(f26852,plain,
( spl0_235
| spl0_18
| spl0_286
| ~ spl0_310
| spl0_248 ),
inference(avatar_split_clause,[],[f25220,f10314,f13245,f12727,f227,f10255]) ).
thf(f26856,plain,
( spl0_20
| spl0_18
| spl0_70
| spl0_33
| spl0_75 ),
inference(avatar_split_clause,[],[f22822,f1619,f348,f1601,f227,f234]) ).
thf(f26857,plain,
( spl0_20
| spl0_18
| spl0_247
| spl0_286
| spl0_248 ),
inference(avatar_split_clause,[],[f25218,f10314,f12727,f10298,f227,f234]) ).
thf(f26862,plain,
( spl0_20
| spl0_285
| spl0_250
| spl0_18
| spl0_89 ),
inference(avatar_split_clause,[],[f19757,f1911,f227,f10383,f12718,f234]) ).
thf(f26864,plain,
( ~ spl0_316
| spl0_284
| ~ spl0_10
| spl0_440
| spl0_248 ),
inference(avatar_split_clause,[],[f25226,f10314,f22139,f133,f12705,f13707]) ).
thf(f26865,plain,
( ~ spl0_72
| spl0_328
| ~ spl0_10
| spl0_76
| spl0_89 ),
inference(avatar_split_clause,[],[f19764,f1911,f1623,f133,f14528,f1608]) ).
thf(f26866,plain,
( spl0_284
| ~ spl0_10
| spl0_455
| spl0_248 ),
inference(avatar_split_clause,[],[f25222,f10314,f25253,f133,f12705]) ).
thf(f26867,plain,
( spl0_4
| spl0_18
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f26849,f405,f227,f81]) ).
thf(f26903,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_122 ),
inference(constrained_superposition,[],[f27,f3122]) ).
thf(f26904,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f26903]) ).
thf(f26905,plain,
( spl0_104
| spl0_82
| ~ spl0_122 ),
inference(avatar_split_clause,[],[f26904,f3121,f1661,f2371]) ).
thf(f26916,plain,
( $false
| ~ spl0_76
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f1624,f2372]) ).
thf(f26917,plain,
( ~ spl0_76
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f26916]) ).
thf(f26919,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f27,f224]) ).
thf(f26920,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f26919]) ).
thf(f26921,plain,
( spl0_43
| spl0_35
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f26920,f223,f364,f415]) ).
thf(f26922,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_14 ),
inference(constrained_superposition,[],[f2443,f924]) ).
thf(f26924,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_14 ),
inference(trivial_inequality_removal,[],[f26922]) ).
thf(f26957,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f27,f12740]) ).
thf(f26958,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f26957]) ).
thf(f26959,plain,
( spl0_6
| spl0_334
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f26958,f12718,f14672,f90]) ).
thf(f26995,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f27,f12728]) ).
thf(f26996,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f26995]) ).
thf(f26997,plain,
( spl0_6
| spl0_335
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f26996,f12727,f14699,f90]) ).
thf(f27014,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_49 ),
inference(constrained_superposition,[],[f497,f57]) ).
thf(f27015,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f27014]) ).
thf(f27021,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_14
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f27015,f2443]) ).
thf(f27022,plain,
( ~ spl0_10
| spl0_14
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f27021,f496,f212,f133]) ).
thf(f27023,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f26924,f26]) ).
thf(f27024,plain,
( spl0_20
| spl0_2
| spl0_18
| spl0_14 ),
inference(avatar_split_clause,[],[f27023,f212,f227,f74,f234]) ).
thf(f27025,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f27,f75]) ).
thf(f27026,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f27025]) ).
thf(f27027,plain,
( spl0_5
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f27026,f74,f90,f87]) ).
thf(f27061,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_5
| ~ spl0_238 ),
inference(constrained_superposition,[],[f88,f10266]) ).
thf(f27063,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_5
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f27061]) ).
thf(f27065,plain,
( $false
| ~ spl0_5
| ~ spl0_238
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f27063,f12740]) ).
thf(f27066,plain,
( ~ spl0_5
| ~ spl0_238
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[],[f27065]) ).
thf(f27185,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f7564,f169]) ).
thf(f27194,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f27185]) ).
thf(f27200,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_43
| ~ spl0_247 ),
inference(constrained_superposition,[],[f416,f10299]) ).
thf(f27203,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_43
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f27200]) ).
thf(f27206,plain,
( $false
| ~ spl0_43
| ~ spl0_240
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f27203,f10274]) ).
thf(f27207,plain,
( ~ spl0_43
| ~ spl0_240
| ~ spl0_247 ),
inference(avatar_contradiction_clause,[],[f27206]) ).
thf(f27238,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f79,f170]) ).
thf(f27251,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f27238]) ).
thf(f27272,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_348 ),
inference(constrained_superposition,[],[f15370,f30]) ).
thf(f27273,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_348 ),
inference(trivial_inequality_removal,[],[f27272]) ).
thf(f27276,plain,
( spl0_358
| spl0_359
| spl0_348 ),
inference(avatar_split_clause,[],[f27273,f15369,f15434,f15431]) ).
thf(f27287,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f199,f26564]) ).
thf(f27289,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f69,f26564]) ).
thf(f27308,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f27289]) ).
thf(f27309,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f27287]) ).
thf(f27332,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_400 ),
inference(constrained_superposition,[],[f29,f26586]) ).
thf(f27335,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f27332]) ).
thf(f27352,plain,
( spl0_427
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f27335,f18217,f21814]) ).
thf(f27403,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f1702,f924]) ).
thf(f27410,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f27403]) ).
thf(f27411,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f27410,f88]) ).
thf(f27412,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_85
| spl0_122 ),
inference(forward_subsumption_resolution,[],[f27411,f23742]) ).
thf(f27413,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_5
| spl0_70
| ~ spl0_85
| spl0_122 ),
inference(forward_subsumption_resolution,[],[f27412,f14826]) ).
thf(f27415,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_5
| spl0_70
| ~ spl0_85
| spl0_122
| ~ spl0_359 ),
inference(constrained_superposition,[],[f27413,f15435]) ).
thf(f27417,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_5
| spl0_70
| ~ spl0_85
| spl0_122
| ~ spl0_359 ),
inference(trivial_inequality_removal,[],[f27415]) ).
thf(f27420,plain,
( spl0_266
| ~ spl0_5
| spl0_70
| ~ spl0_85
| spl0_122
| ~ spl0_359 ),
inference(avatar_split_clause,[],[f27417,f15434,f3121,f1701,f1601,f87,f11279]) ).
thf(f27423,plain,
( spl0_75
| ~ spl0_15
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f27194,f7563,f216,f1619]) ).
thf(f27426,plain,
( spl0_75
| spl0_242
| ~ spl0_234
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f27309,f10245,f10252,f10280,f1619]) ).
thf(f27427,plain,
( spl0_76
| ~ spl0_239
| spl0_242
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f27308,f10245,f10280,f10270,f1623]) ).
thf(f27483,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_237 ),
inference(constrained_superposition,[],[f10263,f30]) ).
thf(f27484,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_237 ),
inference(trivial_inequality_removal,[],[f27483]) ).
thf(f27487,plain,
( spl0_240
| spl0_252
| spl0_237 ),
inference(avatar_split_clause,[],[f27484,f10262,f10407,f10273]) ).
thf(f27494,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_246 ),
inference(constrained_superposition,[],[f27,f10295]) ).
thf(f27495,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_246 ),
inference(trivial_inequality_removal,[],[f27494]) ).
thf(f27496,plain,
( spl0_253
| spl0_254
| ~ spl0_246 ),
inference(avatar_split_clause,[],[f27495,f10294,f10518,f10460]) ).
thf(f27523,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_232 ),
inference(constrained_superposition,[],[f10246,f54]) ).
thf(f27525,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_232 ),
inference(constrained_superposition,[],[f10246,f30]) ).
thf(f27526,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_232 ),
inference(trivial_inequality_removal,[],[f27525]) ).
thf(f27530,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_232 ),
inference(trivial_inequality_removal,[],[f27523]) ).
thf(f27531,plain,
( spl0_256
| spl0_257
| spl0_232 ),
inference(avatar_split_clause,[],[f27526,f10245,f10581,f10577]) ).
thf(f27534,plain,
( spl0_33
| spl0_256
| spl0_232 ),
inference(avatar_split_clause,[],[f27530,f10245,f10577,f348]) ).
thf(f27535,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_235 ),
inference(constrained_superposition,[],[f27,f10256]) ).
thf(f27536,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f27535]) ).
thf(f27537,plain,
( spl0_254
| spl0_296
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f27536,f10255,f12910,f10518]) ).
thf(f27549,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_82
| ~ spl0_256 ),
inference(constrained_superposition,[],[f1662,f10578]) ).
thf(f27550,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_256 ),
inference(constrained_superposition,[],[f27,f10578]) ).
thf(f27551,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_82
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f27549]) ).
thf(f27552,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_256 ),
inference(trivial_inequality_removal,[],[f27550]) ).
thf(f27553,plain,
( $false
| ~ spl0_82
| ~ spl0_256
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f27551,f12740]) ).
thf(f27554,plain,
( ~ spl0_82
| ~ spl0_256
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[],[f27553]) ).
thf(f27555,plain,
( spl0_104
| spl0_258
| ~ spl0_256 ),
inference(avatar_split_clause,[],[f27552,f10577,f10739,f2371]) ).
thf(f27573,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f27,f228]) ).
thf(f27574,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f27573]) ).
thf(f27575,plain,
( spl0_6
| spl0_22
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f27574,f227,f249,f90]) ).
thf(f27576,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f27,f213]) ).
thf(f27577,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f27576]) ).
thf(f27578,plain,
( spl0_28
| spl0_43
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f27577,f212,f415,f279]) ).
thf(f27599,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f27,f1624]) ).
thf(f27600,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f27599]) ).
thf(f27602,plain,
( spl0_35
| spl0_85
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f27600,f1623,f1701,f364]) ).
thf(f27620,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f27,f12736]) ).
thf(f27621,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f27620]) ).
thf(f27622,plain,
( spl0_254
| spl0_335
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f27621,f12735,f14699,f10518]) ).
thf(f27666,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_361 ),
inference(constrained_superposition,[],[f714,f15453]) ).
thf(f27777,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_361 ),
inference(forward_subsumption_resolution,[],[f27666,f25]) ).
thf(f27797,plain,
( $false
| ~ spl0_361 ),
inference(forward_subsumption_resolution,[],[f27777,f31]) ).
thf(f27798,plain,
~ spl0_361,
inference(avatar_contradiction_clause,[],[f27797]) ).
thf(f27817,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_22
| ~ spl0_250 ),
inference(constrained_superposition,[],[f250,f10384]) ).
thf(f27820,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_22
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f27817]) ).
thf(f27822,plain,
( $false
| ~ spl0_22
| ~ spl0_250
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f27820,f12740]) ).
thf(f27823,plain,
( ~ spl0_22
| ~ spl0_250
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[],[f27822]) ).
thf(f27858,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f27,f1620]) ).
thf(f27859,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f27858]) ).
thf(f27861,plain,
( spl0_83
| spl0_28
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f27859,f1619,f279,f1665]) ).
thf(f27862,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f27,f1641]) ).
thf(f27863,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f27862]) ).
thf(f27864,plain,
( spl0_104
| spl0_83
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f27863,f1640,f1665,f2371]) ).
thf(f27881,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f27,f10266]) ).
thf(f27882,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f27881]) ).
thf(f27883,plain,
( spl0_249
| spl0_35
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f27882,f10265,f364,f10366]) ).
thf(f27890,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f27,f12706]) ).
thf(f27891,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f27890]) ).
thf(f27892,plain,
( spl0_294
| spl0_249
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f27891,f12705,f10366,f12870]) ).
thf(f27905,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_247 ),
inference(constrained_superposition,[],[f27,f10299]) ).
thf(f27907,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f27905]) ).
thf(f27908,plain,
( spl0_28
| spl0_296
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f27907,f10298,f12910,f279]) ).
thf(f27922,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f439,f26564]) ).
thf(f27924,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f158,f26564]) ).
thf(f27940,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f27924]) ).
thf(f27944,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f27922]) ).
thf(f27972,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_85
| ~ spl0_230 ),
inference(constrained_superposition,[],[f1702,f10240]) ).
thf(f27974,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_85
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f27972]) ).
thf(f27977,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_85
| ~ spl0_230 ),
inference(constrained_superposition,[],[f27974,f924]) ).
thf(f27980,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_85
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f27977]) ).
thf(f27982,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_85
| ~ spl0_230
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f27980,f13785]) ).
thf(f27983,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_2
| ~ spl0_85
| ~ spl0_230
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f27982,f2141]) ).
thf(f27984,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_2
| ~ spl0_85
| ~ spl0_230
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f27983,f26]) ).
thf(f27985,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_85
| ~ spl0_230
| spl0_286 ),
inference(forward_subsumption_resolution,[],[f27984,f1225]) ).
thf(f27986,plain,
( spl0_2
| spl0_4
| ~ spl0_85
| ~ spl0_230
| spl0_286 ),
inference(avatar_contradiction_clause,[],[f27985]) ).
thf(f27993,plain,
( ( $true != $true )
| ~ spl0_35
| ~ spl0_284 ),
inference(constrained_superposition,[],[f365,f12706]) ).
thf(f28000,plain,
( $false
| ~ spl0_35
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f27993]) ).
thf(f28001,plain,
( ~ spl0_35
| ~ spl0_284 ),
inference(avatar_contradiction_clause,[],[f28000]) ).
thf(f28008,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_70 ),
inference(constrained_superposition,[],[f27,f1602]) ).
thf(f28009,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_70 ),
inference(trivial_inequality_removal,[],[f28008]) ).
thf(f28116,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_83
| ~ spl0_230 ),
inference(constrained_superposition,[],[f1666,f10240]) ).
thf(f28121,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_83
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f28116]) ).
thf(f28123,plain,
( $false
| ~ spl0_83
| ~ spl0_230
| ~ spl0_247 ),
inference(forward_subsumption_resolution,[],[f28121,f10299]) ).
thf(f28124,plain,
( ~ spl0_83
| ~ spl0_230
| ~ spl0_247 ),
inference(avatar_contradiction_clause,[],[f28123]) ).
thf(f28125,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_307 ),
inference(constrained_superposition,[],[f27,f13232]) ).
thf(f28126,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f28125]) ).
thf(f28127,plain,
( spl0_294
| spl0_258
| ~ spl0_307 ),
inference(avatar_split_clause,[],[f28126,f13231,f10739,f12870]) ).
thf(f28218,plain,
( $false
| ~ spl0_35
| ~ spl0_246 ),
inference(forward_subsumption_resolution,[],[f10295,f365]) ).
thf(f28219,plain,
( ~ spl0_35
| ~ spl0_246 ),
inference(avatar_contradiction_clause,[],[f28218]) ).
thf(f28245,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_234 ),
inference(constrained_superposition,[],[f10253,f30]) ).
thf(f28248,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_234 ),
inference(trivial_inequality_removal,[],[f28245]) ).
thf(f28251,plain,
( spl0_251
| spl0_250
| spl0_234 ),
inference(avatar_split_clause,[],[f28248,f10252,f10383,f10388]) ).
thf(f28253,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_302 ),
inference(constrained_superposition,[],[f27,f13215]) ).
thf(f28254,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f28253]) ).
thf(f28255,plain,
( spl0_294
| spl0_255
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f28254,f13214,f10555,f12870]) ).
thf(f28258,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_250 ),
inference(constrained_superposition,[],[f27,f10384]) ).
thf(f28259,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_250 ),
inference(trivial_inequality_removal,[],[f28258]) ).
thf(f28260,plain,
( spl0_255
| spl0_28
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f28259,f10383,f279,f10555]) ).
thf(f28267,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_230 ),
inference(constrained_superposition,[],[f27,f10240]) ).
thf(f28268,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f28267]) ).
thf(f28270,plain,
( spl0_104
| spl0_267
| ~ spl0_230 ),
inference(avatar_split_clause,[],[f28268,f10239,f11402,f2371]) ).
thf(f28271,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_241 ),
inference(constrained_superposition,[],[f27,f10278]) ).
thf(f28272,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_241 ),
inference(trivial_inequality_removal,[],[f28271]) ).
thf(f28273,plain,
( spl0_254
| spl0_267
| ~ spl0_241 ),
inference(avatar_split_clause,[],[f28272,f10277,f11402,f10518]) ).
thf(f28300,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_301 ),
inference(constrained_superposition,[],[f13211,f56]) ).
thf(f28311,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_301 ),
inference(trivial_inequality_removal,[],[f28300]) ).
thf(f28318,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_225 ),
inference(constrained_superposition,[],[f7547,f10178]) ).
thf(f28335,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_225 ),
inference(trivial_inequality_removal,[],[f28318]) ).
thf(f28393,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_365 ),
inference(constrained_superposition,[],[f27,f15546]) ).
thf(f28394,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f28393]) ).
thf(f28395,plain,
( spl0_364
| spl0_341
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f28394,f15545,f15303,f15488]) ).
thf(f28417,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_308 ),
inference(constrained_superposition,[],[f13236,f713]) ).
thf(f28419,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_308 ),
inference(constrained_superposition,[],[f13236,f169]) ).
thf(f28423,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_308 ),
inference(constrained_superposition,[],[f13236,f35]) ).
thf(f28427,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f28419]) ).
thf(f28430,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f28417]) ).
thf(f28434,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f28423]) ).
thf(f28455,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_255
| ~ spl0_307 ),
inference(constrained_superposition,[],[f10556,f13232]) ).
thf(f28461,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_255
| ~ spl0_307 ),
inference(trivial_inequality_removal,[],[f28455]) ).
thf(f28462,plain,
( $false
| ~ spl0_75
| ~ spl0_255
| ~ spl0_307 ),
inference(forward_subsumption_resolution,[],[f28461,f1620]) ).
thf(f28463,plain,
( ~ spl0_75
| ~ spl0_255
| ~ spl0_307 ),
inference(avatar_contradiction_clause,[],[f28462]) ).
thf(f28473,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_400 ),
inference(constrained_superposition,[],[f439,f26586]) ).
thf(f28475,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_400 ),
inference(constrained_superposition,[],[f158,f26586]) ).
thf(f28476,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_400 ),
inference(constrained_superposition,[],[f69,f26586]) ).
thf(f28478,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_400 ),
inference(constrained_superposition,[],[f42,f26586]) ).
thf(f28487,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f28476]) ).
thf(f28493,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f28473]) ).
thf(f28496,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f28475]) ).
thf(f28500,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f28478]) ).
thf(f28511,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_415 ),
inference(constrained_superposition,[],[f27,f20326]) ).
thf(f28512,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f28511]) ).
thf(f28514,plain,
( spl0_417
| spl0_294
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f28512,f20325,f12870,f20481]) ).
thf(f28549,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_225
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f28335,f26564]) ).
thf(f28550,plain,
( spl0_242
| spl0_241
| ~ spl0_225
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f28549,f10245,f10177,f10277,f10280]) ).
thf(f28551,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_142
| ~ spl0_402 ),
inference(constrained_superposition,[],[f4435,f21833]) ).
thf(f28560,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_402 ),
inference(constrained_superposition,[],[f439,f21833]) ).
thf(f28562,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_402 ),
inference(constrained_superposition,[],[f158,f21833]) ).
thf(f28563,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_402 ),
inference(constrained_superposition,[],[f69,f21833]) ).
thf(f28564,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_402 ),
inference(constrained_superposition,[],[f49,f21833]) ).
thf(f28574,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_402 ),
inference(trivial_inequality_removal,[],[f28564]) ).
thf(f28579,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_402 ),
inference(trivial_inequality_removal,[],[f28562]) ).
thf(f28583,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_142
| ~ spl0_402 ),
inference(trivial_inequality_removal,[],[f28551]) ).
thf(f28584,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_402 ),
inference(trivial_inequality_removal,[],[f28563]) ).
thf(f28586,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_402 ),
inference(trivial_inequality_removal,[],[f28560]) ).
thf(f28592,plain,
( ~ spl0_304
| ~ spl0_142
| ~ spl0_402 ),
inference(avatar_split_clause,[],[f28583,f18322,f4434,f13220]) ).
thf(f28598,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_242 ),
inference(constrained_superposition,[],[f10281,f169]) ).
thf(f28600,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_242 ),
inference(constrained_superposition,[],[f10281,f56]) ).
thf(f28613,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f28600]) ).
thf(f28614,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f28598]) ).
thf(f28620,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_228
| ~ spl0_426 ),
inference(constrained_superposition,[],[f21809,f10189]) ).
thf(f28625,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_228
| ~ spl0_426 ),
inference(trivial_inequality_removal,[],[f28620]) ).
thf(f28635,plain,
( $false
| ~ spl0_228
| ~ spl0_402
| ~ spl0_426 ),
inference(forward_subsumption_resolution,[],[f28625,f21833]) ).
thf(f28636,plain,
( ~ spl0_228
| ~ spl0_402
| ~ spl0_426 ),
inference(avatar_contradiction_clause,[],[f28635]) ).
thf(f28639,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_258
| ~ spl0_302 ),
inference(constrained_superposition,[],[f10740,f13215]) ).
thf(f28643,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_258
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f28639]) ).
thf(f28645,plain,
( $false
| ~ spl0_81
| ~ spl0_258
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f28643,f1641]) ).
thf(f28646,plain,
( ~ spl0_81
| ~ spl0_258
| ~ spl0_302 ),
inference(avatar_contradiction_clause,[],[f28645]) ).
thf(f28652,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_75
| ~ spl0_139 ),
inference(constrained_superposition,[],[f4425,f1620]) ).
thf(f28654,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_76
| ~ spl0_139 ),
inference(constrained_superposition,[],[f4425,f1624]) ).
thf(f28682,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_75
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f28652]) ).
thf(f28690,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_76
| ~ spl0_139 ),
inference(trivial_inequality_removal,[],[f28654]) ).
thf(f28703,plain,
( spl0_82
| ~ spl0_75
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f28682,f4424,f1619,f1661]) ).
thf(f28710,plain,
( spl0_82
| ~ spl0_76
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f28690,f4424,f1623,f1661]) ).
thf(f28721,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f7547,f10182]) ).
thf(f28723,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f439,f10182]) ).
thf(f28737,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f28721]) ).
thf(f28742,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f28723]) ).
thf(f28752,plain,
( spl0_345
| spl0_241
| ~ spl0_346
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f28737,f10181,f15362,f10277,f15359]) ).
thf(f28754,plain,
( spl0_235
| ~ spl0_350
| spl0_351
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f28742,f10181,f15384,f15381,f10255]) ).
thf(f28760,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_362 ),
inference(constrained_superposition,[],[f27,f15469]) ).
thf(f28762,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_362 ),
inference(trivial_inequality_removal,[],[f28760]) ).
thf(f28763,plain,
( spl0_104
| spl0_364
| ~ spl0_362 ),
inference(avatar_split_clause,[],[f28762,f15468,f15488,f2371]) ).
thf(f28777,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_351 ),
inference(constrained_superposition,[],[f15385,f713]) ).
thf(f28781,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_351 ),
inference(constrained_superposition,[],[f15385,f56]) ).
thf(f28783,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_351 ),
inference(constrained_superposition,[],[f15385,f35]) ).
thf(f28788,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f28777]) ).
thf(f28791,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f28781]) ).
thf(f28793,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_351 ),
inference(trivial_inequality_removal,[],[f28783]) ).
thf(f28802,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227
| ~ spl0_267 ),
inference(constrained_superposition,[],[f11403,f10185]) ).
thf(f28804,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_227
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f28802]) ).
thf(f28807,plain,
( $false
| ~ spl0_227
| ~ spl0_267
| ~ spl0_362 ),
inference(forward_subsumption_resolution,[],[f28804,f15469]) ).
thf(f28808,plain,
( ~ spl0_227
| ~ spl0_267
| ~ spl0_362 ),
inference(avatar_contradiction_clause,[],[f28807]) ).
thf(f28819,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_225
| ~ spl0_429 ),
inference(constrained_superposition,[],[f21852,f10178]) ).
thf(f28831,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_225
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f28819]) ).
thf(f28834,plain,
( $false
| ~ spl0_225
| ~ spl0_400
| ~ spl0_429 ),
inference(forward_subsumption_resolution,[],[f28831,f26586]) ).
thf(f28835,plain,
( ~ spl0_225
| ~ spl0_400
| ~ spl0_429 ),
inference(avatar_contradiction_clause,[],[f28834]) ).
thf(f28853,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_490 ),
inference(constrained_superposition,[],[f26477,f34]) ).
thf(f28857,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_225
| ~ spl0_490 ),
inference(constrained_superposition,[],[f26477,f10178]) ).
thf(f28861,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_490 ),
inference(constrained_superposition,[],[f26477,f57]) ).
thf(f28867,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_225
| ~ spl0_490 ),
inference(trivial_inequality_removal,[],[f28857]) ).
thf(f28869,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_490 ),
inference(trivial_inequality_removal,[],[f28861]) ).
thf(f28870,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_490 ),
inference(trivial_inequality_removal,[],[f28853]) ).
thf(f28872,plain,
( $false
| ~ spl0_225
| ~ spl0_232
| ~ spl0_490 ),
inference(forward_subsumption_resolution,[],[f28867,f26564]) ).
thf(f28873,plain,
( ~ spl0_225
| ~ spl0_232
| ~ spl0_490 ),
inference(avatar_contradiction_clause,[],[f28872]) ).
thf(f28874,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35
| ~ spl0_490 ),
inference(forward_subsumption_resolution,[],[f28869,f365]) ).
thf(f28875,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_490 ),
inference(forward_subsumption_resolution,[],[f28870,f91]) ).
thf(f28876,plain,
( ~ spl0_113
| ~ spl0_35
| ~ spl0_490 ),
inference(avatar_split_clause,[],[f28874,f26476,f364,f2588]) ).
thf(f28877,plain,
( ~ spl0_72
| ~ spl0_6
| ~ spl0_490 ),
inference(avatar_split_clause,[],[f28875,f26476,f90,f1608]) ).
thf(f28896,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_221
| ~ spl0_364 ),
inference(constrained_superposition,[],[f15489,f10164]) ).
thf(f28899,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_221
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f28896]) ).
thf(f28904,plain,
( $false
| ~ spl0_221
| ~ spl0_230
| ~ spl0_364 ),
inference(forward_subsumption_resolution,[],[f28899,f10240]) ).
thf(f28905,plain,
( ~ spl0_221
| ~ spl0_230
| ~ spl0_364 ),
inference(avatar_contradiction_clause,[],[f28904]) ).
thf(f29125,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_499 ),
inference(constrained_superposition,[],[f26778,f57]) ).
thf(f29127,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_499 ),
inference(trivial_inequality_removal,[],[f29125]) ).
thf(f29136,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35
| ~ spl0_499 ),
inference(forward_subsumption_resolution,[],[f29127,f365]) ).
thf(f29137,plain,
( ~ spl0_8
| ~ spl0_113
| ~ spl0_35
| ~ spl0_499 ),
inference(avatar_split_clause,[],[f29136,f26777,f364,f2588,f107]) ).
thf(f29139,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_501 ),
inference(constrained_superposition,[],[f26791,f34]) ).
thf(f29155,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_501 ),
inference(trivial_inequality_removal,[],[f29139]) ).
thf(f29158,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_501 ),
inference(forward_subsumption_resolution,[],[f29155,f91]) ).
thf(f29159,plain,
( ~ spl0_72
| ~ spl0_10
| ~ spl0_6
| ~ spl0_501 ),
inference(avatar_split_clause,[],[f29158,f26790,f90,f133,f1608]) ).
thf(f29161,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_500 ),
inference(constrained_superposition,[],[f26787,f34]) ).
thf(f29169,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_500 ),
inference(constrained_superposition,[],[f26787,f57]) ).
thf(f29175,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f29161]) ).
thf(f29176,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_500 ),
inference(trivial_inequality_removal,[],[f29169]) ).
thf(f29180,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_6
| ~ spl0_500 ),
inference(forward_subsumption_resolution,[],[f29175,f91]) ).
thf(f29181,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_35
| ~ spl0_500 ),
inference(forward_subsumption_resolution,[],[f29176,f365]) ).
thf(f29182,plain,
( ~ spl0_32
| ~ spl0_72
| ~ spl0_6
| ~ spl0_500 ),
inference(avatar_split_clause,[],[f29180,f26786,f90,f1608,f334]) ).
thf(f29183,plain,
( ~ spl0_30
| ~ spl0_113
| ~ spl0_35
| ~ spl0_500 ),
inference(avatar_split_clause,[],[f29181,f26786,f364,f2588,f327]) ).
thf(f29193,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_427 ),
inference(constrained_superposition,[],[f21815,f57]) ).
thf(f29198,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f29193]) ).
thf(f29205,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_35
| ~ spl0_427 ),
inference(forward_subsumption_resolution,[],[f29198,f365]) ).
thf(f29207,plain,
( spl0_190
| ~ spl0_113
| ~ spl0_35
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f29205,f21814,f364,f2588,f7650]) ).
thf(f29209,plain,
( spl0_362
| ~ spl0_140
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f28788,f15384,f4428,f15468]) ).
thf(f29210,plain,
( spl0_359
| ~ spl0_30
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f28791,f15384,f327,f15434]) ).
thf(f29211,plain,
( spl0_302
| spl0_142
| ~ spl0_140
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f28493,f18217,f4428,f4434,f13214]) ).
thf(f29212,plain,
( spl0_245
| ~ spl0_239
| spl0_69
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f27940,f10245,f1597,f10270,f10291]) ).
thf(f29213,plain,
( spl0_105
| spl0_246
| ~ spl0_145
| ~ spl0_402 ),
inference(avatar_split_clause,[],[f28579,f18322,f4448,f10294,f2388]) ).
thf(f29214,plain,
( spl0_429
| spl0_240
| ~ spl0_145
| ~ spl0_402 ),
inference(avatar_split_clause,[],[f28584,f18322,f4448,f10273,f21851]) ).
thf(f29215,plain,
( spl0_284
| ~ spl0_113
| spl0_190
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f29198,f21814,f7650,f2588,f12705]) ).
thf(f29216,plain,
( spl0_235
| spl0_142
| ~ spl0_140
| ~ spl0_402 ),
inference(avatar_split_clause,[],[f28586,f18322,f4428,f4434,f10255]) ).
thf(f29217,plain,
( ~ spl0_32
| spl0_356
| ~ spl0_351 ),
inference(avatar_split_clause,[],[f28793,f15384,f15415,f334]) ).
thf(f29218,plain,
( spl0_82
| spl0_6
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f28009,f1601,f90,f1661]) ).
thf(f29223,plain,
( ~ spl0_11
| spl0_247
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f28427,f13235,f10298,f202]) ).
thf(f29224,plain,
( ~ spl0_10
| spl0_286
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f28434,f13235,f12727,f133]) ).
thf(f29225,plain,
( ~ spl0_145
| spl0_284
| spl0_105
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f28496,f18217,f2388,f12705,f4448]) ).
thf(f29226,plain,
( spl0_230
| ~ spl0_145
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f28430,f13235,f4448,f10239]) ).
thf(f29229,plain,
( ~ spl0_113
| spl0_238
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f28613,f10280,f10265,f2588]) ).
thf(f29230,plain,
( spl0_240
| ~ spl0_8
| ~ spl0_301 ),
inference(avatar_split_clause,[],[f28311,f13210,f107,f10273]) ).
thf(f29231,plain,
( spl0_238
| ~ spl0_145
| spl0_426
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f28487,f18217,f21808,f4448,f10265]) ).
thf(f29233,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f27,f235]) ).
thf(f29234,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f29233]) ).
thf(f29235,plain,
( spl0_22
| spl0_28
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f29234,f234,f279,f249]) ).
thf(f29240,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_17 ),
inference(constrained_superposition,[],[f2187,f924]) ).
thf(f29243,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_17 ),
inference(trivial_inequality_removal,[],[f29240]) ).
thf(f29246,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f27,f1598]) ).
thf(f29247,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f29246]) ).
thf(f29249,plain,
( spl0_85
| spl0_104
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f29247,f1597,f2371,f1701]) ).
thf(f29267,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_64
| spl0_122 ),
inference(constrained_superposition,[],[f23742,f1228]) ).
thf(f29274,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_64
| spl0_122 ),
inference(trivial_inequality_removal,[],[f29267]) ).
thf(f29279,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_64
| spl0_122 ),
inference(forward_subsumption_resolution,[],[f29274,f26]) ).
thf(f29283,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_64
| spl0_89
| spl0_122 ),
inference(forward_subsumption_resolution,[],[f29279,f19719]) ).
thf(f29286,plain,
( $false
| ~ spl0_64
| spl0_84
| spl0_89
| spl0_122 ),
inference(forward_subsumption_resolution,[],[f29283,f10130]) ).
thf(f29287,plain,
( ~ spl0_64
| spl0_84
| spl0_89
| spl0_122 ),
inference(avatar_contradiction_clause,[],[f29286]) ).
thf(f29291,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_288 ),
inference(constrained_superposition,[],[f27,f12745]) ).
thf(f29292,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_288 ),
inference(trivial_inequality_removal,[],[f29291]) ).
thf(f29293,plain,
( spl0_294
| spl0_334
| ~ spl0_288 ),
inference(avatar_split_clause,[],[f29292,f12744,f14672,f12870]) ).
thf(f29317,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_240 ),
inference(constrained_superposition,[],[f27,f10274]) ).
thf(f29318,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f29317]) ).
thf(f29319,plain,
( spl0_253
| spl0_35
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f29318,f10273,f364,f10460]) ).
thf(f29350,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_81
| ~ spl0_82 ),
inference(constrained_superposition,[],[f1662,f1641]) ).
thf(f29354,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_81
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f29350]) ).
thf(f29356,plain,
( $false
| ~ spl0_18
| ~ spl0_81
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f29354,f228]) ).
thf(f29357,plain,
( ~ spl0_18
| ~ spl0_81
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f29356]) ).
thf(f29359,plain,
( ~ spl0_78
| spl0_429
| spl0_286
| ~ spl0_402 ),
inference(avatar_split_clause,[],[f28574,f18322,f12727,f21851,f1630]) ).
thf(f29360,plain,
( ~ spl0_78
| spl0_183
| spl0_288
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f28500,f18217,f12744,f7563,f1630]) ).
thf(f29361,plain,
( spl0_250
| ~ spl0_110
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f28614,f10280,f2578,f10383]) ).
thf(f29363,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_4
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f29243,f1225]) ).
thf(f29364,plain,
( spl0_81
| spl0_233
| ~ spl0_234
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f27944,f10245,f10252,f10249,f1640]) ).
thf(f29365,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_3
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f27251,f2187]) ).
thf(f29367,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_4
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f29363,f26]) ).
thf(f29368,plain,
( ~ spl0_15
| spl0_47
| ~ spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f29365,f223,f78,f455,f216]) ).
thf(f29369,plain,
( spl0_2
| spl0_18
| spl0_4
| spl0_17 ),
inference(avatar_split_clause,[],[f29367,f223,f81,f227,f74]) ).
thf(f29391,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_24
| ~ spl0_296 ),
inference(constrained_superposition,[],[f12911,f263]) ).
thf(f29396,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_24
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f29391]) ).
thf(f29399,plain,
( $false
| ~ spl0_24
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f29396,f263]) ).
thf(f29400,plain,
( ~ spl0_24
| ~ spl0_296 ),
inference(avatar_contradiction_clause,[],[f29399]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f76]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f83]) ).
cnf(s5,plain,
( spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f115]) ).
cnf(s9,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f141]) ).
cnf(s17,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f245]) ).
cnf(s20,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f254]) ).
cnf(s22,plain,
( ~ spl0_6
| ~ spl0_10
| spl0_24
| spl0_25 ),
inference(sat_conversion,[],[f267]) ).
cnf(s23,plain,
( ~ spl0_10
| spl0_25
| spl0_26 ),
inference(sat_conversion,[],[f271]) ).
cnf(s24,plain,
( ~ spl0_10
| spl0_27 ),
inference(sat_conversion,[],[f275]) ).
cnf(s27,plain,
( spl0_11
| ~ spl0_28 ),
inference(sat_conversion,[],[f293]) ).
cnf(s30,plain,
( spl0_14
| spl0_30
| spl0_33 ),
inference(sat_conversion,[],[f350]) ).
cnf(s31,plain,
( spl0_14
| spl0_30 ),
inference(sat_conversion,[],[f351]) ).
cnf(s33,plain,
( ~ spl0_9
| spl0_34
| spl0_35 ),
inference(sat_conversion,[],[f366]) ).
cnf(s34,plain,
( ~ spl0_9
| ~ spl0_28 ),
inference(sat_conversion,[],[f368]) ).
cnf(s35,plain,
( ~ spl0_11
| ~ spl0_28
| spl0_36 ),
inference(sat_conversion,[],[f389]) ).
cnf(s36,plain,
( ~ spl0_15
| ~ spl0_28
| spl0_37
| spl0_38 ),
inference(sat_conversion,[],[f396]) ).
cnf(s38,plain,
( ~ spl0_11
| ~ spl0_28
| spl0_40
| spl0_41 ),
inference(sat_conversion,[],[f407]) ).
cnf(s39,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_28
| spl0_42 ),
inference(sat_conversion,[],[f412]) ).
cnf(s41,plain,
( spl0_20
| spl0_32 ),
inference(sat_conversion,[],[f418]) ).
cnf(s45,plain,
( ~ spl0_11
| spl0_41
| spl0_46 ),
inference(sat_conversion,[],[f453]) ).
cnf(s47,plain,
( ~ spl0_15
| spl0_38
| spl0_48 ),
inference(sat_conversion,[],[f461]) ).
cnf(s51,plain,
( ~ spl0_32
| spl0_48
| spl0_49 ),
inference(sat_conversion,[],[f498]) ).
cnf(s53,plain,
( ~ spl0_10
| spl0_51
| spl0_52 ),
inference(sat_conversion,[],[f595]) ).
cnf(s54,plain,
( ~ spl0_32
| spl0_53
| spl0_54 ),
inference(sat_conversion,[],[f602]) ).
cnf(s57,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_22 ),
inference(sat_conversion,[],[f619]) ).
cnf(s65,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_32
| spl0_58 ),
inference(sat_conversion,[],[f820]) ).
cnf(s66,plain,
( spl0_28
| ~ spl0_58
| spl0_59 ),
inference(sat_conversion,[],[f856]) ).
cnf(s71,plain,
( ~ spl0_2
| ~ spl0_35 ),
inference(sat_conversion,[],[f1203]) ).
cnf(s73,plain,
( ~ spl0_4
| ~ spl0_20
| ~ spl0_43 ),
inference(sat_conversion,[],[f1230]) ).
cnf(s75,plain,
( spl0_35
| ~ spl0_51
| spl0_65 ),
inference(sat_conversion,[],[f1257]) ).
cnf(s81,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_51
| ~ spl0_65
| spl0_66 ),
inference(sat_conversion,[],[f1353]) ).
cnf(s92,plain,
( ~ spl0_46
| spl0_69
| ~ spl0_70
| spl0_83 ),
inference(sat_conversion,[],[f1667]) ).
cnf(s93,plain,
( ~ spl0_17
| ~ spl0_54
| ~ spl0_65
| ~ spl0_70
| spl0_82
| spl0_84 ),
inference(sat_conversion,[],[f1671]) ).
cnf(s97,plain,
( ~ spl0_46
| spl0_69
| ~ spl0_76
| spl0_83 ),
inference(sat_conversion,[],[f1705]) ).
cnf(s98,plain,
( ~ spl0_17
| ~ spl0_54
| ~ spl0_65
| ~ spl0_76
| spl0_82
| spl0_84 ),
inference(sat_conversion,[],[f1706]) ).
cnf(s100,plain,
( spl0_33
| ~ spl0_66
| ~ spl0_76
| spl0_82 ),
inference(sat_conversion,[],[f1708]) ).
cnf(s101,plain,
( ~ spl0_5
| ~ spl0_70
| ~ spl0_76 ),
inference(sat_conversion,[],[f1710]) ).
cnf(s103,plain,
( spl0_70
| spl0_78 ),
inference(sat_conversion,[],[f1715]) ).
cnf(s104,plain,
( ~ spl0_47
| spl0_70
| ~ spl0_76
| spl0_83 ),
inference(sat_conversion,[],[f1717]) ).
cnf(s109,plain,
~ spl0_84,
inference(sat_conversion,[],[f1865]) ).
cnf(s132,plain,
~ spl0_89,
inference(sat_conversion,[],[f2094]) ).
cnf(s188,plain,
~ spl0_33,
inference(sat_conversion,[],[f2410]) ).
cnf(s198,plain,
( spl0_17
| spl0_20
| ~ spl0_51 ),
inference(sat_conversion,[],[f2450]) ).
cnf(s206,plain,
( ~ spl0_20
| ~ spl0_37
| ~ spl0_83 ),
inference(sat_conversion,[],[f2473]) ).
cnf(s208,plain,
( spl0_14
| spl0_20
| ~ spl0_26 ),
inference(sat_conversion,[],[f2490]) ).
cnf(s211,plain,
( spl0_69
| spl0_113 ),
inference(sat_conversion,[],[f2597]) ).
cnf(s212,plain,
( spl0_69
| spl0_89
| spl0_113 ),
inference(sat_conversion,[],[f2599]) ).
cnf(s215,plain,
( ~ spl0_14
| ~ spl0_69
| ~ spl0_83 ),
inference(sat_conversion,[],[f2612]) ).
cnf(s216,plain,
( ~ spl0_2
| ~ spl0_69
| ~ spl0_82 ),
inference(sat_conversion,[],[f2614]) ).
cnf(s219,plain,
( spl0_6
| ~ spl0_42
| spl0_114 ),
inference(sat_conversion,[],[f2652]) ).
cnf(s226,plain,
( ~ spl0_2
| ~ spl0_69
| ~ spl0_114 ),
inference(sat_conversion,[],[f2701]) ).
cnf(s229,plain,
( ~ spl0_35
| ~ spl0_69 ),
inference(sat_conversion,[],[f2721]) ).
cnf(s231,plain,
( ~ spl0_14
| ~ spl0_35 ),
inference(sat_conversion,[],[f2728]) ).
cnf(s238,plain,
( spl0_6
| ~ spl0_17
| ~ spl0_34
| ~ spl0_47
| spl0_114 ),
inference(sat_conversion,[],[f2848]) ).
cnf(s243,plain,
( ~ spl0_11
| ~ spl0_36
| spl0_117 ),
inference(sat_conversion,[],[f2943]) ).
cnf(s246,plain,
( spl0_33
| ~ spl0_76
| ~ spl0_108 ),
inference(sat_conversion,[],[f2982]) ).
cnf(s252,plain,
( ~ spl0_48
| ~ spl0_76
| spl0_83
| spl0_122 ),
inference(sat_conversion,[],[f3123]) ).
cnf(s254,plain,
( ~ spl0_17
| ~ spl0_48
| ~ spl0_85
| spl0_122 ),
inference(sat_conversion,[],[f3126]) ).
cnf(s256,plain,
( ~ spl0_48
| ~ spl0_70
| spl0_83
| spl0_122 ),
inference(sat_conversion,[],[f3132]) ).
cnf(s257,plain,
( spl0_72
| spl0_122 ),
inference(sat_conversion,[],[f3133]) ).
cnf(s259,plain,
( ~ spl0_18
| ~ spl0_48
| ~ spl0_82
| spl0_122 ),
inference(sat_conversion,[],[f3139]) ).
cnf(s260,plain,
( ~ spl0_17
| spl0_37
| ~ spl0_48
| ~ spl0_65 ),
inference(sat_conversion,[],[f3141]) ).
cnf(s262,plain,
( spl0_53
| ~ spl0_107 ),
inference(sat_conversion,[],[f3146]) ).
cnf(s264,plain,
( ~ spl0_17
| ~ spl0_34
| ~ spl0_48
| spl0_125 ),
inference(sat_conversion,[],[f3152]) ).
