%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA140^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:57:47 AM UTC 2026
% Result : Unsatisfiable 26.76s 4.13s
% Output : Refutation 27.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X1: $i,X0: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X2: $i,X1: $i,X0: $i,X3: $i] :
( ~ ( r @ X2 @ X3 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X1: $i,X3: $i,X2: $i,X0: $i] :
( ~ ( b @ X1 @ X3 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X0 @ X3 )
| ~ ( r @ X2 @ X0 )
| ~ ( r @ X2 @ X1 )
| ~ ( r @ X1 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f9,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X0 @ X3 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X1 @ X0 ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f11,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f13,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( b @ X1 @ X0 )
| ( X0 = X1 )
| ( r @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
! [X1: $i,X0: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 )
| ( ( b @ X1 @ X0 )
= $true ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( b @ X0 @ X1 )
| ~ ( b @ X2 @ X1 )
| ~ ( b @ X3 @ X2 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X0 ) ),
inference(rectify,[],[f7]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X0 @ X3 ) )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X1: $i,X0: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
thf(f22,plain,
! [X3: $i,X0: $i,X1: $i,X2: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f21]) ).
thf(f24,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 )
| ( ( b @ X0 @ X1 )
= $true ) ),
inference(rectify,[],[f15]) ).
thf(f25,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X0 @ X3 ) ) ),
inference(rectify,[],[f18]) ).
thf(f26,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X0 @ X3 ) ) ),
inference(rectify,[],[f22]) ).
thf(f27,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f20]) ).
thf(f28,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X2 ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( $true
!= ( r @ X0 @ X3 ) )
| ( ( r @ X0 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f31,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f32,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f33,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f26]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f29,f31]) ).
thf(f37,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f29,f31]) ).
thf(f38,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f29,f28]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f33,f29]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( X0 = X1 )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( ( r @ X0 @ X1 )
= $true ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f43,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) ) ),
inference(constrained_superposition,[],[f33,f36]) ).
thf(f44,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X1 ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true != $true )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) ),
inference(constrained_superposition,[],[f44,f29]) ).
thf(f46,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X1 ) ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true
!= ( b @ X0 @ z ) ) ),
inference(trivial_inequality_removal,[],[f45]) ).
thf(f48,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f33,f37]) ).
thf(f49,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f51,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) ) ),
inference(constrained_superposition,[],[f49,f29]) ).
thf(f55,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ X1 ) ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 ) ),
inference(trivial_inequality_removal,[],[f51]) ).
thf(f56,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f38,f31]) ).
thf(f57,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f38,f31]) ).
thf(f58,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,[],[f38,f28]) ).
thf(f66,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f49,f56]) ).
thf(f68,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f33,f56]) ).
thf(f69,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f68]) ).
thf(f71,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f66]) ).
thf(f73,definition,
( spl0_1
<=> ( ( r @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f74,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f73]) ).
thf(f80,definition,
( spl0_3
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f81,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f80]) ).
thf(f83,definition,
( spl0_4
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f84,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f83]) ).
thf(f85,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f71,f83,f80]) ).
thf(f86,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f81,f36]) ).
thf(f88,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f86]) ).
thf(f98,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f69,f37]) ).
thf(f99,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f98]) ).
thf(f103,definition,
( spl0_5
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f104,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f103]) ).
thf(f106,definition,
( spl0_6
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f107,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_6 ),
inference(avatar_component_clause,[],[f106]) ).
thf(f108,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f99,f106,f103]) ).
thf(f109,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_6 ),
inference(constrained_superposition,[],[f107,f37]) ).
thf(f112,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_6 ),
inference(trivial_inequality_removal,[],[f109]) ).
thf(f114,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f112,f106,f83]) ).
thf(f116,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f49,f57]) ).
thf(f118,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f33,f57]) ).
thf(f119,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f116]) ).
thf(f122,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f118]) ).
thf(f124,definition,
( spl0_7
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f125,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f124]) ).
thf(f127,definition,
( spl0_8
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f128,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f127]) ).
thf(f130,definition,
( spl0_9
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f131,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_9 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f132,plain,
( spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f119,f130,f127,f124]) ).
thf(f134,definition,
( spl0_10
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f135,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f134]) ).
thf(f137,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| spl0_9 ),
inference(constrained_superposition,[],[f131,f36]) ).
thf(f139,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_9 ),
inference(trivial_inequality_removal,[],[f137]) ).
thf(f141,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f139,f130,f73]) ).
thf(f146,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f122,f37]) ).
thf(f147,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f146]) ).
thf(f152,plain,
( spl0_8
| spl0_7
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f147,f106,f124,f127]) ).
thf(f155,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(extensionality_resolution,[],[f58,f31]) ).
thf(f156,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f58,f31]) ).
thf(f157,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) ) )
| ( X0 = X1 )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ ( s @ X1 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f58,f28]) ).
thf(f169,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f122,f155]) ).
thf(f170,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f69,f155]) ).
thf(f173,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f33,f155]) ).
thf(f174,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f173]) ).
thf(f175,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f169]) ).
thf(f176,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f170]) ).
thf(f180,definition,
( spl0_11
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f181,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f180]) ).
thf(f183,definition,
( spl0_12
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f184,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f183]) ).
thf(f185,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f175,f183,f180]) ).
thf(f187,definition,
( spl0_13
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f188,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f187]) ).
thf(f190,definition,
( spl0_14
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f191,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f190]) ).
thf(f192,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f176,f190,f187]) ).
thf(f194,definition,
( spl0_15
<=> ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f195,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f194]) ).
thf(f204,definition,
( spl0_18
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f205,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f204]) ).
thf(f210,definition,
( spl0_19
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f211,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f210]) ).
thf(f213,definition,
( spl0_20
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f214,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f213]) ).
thf(f219,definition,
( spl0_21
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f220,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f219]) ).
thf(f260,definition,
( spl0_23
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f261,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_23 ),
inference(avatar_component_clause,[],[f260]) ).
thf(f264,definition,
( spl0_24
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
thf(f265,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_24 ),
inference(avatar_component_clause,[],[f264]) ).
thf(f270,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_24 ),
inference(constrained_superposition,[],[f265,f37]) ).
thf(f272,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| spl0_24 ),
inference(trivial_inequality_removal,[],[f270]) ).
thf(f274,plain,
( spl0_15
| spl0_24 ),
inference(avatar_split_clause,[],[f272,f264,f194]) ).
thf(f279,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_23 ),
inference(constrained_superposition,[],[f261,f57]) ).
thf(f281,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_23 ),
inference(constrained_superposition,[],[f261,f29]) ).
thf(f283,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_23 ),
inference(trivial_inequality_removal,[],[f279]) ).
thf(f284,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_23 ),
inference(trivial_inequality_removal,[],[f281]) ).
thf(f286,plain,
( spl0_11
| spl0_23 ),
inference(avatar_split_clause,[],[f283,f260,f180]) ).
thf(f288,definition,
( spl0_26
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f289,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f288]) ).
thf(f290,plain,
( spl0_26
| spl0_11
| spl0_23 ),
inference(avatar_split_clause,[],[f284,f260,f180,f288]) ).
thf(f293,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f156,f211]) ).
thf(f297,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f49,f293]) ).
thf(f304,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f297]) ).
thf(f307,definition,
( spl0_27
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f308,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f307]) ).
thf(f310,definition,
( spl0_28
<=> ( ( b @ ( s @ ( s @ z ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f311,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| spl0_28 ),
inference(avatar_component_clause,[],[f310]) ).
thf(f314,definition,
( spl0_29
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f315,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_29 ),
inference(avatar_component_clause,[],[f314]) ).
thf(f317,definition,
( spl0_30
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f318,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f317]) ).
thf(f321,definition,
( spl0_31
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f322,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f321]) ).
thf(f324,definition,
( spl0_32
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f325,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f324]) ).
thf(f328,definition,
( spl0_33
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f329,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f328]) ).
thf(f331,definition,
( spl0_34
<=> ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f332,plain,
( ! [X0: $i] :
( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f331]) ).
thf(f333,plain,
( spl0_33
| ~ spl0_28
| spl0_34
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f304,f210,f331,f310,f328]) ).
thf(f334,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_28 ),
inference(constrained_superposition,[],[f311,f36]) ).
thf(f335,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_28 ),
inference(constrained_superposition,[],[f311,f29]) ).
thf(f336,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_28 ),
inference(trivial_inequality_removal,[],[f335]) ).
thf(f337,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_28 ),
inference(trivial_inequality_removal,[],[f334]) ).
thf(f338,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_19
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f336,f211]) ).
thf(f339,plain,
( $false
| ~ spl0_19
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f337,f211]) ).
thf(f340,plain,
( ~ spl0_19
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f339]) ).
thf(f341,plain,
( $false
| ~ spl0_19
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f338,f31]) ).
thf(f342,plain,
( ~ spl0_19
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f341]) ).
thf(f344,plain,
( spl0_18
| spl0_28 ),
inference(avatar_split_clause,[],[f337,f310,f204]) ).
thf(f351,definition,
( spl0_35
<=> ! [X0: $i] :
( ( r @ z @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f352,plain,
( ! [X0: $i] :
( ( r @ z @ X0 )
!= $true )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f351]) ).
thf(f354,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_29 ),
inference(constrained_superposition,[],[f315,f56]) ).
thf(f356,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_29 ),
inference(constrained_superposition,[],[f315,f29]) ).
thf(f357,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_29 ),
inference(trivial_inequality_removal,[],[f356]) ).
thf(f359,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| spl0_29 ),
inference(trivial_inequality_removal,[],[f354]) ).
thf(f360,plain,
( spl0_26
| spl0_14
| spl0_29 ),
inference(avatar_split_clause,[],[f357,f314,f190,f288]) ).
thf(f362,plain,
( spl0_14
| spl0_29 ),
inference(avatar_split_clause,[],[f359,f314,f190]) ).
thf(f363,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_11
| ~ spl0_20 ),
inference(constrained_superposition,[],[f214,f181]) ).
thf(f367,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_11
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f363]) ).
thf(f376,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f30,f156]) ).
thf(f378,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f376]) ).
thf(f383,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( ( b @ X0 @ X2 )
!= $true )
| ( X0 = X1 )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
= ( r @ X2 @ X1 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f42,f29]) ).
thf(f384,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) ) ),
inference(constrained_superposition,[],[f42,f36]) ).
thf(f390,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ X1 @ ( s @ X0 ) )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f42,f37]) ).
thf(f391,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f384]) ).
thf(f396,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ X1 @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= X1 )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f390]) ).
thf(f397,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X2 ) )
| ( X1 = X2 )
| ( $true
= ( r @ X2 @ X1 ) )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ X3 @ X0 ) )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f383]) ).
thf(f399,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( X2 = X3 )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( $true != $true )
| ( $true
= ( r @ X3 @ X2 ) )
| ( X1 = X2 )
| ( ( r @ X1 @ X2 )
= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(constrained_superposition,[],[f397,f29]) ).
thf(f400,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( X1 = X2 )
| ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( ( r @ z @ X1 )
= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( z = X1 )
| ( $true
= ( r @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f397,f36]) ).
thf(f406,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= X1 )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( $true
= ( r @ X2 @ X1 ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( X1 = X2 ) ),
inference(constrained_superposition,[],[f397,f37]) ).
thf(f409,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( z = X1 )
| ( X1 = X2 )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ z @ X1 )
= $true )
| ( $true
= ( r @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f400]) ).
thf(f410,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( X1 = X2 )
| ( ( r @ X1 @ X2 )
= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( $true
!= ( b @ X0 @ X3 ) )
| ( X2 = X3 )
| ( $true
= ( r @ X3 @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f399]) ).
thf(f414,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( X1 = X2 )
| ( $true
= ( r @ X2 @ X1 ) )
| ( ( s @ X0 )
= X1 ) ),
inference(trivial_inequality_removal,[],[f406]) ).
thf(f431,plain,
! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f157,f31]) ).
thf(f432,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,[],[f157,f31]) ).
thf(f473,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( ( r @ z @ X1 )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 ) ),
inference(constrained_superposition,[],[f409,f56]) ).
thf(f475,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X1 )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ z @ X1 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X1 ) ),
inference(constrained_superposition,[],[f409,f155]) ).
thf(f480,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( ( s @ z )
= X1 )
| ( z = X1 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ z @ X1 )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ),
inference(trivial_inequality_removal,[],[f473]) ).
thf(f485,plain,
! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( ( r @ z @ X1 )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( z = X1 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f475]) ).
thf(f489,definition,
( spl0_36
<=> ! [X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( ( r @ z @ X1 )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f490,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
= $true )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( ( r @ z @ X1 )
= $true ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f489]) ).
thf(f492,definition,
( spl0_37
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f493,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f492]) ).
thf(f494,plain,
( ~ spl0_9
| spl0_36
| spl0_37 ),
inference(avatar_split_clause,[],[f480,f492,f489,f130]) ).
thf(f496,plain,
( $false
| ~ spl0_1
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f74,f367]) ).
thf(f497,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f496]) ).
thf(f505,definition,
( spl0_39
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f506,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f505]) ).
thf(f508,plain,
( ( $true != $true )
| ~ spl0_15
| ~ spl0_35 ),
inference(constrained_superposition,[],[f352,f195]) ).
thf(f509,plain,
( $false
| ~ spl0_15
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f508]) ).
thf(f510,plain,
( ~ spl0_15
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f509]) ).
thf(f521,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f128,f56]) ).
thf(f523,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f521]) ).
thf(f527,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f523,f36]) ).
thf(f529,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f527]) ).
thf(f531,plain,
( spl0_37
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f529,f127,f492]) ).
thf(f559,plain,
! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f391,f57]) ).
thf(f560,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X1 )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) ) ),
inference(constrained_superposition,[],[f391,f29]) ).
thf(f566,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f559]) ).
thf(f567,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( z = X1 ) ),
inference(trivial_inequality_removal,[],[f560]) ).
thf(f571,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( s @ X0 )
= X1 )
| ( ( r @ X1 @ ( s @ X0 ) )
= $true ) )
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f396,f352]) ).
thf(f572,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ X1 @ ( s @ X2 ) ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( s @ X2 )
= X1 ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f571,f29]) ).
thf(f575,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( z = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ X1 @ ( s @ X2 ) ) )
| ( ( s @ X2 )
= X1 ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f572]) ).
thf(f577,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ X0 @ ( s @ X2 ) ) )
| ( ( s @ X2 )
= X0 ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f575,f29]) ).
thf(f579,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ X2 ) ) )
| ( ( s @ X2 )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X1 ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f577]) ).
thf(f581,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( ( s @ X2 )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 )
| ( $true
= ( r @ X0 @ ( s @ X2 ) ) ) )
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f579,f352]) ).
thf(f584,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X1 ) ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f581,f56]) ).
thf(f586,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_35 ),
inference(constrained_superposition,[],[f581,f155]) ).
thf(f591,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f586]) ).
thf(f593,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ z ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X1 ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f584]) ).
thf(f597,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f591,f31]) ).
thf(f599,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f593,f31]) ).
thf(f602,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f597,f31]) ).
thf(f604,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f599,f31]) ).
thf(f607,definition,
( spl0_40
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f608,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f607]) ).
thf(f610,definition,
( spl0_41
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f611,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f610]) ).
thf(f612,plain,
( spl0_40
| spl0_41
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f602,f351,f610,f607]) ).
thf(f614,definition,
( spl0_42
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
thf(f615,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= ( s @ z ) ) )
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f614]) ).
thf(f616,plain,
( spl0_37
| spl0_42
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f604,f351,f614,f492]) ).
thf(f619,definition,
( spl0_43
<=> ! [X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( r @ z @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f620,plain,
( ! [X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
= $true )
| ( ( s @ ( s @ z ) )
= X1 )
| ( z = X1 )
| ( ( r @ z @ X1 )
= $true ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f619]) ).
thf(f621,plain,
( spl0_40
| ~ spl0_28
| spl0_43 ),
inference(avatar_split_clause,[],[f485,f619,f310,f607]) ).
thf(f623,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) ),
inference(forward_subsumption_resolution,[],[f566,f31]) ).
thf(f632,plain,
( spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f623,f134,f73]) ).
thf(f684,definition,
( spl0_46
<=> ! [X2: $i,X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
!= ( r @ X2 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f685,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( z = X0 ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f684]) ).
thf(f687,definition,
( spl0_47
<=> ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
thf(f688,plain,
( ! [X1: $i] :
( ( r @ ( s @ z ) @ X1 )
!= $true )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f687]) ).
thf(f717,definition,
( spl0_48
<=> ! [X2: $i,X0: $i] :
( ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f718,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f717]) ).
thf(f726,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ X2 )
= X1 )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X2 ) ) )
| ( $true
= ( r @ X1 @ ( s @ X2 ) ) ) ),
inference(constrained_superposition,[],[f396,f29]) ).
thf(f729,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X2 ) ) )
| ( ( s @ X2 )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ X2 ) ) ) ),
inference(trivial_inequality_removal,[],[f726]) ).
thf(f730,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( s @ X2 )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ X2 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X2 ) ) )
| ( $true != $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) ),
inference(constrained_superposition,[],[f55,f29]) ).
thf(f733,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X2 ) ) )
| ( $true
= ( r @ X1 @ ( s @ X2 ) ) )
| ( ( s @ X2 )
= X1 ) ),
inference(trivial_inequality_removal,[],[f730]) ).
thf(f737,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f88,f155]) ).
thf(f739,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f88,f57]) ).
thf(f741,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f739]) ).
thf(f745,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f737]) ).
thf(f749,definition,
( spl0_49
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
thf(f750,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f749]) ).
thf(f751,plain,
( ~ spl0_9
| spl0_49
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f741,f80,f749,f130]) ).
thf(f759,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f104,f155]) ).
thf(f769,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f759]) ).
thf(f816,definition,
( spl0_51
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
thf(f817,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f816]) ).
thf(f818,plain,
( spl0_51
| spl0_15
| spl0_14
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f769,f103,f190,f194,f816]) ).
thf(f828,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f30,f431]) ).
thf(f830,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f828]) ).
thf(f832,definition,
( spl0_52
<=> ! [X2: $i,X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f833,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f832]) ).
thf(f835,definition,
( spl0_53
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f836,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f835]) ).
thf(f837,plain,
( spl0_52
| spl0_53 ),
inference(avatar_split_clause,[],[f830,f835,f832]) ).
thf(f843,definition,
( spl0_54
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
thf(f844,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f843]) ).
thf(f846,definition,
( spl0_55
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
thf(f847,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_55 ),
inference(avatar_component_clause,[],[f846]) ).
thf(f857,definition,
( spl0_57
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
thf(f858,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f857]) ).
thf(f862,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f432,f836]) ).
thf(f863,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f391,f862]) ).
thf(f866,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_53 ),
inference(constrained_superposition,[],[f88,f862]) ).
thf(f868,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f69,f862]) ).
thf(f869,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f49,f862]) ).
thf(f879,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f863]) ).
thf(f881,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f868]) ).
thf(f883,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f869]) ).
thf(f887,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_3
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f866]) ).
thf(f890,definition,
( spl0_58
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f891,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_58 ),
inference(avatar_component_clause,[],[f890]) ).
thf(f893,definition,
( spl0_59
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f894,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f893]) ).
thf(f898,definition,
( spl0_60
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
thf(f899,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| spl0_60 ),
inference(avatar_component_clause,[],[f898]) ).
thf(f904,definition,
( spl0_62
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
thf(f905,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f904]) ).
thf(f907,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f879,f836]) ).
thf(f909,definition,
( spl0_63
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
thf(f910,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f909]) ).
thf(f911,plain,
( spl0_63
| ~ spl0_60
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f881,f835,f898,f909]) ).
thf(f916,definition,
( spl0_65
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
thf(f917,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_65 ),
inference(avatar_component_clause,[],[f916]) ).
thf(f920,definition,
( spl0_66
<=> ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f921,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f920]) ).
thf(f923,definition,
( spl0_67
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
thf(f924,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f923]) ).
thf(f925,plain,
( ~ spl0_58
| spl0_66
| spl0_67
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f883,f835,f923,f920,f890]) ).
thf(f929,definition,
( spl0_68
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f930,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f929]) ).
thf(f931,plain,
( ~ spl0_58
| spl0_68
| ~ spl0_3
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f887,f835,f80,f929,f890]) ).
thf(f932,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f907,f31]) ).
thf(f933,plain,
( spl0_59
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f932,f835,f893]) ).