cnf(s284,plain,
( spl0_28
| ~ spl0_49
| spl0_132 ),
inference(sat_conversion,[],[f3465]) ).
cnf(s315,plain,
( ~ spl0_38
| spl0_47 ),
inference(sat_conversion,[],[f4593]) ).
cnf(s321,plain,
( ~ spl0_4
| ~ spl0_85
| ~ spl0_122 ),
inference(sat_conversion,[],[f4612]) ).
cnf(s344,plain,
( ~ spl0_70
| ~ spl0_104 ),
inference(sat_conversion,[],[f4704]) ).
cnf(s348,plain,
( ~ spl0_1
| ~ spl0_15
| spl0_17
| spl0_158 ),
inference(sat_conversion,[],[f4783]) ).
cnf(s358,plain,
( ~ spl0_20
| ~ spl0_83
| ~ spl0_122 ),
inference(sat_conversion,[],[f4905]) ).
cnf(s364,plain,
( ~ spl0_14
| ~ spl0_26
| ~ spl0_83
| spl0_122 ),
inference(sat_conversion,[],[f4924]) ).
cnf(s365,plain,
( ~ spl0_14
| ~ spl0_52
| ~ spl0_83
| spl0_89
| spl0_122 ),
inference(sat_conversion,[],[f4925]) ).
cnf(s368,plain,
( ~ spl0_8
| spl0_26
| spl0_165 ),
inference(sat_conversion,[],[f4938]) ).
cnf(s372,plain,
( spl0_14
| spl0_20
| spl0_33
| ~ spl0_52 ),
inference(sat_conversion,[],[f4974]) ).
cnf(s382,plain,
( spl0_35
| ~ spl0_117
| spl0_166 ),
inference(sat_conversion,[],[f5552]) ).
cnf(s384,plain,
( ~ spl0_5
| spl0_40
| ~ spl0_117
| ~ spl0_165 ),
inference(sat_conversion,[],[f5554]) ).
cnf(s391,plain,
( ~ spl0_14
| ~ spl0_132
| spl0_167 ),
inference(sat_conversion,[],[f5594]) ).
cnf(s392,plain,
( ~ spl0_52
| spl0_64
| ~ spl0_167 ),
inference(sat_conversion,[],[f5616]) ).
cnf(s423,plain,
( spl0_18
| spl0_20
| spl0_28
| spl0_173 ),
inference(sat_conversion,[],[f6952]) ).
cnf(s447,plain,
( spl0_76
| spl0_145 ),
inference(sat_conversion,[],[f7597]) ).
cnf(s448,plain,
( spl0_76
| spl0_89
| spl0_145 ),
inference(sat_conversion,[],[f7598]) ).
cnf(s451,plain,
( spl0_75
| spl0_140 ),
inference(sat_conversion,[],[f7609]) ).
cnf(s452,plain,
( spl0_75
| spl0_84
| spl0_140 ),
inference(sat_conversion,[],[f7610]) ).
cnf(s454,plain,
( ~ spl0_30
| spl0_76
| ~ spl0_142 ),
inference(sat_conversion,[],[f7627]) ).
cnf(s542,plain,
( ~ spl0_30
| spl0_81
| ~ spl0_190 ),
inference(sat_conversion,[],[f8376]) ).
cnf(s545,plain,
( ~ spl0_11
| spl0_75
| ~ spl0_105 ),
inference(sat_conversion,[],[f8402]) ).
cnf(s592,plain,
( spl0_84
| spl0_221
| spl0_222 ),
inference(sat_conversion,[],[f10168]) ).
cnf(s593,plain,
( ~ spl0_32
| spl0_81
| spl0_84
| spl0_223 ),
inference(sat_conversion,[],[f10172]) ).
cnf(s594,plain,
( spl0_84
| spl0_224
| spl0_225 ),
inference(sat_conversion,[],[f10179]) ).
cnf(s595,plain,
( spl0_84
| spl0_226
| spl0_227 ),
inference(sat_conversion,[],[f10186]) ).
cnf(s596,plain,
( spl0_84
| spl0_228
| spl0_229 ),
inference(sat_conversion,[],[f10193]) ).
cnf(s606,plain,
( spl0_238
| spl0_239
| spl0_248 ),
inference(sat_conversion,[],[f10316]) ).
cnf(s609,plain,
( spl0_89
| ~ spl0_108
| ~ spl0_238 ),
inference(sat_conversion,[],[f10363]) ).
cnf(s619,plain,
( ~ spl0_108
| ~ spl0_240
| spl0_248 ),
inference(sat_conversion,[],[f10465]) ).
cnf(s685,plain,
~ spl0_251,
inference(sat_conversion,[],[f11141]) ).
cnf(s735,plain,
( ~ spl0_145
| ~ spl0_245
| spl0_256 ),
inference(sat_conversion,[],[f11459]) ).
cnf(s736,plain,
( ~ spl0_11
| ~ spl0_245
| spl0_250 ),
inference(sat_conversion,[],[f11461]) ).
cnf(s766,plain,
( spl0_2
| spl0_18
| spl0_20
| ~ spl0_165
| ~ spl0_173
| spl0_281 ),
inference(sat_conversion,[],[f11579]) ).
cnf(s771,plain,
( ~ spl0_190
| spl0_246
| spl0_252
| ~ spl0_254
| spl0_282 ),
inference(sat_conversion,[],[f11636]) ).
cnf(s818,plain,
~ spl0_248,
inference(sat_conversion,[],[f12010]) ).
cnf(s859,plain,
~ spl0_266,
inference(sat_conversion,[],[f12339]) ).
cnf(s907,plain,
~ spl0_252,
inference(sat_conversion,[],[f12644]) ).
cnf(s922,plain,
( ~ spl0_34
| ~ spl0_224
| ~ spl0_238
| spl0_286 ),
inference(sat_conversion,[],[f12729]) ).
cnf(s927,plain,
( ~ spl0_114
| ~ spl0_224
| ~ spl0_285 ),
inference(sat_conversion,[],[f12738]) ).
cnf(s937,plain,
( spl0_18
| spl0_20
| ~ spl0_173
| spl0_251
| spl0_285
| spl0_288
| spl0_291 ),
inference(sat_conversion,[],[f12773]) ).
cnf(s938,plain,
( ~ spl0_125
| spl0_285
| spl0_288 ),
inference(sat_conversion,[],[f12774]) ).
cnf(s940,plain,
( spl0_18
| spl0_20
| spl0_89
| ~ spl0_173
| ~ spl0_224
| spl0_266
| spl0_285
| spl0_286 ),
inference(sat_conversion,[],[f12784]) ).
cnf(s945,plain,
( ~ spl0_48
| ~ spl0_224
| spl0_255
| spl0_288 ),
inference(sat_conversion,[],[f12822]) ).
cnf(s960,plain,
( ~ spl0_48
| ~ spl0_286
| spl0_287
| spl0_296 ),
inference(sat_conversion,[],[f12912]) ).
cnf(s961,plain,
( ~ spl0_46
| spl0_246
| ~ spl0_286
| spl0_296 ),
inference(sat_conversion,[],[f12914]) ).
cnf(s969,plain,
~ spl0_282,
inference(sat_conversion,[],[f13135]) ).
cnf(s976,plain,
( ~ spl0_48
| ~ spl0_250
| spl0_255
| spl0_288 ),
inference(sat_conversion,[],[f13158]) ).
cnf(s981,plain,
( ~ spl0_228
| spl0_288
| ~ spl0_300
| spl0_301 ),
inference(sat_conversion,[],[f13212]) ).
cnf(s986,plain,
( ~ spl0_27
| ~ spl0_43
| ~ spl0_53
| ~ spl0_228
| spl0_288
| ~ spl0_310 ),
inference(sat_conversion,[],[f13247]) ).
cnf(s991,plain,
( ~ spl0_46
| ~ spl0_229
| spl0_246
| spl0_296 ),
inference(sat_conversion,[],[f13298]) ).
cnf(s999,plain,
( spl0_247
| spl0_304 ),
inference(sat_conversion,[],[f13325]) ).
cnf(s1001,plain,
( spl0_247
| spl0_266
| spl0_304 ),
inference(sat_conversion,[],[f13328]) ).
cnf(s1010,plain,
( spl0_230
| spl0_306 ),
inference(sat_conversion,[],[f13394]) ).
cnf(s1028,plain,
( ~ spl0_140
| ~ spl0_233
| spl0_256 ),
inference(sat_conversion,[],[f13518]) ).
cnf(s1029,plain,
( ~ spl0_32
| ~ spl0_233
| spl0_285 ),
inference(sat_conversion,[],[f13519]) ).
cnf(s1030,plain,
( ~ spl0_228
| ~ spl0_239
| ~ spl0_308 ),
inference(sat_conversion,[],[f13538]) ).
cnf(s1033,plain,
( spl0_286
| spl0_300 ),
inference(sat_conversion,[],[f13543]) ).
cnf(s1037,plain,
( spl0_287
| spl0_310 ),
inference(sat_conversion,[],[f13551]) ).
cnf(s1052,plain,
( ~ spl0_41
| spl0_158 ),
inference(sat_conversion,[],[f13676]) ).
cnf(s1057,plain,
( ~ spl0_59
| spl0_70
| ~ spl0_250
| ~ spl0_256 ),
inference(sat_conversion,[],[f13704]) ).
cnf(s1067,plain,
( spl0_18
| spl0_20
| spl0_70
| spl0_84
| ~ spl0_173
| spl0_251
| ~ spl0_256
| spl0_285 ),
inference(sat_conversion,[],[f13727]) ).
cnf(s1070,plain,
( ~ spl0_48
| ~ spl0_230
| spl0_287
| spl0_296 ),
inference(sat_conversion,[],[f13788]) ).
cnf(s1071,plain,
( ~ spl0_114
| ~ spl0_230
| ~ spl0_286 ),
inference(sat_conversion,[],[f13790]) ).
cnf(s1074,plain,
( ~ spl0_82
| ~ spl0_230
| ~ spl0_286 ),
inference(sat_conversion,[],[f13795]) ).
cnf(s1080,plain,
( spl0_18
| spl0_20
| ~ spl0_173
| spl0_266
| spl0_286
| spl0_287
| spl0_318 ),
inference(sat_conversion,[],[f13814]) ).
cnf(s1081,plain,
( ~ spl0_225
| ~ spl0_237
| ~ spl0_245 ),
inference(sat_conversion,[],[f13869]) ).
cnf(s1091,plain,
( ~ spl0_17
| ~ spl0_34
| spl0_285
| ~ spl0_302 ),
inference(sat_conversion,[],[f13893]) ).
cnf(s1094,plain,
( ~ spl0_225
| ~ spl0_239
| spl0_245
| spl0_246 ),
inference(sat_conversion,[],[f13905]) ).
cnf(s1099,plain,
( ~ spl0_17
| ~ spl0_34
| ~ spl0_235
| spl0_286 ),
inference(sat_conversion,[],[f13924]) ).
cnf(s1106,plain,
( spl0_288
| spl0_316 ),
inference(sat_conversion,[],[f13953]) ).
cnf(s1108,plain,
( spl0_236
| spl0_285 ),
inference(sat_conversion,[],[f13959]) ).
cnf(s1125,plain,
( ~ spl0_285
| ~ spl0_294 ),
inference(sat_conversion,[],[f14161]) ).
cnf(s1130,plain,
( ~ spl0_78
| spl0_230
| ~ spl0_301 ),
inference(sat_conversion,[],[f14281]) ).
cnf(s1137,plain,
( ~ spl0_228
| ~ spl0_237
| spl0_238
| spl0_309 ),
inference(sat_conversion,[],[f14350]) ).
cnf(s1138,plain,
( ~ spl0_4
| ~ spl0_253
| ~ spl0_287 ),
inference(sat_conversion,[],[f14362]) ).
cnf(s1143,plain,
( ~ spl0_53
| spl0_250
| spl0_288 ),
inference(sat_conversion,[],[f14410]) ).
cnf(s1145,plain,
( ~ spl0_49
| spl0_107 ),
inference(sat_conversion,[],[f14412]) ).
cnf(s1146,plain,
( ~ spl0_4
| ~ spl0_249
| ~ spl0_288 ),
inference(sat_conversion,[],[f14438]) ).
cnf(s1147,plain,
( ~ spl0_225
| ~ spl0_242
| ~ spl0_306 ),
inference(sat_conversion,[],[f14485]) ).
cnf(s1153,plain,
( ~ spl0_8
| spl0_122
| ~ spl0_190 ),
inference(sat_conversion,[],[f14526]) ).
cnf(s1154,plain,
( ~ spl0_32
| ~ spl0_72
| spl0_75
| spl0_84
| spl0_328 ),
inference(sat_conversion,[],[f14530]) ).
cnf(s1155,plain,
( ~ spl0_72
| spl0_75
| spl0_84
| spl0_223 ),
inference(sat_conversion,[],[f14531]) ).
cnf(s1158,plain,
( ~ spl0_17
| ~ spl0_28 ),
inference(sat_conversion,[],[f14546]) ).
cnf(s1160,plain,
( ~ spl0_18
| ~ spl0_28 ),
inference(sat_conversion,[],[f14558]) ).
cnf(s1162,plain,
( ~ spl0_225
| spl0_231
| ~ spl0_236
| spl0_286 ),
inference(sat_conversion,[],[f14563]) ).
cnf(s1163,plain,
( ~ spl0_5
| spl0_108
| ~ spl0_126 ),
inference(sat_conversion,[],[f14565]) ).
cnf(s1164,plain,
( ~ spl0_5
| ~ spl0_253
| spl0_286
| spl0_287
| spl0_332 ),
inference(sat_conversion,[],[f14571]) ).
cnf(s1165,plain,
( ~ spl0_28
| spl0_37
| ~ spl0_48 ),
inference(sat_conversion,[],[f14572]) ).
cnf(s1169,plain,
( ~ spl0_28
| spl0_35
| ~ spl0_158
| spl0_333 ),
inference(sat_conversion,[],[f14616]) ).
cnf(s1170,plain,
( ~ spl0_5
| ~ spl0_28
| ~ spl0_158
| ~ spl0_285 ),
inference(sat_conversion,[],[f14622]) ).
cnf(s1171,plain,
( spl0_70
| spl0_84
| spl0_122
| spl0_256
| spl0_285 ),
inference(sat_conversion,[],[f14625]) ).
cnf(s1173,plain,
( spl0_70
| ~ spl0_72
| spl0_84
| spl0_256
| spl0_285 ),
inference(sat_conversion,[],[f14629]) ).
cnf(s1174,plain,
( spl0_70
| spl0_84
| spl0_285
| spl0_288
| spl0_307 ),
inference(sat_conversion,[],[f14630]) ).
cnf(s1193,plain,
( ~ spl0_4
| ~ spl0_288
| ~ spl0_333 ),
inference(sat_conversion,[],[f14792]) ).
cnf(s1223,plain,
( ~ spl0_229
| ~ spl0_286
| ~ spl0_334 ),
inference(sat_conversion,[],[f15214]) ).
cnf(s1226,plain,
( ~ spl0_70
| ~ spl0_241
| ~ spl0_335 ),
inference(sat_conversion,[],[f15219]) ).
cnf(s1230,plain,
( ~ spl0_224
| ~ spl0_250
| ~ spl0_296 ),
inference(sat_conversion,[],[f15257]) ).
cnf(s1231,plain,
( ~ spl0_254
| ~ spl0_286 ),
inference(sat_conversion,[],[f15264]) ).
cnf(s1232,plain,
( ~ spl0_229
| ~ spl0_254 ),
inference(sat_conversion,[],[f15269]) ).
cnf(s1233,plain,
( ~ spl0_82
| ~ spl0_258
| spl0_285
| spl0_288
| spl0_339 ),
inference(sat_conversion,[],[f15282]) ).
cnf(s1234,plain,
( ~ spl0_81
| spl0_89
| ~ spl0_339 ),
inference(sat_conversion,[],[f15289]) ).
cnf(s1245,plain,
( ~ spl0_226
| ~ spl0_229
| ~ spl0_258
| ~ spl0_346
| spl0_349 ),
inference(sat_conversion,[],[f15401]) ).
cnf(s1247,plain,
( ~ spl0_341
| spl0_344 ),
inference(sat_conversion,[],[f15410]) ).
cnf(s1249,plain,
( spl0_344
| spl0_356 ),
inference(sat_conversion,[],[f15418]) ).
cnf(s1260,plain,
( spl0_346
| spl0_362 ),
inference(sat_conversion,[],[f15476]) ).
cnf(s1263,plain,
( spl0_282
| ~ spl0_339
| ~ spl0_362 ),
inference(sat_conversion,[],[f15491]) ).
cnf(s1264,plain,
( ~ spl0_78
| ~ spl0_343
| spl0_362 ),
inference(sat_conversion,[],[f15508]) ).
cnf(s1270,plain,
( ~ spl0_222
| spl0_303
| ~ spl0_304
| spl0_369 ),
inference(sat_conversion,[],[f15563]) ).
cnf(s1273,plain,
( ~ spl0_222
| ~ spl0_237
| spl0_359
| spl0_366 ),
inference(sat_conversion,[],[f15572]) ).
cnf(s1276,plain,
( spl0_352
| spl0_370 ),
inference(sat_conversion,[],[f15586]) ).
cnf(s1281,plain,
( ~ spl0_140
| ~ spl0_229
| ~ spl0_258
| ~ spl0_303 ),
inference(sat_conversion,[],[f15627]) ).
cnf(s1309,plain,
~ spl0_358,
inference(sat_conversion,[],[f15835]) ).
cnf(s1315,plain,
( ~ spl0_113
| spl0_240
| ~ spl0_305 ),
inference(sat_conversion,[],[f15868]) ).
cnf(s1337,plain,
~ spl0_257,
inference(sat_conversion,[],[f16061]) ).
cnf(s1343,plain,
( ~ spl0_231
| ~ spl0_239
| spl0_246 ),
inference(sat_conversion,[],[f16101]) ).
cnf(s1344,plain,
( ~ spl0_231
| ~ spl0_234
| spl0_235 ),
inference(sat_conversion,[],[f16102]) ).
cnf(s1345,plain,
( ~ spl0_231
| ~ spl0_236
| spl0_287 ),
inference(sat_conversion,[],[f16103]) ).
cnf(s1346,plain,
( ~ spl0_231
| ~ spl0_232
| spl0_241 ),
inference(sat_conversion,[],[f16104]) ).
cnf(s1348,plain,
( ~ spl0_227
| ~ spl0_265
| spl0_282
| spl0_285
| spl0_288
| ~ spl0_335 ),
inference(sat_conversion,[],[f16126]) ).
cnf(s1360,plain,
( ~ spl0_145
| ~ spl0_347
| spl0_362 ),
inference(sat_conversion,[],[f16207]) ).
cnf(s1363,plain,
( ~ spl0_11
| ~ spl0_347
| spl0_360 ),
inference(sat_conversion,[],[f16219]) ).
cnf(s1367,plain,
( ~ spl0_82
| ~ spl0_356
| ~ spl0_362 ),
inference(sat_conversion,[],[f16234]) ).
cnf(s1370,plain,
( ~ spl0_221
| ~ spl0_286
| ~ spl0_381 ),
inference(sat_conversion,[],[f16274]) ).
cnf(s1374,plain,
( ~ spl0_226
| ~ spl0_237
| ~ spl0_347 ),
inference(sat_conversion,[],[f16318]) ).
cnf(s1375,plain,
( ~ spl0_226
| spl0_240
| ~ spl0_348
| spl0_349 ),
inference(sat_conversion,[],[f16319]) ).
cnf(s1380,plain,
( ~ spl0_226
| spl0_246
| spl0_347
| ~ spl0_348 ),
inference(sat_conversion,[],[f16324]) ).
cnf(s1381,plain,
( ~ spl0_2
| ~ spl0_246
| ~ spl0_335 ),
inference(sat_conversion,[],[f16338]) ).
cnf(s1390,plain,
( ~ spl0_6
| ~ spl0_122 ),
inference(sat_conversion,[],[f16404]) ).
cnf(s1391,plain,
( ~ spl0_6
| ~ spl0_37 ),
inference(sat_conversion,[],[f16406]) ).
cnf(s1392,plain,
( ~ spl0_6
| ~ spl0_20 ),
inference(sat_conversion,[],[f16417]) ).
cnf(s1394,plain,
( spl0_2
| ~ spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f16425]) ).
cnf(s1404,plain,
( spl0_2
| spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f16448]) ).
cnf(s1406,plain,
( spl0_2
| spl0_4
| spl0_238
| spl0_285 ),
inference(sat_conversion,[],[f16454]) ).
cnf(s1408,plain,
( ~ spl0_5
| spl0_18
| spl0_20
| ~ spl0_43
| spl0_108 ),
inference(sat_conversion,[],[f16456]) ).
cnf(s1409,plain,
( spl0_2
| spl0_4
| ~ spl0_43
| spl0_356
| ~ spl0_360 ),
inference(sat_conversion,[],[f16457]) ).
cnf(s1412,plain,
( ~ spl0_37
| ~ spl0_265 ),
inference(sat_conversion,[],[f16490]) ).
cnf(s1416,plain,
( ~ spl0_20
| ~ spl0_255
| ~ spl0_288 ),
inference(sat_conversion,[],[f16516]) ).
cnf(s1420,plain,
( spl0_18
| spl0_20
| ~ spl0_43
| spl0_126 ),
inference(sat_conversion,[],[f16526]) ).
cnf(s1424,plain,
( ~ spl0_6
| ~ spl0_287 ),
inference(sat_conversion,[],[f16559]) ).
cnf(s1432,plain,
( ~ spl0_43
| ~ spl0_238
| ~ spl0_250 ),
inference(sat_conversion,[],[f16622]) ).
cnf(s1440,plain,
( ~ spl0_6
| ~ spl0_25
| spl0_238 ),
inference(sat_conversion,[],[f16686]) ).
cnf(s1442,plain,
( ~ spl0_6
| ~ spl0_25
| spl0_76 ),
inference(sat_conversion,[],[f16690]) ).
cnf(s1444,plain,
( ~ spl0_8
| spl0_17
| ~ spl0_38 ),
inference(sat_conversion,[],[f16697]) ).
cnf(s1445,plain,
( ~ spl0_6
| ~ spl0_288 ),
inference(sat_conversion,[],[f16699]) ).
cnf(s1452,plain,
( ~ spl0_24
| ~ spl0_255 ),
inference(sat_conversion,[],[f16740]) ).
cnf(s1453,plain,
( ~ spl0_24
| ~ spl0_265 ),
inference(sat_conversion,[],[f16742]) ).
cnf(s1459,plain,
( ~ spl0_40
| spl0_69 ),
inference(sat_conversion,[],[f16779]) ).
cnf(s1462,plain,
( spl0_237
| ~ spl0_254 ),
inference(sat_conversion,[],[f16815]) ).
cnf(s1468,plain,
( ~ spl0_240
| ~ spl0_254 ),
inference(sat_conversion,[],[f16837]) ).
cnf(s1473,plain,
( spl0_232
| ~ spl0_294 ),
inference(sat_conversion,[],[f16864]) ).
cnf(s1474,plain,
( spl0_84
| spl0_232
| ~ spl0_294 ),
inference(sat_conversion,[],[f16866]) ).
cnf(s1475,plain,
( ~ spl0_247
| ~ spl0_254 ),
inference(sat_conversion,[],[f16868]) ).
cnf(s1476,plain,
( ~ spl0_256
| ~ spl0_294 ),
inference(sat_conversion,[],[f16872]) ).
cnf(s1480,plain,
( ~ spl0_104
| ~ spl0_307 ),
inference(sat_conversion,[],[f16887]) ).
cnf(s1481,plain,
( ~ spl0_75
| ~ spl0_104 ),
inference(sat_conversion,[],[f16890]) ).
cnf(s1484,plain,
( ~ spl0_2
| ~ spl0_40
| ~ spl0_334 ),
inference(sat_conversion,[],[f16927]) ).
cnf(s1485,plain,
( ~ spl0_25
| spl0_51 ),
inference(sat_conversion,[],[f16932]) ).
cnf(s1489,plain,
( ~ spl0_224
| ~ spl0_294 ),
inference(sat_conversion,[],[f16962]) ).
cnf(s1490,plain,
( ~ spl0_28
| ~ spl0_235 ),
inference(sat_conversion,[],[f16964]) ).
cnf(s1491,plain,
( ~ spl0_104
| ~ spl0_241 ),
inference(sat_conversion,[],[f16966]) ).
cnf(s1492,plain,
( ~ spl0_238
| ~ spl0_294 ),
inference(sat_conversion,[],[f16968]) ).
cnf(s1495,plain,
( ~ spl0_136
| spl0_139 ),
inference(sat_conversion,[],[f16987]) ).
cnf(s1507,plain,
( ~ spl0_225
| spl0_230
| spl0_231
| ~ spl0_232 ),
inference(sat_conversion,[],[f17158]) ).
cnf(s1508,plain,
( ~ spl0_225
| spl0_231
| ~ spl0_239
| spl0_240 ),
inference(sat_conversion,[],[f17160]) ).
cnf(s1511,plain,
( ~ spl0_228
| spl0_256
| ~ spl0_306
| spl0_309 ),
inference(sat_conversion,[],[f17197]) ).
cnf(s1513,plain,
( ~ spl0_228
| spl0_305
| ~ spl0_306
| spl0_307 ),
inference(sat_conversion,[],[f17199]) ).
cnf(s1515,plain,
( ~ spl0_228
| spl0_250
| ~ spl0_304
| spl0_309 ),
inference(sat_conversion,[],[f17203]) ).
cnf(s1516,plain,
( ~ spl0_228
| spl0_285
| ~ spl0_300
| spl0_309 ),
inference(sat_conversion,[],[f17204]) ).
cnf(s1518,plain,
( ~ spl0_17
| ~ spl0_235
| ~ spl0_253 ),
inference(sat_conversion,[],[f17223]) ).
cnf(s1519,plain,
( ~ spl0_76
| ~ spl0_241
| ~ spl0_253 ),
inference(sat_conversion,[],[f17225]) ).
cnf(s1527,plain,
( ~ spl0_22
| ~ spl0_247
| ~ spl0_286 ),
inference(sat_conversion,[],[f17255]) ).
cnf(s1531,plain,
( ~ spl0_85
| ~ spl0_238
| ~ spl0_256 ),
inference(sat_conversion,[],[f17272]) ).
cnf(s1533,plain,
( ~ spl0_228
| ~ spl0_234
| ~ spl0_303 ),
inference(sat_conversion,[],[f17296]) ).
cnf(s1534,plain,
( ~ spl0_140
| spl0_230
| ~ spl0_303 ),
inference(sat_conversion,[],[f17297]) ).
cnf(s1536,plain,
( ~ spl0_228
| ~ spl0_237
| spl0_284
| spl0_308 ),
inference(sat_conversion,[],[f17300]) ).
cnf(s1538,plain,
( spl0_4
| spl0_69
| ~ spl0_328 ),
inference(sat_conversion,[],[f17302]) ).
cnf(s1546,plain,
( ~ spl0_5
| ~ spl0_240
| ~ spl0_286 ),
inference(sat_conversion,[],[f17487]) ).
cnf(s1551,plain,
( ~ spl0_228
| spl0_285
| spl0_286
| ~ spl0_316 ),
inference(sat_conversion,[],[f17506]) ).
cnf(s1565,plain,
( ~ spl0_15
| spl0_247
| ~ spl0_301 ),
inference(sat_conversion,[],[f17589]) ).
cnf(s1566,plain,
( ~ spl0_18
| ~ spl0_235
| ~ spl0_335 ),
inference(sat_conversion,[],[f17601]) ).
cnf(s1569,plain,
( ~ spl0_225
| spl0_231
| ~ spl0_236
| spl0_286 ),
inference(sat_conversion,[],[f17647]) ).
cnf(s1572,plain,
( ~ spl0_229
| ~ spl0_240
| ~ spl0_249 ),
inference(sat_conversion,[],[f17655]) ).
cnf(s1574,plain,
( spl0_2
| spl0_4
| ~ spl0_229
| ~ spl0_249
| spl0_286 ),
inference(sat_conversion,[],[f17666]) ).
cnf(s1577,plain,
( spl0_2
| spl0_4
| ~ spl0_43
| ~ spl0_247
| spl0_286 ),
inference(sat_conversion,[],[f17690]) ).
cnf(s1590,plain,
( ~ spl0_18
| ~ spl0_302
| ~ spl0_334 ),
inference(sat_conversion,[],[f17747]) ).
cnf(s1593,plain,
( ~ spl0_5
| ~ spl0_356
| ~ spl0_359 ),
inference(sat_conversion,[],[f17766]) ).
cnf(s1596,plain,
( ~ spl0_230
| spl0_257
| ~ spl0_339 ),
inference(sat_conversion,[],[f17785]) ).
cnf(s1600,plain,
( ~ spl0_18
| ~ spl0_369
| ~ spl0_381 ),
inference(sat_conversion,[],[f17815]) ).
cnf(s1614,plain,
( ~ spl0_22
| spl0_286
| spl0_287
| ~ spl0_296
| spl0_392 ),
inference(sat_conversion,[],[f17948]) ).
cnf(s1617,plain,
( ~ spl0_122
| ~ spl0_258
| ~ spl0_288 ),
inference(sat_conversion,[],[f17979]) ).
cnf(s1626,plain,
( ~ spl0_81
| ~ spl0_235
| ~ spl0_267 ),
inference(sat_conversion,[],[f18085]) ).
cnf(s1636,plain,
( ~ spl0_265
| spl0_286
| spl0_287
| ~ spl0_334
| spl0_398 ),
inference(sat_conversion,[],[f18182]) ).
cnf(s1639,plain,
( spl0_230
| ~ spl0_309
| ~ spl0_400 ),
inference(sat_conversion,[],[f18219]) ).
cnf(s1640,plain,
( spl0_240
| ~ spl0_309
| ~ spl0_401 ),
inference(sat_conversion,[],[f18223]) ).
cnf(s1648,plain,
( spl0_33
| ~ spl0_104
| spl0_400 ),
inference(sat_conversion,[],[f18259]) ).
cnf(s1653,plain,
( ~ spl0_349
| spl0_362
| ~ spl0_402 ),
inference(sat_conversion,[],[f18324]) ).
cnf(s1655,plain,
( ~ spl0_304
| ~ spl0_366
| spl0_369 ),
inference(sat_conversion,[],[f18346]) ).
cnf(s1713,plain,
( spl0_20
| spl0_81
| ~ spl0_328 ),
inference(sat_conversion,[],[f19134]) ).
cnf(s1714,plain,
( ~ spl0_229
| ~ spl0_247
| ~ spl0_255 ),
inference(sat_conversion,[],[f19140]) ).
cnf(s1717,plain,
( ~ spl0_20
| ~ spl0_35
| spl0_248
| ~ spl0_255
| spl0_285 ),
inference(sat_conversion,[],[f19156]) ).
cnf(s1718,plain,
( ~ spl0_20
| ~ spl0_35
| spl0_252
| spl0_286
| ~ spl0_296 ),
inference(sat_conversion,[],[f19157]) ).
cnf(s1728,plain,
( ~ spl0_5
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f19185]) ).
cnf(s1730,plain,
( ~ spl0_35
| spl0_248
| spl0_285
| spl0_288 ),
inference(sat_conversion,[],[f19196]) ).
cnf(s1733,plain,
( spl0_284
| spl0_401 ),
inference(sat_conversion,[],[f19221]) ).
cnf(s1734,plain,
( spl0_248
| spl0_284
| spl0_401 ),
inference(sat_conversion,[],[f19222]) ).
cnf(s1737,plain,
( spl0_251
| ~ spl0_307
| ~ spl0_398 ),
inference(sat_conversion,[],[f19254]) ).
cnf(s1738,plain,
( ~ spl0_70
| ~ spl0_307
| ~ spl0_334 ),
inference(sat_conversion,[],[f19256]) ).
cnf(s1781,plain,
( spl0_89
| spl0_409
| spl0_410 ),
inference(sat_conversion,[],[f19781]) ).
cnf(s1819,plain,
( spl0_89
| ~ spl0_227
| ~ spl0_265
| spl0_284
| spl0_347
| ~ spl0_348 ),
inference(sat_conversion,[],[f20269]) ).
cnf(s1821,plain,
( spl0_89
| ~ spl0_227
| ~ spl0_265
| spl0_302
| ~ spl0_350
| spl0_351 ),
inference(sat_conversion,[],[f20271]) ).
cnf(s1823,plain,
( spl0_89
| ~ spl0_227
| spl0_256
| ~ spl0_265
| ~ spl0_346
| spl0_414 ),
inference(sat_conversion,[],[f20285]) ).
cnf(s1829,plain,
( spl0_350
| spl0_360
| spl0_361 ),
inference(sat_conversion,[],[f20311]) ).
cnf(s1831,plain,
( spl0_282
| ~ spl0_360
| ~ spl0_391 ),
inference(sat_conversion,[],[f20320]) ).
cnf(s1833,plain,
( ~ spl0_22
| ~ spl0_356
| ~ spl0_360 ),
inference(sat_conversion,[],[f20323]) ).
cnf(s1834,plain,
( spl0_89
| spl0_415
| spl0_416 ),
inference(sat_conversion,[],[f20330]) ).
cnf(s1835,plain,
( ~ spl0_246
| ~ spl0_265
| ~ spl0_284 ),
inference(sat_conversion,[],[f20336]) ).
cnf(s1840,plain,
( spl0_307
| spl0_400 ),
inference(sat_conversion,[],[f20349]) ).
cnf(s1843,plain,
( spl0_84
| spl0_307
| spl0_400 ),
inference(sat_conversion,[],[f20354]) ).
cnf(s1846,plain,
( ~ spl0_238
| spl0_257
| ~ spl0_332 ),
inference(sat_conversion,[],[f20374]) ).
cnf(s1853,plain,
( ~ spl0_5
| ~ spl0_249
| spl0_282
| spl0_285
| spl0_288
| ~ spl0_359 ),
inference(sat_conversion,[],[f20396]) ).
cnf(s1856,plain,
( spl0_81
| spl0_110 ),
inference(sat_conversion,[],[f20410]) ).
cnf(s1858,plain,
( spl0_81
| spl0_84
| spl0_110 ),
inference(sat_conversion,[],[f20411]) ).
cnf(s1865,plain,
( spl0_241
| spl0_402 ),
inference(sat_conversion,[],[f20466]) ).
cnf(s1868,plain,
( spl0_89
| spl0_241
| spl0_402 ),
inference(sat_conversion,[],[f20471]) ).
cnf(s1873,plain,
( ~ spl0_232
| spl0_362
| ~ spl0_410
| spl0_420 ),
inference(sat_conversion,[],[f20532]) ).
cnf(s1888,plain,
( ~ spl0_227
| ~ spl0_265
| ~ spl0_415 ),
inference(sat_conversion,[],[f20624]) ).
cnf(s1893,plain,
( spl0_256
| ~ spl0_346
| spl0_414
| ~ spl0_416 ),
inference(sat_conversion,[],[f20671]) ).
cnf(s1899,plain,
( ~ spl0_110
| ~ spl0_345
| spl0_360 ),
inference(sat_conversion,[],[f20713]) ).
cnf(s1901,plain,
( spl0_359
| ~ spl0_401
| ~ spl0_414 ),
inference(sat_conversion,[],[f20770]) ).
cnf(s1902,plain,
( ~ spl0_227
| ~ spl0_267
| ~ spl0_400
| ~ spl0_414 ),
inference(sat_conversion,[],[f20772]) ).
cnf(s1904,plain,
( ~ spl0_221
| ~ spl0_229
| ~ spl0_417 ),
inference(sat_conversion,[],[f20807]) ).
cnf(s1905,plain,
( ~ spl0_82
| ~ spl0_256
| spl0_257
| ~ spl0_395 ),
inference(sat_conversion,[],[f20814]) ).
cnf(s1908,plain,
( ~ spl0_233
| ~ spl0_350
| ~ spl0_410 ),
inference(sat_conversion,[],[f20903]) ).
cnf(s1911,plain,
( spl0_233
| ~ spl0_234
| spl0_369
| ~ spl0_410 ),
inference(sat_conversion,[],[f20908]) ).
cnf(s1925,plain,
( spl0_248
| spl0_257
| spl0_286
| ~ spl0_291 ),
inference(sat_conversion,[],[f21052]) ).
cnf(s1926,plain,
( spl0_2
| ~ spl0_291 ),
inference(sat_conversion,[],[f21055]) ).
cnf(s2009,plain,
( ~ spl0_306
| spl0_432 ),
inference(sat_conversion,[],[f21976]) ).
cnf(s2010,plain,
( ~ spl0_1
| ~ spl0_145
| ~ spl0_229
| ~ spl0_249
| ~ spl0_300
| ~ spl0_306 ),
inference(sat_conversion,[],[f21977]) ).
cnf(s2011,plain,
( ~ spl0_258
| ~ spl0_302
| spl0_303
| ~ spl0_304
| ~ spl0_306 ),
inference(sat_conversion,[],[f21978]) ).
cnf(s2012,plain,
( spl0_69
| ~ spl0_237
| ~ spl0_306
| spl0_308 ),
inference(sat_conversion,[],[f21979]) ).
cnf(s2013,plain,
( spl0_76
| ~ spl0_237
| spl0_305
| ~ spl0_306 ),
inference(sat_conversion,[],[f21980]) ).
cnf(s2015,plain,
( ~ spl0_232
| spl0_365
| ~ spl0_420 ),
inference(sat_conversion,[],[f21983]) ).
cnf(s2022,plain,
( ~ spl0_22
| ~ spl0_255
| spl0_285
| spl0_288
| spl0_391 ),
inference(sat_conversion,[],[f22002]) ).
cnf(s2025,plain,
( spl0_11
| spl0_17
| spl0_33 ),
inference(sat_conversion,[],[f22025]) ).
cnf(s2030,plain,
( ~ spl0_35
| ~ spl0_165
| spl0_285 ),
inference(sat_conversion,[],[f22077]) ).
cnf(s2031,plain,
( ~ spl0_35
| ~ spl0_104
| ~ spl0_165 ),
inference(sat_conversion,[],[f22079]) ).
cnf(s2036,plain,
( spl0_18
| spl0_20
| spl0_33
| spl0_75
| ~ spl0_104 ),
inference(sat_conversion,[],[f22092]) ).
cnf(s2037,plain,
( ~ spl0_26
| ~ spl0_35
| spl0_136 ),
inference(sat_conversion,[],[f22093]) ).
cnf(s2042,plain,
( spl0_2
| spl0_69
| spl0_70
| spl0_122 ),
inference(sat_conversion,[],[f22132]) ).
cnf(s2047,plain,
( spl0_2
| spl0_4
| spl0_70
| spl0_76 ),
inference(sat_conversion,[],[f22143]) ).
cnf(s2051,plain,
( ~ spl0_4
| spl0_5
| spl0_35 ),
inference(sat_conversion,[],[f22151]) ).
cnf(s2057,plain,
( spl0_51
| ~ spl0_440 ),
inference(sat_conversion,[],[f22229]) ).
cnf(s2060,plain,
( ~ spl0_2
| ~ spl0_284
| ~ spl0_334 ),
inference(sat_conversion,[],[f22264]) ).
cnf(s2080,plain,
( ~ spl0_228
| spl0_302
| spl0_303
| ~ spl0_304 ),
inference(sat_conversion,[],[f22603]) ).
cnf(s2084,plain,
( ~ spl0_72
| ~ spl0_242
| spl0_285 ),
inference(sat_conversion,[],[f22647]) ).
cnf(s2085,plain,
( ~ spl0_30
| spl0_240
| ~ spl0_303 ),
inference(sat_conversion,[],[f22666]) ).
cnf(s2087,plain,
( spl0_70
| spl0_122
| ~ spl0_258
| spl0_266
| spl0_356
| ~ spl0_415 ),
inference(sat_conversion,[],[f22704]) ).
cnf(s2091,plain,
( spl0_288
| spl0_343
| ~ spl0_344
| ~ spl0_416 ),
inference(sat_conversion,[],[f22749]) ).
cnf(s2094,plain,
( spl0_285
| ~ spl0_316
| spl0_356
| ~ spl0_416 ),
inference(sat_conversion,[],[f22753]) ).
cnf(s2095,plain,
( spl0_18
| spl0_33
| spl0_70
| spl0_122
| ~ spl0_258
| ~ spl0_302 ),
inference(sat_conversion,[],[f22755]) ).
cnf(s2096,plain,
( ~ spl0_10
| spl0_69
| ~ spl0_72
| spl0_89
| spl0_440 ),
inference(sat_conversion,[],[f22756]) ).
cnf(s2097,plain,
( ~ spl0_10
| spl0_69
| spl0_89
| spl0_439 ),
inference(sat_conversion,[],[f22757]) ).
cnf(s2103,plain,
( ~ spl0_22
| ~ spl0_70
| ~ spl0_75 ),
inference(sat_conversion,[],[f22790]) ).
cnf(s2144,plain,
( spl0_238
| ~ spl0_240
| ~ spl0_360
| ~ spl0_392 ),
inference(sat_conversion,[],[f23402]) ).
cnf(s2153,plain,
( ~ spl0_224
| spl0_254
| spl0_265 ),
inference(sat_conversion,[],[f23423]) ).
cnf(s2154,plain,
( ~ spl0_229
| spl0_265
| spl0_294 ),
inference(sat_conversion,[],[f23426]) ).
cnf(s2193,plain,
( ~ spl0_76
| spl0_251
| ~ spl0_332 ),
inference(sat_conversion,[],[f23807]) ).
cnf(s2215,plain,
( spl0_81
| spl0_303
| ~ spl0_304
| ~ spl0_306 ),
inference(sat_conversion,[],[f23968]) ).
cnf(s2218,plain,
( spl0_122
| ~ spl0_300
| spl0_301
| ~ spl0_306 ),
inference(sat_conversion,[],[f23977]) ).
cnf(s2220,plain,
( spl0_75
| ~ spl0_304
| spl0_305
| ~ spl0_306 ),
inference(sat_conversion,[],[f23981]) ).
cnf(s2221,plain,
( spl0_70
| ~ spl0_72
| spl0_286
| ~ spl0_306 ),
inference(sat_conversion,[],[f23983]) ).
cnf(s2226,plain,
( ~ spl0_76
| ~ spl0_249
| ~ spl0_307 ),
inference(sat_conversion,[],[f24019]) ).
cnf(s2232,plain,
( ~ spl0_245
| ~ spl0_348
| ~ spl0_410 ),
inference(sat_conversion,[],[f24123]) ).
cnf(s2235,plain,
( ~ spl0_247
| spl0_257
| ~ spl0_391 ),
inference(sat_conversion,[],[f24136]) ).
cnf(s2238,plain,
( spl0_302
| ~ spl0_350
| spl0_351
| ~ spl0_416 ),
inference(sat_conversion,[],[f24207]) ).
cnf(s2239,plain,
( spl0_238
| ~ spl0_348
| spl0_414
| ~ spl0_416 ),
inference(sat_conversion,[],[f24210]) ).
cnf(s2245,plain,
( ~ spl0_69
| ~ spl0_258
| ~ spl0_284 ),
inference(sat_conversion,[],[f24244]) ).
cnf(s2247,plain,
( ~ spl0_229
| ~ spl0_230
| ~ spl0_258 ),
inference(sat_conversion,[],[f24249]) ).
cnf(s2270,plain,
( ~ spl0_222
| ~ spl0_305
| ~ spl0_346 ),
inference(sat_conversion,[],[f24467]) ).
cnf(s2271,plain,
( spl0_70
| ~ spl0_300
| spl0_305
| ~ spl0_306 ),
inference(sat_conversion,[],[f24468]) ).
cnf(s2273,plain,
( ~ spl0_222
| ~ spl0_300
| spl0_301
| spl0_352 ),
inference(sat_conversion,[],[f24470]) ).
cnf(s2275,plain,
( spl0_248
| spl0_251
| ~ spl0_281
| spl0_285 ),
inference(sat_conversion,[],[f24481]) ).