thf(f944,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f69,f844]) ).
thf(f961,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f944]) ).
thf(f966,definition,
( spl0_69
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f967,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f966]) ).
thf(f973,definition,
( spl0_71
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f974,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f973]) ).
thf(f979,definition,
( spl0_73
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
thf(f980,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f979]) ).
thf(f983,definition,
( spl0_74
<=> ! [X1: $i] :
( ( z = X1 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ z @ X1 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
thf(f984,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( z = X1 )
| ( ( r @ z @ X1 )
= $true ) )
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f983]) ).
thf(f986,definition,
( spl0_75
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
thf(f987,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f986]) ).
thf(f990,definition,
( spl0_76
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
thf(f991,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f990]) ).
thf(f993,definition,
( spl0_77
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
thf(f994,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f993]) ).
thf(f1001,definition,
( spl0_79
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
thf(f1002,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) )
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f1001]) ).
thf(f1003,plain,
( spl0_71
| spl0_79
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f961,f843,f1001,f973]) ).
thf(f1009,definition,
( spl0_81
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
thf(f1010,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f1009]) ).
thf(f1016,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_55 ),
inference(constrained_superposition,[],[f847,f156]) ).
thf(f1018,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_55 ),
inference(trivial_inequality_removal,[],[f1016]) ).
thf(f1025,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_55 ),
inference(constrained_superposition,[],[f122,f1018]) ).
thf(f1026,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| spl0_55 ),
inference(constrained_superposition,[],[f69,f1018]) ).
thf(f1043,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_55 ),
inference(trivial_inequality_removal,[],[f1025]) ).
thf(f1044,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_55 ),
inference(trivial_inequality_removal,[],[f1026]) ).
thf(f1048,definition,
( spl0_83
<=> ! [X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f1049,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1048]) ).
thf(f1054,plain,
( spl0_31
| ~ spl0_29
| spl0_76
| spl0_55 ),
inference(avatar_split_clause,[],[f1043,f846,f990,f314,f321]) ).
thf(f1056,definition,
( spl0_85
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
thf(f1057,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f1056]) ).
thf(f1058,plain,
( spl0_85
| spl0_71
| ~ spl0_29
| spl0_55 ),
inference(avatar_split_clause,[],[f1044,f846,f314,f973,f1056]) ).
thf(f1062,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_58 ),
inference(constrained_superposition,[],[f891,f29]) ).
thf(f1063,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_58 ),
inference(trivial_inequality_removal,[],[f1062]) ).
thf(f1065,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_53
| spl0_58 ),
inference(forward_subsumption_resolution,[],[f1063,f836]) ).
thf(f1068,plain,
( $false
| ~ spl0_53
| spl0_58 ),
inference(forward_subsumption_resolution,[],[f1065,f31]) ).
thf(f1069,plain,
( ~ spl0_53
| spl0_58 ),
inference(avatar_contradiction_clause,[],[f1068]) ).
thf(f1070,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_60 ),
inference(constrained_superposition,[],[f899,f56]) ).
thf(f1071,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_60 ),
inference(constrained_superposition,[],[f899,f38]) ).
thf(f1074,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_60 ),
inference(trivial_inequality_removal,[],[f1071]) ).
thf(f1075,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_60 ),
inference(trivial_inequality_removal,[],[f1070]) ).
thf(f1077,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_53
| spl0_60 ),
inference(forward_subsumption_resolution,[],[f1074,f836]) ).
thf(f1078,plain,
( $false
| ~ spl0_53
| spl0_60 ),
inference(forward_subsumption_resolution,[],[f1075,f836]) ).
thf(f1079,plain,
( ~ spl0_53
| spl0_60 ),
inference(avatar_contradiction_clause,[],[f1078]) ).
thf(f1080,plain,
( $false
| ~ spl0_53
| spl0_60 ),
inference(forward_subsumption_resolution,[],[f1077,f31]) ).
thf(f1081,plain,
( ~ spl0_53
| spl0_60 ),
inference(avatar_contradiction_clause,[],[f1080]) ).
thf(f1082,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) ) )
| ~ spl0_66 ),
inference(constrained_superposition,[],[f30,f921]) ).
thf(f1083,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f1082]) ).
thf(f1088,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_65 ),
inference(constrained_superposition,[],[f917,f38]) ).
thf(f1093,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_65 ),
inference(trivial_inequality_removal,[],[f1088]) ).
thf(f1098,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_53
| spl0_65 ),
inference(forward_subsumption_resolution,[],[f1093,f836]) ).
thf(f1102,plain,
( spl0_26
| ~ spl0_53
| spl0_65 ),
inference(avatar_split_clause,[],[f1098,f916,f835,f288]) ).
thf(f1134,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_18 ),
inference(avatar_component_clause,[],[f204]) ).
thf(f1136,plain,
( spl0_18
| spl0_51
| spl0_14
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f745,f80,f190,f816,f204]) ).
thf(f1140,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_14
| ~ spl0_39 ),
inference(constrained_superposition,[],[f506,f191]) ).
thf(f1142,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_14
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f1140]) ).
thf(f1190,definition,
( spl0_89
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
thf(f1191,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f1190]) ).
thf(f1195,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| spl0_1 ),
inference(avatar_component_clause,[],[f73]) ).
thf(f1197,definition,
( spl0_90
<=> ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
thf(f1198,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f1197]) ).
thf(f1236,definition,
( spl0_91
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
thf(f1237,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_91 ),
inference(avatar_component_clause,[],[f1236]) ).
thf(f1239,definition,
( spl0_92
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
thf(f1240,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f1239]) ).
thf(f1250,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_91 ),
inference(constrained_superposition,[],[f1237,f29]) ).
thf(f1251,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_91 ),
inference(trivial_inequality_removal,[],[f1250]) ).
thf(f1255,definition,
( spl0_93
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
thf(f1256,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f1255]) ).
thf(f1257,plain,
( spl0_76
| spl0_93
| spl0_91 ),
inference(avatar_split_clause,[],[f1251,f1236,f1255,f990]) ).
thf(f1285,definition,
( spl0_94
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
thf(f1286,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f1285]) ).
thf(f1298,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_4
| ~ spl0_46 ),
inference(constrained_superposition,[],[f685,f84]) ).
thf(f1301,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_4
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1298]) ).
thf(f1337,plain,
( ( $true != $true )
| ~ spl0_4
| ~ spl0_35 ),
inference(constrained_superposition,[],[f352,f84]) ).
thf(f1343,plain,
( $false
| ~ spl0_4
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f1337]) ).
thf(f1344,plain,
( ~ spl0_4
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1343]) ).
thf(f1484,definition,
( spl0_96
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
thf(f1485,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f1484]) ).
thf(f1489,definition,
( spl0_97
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f1490,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f1489]) ).
thf(f1544,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_40
| ~ spl0_53 ),
inference(constrained_superposition,[],[f836,f608]) ).
thf(f1548,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f30,f608]) ).
thf(f1550,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1548]) ).
thf(f1551,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_40
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f1544]) ).
thf(f1556,definition,
( spl0_100
<=> ! [X2: $i,X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
thf(f1557,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f1556]) ).
thf(f1558,plain,
( spl0_100
| spl0_19
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1550,f607,f210,f1556]) ).
thf(f1559,plain,
( $false
| ~ spl0_40
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f1551,f836]) ).
thf(f1560,plain,
( ~ spl0_40
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f1559]) ).
thf(f1563,plain,
( $false
| ~ spl0_53
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f980,f836]) ).
thf(f1564,plain,
( ~ spl0_53
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f1563]) ).
thf(f1569,plain,
( $false
| ~ spl0_53
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f974,f836]) ).
thf(f1570,plain,
( ~ spl0_53
| ~ spl0_71 ),
inference(avatar_contradiction_clause,[],[f1569]) ).
thf(f1571,plain,
( ~ spl0_18
| ~ spl0_14
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1142,f505,f190,f204]) ).
thf(f1577,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_46
| ~ spl0_69 ),
inference(constrained_superposition,[],[f1301,f967]) ).
thf(f1579,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_4
| ~ spl0_46
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f1577]) ).
thf(f1581,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_46
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f1579,f31]) ).
thf(f1582,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_46
| ~ spl0_53
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f1581,f836]) ).
thf(f1583,plain,
( spl0_93
| ~ spl0_4
| ~ spl0_46
| ~ spl0_53
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f1582,f966,f835,f684,f83,f1255]) ).
thf(f1611,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_68 ),
inference(constrained_superposition,[],[f30,f930]) ).
thf(f1612,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_68 ),
inference(trivial_inequality_removal,[],[f1611]) ).
thf(f1616,definition,
( spl0_102
<=> ! [X2: $i,X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
thf(f1617,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f1616]) ).
thf(f1618,plain,
( spl0_102
| spl0_47
| ~ spl0_68 ),
inference(avatar_split_clause,[],[f1612,f929,f687,f1616]) ).
thf(f1629,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_102 ),
inference(constrained_superposition,[],[f1617,f156]) ).
thf(f1635,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_102 ),
inference(trivial_inequality_removal,[],[f1629]) ).
thf(f1641,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| spl0_14 ),
inference(avatar_component_clause,[],[f190]) ).
thf(f1642,plain,
( spl0_75
| ~ spl0_14
| ~ spl0_102 ),
inference(avatar_split_clause,[],[f1635,f1616,f190,f986]) ).
thf(f1657,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_51 ),
inference(constrained_superposition,[],[f817,f36]) ).
thf(f1660,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_51 ),
inference(trivial_inequality_removal,[],[f1657]) ).
thf(f1662,plain,
( spl0_40
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1660,f816,f607]) ).
thf(f1664,definition,
( spl0_104
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
thf(f1665,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f1664]) ).
thf(f1668,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_58 ),
inference(constrained_superposition,[],[f891,f36]) ).
thf(f1671,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_58 ),
inference(trivial_inequality_removal,[],[f1668]) ).
thf(f1673,plain,
( spl0_73
| spl0_58 ),
inference(avatar_split_clause,[],[f1671,f890,f979]) ).
thf(f1679,definition,
( spl0_105
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
thf(f1680,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f1679]) ).
thf(f1692,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_43
| spl0_55 ),
inference(constrained_superposition,[],[f847,f620]) ).
thf(f1695,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_43
| spl0_55 ),
inference(trivial_inequality_removal,[],[f1692]) ).
thf(f1699,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f391,f1485]) ).
thf(f1701,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_62
| ~ spl0_96 ),
inference(constrained_superposition,[],[f905,f1485]) ).
thf(f1703,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_3
| ~ spl0_96 ),
inference(constrained_superposition,[],[f88,f1485]) ).
thf(f1713,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_3
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f1703]) ).
thf(f1716,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f1699]) ).
thf(f1718,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_62
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f1701]) ).
thf(f1727,plain,
( spl0_73
| ~ spl0_28
| spl0_71
| ~ spl0_3
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1713,f1484,f80,f973,f310,f979]) ).
thf(f1729,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_18
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f1716,f1134]) ).
thf(f1730,plain,
( ~ spl0_29
| ~ spl0_62
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1718,f1484,f904,f314]) ).
thf(f1734,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_18
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f1729,f31]) ).
thf(f1736,plain,
( spl0_85
| spl0_73
| spl0_18
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f1734,f1484,f204,f979,f1056]) ).
thf(f1739,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_76
| ~ spl0_97 ),
inference(constrained_superposition,[],[f1490,f991]) ).
thf(f1747,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_76
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f1739]) ).
thf(f1749,plain,
( $false
| ~ spl0_1
| ~ spl0_76
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f1747,f74]) ).
thf(f1750,plain,
( ~ spl0_1
| ~ spl0_76
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f1749]) ).
thf(f1753,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_43
| spl0_55 ),
inference(forward_subsumption_resolution,[],[f1695,f31]) ).
thf(f1755,plain,
( spl0_57
| spl0_69
| ~ spl0_43
| spl0_55 ),
inference(avatar_split_clause,[],[f1753,f846,f619,f966,f857]) ).
thf(f1761,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_57 ),
inference(constrained_superposition,[],[f155,f858]) ).
thf(f1864,definition,
( spl0_106
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
thf(f1865,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f1864]) ).
thf(f1867,definition,
( spl0_107
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
thf(f1868,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f1867]) ).
thf(f1876,definition,
( spl0_108
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
thf(f1877,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f1876]) ).
thf(f1880,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f916]) ).
thf(f1886,definition,
( spl0_109
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
thf(f1887,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_109 ),
inference(avatar_component_clause,[],[f1886]) ).
thf(f1889,definition,
( spl0_110
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
thf(f1890,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1889]) ).
thf(f1892,definition,
( spl0_111
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
thf(f1893,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1892]) ).
thf(f1896,definition,
( spl0_112
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
thf(f1897,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f1896]) ).
thf(f1903,definition,
( spl0_113
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
thf(f1904,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f1903]) ).
thf(f1906,definition,
( spl0_114
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
thf(f1907,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_114 ),
inference(avatar_component_clause,[],[f1906]) ).
thf(f1910,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f1761,f32]) ).
thf(f1920,definition,
( spl0_115
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
thf(f1921,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f1920]) ).
thf(f1928,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f1910,f27]) ).
thf(f1929,plain,
~ spl0_57,
inference(avatar_contradiction_clause,[],[f1928]) ).
thf(f1958,definition,
( spl0_116
<=> ! [X1: $i] :
( ( ( s @ ( s @ z ) )
= X1 )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
thf(f1959,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1958]) ).
thf(f1972,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_65 ),
inference(constrained_superposition,[],[f917,f29]) ).
thf(f1976,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_65 ),
inference(trivial_inequality_removal,[],[f1972]) ).
thf(f1980,plain,
( spl0_57
| spl0_81
| spl0_65 ),
inference(avatar_split_clause,[],[f1976,f916,f1009,f857]) ).
thf(f1990,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f211,f156]) ).
thf(f1993,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1990]) ).
thf(f2008,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_59 ),
inference(constrained_superposition,[],[f894,f1993]) ).
thf(f2023,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f2008]) ).
thf(f2072,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ~ spl0_19
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f2023,f1993]) ).
thf(f2073,plain,
( spl0_89
| ~ spl0_19
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f2072,f893,f210,f1190]) ).
thf(f2080,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f329,f155]) ).
thf(f2085,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f2080]) ).
thf(f2120,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f1057,f29]) ).
thf(f2125,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f1057,f37]) ).
thf(f2128,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f2125]) ).
thf(f2131,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f2120]) ).
thf(f2132,plain,
( ~ spl0_24
| spl0_69
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f2128,f1056,f966,f264]) ).
thf(f2133,plain,
( spl0_83
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f2131,f1056,f1048]) ).
thf(f2134,plain,
( spl0_51
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f2085,f328,f816]) ).
thf(f2135,plain,
( ( $true != $true )
| ~ spl0_53
| ~ spl0_81 ),
inference(constrained_superposition,[],[f836,f1010]) ).
thf(f2138,plain,
( $false
| ~ spl0_53
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f2135]) ).
thf(f2139,plain,
( ~ spl0_53
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f2138]) ).
thf(f2140,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_69
| ~ spl0_104 ),
inference(constrained_superposition,[],[f1665,f967]) ).
thf(f2143,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_69
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f2140]) ).
thf(f2144,plain,
( $false
| ~ spl0_4
| ~ spl0_69
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f2143,f84]) ).
thf(f2145,plain,
( ~ spl0_4
| ~ spl0_69
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f2144]) ).
thf(f2147,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ z @ X0 )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f409,f1880]) ).
thf(f2148,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_31
| ~ spl0_65 ),
inference(constrained_superposition,[],[f322,f1880]) ).
thf(f2149,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f122,f1880]) ).
thf(f2159,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_31
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f2148]) ).
thf(f2165,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f2147]) ).
thf(f2168,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f2149]) ).
thf(f2171,plain,
( ~ spl0_60
| ~ spl0_31
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f2159,f916,f321,f898]) ).
thf(f2173,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_53
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f2165,f836]) ).
thf(f2175,plain,
( spl0_62
| spl0_11
| ~ spl0_60
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f2168,f916,f898,f180,f904]) ).
thf(f2177,definition,
( spl0_119
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
thf(f2178,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f2177]) ).
thf(f2180,plain,
( spl0_43
| ~ spl0_28
| ~ spl0_53
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f2173,f916,f835,f310,f619]) ).
thf(f2205,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_105 ),
inference(constrained_superposition,[],[f1680,f431]) ).
thf(f2207,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_76
| ~ spl0_105 ),
inference(constrained_superposition,[],[f1680,f991]) ).
thf(f2210,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_76
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f2207]) ).
thf(f2213,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f2205]) ).
thf(f2236,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f308,f57]) ).
thf(f2243,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f2236]) ).
thf(f2245,definition,
( spl0_121
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
thf(f2246,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f2245]) ).
thf(f2249,definition,
( spl0_122
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
thf(f2250,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f2249]) ).
thf(f2251,plain,
( ~ spl0_23
| spl0_122
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f2243,f307,f2249,f260]) ).
thf(f2253,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_100 ),
inference(constrained_superposition,[],[f1557,f431]) ).
thf(f2261,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_100 ),
inference(trivial_inequality_removal,[],[f2253]) ).
thf(f2269,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f318,f57]) ).
thf(f2270,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f318,f37]) ).
thf(f2271,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f2269]) ).
thf(f2275,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f2270]) ).
thf(f2278,definition,
( spl0_123
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
thf(f2279,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f2278]) ).
thf(f2280,plain,
( spl0_123
| ~ spl0_23
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f2271,f317,f260,f2278]) ).
thf(f2282,definition,
( spl0_124
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
thf(f2283,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f2282]) ).
thf(f2284,plain,
( ~ spl0_24
| spl0_124
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f2275,f317,f2282,f264]) ).
thf(f2285,plain,
( $false
| ~ spl0_11
| ~ spl0_76
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f181,f2210]) ).
thf(f2286,plain,
( ~ spl0_11
| ~ spl0_76
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[],[f2285]) ).
thf(f2295,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f894,f57]) ).
thf(f2298,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_59 ),
inference(trivial_inequality_removal,[],[f2295]) ).
thf(f2312,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_15 ),
inference(avatar_component_clause,[],[f194]) ).
thf(f2315,definition,
( spl0_125
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
thf(f2316,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f2315]) ).
thf(f2317,plain,
( spl0_73
| spl0_125
| ~ spl0_100 ),
inference(avatar_split_clause,[],[f2261,f1556,f2315,f979]) ).
thf(f2318,plain,
( spl0_125
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f2213,f1679,f2315]) ).
thf(f2319,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_69 ),
inference(avatar_component_clause,[],[f966]) ).
thf(f2448,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_104 ),
inference(constrained_superposition,[],[f1665,f431]) ).
thf(f2455,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f2448]) ).
thf(f2693,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_52
| ~ spl0_123 ),
inference(constrained_superposition,[],[f833,f2279]) ).
thf(f2706,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_52
| ~ spl0_123 ),
inference(trivial_inequality_removal,[],[f2693]) ).
thf(f2711,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_52
| ~ spl0_76
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f2706,f991]) ).
thf(f2714,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_52
| ~ spl0_76
| ~ spl0_104
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f2711,f2455]) ).
thf(f2716,plain,
( spl0_90
| ~ spl0_52
| ~ spl0_76
| ~ spl0_104
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f2714,f2278,f1664,f990,f832,f1197]) ).
thf(f2717,plain,
( ~ spl0_91
| spl0_92
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f2298,f893,f1239,f1236]) ).
thf(f2722,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_76 ),
inference(avatar_component_clause,[],[f990]) ).
thf(f2727,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_11 ),
inference(avatar_component_clause,[],[f180]) ).
thf(f2754,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f391,f1880]) ).
thf(f2757,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f69,f1880]) ).
thf(f2763,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f410,f1880]) ).
thf(f2767,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f2763]) ).
thf(f2768,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f2757]) ).
thf(f2772,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f2754]) ).
thf(f2776,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_53
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f2767,f836]) ).
thf(f2777,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_14
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f2768,f1641]) ).
thf(f2779,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) ) )
| spl0_18
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f2772,f1134]) ).
thf(f2781,plain,
( spl0_116
| spl0_119
| ~ spl0_53
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f2776,f916,f835,f2177,f1958]) ).
thf(f2782,plain,
( ~ spl0_60
| spl0_85
| spl0_14
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f2777,f916,f190,f1056,f898]) ).
thf(f2783,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_18
| ~ spl0_53
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f2779,f836]) ).