cnf(s2276,plain,
( spl0_252
| spl0_266
| ~ spl0_281
| spl0_286 ),
inference(sat_conversion,[],[f24482]) ).
cnf(s2283,plain,
( ~ spl0_226
| spl0_286
| ~ spl0_344
| spl0_349 ),
inference(sat_conversion,[],[f24528]) ).
cnf(s2286,plain,
( ~ spl0_226
| spl0_286
| ~ spl0_310
| spl0_356 ),
inference(sat_conversion,[],[f24531]) ).
cnf(s2287,plain,
( ~ spl0_222
| spl0_286
| spl0_356
| ~ spl0_370 ),
inference(sat_conversion,[],[f24532]) ).
cnf(s2289,plain,
( ~ spl0_226
| spl0_230
| ~ spl0_346
| spl0_349 ),
inference(sat_conversion,[],[f24534]) ).
cnf(s2293,plain,
( spl0_6
| ~ spl0_356
| spl0_381 ),
inference(sat_conversion,[],[f24547]) ).
cnf(s2298,plain,
( ~ spl0_226
| spl0_365
| ~ spl0_429 ),
inference(sat_conversion,[],[f24642]) ).
cnf(s2301,plain,
( ~ spl0_65
| ~ spl0_229
| ~ spl0_240
| spl0_288 ),
inference(sat_conversion,[],[f24677]) ).
cnf(s2307,plain,
( ~ spl0_349
| spl0_359
| ~ spl0_448 ),
inference(sat_conversion,[],[f24769]) ).
cnf(s2308,plain,
( ~ spl0_300
| spl0_352
| ~ spl0_366 ),
inference(sat_conversion,[],[f24803]) ).
cnf(s2311,plain,
( spl0_69
| ~ spl0_166
| ~ spl0_230
| ~ spl0_240 ),
inference(sat_conversion,[],[f24834]) ).
cnf(s2357,plain,
( ~ spl0_70
| spl0_89
| spl0_285
| ~ spl0_318 ),
inference(sat_conversion,[],[f25541]) ).
cnf(s2477,plain,
( spl0_69
| ~ spl0_232
| ~ spl0_239
| spl0_245 ),
inference(sat_conversion,[],[f26730]) ).
cnf(s2478,plain,
( ~ spl0_232
| ~ spl0_239
| spl0_285
| ~ spl0_439 ),
inference(sat_conversion,[],[f26731]) ).
cnf(s2482,plain,
( ~ spl0_1
| ~ spl0_145
| ~ spl0_232
| ~ spl0_236
| spl0_238 ),
inference(sat_conversion,[],[f26735]) ).
cnf(s2484,plain,
( ~ spl0_288
| ~ spl0_352
| ~ spl0_417 ),
inference(sat_conversion,[],[f26737]) ).
cnf(s2488,plain,
( ~ spl0_69
| ~ spl0_246
| ~ spl0_267 ),
inference(sat_conversion,[],[f26751]) ).
cnf(s2490,plain,
( ~ spl0_224
| ~ spl0_256
| ~ spl0_267 ),
inference(sat_conversion,[],[f26753]) ).
cnf(s2492,plain,
( spl0_70
| ~ spl0_145
| spl0_307
| ~ spl0_455 ),
inference(sat_conversion,[],[f26761]) ).
cnf(s2493,plain,
( spl0_18
| spl0_33
| spl0_70
| spl0_122
| ~ spl0_235
| ~ spl0_267 ),
inference(sat_conversion,[],[f26762]) ).
cnf(s2494,plain,
( spl0_2
| ~ spl0_30
| spl0_69
| ~ spl0_223 ),
inference(sat_conversion,[],[f26763]) ).
cnf(s2495,plain,
( spl0_241
| ~ spl0_432
| spl0_490 ),
inference(sat_conversion,[],[f26764]) ).
cnf(s2499,plain,
( spl0_2
| ~ spl0_246
| ~ spl0_265
| spl0_285
| spl0_288 ),
inference(sat_conversion,[],[f26772]) ).
cnf(s2500,plain,
( spl0_18
| spl0_89
| ~ spl0_235
| ~ spl0_265
| spl0_285
| spl0_288 ),
inference(sat_conversion,[],[f26773]) ).
cnf(s2502,plain,
( ~ spl0_267
| spl0_286
| spl0_287
| spl0_395 ),
inference(sat_conversion,[],[f26775]) ).
cnf(s2503,plain,
( spl0_287
| ~ spl0_432
| spl0_499 ),
inference(sat_conversion,[],[f26779]) ).
cnf(s2505,plain,
( spl0_246
| spl0_448 ),
inference(sat_conversion,[],[f26781]) ).
cnf(s2506,plain,
( spl0_238
| spl0_248
| ~ spl0_316
| spl0_455 ),
inference(sat_conversion,[],[f26782]) ).
cnf(s2507,plain,
( spl0_235
| ~ spl0_432
| spl0_500 ),
inference(sat_conversion,[],[f26788]) ).
cnf(s2508,plain,
( spl0_246
| ~ spl0_432
| spl0_501 ),
inference(sat_conversion,[],[f26792]) ).
cnf(s2514,plain,
( ~ spl0_136
| ~ spl0_267 ),
inference(sat_conversion,[],[f26829]) ).
cnf(s2516,plain,
( ~ spl0_285
| ~ spl0_381
| ~ spl0_409 ),
inference(sat_conversion,[],[f26831]) ).
cnf(s2518,plain,
( ~ spl0_28
| spl0_89
| spl0_285
| spl0_288 ),
inference(sat_conversion,[],[f26836]) ).
cnf(s2519,plain,
( ~ spl0_37
| ~ spl0_267 ),
inference(sat_conversion,[],[f26844]) ).
cnf(s2523,plain,
( spl0_18
| spl0_89
| spl0_285
| spl0_288
| spl0_302 ),
inference(sat_conversion,[],[f26850]) ).
cnf(s2524,plain,
( spl0_18
| spl0_235
| spl0_248
| spl0_286
| spl0_287 ),
inference(sat_conversion,[],[f26851]) ).
cnf(s2525,plain,
( spl0_18
| spl0_235
| spl0_248
| spl0_286
| ~ spl0_310 ),
inference(sat_conversion,[],[f26852]) ).
cnf(s2528,plain,
( spl0_18
| spl0_20
| spl0_33
| spl0_70
| spl0_75 ),
inference(sat_conversion,[],[f26856]) ).
cnf(s2529,plain,
( spl0_18
| spl0_20
| spl0_247
| spl0_248
| spl0_286 ),
inference(sat_conversion,[],[f26857]) ).
cnf(s2531,plain,
( spl0_18
| spl0_20
| spl0_89
| spl0_250
| spl0_285 ),
inference(sat_conversion,[],[f26862]) ).
cnf(s2533,plain,
( ~ spl0_10
| spl0_248
| spl0_284
| ~ spl0_316
| spl0_440 ),
inference(sat_conversion,[],[f26864]) ).
cnf(s2534,plain,
( ~ spl0_10
| ~ spl0_72
| spl0_76
| spl0_89
| spl0_328 ),
inference(sat_conversion,[],[f26865]) ).
cnf(s2535,plain,
( ~ spl0_10
| spl0_248
| spl0_284
| spl0_455 ),
inference(sat_conversion,[],[f26866]) ).
cnf(s2536,plain,
( spl0_4
| spl0_18
| ~ spl0_41 ),
inference(sat_conversion,[],[f26867]) ).
cnf(s2543,plain,
( spl0_82
| spl0_104
| ~ spl0_122 ),
inference(sat_conversion,[],[f26905]) ).
cnf(s2544,plain,
( ~ spl0_76
| ~ spl0_104 ),
inference(sat_conversion,[],[f26917]) ).
cnf(s2546,plain,
( ~ spl0_17
| spl0_35
| spl0_43 ),
inference(sat_conversion,[],[f26921]) ).
cnf(s2554,plain,
( spl0_6
| ~ spl0_285
| spl0_334 ),
inference(sat_conversion,[],[f26959]) ).
cnf(s2557,plain,
( spl0_6
| ~ spl0_286
| spl0_335 ),
inference(sat_conversion,[],[f26997]) ).
cnf(s2560,plain,
( ~ spl0_10
| spl0_14
| ~ spl0_49 ),
inference(sat_conversion,[],[f27022]) ).
cnf(s2561,plain,
( spl0_2
| spl0_14
| spl0_18
| spl0_20 ),
inference(sat_conversion,[],[f27024]) ).
cnf(s2562,plain,
( ~ spl0_2
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f27027]) ).
cnf(s2564,plain,
( ~ spl0_5
| ~ spl0_238
| ~ spl0_285 ),
inference(sat_conversion,[],[f27066]) ).
cnf(s2576,plain,
( ~ spl0_43
| ~ spl0_240
| ~ spl0_247 ),
inference(sat_conversion,[],[f27207]) ).
cnf(s2584,plain,
( spl0_348
| spl0_358
| spl0_359 ),
inference(sat_conversion,[],[f27276]) ).
cnf(s2590,plain,
( ~ spl0_400
| spl0_427 ),
inference(sat_conversion,[],[f27352]) ).
cnf(s2600,plain,
( ~ spl0_5
| spl0_70
| ~ spl0_85
| spl0_122
| spl0_266
| ~ spl0_359 ),
inference(sat_conversion,[],[f27420]) ).
cnf(s2603,plain,
( ~ spl0_15
| spl0_75
| ~ spl0_183 ),
inference(sat_conversion,[],[f27423]) ).
cnf(s2604,plain,
( spl0_75
| ~ spl0_232
| ~ spl0_234
| spl0_242 ),
inference(sat_conversion,[],[f27426]) ).
cnf(s2605,plain,
( spl0_76
| ~ spl0_232
| ~ spl0_239
| spl0_242 ),
inference(sat_conversion,[],[f27427]) ).
cnf(s2616,plain,
( spl0_237
| spl0_240
| spl0_252 ),
inference(sat_conversion,[],[f27487]) ).
cnf(s2620,plain,
( ~ spl0_246
| spl0_253
| spl0_254 ),
inference(sat_conversion,[],[f27496]) ).
cnf(s2622,plain,
( spl0_232
| spl0_256
| spl0_257 ),
inference(sat_conversion,[],[f27531]) ).
cnf(s2624,plain,
( spl0_33
| spl0_232
| spl0_256 ),
inference(sat_conversion,[],[f27534]) ).
cnf(s2627,plain,
( ~ spl0_235
| spl0_254
| spl0_296 ),
inference(sat_conversion,[],[f27537]) ).
cnf(s2629,plain,
( ~ spl0_82
| ~ spl0_256
| ~ spl0_285 ),
inference(sat_conversion,[],[f27554]) ).
cnf(s2630,plain,
( spl0_104
| ~ spl0_256
| spl0_258 ),
inference(sat_conversion,[],[f27555]) ).
cnf(s2636,plain,
( spl0_6
| ~ spl0_18
| spl0_22 ),
inference(sat_conversion,[],[f27575]) ).
cnf(s2637,plain,
( ~ spl0_14
| spl0_28
| spl0_43 ),
inference(sat_conversion,[],[f27578]) ).
cnf(s2641,plain,
( spl0_35
| ~ spl0_76
| spl0_85 ),
inference(sat_conversion,[],[f27602]) ).
cnf(s2643,plain,
( spl0_254
| ~ spl0_287
| spl0_335 ),
inference(sat_conversion,[],[f27622]) ).
cnf(s2660,plain,
~ spl0_361,
inference(sat_conversion,[],[f27798]) ).
cnf(s2669,plain,
( ~ spl0_22
| ~ spl0_250
| ~ spl0_285 ),
inference(sat_conversion,[],[f27823]) ).
cnf(s2672,plain,
( spl0_28
| ~ spl0_75
| spl0_83 ),
inference(sat_conversion,[],[f27861]) ).
cnf(s2673,plain,
( ~ spl0_81
| spl0_83
| spl0_104 ),
inference(sat_conversion,[],[f27864]) ).
cnf(s2674,plain,
( spl0_35
| ~ spl0_238
| spl0_249 ),
inference(sat_conversion,[],[f27883]) ).
cnf(s2675,plain,
( spl0_249
| ~ spl0_284
| spl0_294 ),
inference(sat_conversion,[],[f27892]) ).
cnf(s2677,plain,
( spl0_28
| ~ spl0_247
| spl0_296 ),
inference(sat_conversion,[],[f27908]) ).
cnf(s2683,plain,
( spl0_2
| spl0_4
| ~ spl0_85
| ~ spl0_230
| spl0_286 ),
inference(sat_conversion,[],[f27986]) ).
cnf(s2687,plain,
( ~ spl0_35
| ~ spl0_284 ),
inference(sat_conversion,[],[f28001]) ).
cnf(s2694,plain,
( ~ spl0_83
| ~ spl0_230
| ~ spl0_247 ),
inference(sat_conversion,[],[f28124]) ).
cnf(s2695,plain,
( spl0_258
| spl0_294
| ~ spl0_307 ),
inference(sat_conversion,[],[f28127]) ).
cnf(s2702,plain,
( ~ spl0_35
| ~ spl0_246 ),
inference(sat_conversion,[],[f28219]) ).
cnf(s2706,plain,
( spl0_234
| spl0_250
| spl0_251 ),
inference(sat_conversion,[],[f28251]) ).
cnf(s2709,plain,
( spl0_255
| spl0_294
| ~ spl0_302 ),
inference(sat_conversion,[],[f28255]) ).
cnf(s2710,plain,
( spl0_28
| ~ spl0_250
| spl0_255 ),
inference(sat_conversion,[],[f28260]) ).
cnf(s2712,plain,
( spl0_104
| ~ spl0_230
| spl0_267 ),
inference(sat_conversion,[],[f28270]) ).
cnf(s2713,plain,
( ~ spl0_241
| spl0_254
| spl0_267 ),
inference(sat_conversion,[],[f28273]) ).
cnf(s2719,plain,
( spl0_341
| spl0_364
| ~ spl0_365 ),
inference(sat_conversion,[],[f28395]) ).
cnf(s2726,plain,
( ~ spl0_75
| ~ spl0_255
| ~ spl0_307 ),
inference(sat_conversion,[],[f28463]) ).
cnf(s2731,plain,
( spl0_294
| ~ spl0_415
| spl0_417 ),
inference(sat_conversion,[],[f28514]) ).
cnf(s2741,plain,
( ~ spl0_225
| ~ spl0_232
| spl0_241
| spl0_242 ),
inference(sat_conversion,[],[f28550]) ).
cnf(s2744,plain,
( ~ spl0_142
| ~ spl0_304
| ~ spl0_402 ),
inference(sat_conversion,[],[f28592]) ).
cnf(s2746,plain,
( ~ spl0_228
| ~ spl0_402
| ~ spl0_426 ),
inference(sat_conversion,[],[f28636]) ).
cnf(s2747,plain,
( ~ spl0_81
| ~ spl0_258
| ~ spl0_302 ),
inference(sat_conversion,[],[f28646]) ).
cnf(s2759,plain,
( ~ spl0_75
| spl0_82
| ~ spl0_139 ),
inference(sat_conversion,[],[f28703]) ).
cnf(s2765,plain,
( ~ spl0_76
| spl0_82
| ~ spl0_139 ),
inference(sat_conversion,[],[f28710]) ).
cnf(s2768,plain,
( ~ spl0_226
| spl0_241
| spl0_345
| ~ spl0_346 ),
inference(sat_conversion,[],[f28752]) ).
cnf(s2770,plain,
( ~ spl0_226
| spl0_235
| ~ spl0_350
| spl0_351 ),
inference(sat_conversion,[],[f28754]) ).
cnf(s2773,plain,
( spl0_104
| ~ spl0_362
| spl0_364 ),
inference(sat_conversion,[],[f28763]) ).
cnf(s2778,plain,
( ~ spl0_227
| ~ spl0_267
| ~ spl0_362 ),
inference(sat_conversion,[],[f28808]) ).
cnf(s2780,plain,
( ~ spl0_225
| ~ spl0_400
| ~ spl0_429 ),
inference(sat_conversion,[],[f28835]) ).
cnf(s2783,plain,
( ~ spl0_225
| ~ spl0_232
| ~ spl0_490 ),
inference(sat_conversion,[],[f28873]) ).
cnf(s2784,plain,
( ~ spl0_35
| ~ spl0_113
| ~ spl0_490 ),
inference(sat_conversion,[],[f28876]) ).
cnf(s2785,plain,
( ~ spl0_6
| ~ spl0_72
| ~ spl0_490 ),
inference(sat_conversion,[],[f28877]) ).
cnf(s2786,plain,
( ~ spl0_221
| ~ spl0_230
| ~ spl0_364 ),
inference(sat_conversion,[],[f28905]) ).
cnf(s2805,plain,
( ~ spl0_8
| ~ spl0_35
| ~ spl0_113
| ~ spl0_499 ),
inference(sat_conversion,[],[f29137]) ).
cnf(s2806,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_72
| ~ spl0_501 ),
inference(sat_conversion,[],[f29159]) ).
cnf(s2807,plain,
( ~ spl0_6
| ~ spl0_32
| ~ spl0_72
| ~ spl0_500 ),
inference(sat_conversion,[],[f29182]) ).
cnf(s2808,plain,
( ~ spl0_30
| ~ spl0_35
| ~ spl0_113
| ~ spl0_500 ),
inference(sat_conversion,[],[f29183]) ).
cnf(s2810,plain,
( ~ spl0_35
| ~ spl0_113
| spl0_190
| ~ spl0_427 ),
inference(sat_conversion,[],[f29207]) ).
cnf(s2812,plain,
( ~ spl0_140
| ~ spl0_351
| spl0_362 ),
inference(sat_conversion,[],[f29209]) ).
cnf(s2813,plain,
( ~ spl0_30
| ~ spl0_351
| spl0_359 ),
inference(sat_conversion,[],[f29210]) ).
cnf(s2814,plain,
( ~ spl0_140
| spl0_142
| spl0_302
| ~ spl0_400 ),
inference(sat_conversion,[],[f29211]) ).
cnf(s2815,plain,
( spl0_69
| ~ spl0_232
| ~ spl0_239
| spl0_245 ),
inference(sat_conversion,[],[f29212]) ).
cnf(s2816,plain,
( spl0_105
| ~ spl0_145
| spl0_246
| ~ spl0_402 ),
inference(sat_conversion,[],[f29213]) ).
cnf(s2817,plain,
( ~ spl0_145
| spl0_240
| ~ spl0_402
| spl0_429 ),
inference(sat_conversion,[],[f29214]) ).
cnf(s2818,plain,
( ~ spl0_113
| spl0_190
| spl0_284
| ~ spl0_427 ),
inference(sat_conversion,[],[f29215]) ).
cnf(s2819,plain,
( ~ spl0_140
| spl0_142
| spl0_235
| ~ spl0_402 ),
inference(sat_conversion,[],[f29216]) ).
cnf(s2820,plain,
( ~ spl0_32
| ~ spl0_351
| spl0_356 ),
inference(sat_conversion,[],[f29217]) ).
cnf(s2821,plain,
( spl0_6
| ~ spl0_70
| spl0_82 ),
inference(sat_conversion,[],[f29218]) ).
cnf(s2823,plain,
( ~ spl0_11
| spl0_247
| ~ spl0_308 ),
inference(sat_conversion,[],[f29223]) ).
cnf(s2824,plain,
( ~ spl0_10
| spl0_286
| ~ spl0_308 ),
inference(sat_conversion,[],[f29224]) ).
cnf(s2825,plain,
( spl0_105
| ~ spl0_145
| spl0_284
| ~ spl0_400 ),
inference(sat_conversion,[],[f29225]) ).
cnf(s2826,plain,
( ~ spl0_145
| spl0_230
| ~ spl0_308 ),
inference(sat_conversion,[],[f29226]) ).
cnf(s2829,plain,
( ~ spl0_113
| spl0_238
| ~ spl0_242 ),
inference(sat_conversion,[],[f29229]) ).
cnf(s2830,plain,
( ~ spl0_8
| spl0_240
| ~ spl0_301 ),
inference(sat_conversion,[],[f29230]) ).
cnf(s2831,plain,
( ~ spl0_145
| spl0_238
| ~ spl0_400
| spl0_426 ),
inference(sat_conversion,[],[f29231]) ).
cnf(s2833,plain,
( ~ spl0_20
| spl0_22
| spl0_28 ),
inference(sat_conversion,[],[f29235]) ).
cnf(s2835,plain,
( ~ spl0_69
| spl0_85
| spl0_104 ),
inference(sat_conversion,[],[f29249]) ).
cnf(s2840,plain,
( ~ spl0_64
| spl0_84
| spl0_89
| spl0_122 ),
inference(sat_conversion,[],[f29287]) ).
cnf(s2842,plain,
( ~ spl0_288
| spl0_294
| spl0_334 ),
inference(sat_conversion,[],[f29293]) ).
cnf(s2845,plain,
( spl0_35
| ~ spl0_240
| spl0_253 ),
inference(sat_conversion,[],[f29319]) ).
cnf(s2848,plain,
( ~ spl0_18
| ~ spl0_81
| ~ spl0_82 ),
inference(sat_conversion,[],[f29357]) ).
cnf(s2849,plain,
( ~ spl0_78
| spl0_286
| ~ spl0_402
| spl0_429 ),
inference(sat_conversion,[],[f29359]) ).
cnf(s2850,plain,
( ~ spl0_78
| spl0_183
| spl0_288
| ~ spl0_400 ),
inference(sat_conversion,[],[f29360]) ).
cnf(s2851,plain,
( ~ spl0_110
| ~ spl0_242
| spl0_250 ),
inference(sat_conversion,[],[f29361]) ).
cnf(s2853,plain,
( spl0_81
| ~ spl0_232
| spl0_233
| ~ spl0_234 ),
inference(sat_conversion,[],[f29364]) ).
cnf(s2855,plain,
( ~ spl0_3
| ~ spl0_15
| spl0_17
| spl0_47 ),
inference(sat_conversion,[],[f29368]) ).
cnf(s2856,plain,
( spl0_2
| spl0_4
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f29369]) ).
cnf(s2859,plain,
( ~ spl0_24
| ~ spl0_296 ),
inference(sat_conversion,[],[f29400]) ).
cnf(s2876,plain,
( spl0_350
| spl0_360 ),
inference(rat,[],[s1829,s2660]) ).
cnf(s2902,plain,
( ~ spl0_190
| spl0_246
| ~ spl0_254 ),
inference(rat,[],[s771,s969,s907]) ).
cnf(s2932,plain,
( ~ spl0_108
| ~ spl0_240 ),
inference(rat,[],[s619,s818]) ).
cnf(s2935,plain,
( spl0_238
| spl0_239 ),
inference(rat,[],[s606,s818]) ).
cnf(s2942,plain,
( ~ spl0_66
| ~ spl0_76
| spl0_82 ),
inference(rat,[],[s100,s188]) ).
cnf(s2943,plain,
( ~ spl0_17
| ~ spl0_54
| ~ spl0_65
| ~ spl0_76
| spl0_82 ),
inference(rat,[],[s98,s109]) ).
cnf(s2945,plain,
( ~ spl0_17
| ~ spl0_54
| ~ spl0_65
| ~ spl0_70
| spl0_82 ),
inference(rat,[],[s93,s109]) ).
cnf(s2953,plain,
( spl0_14
| spl0_30 ),
inference(rat,[],[s30,s188]) ).
cnf(s2956,plain,
( spl0_70
| ~ spl0_230
| ~ spl0_256
| ~ spl0_59
| spl0_20
| spl0_18
| spl0_28 ),
inference(rat,[],[s1533,s2080,s596,s2095,s2247,s1001,s2543,s2630,s2694,s2629,s1481,s2672,s2706,s1067,s2528,s1057,s423,s109,s188,s859,s685]) ).
cnf(s2958,plain,
( ~ spl0_70
| spl0_76
| spl0_238
| spl0_240
| ~ spl0_173
| spl0_20
| spl0_18
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s1081,s1094,s1381,s594,s2643,s1475,s940,s1080,s2529,s2357,s1074,s2629,s1010,s2624,s2013,s2605,s1315,s2829,s212,s216,s2821,s2616,s2935,s109,s132,s859,s818,s188,s907]) ).
cnf(s2959,plain,
( ~ spl0_82
| spl0_70
| spl0_76
| spl0_238
| ~ spl0_173
| spl0_20
| spl0_18
| ~ spl0_2 ),
inference(rat,[],[s1067,s2629,s2624,s2605,s2829,s212,s216,s2935,s109,s685,s188,s132]) ).
cnf(s2960,plain,
( ~ spl0_256
| ~ spl0_72
| spl0_70
| ~ spl0_59
| ~ spl0_145
| ~ spl0_237
| spl0_20
| spl0_18
| spl0_28
| spl0_6
| ~ spl0_2 ),
inference(rat,[],[s596,s1223,s1536,s2221,s2060,s2826,s1010,s2554,s2956,s1067,s423,s109,s685]) ).
cnf(s2961,plain,
( spl0_11
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1010,s2694,s2221,s2529,s1223,s596,s1137,s1640,s1734,s2060,s2554,s1173,s2960,s257,s2543,s2959,s1481,s2672,s2528,s2958,s66,s448,s2616,s65,s246,s609,s2932,s41,s423,s1408,s73,s1728,s2546,s27,s2025,s2051,s71,s20,s818,s109,s188,s132,s907]) ).
cnf(s2965,plain,
( ~ spl0_286
| ~ spl0_113
| spl0_76
| ~ spl0_82
| ~ spl0_5 ),
inference(rat,[],[s2013,s1010,s1315,s2616,s1074,s1546,s907]) ).
cnf(s2966,plain,
( spl0_285
| ~ spl0_173
| spl0_20
| spl0_18
| ~ spl0_70
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2958,s2845,s2674,s1138,s1146,s1080,s937,s2357,s1925,s2965,s212,s216,s101,s2821,s20,s2051,s71,s859,s685,s132,s818,s1337]) ).
cnf(s2967,plain,
( ~ spl0_285
| ~ spl0_113
| spl0_76
| ~ spl0_82
| ~ spl0_5 ),
inference(rat,[],[s2605,s2622,s2829,s2935,s2629,s2564,s1337]) ).
cnf(s2968,plain,
( ~ spl0_28
| spl0_285
| spl0_40
| ~ spl0_11
| ~ spl0_4
| spl0_35 ),
inference(rat,[],[s1169,s1193,s1052,s2518,s38,s132]) ).
cnf(s2969,plain,
( spl0_20
| spl0_18
| ~ spl0_70
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s423,s2966,s2968,s2967,s212,s101,s2051,s1459,s216,s2821,s20,s2961,s71,s132]) ).
cnf(s2970,plain,
( ~ spl0_334
| spl0_105
| ~ spl0_145
| ~ spl0_70
| ~ spl0_2 ),
inference(rat,[],[s1843,s2825,s1738,s2060,s109]) ).
cnf(s2971,plain,
( ~ spl0_256
| spl0_334
| ~ spl0_140
| spl0_18
| spl0_285
| spl0_286
| spl0_104
| ~ spl0_82 ),
inference(rat,[],[s1001,s2011,s1714,s1534,s1010,s596,s1596,s2709,s1551,s1233,s2523,s1106,s2842,s2630,s1476,s859,s109,s1337,s132]) ).
cnf(s2972,plain,
( spl0_18
| ~ spl0_70
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1226,s1865,s2643,s2819,s2524,s2500,s2154,s1232,s596,s1551,s1106,s2842,s1492,s2935,s2815,s735,s2622,s2971,s2970,s454,s31,s452,s545,s57,s2103,s2833,s2969,s344,s448,s2965,s2968,s2967,s212,s101,s2051,s1459,s216,s2821,s20,s2961,s71,s818,s132,s109,s1337]) ).
cnf(s2975,plain,
( ~ spl0_256
| spl0_334
| ~ spl0_140
| ~ spl0_22
| spl0_81
| spl0_28
| spl0_285
| spl0_286
| ~ spl0_145
| spl0_69
| spl0_104
| ~ spl0_82
| ~ spl0_4
| spl0_35 ),
inference(rat,[],[s595,s1821,s2768,s1899,s2876,s2713,s2144,s1614,s2502,s2709,s2674,s1138,s1714,s2677,s1572,s2845,s999,s2616,s2154,s1232,s2215,s2012,s596,s2812,s1260,s1534,s2826,s1010,s1551,s1263,s1596,s1106,s1233,s2842,s2630,s1905,s1476,s1858,s109,s132,s907,s969,s1337]) ).
cnf(s2976,plain,
( ~ spl0_70
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1823,s1260,s1902,s2778,s595,s1380,s1835,s2825,s1843,s2695,s2247,s2712,s1010,s2012,s2616,s1572,s2154,s596,s1363,s2823,s1551,s1831,s2235,s2584,s1106,s2022,s1853,s2842,s2710,s2674,s1492,s2706,s2935,s2853,s2815,s1028,s735,s2622,s2975,s2970,s452,s545,s2103,s2636,s2848,s2972,s2968,s2967,s2965,s212,s1459,s448,s216,s101,s344,s2821,s2051,s71,s20,s2961,s132,s109,s907,s969,s1337,s1309,s685]) ).
cnf(s2977,plain,
( spl0_20
| ~ spl0_256
| spl0_28
| spl0_18
| spl0_285
| spl0_70 ),
inference(rat,[],[s1067,s423,s109,s685]) ).
cnf(s2978,plain,
( spl0_104
| ~ spl0_230
| ~ spl0_234
| ~ spl0_288
| ~ spl0_256
| spl0_286
| spl0_18
| ~ spl0_236
| spl0_70 ),
inference(rat,[],[s1569,s1344,s594,s2493,s2490,s1617,s2712,s2630,s109,s188]) ).
cnf(s2979,plain,
( ~ spl0_104
| spl0_284
| ~ spl0_145
| ~ spl0_11 ),
inference(rat,[],[s545,s2825,s1481,s1648,s188]) ).
cnf(s2980,plain,
( ~ spl0_288
| ~ spl0_20
| ~ spl0_256
| spl0_286
| spl0_28
| spl0_18
| ~ spl0_145
| ~ spl0_236
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2218,s1130,s1010,s1617,s2978,s2630,s2979,s2706,s2710,s2060,s1416,s2842,s2961,s103,s2976,s1033,s1476,s685]) ).
cnf(s2981,plain,
( ~ spl0_256
| spl0_286
| spl0_28
| spl0_18
| ~ spl0_145
| spl0_285
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2215,s1010,s1001,s1281,s2247,s1714,s452,s2747,s596,s2726,s2695,s2709,s1551,s1174,s2523,s1106,s2980,s2977,s1476,s2976,s1108,s859,s109,s132]) ).
cnf(s2982,plain,
( ~ spl0_82
| spl0_18
| spl0_76
| spl0_285
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2215,s1010,s1001,s1281,s2247,s1714,s452,s2747,s596,s2726,s2695,s2709,s1551,s1174,s2523,s1106,s1146,s2674,s1492,s2935,s2815,s735,s2622,s2981,s2965,s2968,s212,s1459,s216,s2051,s71,s2961,s2976,s448,s859,s109,s132,s1337]) ).
cnf(s2983,plain,
( ~ spl0_334
| spl0_308
| ~ spl0_237
| ~ spl0_286
| ~ spl0_2 ),
inference(rat,[],[s596,s1536,s1223,s2060,s109]) ).
cnf(s2984,plain,
( spl0_288
| spl0_294
| spl0_82
| spl0_18
| spl0_285
| spl0_70 ),
inference(rat,[],[s2095,s2543,s2695,s1480,s1174,s2523,s188,s109,s132]) ).
cnf(s2985,plain,
( ~ spl0_256
| spl0_82
| spl0_18
| ~ spl0_145
| spl0_285
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2983,s2823,s2616,s1527,s1546,s2833,s2981,s2977,s2968,s1484,s2842,s2984,s1476,s2051,s71,s2961,s2976,s907]) ).
cnf(s2986,plain,
( spl0_18
| spl0_76
| spl0_285
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1162,s594,s2557,s1489,s1381,s2842,s2816,s2060,s1174,s545,s1346,s1868,s2979,s1480,s1481,s1491,s2543,s1171,s2622,s2985,s2982,s20,s2961,s2976,s1108,s448,s109,s132,s1337]) ).
cnf(s2987,plain,
( ~ spl0_288
| spl0_286
| spl0_395
| ~ spl0_256
| ~ spl0_145
| spl0_285
| spl0_70
| ~ spl0_11
| ~ spl0_4
| spl0_35 ),
inference(rat,[],[s1640,s2845,s1516,s1138,s596,s2502,s2247,s2712,s1010,s2221,s257,s1617,s2630,s2979,s1734,s2675,s1146,s1476,s1033,s109,s818]) ).
cnf(s2988,plain,
( ~ spl0_82
| ~ spl0_256
| spl0_76
| spl0_285
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2238,s2813,s2876,s2709,s1593,s1833,s2726,s2094,s451,s1834,s2975,s2731,s1636,s1904,s1138,s592,s2845,s2270,s1315,s2271,s1260,s1010,s1263,s2247,s2154,s1233,s596,s2695,s1480,s1737,s1551,s1174,s1106,s2987,s1033,s2965,s212,s1905,s2848,s216,s2051,s71,s2961,s2976,s448,s1160,s31,s57,s2636,s2986,s20,s1476,s132,s109,s969,s685,s1337]) ).
cnf(s2989,plain,
( spl0_284
| spl0_286
| spl0_82
| ~ spl0_256
| ~ spl0_145
| spl0_285
| spl0_70
| ~ spl0_11
| ~ spl0_4
| spl0_35 ),
inference(rat,[],[s1138,s2845,s1345,s1640,s1569,s1516,s594,s596,s2490,s2247,s2712,s1010,s2221,s257,s2543,s2630,s2979,s1734,s1108,s1033,s109,s818]) ).
cnf(s2990,plain,
( spl0_286
| spl0_82
| ~ spl0_256
| ~ spl0_145
| spl0_285
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2221,s1010,s257,s2247,s2543,s596,s2695,s1480,s1551,s1174,s1106,s2842,s2060,s2989,s71,s2961,s2976,s1476,s109]) ).
cnf(s2991,plain,
( spl0_20
| spl0_75
| spl0_81
| ~ spl0_72 ),
inference(rat,[],[s1154,s1713,s41,s109]) ).
cnf(s2992,plain,
( spl0_356
| spl0_122
| ~ spl0_258
| ~ spl0_316
| spl0_285
| spl0_70 ),
inference(rat,[],[s1834,s2094,s2087,s132,s859]) ).
cnf(s2993,plain,
( ~ spl0_256
| spl0_76
| spl0_285
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s592,s1270,s1370,s1600,s2293,s2992,s2543,s2695,s1480,s1174,s1106,s2842,s2983,s1001,s2823,s2085,s2616,s1527,s1546,s2990,s2988,s1476,s2051,s71,s2961,s2976,s448,s31,s57,s2636,s2986,s20,s109,s859,s907,s132]) ).
cnf(s2994,plain,
( ~ spl0_104
| spl0_76
| spl0_285
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1162,s594,s2557,s1489,s1381,s2842,s2816,s2060,s1174,s545,s1346,s1868,s2979,s1480,s1481,s1491,s20,s2961,s2976,s1108,s448,s2622,s2993,s109,s132,s1337]) ).
cnf(s2995,plain,
( spl0_76
| spl0_285
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2271,s1315,s1010,s1572,s2247,s596,s2695,s1551,s1174,s1106,s1146,s2674,s1492,s1033,s2935,s2965,s2815,s212,s2835,s2543,s2994,s321,s1171,s735,s2622,s2993,s448,s2051,s71,s2976,s109,s132,s1337]) ).
cnf(s2996,plain,
( ~ spl0_286
| ~ spl0_30
| spl0_369
| ~ spl0_381
| ~ spl0_22
| ~ spl0_5 ),
inference(rat,[],[s1270,s592,s1001,s2085,s1370,s1527,s1546,s109,s859]) ).
cnf(s2997,plain,
( spl0_288
| spl0_82
| spl0_285
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2247,s596,s1010,s1551,s2221,s2996,s31,s1600,s57,s2293,s2636,s2992,s2984,s1106,s2051,s20,s257,s1476,s2630,s1171,s321,s2641,s71,s2976,s2544,s2995,s109]) ).
cnf(s2998,plain,
( ~ spl0_286
| ~ spl0_401
| ~ spl0_334
| spl0_238
| ~ spl0_5 ),
inference(rat,[],[s1137,s596,s1640,s2616,s1223,s1546,s109,s907]) ).
cnf(s2999,plain,
( ~ spl0_288
| spl0_238
| ~ spl0_256
| ~ spl0_72
| spl0_104
| spl0_285
| spl0_70
| ~ spl0_4
| spl0_35 ),
inference(rat,[],[s1138,s2845,s1345,s1640,s1569,s1516,s594,s596,s2490,s2247,s2712,s1010,s2221,s1033,s2998,s1734,s2675,s2842,s1146,s2051,s1108,s1476,s2630,s109,s818]) ).
cnf(s3000,plain,
( spl0_285
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1888,s595,s2154,s1375,s596,s2307,s1137,s2505,s1640,s2616,s1381,s1834,s1546,s2557,s2239,s2221,s1901,s1010,s1734,s1596,s2675,s1233,s2226,s2997,s1174,s2999,s2630,s1531,s1476,s2584,s1171,s257,s2600,s321,s2544,s2641,s2995,s2051,s71,s20,s2976,s109,s907,s132,s818,s1337,s1309,s859]) ).
cnf(s3001,plain,
( ~ spl0_236
| ~ spl0_225
| spl0_287
| spl0_286 ),
inference(rat,[],[s1569,s1345]) ).
cnf(s3002,plain,
( spl0_356
| ~ spl0_310
| ~ spl0_267
| ~ spl0_258
| spl0_122
| spl0_288
| spl0_286
| spl0_70 ),
inference(rat,[],[s1264,s2778,s2091,s595,s1834,s2286,s2087,s1249,s103,s109,s132,s859]) ).
cnf(s3003,plain,
( ~ spl0_18
| ~ spl0_356
| ~ spl0_285
| spl0_6 ),
inference(rat,[],[s1908,s1911,s2876,s2706,s1833,s2669,s1600,s2636,s1781,s2516,s2293,s685,s132]) ).
cnf(s3004,plain,
( ~ spl0_145
| spl0_288
| spl0_82
| spl0_284
| ~ spl0_285
| spl0_70
| ~ spl0_11
| ~ spl0_4
| spl0_35 ),
inference(rat,[],[s2524,s2493,s3003,s3002,s1037,s1138,s2845,s2616,s1536,s1030,s596,s2247,s2712,s1010,s2221,s257,s2695,s2543,s2492,s2979,s1125,s2935,s2998,s1734,s2554,s20,s2506,s1106,s2564,s2051,s818,s188,s907,s109]) ).
cnf(s3005,plain,
( ~ spl0_258
| ~ spl0_76
| spl0_284
| ~ spl0_285
| spl0_70
| ~ spl0_4
| spl0_35 ),
inference(rat,[],[s2845,s1138,s2616,s2524,s1536,s2493,s1030,s3003,s596,s2087,s2247,s2935,s1834,s2239,s1901,s2584,s2600,s2712,s1010,s2221,s257,s321,s2641,s2998,s1734,s2554,s20,s2564,s2051,s2544,s907,s818,s188,s109,s859,s132,s1309]) ).
cnf(s3006,plain,
( ~ spl0_18
| ~ spl0_232
| ~ spl0_267
| ~ spl0_415
| spl0_359
| spl0_286
| ~ spl0_239
| spl0_284
| ~ spl0_285
| ~ spl0_11
| spl0_6 ),
inference(rat,[],[s1536,s1030,s1462,s596,s2153,s2154,s1888,s595,s2283,s594,s2307,s1094,s2505,s2488,s2477,s736,s1249,s2669,s3003,s2636,s1125,s109]) ).
cnf(s3007,plain,
( ~ spl0_76
| spl0_284
| ~ spl0_285
| spl0_70
| ~ spl0_11
| ~ spl0_4
| spl0_35 ),
inference(rat,[],[s1375,s2307,s595,s2505,s1888,s2620,s2154,s1232,s596,s1137,s1640,s2616,s2845,s1138,s2524,s2493,s3006,s2622,s2630,s3005,s2712,s1834,s1010,s2239,s2221,s1901,s2584,s257,s2600,s321,s2544,s2641,s1125,s2935,s2998,s1734,s2554,s20,s2564,s2051,s109,s907,s818,s188,s1337,s132,s1309,s859]) ).
cnf(s3008,plain,
( ~ spl0_18
| spl0_287
| ~ spl0_240
| ~ spl0_258
| ~ spl0_267
| spl0_122
| spl0_286
| spl0_238
| ~ spl0_285
| spl0_70
| spl0_6 ),
inference(rat,[],[s2238,s2876,s2812,s2144,s452,s1614,s2672,s2677,s2694,s999,s2080,s2778,s1533,s595,s1834,s2706,s2286,s2087,s2669,s3003,s1590,s1160,s2636,s2554,s596,s2247,s1010,s2221,s257,s1037,s109,s132,s685,s859]) ).
cnf(s3009,plain,
( spl0_287
| ~ spl0_240
| spl0_6
| ~ spl0_258
| ~ spl0_267
| spl0_122
| spl0_286
| spl0_238
| ~ spl0_285
| spl0_70 ),
inference(rat,[],[s2524,s2493,s3008,s188,s818]) ).
cnf(s3010,plain,
( ~ spl0_258
| ~ spl0_267
| spl0_122
| spl0_284
| ~ spl0_285
| spl0_70
| ~ spl0_4
| spl0_35 ),
inference(rat,[],[s3009,s1138,s2845,s2616,s1536,s1030,s596,s2247,s2935,s1010,s2221,s257,s2998,s1734,s2554,s20,s2564,s2051,s907,s109,s818]) ).
cnf(s3011,plain,
( spl0_82
| spl0_284
| ~ spl0_285
| spl0_70
| ~ spl0_11
| ~ spl0_4
| spl0_35 ),
inference(rat,[],[s1904,s596,s592,s1137,s1273,s1640,s2616,s2845,s1138,s2524,s2308,s2493,s2484,s3006,s2731,s1834,s2239,s1901,s2584,s2600,s2835,s2477,s735,s2622,s2630,s3010,s2712,s1010,s2221,s257,s2543,s3004,s1125,s2935,s1033,s2998,s1734,s2554,s20,s2564,s2051,s2979,s448,s3007,s109,s907,s818,s188,s132,s1309,s859,s1337]) ).
cnf(s3012,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s212,s2967,s216,s3011,s3007,s2060,s2554,s3000,s2976,s2961,s20,s2051,s71,s132]) ).
cnf(s3013,plain,
( spl0_6
| ~ spl0_5
| ~ spl0_356
| ~ spl0_18
| ~ spl0_286
| ~ spl0_2 ),
inference(rat,[],[s2996,s31,s1600,s57,s2293,s2636]) ).
cnf(s3014,plain,
( spl0_440
| ~ spl0_316
| ~ spl0_72
| ~ spl0_258
| ~ spl0_10 ),
inference(rat,[],[s2245,s2533,s2096,s818,s132]) ).
cnf(s3015,plain,
( ~ spl0_5
| ~ spl0_51
| ~ spl0_356
| ~ spl0_18
| ~ spl0_286
| ~ spl0_2 ),
inference(rat,[],[s1392,s198,s3013,s1728]) ).
cnf(s3016,plain,
( spl0_122
| ~ spl0_258
| spl0_334
| ~ spl0_286
| spl0_82
| spl0_70
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s22,s1440,s1452,s1432,s2710,s1143,s262,s1145,s51,s2546,s260,s198,s41,s1391,s1392,s2562,s3015,s75,s2057,s3014,s2992,s2984,s2518,s1106,s2842,s1476,s1171,s257,s71,s9,s3012,s132,s109]) ).
cnf(s3017,plain,
( ~ spl0_258
| spl0_334
| ~ spl0_2
| ~ spl0_286
| spl0_82
| spl0_70
| spl0_285 ),
inference(rat,[],[s1174,s1480,s1617,s2543,s3016,s109]) ).