thf(f2785,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_18
| ~ spl0_53
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f2783,f31]) ).
thf(f2786,plain,
( spl0_85
| spl0_18
| ~ spl0_53
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f2785,f916,f835,f204,f1056]) ).
thf(f2791,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f1057,f57]) ).
thf(f2793,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f2791]) ).
thf(f3276,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_18
| ~ spl0_119 ),
inference(constrained_superposition,[],[f1134,f2178]) ).
thf(f3277,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_14
| ~ spl0_119 ),
inference(constrained_superposition,[],[f1641,f2178]) ).
thf(f3291,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_18
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f3276]) ).
thf(f3294,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_14
| ~ spl0_119 ),
inference(trivial_inequality_removal,[],[f3277]) ).
thf(f3299,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_18
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f3291,f31]) ).
thf(f3300,plain,
( spl0_93
| spl0_26
| spl0_14
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f3294,f2177,f190,f288,f1255]) ).
thf(f3301,plain,
( $false
| spl0_18
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f3299,f31]) ).
thf(f3302,plain,
( spl0_18
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[],[f3301]) ).
thf(f3303,plain,
( spl0_76
| ~ spl0_23
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f2793,f1056,f260,f990]) ).
thf(f3323,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_20
| ~ spl0_81 ),
inference(constrained_superposition,[],[f214,f1010]) ).
thf(f3326,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_20
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f3323]) ).
thf(f3361,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f1049,f57]) ).
thf(f3366,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f3361]) ).
thf(f3369,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_76
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f3366,f2722]) ).
thf(f3370,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_11
| spl0_76
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f3369,f2727]) ).
thf(f3371,plain,
( spl0_93
| spl0_11
| spl0_76
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f3370,f1048,f990,f180,f1255]) ).
thf(f3413,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_94 ),
inference(constrained_superposition,[],[f30,f1286]) ).
thf(f3418,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_94 ),
inference(trivial_inequality_removal,[],[f3413]) ).
thf(f3421,definition,
( spl0_146
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f3422,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f3421]) ).
thf(f3423,plain,
( spl0_146
| spl0_47
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f3418,f1285,f687,f3421]) ).
thf(f3426,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_75 ),
inference(constrained_superposition,[],[f391,f987]) ).
thf(f3428,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_59
| ~ spl0_75 ),
inference(constrained_superposition,[],[f894,f987]) ).
thf(f3444,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_75 ),
inference(duplicate_literal_removal,[],[f3428]) ).
thf(f3445,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_59
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f3444]) ).
thf(f3446,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_75 ),
inference(duplicate_literal_removal,[],[f3426]) ).
thf(f3447,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_75 ),
inference(trivial_inequality_removal,[],[f3446]) ).
thf(f3462,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_96 ),
inference(avatar_component_clause,[],[f1484]) ).
thf(f3463,plain,
( spl0_89
| ~ spl0_96
| ~ spl0_59
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f3445,f986,f893,f1484,f1190]) ).
thf(f3464,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| spl0_18
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f3447,f1134]) ).
thf(f3466,definition,
( spl0_148
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f3467,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f3466]) ).
thf(f3474,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| spl0_18
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f3464,f31]) ).
thf(f3475,plain,
( spl0_148
| spl0_18
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f3474,f986,f204,f3466]) ).
thf(f3482,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f846]) ).
thf(f3491,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_74 ),
inference(constrained_superposition,[],[f30,f984]) ).
thf(f3503,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f3491]) ).
thf(f3606,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_14
| ~ spl0_49 ),
inference(constrained_superposition,[],[f1641,f750]) ).
thf(f3613,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_14
| ~ spl0_49 ),
inference(trivial_inequality_removal,[],[f3606]) ).
thf(f3619,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_11
| spl0_14
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f3613,f2727]) ).
thf(f3625,plain,
( $false
| spl0_11
| spl0_14
| spl0_18
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f3619,f1134]) ).
thf(f3626,plain,
( spl0_11
| spl0_14
| spl0_18
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f3625]) ).
thf(f3700,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f122,f844]) ).
thf(f3704,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_54 ),
inference(constrained_superposition,[],[f33,f844]) ).
thf(f3709,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3704]) ).
thf(f3715,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_54 ),
inference(trivial_inequality_removal,[],[f3700]) ).
thf(f3739,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(constrained_superposition,[],[f122,f432]) ).
thf(f3743,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f33,f432]) ).
thf(f3754,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f3739]) ).
thf(f3756,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f3743]) ).
thf(f3769,definition,
( spl0_155
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
thf(f3770,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f3769]) ).
thf(f3771,plain,
( spl0_155
| ~ spl0_60
| spl0_62 ),
inference(avatar_split_clause,[],[f3754,f904,f898,f3769]) ).
thf(f3773,definition,
( spl0_156
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f3774,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f3773]) ).
thf(f3778,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_60 ),
inference(constrained_superposition,[],[f899,f29]) ).
thf(f3780,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_60 ),
inference(trivial_inequality_removal,[],[f3778]) ).
thf(f3783,plain,
( spl0_71
| spl0_93
| spl0_60 ),
inference(avatar_split_clause,[],[f3780,f898,f1255,f973]) ).
thf(f3790,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f3756,f57]) ).
thf(f3793,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f3790]) ).
thf(f3800,plain,
( ~ spl0_91
| spl0_62
| spl0_155 ),
inference(avatar_split_clause,[],[f3793,f3769,f904,f1236]) ).
thf(f3806,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f30,f3774]) ).
thf(f3808,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f3806]) ).
thf(f3822,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_155 ),
inference(constrained_superposition,[],[f30,f3770]) ).
thf(f3826,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f3822]) ).
thf(f3838,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 ) )
| ~ spl0_43
| ~ spl0_74 ),
inference(constrained_superposition,[],[f3503,f620]) ).
thf(f3841,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_43
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f3838]) ).
thf(f3845,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_43
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f3841,f31]) ).
thf(f3847,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_43
| spl0_69
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f3845,f2319]) ).
thf(f3849,definition,
( spl0_157
<=> ! [X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
thf(f3850,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f3849]) ).
thf(f3851,plain,
( spl0_157
| spl0_57
| ~ spl0_43
| spl0_69
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f3847,f983,f966,f619,f857,f3849]) ).
thf(f3859,plain,
( $false
| ~ spl0_20
| ~ spl0_73
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f980,f3326]) ).
thf(f3860,plain,
( ~ spl0_20
| ~ spl0_73
| ~ spl0_81 ),
inference(avatar_contradiction_clause,[],[f3859]) ).
thf(f3982,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_74 ),
inference(constrained_superposition,[],[f30,f984]) ).
thf(f3992,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X2 @ X0 ) ) )
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f3982]) ).
thf(f4016,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_55
| ~ spl0_74 ),
inference(constrained_superposition,[],[f3992,f3482]) ).
thf(f4022,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl0_55
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f4016]) ).
thf(f4026,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ X2 ) ) )
| ( $true != $true )
| ( z = X1 )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X2 ) ) )
| ( ( s @ X2 )
= X0 ) ),
inference(constrained_superposition,[],[f729,f29]) ).
thf(f4028,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( z = X0 )
| ( z = X1 )
| ( $true
= ( r @ X0 @ ( s @ X2 ) ) )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ z @ ( s @ X2 ) ) )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ X2 )
= X0 ) ),
inference(trivial_inequality_removal,[],[f4026]) ).
thf(f4029,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X2 ) ) )
| ( $true
= ( r @ X0 @ ( s @ X2 ) ) )
| ( z = X0 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( s @ X2 )
= X0 )
| ( z = X1 )
| ( $true != $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( r @ X0 @ z )
= $true ) ),
inference(constrained_superposition,[],[f733,f29]) ).
thf(f4031,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ X2 ) ) )
| ( ( s @ X2 )
= X0 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X2 ) ) )
| ( z = X0 )
| ( z = X1 ) ),
inference(trivial_inequality_removal,[],[f4029]) ).
thf(f4058,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f135,f155]) ).
thf(f4067,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f4058]) ).
thf(f4074,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_10
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f4067,f2727]) ).
thf(f4076,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10
| spl0_11
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f4074,f1134]) ).
thf(f4078,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_10
| spl0_11
| spl0_18 ),
inference(constrained_superposition,[],[f4076,f56]) ).
thf(f4082,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_10
| spl0_11
| spl0_18 ),
inference(trivial_inequality_removal,[],[f4078]) ).
thf(f4100,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_10
| spl0_11
| spl0_18 ),
inference(constrained_superposition,[],[f30,f4082]) ).
thf(f4105,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_10
| spl0_11
| spl0_18 ),
inference(trivial_inequality_removal,[],[f4100]) ).
thf(f4115,definition,
( spl0_160
<=> ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f4116,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( r @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f4115]) ).
thf(f4117,plain,
( spl0_160
| spl0_19
| ~ spl0_10
| spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f4105,f204,f180,f134,f210,f4115]) ).
thf(f4130,definition,
( spl0_163
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
thf(f4131,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f4130]) ).
thf(f4132,plain,
( spl0_18
| spl0_163
| ~ spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f4074,f180,f134,f4130,f204]) ).
thf(f4193,definition,
( spl0_165
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f4194,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true ) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f4193]) ).
thf(f4252,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) ),
inference(constrained_superposition,[],[f4028,f155]) ).
thf(f4257,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f4252]) ).
thf(f4276,definition,
( spl0_166
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
thf(f4277,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) ) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f4276]) ).
thf(f4351,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true ) ),
inference(constrained_superposition,[],[f567,f37]) ).
thf(f4353,plain,
! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( z = X1 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( s @ X0 )
= X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f4351]) ).
thf(f4364,plain,
! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X1 ) ) ) ),
inference(constrained_superposition,[],[f4353,f29]) ).
thf(f4366,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true ) ),
inference(duplicate_literal_removal,[],[f4364]) ).
thf(f4367,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) ),
inference(trivial_inequality_removal,[],[f4366]) ).
thf(f4594,definition,
( spl0_170
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_170])],[avatar_definition]) ).
thf(f4595,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f4594]) ).
thf(f4596,plain,
( ( ( s @ ( s @ z ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_57 ),
inference(avatar_component_clause,[],[f857]) ).
thf(f4598,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_57 ),
inference(extensionality_resolution,[],[f157,f4596]) ).
thf(f4599,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_57 ),
inference(extensionality_resolution,[],[f157,f4596]) ).
thf(f4600,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_57 ),
inference(extensionality_resolution,[],[f42,f4596]) ).
thf(f4602,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_57 ),
inference(extensionality_resolution,[],[f58,f4596]) ).
thf(f4603,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_57 ),
inference(extensionality_resolution,[],[f58,f4596]) ).
thf(f4610,definition,
( spl0_171
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
thf(f4611,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f4610]) ).
thf(f4613,definition,
( spl0_172
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
thf(f4614,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f4613]) ).
thf(f4615,plain,
( spl0_171
| spl0_172
| spl0_57 ),
inference(avatar_split_clause,[],[f4603,f857,f4613,f4610]) ).
thf(f4617,definition,
( spl0_173
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
thf(f4618,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_173 ),
inference(avatar_component_clause,[],[f4617]) ).
thf(f4620,definition,
( spl0_174
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
thf(f4621,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f4620]) ).
thf(f4622,plain,
( spl0_173
| spl0_174
| spl0_57 ),
inference(avatar_split_clause,[],[f4598,f857,f4620,f4617]) ).
thf(f4624,definition,
( spl0_175
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f4625,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f4624]) ).
thf(f4627,definition,
( spl0_176
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
thf(f4628,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f4627]) ).
thf(f4629,plain,
( spl0_175
| spl0_176
| spl0_57 ),
inference(avatar_split_clause,[],[f4599,f857,f4627,f4624]) ).
thf(f4631,definition,
( spl0_177
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f4632,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f4631]) ).
thf(f4634,definition,
( spl0_178
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
thf(f4635,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f4634]) ).
thf(f4636,plain,
( spl0_177
| spl0_178
| spl0_57 ),
inference(avatar_split_clause,[],[f4602,f857,f4634,f4631]) ).
thf(f4638,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_155
| ~ spl0_171 ),
inference(constrained_superposition,[],[f3826,f4611]) ).
thf(f4642,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_171 ),
inference(constrained_superposition,[],[f833,f4611]) ).
thf(f4646,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_155
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f4638]) ).
thf(f4650,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f4642]) ).
thf(f4655,definition,
( spl0_179
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
thf(f4656,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f4655]) ).
thf(f4658,definition,
( spl0_180
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
thf(f4659,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f4658]) ).
thf(f4660,plain,
( spl0_179
| spl0_180
| ~ spl0_155
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f4646,f4610,f3769,f4658,f4655]) ).
thf(f4662,definition,
( spl0_181
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
thf(f4663,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f4662]) ).
thf(f4665,definition,
( spl0_182
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_182])],[avatar_definition]) ).
thf(f4666,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f4665]) ).
thf(f4669,definition,
( spl0_183
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f4670,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_183 ),
inference(avatar_component_clause,[],[f4669]) ).
thf(f4672,definition,
( spl0_184
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f4673,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f4672]) ).
thf(f4674,plain,
( ~ spl0_183
| spl0_184
| ~ spl0_52
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f4650,f4610,f832,f4672,f4669]) ).
thf(f4676,definition,
( spl0_185
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f4677,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_185 ),
inference(avatar_component_clause,[],[f4676]) ).
thf(f4679,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f4676]) ).
thf(f4682,definition,
( spl0_186
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_186])],[avatar_definition]) ).
thf(f4683,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_186 ),
inference(avatar_component_clause,[],[f4682]) ).
thf(f4725,definition,
( spl0_187
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f4726,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f4725]) ).
thf(f4732,definition,
( spl0_189
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f4733,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f4732]) ).
thf(f4740,definition,
( spl0_191
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f4741,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f4740]) ).
thf(f4744,definition,
( spl0_192
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f4745,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f4744]) ).
thf(f4747,definition,
( spl0_193
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_193])],[avatar_definition]) ).
thf(f4748,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_193 ),
inference(avatar_component_clause,[],[f4747]) ).
thf(f4750,definition,
( spl0_194
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f4751,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f4750]) ).
thf(f4754,definition,
( spl0_195
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_195])],[avatar_definition]) ).
thf(f4755,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_195 ),
inference(avatar_component_clause,[],[f4754]) ).
thf(f4758,definition,
( spl0_196
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
thf(f4759,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_196 ),
inference(avatar_component_clause,[],[f4758]) ).
thf(f4761,definition,
( spl0_197
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f4762,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f4761]) ).
thf(f4765,definition,
( spl0_198
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f4766,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f4765]) ).
thf(f4768,definition,
( spl0_199
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_199])],[avatar_definition]) ).
thf(f4769,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_199 ),
inference(avatar_component_clause,[],[f4768]) ).
thf(f4771,definition,
( spl0_200
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f4772,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f4771]) ).
thf(f4802,definition,
( spl0_204
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_204])],[avatar_definition]) ).
thf(f4803,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f4802]) ).
thf(f4806,definition,
( spl0_205
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_205])],[avatar_definition]) ).
thf(f4807,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f4806]) ).
thf(f4811,definition,
( spl0_206
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).
thf(f4812,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f4811]) ).
thf(f4815,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_196 ),
inference(constrained_superposition,[],[f4759,f36]) ).
thf(f4818,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_196 ),
inference(trivial_inequality_removal,[],[f4815]) ).
thf(f4820,plain,
( spl0_187
| spl0_196 ),
inference(avatar_split_clause,[],[f4818,f4758,f4725]) ).
thf(f4822,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_155
| ~ spl0_185 ),
inference(constrained_superposition,[],[f3826,f4679]) ).
thf(f4831,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_155
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f4822]) ).
thf(f4833,definition,
( spl0_207
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f4834,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f4833]) ).
thf(f4837,plain,
( spl0_180
| spl0_179
| ~ spl0_155
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f4831,f4676,f3769,f4655,f4658]) ).
thf(f4839,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_195 ),
inference(constrained_superposition,[],[f4755,f36]) ).
thf(f4841,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_195 ),
inference(trivial_inequality_removal,[],[f4839]) ).
thf(f4853,definition,
( spl0_208
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
thf(f4854,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f4853]) ).
thf(f4856,definition,
( spl0_209
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f4857,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f4856]) ).
thf(f4861,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_199 ),
inference(constrained_superposition,[],[f4769,f56]) ).
thf(f4863,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_199 ),
inference(constrained_superposition,[],[f4769,f29]) ).
thf(f4865,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_199 ),
inference(trivial_inequality_removal,[],[f4863]) ).
thf(f4866,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_199 ),
inference(trivial_inequality_removal,[],[f4861]) ).
thf(f4869,definition,
( spl0_210
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
thf(f4870,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f4869]) ).
thf(f4871,plain,
( spl0_210
| spl0_107
| spl0_199 ),
inference(avatar_split_clause,[],[f4865,f4768,f1867,f4869]) ).
thf(f4872,plain,
( spl0_107
| spl0_199 ),
inference(avatar_split_clause,[],[f4866,f4768,f1867]) ).
thf(f4875,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_115
| ~ spl0_156 ),
inference(constrained_superposition,[],[f3808,f1921]) ).
thf(f4878,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_39
| ~ spl0_115 ),
inference(constrained_superposition,[],[f506,f1921]) ).
thf(f4881,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_115
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f4875]) ).
thf(f4882,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_39
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f4878]) ).
thf(f4888,plain,
( spl0_187
| spl0_206
| ~ spl0_115
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f4881,f3773,f1920,f4811,f4725]) ).
thf(f4891,definition,
( spl0_211
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f4892,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f4891]) ).
thf(f4952,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_114 ),
inference(constrained_superposition,[],[f1907,f38]) ).
thf(f4953,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_114 ),
inference(constrained_superposition,[],[f1907,f29]) ).
thf(f4954,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_114 ),
inference(trivial_inequality_removal,[],[f4953]) ).
thf(f4956,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_114 ),
inference(trivial_inequality_removal,[],[f4952]) ).
thf(f4959,definition,
( spl0_214
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_214])],[avatar_definition]) ).
thf(f4960,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_214 ),
inference(avatar_component_clause,[],[f4959]) ).
thf(f4961,plain,
( spl0_214
| spl0_108
| spl0_114 ),
inference(avatar_split_clause,[],[f4954,f1906,f1876,f4959]) ).
thf(f4964,definition,
( spl0_215
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_215])],[avatar_definition]) ).
thf(f4965,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f4964]) ).
thf(f4966,plain,
( spl0_215
| spl0_108
| spl0_114 ),
inference(avatar_split_clause,[],[f4956,f1906,f1876,f4964]) ).
thf(f4969,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_112
| ~ spl0_125 ),
inference(constrained_superposition,[],[f2316,f1897]) ).
thf(f4970,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_112
| ~ spl0_155 ),
inference(constrained_superposition,[],[f3826,f1897]) ).
thf(f4975,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_20
| ~ spl0_112 ),
inference(constrained_superposition,[],[f214,f1897]) ).
thf(f4979,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_112
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f4970]) ).
thf(f4982,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_112
| ~ spl0_125 ),
inference(trivial_inequality_removal,[],[f4969]) ).
thf(f4986,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_20
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f4975]) ).
thf(f4987,plain,
( spl0_206
| spl0_198
| ~ spl0_112
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f4979,f3769,f1896,f4765,f4811]) ).
thf(f4989,plain,
( spl0_184
| ~ spl0_112
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f4982,f2315,f1896,f4672]) ).
thf(f4995,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f391,f4673]) ).
thf(f5016,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f4995]) ).
thf(f5030,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_20
| ~ spl0_81
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f5016,f3326]) ).
thf(f5042,definition,
( spl0_218
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_218])],[avatar_definition]) ).
thf(f5043,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_218 ),
inference(avatar_component_clause,[],[f5042]) ).
thf(f5045,definition,
( spl0_219
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
thf(f5046,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f5045]) ).
thf(f5054,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_20
| ~ spl0_39
| ~ spl0_81
| ~ spl0_115
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f5030,f4882]) ).
thf(f5056,definition,
( spl0_221
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
thf(f5057,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f5056]) ).
thf(f5060,definition,
( spl0_222
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f5061,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f5060]) ).
thf(f5064,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_20
| ~ spl0_39
| ~ spl0_81
| ~ spl0_115
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f5054,f31]) ).