cnf(s3018,plain,
( spl0_294
| spl0_258
| spl0_334
| spl0_70
| spl0_285 ),
inference(rat,[],[s1174,s2695,s2842,s109]) ).
cnf(s3019,plain,
( ~ spl0_294
| ~ spl0_286
| spl0_82
| spl0_70
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s1508,s1346,s1546,s1491,s2562,s2543,s1390,s1171,s594,s2935,s1473,s1476,s1489,s1492,s109]) ).
cnf(s3020,plain,
( spl0_288
| spl0_122
| ~ spl0_258
| ~ spl0_286
| spl0_82
| spl0_70
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s262,s1145,s986,s51,s2546,s260,s198,s41,s1037,s1391,s1392,s1424,s2562,s3015,s75,s2057,s3014,s2992,s2984,s1106,s71,s24,s9,s3012,s3019,s596,s1223,s3017,s257,s109]) ).
cnf(s3021,plain,
( spl0_122
| ~ spl0_258
| ~ spl0_286
| spl0_82
| spl0_70
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s2835,s1480,s1538,s2492,s2534,s448,s2641,s1531,s2998,s2562,s1445,s3020,s1171,s257,s71,s1734,s2535,s2060,s3017,s9,s3012,s132,s109,s818]) ).
cnf(s3022,plain,
( ~ spl0_258
| ~ spl0_286
| ~ spl0_2
| spl0_82
| spl0_70
| spl0_285 ),
inference(rat,[],[s1174,s1480,s1617,s2543,s3021,s109]) ).
cnf(s3023,plain,
( ~ spl0_286
| spl0_82
| spl0_70
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s1171,s2543,s1531,s2544,s2641,s2998,s447,s2562,s2492,s1445,s2535,s1734,s1174,s2060,s2695,s3018,s3022,s3019,s71,s9,s3012,s109,s818]) ).
cnf(s3024,plain,
( spl0_104
| spl0_254
| ~ spl0_230
| ~ spl0_256
| ~ spl0_72
| spl0_286
| ~ spl0_236
| ~ spl0_2 ),
inference(rat,[],[s1538,s2534,s2835,s2641,s1531,s2935,s1343,s1381,s2643,s1162,s3001,s594,s2490,s2712,s71,s9,s3012,s132,s109]) ).
cnf(s3025,plain,
( spl0_122
| ~ spl0_258
| spl0_286
| spl0_70
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s2492,s448,s1480,s2544,s3024,s1462,s1536,s2535,s2060,s2842,s1106,s1551,s596,s2247,s1010,s1476,s2221,s1171,s257,s1108,s2824,s9,s3012,s132,s818,s109]) ).
cnf(s3026,plain,
( ~ spl0_258
| spl0_82
| spl0_70
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s1174,s1480,s1617,s2543,s3025,s3023,s109]) ).
cnf(s3027,plain,
( ~ spl0_256
| spl0_258
| spl0_70
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s2492,s2535,s448,s2060,s2544,s2695,s3018,s2630,s1476,s9,s3012,s818,s132]) ).
cnf(s3028,plain,
( spl0_82
| spl0_70
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s2842,s1489,s2060,s594,s2535,s1569,s2492,s1174,s1346,s448,s1480,s1491,s2544,s2543,s1171,s2622,s3027,s3026,s3023,s9,s3012,s1108,s109,s818,s132,s1337]) ).
cnf(s3029,plain,
( spl0_18
| spl0_288
| ~ spl0_258
| spl0_122
| spl0_70
| spl0_285 ),
inference(rat,[],[s2523,s2095,s132,s188]) ).
cnf(s3030,plain,
( ~ spl0_6
| ~ spl0_432
| spl0_254
| ~ spl0_76
| ~ spl0_72
| ~ spl0_10 ),
inference(rat,[],[s2620,s1519,s2508,s2495,s2806,s2785]) ).
cnf(s3031,plain,
( spl0_122
| spl0_70
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s2842,s1348,s1223,s2153,s595,s596,s594,s1375,s1030,s1508,s2307,s2012,s1343,s2505,s2584,s2616,s1381,s2600,s1546,s2557,s2562,s3030,s2009,s1010,s2935,s1074,s1231,s1531,s3025,s2641,s3027,s1476,s2534,s1171,s257,s71,s9,s1538,s216,s3028,s3012,s969,s109,s1309,s907,s859,s132]) ).
cnf(s3032,plain,
( ~ spl0_258
| ~ spl0_308
| spl0_246
| ~ spl0_76
| spl0_240
| ~ spl0_335
| spl0_254
| ~ spl0_122
| ~ spl0_439
| ~ spl0_82
| spl0_70
| spl0_285
| spl0_35 ),
inference(rat,[],[s1653,s1245,s1868,s595,s2713,s1348,s2490,s2154,s594,s596,s1508,s1474,s2624,s1030,s1343,s2478,s2935,s1260,s2674,s1263,s2226,s1233,s1174,s1617,s132,s109,s969,s188]) ).
cnf(s3033,plain,
( ~ spl0_286
| spl0_70
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s596,s1513,s1223,s2695,s3018,s1492,s2935,s2478,s2622,s3027,s3032,s2012,s1315,s2616,s1381,s1010,s2965,s1546,s2557,s1074,s1231,s71,s2097,s9,s3012,s212,s216,s3028,s2562,s1390,s3031,s109,s1337,s907,s132]) ).
cnf(s3034,plain,
( ~ spl0_258
| spl0_70
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s2675,s1474,s2533,s2478,s2057,s2935,s75,s2674,s2301,s1572,s2616,s2012,s1010,s596,s1596,s1551,s1233,s1106,s1617,s71,s2097,s216,s3028,s3031,s2824,s3033,s9,s3012,s109,s818,s907,s1337,s132]) ).
cnf(s3035,plain,
( ~ spl0_18
| ~ spl0_190
| spl0_6
| ~ spl0_82
| ~ spl0_2 ),
inference(rat,[],[s2953,s57,s542,s2636,s2848]) ).
cnf(s3036,plain,
( ~ spl0_83
| ~ spl0_230
| spl0_18
| spl0_286
| ~ spl0_122 ),
inference(rat,[],[s2529,s2694,s358,s818]) ).
cnf(s3037,plain,
( ~ spl0_230
| spl0_18
| ~ spl0_76
| ~ spl0_190
| spl0_126
| spl0_286
| ~ spl0_122
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s2833,s1420,s57,s2546,s36,s31,s2855,s315,s542,s104,s2673,s3036,s2519,s2712,s71,s2,s3012,s2544,s17]) ).
cnf(s3038,plain,
( spl0_70
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s1572,s596,s2616,s1516,s2012,s1639,s1010,s3037,s3035,s447,s2818,s2492,s2590,s2535,s1843,s2060,s1163,s2695,s3018,s2674,s609,s1492,s2935,s2478,s2622,s3027,s3034,s1033,s2824,s3033,s2562,s1390,s3031,s212,s2097,s216,s3028,s71,s9,s3012,s109,s907,s818,s132,s1337]) ).
cnf(s3039,plain,
( ~ spl0_51
| spl0_28
| spl0_82
| ~ spl0_70
| ~ spl0_2 ),
inference(rat,[],[s22,s1440,s1452,s1432,s2710,s1143,s54,s2945,s2546,s198,s75,s71,s9,s3012,s1445,s41,s1392,s2821]) ).
cnf(s3040,plain,
( spl0_82
| ~ spl0_72
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s2991,s2672,s2673,s215,s372,s2096,s53,s2057,s3039,s2518,s1392,s1445,s2821,s9,s3012,s344,s3038,s188,s132]) ).
cnf(s3041,plain,
( spl0_122
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s1440,s1432,s23,s1143,s364,s262,s2560,s1145,s51,s2672,s254,s2546,s1154,s198,s41,s2518,s1392,s1445,s2562,s101,s2641,s2057,s2534,s2096,s1538,s216,s3040,s257,s71,s9,s3012,s3038,s109,s132]) ).
cnf(s3042,plain,
( ~ spl0_258
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s2675,s1474,s2533,s2478,s2057,s2935,s75,s2674,s2301,s1572,s2616,s2012,s596,s1010,s1551,s1596,s1106,s1233,s1617,s71,s2097,s2824,s2965,s101,s2562,s1390,s212,s216,s2543,s3041,s344,s3038,s9,s3012,s109,s818,s907,s1337,s132]) ).
cnf(s3043,plain,
( ~ spl0_227
| ~ spl0_267
| ~ spl0_265
| ~ spl0_400
| spl0_256 ),
inference(rat,[],[s1893,s1834,s1260,s1902,s1888,s2778,s132]) ).
cnf(s3044,plain,
( spl0_288
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s1164,s2643,s2620,s1381,s1380,s1374,s595,s3043,s2712,s1010,s2012,s2616,s1572,s2154,s1232,s596,s2584,s1551,s1853,s1106,s2824,s2965,s101,s2562,s1390,s212,s1846,s2674,s71,s1843,s2695,s1492,s2935,s2478,s2622,s2630,s2097,s216,s2543,s3041,s344,s3038,s9,s3012,s3042,s109,s907,s1309,s969,s132,s1337]) ).
cnf(s3045,plain,
( spl0_83
| spl0_285
| ~ spl0_2 ),
inference(rat,[],[s2833,s1408,s57,s2637,s27,s31,s45,s542,s92,s2673,s2562,s609,s2536,s3035,s2818,s2060,s2842,s3044,s2590,s1843,s2695,s1492,s2935,s2478,s2622,s2630,s2097,s9,s3042,s212,s216,s1390,s2543,s3041,s344,s3038,s3012,s132,s109,s1337]) ).
cnf(s3046,plain,
( spl0_285
| ~ spl0_2 ),
inference(rat,[],[s1572,s596,s2616,s1516,s2012,s1639,s1010,s3036,s3045,s3035,s2818,s2060,s2842,s3044,s2590,s1843,s2695,s2674,s1492,s2935,s2478,s2622,s2630,s3042,s1033,s2824,s2965,s212,s2097,s101,s216,s2562,s2543,s1390,s3041,s344,s3038,s71,s9,s3012,s109,s907,s1337,s132]) ).
cnf(s3047,plain,
( spl0_6
| ~ spl0_286
| ~ spl0_2 ),
inference(rat,[],[s1734,s2998,s2060,s2564,s2554,s2562,s3046,s818]) ).
cnf(s3048,plain,
( ~ spl0_51
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s22,s1452,s1440,s2710,s1432,s1143,s262,s1145,s51,s260,s1158,s2546,s198,s75,s71,s9,s3012,s1445,s1391,s41,s1392]) ).
cnf(s3049,plain,
( ~ spl0_286
| spl0_122
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s2488,s2712,s961,s1481,s45,s2528,s2536,s27,s1160,s1010,s284,s2009,s51,s2507,s960,s2627,s391,s2859,s392,s372,s22,s2096,s53,s1485,s2057,s3048,s2807,s41,s1392,s1424,s3047,s1231,s9,s3012,s257,s2840,s188,s132,s109]) ).
cnf(s3050,plain,
( spl0_69
| spl0_288
| ~ spl0_258
| spl0_6
| spl0_122
| spl0_82
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s2694,s97,s1565,s45,s17,s2536,s3003,s2087,s1834,s2239,s2025,s1901,s2584,s81,s2600,s2942,s2641,s2534,s1538,s2564,s2562,s1734,s981,s1033,s596,s2247,s1010,s2221,s3049,s257,s75,s2057,s2533,s1106,s9,s3012,s2060,s2554,s3046,s71,s859,s132,s188,s1309,s818,s109]) ).
cnf(s3051,plain,
( spl0_104
| ~ spl0_69
| ~ spl0_301
| ~ spl0_258
| spl0_6
| spl0_122
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s2853,s1028,s2622,s2706,s2490,s1230,s594,s452,s1094,s2672,s2673,s2232,s2677,s2694,s1781,s1565,s39,s2516,s17,s2293,s3003,s2087,s1834,s2239,s1901,s2584,s2488,s2600,s2712,s2835,s2,s3012,s1010,s2221,s3049,s257,s2935,s2564,s2562,s1734,s2060,s2554,s3046,s219,s226,s1337,s685,s109,s132,s859,s1309,s818]) ).
cnf(s3052,plain,
( ~ spl0_104
| ~ spl0_455
| spl0_70 ),
inference(rat,[],[s2492,s448,s1480,s2544,s132]) ).
cnf(s3053,plain,
( spl0_288
| ~ spl0_258
| spl0_6
| spl0_122
| spl0_82
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s3051,s3050,s981,s1033,s3052,s2535,s2060,s2554,s3046,s9,s3012,s596,s2247,s1010,s2221,s3049,s257,s109,s818]) ).
cnf(s3054,plain,
( spl0_69
| ~ spl0_288
| spl0_246
| ~ spl0_240
| ~ spl0_267
| ~ spl0_5
| ~ spl0_230
| ~ spl0_72
| spl0_82
| ~ spl0_2 ),
inference(rat,[],[s2490,s594,s2624,s1094,s2815,s736,s2710,s35,s1416,s243,s198,s2025,s81,s75,s2942,s382,s2057,s2534,s2311,s2096,s1538,s71,s9,s3012,s2935,s2564,s3046,s109,s188,s132]) ).
cnf(s3055,plain,
( ~ spl0_258
| spl0_6
| spl0_122
| spl0_82
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s2719,s1247,s2015,s2283,s1873,s595,s2622,s1888,s2490,s2153,s594,s1094,s2773,s2232,s2786,s1781,s592,s2516,s2273,s2293,s2484,s2087,s2731,s1834,s2239,s2307,s1901,s2584,s2600,s2835,s3051,s3054,s3053,s2505,s1381,s2643,s3009,s1462,s2616,s1536,s596,s2247,s1125,s2824,s1033,s2935,s2564,s2562,s1734,s2712,s3052,s2535,s2060,s2554,s3046,s9,s3012,s1010,s2221,s3049,s257,s109,s1337,s132,s859,s1309,s907,s818]) ).
cnf(s3056,plain,
( spl0_288
| spl0_359
| spl0_66
| ~ spl0_400
| ~ spl0_232
| ~ spl0_267
| spl0_6
| ~ spl0_230
| spl0_286
| ~ spl0_78
| ~ spl0_2 ),
inference(rat,[],[s595,s1375,s1888,s2307,s2301,s2154,s2505,s596,s2488,s981,s2815,s1565,s736,s2694,s2669,s2672,s2833,s2603,s38,s17,s2536,s3006,s198,s2025,s81,s75,s2057,s2533,s2850,s1106,s71,s9,s3012,s1125,s1033,s1484,s2935,s1834,s2239,s1901,s1734,s2060,s2554,s2564,s2562,s3046,s2584,s109,s188,s818,s132,s1309]) ).
cnf(s3057,plain,
( spl0_69
| ~ spl0_288
| spl0_359
| spl0_66
| ~ spl0_232
| ~ spl0_267
| spl0_6
| spl0_286
| ~ spl0_72
| ~ spl0_2 ),
inference(rat,[],[s38,s2710,s2536,s1416,s736,s3006,s198,s2025,s81,s75,s2057,s2477,s2096,s71,s9,s3012,s1484,s2935,s1834,s2239,s1901,s1734,s2060,s2554,s2564,s2562,s3046,s2584,s188,s132,s1309,s818]) ).
cnf(s3058,plain,
( spl0_237
| spl0_349
| spl0_352
| ~ spl0_76
| ~ spl0_400
| spl0_6
| spl0_122
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s2855,s104,s2546,s2694,s2576,s1565,s2273,s592,s2786,s17,s2719,s3003,s1247,s1249,s2298,s2283,s595,s1888,s2153,s594,s2780,s2849,s1868,s1519,s2845,s1462,s2616,s2,s3012,s103,s1033,s1010,s2221,s3049,s257,s1834,s2239,s1901,s1734,s2060,s2554,s2564,s3046,s2584,s2600,s2641,s71,s2562,s109,s132,s907,s1309,s859,s818]) ).
cnf(s3059,plain,
( spl0_6
| spl0_122
| spl0_82
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s1904,s592,s596,s1273,s1536,s3058,s2307,s2505,s2488,s3057,s2308,s2484,s3056,s2731,s1834,s2239,s1901,s2584,s2600,s2942,s2641,s447,s2492,s1843,s2622,s2695,s2630,s3055,s2712,s3052,s2535,s1734,s2060,s2564,s2554,s2562,s71,s1125,s3046,s103,s2824,s9,s3012,s1033,s1010,s2221,s3049,s257,s109,s132,s1309,s859,s1337,s818]) ).
cnf(s3060,plain,
( spl0_122
| spl0_82
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s2525,s1160,s1490,s284,s51,s1070,s391,s2859,s392,s372,s22,s53,s1485,s41,s1037,s3048,s1392,s1424,s3059,s1010,s2221,s3049,s2840,s257,s9,s3012,s818,s188,s132,s109]) ).
cnf(s3061,plain,
( spl0_82
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s2535,s2060,s3052,s2554,s2543,s1390,s3060,s9,s3012,s3046,s818]) ).
cnf(s3062,plain,
( ~ spl0_228
| spl0_288
| spl0_122
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s2855,s104,s2546,s2694,s2576,s1565,s2616,s981,s1536,s2,s2824,s1033,s1010,s2221,s3049,s17,s3035,s2818,s2590,s1843,s2695,s2087,s2293,s2516,s1781,s2232,s2477,s2935,s2622,s2629,s1834,s2239,s1901,s1734,s2564,s2584,s2600,s2562,s2641,s2534,s1538,s71,s1125,s2060,s2554,s3046,s212,s3048,s2057,s2096,s257,s9,s3012,s216,s3061,s907,s132,s109,s859,s1309,s818,s1337]) ).
cnf(s3063,plain,
( spl0_288
| spl0_122
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s1374,s1380,s595,s1381,s2616,s1888,s2643,s2301,s2154,s1232,s596,s3062,s75,s2524,s2493,s2712,s2544,s1010,s2221,s3035,s2818,s2590,s1843,s2695,s2087,s2293,s2516,s1781,s2232,s2477,s2935,s2622,s2629,s1834,s2239,s1901,s1734,s2564,s2584,s2600,s2562,s2641,s2534,s1538,s71,s1125,s2060,s2554,s3046,s212,s3048,s2057,s2096,s257,s9,s3012,s216,s3061,s3049,s109,s907,s132,s859,s1309,s818,s1337,s188]) ).
cnf(s3064,plain,
( spl0_122
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s2505,s1381,s2307,s2643,s3058,s1462,s1536,s596,s1904,s592,s2287,s1276,s2484,s3063,s2524,s2493,s3035,s2818,s2590,s1843,s2695,s2087,s2293,s2731,s2516,s1834,s1781,s2239,s2232,s1901,s2477,s1734,s2584,s2935,s2060,s2600,s2564,s2554,s2562,s3048,s2712,s2057,s2544,s2641,s1010,s2824,s2096,s2534,s2221,s3049,s257,s71,s9,s1125,s1538,s3012,s212,s216,s2622,s2629,s3061,s3046,s109,s818,s188,s859,s132,s1309,s1337]) ).
cnf(s3065,plain,
( ~ spl0_18
| ~ spl0_245
| ~ spl0_5
| spl0_6
| ~ spl0_285 ),
inference(rat,[],[s736,s2025,s2669,s1728,s2636,s188]) ).
cnf(s3066,plain,
( ~ spl0_230
| ~ spl0_65
| spl0_18
| ~ spl0_76
| spl0_286
| ~ spl0_122
| spl0_70
| ~ spl0_3 ),
inference(rat,[],[s260,s47,s2855,s315,s104,s2519,s3036,s2712,s2544,s17]) ).
cnf(s3067,plain,
( spl0_288
| spl0_70
| ~ spl0_2 ),
inference(rat,[],[s2301,s596,s2616,s981,s2012,s1130,s1010,s3066,s75,s2057,s2533,s1106,s71,s2,s103,s2967,s212,s2060,s2554,s2824,s9,s3012,s1033,s3047,s3065,s2477,s2935,s2564,s2622,s2629,s216,s3061,s2562,s1390,s3064,s3046,s109,s907,s818,s1337,s132]) ).
cnf(s3068,plain,
( ~ spl0_11
| spl0_246
| ~ spl0_224
| ~ spl0_229
| spl0_41
| ~ spl0_245 ),
inference(rat,[],[s991,s1230,s45,s736]) ).
cnf(s3069,plain,
( spl0_70
| ~ spl0_2 ),
inference(rat,[],[s2604,s2706,s2672,s2710,s358,s1416,s1408,s2546,s2025,s3068,s39,s219,s927,s1381,s594,s2643,s2741,s1164,s1519,s2845,s596,s1462,s2616,s1511,s2012,s1639,s1010,s3037,s2818,s2590,s1843,s2695,s1617,s3067,s17,s2536,s3065,s2477,s1163,s2829,s2935,s246,s2193,s2824,s2060,s2564,s2967,s3047,s2554,s2562,s1390,s3064,s2622,s212,s2629,s216,s3061,s71,s9,s2,s3012,s1125,s3046,s685,s188,s109,s907,s1337,s132]) ).
cnf(s3070,plain,
( spl0_6
| ~ spl0_72
| ~ spl0_2 ),
inference(rat,[],[s1538,s2534,s216,s101,s2821,s2562,s9,s3012,s3069,s132]) ).
cnf(s3071,plain,
( spl0_122
| ~ spl0_2 ),
inference(rat,[],[s2712,s2488,s1010,s961,s2009,s45,s2524,s2536,s2507,s27,s1160,s1490,s284,s51,s256,s365,s391,s2859,s372,s392,s22,s2096,s2807,s53,s1485,s2057,s41,s3048,s1392,s1424,s3070,s2840,s257,s9,s3012,s344,s3069,s818,s132,s188,s109]) ).
cnf(s3072,plain,
~ spl0_2,
inference(rat,[],[s2967,s212,s101,s216,s2562,s2543,s1390,s3071,s344,s3069,s3046,s132]) ).
cnf(s3073,plain,
~ spl0_291,
inference(rat,[],[s1926,s3072]) ).
cnf(s3077,plain,
spl0_8,
inference(rat,[],[s5,s3072]) ).
cnf(s3078,plain,
spl0_1,
inference(rat,[],[s1,s3072]) ).
cnf(s3082,plain,
( spl0_4
| ~ spl0_256
| spl0_285
| spl0_35
| spl0_70 ),
inference(rat,[],[s2641,s1531,s2047,s1406,s3072]) ).
cnf(s3083,plain,
( spl0_288
| spl0_285
| ~ spl0_286
| spl0_82
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s1273,s592,s1655,s1370,s1600,s1001,s2293,s2600,s1527,s2992,s2835,s2636,s2695,s1480,s2984,s1174,s1106,s1476,s2616,s1546,s2051,s3082,s1171,s229,s2042,s109,s859,s907,s3072]) ).
cnf(s3084,plain,
( spl0_285
| ~ spl0_286
| spl0_82
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s1734,s2998,s2675,s2674,s2842,s1146,s3083,s2051,s3082,s1476,s1171,s229,s2042,s818,s109,s3072]) ).
cnf(s3085,plain,
( spl0_104
| ~ spl0_230
| ~ spl0_400
| spl0_258
| ~ spl0_239
| spl0_240
| ~ spl0_5
| spl0_254
| spl0_122
| spl0_70 ),
inference(rat,[],[s3043,s2153,s595,s594,s1375,s1508,s2307,s1343,s2505,s2584,s2488,s2600,s2712,s2630,s2835,s2042,s109,s1309,s859,s3072]) ).
cnf(s3086,plain,
( ~ spl0_5
| ~ spl0_334
| ~ spl0_285
| ~ spl0_286
| spl0_122
| spl0_70 ),
inference(rat,[],[s2746,s2831,s1868,s448,s1491,s2544,s3085,s1639,s1843,s2695,s2245,s1137,s1733,s2616,s2998,s2935,s1546,s2564,s2042,s1231,s1125,s596,s1223,s132,s109,s907,s3072]) ).
cnf(s3087,plain,
( ~ spl0_18
| ~ spl0_285
| ~ spl0_286
| spl0_6 ),
inference(rat,[],[s2080,s1533,s1001,s2706,s1527,s2669,s1590,s2636,s596,s1223,s2554,s859,s685,s109]) ).
cnf(s3088,plain,
( ~ spl0_286
| spl0_82
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s2695,s1840,s2747,s1639,s2080,s2215,s1515,s1533,s1001,s2706,s1527,s2669,s2833,s1010,s2561,s1071,s215,s238,s104,s315,s47,s254,s2856,s17,s3087,s33,s34,s2641,s1404,s2047,s2051,s3086,s596,s1223,s2554,s1125,s3084,s229,s2042,s859,s685,s3072,s109]) ).
cnf(s3089,plain,
( spl0_288
| spl0_294
| spl0_285
| ~ spl0_230
| spl0_286
| spl0_70 ),
inference(rat,[],[s2247,s596,s2695,s1551,s1174,s1106,s109]) ).
cnf(s3090,plain,
( spl0_285
| spl0_286
| spl0_82
| spl0_122
| spl0_70 ),
inference(rat,[],[s2036,s73,s1728,s2546,s2025,s2989,s448,s1481,s2544,s2999,s2675,s2674,s1146,s3089,s2051,s3082,s1476,s1171,s229,s2042,s1010,s2221,s257,s188,s132,s109,s3072]) ).
cnf(s3091,plain,
( ~ spl0_240
| ~ spl0_455
| ~ spl0_5
| spl0_82
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s2492,s448,s2695,s2193,s3009,s1164,s1138,s2845,s229,s1125,s2564,s3090,s2712,s2683,s2835,s3052,s2042,s1010,s2221,s257,s3088,s132,s685,s3072]) ).
cnf(s3092,plain,
( spl0_288
| ~ spl0_5
| spl0_82
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s1843,s3085,s2695,s2247,s1232,s596,s981,s2830,s3091,s3052,s2506,s1106,s1033,s1010,s2221,s257,s1125,s2935,s2564,s3090,s3088,s109,s3077,s818]) ).
cnf(s3094,plain,
( spl0_4
| ~ spl0_230
| spl0_286
| spl0_35
| spl0_70 ),
inference(rat,[],[s2641,s2047,s2683,s3072]) ).
cnf(s3095,plain,
( ~ spl0_5
| spl0_82
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s2672,s2694,s2528,s2529,s73,s1728,s2546,s27,s2025,s3011,s2675,s1146,s3092,s1125,s3090,s3094,s1010,s2221,s257,s3088,s229,s2042,s188,s818,s3072]) ).
cnf(s3096,plain,
( spl0_82
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s2051,s3095,s3094,s1010,s2221,s3088,s257,s229,s2042,s3072]) ).
cnf(s3097,plain,
( spl0_288
| spl0_285
| ~ spl0_5
| ~ spl0_286
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s1273,s592,s1655,s1001,s1370,s1600,s1527,s2293,s2636,s2600,s2992,s3029,s2835,s2695,s1480,s1174,s1106,s2042,s2616,s1546,s1476,s1171,s109,s859,s907,s3072]) ).
cnf(s3098,plain,
( spl0_285
| ~ spl0_5
| ~ spl0_286
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s1734,s2998,s2675,s2674,s1146,s2842,s3097,s3082,s1476,s1171,s229,s2042,s818,s109,s3072]) ).
cnf(s3099,plain,
( ~ spl0_5
| ~ spl0_286
| spl0_70
| spl0_6
| spl0_122 ),
inference(rat,[],[s3086,s2554,s3098]) ).
cnf(s3100,plain,
( spl0_285
| spl0_4
| spl0_122
| spl0_70 ),
inference(rat,[],[s3082,s1171,s229,s2042,s109,s3072]) ).
cnf(s3101,plain,
( ~ spl0_286
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s2845,s1519,s1640,s2741,s1147,s1734,s594,s2245,s927,s2695,s238,s1840,s315,s1639,s47,s1511,s254,s596,s2622,s2856,s17,s1223,s2629,s3087,s2554,s1125,s3100,s33,s2641,s1404,s2047,s2051,s3099,s1010,s1074,s229,s2042,s3096,s818,s109,s1337,s3072]) ).
cnf(s3102,plain,
( spl0_285
| spl0_286
| spl0_122
| spl0_70 ),
inference(rat,[],[s2977,s73,s1728,s2546,s27,s2025,s2979,s448,s2544,s2999,s2675,s2674,s1146,s3089,s1476,s1171,s2051,s3094,s1010,s2221,s257,s229,s2042,s188,s132,s109,s3072]) ).
cnf(s3103,plain,
( ~ spl0_18
| ~ spl0_400
| spl0_349
| spl0_246
| ~ spl0_267
| spl0_288
| spl0_256
| ~ spl0_285
| ~ spl0_5
| spl0_286
| spl0_6 ),
inference(rat,[],[s2830,s981,s1468,s596,s2153,s2154,s3043,s595,s594,s2283,s1094,s1249,s3065,s3003,s1033,s1125,s2935,s2564,s3077,s109]) ).
cnf(s3104,plain,
( spl0_258
| spl0_288
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s596,s1232,s981,s3085,s2830,s2845,s1138,s2524,s2493,s3103,s1843,s2695,s1033,s1125,s2629,s3096,s2935,s2307,s2505,s2488,s2712,s2600,s2835,s3052,s2506,s1106,s2564,s3102,s2051,s3094,s1010,s2221,s257,s3101,s229,s2042,s109,s3077,s818,s188,s859,s3072]) ).
cnf(s3105,plain,
( spl0_288
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s3010,s2245,s3104,s2712,s3052,s2506,s1106,s2564,s3102,s2051,s3094,s1010,s2221,s257,s3101,s229,s2042,s818,s3072]) ).
cnf(s3106,plain,
( ~ spl0_258
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s2746,s1868,s2831,s1491,s1648,s2712,s448,s596,s3010,s3005,s2247,s2564,s2051,s2675,s1146,s3105,s3094,s1010,s2221,s257,s229,s2042,s1125,s3102,s3101,s132,s188,s109,s3072]) ).
cnf(s3107,plain,
( spl0_237
| ~ spl0_348
| spl0_246
| ~ spl0_267
| ~ spl0_400
| ~ spl0_239
| spl0_256
| ~ spl0_4
| spl0_286
| ~ spl0_82
| spl0_35 ),
inference(rat,[],[s1360,s1367,s1380,s2286,s595,s3043,s2153,s594,s1094,s735,s448,s2193,s1164,s1037,s1138,s2845,s1462,s2616,s2051,s109,s132,s685,s907]) ).
cnf(s3108,plain,
( spl0_104
| spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s1536,s1030,s596,s1904,s592,s1273,s3107,s2308,s2484,s2731,s1834,s2239,s1901,s2584,s2488,s2600,s2712,s2835,s1033,s2629,s3096,s2935,s2564,s2051,s1734,s2675,s1146,s3105,s3094,s1010,s2221,s257,s229,s2042,s1843,s2695,s3106,s1125,s3102,s3101,s109,s132,s1309,s859,s818,s3072]) ).
cnf(s3109,plain,
( spl0_6
| spl0_122
| spl0_70 ),
inference(rat,[],[s2036,s73,s1728,s2546,s2025,s2979,s448,s1481,s2544,s3108,s2675,s1146,s3105,s1125,s3102,s2051,s3094,s1010,s2221,s3101,s257,s229,s2042,s188,s132,s3072]) ).
cnf(s3111,plain,
( ~ spl0_51
| ~ spl0_228
| spl0_82
| ~ spl0_27
| ~ spl0_76
| ~ spl0_310
| spl0_20
| spl0_288
| spl0_35 ),
inference(rat,[],[s986,s54,s2546,s2943,s198,s75,s41]) ).
cnf(s3112,plain,
( ~ spl0_52
| spl0_28
| ~ spl0_76
| spl0_20
| spl0_122 ),
inference(rat,[],[s51,s284,s252,s391,s365,s372,s392,s2840,s41,s132,s188,s109]) ).
cnf(s3113,plain,
( spl0_82
| ~ spl0_51
| spl0_294
| ~ spl0_76
| ~ spl0_6
| spl0_35 ),
inference(rat,[],[s1440,s22,s1432,s1453,s1143,s2154,s54,s596,s2943,s3111,s1445,s1037,s1424,s41,s24,s9,s20,s75,s2546,s198,s1392,s109]) ).
cnf(s3114,plain,
( spl0_122
| spl0_70 ),
inference(rat,[],[s2991,s2672,s2673,s215,s2560,s51,s260,s198,s75,s53,s3112,s2544,s34,s2047,s9,s41,s1394,s20,s1391,s1392,s3109,s229,s2042,s257,s3072]) ).
cnf(s3115,plain,
( ~ spl0_104
| spl0_285
| ~ spl0_4
| spl0_35
| ~ spl0_286
| spl0_70 ),
inference(rat,[],[s1223,s596,s2842,s2746,s1489,s2831,s594,s2674,s2780,s1146,s2817,s1174,s1868,s1480,s1491,s1648,s1546,s2051,s448,s2641,s321,s3114,s109,s132,s188]) ).
cnf(s3116,plain,
( spl0_104
| spl0_76
| spl0_85
| ~ spl0_5
| ~ spl0_286
| ~ spl0_122 ),
inference(rat,[],[s2965,s212,s2543,s2835,s132]) ).
cnf(s3117,plain,
( ~ spl0_4
| spl0_35
| ~ spl0_286
| spl0_70 ),
inference(rat,[],[s2746,s596,s2831,s1223,s2564,s2554,s1868,s3115,s1491,s1648,s3116,s448,s2641,s321,s2051,s1390,s3114,s109,s132,s188]) ).
cnf(s3118,plain,
( spl0_285
| spl0_35
| ~ spl0_286
| spl0_70 ),
inference(rat,[],[s596,s1223,s1511,s2842,s1639,s1174,s1843,s2226,s2674,s1492,s3082,s1406,s1010,s1074,s2543,s2544,s2047,s3117,s3114,s109,s3072]) ).
cnf(s3119,plain,
( spl0_35
| ~ spl0_286
| spl0_70 ),
inference(rat,[],[s47,s315,s945,s238,s2726,s927,s451,s594,s2819,s2783,s2744,s2495,s1868,s1001,s1519,s1518,s2576,s2845,s1640,s1734,s2675,s1617,s2226,s2695,s1840,s1639,s1511,s2546,s596,s2622,s2856,s17,s1223,s2629,s3087,s2554,s1125,s3118,s2009,s1010,s1074,s2543,s33,s2544,s1404,s2047,s3117,s1390,s3114,s109,s132,s859,s818,s1337,s3072]) ).
cnf(s3120,plain,
( spl0_285
| ~ spl0_35
| ~ spl0_286 ),
inference(rat,[],[s2482,s1473,s1492,s2709,s2814,s452,s454,s448,s1648,s2759,s2765,s2712,s1074,s1010,s2009,s2495,s2713,s1717,s1495,s2514,s208,s2037,s368,s2030,s1108,s1231,s31,s231,s2784,s212,s229,s3078,s109,s132,s188,s818,s3077]) ).
cnf(s3121,plain,
( ~ spl0_104
| ~ spl0_20
| ~ spl0_15
| spl0_294
| ~ spl0_30
| ~ spl0_78 ),
inference(rat,[],[s1416,s2709,s2850,s2814,s2603,s452,s454,s1481,s1648,s2544,s109,s188]) ).
cnf(s3122,plain,
( ~ spl0_286
| spl0_70 ),
inference(rat,[],[s2604,s2851,s2706,s2669,s2672,s2833,s1490,s2507,s2009,s2622,s1010,s1858,s2629,s1074,s2673,s2543,s3121,s358,s2561,s17,s3087,s1125,s3120,s2808,s212,s31,s229,s231,s3119,s103,s1390,s3114,s685,s1337,s109,s3072,s132]) ).
cnf(s3123,plain,
( spl0_82
| ~ spl0_4
| spl0_285
| spl0_35
| spl0_70 ),
inference(rat,[],[s2977,s73,s1728,s2546,s27,s2025,s2989,s2675,s2624,s1489,s2482,s594,s2674,s2780,s1146,s2849,s1174,s1868,s1480,s1491,s1648,s2543,s103,s3122,s1108,s2051,s448,s2641,s321,s3114,s188,s3078,s109,s132]) ).
cnf(s3124,plain,
( ~ spl0_288
| spl0_104
| ~ spl0_4
| ~ spl0_236
| spl0_35
| ~ spl0_122 ),
inference(rat,[],[s2482,s2622,s2674,s2630,s1146,s1617,s448,s2641,s321,s3078,s1337,s132]) ).
cnf(s3125,plain,
( ~ spl0_294
| ~ spl0_145
| ~ spl0_236 ),
inference(rat,[],[s2482,s1473,s1492,s3078]) ).
cnf(s3126,plain,
( ~ spl0_230
| spl0_285
| spl0_35
| spl0_70 ),
inference(rat,[],[s2977,s73,s1728,s2546,s27,s2025,s2624,s2979,s2482,s2675,s2674,s3124,s1146,s3089,s3125,s448,s2641,s321,s2051,s3094,s3114,s3122,s1108,s188,s3078,s132]) ).
cnf(s3127,plain,
( spl0_104
| ~ spl0_4
| spl0_285
| spl0_35
| spl0_70 ),
inference(rat,[],[s2584,s1819,s1593,s595,s2094,s2289,s1834,s1653,s2731,s1868,s1904,s2713,s592,s2490,s2624,s2270,s594,s2482,s1360,s1260,s3001,s2675,s2674,s1263,s1138,s2010,s2154,s1233,s2845,s596,s2695,s1462,s1315,s981,s1174,s1106,s2012,s212,s3124,s2835,s1130,s103,s2271,s1010,s1033,s3122,s2051,s3123,s2826,s3126,s3125,s448,s2641,s321,s3114,s1108,s1309,s132,s109,s188,s3078,s969]) ).
cnf(s3128,plain,
( ~ spl0_4
| spl0_285
| spl0_35
| spl0_70 ),
inference(rat,[],[s2977,s73,s1728,s2546,s27,s2025,s2624,s2979,s2482,s2675,s2674,s1146,s1174,s1480,s3127,s3125,s448,s2641,s321,s2051,s3114,s1108,s188,s3078,s109,s132]) ).
cnf(s3129,plain,
( spl0_285
| spl0_35
| spl0_70 ),
inference(rat,[],[s1516,s1639,s596,s1843,s1574,s2226,s2674,s1406,s2047,s3128,s3126,s1033,s3122,s109,s3072]) ).
cnf(s3130,plain,
( spl0_104
| spl0_76
| spl0_85
| ~ spl0_5
| ~ spl0_285
| ~ spl0_122 ),
inference(rat,[],[s2967,s212,s2543,s2835,s132]) ).
cnf(s3131,plain,
( ~ spl0_4
| spl0_35
| spl0_70 ),
inference(rat,[],[s2036,s73,s1728,s2546,s2025,s2979,s2675,s1146,s1106,s2506,s3052,s1481,s3130,s448,s2641,s2564,s321,s2051,s3114,s1125,s3129,s188,s818,s132]) ).
cnf(s3132,plain,
( ~ spl0_20
| spl0_28
| spl0_104
| ~ spl0_285
| ~ spl0_122 ),
inference(rat,[],[s2604,s2851,s2706,s1858,s2669,s2672,s2673,s2833,s358,s2622,s2629,s2543,s685,s109,s1337]) ).
cnf(s3133,plain,
( spl0_288
| spl0_35
| spl0_70 ),
inference(rat,[],[s1143,s2669,s262,s2636,s1145,s2529,s51,s1577,s260,s2546,s198,s75,s2057,s2533,s2675,s1412,s1574,s2154,s596,s981,s1106,s1390,s1033,s1125,s9,s1130,s3094,s3122,s103,s41,s3132,s34,s1404,s2544,s2047,s3131,s3129,s3114,s818,s3072,s109]) ).
cnf(s3136,plain,
( spl0_17
| ~ spl0_83
| spl0_250
| ~ spl0_239
| spl0_20
| ~ spl0_232
| ~ spl0_10 ),
inference(rat,[],[s215,s372,s2815,s53,s736,s198,s2025,s188]) ).
cnf(s3137,plain,
( ~ spl0_18
| spl0_35
| spl0_70 ),
inference(rat,[],[s595,s2770,s1821,s2876,s1409,s1099,s2546,s3136,s2672,s2604,s2851,s2706,s2669,s2820,s1858,s1590,s2636,s3003,s2848,s2554,s1390,s9,s33,s2622,s41,s3132,s34,s1404,s2154,s2935,s2674,s1574,s596,s1511,s1639,s1843,s2695,s1617,s3133,s1125,s1010,s3094,s2629,s2543,s2544,s2047,s3114,s3129,s3131,s3122,s109,s132,s3072,s685,s1337]) ).
cnf(s3138,plain,
( spl0_35
| spl0_70 ),
inference(rat,[],[s1577,s2546,s2529,s2856,s3137,s3132,s34,s2544,s1404,s2047,s3131,s3129,s3114,s3122,s3072,s818]) ).
cnf(s3139,plain,
( ~ spl0_306
| spl0_267
| spl0_70 ),
inference(rat,[],[s1468,s2713,s1315,s2495,s2271,s2009,s1033,s3122,s2784,s212,s229,s3138,s132]) ).
cnf(s3140,plain,
( spl0_285
| spl0_70 ),
inference(rat,[],[s2709,s2814,s3125,s452,s454,s448,s1481,s1648,s2544,s2712,s1010,s3139,s1717,s2514,s208,s2037,s368,s2030,s1108,s31,s231,s3138,s109,s132,s188,s818,s3077]) ).
cnf(s3141,plain,
( ~ spl0_28
| spl0_117 ),
inference(rat,[],[s243,s35,s27]) ).
cnf(s3142,plain,
( spl0_20
| ~ spl0_82
| ~ spl0_35 ),
inference(rat,[],[s2848,s593,s2561,s41,s2494,s31,s231,s229,s109,s3072]) ).
cnf(s3143,plain,
( spl0_104
| spl0_70 ),
inference(rat,[],[s2712,s2519,s1010,s36,s2009,s1444,s17,s2507,s1158,s1160,s1490,s3132,s3142,s2543,s3114,s2808,s212,s229,s31,s231,s3138,s3140,s3077,s132]) ).
cnf(s3144,plain,
spl0_70,
inference(rat,[],[s2627,s2902,s1718,s2819,s2818,s208,s452,s1868,s2590,s368,s454,s1481,s1491,s1648,s2031,s2544,s3143,s212,s31,s229,s231,s2687,s2702,s3138,s3122,s907,s109,s132,s3077,s188]) ).
cnf(s3145,plain,
~ spl0_104,
inference(rat,[],[s344,s3144]) ).
cnf(s3146,plain,
( ~ spl0_18
| ~ spl0_335
| spl0_43
| spl0_76
| spl0_6 ),
inference(rat,[],[s2819,s454,s452,s31,s2103,s2637,s1566,s2636,s1160,s1868,s1226,s109,s3144,s132]) ).
cnf(s3147,plain,
( ~ spl0_238
| ~ spl0_235
| spl0_18
| ~ spl0_85
| spl0_241
| spl0_254
| ~ spl0_4
| spl0_242
| spl0_285
| spl0_35 ),
inference(rat,[],[s594,s2153,s2741,s2500,s2622,s1146,s1531,s2674,s109,s132,s1337]) ).
cnf(s3148,plain,
( ~ spl0_286
| ~ spl0_20
| ~ spl0_4
| spl0_122
| spl0_285
| spl0_35 ),
inference(rat,[],[s2998,s1734,s2842,s2245,s1233,s2630,s2624,s2482,s3147,s1234,s2215,s2819,s1001,s452,s1527,s2103,s2085,s454,s2833,s31,s1165,s215,s206,s256,s47,s17,s3146,s2835,s1868,s1010,s211,s1226,s1074,s2965,s1546,s2557,s1231,s2084,s257,s2821,s20,s3125,s448,s101,s2051,s1108,s1444,s2546,s73,s818,s3145,s188,s3078,s132,s859,s109,s3144,s3077]) ).