thf(f5065,plain,
( spl0_219
| ~ spl0_20
| ~ spl0_39
| ~ spl0_81
| ~ spl0_115
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f5064,f4672,f1920,f1009,f505,f213,f5045]) ).
thf(f5066,plain,
( $false
| ~ spl0_39
| ~ spl0_115
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f4726,f4882]) ).
thf(f5067,plain,
( ~ spl0_39
| ~ spl0_115
| ~ spl0_187 ),
inference(avatar_contradiction_clause,[],[f5066]) ).
thf(f5069,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_218 ),
inference(constrained_superposition,[],[f5043,f56]) ).
thf(f5071,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| spl0_218 ),
inference(constrained_superposition,[],[f5043,f29]) ).
thf(f5073,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_218 ),
inference(trivial_inequality_removal,[],[f5069]) ).
thf(f5074,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_218 ),
inference(trivial_inequality_removal,[],[f5071]) ).
thf(f5105,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f44,f1890]) ).
thf(f5119,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f5105]) ).
thf(f5139,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_39
| ~ spl0_110
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[],[f5119,f4882]) ).
thf(f5142,plain,
( spl0_111
| ~ spl0_28
| ~ spl0_39
| ~ spl0_110
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f5139,f1920,f1889,f505,f310,f1892]) ).
thf(f5150,plain,
( spl0_115
| spl0_215
| spl0_218 ),
inference(avatar_split_clause,[],[f5074,f5042,f4964,f1920]) ).
thf(f5153,plain,
( spl0_115
| spl0_218 ),
inference(avatar_split_clause,[],[f5073,f5042,f1920]) ).
thf(f5189,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f322,f155]) ).
thf(f5195,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f5189]) ).
thf(f5198,plain,
( spl0_163
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f5195,f321,f4130]) ).
thf(f5200,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_198
| ~ spl0_205 ),
inference(constrained_superposition,[],[f4807,f4766]) ).
thf(f5206,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_198
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f5200]) ).
thf(f5210,plain,
( $false
| ~ spl0_1
| ~ spl0_198
| ~ spl0_205 ),
inference(forward_subsumption_resolution,[],[f5206,f74]) ).
thf(f5211,plain,
( ~ spl0_1
| ~ spl0_198
| ~ spl0_205 ),
inference(avatar_contradiction_clause,[],[f5210]) ).
thf(f5231,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f5061,f432]) ).
thf(f5232,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_110
| ~ spl0_222 ),
inference(constrained_superposition,[],[f5061,f1890]) ).
thf(f5241,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_110
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f5232]) ).
thf(f5242,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f5231]) ).
thf(f5244,plain,
( ~ spl0_28
| ~ spl0_110
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f5241,f5060,f1889,f310]) ).
thf(f5245,plain,
( ~ spl0_58
| spl0_194
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f5242,f5060,f4750,f890]) ).
thf(f5246,plain,
( $false
| ~ spl0_20
| ~ spl0_112
| ~ spl0_187 ),
inference(forward_subsumption_resolution,[],[f4726,f4986]) ).
thf(f5247,plain,
( ~ spl0_20
| ~ spl0_112
| ~ spl0_187 ),
inference(avatar_contradiction_clause,[],[f5246]) ).
thf(f5269,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_193 ),
inference(constrained_superposition,[],[f4748,f38]) ).
thf(f5271,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_193 ),
inference(trivial_inequality_removal,[],[f5269]) ).
thf(f5277,definition,
( spl0_227
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f5278,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f5277]) ).
thf(f5279,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f4669]) ).
thf(f5280,plain,
( spl0_227
| spl0_183
| spl0_193 ),
inference(avatar_split_clause,[],[f5271,f4747,f4669,f5277]) ).
thf(f5283,definition,
( spl0_228
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
thf(f5284,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_228 ),
inference(avatar_component_clause,[],[f5283]) ).
thf(f5291,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_155
| ~ spl0_183 ),
inference(constrained_superposition,[],[f3826,f5279]) ).
thf(f5296,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_105
| ~ spl0_183 ),
inference(constrained_superposition,[],[f1680,f5279]) ).
thf(f5302,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_155
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f5291]) ).
thf(f5305,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f5296]) ).
thf(f5309,plain,
( spl0_180
| spl0_179
| ~ spl0_155
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f5302,f4669,f3769,f4655,f4658]) ).
thf(f5318,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_155
| ~ spl0_211 ),
inference(constrained_superposition,[],[f4892,f3770]) ).
thf(f5333,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_155
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f5318]) ).
thf(f5336,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_71 ),
inference(avatar_component_clause,[],[f973]) ).
thf(f5337,plain,
( ~ spl0_71
| spl0_198
| ~ spl0_155
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f5333,f4891,f3769,f4765,f973]) ).
thf(f5339,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_71
| ~ spl0_166 ),
inference(constrained_superposition,[],[f5336,f4277]) ).
thf(f5340,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_71
| ~ spl0_74 ),
inference(constrained_superposition,[],[f5336,f984]) ).
thf(f5342,plain,
( ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_71
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f5340]) ).
thf(f5343,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_71
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f5339]) ).
thf(f5369,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_172
| ~ spl0_221 ),
inference(constrained_superposition,[],[f5057,f4614]) ).
thf(f5370,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f5057,f432]) ).
thf(f5371,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_110
| ~ spl0_221 ),
inference(constrained_superposition,[],[f5057,f1890]) ).
thf(f5374,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_172
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f5369]) ).
thf(f5375,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_110
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f5371]) ).
thf(f5382,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f5370]) ).
thf(f5383,plain,
( ~ spl0_199
| ~ spl0_172
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f5374,f5056,f4613,f4768]) ).
thf(f5384,plain,
( ~ spl0_29
| ~ spl0_110
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f5375,f5056,f1889,f314]) ).
thf(f5385,plain,
( ~ spl0_60
| spl0_194
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f5382,f5056,f4750,f898]) ).
thf(f5387,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_155
| ~ spl0_178 ),
inference(constrained_superposition,[],[f3826,f4635]) ).
thf(f5391,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_178
| ~ spl0_207 ),
inference(constrained_superposition,[],[f4834,f4635]) ).
thf(f5392,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_178 ),
inference(constrained_superposition,[],[f833,f4635]) ).
thf(f5399,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f5392]) ).
thf(f5400,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_178
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f5391]) ).
thf(f5402,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_155
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f5387]) ).
thf(f5405,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_178
| spl0_193 ),
inference(forward_subsumption_resolution,[],[f5399,f4748]) ).
thf(f5406,plain,
( $false
| ~ spl0_178
| ~ spl0_187
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[],[f5400,f4726]) ).
thf(f5407,plain,
( ~ spl0_178
| ~ spl0_187
| ~ spl0_207 ),
inference(avatar_contradiction_clause,[],[f5406]) ).
thf(f5408,plain,
( spl0_198
| spl0_206
| ~ spl0_155
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f5402,f4634,f3769,f4811,f4765]) ).
thf(f5423,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_178
| spl0_193 ),
inference(constrained_superposition,[],[f5405,f431]) ).
thf(f5428,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_178
| spl0_193 ),
inference(trivial_inequality_removal,[],[f5423]) ).
thf(f5430,definition,
( spl0_230
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
thf(f5431,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f5430]) ).
thf(f5436,plain,
( spl0_184
| ~ spl0_52
| ~ spl0_178
| spl0_193 ),
inference(avatar_split_clause,[],[f5428,f4747,f4634,f832,f4672]) ).
thf(f5438,definition,
( spl0_232
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
thf(f5439,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_232 ),
inference(avatar_component_clause,[],[f5438]) ).
thf(f5440,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f4747]) ).
thf(f5441,plain,
( ~ spl0_232
| spl0_193
| ~ spl0_52
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f5399,f4634,f832,f4747,f5438]) ).
thf(f5442,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_187 ),
inference(avatar_component_clause,[],[f4725]) ).
thf(f5531,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f391,f4632]) ).
thf(f5534,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_177 ),
inference(constrained_superposition,[],[f3709,f4632]) ).
thf(f5535,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f174,f4632]) ).
thf(f5537,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f69,f4632]) ).
thf(f5552,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f5531]) ).
thf(f5556,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_54
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f5534]) ).
thf(f5561,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f5535]) ).
thf(f5568,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f5537]) ).
thf(f5570,definition,
( spl0_236
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
thf(f5571,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_236 ),
inference(avatar_component_clause,[],[f5570]) ).
thf(f5572,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_184 ),
inference(avatar_component_clause,[],[f4672]) ).
thf(f5575,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_105
| ~ spl0_177
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f5561,f5305]) ).
thf(f5580,plain,
( spl0_191
| ~ spl0_218
| spl0_107
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f5568,f4631,f1867,f5042,f4740]) ).
thf(f5581,plain,
( ~ spl0_109
| spl0_191
| ~ spl0_105
| ~ spl0_177
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f5575,f4669,f4631,f1679,f4740,f1886]) ).
thf(f5583,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_180
| ~ spl0_207 ),
inference(constrained_superposition,[],[f4834,f4659]) ).
thf(f5591,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_180
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f5583]) ).
thf(f5595,plain,
( $false
| ~ spl0_1
| ~ spl0_180
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[],[f5591,f74]) ).
thf(f5596,plain,
( ~ spl0_1
| ~ spl0_180
| ~ spl0_207 ),
inference(avatar_contradiction_clause,[],[f5595]) ).
thf(f5602,plain,
( spl0_185
| spl0_195 ),
inference(avatar_split_clause,[],[f4841,f4754,f4676]) ).
thf(f5605,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f5552,f31]) ).
thf(f5621,plain,
( spl0_185
| spl0_191
| spl0_187
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f5605,f4631,f4725,f4740,f4676]) ).
thf(f5628,definition,
( spl0_243
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_243])],[avatar_definition]) ).
thf(f5629,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_243 ),
inference(avatar_component_clause,[],[f5628]) ).
thf(f5630,plain,
( spl0_243
| spl0_113
| ~ spl0_54
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f5556,f4631,f843,f1903,f5628]) ).
thf(f5663,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_184 ),
inference(constrained_superposition,[],[f5572,f58]) ).
thf(f5664,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_184 ),
inference(constrained_superposition,[],[f5572,f38]) ).
thf(f5666,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_184 ),
inference(trivial_inequality_removal,[],[f5664]) ).
thf(f5668,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_184 ),
inference(trivial_inequality_removal,[],[f5663]) ).