cnf(s3149,plain,
( ~ spl0_238
| ~ spl0_448
| ~ spl0_267
| spl0_339
| ~ spl0_85
| spl0_286
| ~ spl0_4
| spl0_285
| spl0_35 ),
inference(rat,[],[s595,s1375,s3043,s1572,s2154,s1843,s596,s2695,s1551,s2307,s2584,s1233,s1106,s1853,s1146,s1531,s2674,s2821,s20,s3125,s448,s101,s2051,s1108,s109,s1309,s969,s132,s3144]) ).
cnf(s3150,plain,
( ~ spl0_230
| ~ spl0_69
| spl0_286
| ~ spl0_4
| spl0_285
| spl0_35 ),
inference(rat,[],[s594,s2490,s1569,s2624,s1343,s2482,s2935,s3149,s2505,s2488,s2712,s1596,s1108,s448,s101,s2051,s2835,s109,s188,s3078,s3145,s1337,s132,s3144]) ).
cnf(s3151,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_4
| spl0_122
| spl0_285
| spl0_35 ),
inference(rat,[],[s2842,s2499,s1738,s2816,s1840,s1868,s2825,s2713,s2245,s2490,s2630,s2624,s2482,s2153,s1846,s594,s1164,s3001,s1138,s1468,s2845,s2830,s2218,s1010,s3150,s2494,s545,s1155,s31,s2103,s2637,s2636,s1160,s257,s20,s3125,s448,s101,s2051,s1108,s2025,s2546,s73,s1033,s3148,s3072,s3144,s132,s3145,s188,s3078,s1337,s109,s3077]) ).
cnf(s3152,plain,
( ~ spl0_20
| ~ spl0_4
| spl0_122
| spl0_285
| spl0_35 ),
inference(rat,[],[s1843,s2825,s1738,s2675,s2842,s1146,s2500,s2153,s594,s2524,s3001,s1138,s1468,s2845,s2830,s2218,s1010,s3150,s2494,s545,s1155,s31,s2103,s2637,s2833,s1165,s206,s256,s47,s17,s3151,s1033,s3148,s1444,s2025,s2546,s73,s257,s3125,s448,s101,s2051,s1108,s109,s3144,s132,s818,s3077,s3072,s188]) ).
cnf(s3153,plain,
( ~ spl0_18
| spl0_20
| spl0_6
| ~ spl0_72 ),
inference(rat,[],[s2103,s2991,s2636,s2848,s2821,s3144]) ).
cnf(s3154,plain,
( spl0_83
| ~ spl0_15
| spl0_20
| spl0_122 ),
inference(rat,[],[s1158,s2672,s1444,s2991,s47,s2673,s256,s257,s3077,s3145,s3144]) ).
cnf(s3155,plain,
( ~ spl0_4
| spl0_122
| spl0_285
| spl0_35 ),
inference(rat,[],[s3141,s423,s384,s766,s1459,s368,s215,s364,s3154,s2561,s17,s3153,s3152,s20,s2051,s2275,s257,s3072,s3077,s685,s818]) ).
cnf(s3156,plain,
( ~ spl0_286
| spl0_81
| ~ spl0_82
| ~ spl0_22 ),
inference(rat,[],[s2215,s1001,s1534,s1010,s1527,s1074,s452,s2103,s859,s109,s3144]) ).
cnf(s3157,plain,
( ~ spl0_18
| ~ spl0_20
| ~ spl0_249
| ~ spl0_34
| spl0_4
| spl0_285 ),
inference(rat,[],[s1475,s2643,s999,s1566,s2080,s1344,s1533,s2706,s2710,s2709,s1416,s1106,s1551,s1162,s3001,s596,s594,s1574,s922,s3156,s2848,s1108,s1492,s1406,s2833,s34,s1404,s2821,s1392,s685,s109,s3072,s3144]) ).
cnf(s3158,plain,
( spl0_85
| spl0_4
| ~ spl0_72
| spl0_35 ),
inference(rat,[],[s1538,s2534,s2835,s2641,s9,s132,s3145]) ).
cnf(s3159,plain,
( ~ spl0_20
| spl0_122
| spl0_285
| spl0_35 ),
inference(rat,[],[s1432,s2706,s2546,s2604,s2856,s2103,s3157,s2833,s2084,s34,s33,s1404,s2674,s2622,s1531,s3158,s257,s1406,s3155,s685,s3072,s3144,s1337]) ).
cnf(s3160,plain,
( spl0_75
| spl0_20
| ~ spl0_238
| spl0_4
| spl0_242
| ~ spl0_72
| spl0_35 ),
inference(rat,[],[s53,s198,s372,s2546,s215,s1432,s1538,s2706,s2673,s1154,s2604,s2991,s9,s2622,s1531,s3158,s41,s188,s685,s3145,s109,s1337]) ).
cnf(s3161,plain,
( spl0_69
| ~ spl0_286
| ~ spl0_6
| spl0_294
| spl0_4
| ~ spl0_72
| spl0_35 ),
inference(rat,[],[s1010,s1074,s2009,s3113,s3030,s2057,s2534,s2096,s1538,s9,s1231,s132]) ).
cnf(s3162,plain,
( spl0_14
| spl0_125
| spl0_20
| ~ spl0_34
| ~ spl0_10 ),
inference(rat,[],[s264,s198,s51,s53,s2560,s372,s41,s188]) ).
cnf(s3163,plain,
( ~ spl0_6
| spl0_122
| spl0_285
| spl0_35 ),
inference(rat,[],[s594,s3001,s922,s3161,s215,s3162,s938,s1424,s1445,s1108,s9,s33,s1492,s2672,s3160,s3159,s1406,s2084,s257,s34,s1404,s3155,s109,s3072]) ).
cnf(s3164,plain,
( spl0_122
| spl0_285
| spl0_35 ),
inference(rat,[],[s1432,s2546,s2531,s2856,s3153,s3163,s3159,s1406,s3155,s257,s132,s3072]) ).
cnf(s3165,plain,
( ~ spl0_241
| ~ spl0_4
| spl0_285
| spl0_35 ),
inference(rat,[],[s1843,s3043,s2695,s595,s2247,s1375,s1010,s2307,s2584,s1572,s2010,s1853,s2674,s2482,s2622,s1905,s2502,s2643,s1226,s2713,s2543,s1033,s1232,s2505,s2499,s2154,s596,s1551,s3116,s321,s1106,s3125,s448,s101,s2051,s3124,s1108,s3164,s109,s1309,s3078,s969,s1337,s3144,s3145,s3072,s132]) ).
cnf(s3166,plain,
( ~ spl0_20
| ~ spl0_105
| spl0_28
| ~ spl0_4
| ~ spl0_122
| spl0_35 ),
inference(rat,[],[s2025,s545,s2546,s2672,s73,s358,s188]) ).
cnf(s3167,plain,
( ~ spl0_18
| ~ spl0_105
| ~ spl0_5
| spl0_6 ),
inference(rat,[],[s545,s2025,s2103,s1728,s2636,s188,s3144]) ).
cnf(s3168,plain,
( ~ spl0_4
| spl0_285
| spl0_35 ),
inference(rat,[],[s937,s423,s3167,s3166,s2816,s1868,s3165,s2499,s2154,s596,s1551,s3125,s3116,s448,s2518,s1106,s101,s3124,s321,s2051,s1108,s1390,s3164,s685,s3073,s132,s3072,s109,s3145,s3144]) ).
cnf(s3169,plain,
( ~ spl0_20
| spl0_285
| spl0_35 ),
inference(rat,[],[s2080,s1533,s1001,s2706,s596,s1577,s1432,s1574,s1091,s2546,s3156,s2856,s2673,s3157,s2833,s358,s2543,s3164,s34,s33,s1404,s2674,s1406,s3168,s859,s685,s109,s3072,s3145]) ).
cnf(s3170,plain,
( ~ spl0_18
| spl0_285
| spl0_35 ),
inference(rat,[],[s2953,s2637,s454,s1432,s2641,s2706,s2683,s2853,s1639,s2814,s2622,s1843,s1590,s2630,s2695,s2842,s1617,s1106,s1516,s1551,s596,s1574,s1033,s452,s3156,s2103,s2848,s2636,s1390,s2543,s3164,s34,s1404,s1492,s2674,s1406,s3168,s1029,s41,s3169,s685,s3072,s1337,s109,s3145,s3144]) ).
cnf(s3171,plain,
( spl0_285
| spl0_35 ),
inference(rat,[],[s1432,s2546,s2531,s2856,s3170,s3169,s1406,s3168,s3072,s132]) ).
cnf(s3172,plain,
( ~ spl0_18
| ~ spl0_242
| spl0_6
| ~ spl0_285 ),
inference(rat,[],[s2851,s1858,s2669,s2848,s2636,s2821,s109,s3144]) ).
cnf(s3173,plain,
( ~ spl0_286
| spl0_256
| ~ spl0_334
| ~ spl0_82 ),
inference(rat,[],[s1511,s596,s1639,s1010,s1223,s1074,s1843,s1738,s109,s3144]) ).
cnf(s3174,plain,
( ~ spl0_230
| spl0_288
| ~ spl0_81
| spl0_105
| ~ spl0_83
| spl0_286
| spl0_18
| ~ spl0_69
| ~ spl0_145 ),
inference(rat,[],[s2643,s1232,s1226,s596,s1865,s981,s2524,s2816,s1565,s1626,s2488,s2694,s2712,s17,s1033,s3144,s109,s818,s3145]) ).
cnf(s3175,plain,
( ~ spl0_20
| ~ spl0_4
| spl0_35 ),
inference(rat,[],[s596,s1511,s2010,s1639,s1010,s3174,s1146,s2675,s2825,s1856,s545,s2851,s2103,s2669,s2833,s256,s1170,s47,s348,s1444,s2025,s2546,s73,s1125,s448,s1843,s1738,s321,s2835,s211,s2967,s17,s3172,s2605,s2622,s2935,s2564,s101,s2051,s1033,s3173,s2629,s2554,s3171,s2821,s20,s109,s3078,s3144,s3077,s188,s1337,s3145,s132]) ).
cnf(s3176,plain,
( ~ spl0_4
| spl0_35 ),
inference(rat,[],[s215,s3154,s2561,s3175,s17,s3172,s321,s2835,s2605,s211,s2622,s2967,s2629,s2935,s2821,s2564,s101,s20,s2051,s3171,s3072,s3145,s1337,s3144]) ).
cnf(s3177,plain,
( ~ spl0_20
| ~ spl0_18
| spl0_35 ),
inference(rat,[],[s2604,s2622,s2706,s2629,s2103,s2669,s3172,s2821,s2833,s1392,s3171,s34,s1404,s3176,s1337,s685,s3144,s3072]) ).
cnf(s3178,plain,
( spl0_14
| spl0_82
| ~ spl0_6
| spl0_20
| spl0_35 ),
inference(rat,[],[s1442,s3113,s23,s53,s208,s372,s1125,s3171,s9,s3176,s188]) ).
cnf(s3179,plain,
( spl0_83
| spl0_20
| ~ spl0_72
| spl0_28 ),
inference(rat,[],[s2991,s2672,s2673,s3145]) ).
cnf(s3180,plain,
( spl0_14
| ~ spl0_18
| spl0_122
| spl0_35 ),
inference(rat,[],[s259,s51,s3178,s2560,s9,s3176,s41,s3153,s3177,s257]) ).
cnf(s3181,plain,
( ~ spl0_18
| spl0_122
| spl0_35 ),
inference(rat,[],[s2009,s2507,s1010,s1099,s2683,s198,s3161,s53,s215,s365,s3180,s3179,s2807,s3153,s41,s3177,s1125,s3171,s9,s34,s33,s1404,s3158,s257,s3176,s3072,s132]) ).
cnf(s3182,plain,
( ~ spl0_20
| spl0_122
| spl0_35 ),
inference(rat,[],[s1507,s1344,s594,s1099,s2683,s2622,s2706,s927,s3173,s2629,s2669,s238,s2554,s2821,s2833,s1392,s3171,s34,s33,s1404,s315,s47,s254,s2856,s3158,s257,s3176,s17,s3181,s109,s3072,s1337,s685,s3144]) ).
cnf(s3183,plain,
( spl0_122
| spl0_35 ),
inference(rat,[],[s3173,s2629,s2554,s2821,s3161,s2276,s766,s368,s215,s364,s423,s2561,s3179,s3182,s3181,s257,s1125,s3171,s34,s1404,s3176,s3144,s907,s859,s3072,s3077]) ).
cnf(s3184,plain,
( ~ spl0_18
| spl0_35 ),
inference(rat,[],[s2706,s2604,s2103,s2669,s3172,s2636,s1390,s2622,s2629,s2543,s3183,s3171,s685,s3144,s1337,s3145]) ).
cnf(s3185,plain,
spl0_35,
inference(rat,[],[s1577,s2546,s2529,s2856,s3184,s3173,s2629,s2554,s3132,s2543,s1390,s3183,s34,s1404,s3176,s3171,s3072,s818,s3145]) ).
cnf(s3187,plain,
~ spl0_284,
inference(rat,[],[s2687,s3185]) ).
cnf(s3190,plain,
~ spl0_14,
inference(rat,[],[s231,s3185]) ).
cnf(s3192,plain,
~ spl0_69,
inference(rat,[],[s229,s3185]) ).
cnf(s3195,plain,
spl0_30,
inference(rat,[],[s31,s3190]) ).
cnf(s3198,plain,
spl0_113,
inference(rat,[],[s212,s132,s3192]) ).
cnf(s3201,plain,
~ spl0_223,
inference(rat,[],[s2494,s3192,s3072,s3195]) ).
cnf(s3202,plain,
~ spl0_490,
inference(rat,[],[s2784,s3185,s3198]) ).
cnf(s3204,plain,
~ spl0_499,
inference(rat,[],[s2805,s3185,s3077,s3198]) ).
cnf(s3205,plain,
~ spl0_500,
inference(rat,[],[s2808,s3195,s3185,s3198]) ).
cnf(s3206,plain,
( spl0_267
| ~ spl0_20 ),
inference(rat,[],[s2220,s2103,s1315,s1001,s2833,s1468,s1475,s1490,s2713,s2507,s2495,s2009,s1010,s2712,s3144,s3198,s859,s3205,s3202,s3145]) ).
cnf(s3207,plain,
spl0_6,
inference(rat,[],[s2673,s358,s542,s1153,s2818,s2590,s1843,s1738,s2554,s2030,s368,s2037,s2514,s3206,s3142,s2821,s3145,s3195,s3077,s3187,s3198,s109,s3144,s3185]) ).
cnf(s3208,plain,
~ spl0_288,
inference(rat,[],[s1445,s3207]) ).
cnf(s3210,plain,
~ spl0_287,
inference(rat,[],[s1424,s3207]) ).
cnf(s3211,plain,
~ spl0_20,
inference(rat,[],[s1392,s3207]) ).
cnf(s3213,plain,
~ spl0_122,
inference(rat,[],[s1390,s3207]) ).
cnf(s3214,plain,
~ spl0_4,
inference(rat,[],[s20,s3207]) ).
cnf(s3215,plain,
spl0_9,
inference(rat,[],[s1394,s3072,s3207]) ).
cnf(s3220,plain,
spl0_285,
inference(rat,[],[s1730,s3185,s818,s3208]) ).
cnf(s3223,plain,
~ spl0_432,
inference(rat,[],[s2503,s3204,s3210]) ).
cnf(s3226,plain,
spl0_32,
inference(rat,[],[s41,s3211]) ).
cnf(s3234,plain,
spl0_72,
inference(rat,[],[s257,s3213]) ).
cnf(s3237,plain,
~ spl0_190,
inference(rat,[],[s1153,s3077,s3213]) ).
cnf(s3239,plain,
spl0_10,
inference(rat,[],[s9,s3214]) ).
cnf(s3242,plain,
~ spl0_28,
inference(rat,[],[s34,s3215]) ).
cnf(s3245,plain,
~ spl0_294,
inference(rat,[],[s1125,s3220]) ).
cnf(s3246,plain,
~ spl0_306,
inference(rat,[],[s2009,s3223]) ).
cnf(s3248,plain,
spl0_81,
inference(rat,[],[s593,s3201,s109,s3226]) ).
cnf(s3255,plain,
spl0_83,
inference(rat,[],[s3179,s3242,s3211,s3234]) ).
cnf(s3256,plain,
spl0_75,
inference(rat,[],[s1155,s3201,s109,s3234]) ).
cnf(s3257,plain,
~ spl0_427,
inference(rat,[],[s2810,s3198,s3185,s3237]) ).
cnf(s3261,plain,
~ spl0_49,
inference(rat,[],[s2560,s3190,s3239]) ).
cnf(s3270,plain,
spl0_230,
inference(rat,[],[s1010,s3246]) ).
cnf(s3275,plain,
~ spl0_400,
inference(rat,[],[s2590,s3257]) ).
cnf(s3277,plain,
spl0_48,
inference(rat,[],[s51,s3226,s3261]) ).
cnf(s3289,plain,
~ spl0_247,
inference(rat,[],[s2694,s3255,s3270]) ).
cnf(s3291,plain,
spl0_307,
inference(rat,[],[s1840,s3275]) ).
cnf(s3298,plain,
spl0_304,
inference(rat,[],[s1001,s859,s3289]) ).
cnf(s3304,plain,
spl0_258,
inference(rat,[],[s2695,s3245,s3291]) ).
cnf(s3314,plain,
~ spl0_255,
inference(rat,[],[s2726,s3256,s3291]) ).
cnf(s3319,plain,
~ spl0_302,
inference(rat,[],[s2747,s3248,s3304]) ).
cnf(s3320,plain,
~ spl0_229,
inference(rat,[],[s2247,s3270,s3304]) ).
cnf(s3323,plain,
~ spl0_250,
inference(rat,[],[s976,s3277,s3208,s3314]) ).
cnf(s3326,plain,
spl0_228,
inference(rat,[],[s596,s109,s3320]) ).
cnf(s3332,plain,
spl0_234,
inference(rat,[],[s2706,s685,s3323]) ).
cnf(s3340,plain,
~ spl0_303,
inference(rat,[],[s1533,s3332,s3326]) ).
cnf(s3341,plain,
$false,
inference(rat,[],[s2080,s3298,s3319,s3326,s3340]) ).
thf(f29401,plain,
$false,
inference(avatar_sat_refutation,[],[s3341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA139^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n009.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 19:03:30 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 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
% 0.67/0.38 % (217792)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.67/0.38 % (217798)lrs+10_16_si=on:nwc=1.5:random_seed=1201685812:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.67/0.38 % (217798)Instruction limit reached!
% 0.67/0.38 % (217798)------------------------------
% 0.67/0.38 % (217798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.38 % (217798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.38 % (217798)CaDiCaL version: 2.1.3
% 0.67/0.38 % (217798)Termination reason: Instruction limit
% 0.67/0.38 % (217798)Termination phase: Saturation
% 0.67/0.38 % (217798)Time elapsed: 0.006 s
% 0.67/0.38 % (217798)Peak memory usage: 12 MB
% 0.67/0.38 % (217798)Instructions burned: 22 (million)
% 0.67/0.38 % (217797)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2723992918:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.67/0.38 % (217799)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=236728034:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.67/0.38 % (217800)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=117516576: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)
% 0.67/0.38 % (217799)Instruction limit reached!
% 0.67/0.38 % (217799)------------------------------
% 0.67/0.38 % (217799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.38 % (217799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.38 % (217799)CaDiCaL version: 2.1.3
% 0.67/0.38 % (217799)Termination reason: Instruction limit
% 0.67/0.38 % (217799)Termination phase: Saturation
% 0.67/0.38 % (217799)Time elapsed: 0.002 s
% 0.67/0.38 % (217799)Peak memory usage: 11 MB
% 0.67/0.38 % (217799)Instructions burned: 3 (million)
% 0.67/0.38 % (217805)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=442378196:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.67/0.38 % (217803)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.67/0.38 % (217803)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
% 0.67/0.38 % (217805)Instruction limit reached!
% 0.67/0.38 % (217805)------------------------------
% 0.67/0.38 % (217805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.38 % (217805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.38 % (217805)CaDiCaL version: 2.1.3
% 0.67/0.38 % (217805)Termination reason: Instruction limit
% 0.67/0.38 % (217805)Termination phase: Saturation
% 0.67/0.38 % (217805)Time elapsed: 0.001 s
% 0.67/0.38 % (217805)Peak memory usage: 11 MB
% 0.67/0.38 % (217805)Instructions burned: 4 (million)
% 0.67/0.38 % (217802)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1742384451:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.67/0.38 % (217801)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1472300081:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.67/0.38 % (217811)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.38 % (217803)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=1123874410:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.67/0.38 % (217809)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=36021318:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.67/0.38 % (217811)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2740188008:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.67/0.38 % (217811)Instruction limit reached!
% 0.67/0.38 % (217811)------------------------------
% 0.67/0.38 % (217811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.42 % (217811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.42 % (217811)CaDiCaL version: 2.1.3
% 0.67/0.42 % (217811)Termination reason: Instruction limit
% 0.67/0.42 % (217811)Termination phase: Saturation
% 0.67/0.42 % (217811)Time elapsed: 0.003 s
% 0.67/0.42 % (217811)Peak memory usage: 11 MB
% 0.67/0.42 % (217811)Instructions burned: 9 (million)
% 0.67/0.42 % (217809)Instruction limit reached!
% 0.67/0.42 % (217809)------------------------------
% 0.67/0.42 % (217809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.42 % (217809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.42 % (217809)CaDiCaL version: 2.1.3
% 0.67/0.42 % (217809)Termination reason: Instruction limit
% 0.67/0.42 % (217809)Termination phase: Saturation
% 0.67/0.42 % (217809)Time elapsed: 0.004 s
% 0.67/0.42 % (217809)Peak memory usage: 11 MB
% 0.67/0.42 % (217809)Instructions burned: 5 (million)
% 0.67/0.42 % (217817)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=686934133:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.67/0.42 % (217797)Instruction limit reached!
% 0.67/0.42 % (217797)------------------------------
% 0.67/0.42 % (217797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.42 % (217797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.42 % (217797)CaDiCaL version: 2.1.3
% 0.67/0.42 % (217797)Termination reason: Instruction limit
% 0.67/0.42 % (217797)Termination phase: Saturation
% 0.67/0.42 % (217797)Time elapsed: 0.037 s
% 0.67/0.42 % (217797)Peak memory usage: 12 MB
% 0.67/0.42 % (217797)Instructions burned: 88 (million)
% 0.67/0.42 % (217817)Instruction limit reached!
% 0.67/0.42 % (217817)------------------------------
% 0.67/0.42 % (217817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.42 % (217817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.42 % (217817)CaDiCaL version: 2.1.3
% 0.67/0.42 % (217817)Termination reason: Instruction limit
% 0.67/0.42 % (217817)Termination phase: Saturation
% 0.67/0.42 % (217817)Time elapsed: 0.004 s
% 0.67/0.42 % (217817)Peak memory usage: 12 MB
% 0.67/0.42 % (217817)Instructions burned: 12 (million)
% 0.67/0.42 % (217818)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
% 0.67/0.42 % (217818)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.42 % (217801)Instruction limit reached!
% 0.67/0.42 % (217801)------------------------------
% 0.67/0.42 % (217801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.42 % (217801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.42 % (217801)CaDiCaL version: 2.1.3
% 0.67/0.42 % (217801)Termination reason: Instruction limit
% 0.67/0.42 % (217801)Termination phase: Saturation
% 0.67/0.42 % (217801)Time elapsed: 0.023 s
% 0.67/0.42 % (217801)Peak memory usage: 12 MB
% 0.67/0.42 % (217801)Instructions burned: 26 (million)
% 0.67/0.42 % (217818)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=683352171:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.67/0.42 % (217821)lrs+10_1_si=on:cs=on:random_seed=676838789:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.67/0.42 % (217820)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=2765454960:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.67/0.42 % (217821)Instruction limit reached!
% 0.67/0.42 % (217821)------------------------------
% 0.67/0.42 % (217821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.42 % (217821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.42 % (217821)CaDiCaL version: 2.1.3
% 0.67/0.42 % (217821)Termination reason: Instruction limit
% 0.67/0.42 % (217821)Termination phase: Saturation
% 0.67/0.42 % (217821)Time elapsed: 0.006 s
% 0.67/0.42 % (217821)Peak memory usage: 12 MB
% 0.67/0.42 % (217821)Instructions burned: 22 (million)
% 0.67/0.42 % (217822)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.67/0.44 % (217822)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=394092913:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.67/0.44 % (217822)Instruction limit reached!
% 0.67/0.44 % (217822)------------------------------
% 0.67/0.44 % (217822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (217822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (217822)CaDiCaL version: 2.1.3
% 0.67/0.44 % (217822)Termination reason: Instruction limit
% 0.67/0.44 % (217822)Termination phase: Saturation
% 0.67/0.44 % (217822)Time elapsed: 0.003 s
% 0.67/0.44 % (217822)Peak memory usage: 11 MB
% 0.67/0.44 % (217822)Instructions burned: 5 (million)
% 0.67/0.44 % (217826)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3365357134:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.67/0.44 % (217826)Refutation not found, incomplete strategy
% 0.67/0.44 % (217826)------------------------------
% 0.67/0.44 % (217826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (217826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (217826)CaDiCaL version: 2.1.3
% 0.67/0.44 % (217826)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.44 % (217826)Time elapsed: 0.0000 s
% 0.67/0.44 % (217826)Peak memory usage: 11 MB
% 0.67/0.44 % (217826)------------------------------
% 0.67/0.44 % (217826)------------------------------
% 0.67/0.44 % (217818)Instruction limit reached!
% 0.67/0.44 % (217818)------------------------------
% 0.67/0.44 % (217818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (217818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (217818)CaDiCaL version: 2.1.3
% 0.67/0.44 % (217818)Termination reason: Instruction limit
% 0.67/0.44 % (217818)Termination phase: Saturation
% 0.67/0.44 % (217818)Time elapsed: 0.025 s
% 0.67/0.44 % (217818)Peak memory usage: 12 MB
% 0.67/0.44 % (217818)Instructions burned: 28 (million)
% 0.67/0.44 % (217802)Instruction limit reached!
% 0.67/0.44 % (217802)------------------------------
% 0.67/0.44 % (217802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (217802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (217802)CaDiCaL version: 2.1.3
% 0.67/0.44 % (217802)Termination reason: Instruction limit
% 0.67/0.44 % (217802)Termination phase: Saturation
% 0.67/0.44 % (217802)Time elapsed: 0.065 s
% 0.67/0.44 % (217802)Peak memory usage: 12 MB
% 0.67/0.44 % (217802)Instructions burned: 76 (million)
% 0.67/0.44 % (217829)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3956519997:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.67/0.44 % (217829)Refutation not found, incomplete strategy
% 0.67/0.44 % (217829)------------------------------
% 0.67/0.44 % (217829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (217829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (217829)CaDiCaL version: 2.1.3
% 0.67/0.44 % (217829)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.44 % (217829)Time elapsed: 0.001 s
% 0.67/0.44 % (217829)Peak memory usage: 11 MB
% 0.67/0.44 % (217829)------------------------------
% 0.67/0.44 % (217829)------------------------------
% 0.67/0.44 % (217831)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=867029884:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.67/0.44 % (217832)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3699197085:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.67/0.44 % (217830)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3851774273:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.67/0.44 % (217832)Refutation not found, incomplete strategy
% 0.67/0.44 % (217832)------------------------------
% 0.67/0.44 % (217832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (217832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (217832)CaDiCaL version: 2.1.3
% 0.67/0.44 % (217832)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.48 % (217832)Time elapsed: 0.0000 s
% 0.67/0.48 % (217832)Peak memory usage: 11 MB
% 0.67/0.48 % (217830)Refutation not found, incomplete strategy
% 0.67/0.48 % (217830)------------------------------
% 0.67/0.48 % (217830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.48 % (217830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.48 % (217830)CaDiCaL version: 2.1.3
% 0.67/0.48 % (217830)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.48 % (217830)Time elapsed: 0.0000 s
% 0.67/0.48 % (217830)Peak memory usage: 11 MB
% 0.67/0.48 % (217832)------------------------------
% 0.67/0.48 % (217832)------------------------------
% 0.67/0.48 % (217830)------------------------------
% 0.67/0.48 % (217830)------------------------------
% 0.67/0.48 % (217838)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2818269347: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)
% 0.67/0.48 % (217838)Refutation not found, incomplete strategy
% 0.67/0.48 % (217838)------------------------------
% 0.67/0.48 % (217838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.48 % (217838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.48 % (217838)CaDiCaL version: 2.1.3
% 0.67/0.48 % (217838)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.48 % (217838)Time elapsed: 0.0000 s
% 0.67/0.48 % (217838)Peak memory usage: 11 MB
% 0.67/0.48 % (217838)------------------------------
% 0.67/0.48 % (217838)------------------------------
% 0.67/0.48 % (217820)Instruction limit reached!
% 0.67/0.48 % (217820)------------------------------
% 0.67/0.48 % (217820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.48 % (217820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.48 % (217820)CaDiCaL version: 2.1.3
% 0.67/0.48 % (217820)Termination reason: Instruction limit
% 0.67/0.48 % (217820)Termination phase: Saturation
% 0.67/0.48 % (217820)Time elapsed: 0.049 s
% 0.67/0.48 % (217820)Peak memory usage: 12 MB
% 0.67/0.48 % (217820)Instructions burned: 87 (million)
% 0.67/0.48 % (217831)Instruction limit reached!
% 0.67/0.48 % (217831)------------------------------
% 0.67/0.48 % (217831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.48 % (217831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.48 % (217831)CaDiCaL version: 2.1.3
% 0.67/0.48 % (217831)Termination reason: Instruction limit
% 0.67/0.48 % (217831)Termination phase: Saturation
% 0.67/0.48 % (217831)Time elapsed: 0.016 s
% 0.67/0.48 % (217831)Peak memory usage: 12 MB
% 0.67/0.48 % (217831)Instructions burned: 15 (million)
% 0.67/0.48 % (217835)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=716281652:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.67/0.48 % (217839)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1510567955:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.67/0.48 % (217841)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2562428876:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.67/0.48 % (217841)Instruction limit reached!
% 0.67/0.48 % (217841)------------------------------
% 0.67/0.48 % (217841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.48 % (217841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.48 % (217841)CaDiCaL version: 2.1.3
% 0.67/0.48 % (217841)Termination reason: Instruction limit
% 0.67/0.48 % (217841)Termination phase: Saturation
% 0.67/0.48 % (217841)Time elapsed: 0.006 s
% 0.67/0.48 % (217841)Peak memory usage: 11 MB
% 0.67/0.48 % (217841)Instructions burned: 25 (million)
% 0.67/0.48 % (217803)Instruction limit reached!
% 0.67/0.48 % (217803)------------------------------
% 0.67/0.48 % (217803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.48 % (217803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.48 % (217803)CaDiCaL version: 2.1.3
% 0.67/0.48 % (217803)Termination reason: Instruction limit
% 0.67/0.48 % (217803)Termination phase: Saturation
% 0.67/0.48 % (217803)Time elapsed: 0.102 s
% 0.67/0.48 % (217803)Peak memory usage: 12 MB
% 0.67/0.48 % (217803)Instructions burned: 158 (million)
% 0.67/0.48 % (217842)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3604929667:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.42/0.51 % (217839)Instruction limit reached!
% 1.42/0.51 % (217839)------------------------------
% 1.42/0.51 % (217839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (217839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (217839)CaDiCaL version: 2.1.3
% 1.42/0.51 % (217839)Termination reason: Instruction limit
% 1.42/0.51 % (217839)Termination phase: Saturation
% 1.42/0.51 % (217839)Time elapsed: 0.014 s
% 1.42/0.51 % (217839)Peak memory usage: 12 MB
% 1.42/0.51 % (217839)Instructions burned: 28 (million)
% 1.42/0.51 % (217835)Instruction limit reached!
% 1.42/0.51 % (217835)------------------------------
% 1.42/0.51 % (217835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (217835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (217835)CaDiCaL version: 2.1.3
% 1.42/0.51 % (217835)Termination reason: Instruction limit
% 1.42/0.51 % (217835)Termination phase: Saturation
% 1.42/0.51 % (217835)Time elapsed: 0.018 s
% 1.42/0.51 % (217835)Peak memory usage: 11 MB
% 1.42/0.51 % (217835)Instructions burned: 15 (million)
% 1.42/0.51 % (217847)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.42/0.51 % (217843)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.42/0.51 % (217843)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.42/0.51 % (217847)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=1549777800:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.42/0.51 % (217847)Instruction limit reached!
% 1.42/0.51 % (217847)------------------------------
% 1.42/0.51 % (217847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (217843)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=3415418970:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.42/0.51 % (217847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (217847)CaDiCaL version: 2.1.3
% 1.42/0.51 % (217847)Termination reason: Instruction limit
% 1.42/0.51 % (217847)Termination phase: Saturation
% 1.42/0.51 % (217847)Time elapsed: 0.003 s
% 1.42/0.51 % (217847)Peak memory usage: 11 MB
% 1.42/0.51 % (217847)Instructions burned: 9 (million)
% 1.42/0.51 % (217843)Instruction limit reached!
% 1.42/0.51 % (217843)------------------------------
% 1.42/0.51 % (217843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (217843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (217843)CaDiCaL version: 2.1.3
% 1.42/0.51 % (217843)Termination reason: Instruction limit
% 1.42/0.51 % (217843)Termination phase: Saturation
% 1.42/0.51 % (217843)Time elapsed: 0.009 s
% 1.42/0.51 % (217843)Peak memory usage: 12 MB
% 1.42/0.51 % (217843)Instructions burned: 15 (million)
% 1.42/0.51 % (217854)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1096925587:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.42/0.51 % (217851)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3715722345:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.42/0.51 % (217850)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1068801437:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.42/0.51 % (217854)Instruction limit reached!
% 1.42/0.51 % (217854)------------------------------
% 1.42/0.51 % (217854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.51 % (217854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.51 % (217854)CaDiCaL version: 2.1.3
% 1.42/0.51 % (217854)Termination reason: Instruction limit
% 1.42/0.51 % (217854)Termination phase: Saturation
% 1.42/0.51 % (217854)Time elapsed: 0.006 s
% 1.42/0.51 % (217854)Peak memory usage: 12 MB
% 1.42/0.51 % (217854)Instructions burned: 22 (million)
% 1.42/0.57 % (217842)Instruction limit reached!
% 1.42/0.57 % (217842)------------------------------
% 1.42/0.57 % (217842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (217842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (217842)CaDiCaL version: 2.1.3
% 1.42/0.57 % (217842)Termination reason: Instruction limit
% 1.42/0.57 % (217842)Termination phase: Saturation
% 1.42/0.57 % (217842)Time elapsed: 0.027 s
% 1.42/0.57 % (217842)Peak memory usage: 11 MB
% 1.42/0.57 % (217842)Instructions burned: 60 (million)
% 1.42/0.57 % (217849)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=3848247514:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.42/0.57 % (217850)Instruction limit reached!
% 1.42/0.57 % (217850)------------------------------
% 1.42/0.57 % (217850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (217850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (217850)CaDiCaL version: 2.1.3
% 1.42/0.57 % (217850)Termination reason: Instruction limit
% 1.42/0.57 % (217850)Termination phase: Saturation
% 1.42/0.57 % (217850)Time elapsed: 0.005 s
% 1.42/0.57 % (217850)Peak memory usage: 12 MB
% 1.42/0.57 % (217850)Instructions burned: 8 (million)
% 1.42/0.57 % (217851)Instruction limit reached!
% 1.42/0.57 % (217851)------------------------------
% 1.42/0.57 % (217851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (217851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (217851)CaDiCaL version: 2.1.3
% 1.42/0.57 % (217851)Termination reason: Instruction limit
% 1.42/0.57 % (217851)Termination phase: Saturation
% 1.42/0.57 % (217851)Time elapsed: 0.011 s
% 1.42/0.57 % (217851)Peak memory usage: 12 MB
% 1.42/0.57 % (217851)Instructions burned: 25 (million)
% 1.42/0.57 % (217859)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=264980843:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.42/0.57 % (217849)Instruction limit reached!
% 1.42/0.57 % (217849)------------------------------
% 1.42/0.57 % (217849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (217849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (217849)CaDiCaL version: 2.1.3
% 1.42/0.57 % (217849)Termination reason: Instruction limit
% 1.42/0.57 % (217849)Termination phase: Saturation
% 1.42/0.57 % (217849)Time elapsed: 0.016 s
% 1.42/0.57 % (217849)Peak memory usage: 11 MB
% 1.42/0.57 % (217849)Instructions burned: 31 (million)
% 1.42/0.57 % (217864)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.42/0.57 % (217863)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3094678363:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.42/0.57 % (217864)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3505854742:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.42/0.57 % (217855)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2521344356:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.42/0.57 % (217864)Instruction limit reached!
% 1.42/0.57 % (217864)------------------------------
% 1.42/0.57 % (217864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (217864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.42/0.57 % (217864)CaDiCaL version: 2.1.3
% 1.42/0.57 % (217864)Termination reason: Instruction limit
% 1.42/0.57 % (217864)Termination phase: Saturation
% 1.42/0.57 % (217864)Time elapsed: 0.005 s
% 1.42/0.57 % (217864)Peak memory usage: 11 MB
% 1.42/0.57 % (217864)Instructions burned: 8 (million)
% 1.42/0.57 % (217861)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2256043876:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.42/0.57 % (217861)Refutation not found, incomplete strategy
% 1.42/0.57 % (217861)------------------------------
% 1.42/0.57 % (217861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.42/0.57 % (217861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.68 % (217861)CaDiCaL version: 2.1.3
% 2.44/0.68 % (217861)Termination reason: Refutation not found, incomplete strategy
% 2.44/0.68 % (217861)Time elapsed: 0.001 s
% 2.44/0.68 % (217861)Peak memory usage: 11 MB
% 2.44/0.68 % (217861)------------------------------
% 2.44/0.68 % (217861)------------------------------
% 2.44/0.68 % (217866)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=356799888:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.44/0.68 % (217866)Refutation not found, incomplete strategy
% 2.44/0.68 % (217866)------------------------------
% 2.44/0.68 % (217866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.68 % (217866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.68 % (217866)CaDiCaL version: 2.1.3
% 2.44/0.68 % (217866)Termination reason: Refutation not found, incomplete strategy
% 2.44/0.68 % (217866)Time elapsed: 0.001 s
% 2.44/0.68 % (217866)Peak memory usage: 11 MB
% 2.44/0.68 % (217866)------------------------------
% 2.44/0.68 % (217866)------------------------------
% 2.44/0.68 % (217863)Instruction limit reached!
% 2.44/0.68 % (217863)------------------------------
% 2.44/0.68 % (217863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.68 % (217863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.68 % (217863)CaDiCaL version: 2.1.3
% 2.44/0.68 % (217863)Termination reason: Instruction limit
% 2.44/0.68 % (217863)Termination phase: Saturation
% 2.44/0.68 % (217863)Time elapsed: 0.020 s
% 2.44/0.68 % (217863)Peak memory usage: 11 MB
% 2.44/0.68 % (217863)Instructions burned: 43 (million)
% 2.44/0.68 % (217871)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=2650648756: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)
% 2.44/0.68 % (217871)Refutation not found, incomplete strategy
% 2.44/0.68 % (217871)------------------------------
% 2.44/0.68 % (217871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.68 % (217871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.68 % (217871)CaDiCaL version: 2.1.3
% 2.44/0.68 % (217871)Termination reason: Refutation not found, incomplete strategy
% 2.44/0.68 % (217871)Time elapsed: 0.001 s
% 2.44/0.68 % (217871)Peak memory usage: 11 MB
% 2.44/0.68 % (217871)------------------------------
% 2.44/0.68 % (217871)------------------------------
% 2.44/0.68 % (217874)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2620803746:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.44/0.68 % (217872)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.44/0.68 % (217875)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2418366305:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.44/0.68 % (217875)Refutation not found, incomplete strategy
% 2.44/0.68 % (217875)------------------------------
% 2.44/0.68 % (217875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.68 % (217875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.68 % (217875)CaDiCaL version: 2.1.3
% 2.44/0.68 % (217875)Termination reason: Refutation not found, incomplete strategy
% 2.44/0.68 % (217875)Time elapsed: 0.002 s
% 2.44/0.68 % (217875)Peak memory usage: 12 MB
% 2.44/0.68 % (217875)Instructions burned: 2 (million)
% 2.44/0.68 % (217875)------------------------------
% 2.44/0.68 % (217875)------------------------------
% 2.44/0.68 % (217874)Instruction limit reached!
% 2.44/0.68 % (217874)------------------------------
% 2.44/0.68 % (217874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.44/0.68 % (217874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/0.68 % (217874)CaDiCaL version: 2.1.3
% 2.44/0.68 % (217874)Termination reason: Instruction limit
% 2.44/0.68 % (217874)Termination phase: Saturation
% 2.44/0.68 % (217874)Time elapsed: 0.011 s
% 2.44/0.68 % (217874)Peak memory usage: 12 MB
% 2.44/0.68 % (217874)Instructions burned: 22 (million)
% 2.44/0.68 % (217877)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=3510712163:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.81/0.72 % (217872)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2515532549:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.81/0.72 % (217872)Refutation not found, incomplete strategy
% 2.81/0.72 % (217872)------------------------------
% 2.81/0.72 % (217872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.72 % (217872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.72 % (217872)CaDiCaL version: 2.1.3
% 2.81/0.72 % (217872)Termination reason: Refutation not found, incomplete strategy
% 2.81/0.72 % (217872)Time elapsed: 0.001 s
% 2.81/0.72 % (217872)Peak memory usage: 11 MB
% 2.81/0.72 % (217872)Instructions burned: 1 (million)
% 2.81/0.72 % (217872)------------------------------
% 2.81/0.72 % (217872)------------------------------
% 2.81/0.72 % (217880)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=1771659852: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)
% 2.81/0.72 % (217882)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=1662998604: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)
% 2.81/0.72 % (217859)Instruction limit reached!
% 2.81/0.72 % (217859)------------------------------
% 2.81/0.72 % (217859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.72 % (217859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.72 % (217859)CaDiCaL version: 2.1.3
% 2.81/0.72 % (217859)Termination reason: Instruction limit
% 2.81/0.72 % (217859)Termination phase: Saturation
% 2.81/0.72 % (217859)Time elapsed: 0.077 s
% 2.81/0.72 % (217859)Peak memory usage: 12 MB
% 2.81/0.72 % (217859)Instructions burned: 145 (million)
% 2.81/0.72 % (217884)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=832135011:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.81/0.72 % (217884)Refutation not found, incomplete strategy
% 2.81/0.72 % (217884)------------------------------
% 2.81/0.72 % (217884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.72 % (217884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.72 % (217884)CaDiCaL version: 2.1.3
% 2.81/0.72 % (217884)Termination reason: Refutation not found, incomplete strategy
% 2.81/0.72 % (217884)Time elapsed: 0.001 s
% 2.81/0.72 % (217884)Peak memory usage: 11 MB
% 2.81/0.72 % (217884)Instructions burned: 1 (million)
% 2.81/0.72 % (217884)------------------------------
% 2.81/0.72 % (217884)------------------------------
% 2.81/0.72 % (217889)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.81/0.72 % (217887)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1273928530:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.81/0.72 % (217889)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1327990110:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.81/0.72 % (217882)Instruction limit reached!
% 2.81/0.72 % (217882)------------------------------
% 2.81/0.72 % (217882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.72 % (217882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.72 % (217882)CaDiCaL version: 2.1.3
% 2.81/0.72 % (217882)Termination reason: Instruction limit
% 2.81/0.72 % (217882)Termination phase: Saturation
% 2.81/0.72 % (217882)Time elapsed: 0.039 s
% 2.81/0.72 % (217882)Peak memory usage: 12 MB
% 2.81/0.72 % (217882)Instructions burned: 51 (million)
% 2.81/0.72 % (217887)Instruction limit reached!
% 2.81/0.72 % (217887)------------------------------
% 2.81/0.72 % (217887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.72 % (217887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.72 % (217887)CaDiCaL version: 2.1.3
% 2.81/0.72 % (217887)Termination reason: Instruction limit
% 2.81/0.72 % (217887)Termination phase: Saturation
% 2.81/0.76 % (217887)Time elapsed: 0.012 s
% 2.81/0.76 % (217887)Peak memory usage: 12 MB
% 2.81/0.76 % (217887)Instructions burned: 23 (million)
% 2.81/0.76 % (217892)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1074906967:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.81/0.76 % (217892)Instruction limit reached!
% 2.81/0.76 % (217892)------------------------------
% 2.81/0.76 % (217892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.76 % (217892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.76 % (217892)CaDiCaL version: 2.1.3
% 2.81/0.76 % (217892)Termination reason: Instruction limit
% 2.81/0.76 % (217892)Termination phase: Saturation
% 2.81/0.76 % (217892)Time elapsed: 0.008 s
% 2.81/0.76 % (217892)Peak memory usage: 12 MB
% 2.81/0.76 % (217892)Instructions burned: 14 (million)
% 2.81/0.76 % (217893)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=634605678:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.81/0.76 % (217895)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=687080217:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.81/0.76 % (217895)Refutation not found, incomplete strategy
% 2.81/0.76 % (217895)------------------------------
% 2.81/0.76 % (217895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.76 % (217895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.76 % (217895)CaDiCaL version: 2.1.3
% 2.81/0.76 % (217895)Termination reason: Refutation not found, incomplete strategy
% 2.81/0.76 % (217895)Time elapsed: 0.001 s
% 2.81/0.76 % (217895)Peak memory usage: 11 MB
% 2.81/0.76 % (217895)Instructions burned: 1 (million)
% 2.81/0.76 % (217895)------------------------------
% 2.81/0.76 % (217895)------------------------------
% 2.81/0.76 % (217898)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2857585241:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.81/0.76 % (217800)Instruction limit reached!
% 2.81/0.76 % (217800)------------------------------
% 2.81/0.76 % (217800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.76 % (217800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.76 % (217800)CaDiCaL version: 2.1.3
% 2.81/0.76 % (217800)Termination reason: Instruction limit
% 2.81/0.76 % (217800)Termination phase: Saturation
% 2.81/0.76 % (217800)Time elapsed: 0.353 s
% 2.81/0.76 % (217800)Peak memory usage: 13 MB
% 2.81/0.76 % (217800)Instructions burned: 635 (million)
% 2.81/0.76 % (217898)Instruction limit reached!
% 2.81/0.76 % (217898)------------------------------
% 2.81/0.76 % (217898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.76 % (217898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.76 % (217898)CaDiCaL version: 2.1.3
% 2.81/0.76 % (217898)Termination reason: Instruction limit
% 2.81/0.76 % (217898)Termination phase: Saturation
% 2.81/0.76 % (217898)Time elapsed: 0.016 s
% 2.81/0.76 % (217898)Peak memory usage: 11 MB
% 2.81/0.76 % (217898)Instructions burned: 31 (million)
% 2.81/0.76 % (217893)Instruction limit reached!
% 2.81/0.76 % (217893)------------------------------
% 2.81/0.76 % (217893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.76 % (217893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.76 % (217893)CaDiCaL version: 2.1.3
% 2.81/0.76 % (217893)Termination reason: Instruction limit
% 2.81/0.76 % (217893)Termination phase: Saturation
% 2.81/0.76 % (217893)Time elapsed: 0.050 s
% 2.81/0.76 % (217893)Peak memory usage: 13 MB
% 2.81/0.76 % (217893)Instructions burned: 68 (million)
% 2.81/0.76 % (217900)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1448809782:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.81/0.76 % (217889)Instruction limit reached!
% 2.81/0.76 % (217889)------------------------------
% 2.81/0.76 % (217889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.81/0.76 % (217889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.81/0.76 % (217889)CaDiCaL version: 2.1.3
% 2.81/0.76 % (217889)Termination reason: Instruction limit
% 2.81/0.76 % (217889)Termination phase: Saturation
% 2.81/0.76 % (217889)Time elapsed: 0.113 s
% 3.39/0.84 % (217889)Peak memory usage: 12 MB
% 3.39/0.84 % (217889)Instructions burned: 202 (million)
% 3.39/0.84 % (217901)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=2620034955:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.39/0.84 % (217877)Instruction limit reached!
% 3.39/0.84 % (217877)------------------------------
% 3.39/0.84 % (217877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.84 % (217877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.84 % (217877)CaDiCaL version: 2.1.3
% 3.39/0.84 % (217877)Termination reason: Instruction limit
% 3.39/0.84 % (217877)Termination phase: Saturation
% 3.39/0.84 % (217877)Time elapsed: 0.167 s
% 3.39/0.84 % (217877)Peak memory usage: 13 MB
% 3.39/0.84 % (217877)Instructions burned: 316 (million)
% 3.39/0.84 % (217902)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2359694666:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.39/0.84 % (217902)Refutation not found, incomplete strategy
% 3.39/0.85 % (217902)------------------------------
% 3.39/0.85 % (217902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.85 % (217902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.85 % (217902)CaDiCaL version: 2.1.3
% 3.39/0.85 % (217902)Termination reason: Refutation not found, incomplete strategy
% 3.39/0.85 % (217902)Time elapsed: 0.001 s
% 3.39/0.85 % (217902)Peak memory usage: 11 MB
% 3.39/0.85 % (217902)Instructions burned: 1 (million)
% 3.39/0.85 % (217902)------------------------------
% 3.39/0.85 % (217902)------------------------------
% 3.39/0.85 % (217901)Instruction limit reached!
% 3.39/0.85 % (217901)------------------------------
% 3.39/0.85 % (217901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.85 % (217901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.85 % (217901)CaDiCaL version: 2.1.3
% 3.39/0.85 % (217901)Termination reason: Instruction limit
% 3.39/0.85 % (217901)Termination phase: Saturation
% 3.39/0.85 % (217901)Time elapsed: 0.018 s
% 3.39/0.85 % (217901)Peak memory usage: 12 MB
% 3.39/0.85 % (217901)Instructions burned: 35 (million)
% 3.39/0.85 % (217907)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3263016704:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.39/0.85 % (217907)Refutation not found, incomplete strategy
% 3.39/0.85 % (217907)------------------------------
% 3.39/0.85 % (217907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.85 % (217907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.85 % (217907)CaDiCaL version: 2.1.3
% 3.39/0.85 % (217907)Termination reason: Refutation not found, incomplete strategy
% 3.39/0.85 % (217907)Time elapsed: 0.001 s
% 3.39/0.85 % (217907)Peak memory usage: 11 MB
% 3.39/0.85 % (217908)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2749815270:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.39/0.85 % (217907)------------------------------
% 3.39/0.85 % (217907)------------------------------
% 3.39/0.85 % (217904)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.39/0.85 % (217904)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1638732438:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.39/0.85 % (217909)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1638553334:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.39/0.85 % (217909)Refutation not found, incomplete strategy
% 3.39/0.85 % (217909)------------------------------
% 3.39/0.85 % (217909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.39/0.85 % (217909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/0.85 % (217909)CaDiCaL version: 2.1.3
% 3.39/0.85 % (217909)Termination reason: Refutation not found, incomplete strategy
% 3.39/0.85 % (217909)Time elapsed: 0.001 s
% 3.39/0.85 % (217909)Peak memory usage: 11 MB
% 3.39/0.85 % (217909)------------------------------
% 3.39/0.85 % (217909)------------------------------
% 3.39/0.85 % (217912)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1481917829:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.76/0.93 % (217912)Refutation not found, incomplete strategy
% 3.76/0.93 % (217912)------------------------------
% 3.76/0.93 % (217912)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.93 % (217912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.93 % (217912)CaDiCaL version: 2.1.3
% 3.76/0.93 % (217912)Termination reason: Refutation not found, incomplete strategy
% 3.76/0.93 % (217912)Time elapsed: 0.001 s
% 3.76/0.93 % (217912)Peak memory usage: 11 MB
% 3.76/0.93 % (217912)------------------------------
% 3.76/0.93 % (217912)------------------------------
% 3.76/0.93 % (217900)Instruction limit reached!
% 3.76/0.93 % (217900)------------------------------
% 3.76/0.93 % (217900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.93 % (217900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.93 % (217900)CaDiCaL version: 2.1.3
% 3.76/0.93 % (217900)Termination reason: Instruction limit
% 3.76/0.93 % (217900)Termination phase: Saturation
% 3.76/0.93 % (217900)Time elapsed: 0.070 s
% 3.76/0.93 % (217900)Peak memory usage: 12 MB
% 3.76/0.93 % (217900)Instructions burned: 140 (million)
% 3.76/0.93 % (217915)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1358986353:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.76/0.93 % (217915)Refutation not found, incomplete strategy
% 3.76/0.93 % (217915)------------------------------
% 3.76/0.93 % (217915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.93 % (217915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.93 % (217915)CaDiCaL version: 2.1.3
% 3.76/0.93 % (217915)Termination reason: Refutation not found, incomplete strategy
% 3.76/0.93 % (217915)Time elapsed: 0.001 s
% 3.76/0.93 % (217915)Peak memory usage: 11 MB
% 3.76/0.93 % (217915)------------------------------
% 3.76/0.93 % (217915)------------------------------
% 3.76/0.93 % (217917)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2765877201:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.76/0.93 % (217917)Refutation not found, incomplete strategy
% 3.76/0.93 % (217917)------------------------------
% 3.76/0.93 % (217917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.93 % (217917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.93 % (217917)CaDiCaL version: 2.1.3
% 3.76/0.93 % (217917)Termination reason: Refutation not found, incomplete strategy
% 3.76/0.93 % (217917)Time elapsed: 0.001 s
% 3.76/0.93 % (217917)Peak memory usage: 11 MB
% 3.76/0.93 % (217917)Instructions burned: 1 (million)
% 3.76/0.93 % (217917)------------------------------
% 3.76/0.93 % (217917)------------------------------
% 3.76/0.93 % (217908)Instruction limit reached!
% 3.76/0.93 % (217908)------------------------------
% 3.76/0.93 % (217908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.93 % (217908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.93 % (217908)CaDiCaL version: 2.1.3
% 3.76/0.93 % (217908)Termination reason: Instruction limit
% 3.76/0.93 % (217908)Termination phase: Saturation
% 3.76/0.93 % (217908)Time elapsed: 0.042 s
% 3.76/0.93 % (217908)Peak memory usage: 11 MB
% 3.76/0.93 % (217908)Instructions burned: 98 (million)
% 3.76/0.93 % (217918)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2693598631:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.76/0.93 % (217920)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3928638356:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.76/0.93 % (217920)Refutation not found, incomplete strategy
% 3.76/0.93 % (217920)------------------------------
% 3.76/0.93 % (217920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/0.93 % (217920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/0.93 % (217920)CaDiCaL version: 2.1.3
% 3.76/0.93 % (217920)Termination reason: Refutation not found, incomplete strategy
% 3.76/0.93 % (217920)Time elapsed: 0.001 s
% 3.76/0.93 % (217920)Peak memory usage: 11 MB
% 3.76/0.93 % (217920)Instructions burned: 1 (million)
% 3.76/0.93 % (217920)------------------------------
% 3.76/0.93 % (217920)------------------------------
% 3.76/0.93 % (217922)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=119311253:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.76/1.01 % (217923)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=258752407:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.76/1.01 % (217918)Instruction limit reached!
% 3.76/1.01 % (217918)------------------------------
% 3.76/1.01 % (217918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.01 % (217918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.01 % (217918)CaDiCaL version: 2.1.3
% 3.76/1.01 % (217918)Termination reason: Instruction limit
% 3.76/1.01 % (217918)Termination phase: Saturation
% 3.76/1.01 % (217918)Time elapsed: 0.022 s
% 3.76/1.01 % (217918)Peak memory usage: 12 MB
% 3.76/1.01 % (217918)Instructions burned: 46 (million)
% 3.76/1.01 % (217904)Instruction limit reached!
% 3.76/1.01 % (217904)------------------------------
% 3.76/1.01 % (217904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.01 % (217904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.01 % (217904)CaDiCaL version: 2.1.3
% 3.76/1.01 % (217904)Termination reason: Instruction limit
% 3.76/1.01 % (217904)Termination phase: Saturation
% 3.76/1.01 % (217904)Time elapsed: 0.065 s
% 3.76/1.01 % (217904)Peak memory usage: 11 MB
% 3.76/1.01 % (217904)Instructions burned: 182 (million)
% 3.76/1.01 % (217926)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=791682338:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.76/1.01 % (217929)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=1973954346: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)
% 3.76/1.01 % (217923)Instruction limit reached!
% 3.76/1.01 % (217923)------------------------------
% 3.76/1.01 % (217923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.01 % (217923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.01 % (217923)CaDiCaL version: 2.1.3
% 3.76/1.01 % (217923)Termination reason: Instruction limit
% 3.76/1.01 % (217923)Termination phase: Saturation
% 3.76/1.01 % (217923)Time elapsed: 0.045 s
% 3.76/1.01 % (217923)Peak memory usage: 12 MB
% 3.76/1.01 % (217923)Instructions burned: 96 (million)
% 3.76/1.01 % (217931)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=3991462810: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)
% 3.76/1.01 % (217931)Refutation not found, incomplete strategy
% 3.76/1.01 % (217931)------------------------------
% 3.76/1.01 % (217931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.01 % (217931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.01 % (217931)CaDiCaL version: 2.1.3
% 3.76/1.01 % (217931)Termination reason: Refutation not found, incomplete strategy
% 3.76/1.01 % (217931)Time elapsed: 0.001 s
% 3.76/1.01 % (217931)Peak memory usage: 12 MB
% 3.76/1.01 % (217931)------------------------------
% 3.76/1.01 % (217931)------------------------------
% 3.76/1.01 % (217926)Instruction limit reached!
% 3.76/1.01 % (217926)------------------------------
% 3.76/1.01 % (217926)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.01 % (217926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.01 % (217926)CaDiCaL version: 2.1.3
% 3.76/1.01 % (217926)Termination reason: Instruction limit
% 3.76/1.01 % (217926)Termination phase: Saturation
% 3.76/1.01 % (217926)Time elapsed: 0.037 s
% 3.76/1.01 % (217926)Peak memory usage: 12 MB
% 3.76/1.01 % (217926)Instructions burned: 65 (million)
% 3.76/1.01 % (217933)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=86970109:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 3.76/1.01 % (217933)Refutation not found, incomplete strategy
% 3.76/1.01 % (217933)------------------------------
% 3.76/1.01 % (217933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.76/1.01 % (217933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (217933)CaDiCaL version: 2.1.3
% 5.10/1.15 % (217933)Termination reason: Refutation not found, incomplete strategy
% 5.10/1.15 % (217933)Time elapsed: 0.001 s
% 5.10/1.15 % (217933)Peak memory usage: 11 MB
% 5.10/1.15 % (217933)------------------------------
% 5.10/1.15 % (217933)------------------------------
% 5.10/1.15 % (217935)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4097681337:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 5.10/1.15 % (217880)Instruction limit reached!
% 5.10/1.15 % (217880)------------------------------
% 5.10/1.15 % (217880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (217880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (217880)CaDiCaL version: 2.1.3
% 5.10/1.15 % (217880)Termination reason: Instruction limit
% 5.10/1.15 % (217880)Termination phase: Saturation
% 5.10/1.15 % (217880)Time elapsed: 0.319 s
% 5.10/1.15 % (217880)Peak memory usage: 13 MB
% 5.10/1.15 % (217880)Instructions burned: 856 (million)
% 5.10/1.15 % (217940)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=1118615890:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2994 on theBenchmark for (2994ds/66Mi)
% 5.10/1.15 % (217940)Refutation not found, incomplete strategy
% 5.10/1.15 % (217940)------------------------------
% 5.10/1.15 % (217940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (217940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (217940)CaDiCaL version: 2.1.3
% 5.10/1.15 % (217940)Termination reason: Refutation not found, incomplete strategy
% 5.10/1.15 % (217940)Time elapsed: 0.001 s
% 5.10/1.15 % (217940)Peak memory usage: 11 MB
% 5.10/1.15 % (217940)------------------------------
% 5.10/1.15 % (217940)------------------------------
% 5.10/1.15 % (217939)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1296417626:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/91Mi)
% 5.10/1.15 % (217936)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=2304277782:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 5.10/1.15 % (217942)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2660910792:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 5.10/1.15 % (217929)Instruction limit reached!
% 5.10/1.15 % (217929)------------------------------
% 5.10/1.15 % (217929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (217929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (217929)CaDiCaL version: 2.1.3
% 5.10/1.15 % (217929)Termination reason: Instruction limit
% 5.10/1.15 % (217929)Termination phase: Saturation
% 5.10/1.15 % (217929)Time elapsed: 0.108 s
% 5.10/1.15 % (217929)Peak memory usage: 12 MB
% 5.10/1.15 % (217929)Instructions burned: 107 (million)
% 5.10/1.15 % (217936)Instruction limit reached!
% 5.10/1.15 % (217936)------------------------------
% 5.10/1.15 % (217936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (217936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (217936)CaDiCaL version: 2.1.3
% 5.10/1.15 % (217936)Termination reason: Instruction limit
% 5.10/1.15 % (217936)Termination phase: Saturation
% 5.10/1.15 % (217936)Time elapsed: 0.023 s
% 5.10/1.15 % (217936)Peak memory usage: 12 MB
% 5.10/1.15 % (217936)Instructions burned: 35 (million)
% 5.10/1.15 % (217942)Instruction limit reached!
% 5.10/1.15 % (217942)------------------------------
% 5.10/1.15 % (217942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.10/1.15 % (217942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.10/1.15 % (217942)CaDiCaL version: 2.1.3
% 5.10/1.15 % (217942)Termination reason: Instruction limit
% 5.10/1.15 % (217942)Termination phase: Saturation
% 5.10/1.15 % (217942)Time elapsed: 0.012 s
% 5.10/1.15 % (217942)Peak memory usage: 12 MB
% 5.10/1.15 % (217942)Instructions burned: 24 (million)
% 5.10/1.15 % (217948)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.10/1.15 % (217946)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=1899532492:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 5.90/1.23 % (217948)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=1008485196: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)
% 5.90/1.23 % (217947)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2247174362:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 5.90/1.23 % (217947)Refutation not found, incomplete strategy
% 5.90/1.23 % (217947)------------------------------
% 5.90/1.23 % (217947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.23 % (217947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.23 % (217947)CaDiCaL version: 2.1.3
% 5.90/1.23 % (217947)Termination reason: Refutation not found, incomplete strategy
% 5.90/1.23 % (217947)Time elapsed: 0.001 s
% 5.90/1.23 % (217947)Peak memory usage: 11 MB
% 5.90/1.23 % (217947)------------------------------
% 5.90/1.23 % (217947)------------------------------
% 5.90/1.23 % (217939)Instruction limit reached!
% 5.90/1.23 % (217939)------------------------------
% 5.90/1.23 % (217939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.23 % (217939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.23 % (217939)CaDiCaL version: 2.1.3
% 5.90/1.23 % (217939)Termination reason: Instruction limit
% 5.90/1.23 % (217939)Termination phase: Saturation
% 5.90/1.23 % (217939)Time elapsed: 0.064 s
% 5.90/1.23 % (217939)Peak memory usage: 12 MB
% 5.90/1.23 % (217939)Instructions burned: 91 (million)
% 5.90/1.23 % (217952)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=1561923366:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/340Mi)
% 5.90/1.23 % (217922)Instruction limit reached!
% 5.90/1.23 % (217922)------------------------------
% 5.90/1.23 % (217922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.23 % (217922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.23 % (217922)CaDiCaL version: 2.1.3
% 5.90/1.23 % (217922)Termination reason: Instruction limit
% 5.90/1.23 % (217922)Termination phase: Saturation
% 5.90/1.23 % (217922)Time elapsed: 0.187 s
% 5.90/1.23 % (217922)Peak memory usage: 12 MB
% 5.90/1.23 % (217922)Instructions burned: 450 (million)
% 5.90/1.23 % (217953)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3429712885:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 5.90/1.23 % (217953)Refutation not found, incomplete strategy
% 5.90/1.23 % (217953)------------------------------
% 5.90/1.23 % (217953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.23 % (217953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.23 % (217953)CaDiCaL version: 2.1.3
% 5.90/1.23 % (217953)Termination reason: Refutation not found, incomplete strategy
% 5.90/1.23 % (217953)Time elapsed: 0.0000 s
% 5.90/1.23 % (217953)Peak memory usage: 11 MB
% 5.90/1.23 % (217953)------------------------------
% 5.90/1.23 % (217953)------------------------------
% 5.90/1.23 % (217955)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.90/1.23 % (217955)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1755879694:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/373Mi)
% 5.90/1.23 % (217948)Instruction limit reached!
% 5.90/1.23 % (217948)------------------------------
% 5.90/1.23 % (217948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.90/1.23 % (217948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.23 % (217948)CaDiCaL version: 2.1.3
% 5.90/1.23 % (217948)Termination reason: Instruction limit
% 5.90/1.23 % (217948)Termination phase: Saturation
% 5.90/1.23 % (217948)Time elapsed: 0.058 s
% 5.90/1.23 % (217948)Peak memory usage: 12 MB
% 5.90/1.23 % (217948)Instructions burned: 139 (million)
% 5.90/1.23 % (217957)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=945592367:i=116:ep=RSTC:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/116Mi)
% 5.90/1.23 % (217959)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2031445986:i=575:rtra=on_2992 on theBenchmark for (2992ds/575Mi)
% 5.40/1.30 % (217959)Refutation not found, incomplete strategy
% 5.40/1.30 % (217959)------------------------------
% 5.40/1.30 % (217959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.30 % (217959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.30 % (217959)CaDiCaL version: 2.1.3
% 5.40/1.30 % (217959)Termination reason: Refutation not found, incomplete strategy
% 5.40/1.30 % (217959)Time elapsed: 0.001 s
% 5.40/1.30 % (217959)Peak memory usage: 11 MB
% 5.40/1.30 % (217959)Instructions burned: 1 (million)
% 5.40/1.30 % (217959)------------------------------
% 5.40/1.30 % (217959)------------------------------
% 5.40/1.30 % (217962)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1118517284: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)
% 5.40/1.30 % (217957)Instruction limit reached!
% 5.40/1.30 % (217957)------------------------------
% 5.40/1.30 % (217957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.30 % (217957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.30 % (217957)CaDiCaL version: 2.1.3
% 5.40/1.30 % (217957)Termination reason: Instruction limit
% 5.40/1.30 % (217957)Termination phase: Saturation
% 5.40/1.30 % (217957)Time elapsed: 0.071 s
% 5.40/1.30 % (217957)Peak memory usage: 12 MB
% 5.40/1.30 % (217957)Instructions burned: 117 (million)
% 5.40/1.30 % (217964)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=3050629022:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/9840Mi)
% 5.40/1.30 % (217946)Instruction limit reached!
% 5.40/1.30 % (217946)------------------------------
% 5.40/1.30 % (217946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.30 % (217946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.30 % (217946)CaDiCaL version: 2.1.3
% 5.40/1.30 % (217946)Termination reason: Instruction limit
% 5.40/1.30 % (217946)Termination phase: Saturation
% 5.40/1.30 % (217946)Time elapsed: 0.183 s
% 5.40/1.30 % (217946)Peak memory usage: 13 MB
% 5.40/1.30 % (217946)Instructions burned: 338 (million)
% 5.40/1.30 % (217952)Instruction limit reached!
% 5.40/1.30 % (217952)------------------------------
% 5.40/1.30 % (217952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.30 % (217952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.30 % (217952)CaDiCaL version: 2.1.3
% 5.40/1.30 % (217952)Termination reason: Instruction limit
% 5.40/1.30 % (217952)Termination phase: Saturation
% 5.40/1.30 % (217952)Time elapsed: 0.176 s
% 5.40/1.30 % (217952)Peak memory usage: 13 MB
% 5.40/1.30 % (217952)Instructions burned: 342 (million)
% 5.40/1.30 % (217966)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1969599295:i=421:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/421Mi)
% 5.40/1.30 % (217966)Refutation not found, incomplete strategy
% 5.40/1.30 % (217966)------------------------------
% 5.40/1.30 % (217966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.30 % (217966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.30 % (217966)CaDiCaL version: 2.1.3
% 5.40/1.30 % (217966)Termination reason: Refutation not found, incomplete strategy
% 5.40/1.30 % (217966)Time elapsed: 0.001 s
% 5.40/1.30 % (217966)Peak memory usage: 11 MB
% 5.40/1.30 % (217966)------------------------------
% 5.40/1.30 % (217966)------------------------------
% 5.40/1.30 % (217962)Instruction limit reached!
% 5.40/1.30 % (217962)------------------------------
% 5.40/1.30 % (217962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.30 % (217962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.30 % (217962)CaDiCaL version: 2.1.3
% 5.40/1.30 % (217962)Termination reason: Instruction limit
% 5.40/1.30 % (217962)Termination phase: Saturation
% 5.40/1.30 % (217962)Time elapsed: 0.117 s
% 5.40/1.30 % (217962)Peak memory usage: 12 MB
% 5.40/1.30 % (217962)Instructions burned: 273 (million)
% 5.40/1.30 % (217955)Instruction limit reached!
% 5.40/1.30 % (217955)------------------------------
% 5.40/1.30 % (217955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.38 % (217955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.38 % (217955)CaDiCaL version: 2.1.3
% 5.40/1.38 % (217955)Termination reason: Instruction limit
% 5.40/1.38 % (217955)Termination phase: Saturation
% 5.40/1.38 % (217955)Time elapsed: 0.176 s
% 5.40/1.38 % (217955)Peak memory usage: 12 MB
% 5.40/1.38 % (217955)Instructions burned: 373 (million)
% 5.40/1.38 % (217967)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
% 5.40/1.38 % (217967)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=2839457269:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/270Mi)
% 5.40/1.38 % (217969)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=134296577:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/31Mi)
% 5.40/1.38 % (217970)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.40/1.38 % (217970)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.40/1.38 % (217969)Instruction limit reached!
% 5.40/1.38 % (217969)------------------------------
% 5.40/1.38 % (217969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.38 % (217969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.38 % (217969)CaDiCaL version: 2.1.3
% 5.40/1.38 % (217969)Termination reason: Instruction limit
% 5.40/1.38 % (217969)Termination phase: Saturation
% 5.40/1.38 % (217969)Time elapsed: 0.013 s
% 5.40/1.38 % (217969)Peak memory usage: 11 MB
% 5.40/1.38 % (217969)Instructions burned: 32 (million)
% 5.40/1.38 % (217970)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=1021809514:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2991 on theBenchmark for (2991ds/1440Mi)
% 5.40/1.38 % (217971)dis+10_2_sil=128000:si=on:random_seed=539843214:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2991 on theBenchmark for (2991ds/339Mi)
% 5.40/1.38 % (217971)Refutation not found, incomplete strategy
% 5.40/1.38 % (217971)------------------------------
% 5.40/1.38 % (217971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.38 % (217971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.38 % (217971)CaDiCaL version: 2.1.3
% 5.40/1.38 % (217971)Termination reason: Refutation not found, incomplete strategy
% 5.40/1.38 % (217971)Time elapsed: 0.003 s
% 5.40/1.38 % (217971)Peak memory usage: 11 MB
% 5.40/1.38 % (217971)------------------------------
% 5.40/1.38 % (217971)------------------------------
% 5.40/1.38 % (217974)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=832971741:i=111:add=on:fgj=on:rtra=on:fdi=1024_2990 on theBenchmark for (2990ds/111Mi)
% 5.40/1.38 % (217977)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=1522629019:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/122Mi)
% 5.40/1.38 % (217977)Refutation not found, incomplete strategy
% 5.40/1.38 % (217977)------------------------------
% 5.40/1.38 % (217977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.38 % (217977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.38 % (217977)CaDiCaL version: 2.1.3
% 5.40/1.38 % (217977)Termination reason: Refutation not found, incomplete strategy
% 5.40/1.38 % (217977)Time elapsed: 0.001 s
% 5.40/1.38 % (217977)Peak memory usage: 11 MB
% 5.40/1.38 % (217977)------------------------------
% 5.40/1.38 % (217977)------------------------------
% 5.40/1.38 % (217935)Instruction limit reached!
% 5.40/1.38 % (217935)------------------------------
% 5.40/1.38 % (217935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.40/1.38 % (217935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.40/1.38 % (217935)CaDiCaL version: 2.1.3
% 5.40/1.38 % (217935)Termination reason: Instruction limit
% 5.40/1.38 % (217935)Termination phase: Saturation
% 6.78/1.51 % (217935)Time elapsed: 0.385 s
% 6.78/1.51 % (217935)Peak memory usage: 13 MB
% 6.78/1.51 % (217935)Instructions burned: 495 (million)
% 6.78/1.51 % (217967)Instruction limit reached!
% 6.78/1.51 % (217967)------------------------------
% 6.78/1.51 % (217967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.51 % (217967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.51 % (217967)CaDiCaL version: 2.1.3
% 6.78/1.51 % (217967)Termination reason: Instruction limit
% 6.78/1.51 % (217967)Termination phase: Saturation
% 6.78/1.51 % (217967)Time elapsed: 0.105 s
% 6.78/1.51 % (217967)Peak memory usage: 12 MB
% 6.78/1.51 % (217967)Instructions burned: 271 (million)
% 6.78/1.51 % (217981)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1676552989:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/232Mi)
% 6.78/1.51 % (217980)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=1904161578:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/136Mi)
% 6.78/1.51 % (217980)Refutation not found, incomplete strategy
% 6.78/1.51 % (217980)------------------------------
% 6.78/1.51 % (217980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.51 % (217980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.51 % (217980)CaDiCaL version: 2.1.3
% 6.78/1.51 % (217980)Termination reason: Refutation not found, incomplete strategy
% 6.78/1.51 % (217980)Time elapsed: 0.001 s
% 6.78/1.51 % (217980)Peak memory usage: 11 MB
% 6.78/1.51 % (217980)Instructions burned: 1 (million)
% 6.78/1.51 % (217980)------------------------------
% 6.78/1.51 % (217980)------------------------------
% 6.78/1.51 % (217981)Refutation not found, incomplete strategy
% 6.78/1.51 % (217981)------------------------------
% 6.78/1.51 % (217981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.51 % (217981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.51 % (217981)CaDiCaL version: 2.1.3
% 6.78/1.51 % (217981)Termination reason: Refutation not found, incomplete strategy
% 6.78/1.51 % (217981)Time elapsed: 0.005 s
% 6.78/1.51 % (217981)Peak memory usage: 11 MB
% 6.78/1.51 % (217981)------------------------------
% 6.78/1.51 % (217981)------------------------------
% 6.78/1.51 % (217982)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=3364099886:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/1254Mi)
% 6.78/1.51 % (217982)Refutation not found, incomplete strategy
% 6.78/1.51 % (217982)------------------------------
% 6.78/1.51 % (217982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.51 % (217982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.51 % (217982)CaDiCaL version: 2.1.3
% 6.78/1.51 % (217982)Termination reason: Refutation not found, incomplete strategy
% 6.78/1.51 % (217982)Time elapsed: 0.003 s
% 6.78/1.51 % (217982)Peak memory usage: 11 MB
% 6.78/1.51 % (217982)Instructions burned: 3 (million)
% 6.78/1.51 % (217982)------------------------------
% 6.78/1.51 % (217982)------------------------------
% 6.78/1.51 % (217985)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.78/1.51 % (217985)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=1519907167:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2989 on theBenchmark for (2989ds/281Mi)
% 6.78/1.51 % (217855)Instruction limit reached!
% 6.78/1.51 % (217855)------------------------------
% 6.78/1.51 % (217855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.51 % (217855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.51 % (217855)CaDiCaL version: 2.1.3
% 6.78/1.51 % (217855)Termination reason: Instruction limit
% 6.78/1.51 % (217855)Termination phase: Saturation
% 6.78/1.51 % (217855)Time elapsed: 0.827 s
% 6.78/1.51 % (217855)Peak memory usage: 13 MB
% 6.78/1.51 % (217855)Instructions burned: 1240 (million)
% 6.78/1.51 % (217974)Instruction limit reached!
% 6.78/1.51 % (217974)------------------------------
% 6.78/1.51 % (217974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.78/1.51 % (217974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.66 % (217974)CaDiCaL version: 2.1.3
% 7.29/1.66 % (217974)Termination reason: Instruction limit
% 7.29/1.66 % (217974)Termination phase: Saturation
% 7.29/1.66 % (217974)Time elapsed: 0.089 s
% 7.29/1.66 % (217974)Peak memory usage: 12 MB
% 7.29/1.66 % (217974)Instructions burned: 113 (million)
% 7.29/1.66 % (217986)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=401429477:i=619:add=on:rtra=on_2989 on theBenchmark for (2989ds/619Mi)
% 7.29/1.66 % (217986)Refutation not found, incomplete strategy
% 7.29/1.66 % (217986)------------------------------
% 7.29/1.66 % (217986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.66 % (217986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.66 % (217986)CaDiCaL version: 2.1.3
% 7.29/1.66 % (217986)Termination reason: Refutation not found, incomplete strategy
% 7.29/1.66 % (217986)Time elapsed: 0.002 s
% 7.29/1.66 % (217986)Peak memory usage: 12 MB
% 7.29/1.66 % (217986)Instructions burned: 2 (million)
% 7.29/1.66 % (217986)------------------------------
% 7.29/1.66 % (217986)------------------------------
% 7.29/1.66 % (217991)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=289346790:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/130Mi)
% 7.29/1.66 % (217991)Refutation not found, incomplete strategy
% 7.29/1.66 % (217991)------------------------------
% 7.29/1.66 % (217991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.66 % (217991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.66 % (217991)CaDiCaL version: 2.1.3
% 7.29/1.66 % (217991)Termination reason: Refutation not found, incomplete strategy
% 7.29/1.66 % (217991)Time elapsed: 0.001 s
% 7.29/1.66 % (217991)Peak memory usage: 11 MB
% 7.29/1.66 % (217991)------------------------------
% 7.29/1.66 % (217991)------------------------------
% 7.29/1.66 % (217988)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=377304769:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/865Mi)
% 7.29/1.66 % (217995)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2840575339:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/152Mi)
% 7.29/1.66 % (217990)lrs+10_1_sil=128000:si=on:urr=on:random_seed=880035228:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/212Mi)
% 7.29/1.66 % (217990)Refutation not found, incomplete strategy
% 7.29/1.66 % (217990)------------------------------
% 7.29/1.66 % (217990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.66 % (217990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.66 % (217990)CaDiCaL version: 2.1.3
% 7.29/1.66 % (217990)Termination reason: Refutation not found, incomplete strategy
% 7.29/1.66 % (217990)Time elapsed: 0.001 s
% 7.29/1.66 % (217990)Peak memory usage: 11 MB
% 7.29/1.66 % (217990)------------------------------
% 7.29/1.66 % (217990)------------------------------
% 7.29/1.66 % (217993)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=916298392:st=1.5:i=346:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/346Mi)
% 7.29/1.66 % (217993)Refutation not found, incomplete strategy
% 7.29/1.66 % (217993)------------------------------
% 7.29/1.66 % (217993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.29/1.66 % (217993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.29/1.66 % (217993)CaDiCaL version: 2.1.3
% 7.29/1.66 % (217993)Termination reason: Refutation not found, incomplete strategy
% 7.29/1.66 % (217993)Time elapsed: 0.001 s
% 7.29/1.66 % (217993)Peak memory usage: 11 MB
% 7.29/1.66 % (217993)Instructions burned: 1 (million)
% 7.29/1.66 % (217993)------------------------------
% 7.29/1.66 % (217993)------------------------------
% 7.29/1.66 % (218000)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2807219493:i=75:ep=R:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/75Mi)
% 7.29/1.66 % (218001)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1442949244:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/387Mi)
% 7.29/1.66 % (218001)Refutation not found, incomplete strategy
% 7.29/1.66 % (218001)------------------------------
% 8.46/1.94 % (218001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.46/1.94 % (218001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/1.94 % (218001)CaDiCaL version: 2.1.3
% 8.46/1.94 % (218001)Termination reason: Refutation not found, incomplete strategy
% 8.46/1.94 % (218001)Time elapsed: 0.001 s
% 8.46/1.94 % (218001)Peak memory usage: 11 MB
% 8.46/1.94 % (218001)Instructions burned: 1 (million)
% 8.46/1.94 % (218001)------------------------------
% 8.46/1.94 % (218001)------------------------------
% 8.46/1.94 % (218004)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=3616609206:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2988 on theBenchmark for (2988ds/148Mi)
% 8.46/1.94 % (218000)Instruction limit reached!
% 8.46/1.94 % (218000)------------------------------
% 8.46/1.94 % (218000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.46/1.94 % (218000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/1.94 % (218000)CaDiCaL version: 2.1.3
% 8.46/1.94 % (218000)Termination reason: Instruction limit
% 8.46/1.94 % (218000)Termination phase: Saturation
% 8.46/1.94 % (218000)Time elapsed: 0.035 s
% 8.46/1.94 % (218000)Peak memory usage: 12 MB
% 8.46/1.94 % (218000)Instructions burned: 76 (million)
% 8.46/1.94 % (217995)Instruction limit reached!
% 8.46/1.94 % (217995)------------------------------
% 8.46/1.94 % (217995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.46/1.94 % (217995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/1.94 % (217995)CaDiCaL version: 2.1.3
% 8.46/1.94 % (217995)Termination reason: Instruction limit
% 8.46/1.94 % (217995)Termination phase: Saturation
% 8.46/1.94 % (217995)Time elapsed: 0.071 s
% 8.46/1.94 % (217995)Peak memory usage: 12 MB
% 8.46/1.94 % (217995)Instructions burned: 153 (million)
% 8.46/1.94 % (218006)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2847892955:i=161:piset=and:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/161Mi)
% 8.46/1.94 % (218007)lrs+10_1_sil=128000:si=on:random_seed=3081361859:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/888Mi)
% 8.46/1.94 % (218007)Refutation not found, incomplete strategy
% 8.46/1.94 % (218007)------------------------------
% 8.46/1.94 % (218007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.46/1.94 % (218007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/1.94 % (218007)CaDiCaL version: 2.1.3
% 8.46/1.94 % (218007)Termination reason: Refutation not found, incomplete strategy
% 8.46/1.94 % (218007)Time elapsed: 0.001 s
% 8.46/1.94 % (218007)Peak memory usage: 11 MB
% 8.46/1.94 % (218007)------------------------------
% 8.46/1.94 % (218007)------------------------------
% 8.46/1.94 % (218010)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=3807647120:i=136:add=on:ins=4:rtra=on:sup=off_2988 on theBenchmark for (2988ds/136Mi)
% 8.46/1.94 % (218004)Instruction limit reached!
% 8.46/1.94 % (218004)------------------------------
% 8.46/1.94 % (218004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.46/1.94 % (218004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/1.94 % (218004)CaDiCaL version: 2.1.3
% 8.46/1.94 % (218004)Termination reason: Instruction limit
% 8.46/1.94 % (218004)Termination phase: Saturation
% 8.46/1.94 % (218004)Time elapsed: 0.066 s
% 8.46/1.94 % (218004)Peak memory usage: 12 MB
% 8.46/1.94 % (218004)Instructions burned: 148 (million)
% 8.46/1.94 % (218012)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=3885724230:i=88:s2at=3:nm=2:rtra=on:rawr=on_2987 on theBenchmark for (2987ds/88Mi)
% 8.46/1.94 % (218006)Instruction limit reached!
% 8.46/1.94 % (218006)------------------------------
% 8.46/1.94 % (218006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.46/1.94 % (218006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.46/1.94 % (218006)CaDiCaL version: 2.1.3
% 8.46/1.94 % (218006)Termination reason: Instruction limit
% 8.46/1.94 % (218006)Termination phase: Saturation
% 8.46/1.94 % (218006)Time elapsed: 0.058 s
% 8.46/1.94 % (218006)Peak memory usage: 12 MB
% 8.46/1.94 % (218006)Instructions burned: 161 (million)
% 8.46/1.94 % (218014)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2700408031:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2987 on theBenchmark for (2987ds/93Mi)
% 11.67/2.10 % (218010)Instruction limit reached!
% 11.67/2.10 % (218010)------------------------------
% 11.67/2.10 % (218010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.10 % (218010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.10 % (218010)CaDiCaL version: 2.1.3
% 11.67/2.10 % (218010)Termination reason: Instruction limit
% 11.67/2.10 % (218010)Termination phase: Saturation
% 11.67/2.10 % (218010)Time elapsed: 0.065 s
% 11.67/2.10 % (218010)Peak memory usage: 12 MB
% 11.67/2.10 % (218010)Instructions burned: 138 (million)
% 11.67/2.10 % (218012)Instruction limit reached!
% 11.67/2.10 % (218012)------------------------------
% 11.67/2.10 % (218012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.10 % (218012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.10 % (218012)CaDiCaL version: 2.1.3
% 11.67/2.10 % (218012)Termination reason: Instruction limit
% 11.67/2.10 % (218012)Termination phase: Saturation
% 11.67/2.10 % (218012)Time elapsed: 0.039 s
% 11.67/2.10 % (218012)Peak memory usage: 12 MB
% 11.67/2.10 % (218012)Instructions burned: 90 (million)
% 11.67/2.10 % (218016)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=424361247:i=2186:rtra=on:ixr=off_2987 on theBenchmark for (2987ds/2186Mi)
% 11.67/2.10 % (217985)Instruction limit reached!
% 11.67/2.10 % (217985)------------------------------
% 11.67/2.10 % (217985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.10 % (217985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.10 % (217985)CaDiCaL version: 2.1.3
% 11.67/2.10 % (217985)Termination reason: Instruction limit
% 11.67/2.10 % (217985)Termination phase: Saturation
% 11.67/2.10 % (217985)Time elapsed: 0.245 s
% 11.67/2.10 % (217985)Peak memory usage: 13 MB
% 11.67/2.10 % (217985)Instructions burned: 281 (million)
% 11.67/2.10 % (218017)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2032158305:s2a=on:i=240:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/240Mi)
% 11.67/2.10 % (218014)Instruction limit reached!
% 11.67/2.10 % (218014)------------------------------
% 11.67/2.10 % (218014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.10 % (218014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.10 % (218014)CaDiCaL version: 2.1.3
% 11.67/2.10 % (218014)Termination reason: Instruction limit
% 11.67/2.10 % (218014)Termination phase: Saturation
% 11.67/2.10 % (218014)Time elapsed: 0.047 s
% 11.67/2.10 % (218014)Peak memory usage: 12 MB
% 11.67/2.10 % (218014)Instructions burned: 93 (million)
% 11.67/2.10 % (218019)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=1302262012:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/805Mi)
% 11.67/2.10 % (218021)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 11.67/2.10 % (218021)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=492316355:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2986 on theBenchmark for (2986ds/391Mi)
% 11.67/2.10 % (218021)Refutation not found, incomplete strategy
% 11.67/2.10 % (218021)------------------------------
% 11.67/2.10 % (218021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.10 % (218021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.67/2.10 % (218021)CaDiCaL version: 2.1.3
% 11.67/2.10 % (218021)Termination reason: Refutation not found, incomplete strategy
% 11.67/2.10 % (218021)Time elapsed: 0.001 s
% 11.67/2.10 % (218021)Peak memory usage: 11 MB
% 11.67/2.10 % (218021)Instructions burned: 1 (million)
% 11.67/2.10 % (218021)------------------------------
% 11.67/2.10 % (218021)------------------------------
% 11.67/2.10 % (218024)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2611011538:i=355:av=off:fsr=off:rtra=on:ixr=off_2986 on theBenchmark for (2986ds/355Mi)
% 11.67/2.10 % (217970)Instruction limit reached!
% 11.67/2.10 % (217970)------------------------------
% 11.67/2.10 % (217970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.67/2.10 % (217970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.20 % (217970)CaDiCaL version: 2.1.3
% 12.53/2.20 % (217970)Termination reason: Instruction limit
% 12.53/2.20 % (217970)Termination phase: Saturation
% 12.53/2.20 % (217970)Time elapsed: 0.481 s
% 12.53/2.20 % (217970)Peak memory usage: 12 MB
% 12.53/2.20 % (217970)Instructions burned: 1442 (million)
% 12.53/2.20 % (218017)Instruction limit reached!
% 12.53/2.20 % (218017)------------------------------
% 12.53/2.20 % (218017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.53/2.20 % (218017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.20 % (218017)CaDiCaL version: 2.1.3
% 12.53/2.20 % (218017)Termination reason: Instruction limit
% 12.53/2.20 % (218017)Termination phase: Saturation
% 12.53/2.20 % (218017)Time elapsed: 0.129 s
% 12.53/2.20 % (218017)Peak memory usage: 13 MB
% 12.53/2.20 % (218017)Instructions burned: 241 (million)
% 12.53/2.20 % (218026)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=2057975734:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/314Mi)
% 12.53/2.20 % (218026)Refutation not found, incomplete strategy
% 12.53/2.20 % (218026)------------------------------
% 12.53/2.20 % (218026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.53/2.20 % (218026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.20 % (218026)CaDiCaL version: 2.1.3
% 12.53/2.20 % (218026)Termination reason: Refutation not found, incomplete strategy
% 12.53/2.20 % (218026)Time elapsed: 0.001 s
% 12.53/2.20 % (218026)Peak memory usage: 11 MB
% 12.53/2.20 % (218026)------------------------------
% 12.53/2.20 % (218026)------------------------------
% 12.53/2.20 % (218027)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=739998937:s2a=on:i=251:fsr=off:rtra=on_2985 on theBenchmark for (2985ds/251Mi)
% 12.53/2.20 % (218029)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=4093559111:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2985 on theBenchmark for (2985ds/2470Mi)
% 12.53/2.20 % (218024)Instruction limit reached!
% 12.53/2.20 % (218024)------------------------------
% 12.53/2.20 % (218024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.53/2.20 % (218024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.20 % (218024)CaDiCaL version: 2.1.3
% 12.53/2.20 % (218024)Termination reason: Instruction limit
% 12.53/2.20 % (218024)Termination phase: Saturation
% 12.53/2.20 % (218024)Time elapsed: 0.156 s
% 12.53/2.20 % (218024)Peak memory usage: 12 MB
% 12.53/2.20 % (218024)Instructions burned: 357 (million)
% 12.53/2.20 % (218032)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=1308723831:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2985 on theBenchmark for (2985ds/673Mi)
% 12.53/2.20 % (218019)Instruction limit reached!
% 12.53/2.20 % (218019)------------------------------
% 12.53/2.20 % (218019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.53/2.20 % (218019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.20 % (218019)CaDiCaL version: 2.1.3
% 12.53/2.20 % (218019)Termination reason: Instruction limit
% 12.53/2.20 % (218019)Termination phase: Saturation
% 12.53/2.20 % (218019)Time elapsed: 0.328 s
% 12.53/2.20 % (218019)Peak memory usage: 14 MB
% 12.53/2.20 % (218019)Instructions burned: 806 (million)
% 12.53/2.20 % (218034)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3612976759:i=116:ep=RSTC:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/116Mi)
% 12.53/2.20 % (218027)Instruction limit reached!
% 12.53/2.20 % (218027)------------------------------
% 12.53/2.20 % (218027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.53/2.20 % (218027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.20 % (218027)CaDiCaL version: 2.1.3
% 12.53/2.20 % (218027)Termination reason: Instruction limit
% 12.53/2.20 % (218027)Termination phase: Saturation
% 12.53/2.20 % (218027)Time elapsed: 0.200 s
% 12.53/2.20 % (218027)Peak memory usage: 12 MB
% 12.53/2.20 % (218027)Instructions burned: 252 (million)
% 12.53/2.20 % (218036)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1030283030:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2983 on theBenchmark for (2983ds/270Mi)
% 13.61/2.43 % (218034)Instruction limit reached!
% 13.61/2.43 % (218034)------------------------------
% 13.61/2.43 % (218034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.43 % (218034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.43 % (218034)CaDiCaL version: 2.1.3
% 13.61/2.43 % (218034)Termination reason: Instruction limit
% 13.61/2.43 % (218034)Termination phase: Saturation
% 13.61/2.43 % (218034)Time elapsed: 0.051 s
% 13.61/2.43 % (218034)Peak memory usage: 12 MB
% 13.61/2.43 % (218034)Instructions burned: 119 (million)
% 13.61/2.43 % (218039)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=3565913107: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_2982 on theBenchmark for (2982ds/30Mi)
% 13.61/2.43 % (218039)Instruction limit reached!
% 13.61/2.43 % (218039)------------------------------
% 13.61/2.43 % (218039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.43 % (218039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.43 % (218039)CaDiCaL version: 2.1.3
% 13.61/2.43 % (218039)Termination reason: Instruction limit
% 13.61/2.43 % (218039)Termination phase: Saturation
% 13.61/2.43 % (218039)Time elapsed: 0.015 s
% 13.61/2.43 % (218039)Peak memory usage: 12 MB
% 13.61/2.43 % (218039)Instructions burned: 32 (million)
% 13.61/2.43 % (218041)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 13.61/2.43 % (217988)Instruction limit reached!
% 13.61/2.43 % (217988)------------------------------
% 13.61/2.43 % (217988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.43 % (217988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.43 % (217988)CaDiCaL version: 2.1.3
% 13.61/2.43 % (217988)Termination reason: Instruction limit
% 13.61/2.43 % (217988)Termination phase: Saturation
% 13.61/2.43 % (217988)Time elapsed: 0.672 s
% 13.61/2.43 % (217988)Peak memory usage: 14 MB
% 13.61/2.43 % (217988)Instructions burned: 865 (million)
% 13.61/2.43 % (218041)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=894024552:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2982 on theBenchmark for (2982ds/39Mi)
% 13.61/2.43 % (218032)Instruction limit reached!
% 13.61/2.43 % (218032)------------------------------
% 13.61/2.43 % (218032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.43 % (218032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.43 % (218032)CaDiCaL version: 2.1.3
% 13.61/2.43 % (218032)Termination reason: Instruction limit
% 13.61/2.43 % (218032)Termination phase: Saturation
% 13.61/2.43 % (218032)Time elapsed: 0.255 s
% 13.61/2.43 % (218032)Peak memory usage: 13 MB
% 13.61/2.43 % (218032)Instructions burned: 675 (million)
% 13.61/2.43 % (218041)Instruction limit reached!
% 13.61/2.43 % (218041)------------------------------
% 13.61/2.43 % (218041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.61/2.43 % (218041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.61/2.43 % (218041)CaDiCaL version: 2.1.3
% 13.61/2.43 % (218041)Termination reason: Instruction limit
% 13.61/2.43 % (218041)Termination phase: Saturation
% 13.61/2.43 % (218041)Time elapsed: 0.021 s
% 13.61/2.43 % (218041)Peak memory usage: 12 MB
% 13.61/2.43 % (218041)Instructions burned: 40 (million)
% 13.61/2.43 % (218044)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4294689468:i=158:av=off:rtra=on_2982 on theBenchmark for (2982ds/158Mi)
% 13.61/2.43 % (218042)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=633907312:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2982 on theBenchmark for (2982ds/365Mi)
% 13.61/2.43 % (218045)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 13.61/2.43 % (218045)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=3943732589:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/252Mi)
% 13.61/2.43 % (218036)Instruction limit reached!
% 13.61/2.43 % (218036)------------------------------
% 14.71/2.50 % (218036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.50 % (218036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.50 % (218036)CaDiCaL version: 2.1.3
% 14.71/2.50 % (218036)Termination reason: Instruction limit
% 14.71/2.50 % (218036)Termination phase: Saturation
% 14.71/2.50 % (218036)Time elapsed: 0.168 s
% 14.71/2.50 % (218036)Peak memory usage: 12 MB
% 14.71/2.50 % (218036)Instructions burned: 271 (million)
% 14.71/2.50 % (218044)Instruction limit reached!
% 14.71/2.50 % (218044)------------------------------
% 14.71/2.50 % (218044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.50 % (218044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.50 % (218044)CaDiCaL version: 2.1.3
% 14.71/2.50 % (218044)Termination reason: Instruction limit
% 14.71/2.50 % (218044)Termination phase: Saturation
% 14.71/2.50 % (218044)Time elapsed: 0.074 s
% 14.71/2.50 % (218044)Peak memory usage: 12 MB
% 14.71/2.50 % (218044)Instructions burned: 160 (million)
% 14.71/2.50 % (218049)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1532021581:i=213:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/213Mi)
% 14.71/2.50 % (218049)Refutation not found, incomplete strategy
% 14.71/2.50 % (218049)------------------------------
% 14.71/2.50 % (218049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.50 % (218049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.50 % (218049)CaDiCaL version: 2.1.3
% 14.71/2.50 % (218049)Termination reason: Refutation not found, incomplete strategy
% 14.71/2.50 % (218049)Time elapsed: 0.001 s
% 14.71/2.50 % (218049)Peak memory usage: 11 MB
% 14.71/2.50 % (218049)------------------------------
% 14.71/2.50 % (218049)------------------------------
% 14.71/2.50 % (218052)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1328238891:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/763Mi)
% 14.71/2.50 % (218050)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=172997990:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/160Mi)
% 14.71/2.50 % (218050)Refutation not found, incomplete strategy
% 14.71/2.50 % (218050)------------------------------
% 14.71/2.50 % (218050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.50 % (218050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.50 % (218050)CaDiCaL version: 2.1.3
% 14.71/2.50 % (218050)Termination reason: Refutation not found, incomplete strategy
% 14.71/2.50 % (218050)Time elapsed: 0.001 s
% 14.71/2.50 % (218050)Peak memory usage: 11 MB
% 14.71/2.50 % (218050)------------------------------
% 14.71/2.50 % (218050)------------------------------
% 14.71/2.50 % (218045)Instruction limit reached!
% 14.71/2.50 % (218045)------------------------------
% 14.71/2.50 % (218045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.50 % (218045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.50 % (218045)CaDiCaL version: 2.1.3
% 14.71/2.50 % (218045)Termination reason: Instruction limit
% 14.71/2.50 % (218045)Termination phase: Saturation
% 14.71/2.50 % (218045)Time elapsed: 0.118 s
% 14.71/2.50 % (218045)Peak memory usage: 12 MB
% 14.71/2.50 % (218045)Instructions burned: 254 (million)
% 14.71/2.50 % (218056)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=547969468:s2a=on:i=386:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/386Mi)
% 14.71/2.50 % (218055)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 14.71/2.50 % (218055)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=3781629547:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2980 on theBenchmark for (2980ds/237Mi)
% 14.71/2.50 % (218055)Refutation not found, incomplete strategy
% 14.71/2.50 % (218055)------------------------------
% 14.71/2.50 % (218055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.50 % (218055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.50 % (218055)CaDiCaL version: 2.1.3
% 14.71/2.50 % (218055)Termination reason: Refutation not found, incomplete strategy
% 14.71/2.58 % (218055)Time elapsed: 0.0000 s
% 14.71/2.58 % (218055)Peak memory usage: 11 MB
% 14.71/2.58 % (218055)------------------------------
% 14.71/2.58 % (218055)------------------------------
% 14.71/2.58 % (218042)Instruction limit reached!
% 14.71/2.58 % (218042)------------------------------
% 14.71/2.58 % (218042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.58 % (218042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.58 % (218042)CaDiCaL version: 2.1.3
% 14.71/2.58 % (218042)Termination reason: Instruction limit
% 14.71/2.58 % (218042)Termination phase: Saturation
% 14.71/2.58 % (218042)Time elapsed: 0.161 s
% 14.71/2.58 % (218042)Peak memory usage: 13 MB
% 14.71/2.58 % (218042)Instructions burned: 365 (million)
% 14.71/2.58 % (218059)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=999447174:i=300:piset=and:nm=32:rtra=on_2980 on theBenchmark for (2980ds/300Mi)
% 14.71/2.58 % (218060)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=236129305:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/567Mi)
% 14.71/2.58 % (218060)Refutation not found, incomplete strategy
% 14.71/2.58 % (218060)------------------------------
% 14.71/2.58 % (218060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.58 % (218060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.58 % (218060)CaDiCaL version: 2.1.3
% 14.71/2.58 % (218060)Termination reason: Refutation not found, incomplete strategy
% 14.71/2.58 % (218060)Time elapsed: 0.001 s
% 14.71/2.58 % (218060)Peak memory usage: 11 MB
% 14.71/2.58 % (218060)Instructions burned: 1 (million)
% 14.71/2.58 % (218060)------------------------------
% 14.71/2.58 % (218060)------------------------------
% 14.71/2.58 % (218063)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1824436277:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2980 on theBenchmark for (2980ds/379Mi)
% 14.71/2.58 % (218063)Refutation not found, incomplete strategy
% 14.71/2.58 % (218063)------------------------------
% 14.71/2.58 % (218063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.58 % (218063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.58 % (218063)CaDiCaL version: 2.1.3
% 14.71/2.58 % (218063)Termination reason: Refutation not found, incomplete strategy
% 14.71/2.58 % (218063)Time elapsed: 0.001 s
% 14.71/2.58 % (218063)Peak memory usage: 11 MB
% 14.71/2.58 % (218063)------------------------------
% 14.71/2.58 % (218063)------------------------------
% 14.71/2.58 % (218065)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=507398578:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2980 on theBenchmark for (2980ds/429Mi)
% 14.71/2.58 % (218056)Instruction limit reached!
% 14.71/2.58 % (218056)------------------------------
% 14.71/2.58 % (218056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.58 % (218056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.58 % (218056)CaDiCaL version: 2.1.3
% 14.71/2.58 % (218056)Termination reason: Instruction limit
% 14.71/2.58 % (218056)Termination phase: Saturation
% 14.71/2.58 % (218056)Time elapsed: 0.178 s
% 14.71/2.58 % (218056)Peak memory usage: 12 MB
% 14.71/2.58 % (218056)Instructions burned: 388 (million)
% 14.71/2.58 % (218067)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=659715748:i=478:bd=all:rtra=on_2978 on theBenchmark for (2978ds/478Mi)
% 14.71/2.58 % (218067)Refutation not found, incomplete strategy
% 14.71/2.58 % (218067)------------------------------
% 14.71/2.58 % (218067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.71/2.58 % (218067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.71/2.58 % (218067)CaDiCaL version: 2.1.3
% 14.71/2.58 % (218067)Termination reason: Refutation not found, incomplete strategy
% 14.71/2.58 % (218067)Time elapsed: 0.001 s
% 14.71/2.58 % (218067)Peak memory usage: 11 MB
% 14.71/2.58 % (218067)Instructions burned: 1 (million)
% 14.71/2.58 % (218067)------------------------------
% 14.71/2.58 % (218067)------------------------------
% 14.71/2.58 % (218069)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1598405000:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2978 on theBenchmark for (2978ds/445Mi)
% 14.71/2.58 % (218052)Instruction limit reached!
% 14.71/2.58 % (218052)------------------------------
% 14.71/2.58 % (218052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.69 % (218052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.69 % (218052)CaDiCaL version: 2.1.3
% 15.30/2.69 % (218052)Termination reason: Instruction limit
% 15.30/2.69 % (218052)Termination phase: Saturation
% 15.30/2.69 % (218052)Time elapsed: 0.275 s
% 15.30/2.69 % (218052)Peak memory usage: 13 MB
% 15.30/2.69 % (218052)Instructions burned: 764 (million)
% 15.30/2.69 % (218059)Instruction limit reached!
% 15.30/2.69 % (218059)------------------------------
% 15.30/2.69 % (218059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.69 % (218059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.69 % (218059)CaDiCaL version: 2.1.3
% 15.30/2.69 % (218059)Termination reason: Instruction limit
% 15.30/2.69 % (218059)Termination phase: Saturation
% 15.30/2.69 % (218059)Time elapsed: 0.213 s
% 15.30/2.69 % (218059)Peak memory usage: 12 MB
% 15.30/2.69 % (218059)Instructions burned: 301 (million)
% 15.30/2.69 % (218071)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=2623244278:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/71Mi)
% 15.30/2.69 % (218072)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=254023984:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/302Mi)
% 15.30/2.69 % (218072)Refutation not found, incomplete strategy
% 15.30/2.69 % (218072)------------------------------
% 15.30/2.69 % (218072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.69 % (218072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.69 % (218072)CaDiCaL version: 2.1.3
% 15.30/2.69 % (218072)Termination reason: Refutation not found, incomplete strategy
% 15.30/2.69 % (218072)Time elapsed: 0.001 s
% 15.30/2.69 % (218072)Peak memory usage: 11 MB
% 15.30/2.69 % (218072)------------------------------
% 15.30/2.69 % (218072)------------------------------
% 15.30/2.69 % (218065)Instruction limit reached!
% 15.30/2.69 % (218065)------------------------------
% 15.30/2.69 % (218065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.69 % (218065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.69 % (218065)CaDiCaL version: 2.1.3
% 15.30/2.69 % (218065)Termination reason: Instruction limit
% 15.30/2.69 % (218065)Termination phase: Saturation
% 15.30/2.69 % (218065)Time elapsed: 0.203 s
% 15.30/2.69 % (218065)Peak memory usage: 12 MB
% 15.30/2.69 % (218065)Instructions burned: 430 (million)
% 15.30/2.69 % (218075)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=1437810638:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/4980Mi)
% 15.30/2.69 % (218075)Refutation not found, incomplete strategy
% 15.30/2.69 % (218075)------------------------------
% 15.30/2.69 % (218075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.69 % (218075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.69 % (218075)CaDiCaL version: 2.1.3
% 15.30/2.69 % (218075)Termination reason: Refutation not found, incomplete strategy
% 15.30/2.69 % (218075)Time elapsed: 0.001 s
% 15.30/2.69 % (218075)Peak memory usage: 11 MB
% 15.30/2.69 % (218075)------------------------------
% 15.30/2.69 % (218075)------------------------------
% 15.30/2.69 % (218076)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
% 15.30/2.69 % (218076)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 15.30/2.69 % (218076)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=833643699:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2977 on theBenchmark for (2977ds/100Mi)
% 15.30/2.69 % (218078)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=2129214474:i=76:piset=equals:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/76Mi)
% 15.30/2.69 % (218071)Instruction limit reached!
% 15.30/2.69 % (218071)------------------------------
% 15.30/2.69 % (218071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.30/2.69 % (218071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.30/2.69 % (218071)CaDiCaL version: 2.1.3
% 15.91/2.88 % (218071)Termination reason: Instruction limit
% 15.91/2.88 % (218071)Termination phase: Saturation
% 15.91/2.88 % (218071)Time elapsed: 0.055 s
% 15.91/2.88 % (218071)Peak memory usage: 12 MB
% 15.91/2.88 % (218071)Instructions burned: 72 (million)
% 15.91/2.88 % (218081)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=3174759526:i=289:rtra=on_2977 on theBenchmark for (2977ds/289Mi)
% 15.91/2.88 % (218081)Refutation not found, incomplete strategy
% 15.91/2.88 % (218081)------------------------------
% 15.91/2.88 % (218081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.91/2.88 % (218081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/2.88 % (218081)CaDiCaL version: 2.1.3
% 15.91/2.88 % (218081)Termination reason: Refutation not found, incomplete strategy
% 15.91/2.88 % (218081)Time elapsed: 0.001 s
% 15.91/2.88 % (218081)Peak memory usage: 12 MB
% 15.91/2.88 % (218081)Instructions burned: 1 (million)
% 15.91/2.88 % (218081)------------------------------
% 15.91/2.88 % (218081)------------------------------
% 15.91/2.88 % (218078)Instruction limit reached!
% 15.91/2.88 % (218078)------------------------------
% 15.91/2.88 % (218078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.91/2.88 % (218078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/2.88 % (218078)CaDiCaL version: 2.1.3
% 15.91/2.88 % (218078)Termination reason: Instruction limit
% 15.91/2.88 % (218078)Termination phase: Saturation
% 15.91/2.88 % (218078)Time elapsed: 0.037 s
% 15.91/2.88 % (218078)Peak memory usage: 12 MB
% 15.91/2.88 % (218078)Instructions burned: 77 (million)
% 15.91/2.88 % (218076)Instruction limit reached!
% 15.91/2.88 % (218076)------------------------------
% 15.91/2.88 % (218076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.91/2.88 % (218076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/2.88 % (218076)CaDiCaL version: 2.1.3
% 15.91/2.88 % (218076)Termination reason: Instruction limit
% 15.91/2.88 % (218076)Termination phase: Saturation
% 15.91/2.88 % (218076)Time elapsed: 0.045 s
% 15.91/2.88 % (218076)Peak memory usage: 12 MB
% 15.91/2.88 % (218076)Instructions burned: 102 (million)
% 15.91/2.88 % (218083)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=2120438385:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2977 on theBenchmark for (2977ds/493Mi)
% 15.91/2.88 % (218085)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 15.91/2.88 % (218016)Instruction limit reached!
% 15.91/2.88 % (218016)------------------------------
% 15.91/2.88 % (218016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.91/2.88 % (218016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/2.88 % (218016)CaDiCaL version: 2.1.3
% 15.91/2.88 % (218085)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=843219895:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2977 on theBenchmark for (2977ds/372Mi)
% 15.91/2.88 % (218016)Termination reason: Instruction limit
% 15.91/2.88 % (218016)Termination phase: Saturation
% 15.91/2.88 % (218016)Time elapsed: 1.020 s
% 15.91/2.88 % (218016)Peak memory usage: 13 MB
% 15.91/2.88 % (218016)Instructions burned: 2189 (million)
% 15.91/2.88 % (218084)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=2026982960:cond=on:i=34:hud=10:nm=10:rtra=on_2977 on theBenchmark for (2977ds/34Mi)
% 15.91/2.88 % (218085)Refutation not found, incomplete strategy
% 15.91/2.88 % (218085)------------------------------
% 15.91/2.88 % (218085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.91/2.88 % (218085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.91/2.88 % (218085)CaDiCaL version: 2.1.3
% 15.91/2.88 % (218085)Termination reason: Refutation not found, incomplete strategy
% 15.91/2.88 % (218085)Time elapsed: 0.002 s
% 15.91/2.88 % (218085)Peak memory usage: 12 MB
% 15.91/2.88 % (218085)Instructions burned: 2 (million)
% 15.91/2.88 % (218085)------------------------------
% 15.91/2.88 % (218085)------------------------------
% 15.91/2.88 % (218088)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=2372162088:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2976 on theBenchmark for (2976ds/670Mi)
% 16.63/2.99 % (218090)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3512269173:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/647Mi)
% 16.63/2.99 % (218090)Refutation not found, incomplete strategy
% 16.63/2.99 % (218090)------------------------------
% 16.63/2.99 % (218090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.63/2.99 % (218090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.63/2.99 % (218090)CaDiCaL version: 2.1.3
% 16.63/2.99 % (218090)Termination reason: Refutation not found, incomplete strategy
% 16.63/2.99 % (218090)Time elapsed: 0.0000 s
% 16.63/2.99 % (218090)Peak memory usage: 11 MB
% 16.63/2.99 % (218090)------------------------------
% 16.63/2.99 % (218090)------------------------------
% 16.63/2.99 % (218084)Instruction limit reached!
% 16.63/2.99 % (218084)------------------------------
% 16.63/2.99 % (218084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.63/2.99 % (218084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.63/2.99 % (218084)CaDiCaL version: 2.1.3
% 16.63/2.99 % (218084)Termination reason: Instruction limit
% 16.63/2.99 % (218084)Termination phase: Saturation
% 16.63/2.99 % (218084)Time elapsed: 0.024 s
% 16.63/2.99 % (218084)Peak memory usage: 12 MB
% 16.63/2.99 % (218084)Instructions burned: 34 (million)
% 16.63/2.99 % (218093)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=1546403814:i=857:add=off:kws=frequency:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/857Mi)
% 16.63/2.99 % (218029)Instruction limit reached!
% 16.63/2.99 % (218029)------------------------------
% 16.63/2.99 % (218029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.63/2.99 % (218029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.63/2.99 % (218029)CaDiCaL version: 2.1.3
% 16.63/2.99 % (218029)Termination reason: Instruction limit
% 16.63/2.99 % (218029)Termination phase: Saturation
% 16.63/2.99 % (218029)Time elapsed: 0.883 s
% 16.63/2.99 % (218029)Peak memory usage: 17 MB
% 16.63/2.99 % (218029)Instructions burned: 2471 (million)
% 16.63/2.99 % (218094)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=990526890:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2976 on theBenchmark for (2976ds/693Mi)
% 16.63/2.99 % (218097)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1921927424:i=285:hud=10:bd=all:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/285Mi)
% 16.63/2.99 % (218097)Refutation not found, incomplete strategy
% 16.63/2.99 % (218097)------------------------------
% 16.63/2.99 % (218097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.63/2.99 % (218097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.63/2.99 % (218097)CaDiCaL version: 2.1.3
% 16.63/2.99 % (218097)Termination reason: Refutation not found, incomplete strategy
% 16.63/2.99 % (218097)Time elapsed: 0.006 s
% 16.63/2.99 % (218097)Peak memory usage: 11 MB
% 16.63/2.99 % (218097)Instructions burned: 1 (million)
% 16.63/2.99 % (218097)------------------------------
% 16.63/2.99 % (218097)------------------------------
% 16.63/2.99 % (218069)Instruction limit reached!
% 16.63/2.99 % (218069)------------------------------
% 16.63/2.99 % (218069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.63/2.99 % (218069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.63/2.99 % (218069)CaDiCaL version: 2.1.3
% 16.63/2.99 % (218069)Termination reason: Instruction limit
% 16.63/2.99 % (218069)Termination phase: Saturation
% 16.63/2.99 % (218069)Time elapsed: 0.243 s
% 16.63/2.99 % (218069)Peak memory usage: 14 MB
% 16.63/2.99 % (218069)Instructions burned: 446 (million)
% 16.63/2.99 % (218102)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 16.63/2.99 % (218103)dis+10_1_si=on:random_seed=1126008287:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2975 on theBenchmark for (2975ds/407Mi)
% 16.63/2.99 % (218103)Refutation not found, incomplete strategy
% 16.63/2.99 % (218103)------------------------------
% 16.63/2.99 % (218103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.63/2.99 % (218103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.32/3.22 % (218103)CaDiCaL version: 2.1.3
% 19.32/3.22 % (218103)Termination reason: Refutation not found, incomplete strategy
% 19.32/3.22 % (218103)Time elapsed: 0.001 s
% 19.32/3.22 % (218103)Peak memory usage: 11 MB
% 19.32/3.22 % (218103)------------------------------
% 19.32/3.22 % (218103)------------------------------
% 19.32/3.22 % (218102)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=867643976:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2975 on theBenchmark for (2975ds/52Mi)
% 19.32/3.22 % (218106)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=3105319857:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/2240Mi)
% 19.32/3.22 % (218102)Instruction limit reached!
% 19.32/3.22 % (218102)------------------------------
% 19.32/3.22 % (218102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.32/3.22 % (218102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.32/3.22 % (218102)CaDiCaL version: 2.1.3
% 19.32/3.22 % (218102)Termination reason: Instruction limit
% 19.32/3.22 % (218102)Termination phase: Saturation
% 19.32/3.22 % (218102)Time elapsed: 0.036 s
% 19.32/3.22 % (218102)Peak memory usage: 12 MB
% 19.32/3.22 % (218102)Instructions burned: 53 (million)
% 19.32/3.22 % (218109)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3334907407:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/336Mi)
% 19.32/3.22 % (218109)Refutation not found, incomplete strategy
% 19.32/3.22 % (218109)------------------------------
% 19.32/3.22 % (218109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.32/3.22 % (218109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.32/3.22 % (218109)CaDiCaL version: 2.1.3
% 19.32/3.22 % (218109)Termination reason: Refutation not found, incomplete strategy
% 19.32/3.22 % (218109)Time elapsed: 0.001 s
% 19.32/3.22 % (218109)Peak memory usage: 11 MB
% 19.32/3.22 % (218109)------------------------------
% 19.32/3.22 % (218109)------------------------------
% 19.32/3.22 % (218111)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=4274049429:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2974 on theBenchmark for (2974ds/1142Mi)
% 19.32/3.22 % (218083)Instruction limit reached!
% 19.32/3.22 % (218083)------------------------------
% 19.32/3.22 % (218083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.32/3.22 % (218083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.32/3.22 % (218083)CaDiCaL version: 2.1.3
% 19.32/3.22 % (218083)Termination reason: Instruction limit
% 19.32/3.22 % (218083)Termination phase: Saturation
% 19.32/3.22 % (218083)Time elapsed: 0.273 s
% 19.32/3.22 % (218083)Peak memory usage: 13 MB
% 19.32/3.22 % (218083)Instructions burned: 494 (million)
% 19.32/3.22 % (218113)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1761074493:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/376Mi)
% 19.32/3.22 % (218113)Refutation not found, incomplete strategy
% 19.32/3.22 % (218113)------------------------------
% 19.32/3.22 % (218113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.32/3.22 % (218113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.32/3.22 % (218113)CaDiCaL version: 2.1.3
% 19.32/3.22 % (218113)Termination reason: Refutation not found, incomplete strategy
% 19.32/3.22 % (218113)Time elapsed: 0.005 s
% 19.32/3.22 % (218113)Peak memory usage: 11 MB
% 19.32/3.22 % (218113)------------------------------
% 19.32/3.22 % (218113)------------------------------
% 19.32/3.22 % (218115)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=964936647:i=766:bd=all:rtra=on_2973 on theBenchmark for (2973ds/766Mi)
% 19.32/3.22 % (218115)Refutation not found, incomplete strategy
% 19.32/3.22 % (218115)------------------------------
% 19.32/3.22 % (218115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.32/3.22 % (218115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.32/3.22 % (218115)CaDiCaL version: 2.1.3
% 19.32/3.22 % (218115)Termination reason: Refutation not found, incomplete strategy
% 19.32/3.22 % (218115)Time elapsed: 0.001 s
% 19.32/3.22 % (218115)Peak memory usage: 12 MB
% 19.32/3.22 % (218115)Instructions burned: 1 (million)
% 20.22/3.37 % (218115)------------------------------
% 20.22/3.37 % (218115)------------------------------
% 20.22/3.37 % (218094)Instruction limit reached!
% 20.22/3.37 % (218094)------------------------------
% 20.22/3.37 % (218094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.37 % (218094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.37 % (218094)CaDiCaL version: 2.1.3
% 20.22/3.37 % (218094)Termination reason: Instruction limit
% 20.22/3.37 % (218094)Termination phase: Saturation
% 20.22/3.37 % (218094)Time elapsed: 0.282 s
% 20.22/3.37 % (218094)Peak memory usage: 12 MB
% 20.22/3.37 % (218094)Instructions burned: 694 (million)
% 20.22/3.37 % (218088)Instruction limit reached!
% 20.22/3.37 % (218088)------------------------------
% 20.22/3.37 % (218088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.37 % (218088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.37 % (218088)CaDiCaL version: 2.1.3
% 20.22/3.37 % (218088)Termination reason: Instruction limit
% 20.22/3.37 % (218088)Termination phase: Saturation
% 20.22/3.37 % (218088)Time elapsed: 0.321 s
% 20.22/3.37 % (218088)Peak memory usage: 12 MB
% 20.22/3.37 % (218088)Instructions burned: 671 (million)
% 20.22/3.37 % (218117)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 20.22/3.37 % (218119)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3250031171:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2973 on theBenchmark for (2973ds/35Mi)
% 20.22/3.37 % (218119)Refutation not found, incomplete strategy
% 20.22/3.37 % (218119)------------------------------
% 20.22/3.37 % (218119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.37 % (218119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.37 % (218119)CaDiCaL version: 2.1.3
% 20.22/3.37 % (218119)Termination reason: Refutation not found, incomplete strategy
% 20.22/3.37 % (218119)Time elapsed: 0.001 s
% 20.22/3.37 % (218119)Peak memory usage: 11 MB
% 20.22/3.37 % (218117)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=3646490126: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_2973 on theBenchmark for (2973ds/959Mi)
% 20.22/3.37 % (218119)------------------------------
% 20.22/3.37 % (218119)------------------------------
% 20.22/3.37 % (218117)Refutation not found, incomplete strategy
% 20.22/3.37 % (218117)------------------------------
% 20.22/3.37 % (218117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.37 % (218117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.37 % (218117)CaDiCaL version: 2.1.3
% 20.22/3.37 % (218117)Termination reason: Refutation not found, incomplete strategy
% 20.22/3.37 % (218117)Time elapsed: 0.001 s
% 20.22/3.37 % (218117)Peak memory usage: 11 MB
% 20.22/3.37 % (218117)------------------------------
% 20.22/3.37 % (218117)------------------------------
% 20.22/3.37 % (218118)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=1243068175:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2973 on theBenchmark for (2973ds/6359Mi)
% 20.22/3.37 % (218122)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=3859022537:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2973 on theBenchmark for (2973ds/53Mi)
% 20.22/3.37 % (218123)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=355464934:s2a=on:i=876:s2at=6:nm=2:rtra=on_2973 on theBenchmark for (2973ds/876Mi)
% 20.22/3.37 % (218122)Instruction limit reached!
% 20.22/3.37 % (218122)------------------------------
% 20.22/3.37 % (218122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.22/3.37 % (218122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.22/3.37 % (218122)CaDiCaL version: 2.1.3
% 20.22/3.37 % (218122)Termination reason: Instruction limit
% 20.22/3.37 % (218122)Termination phase: Saturation
% 20.22/3.37 % (218122)Time elapsed: 0.029 s
% 20.22/3.37 % (218122)Peak memory usage: 12 MB
% 20.22/3.37 % (218122)Instructions burned: 54 (million)
% 20.22/3.37 % (218127)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2345124527:i=57:ep=R:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/57Mi)
% 20.88/3.46 % (218093)Instruction limit reached!
% 20.88/3.46 % (218093)------------------------------
% 20.88/3.46 % (218093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.88/3.46 % (218093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/3.46 % (218093)CaDiCaL version: 2.1.3
% 20.88/3.46 % (218093)Termination reason: Instruction limit
% 20.88/3.46 % (218093)Termination phase: Saturation
% 20.88/3.46 % (218093)Time elapsed: 0.391 s
% 20.88/3.46 % (218093)Peak memory usage: 12 MB
% 20.88/3.46 % (218093)Instructions burned: 859 (million)
% 20.88/3.46 % (218129)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 20.88/3.46 % (218129)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2387502985:i=306:bd=all:rtra=on_2972 on theBenchmark for (2972ds/306Mi)
% 20.88/3.46 % (218129)Refutation not found, incomplete strategy
% 20.88/3.46 % (218129)------------------------------
% 20.88/3.46 % (218129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.88/3.46 % (218129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/3.46 % (218129)CaDiCaL version: 2.1.3
% 20.88/3.46 % (218129)Termination reason: Refutation not found, incomplete strategy
% 20.88/3.46 % (218129)Time elapsed: 0.001 s
% 20.88/3.46 % (218129)Peak memory usage: 11 MB
% 20.88/3.46 % (218129)Instructions burned: 1 (million)
% 20.88/3.46 % (218129)------------------------------
% 20.88/3.46 % (218129)------------------------------
% 20.88/3.46 % (218127)Instruction limit reached!
% 20.88/3.46 % (218127)------------------------------
% 20.88/3.46 % (218127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.88/3.46 % (218127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/3.46 % (218127)CaDiCaL version: 2.1.3
% 20.88/3.46 % (218127)Termination reason: Instruction limit
% 20.88/3.46 % (218127)Termination phase: Saturation
% 20.88/3.46 % (218127)Time elapsed: 0.027 s
% 20.88/3.46 % (218127)Peak memory usage: 12 MB
% 20.88/3.46 % (218127)Instructions burned: 59 (million)
% 20.88/3.46 % (218131)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3704830949:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/262Mi)
% 20.88/3.46 % (218132)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 20.88/3.46 % (218131)Refutation not found, incomplete strategy
% 20.88/3.46 % (218131)------------------------------
% 20.88/3.46 % (218131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.88/3.46 % (218131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/3.46 % (218131)CaDiCaL version: 2.1.3
% 20.88/3.46 % (218131)Termination reason: Refutation not found, incomplete strategy
% 20.88/3.46 % (218131)Time elapsed: 0.001 s
% 20.88/3.46 % (218131)Peak memory usage: 11 MB
% 20.88/3.46 % (218131)------------------------------
% 20.88/3.46 % (218131)------------------------------
% 20.88/3.46 % (218132)ott+1002_16_sil=128000:si=on:random_seed=117224853:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2972 on theBenchmark for (2972ds/409Mi)
% 20.88/3.46 % (218134)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3451387262:s2a=on:i=381:rtra=on_2972 on theBenchmark for (2972ds/381Mi)
% 20.88/3.46 % (218132)Instruction limit reached!
% 20.88/3.46 % (218132)------------------------------
% 20.88/3.46 % (218132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.88/3.46 % (218132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/3.46 % (218132)CaDiCaL version: 2.1.3
% 20.88/3.46 % (218132)Termination reason: Instruction limit
% 20.88/3.46 % (218132)Termination phase: Saturation
% 20.88/3.46 % (218132)Time elapsed: 0.159 s
% 20.88/3.46 % (218132)Peak memory usage: 13 MB
% 20.88/3.46 % (218132)Instructions burned: 410 (million)
% 20.88/3.46 % (218137)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=749549283:cond=on:i=324:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/324Mi)
% 20.88/3.46 % (218134)Instruction limit reached!
% 20.88/3.46 % (218134)------------------------------
% 20.88/3.46 % (218134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.88/3.46 % (218134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.88/3.46 % (218134)CaDiCaL version: 2.1.3
% 20.88/3.46 % (218134)Termination reason: Instruction limit
% 22.00/3.62 % (218134)Termination phase: Saturation
% 22.00/3.62 % (218134)Time elapsed: 0.162 s
% 22.00/3.62 % (218134)Peak memory usage: 12 MB
% 22.00/3.62 % (218134)Instructions burned: 383 (million)
% 22.00/3.62 % (218139)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2749929473:i=240:kws=inv_precedence:rtra=on_2970 on theBenchmark for (2970ds/240Mi)
% 22.00/3.62 % (218139)Refutation not found, incomplete strategy
% 22.00/3.62 % (218139)------------------------------
% 22.00/3.62 % (218139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.00/3.62 % (218139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.00/3.62 % (218139)CaDiCaL version: 2.1.3
% 22.00/3.62 % (218139)Termination reason: Refutation not found, incomplete strategy
% 22.00/3.62 % (218139)Time elapsed: 0.001 s
% 22.00/3.62 % (218139)Peak memory usage: 11 MB
% 22.00/3.62 % (218139)Instructions burned: 1 (million)
% 22.00/3.62 % (218139)------------------------------
% 22.00/3.62 % (218139)------------------------------
% 22.00/3.62 % (218141)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 22.00/3.62 % (218141)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3891491083:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/124Mi)
% 22.00/3.62 % (218141)Instruction limit reached!
% 22.00/3.62 % (218141)------------------------------
% 22.00/3.62 % (218141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.00/3.62 % (218141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.00/3.62 % (218141)CaDiCaL version: 2.1.3
% 22.00/3.62 % (218141)Termination reason: Instruction limit
% 22.00/3.62 % (218141)Termination phase: Saturation
% 22.00/3.62 % (218141)Time elapsed: 0.049 s
% 22.00/3.62 % (218141)Peak memory usage: 12 MB
% 22.00/3.62 % (218141)Instructions burned: 124 (million)
% 22.00/3.62 % (218123)Instruction limit reached!
% 22.00/3.62 % (218123)------------------------------
% 22.00/3.62 % (218123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.00/3.62 % (218123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.00/3.62 % (218123)CaDiCaL version: 2.1.3
% 22.00/3.62 % (218123)Termination reason: Instruction limit
% 22.00/3.62 % (218123)Termination phase: Saturation
% 22.00/3.62 % (218123)Time elapsed: 0.382 s
% 22.00/3.62 % (218123)Peak memory usage: 13 MB
% 22.00/3.62 % (218123)Instructions burned: 878 (million)
% 22.00/3.62 % (218143)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3090693644:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2969 on theBenchmark for (2969ds/223Mi)
% 22.00/3.62 % (218137)Instruction limit reached!
% 22.00/3.62 % (218137)------------------------------
% 22.00/3.62 % (218137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.00/3.62 % (218137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.00/3.62 % (218137)CaDiCaL version: 2.1.3
% 22.00/3.62 % (218137)Termination reason: Instruction limit
% 22.00/3.62 % (218137)Termination phase: Saturation
% 22.00/3.62 % (218137)Time elapsed: 0.117 s
% 22.00/3.62 % (218137)Peak memory usage: 12 MB
% 22.00/3.62 % (218137)Instructions burned: 325 (million)
% 22.00/3.62 % (218144)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1315769758:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2969 on theBenchmark for (2969ds/282Mi)
% 22.00/3.62 % (218146)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=2876855519:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/464Mi)
% 22.00/3.62 % (218146)Refutation not found, incomplete strategy
% 22.00/3.62 % (218146)------------------------------
% 22.00/3.62 % (218146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.00/3.62 % (218146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.00/3.62 % (218146)CaDiCaL version: 2.1.3
% 22.00/3.62 % (218146)Termination reason: Refutation not found, incomplete strategy
% 22.00/3.62 % (218146)Time elapsed: 0.001 s
% 22.00/3.62 % (218146)Peak memory usage: 11 MB
% 22.00/3.62 % (218146)Instructions burned: 1 (million)
% 22.00/3.62 % (218146)------------------------------
% 22.00/3.62 % (218146)------------------------------
% 22.00/3.62 % (218106)Instruction limit reached!
% 22.00/3.62 % (218106)------------------------------
% 22.00/3.62 % (218106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.00/3.62 % (218106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.59/3.76 % (218106)CaDiCaL version: 2.1.3
% 22.59/3.76 % (218106)Termination reason: Instruction limit
% 22.59/3.76 % (218106)Termination phase: Saturation
% 22.59/3.76 % (218106)Time elapsed: 0.662 s
% 22.59/3.76 % (218106)Peak memory usage: 17 MB
% 22.59/3.76 % (218106)Instructions burned: 2243 (million)
% 22.59/3.76 % (218149)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=3106067159:i=88:s2at=3:nm=2:rtra=on:rawr=on_2968 on theBenchmark for (2968ds/88Mi)
% 22.59/3.76 % (218150)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3616324099:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2968 on theBenchmark for (2968ds/280Mi)
% 22.59/3.76 % (218143)Instruction limit reached!
% 22.59/3.76 % (218143)------------------------------
% 22.59/3.76 % (218143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.59/3.76 % (218143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.59/3.76 % (218143)CaDiCaL version: 2.1.3
% 22.59/3.76 % (218143)Termination reason: Instruction limit
% 22.59/3.76 % (218143)Termination phase: Saturation
% 22.59/3.76 % (218143)Time elapsed: 0.075 s
% 22.59/3.76 % (218143)Peak memory usage: 12 MB
% 22.59/3.76 % (218143)Instructions burned: 226 (million)
% 22.59/3.76 % (218149)Instruction limit reached!
% 22.59/3.76 % (218149)------------------------------
% 22.59/3.76 % (218149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.59/3.76 % (218149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.59/3.76 % (218149)CaDiCaL version: 2.1.3
% 22.59/3.76 % (218149)Termination reason: Instruction limit
% 22.59/3.76 % (218149)Termination phase: Saturation
% 22.59/3.76 % (218149)Time elapsed: 0.039 s
% 22.59/3.76 % (218149)Peak memory usage: 12 MB
% 22.59/3.76 % (218149)Instructions burned: 88 (million)
% 22.59/3.76 % (218153)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 22.59/3.76 % (218153)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1439386546:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/4386Mi)
% 22.59/3.76 % (218154)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 22.59/3.76 % (218154)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 22.59/3.76 % (218154)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=3546652842:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2968 on theBenchmark for (2968ds/483Mi)
% 22.59/3.76 % (218154)Refutation not found, incomplete strategy
% 22.59/3.76 % (218154)------------------------------
% 22.59/3.76 % (218154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.59/3.76 % (218154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.59/3.76 % (218154)CaDiCaL version: 2.1.3
% 22.59/3.76 % (218154)Termination reason: Refutation not found, incomplete strategy
% 22.59/3.76 % (218154)Time elapsed: 0.001 s
% 22.59/3.76 % (218154)Peak memory usage: 11 MB
% 22.59/3.76 % (218154)------------------------------
% 22.59/3.76 % (218154)------------------------------
% 22.59/3.76 % (218157)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2106628222:i=73:rtra=on_2968 on theBenchmark for (2968ds/73Mi)
% 22.59/3.76 % (218150)Instruction limit reached!
% 22.59/3.76 % (218150)------------------------------
% 22.59/3.76 % (218150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.59/3.76 % (218150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.59/3.76 % (218150)CaDiCaL version: 2.1.3
% 22.59/3.76 % (218150)Termination reason: Instruction limit
% 22.59/3.76 % (218150)Termination phase: Saturation
% 22.59/3.76 % (218150)Time elapsed: 0.075 s
% 22.59/3.76 % (218150)Peak memory usage: 12 MB
% 22.59/3.76 % (218150)Instructions burned: 283 (million)
% 22.59/3.76 % (218157)Refutation not found, incomplete strategy
% 22.59/3.76 % (218157)------------------------------
% 22.59/3.76 % (218157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.59/3.76 % (218157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.67/3.91 % (218157)CaDiCaL version: 2.1.3
% 23.67/3.91 % (218157)Termination reason: Refutation not found, incomplete strategy
% 23.67/3.91 % (218157)Time elapsed: 0.001 s
% 23.67/3.91 % (218157)Peak memory usage: 11 MB
% 23.67/3.91 % (218157)Instructions burned: 1 (million)
% 23.67/3.91 % (218157)------------------------------
% 23.67/3.91 % (218157)------------------------------
% 23.67/3.91 % (218159)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=2881622155:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2967 on theBenchmark for (2967ds/176Mi)
% 23.67/3.91 % (218160)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 23.67/3.91 % (218144)Instruction limit reached!
% 23.67/3.91 % (218144)------------------------------
% 23.67/3.91 % (218144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.67/3.91 % (218144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.67/3.91 % (218144)CaDiCaL version: 2.1.3
% 23.67/3.91 % (218144)Termination reason: Instruction limit
% 23.67/3.91 % (218144)Termination phase: Saturation
% 23.67/3.91 % (218144)Time elapsed: 0.125 s
% 23.67/3.91 % (218144)Peak memory usage: 13 MB
% 23.67/3.91 % (218144)Instructions burned: 283 (million)
% 23.67/3.91 % (218160)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1559020208:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2967 on theBenchmark for (2967ds/39Mi)
% 23.67/3.91 % (218162)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=669960840:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2967 on theBenchmark for (2967ds/708Mi)
% 23.67/3.91 % (218160)Instruction limit reached!
% 23.67/3.91 % (218160)------------------------------
% 23.67/3.91 % (218160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.67/3.91 % (218160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.67/3.91 % (218160)CaDiCaL version: 2.1.3
% 23.67/3.91 % (218160)Termination reason: Instruction limit
% 23.67/3.91 % (218160)Termination phase: Saturation
% 23.67/3.91 % (218160)Time elapsed: 0.020 s
% 23.67/3.91 % (218160)Peak memory usage: 12 MB
% 23.67/3.91 % (218160)Instructions burned: 39 (million)
% 23.67/3.91 % (218159)Instruction limit reached!
% 23.67/3.91 % (218159)------------------------------
% 23.67/3.91 % (218159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.67/3.91 % (218159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.67/3.91 % (218159)CaDiCaL version: 2.1.3
% 23.67/3.91 % (218159)Termination reason: Instruction limit
% 23.67/3.91 % (218159)Termination phase: Saturation
% 23.67/3.91 % (218159)Time elapsed: 0.041 s
% 23.67/3.91 % (218159)Peak memory usage: 12 MB
% 23.67/3.91 % (218159)Instructions burned: 180 (million)
% 23.67/3.91 % (218165)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
% 23.67/3.91 % (218165)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=962393231:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/252Mi)
% 23.67/3.91 % (218166)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2726834568:i=823:fsr=off:rtra=on_2967 on theBenchmark for (2967ds/823Mi)
% 23.67/3.91 % (218165)Instruction limit reached!
% 23.67/3.91 % (218165)------------------------------
% 23.67/3.91 % (218165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.67/3.91 % (218165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.67/3.91 % (218165)CaDiCaL version: 2.1.3
% 23.67/3.91 % (218165)Termination reason: Instruction limit
% 23.67/3.91 % (218165)Termination phase: Saturation
% 23.67/3.91 % (218165)Time elapsed: 0.098 s
% 23.67/3.91 % (218165)Peak memory usage: 12 MB
% 23.67/3.91 % (218165)Instructions burned: 255 (million)
% 23.67/3.91 % (218111)Instruction limit reached!
% 23.67/3.91 % (218111)------------------------------
% 23.67/3.91 % (218111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.67/3.91 % (218111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.67/3.91 % (218111)CaDiCaL version: 2.1.3
% 23.67/3.91 % (218111)Termination reason: Instruction limit
% 23.67/3.91 % (218111)Termination phase: Saturation
% 23.67/4.00 % (218111)Time elapsed: 0.813 s
% 23.67/4.00 % (218111)Peak memory usage: 14 MB
% 23.67/4.00 % (218111)Instructions burned: 1142 (million)
% 23.67/4.00 % (218169)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 23.67/4.00 % (218169)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=1502656398:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/16202Mi)
% 23.67/4.00 % (218169)Refutation not found, incomplete strategy
% 23.67/4.00 % (218169)------------------------------
% 23.67/4.00 % (218169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.67/4.00 % (218169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.67/4.00 % (218169)CaDiCaL version: 2.1.3
% 23.67/4.00 % (218169)Termination reason: Refutation not found, incomplete strategy
% 23.67/4.00 % (218169)Time elapsed: 0.001 s
% 23.67/4.00 % (218169)Peak memory usage: 11 MB
% 23.67/4.00 % (218169)Instructions burned: 1 (million)
% 23.67/4.00 % (218169)------------------------------
% 23.67/4.00 % (218169)------------------------------
% 23.67/4.00 % (218170)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3252473440:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/300Mi)
% 23.67/4.00 % (218172)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 23.67/4.00 % (218172)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 23.67/4.00 % (218172)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3339167643:i=177:add=on:bd=preordered:rtra=on:rawr=on_2965 on theBenchmark for (2965ds/177Mi)
% 23.67/4.00 % (218166)Instruction limit reached!
% 23.67/4.00 % (218166)------------------------------
% 23.67/4.00 % (218166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.67/4.00 % (218166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.67/4.00 % (218166)CaDiCaL version: 2.1.3
% 23.67/4.00 % (218166)Termination reason: Instruction limit
% 23.67/4.00 % (218166)Termination phase: Saturation
% 23.67/4.00 % (218166)Time elapsed: 0.181 s
% 23.67/4.00 % (218166)Peak memory usage: 13 MB
% 23.67/4.00 % (218166)Instructions burned: 827 (million)
% 23.67/4.00 % (218175)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=4125775831:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/715Mi)
% 23.67/4.00 % (218175)Refutation not found, incomplete strategy
% 23.67/4.00 % (218175)------------------------------
% 23.67/4.00 % (218175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.67/4.00 % (218175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.67/4.00 % (218175)CaDiCaL version: 2.1.3
% 23.67/4.00 % (218175)Termination reason: Refutation not found, incomplete strategy
% 23.67/4.00 % (218175)Time elapsed: 0.0000 s
% 23.67/4.00 % (218175)Peak memory usage: 11 MB
% 23.67/4.00 % (218175)Instructions burned: 2 (million)
% 23.67/4.00 % (218175)------------------------------
% 23.67/4.00 % (218175)------------------------------
% 23.67/4.00 % (218177)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 23.67/4.00 % (218177)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 23.67/4.00 % (218177)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=4243247495:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2965 on theBenchmark for (2965ds/230Mi)
% 23.67/4.00 % (218177)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 23.67/4.00 % (218172)Instruction limit reached!
% 23.67/4.00 % (218172)------------------------------
% 23.67/4.00 % (218172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.67/4.00 % (218172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.67/4.00 % (218172)CaDiCaL version: 2.1.3
% 23.67/4.00 % (218172)Termination reason: Instruction limit
% 23.67/4.00 % (218172)Termination phase: Saturation
% 23.67/4.00 % (218172)Time elapsed: 0.086 s
% 23.67/4.00 % (218172)Peak memory usage: 12 MB
% 23.67/4.00 % (218172)Instructions burned: 178 (million)
% 23.67/4.00 % (218162)Instruction limit reached!
% 26.47/4.21 % (218162)------------------------------
% 26.47/4.21 % (218162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.21 % (218162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.21 % (218162)CaDiCaL version: 2.1.3
% 26.47/4.21 % (218162)Termination reason: Instruction limit
% 26.47/4.21 % (218162)Termination phase: Saturation
% 26.47/4.21 % (218162)Time elapsed: 0.273 s
% 26.47/4.21 % (218162)Peak memory usage: 13 MB
% 26.47/4.21 % (218162)Instructions burned: 709 (million)
% 26.47/4.21 % (218179)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1450507014:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2964 on theBenchmark for (2964ds/606Mi)
% 26.47/4.21 % (218177)Instruction limit reached!
% 26.47/4.21 % (218177)------------------------------
% 26.47/4.21 % (218177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.21 % (218177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.21 % (218177)CaDiCaL version: 2.1.3
% 26.47/4.21 % (218177)Termination reason: Instruction limit
% 26.47/4.21 % (218177)Termination phase: Saturation
% 26.47/4.21 % (218177)Time elapsed: 0.056 s
% 26.47/4.21 % (218177)Peak memory usage: 12 MB
% 26.47/4.21 % (218177)Instructions burned: 232 (million)
% 26.47/4.21 % (218180)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 26.47/4.21 % (218180)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=3719720402:lrd=on:i=841:nm=0:rtra=on_2964 on theBenchmark for (2964ds/841Mi)
% 26.47/4.21 % (218170)Instruction limit reached!
% 26.47/4.21 % (218170)------------------------------
% 26.47/4.21 % (218170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.21 % (218170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.21 % (218170)CaDiCaL version: 2.1.3
% 26.47/4.21 % (218170)Termination reason: Instruction limit
% 26.47/4.21 % (218170)Termination phase: Saturation
% 26.47/4.21 % (218170)Time elapsed: 0.131 s
% 26.47/4.21 % (218170)Peak memory usage: 12 MB
% 26.47/4.21 % (218170)Instructions burned: 302 (million)
% 26.47/4.21 % (218182)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=59339165:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2964 on theBenchmark for (2964ds/445Mi)
% 26.47/4.21 % (218184)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=385767038:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2964 on theBenchmark for (2964ds/71Mi)
% 26.47/4.21 % (218184)Instruction limit reached!
% 26.47/4.21 % (218184)------------------------------
% 26.47/4.21 % (218184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.21 % (218184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.21 % (218184)CaDiCaL version: 2.1.3
% 26.47/4.21 % (218184)Termination reason: Instruction limit
% 26.47/4.21 % (218184)Termination phase: Saturation
% 26.47/4.21 % (218184)Time elapsed: 0.037 s
% 26.47/4.21 % (218184)Peak memory usage: 12 MB
% 26.47/4.21 % (218184)Instructions burned: 71 (million)
% 26.47/4.21 % (218187)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
% 26.47/4.21 % (218187)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 26.47/4.21 % (218187)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=882878979:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2964 on theBenchmark for (2964ds/100Mi)
% 26.47/4.21 % (218187)Instruction limit reached!
% 26.47/4.21 % (218187)------------------------------
% 26.47/4.21 % (218187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.21 % (218187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.21 % (218187)CaDiCaL version: 2.1.3
% 26.47/4.21 % (218187)Termination reason: Instruction limit
% 26.47/4.21 % (218187)Termination phase: Saturation
% 26.47/4.21 % (218187)Time elapsed: 0.046 s
% 26.47/4.21 % (218187)Peak memory usage: 12 MB
% 26.47/4.21 % (218187)Instructions burned: 102 (million)
% 26.47/4.21 % (218182)Instruction limit reached!
% 26.47/4.21 % (218182)------------------------------
% 26.47/4.26 % (218182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.26 % (218182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.26 % (218182)CaDiCaL version: 2.1.3
% 26.47/4.26 % (218182)Termination reason: Instruction limit
% 26.47/4.26 % (218182)Termination phase: Saturation
% 26.47/4.26 % (218182)Time elapsed: 0.120 s
% 26.47/4.26 % (218182)Peak memory usage: 14 MB
% 26.47/4.26 % (218182)Instructions burned: 447 (million)
% 26.47/4.26 % (218190)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=3036381102:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2963 on theBenchmark for (2963ds/646Mi)
% 26.47/4.26 % (218189)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 26.47/4.26 % (218189)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=2846976031:i=1352:add=on:aac=none:rtra=on_2963 on theBenchmark for (2963ds/1352Mi)
% 26.47/4.26 % (218189)Refutation not found, incomplete strategy
% 26.47/4.26 % (218189)------------------------------
% 26.47/4.26 % (218189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.26 % (218189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.26 % (218189)CaDiCaL version: 2.1.3
% 26.47/4.26 % (218189)Termination reason: Refutation not found, incomplete strategy
% 26.47/4.26 % (218189)Time elapsed: 0.002 s
% 26.47/4.26 % (218189)Peak memory usage: 11 MB
% 26.47/4.26 % (218189)Instructions burned: 3 (million)
% 26.47/4.26 % (218189)------------------------------
% 26.47/4.26 % (218189)------------------------------
% 26.47/4.26 % (218193)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=791628839:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2963 on theBenchmark for (2963ds/1924Mi)
% 26.47/4.26 % (217964)Instruction limit reached!
% 26.47/4.26 % (217964)------------------------------
% 26.47/4.26 % (217964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.26 % (217964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.26 % (217964)CaDiCaL version: 2.1.3
% 26.47/4.26 % (217964)Termination reason: Instruction limit
% 26.47/4.26 % (217964)Termination phase: Saturation
% 26.47/4.26 % (217964)Time elapsed: 2.857 s
% 26.47/4.26 % (217964)Peak memory usage: 14 MB
% 26.47/4.26 % (217964)Instructions burned: 9841 (million)
% 26.47/4.26 % (218193)Refutation not found, incomplete strategy
% 26.47/4.26 % (218193)------------------------------
% 26.47/4.26 % (218193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.26 % (218193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.26 % (218193)CaDiCaL version: 2.1.3
% 26.47/4.26 % (218193)Termination reason: Refutation not found, incomplete strategy
% 26.47/4.26 % (218193)Time elapsed: 0.001 s
% 26.47/4.26 % (218193)Peak memory usage: 11 MB
% 26.47/4.26 % (218193)------------------------------
% 26.47/4.26 % (218193)------------------------------
% 26.47/4.26 % (218197)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=4221940040:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2963 on theBenchmark for (2963ds/592Mi)
% 26.47/4.26 % (218196)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3030626560:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2963 on theBenchmark for (2963ds/984Mi)
% 26.47/4.26 % (218196)Refutation not found, incomplete strategy
% 26.47/4.26 % (218196)------------------------------
% 26.47/4.26 % (218196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.47/4.26 % (218196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/4.26 % (218196)CaDiCaL version: 2.1.3
% 26.47/4.26 % (218196)Termination reason: Refutation not found, incomplete strategy
% 26.47/4.26 % (218196)Time elapsed: 0.002 s
% 26.47/4.26 % (218196)Peak memory usage: 11 MB
% 26.47/4.26 % (218196)Instructions burned: 1 (million)
% 26.47/4.26 % (218196)------------------------------
% 26.47/4.26 % (218196)------------------------------
% 26.47/4.26 % (218200)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=3227758814:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2962 on theBenchmark for (2962ds/872Mi)
% 26.47/4.26 % (218200)Refutation not found, incomplete strategy
% 26.47/4.26 % (218200)------------------------------
% 27.19/4.32 % (218200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.32 % (218200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.32 % (218200)CaDiCaL version: 2.1.3
% 27.19/4.32 % (218200)Termination reason: Refutation not found, incomplete strategy
% 27.19/4.32 % (218200)Time elapsed: 0.0000 s
% 27.19/4.32 % (218200)Peak memory usage: 11 MB
% 27.19/4.32 % (218200)------------------------------
% 27.19/4.32 % (218200)------------------------------
% 27.19/4.32 % (218202)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 27.19/4.32 % (218202)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=2062466247:i=999:add=on:rtra=on_2962 on theBenchmark for (2962ds/999Mi)
% 27.19/4.32 % (218180)Instruction limit reached!
% 27.19/4.32 % (218180)------------------------------
% 27.19/4.32 % (218180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.32 % (218180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.32 % (218180)CaDiCaL version: 2.1.3
% 27.19/4.32 % (218180)Termination reason: Instruction limit
% 27.19/4.32 % (218180)Termination phase: Saturation
% 27.19/4.32 % (218180)Time elapsed: 0.376 s
% 27.19/4.32 % (218180)Peak memory usage: 13 MB
% 27.19/4.32 % (218180)Instructions burned: 847 (million)
% 27.19/4.32 % (218190)Instruction limit reached!
% 27.19/4.32 % (218190)------------------------------
% 27.19/4.32 % (218190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.32 % (218190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.32 % (218190)CaDiCaL version: 2.1.3
% 27.19/4.32 % (218190)Termination reason: Instruction limit
% 27.19/4.32 % (218190)Termination phase: Saturation
% 27.19/4.32 % (218190)Time elapsed: 0.247 s
% 27.19/4.32 % (218190)Peak memory usage: 14 MB
% 27.19/4.32 % (218190)Instructions burned: 647 (million)
% 27.19/4.32 % (218204)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 27.19/4.32 % (218205)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=1090157904:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2960 on theBenchmark for (2960ds/113Mi)
% 27.19/4.32 % (218205)Refutation not found, incomplete strategy
% 27.19/4.32 % (218205)------------------------------
% 27.19/4.32 % (218205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.32 % (218205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.32 % (218205)CaDiCaL version: 2.1.3
% 27.19/4.32 % (218205)Termination reason: Refutation not found, incomplete strategy
% 27.19/4.32 % (218205)Time elapsed: 0.001 s
% 27.19/4.32 % (218205)Peak memory usage: 11 MB
% 27.19/4.32 % (218205)Instructions burned: 1 (million)
% 27.19/4.32 % (218205)------------------------------
% 27.19/4.32 % (218205)------------------------------
% 27.19/4.32 % (218204)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=1281390581:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2960 on theBenchmark for (2960ds/244Mi)
% 27.19/4.32 % (218204)Refutation not found, incomplete strategy
% 27.19/4.32 % (218204)------------------------------
% 27.19/4.32 % (218204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.32 % (218204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.32 % (218204)CaDiCaL version: 2.1.3
% 27.19/4.32 % (218204)Termination reason: Refutation not found, incomplete strategy
% 27.19/4.32 % (218204)Time elapsed: 0.002 s
% 27.19/4.32 % (218204)Peak memory usage: 12 MB
% 27.19/4.32 % (218204)Instructions burned: 2 (million)
% 27.19/4.32 % (218204)------------------------------
% 27.19/4.32 % (218204)------------------------------
% 27.19/4.32 % (218209)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3405122766:st=2:i=5026:sd=1:rtra=on:ss=axioms_2960 on theBenchmark for (2960ds/5026Mi)
% 27.19/4.32 % (218209)Refutation not found, incomplete strategy
% 27.19/4.32 % (218209)------------------------------
% 27.19/4.32 % (218209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.32 % (218209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.32 % (218209)CaDiCaL version: 2.1.3
% 27.19/4.32 % (218209)Termination reason: Refutation not found, incomplete strategy
% 27.87/4.57 % (218209)Time elapsed: 0.001 s
% 27.87/4.57 % (218209)Peak memory usage: 11 MB
% 27.87/4.57 % (218209)------------------------------
% 27.87/4.57 % (218209)------------------------------
% 27.87/4.57 % (218208)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3465156048:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2960 on theBenchmark for (2960ds/7795Mi)
% 27.87/4.57 % (218208)Refutation not found, incomplete strategy
% 27.87/4.57 % (218208)------------------------------
% 27.87/4.57 % (218208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.87/4.57 % (218208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.87/4.57 % (218208)CaDiCaL version: 2.1.3
% 27.87/4.57 % (218208)Termination reason: Refutation not found, incomplete strategy
% 27.87/4.57 % (218208)Time elapsed: 0.001 s
% 27.87/4.57 % (218208)Peak memory usage: 11 MB
% 27.87/4.57 % (218208)------------------------------
% 27.87/4.57 % (218208)------------------------------
% 27.87/4.57 % (218211)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 27.87/4.57 % (218211)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1745590657:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2960 on theBenchmark for (2960ds/763Mi)
% 27.87/4.57 % (218211)Refutation not found, incomplete strategy
% 27.87/4.57 % (218211)------------------------------
% 27.87/4.57 % (218211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.87/4.57 % (218211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.87/4.57 % (218211)CaDiCaL version: 2.1.3
% 27.87/4.57 % (218211)Termination reason: Refutation not found, incomplete strategy
% 27.87/4.57 % (218211)Time elapsed: 0.001 s
% 27.87/4.57 % (218211)Peak memory usage: 11 MB
% 27.87/4.57 % (218211)Instructions burned: 1 (million)
% 27.87/4.57 % (218211)------------------------------
% 27.87/4.57 % (218211)------------------------------
% 27.87/4.57 % (218202)Instruction limit reached!
% 27.87/4.57 % (218202)------------------------------
% 27.87/4.57 % (218202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.87/4.57 % (218202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.87/4.57 % (218202)CaDiCaL version: 2.1.3
% 27.87/4.57 % (218202)Termination reason: Instruction limit
% 27.87/4.57 % (218202)Termination phase: Saturation
% 27.87/4.57 % (218202)Time elapsed: 0.231 s
% 27.87/4.57 % (218202)Peak memory usage: 14 MB
% 27.87/4.57 % (218202)Instructions burned: 1002 (million)
% 27.87/4.57 % (218197)Instruction limit reached!
% 27.87/4.57 % (218197)------------------------------
% 27.87/4.57 % (218197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.87/4.57 % (218197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.87/4.57 % (218197)CaDiCaL version: 2.1.3
% 27.87/4.57 % (218197)Termination reason: Instruction limit
% 27.87/4.57 % (218197)Termination phase: Saturation
% 27.87/4.57 % (218197)Time elapsed: 0.270 s
% 27.87/4.57 % (218197)Peak memory usage: 12 MB
% 27.87/4.57 % (218197)Instructions burned: 595 (million)
% 27.87/4.57 % (218179)Instruction limit reached!
% 27.87/4.57 % (218179)------------------------------
% 27.87/4.57 % (218179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.87/4.57 % (218179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.87/4.57 % (218179)CaDiCaL version: 2.1.3
% 27.87/4.57 % (218179)Termination reason: Instruction limit
% 27.87/4.57 % (218179)Termination phase: Saturation
% 27.87/4.57 % (218179)Time elapsed: 0.475 s
% 27.87/4.57 % (218179)Peak memory usage: 12 MB
% 27.87/4.57 % (218179)Instructions burned: 606 (million)
% 27.87/4.57 % (218216)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=4110817490:i=1724:fsr=off:rtra=on:fe=abstraction_2960 on theBenchmark for (2960ds/1724Mi)
% 27.87/4.57 % (218213)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=769291441:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2960 on theBenchmark for (2960ds/1144Mi)
% 27.87/4.57 % (218213)Refutation not found, incomplete strategy
% 27.87/4.57 % (218213)------------------------------
% 27.87/4.57 % (218213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.87/4.57 % (218213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.87/4.57 % (218213)CaDiCaL version: 2.1.3
% 27.87/4.57 % (218213)Termination reason: Refutation not found, incomplete strategy
% 32.44/5.05 % (218213)Time elapsed: 0.001 s
% 32.44/5.05 % (218213)Peak memory usage: 11 MB
% 32.44/5.05 % (218215)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 32.44/5.05 % (218213)------------------------------
% 32.44/5.05 % (218213)------------------------------
% 32.44/5.05 % (218215)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=1915184605:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2960 on theBenchmark for (2960ds/52Mi)
% 32.44/5.05 % (218219)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2125164584:i=6395:sd=1:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/6395Mi)
% 32.44/5.05 % (218219)Refutation not found, incomplete strategy
% 32.44/5.05 % (218219)------------------------------
% 32.44/5.05 % (218219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.44/5.05 % (218219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.44/5.05 % (218219)CaDiCaL version: 2.1.3
% 32.44/5.05 % (218219)Termination reason: Refutation not found, incomplete strategy
% 32.44/5.05 % (218219)Time elapsed: 0.001 s
% 32.44/5.05 % (218219)Peak memory usage: 11 MB
% 32.44/5.05 % (218217)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=2268184470:i=439:add=on:slsql=off:rtra=on:ntd=on_2960 on theBenchmark for (2960ds/439Mi)
% 32.44/5.05 % (218219)------------------------------
% 32.44/5.05 % (218219)------------------------------
% 32.44/5.05 % (218221)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 32.44/5.05 % (218221)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2347829235:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2959 on theBenchmark for (2959ds/6762Mi)
% 32.44/5.05 % (218221)Refutation not found, incomplete strategy
% 32.44/5.05 % (218221)------------------------------
% 32.44/5.05 % (218221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.44/5.05 % (218221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.44/5.05 % (218221)CaDiCaL version: 2.1.3
% 32.44/5.05 % (218221)Termination reason: Refutation not found, incomplete strategy
% 32.44/5.05 % (218221)Time elapsed: 0.0000 s
% 32.44/5.05 % (218221)Peak memory usage: 11 MB
% 32.44/5.05 % (218221)------------------------------
% 32.44/5.05 % (218221)------------------------------
% 32.44/5.05 % (218225)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 32.44/5.05 % (218225)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=3824699302:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2959 on theBenchmark for (2959ds/376Mi)
% 32.44/5.05 % (218215)Instruction limit reached!
% 32.44/5.05 % (218215)------------------------------
% 32.44/5.05 % (218215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.44/5.05 % (218215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.44/5.05 % (218215)CaDiCaL version: 2.1.3
% 32.44/5.05 % (218215)Termination reason: Instruction limit
% 32.44/5.05 % (218215)Termination phase: Saturation
% 32.44/5.05 % (218215)Time elapsed: 0.036 s
% 32.44/5.05 % (218215)Peak memory usage: 12 MB
% 32.44/5.05 % (218215)Instructions burned: 52 (million)
% 32.44/5.05 % (218227)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=1574018954:i=965:bd=all:ins=4:rtra=on_2959 on theBenchmark for (2959ds/965Mi)
% 32.44/5.05 % (218229)lrs+10_1_sil=128000:si=on:urr=on:random_seed=295470962:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2959 on theBenchmark for (2959ds/5013Mi)
% 32.44/5.05 % (218229)Refutation not found, incomplete strategy
% 32.44/5.05 % (218229)------------------------------
% 32.44/5.05 % (218229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.44/5.05 % (218229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.44/5.05 % (218229)CaDiCaL version: 2.1.3
% 32.44/5.05 % (218229)Termination reason: Refutation not found, incomplete strategy
% 32.44/5.05 % (218229)Time elapsed: 0.001 s
% 32.44/5.05 % (218229)Peak memory usage: 11 MB
% 32.44/5.05 % (218229)------------------------------
% 32.44/5.05 % (218229)------------------------------
% 33.47/5.28 % (218232)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=1551868543:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2959 on theBenchmark for (2959ds/1583Mi)
% 33.47/5.28 % (218225)Instruction limit reached!
% 33.47/5.28 % (218225)------------------------------
% 33.47/5.28 % (218225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.47/5.28 % (218225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.47/5.28 % (218225)CaDiCaL version: 2.1.3
% 33.47/5.28 % (218225)Termination reason: Instruction limit
% 33.47/5.28 % (218225)Termination phase: Saturation
% 33.47/5.28 % (218225)Time elapsed: 0.193 s
% 33.47/5.28 % (218225)Peak memory usage: 14 MB
% 33.47/5.28 % (218225)Instructions burned: 377 (million)
% 33.47/5.28 % (218234)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 33.47/5.28 % (218234)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 33.47/5.28 % (218234)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
% 33.47/5.28 % (218234)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 33.47/5.28 % (218234)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=2831370373: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)
% 33.47/5.28 % (218234)Refutation not found, incomplete strategy
% 33.47/5.28 % (218234)------------------------------
% 33.47/5.28 % (218234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.47/5.28 % (218234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.47/5.28 % (218234)CaDiCaL version: 2.1.3
% 33.47/5.28 % (218234)Termination reason: Refutation not found, incomplete strategy
% 33.47/5.28 % (218234)Time elapsed: 0.001 s
% 33.47/5.28 % (218234)Peak memory usage: 11 MB
% 33.47/5.28 % (218234)------------------------------
% 33.47/5.28 % (218234)------------------------------
% 33.47/5.28 % (218236)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3702224436:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/515Mi)
% 33.47/5.28 % (218236)Refutation not found, incomplete strategy
% 33.47/5.28 % (218236)------------------------------
% 33.47/5.28 % (218236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.47/5.28 % (218236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.47/5.28 % (218236)CaDiCaL version: 2.1.3
% 33.47/5.28 % (218236)Termination reason: Refutation not found, incomplete strategy
% 33.47/5.28 % (218236)Time elapsed: 0.001 s
% 33.47/5.28 % (218236)Peak memory usage: 11 MB
% 33.47/5.28 % (218236)------------------------------
% 33.47/5.28 % (218236)------------------------------
% 33.47/5.28 % (218217)Instruction limit reached!
% 33.47/5.28 % (218217)------------------------------
% 33.47/5.28 % (218217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.47/5.28 % (218217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.47/5.28 % (218217)CaDiCaL version: 2.1.3
% 33.47/5.28 % (218217)Termination reason: Instruction limit
% 33.47/5.28 % (218217)Termination phase: Saturation
% 33.47/5.28 % (218217)Time elapsed: 0.268 s
% 33.47/5.28 % (218217)Peak memory usage: 12 MB
% 33.47/5.28 % (218217)Instructions burned: 440 (million)
% 33.47/5.28 % (218238)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
% 33.47/5.28 % (218238)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=1524338324:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2957 on theBenchmark for (2957ds/1297Mi)
% 33.47/5.28 % (218239)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=825115834:s2a=on:i=611:rtra=on:gsp=on_2957 on theBenchmark for (2957ds/611Mi)
% 33.47/5.28 % (218239)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 34.22/5.47 % (218216)Instruction limit reached!
% 34.22/5.47 % (218216)------------------------------
% 34.22/5.47 % (218216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.22/5.47 % (218216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.22/5.47 % (218216)CaDiCaL version: 2.1.3
% 34.22/5.47 % (218216)Termination reason: Instruction limit
% 34.22/5.47 % (218216)Termination phase: Saturation
% 34.22/5.47 % (218216)Time elapsed: 0.427 s
% 34.22/5.47 % (218216)Peak memory usage: 13 MB
% 34.22/5.47 % (218216)Instructions burned: 1725 (million)
% 34.22/5.47 % (218242)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 34.22/5.47 % (218242)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=4216045198:i=72:bd=all:rtra=on_2955 on theBenchmark for (2955ds/72Mi)
% 34.22/5.47 % (218242)Refutation not found, incomplete strategy
% 34.22/5.47 % (218242)------------------------------
% 34.22/5.47 % (218242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.22/5.47 % (218242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.22/5.47 % (218242)CaDiCaL version: 2.1.3
% 34.22/5.47 % (218242)Termination reason: Refutation not found, incomplete strategy
% 34.22/5.47 % (218242)Time elapsed: 0.001 s
% 34.22/5.47 % (218242)Peak memory usage: 12 MB
% 34.22/5.47 % (218242)Instructions burned: 1 (million)
% 34.22/5.47 % (218242)------------------------------
% 34.22/5.47 % (218242)------------------------------
% 34.22/5.47 % (218244)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=1156915544:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2955 on theBenchmark for (2955ds/6580Mi)
% 34.22/5.47 % (218239)Instruction limit reached!
% 34.22/5.47 % (218239)------------------------------
% 34.22/5.47 % (218239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.22/5.47 % (218239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.22/5.47 % (218239)CaDiCaL version: 2.1.3
% 34.22/5.47 % (218239)Termination reason: Instruction limit
% 34.22/5.47 % (218239)Termination phase: Saturation
% 34.22/5.47 % (218239)Time elapsed: 0.226 s
% 34.22/5.47 % (218239)Peak memory usage: 13 MB
% 34.22/5.47 % (218239)Instructions burned: 611 (million)
% 34.22/5.47 % (218246)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3221993811:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2954 on theBenchmark for (2954ds/6209Mi)
% 34.22/5.47 % (218246)Refutation not found, incomplete strategy
% 34.22/5.47 % (218246)------------------------------
% 34.22/5.47 % (218246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.22/5.47 % (218246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.22/5.47 % (218246)CaDiCaL version: 2.1.3
% 34.22/5.47 % (218246)Termination reason: Refutation not found, incomplete strategy
% 34.22/5.47 % (218246)Time elapsed: 0.001 s
% 34.22/5.47 % (218246)Peak memory usage: 11 MB
% 34.22/5.47 % (218246)------------------------------
% 34.22/5.47 % (218246)------------------------------
% 34.22/5.47 % (218248)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=3003068315:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2954 on theBenchmark for (2954ds/1003Mi)
% 34.22/5.47 % (218227)Instruction limit reached!
% 34.22/5.47 % (218227)------------------------------
% 34.22/5.47 % (218227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.22/5.47 % (218227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.22/5.47 % (218227)CaDiCaL version: 2.1.3
% 34.22/5.47 % (218227)Termination reason: Instruction limit
% 34.22/5.47 % (218227)Termination phase: Saturation
% 34.22/5.47 % (218227)Time elapsed: 0.615 s
% 34.22/5.47 % (218227)Peak memory usage: 15 MB
% 34.22/5.47 % (218227)Instructions burned: 966 (million)
% 34.22/5.47 % (218250)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 34.22/5.47 % (218250)ott+1002_16_sil=128000:si=on:random_seed=837143063:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2953 on theBenchmark for (2953ds/409Mi)
% 34.22/5.47 % (218232)Instruction limit reached!
% 34.22/5.47 % (218232)------------------------------
% 34.22/5.47 % (218232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.22/5.47 % (218232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.65 % (218232)CaDiCaL version: 2.1.3
% 35.57/5.65 % (218232)Termination reason: Instruction limit
% 35.57/5.65 % (218232)Termination phase: Saturation
% 35.57/5.65 % (218232)Time elapsed: 0.712 s
% 35.57/5.65 % (218232)Peak memory usage: 13 MB
% 35.57/5.65 % (218232)Instructions burned: 1585 (million)
% 35.57/5.65 % (218252)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=2457239335:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2951 on theBenchmark for (2951ds/403Mi)
% 35.57/5.65 % (218252)Refutation not found, incomplete strategy
% 35.57/5.65 % (218252)------------------------------
% 35.57/5.65 % (218252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.57/5.65 % (218252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.65 % (218252)CaDiCaL version: 2.1.3
% 35.57/5.65 % (218252)Termination reason: Refutation not found, incomplete strategy
% 35.57/5.65 % (218252)Time elapsed: 0.001 s
% 35.57/5.65 % (218252)Peak memory usage: 11 MB
% 35.57/5.65 % (218252)Instructions burned: 1 (million)
% 35.57/5.65 % (218252)------------------------------
% 35.57/5.65 % (218252)------------------------------
% 35.57/5.65 % (218254)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=2679251733:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2951 on theBenchmark for (2951ds/6843Mi)
% 35.57/5.65 % (218254)Refutation not found, incomplete strategy
% 35.57/5.65 % (218254)------------------------------
% 35.57/5.65 % (218254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.57/5.65 % (218254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.65 % (218254)CaDiCaL version: 2.1.3
% 35.57/5.65 % (218254)Termination reason: Refutation not found, incomplete strategy
% 35.57/5.65 % (218254)Time elapsed: 0.001 s
% 35.57/5.65 % (218254)Peak memory usage: 11 MB
% 35.57/5.65 % (218254)Instructions burned: 1 (million)
% 35.57/5.65 % (218254)------------------------------
% 35.57/5.65 % (218254)------------------------------
% 35.57/5.65 % (218238)Instruction limit reached!
% 35.57/5.65 % (218238)------------------------------
% 35.57/5.65 % (218238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.57/5.65 % (218238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.65 % (218238)CaDiCaL version: 2.1.3
% 35.57/5.65 % (218238)Termination reason: Instruction limit
% 35.57/5.65 % (218238)Termination phase: Saturation
% 35.57/5.65 % (218238)Time elapsed: 0.553 s
% 35.57/5.65 % (218238)Peak memory usage: 12 MB
% 35.57/5.65 % (218238)Instructions burned: 1298 (million)
% 35.57/5.65 % (218256)lrs+10_2:1_si=on:random_seed=663835863:s2a=on:i=506:rtra=on:fe=abstraction_2951 on theBenchmark for (2951ds/506Mi)
% 35.57/5.65 % (218257)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=3898323381:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2951 on theBenchmark for (2951ds/888Mi)
% 35.57/5.65 % (218250)Instruction limit reached!
% 35.57/5.65 % (218250)------------------------------
% 35.57/5.65 % (218250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.57/5.65 % (218250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.65 % (218250)CaDiCaL version: 2.1.3
% 35.57/5.65 % (218250)Termination reason: Instruction limit
% 35.57/5.65 % (218250)Termination phase: Saturation
% 35.57/5.65 % (218250)Time elapsed: 0.259 s
% 35.57/5.65 % (218250)Peak memory usage: 13 MB
% 35.57/5.65 % (218250)Instructions burned: 410 (million)
% 35.57/5.65 % (218260)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 35.57/5.65 % (218260)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=2966190013:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2950 on theBenchmark for (2950ds/416Mi)
% 35.57/5.65 % (218248)Instruction limit reached!
% 35.57/5.65 % (218248)------------------------------
% 35.57/5.65 % (218248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.57/5.65 % (218248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.65 % (218248)CaDiCaL version: 2.1.3
% 35.57/5.65 % (218248)Termination reason: Instruction limit
% 35.57/5.65 % (218248)Termination phase: Saturation
% 35.57/5.65 % (218248)Time elapsed: 0.449 s
% 35.57/5.65 % (218248)Peak memory usage: 13 MB
% 35.57/5.65 % (218248)Instructions burned: 1005 (million)
% 35.57/5.65 % (218153)Instruction limit reached!
% 35.57/5.65 % (218153)------------------------------
% 35.57/5.65 % (218153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.57/5.65 % (218153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.65 % (218153)CaDiCaL version: 2.1.3
% 35.57/5.65 % (218153)Termination reason: Instruction limit
% 35.57/5.65 % (218153)Termination phase: Saturation
% 35.57/5.65 % (218153)Time elapsed: 1.857 s
% 35.57/5.65 % (218153)Peak memory usage: 16 MB
% 35.57/5.65 % (218153)Instructions burned: 4386 (million)
% 35.57/5.65 % (218262)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=321537756: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_2949 on theBenchmark for (2949ds/13534Mi)
% 35.57/5.65 % (218262)Refutation not found, incomplete strategy
% 35.57/5.65 % (218262)------------------------------
% 35.57/5.65 % (218262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.57/5.65 % (218262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.65 % (218262)CaDiCaL version: 2.1.3
% 35.57/5.65 % (218262)Termination reason: Refutation not found, incomplete strategy
% 35.57/5.65 % (218262)Time elapsed: 0.001 s
% 35.57/5.65 % (218262)Peak memory usage: 11 MB
% 35.57/5.65 % (218262)------------------------------
% 35.57/5.65 % (218262)------------------------------
% 35.57/5.65 % (218263)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 35.57/5.65 % (218263)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=3797597323:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2949 on theBenchmark for (2949ds/206Mi)
% 35.57/5.65 % (218265)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=3003726773: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)
% 35.57/5.65 % (218263)Instruction limit reached!
% 35.57/5.65 % (218263)------------------------------
% 35.57/5.65 % (218263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.57/5.65 % (218263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.65 % (218263)CaDiCaL version: 2.1.3
% 35.57/5.65 % (218263)Termination reason: Instruction limit
% 35.57/5.65 % (218263)Termination phase: Saturation
% 35.57/5.65 % (218263)Time elapsed: 0.078 s
% 35.57/5.65 % (218263)Peak memory usage: 12 MB
% 35.57/5.65 % (218263)Instructions burned: 208 (million)
% 35.57/5.65 % (218268)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=3255952488:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2948 on theBenchmark for (2948ds/637Mi)
% 35.57/5.65 % (218256)Instruction limit reached!
% 35.57/5.65 % (218256)------------------------------
% 35.57/5.65 % (218256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.57/5.65 % (218256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.65 % (218256)CaDiCaL version: 2.1.3
% 35.57/5.65 % (218256)Termination reason: Instruction limit
% 35.57/5.65 % (218256)Termination phase: Saturation
% 35.57/5.65 % (218256)Time elapsed: 0.292 s
% 35.57/5.65 % (218256)Peak memory usage: 13 MB
% 35.57/5.65 % (218256)Instructions burned: 506 (million)
% 35.57/5.65 % (218270)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=1490051323:hsq=on:i=667:rtra=on:ixr=off_2948 on theBenchmark for (2948ds/667Mi)
% 35.57/5.65 % (218260)Instruction limit reached!
% 35.57/5.65 % (218260)------------------------------
% 35.57/5.65 % (218260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.57/5.65 % (218260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.65 % (218260)CaDiCaL version: 2.1.3
% 35.57/5.65 % (218260)Termination reason: Instruction limit
% 35.57/5.65 % (218260)Termination phase: Saturation
% 35.57/5.65 % (218260)Time elapsed: 0.206 s
% 35.57/5.65 % (218260)Peak memory usage: 14 MB
% 35.57/5.65 % (218260)Instructions burned: 416 (million)
% 35.57/5.65 % (218257)Instruction limit reached!
% 35.57/5.65 % (218257)------------------------------
% 35.57/5.65 % (218257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.57/5.65 % (218257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.65 % (218257)CaDiCaL version: 2.1.3
% 35.57/5.65 % (218257)Termination reason: Instruction limit
% 35.57/5.65 % (218257)Termination phase: Saturation
% 35.57/5.65 % (218257)Time elapsed: 0.346 s
% 35.57/5.65 % (218257)Peak memory usage: 12 MB
% 35.57/5.65 % (218257)Instructions burned: 890 (million)
% 35.57/5.65 % (218272)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=3959510372:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2947 on theBenchmark for (2947ds/1801Mi)
% 35.57/5.65 % (218273)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=1705916425:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2947 on theBenchmark for (2947ds/555Mi)
% 35.57/5.65 % (218118) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-217792-218118"...
% 35.57/5.65 % (218118)...printing done.
% 35.57/5.65 % (218118)Refutation found. Thanks to Tanya!
% 35.57/5.65 % SZS status Unsatisfiable for theBenchmark
% 35.57/5.65 % SZS output start Proof for theBenchmark
% See solution above
% 35.57/5.67 % (218118)------------------------------
% 35.57/5.67 % (218118)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.57/5.67 % (218118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.57/5.67 % (218118)CaDiCaL version: 2.1.3
% 35.57/5.67 % (218118)Termination reason: Refutation
% 35.57/5.67 % (218118)Time elapsed: 2.715 s
% 35.57/5.67 % (218118)Peak memory usage: 19 MB
% 35.57/5.67 % (218118)Instructions burned: 3656 (million)
% 35.57/5.67 % (217792)Success in time 5.408 s
% 35.57/5.67 % Vampire exiting
%------------------------------------------------------------------------------