thf(f5671,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_57
| spl0_184 ),
inference(forward_subsumption_resolution,[],[f5666,f4596]) ).
thf(f5672,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f5438]) ).
thf(f5673,plain,
( spl0_232
| spl0_26
| spl0_184 ),
inference(avatar_split_clause,[],[f5668,f4672,f288,f5438]) ).
thf(f5676,plain,
( spl0_232
| spl0_57
| spl0_184 ),
inference(avatar_split_clause,[],[f5671,f4672,f857,f5438]) ).
thf(f5679,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_155
| ~ spl0_232 ),
inference(constrained_superposition,[],[f3826,f5672]) ).
thf(f5680,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_156
| ~ spl0_232 ),
inference(constrained_superposition,[],[f3808,f5672]) ).
thf(f5688,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_156
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f5680]) ).
thf(f5689,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_155
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f5679]) ).
thf(f5695,plain,
( spl0_206
| spl0_198
| ~ spl0_155
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f5689,f5438,f3769,f4765,f4811]) ).
thf(f5747,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_227 ),
inference(constrained_superposition,[],[f432,f5278]) ).
thf(f5903,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f5747,f27]) ).
thf(f5941,plain,
( $false
| ~ spl0_227 ),
inference(forward_subsumption_resolution,[],[f5903,f32]) ).
thf(f5942,plain,
~ spl0_227,
inference(avatar_contradiction_clause,[],[f5941]) ).
thf(f5961,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_228 ),
inference(constrained_superposition,[],[f432,f5284]) ).
thf(f6114,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_228 ),
inference(forward_subsumption_resolution,[],[f5961,f32]) ).
thf(f6133,plain,
( $false
| ~ spl0_228 ),
inference(forward_subsumption_resolution,[],[f6114,f27]) ).
thf(f6134,plain,
~ spl0_228,
inference(avatar_contradiction_clause,[],[f6133]) ).
thf(f6192,definition,
( spl0_249
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f6193,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f6192]) ).
thf(f6205,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_177
| ~ spl0_249 ),
inference(constrained_superposition,[],[f6193,f4632]) ).
thf(f6214,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_177
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f6205]) ).
thf(f6235,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_111
| ~ spl0_172 ),
inference(constrained_superposition,[],[f1893,f4614]) ).
thf(f6241,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_111
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f6235]) ).
thf(f6249,plain,
( ~ spl0_114
| ~ spl0_111
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f6241,f4613,f1892,f1906]) ).
thf(f6252,plain,
( spl0_187
| spl0_206
| ~ spl0_156
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f5688,f5438,f3773,f4811,f4725]) ).
thf(f6253,plain,
( ~ spl0_196
| ~ spl0_177
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f6214,f6192,f4631,f4758]) ).
thf(f6267,definition,
( spl0_251
<=> ! [X1: $i] :
( ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_251])],[avatar_definition]) ).
thf(f6268,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) ) )
| ~ spl0_251 ),
inference(avatar_component_clause,[],[f6267]) ).
thf(f6272,plain,
( ( $true != $true )
| ~ spl0_19
| ~ spl0_55 ),
inference(constrained_superposition,[],[f211,f3482]) ).
thf(f6275,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_19
| ~ spl0_43 ),
inference(constrained_superposition,[],[f211,f620]) ).
thf(f6279,plain,
( $false
| ~ spl0_19
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f6272]) ).
thf(f6280,plain,
( ~ spl0_19
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f6279]) ).
thf(f6281,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_19
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f6275]) ).
thf(f6286,plain,
( spl0_170
| ~ spl0_19
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f6281,f619,f210,f4594]) ).
thf(f6291,plain,
! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) ) ),
inference(forward_subsumption_resolution,[],[f4257,f31]) ).
thf(f6292,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X1 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X1 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
inference(forward_subsumption_resolution,[],[f6291,f31]) ).
thf(f6293,plain,
( spl0_15
| spl0_251
| spl0_40 ),
inference(avatar_split_clause,[],[f6292,f607,f6267,f194]) ).
thf(f6320,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_14
| ~ spl0_157 ),
inference(constrained_superposition,[],[f3850,f191]) ).
thf(f6323,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_14
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f6320]) ).
thf(f6336,plain,
( ( $true != $true )
| ~ spl0_34
| spl0_69 ),
inference(constrained_superposition,[],[f2319,f332]) ).
thf(f6345,plain,
( $false
| ~ spl0_34
| spl0_69 ),
inference(trivial_inequality_removal,[],[f6336]) ).
thf(f6346,plain,
( ~ spl0_34
| spl0_69 ),
inference(avatar_contradiction_clause,[],[f6345]) ).
thf(f6351,plain,
( ( $true != $true )
| ~ spl0_181
| ~ spl0_232 ),
inference(constrained_superposition,[],[f4663,f5672]) ).
thf(f6362,plain,
( $false
| ~ spl0_181
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f6351]) ).
thf(f6363,plain,
( ~ spl0_181
| ~ spl0_232 ),
inference(avatar_contradiction_clause,[],[f6362]) ).
thf(f6367,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_155
| ~ spl0_187 ),
inference(constrained_superposition,[],[f3826,f4726]) ).
thf(f6376,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_155
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f6367]) ).
thf(f6379,plain,
( spl0_206
| spl0_198
| ~ spl0_155
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f6376,f4725,f3769,f4765,f4811]) ).
thf(f6386,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_21
| ~ spl0_81 ),
inference(constrained_superposition,[],[f220,f1010]) ).
thf(f6387,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_21
| ~ spl0_166 ),
inference(constrained_superposition,[],[f220,f4277]) ).
thf(f6388,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_74 ),
inference(constrained_superposition,[],[f220,f984]) ).
thf(f6390,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_21
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f6388]) ).
thf(f6392,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_21
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f6386]) ).
thf(f6393,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_21
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f6387]) ).
thf(f6395,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_194
| ~ spl0_205 ),
inference(constrained_superposition,[],[f4807,f4751]) ).
thf(f6396,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_155
| ~ spl0_205 ),
inference(constrained_superposition,[],[f4807,f3770]) ).
thf(f6405,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_194
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f6395]) ).
thf(f6406,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_155
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f6396]) ).
thf(f6415,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_156
| ~ spl0_171 ),
inference(constrained_superposition,[],[f3808,f4611]) ).
thf(f6417,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f378,f4611]) ).
thf(f6424,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_156
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f6415]) ).
thf(f6426,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f6417]) ).
thf(f6433,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_156
| ~ spl0_171
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f6424,f4677]) ).
thf(f6434,plain,
( spl0_113
| spl0_186
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f6426,f4610,f4682,f1903]) ).
thf(f6436,plain,
( spl0_179
| ~ spl0_156
| ~ spl0_171
| spl0_185 ),
inference(avatar_split_clause,[],[f6433,f4676,f4610,f3773,f4655]) ).
thf(f6443,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f122,f4614]) ).
thf(f6465,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f6443]) ).
thf(f6477,plain,
( spl0_198
| ~ spl0_199
| spl0_200
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f6465,f4613,f4771,f4768,f4765]) ).
thf(f6486,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_177
| ~ spl0_200 ),
inference(constrained_superposition,[],[f4772,f4632]) ).
thf(f6493,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_177
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f6486]) ).
thf(f6498,plain,
( ~ spl0_218
| ~ spl0_177
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f6493,f4771,f4631,f5042]) ).
thf(f6500,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_107
| ~ spl0_155 ),
inference(constrained_superposition,[],[f3826,f1868]) ).
thf(f6503,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f378,f1868]) ).
thf(f6504,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_39
| ~ spl0_107 ),
inference(constrained_superposition,[],[f506,f1868]) ).
thf(f6509,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_39
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f6504]) ).
thf(f6510,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f6503]) ).
thf(f6513,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 @ ( s @ z ) ) ) ) ) )
| ~ spl0_107
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f6500]) ).
thf(f6515,plain,
( spl0_113
| spl0_186
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f6510,f1867,f4682,f1903]) ).
thf(f6519,plain,
( spl0_179
| spl0_180
| ~ spl0_107
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f6513,f3769,f1867,f4658,f4655]) ).
thf(f6528,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_207
| ~ spl0_236 ),
inference(constrained_superposition,[],[f4834,f5571]) ).
thf(f6529,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_155
| ~ spl0_207 ),
inference(constrained_superposition,[],[f4834,f3770]) ).
thf(f6540,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_207
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f6528]) ).
thf(f6541,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_155
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f6529]) ).
thf(f6566,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_194
| ~ spl0_204 ),
inference(constrained_superposition,[],[f4803,f4751]) ).
thf(f6567,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_155
| ~ spl0_204 ),
inference(constrained_superposition,[],[f4803,f3770]) ).
thf(f6579,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_194
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f6566]) ).
thf(f6583,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_155
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f6567]) ).
thf(f6584,plain,
( $false
| ~ spl0_81
| ~ spl0_194
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f6579,f1010]) ).
thf(f6585,plain,
( ~ spl0_81
| ~ spl0_194
| ~ spl0_204 ),
inference(avatar_contradiction_clause,[],[f6584]) ).
thf(f6586,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_81
| ~ spl0_155
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f6583,f1010]) ).
thf(f6587,plain,
( spl0_198
| ~ spl0_81
| ~ spl0_155
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f6586,f4802,f3769,f1009,f4765]) ).
thf(f6589,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_209
| ~ spl0_236 ),
inference(constrained_superposition,[],[f4857,f5571]) ).
thf(f6591,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_156
| ~ spl0_209 ),
inference(constrained_superposition,[],[f4857,f3774]) ).
thf(f6602,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_209
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f6589]) ).
thf(f6606,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_156
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f6591]) ).
thf(f6611,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| spl0_73 ),
inference(avatar_component_clause,[],[f979]) ).
thf(f6612,plain,
( ~ spl0_73
| spl0_198
| ~ spl0_155
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f6406,f4806,f3769,f4765,f979]) ).
thf(f6613,plain,
( spl0_180
| ~ spl0_73
| ~ spl0_155
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f6541,f4833,f3769,f979,f4658]) ).
thf(f6617,plain,
( spl0_93
| spl0_4
| spl0_71
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f5343,f4276,f973,f83,f1255]) ).
thf(f6622,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_71
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f5342,f31]) ).
thf(f6634,plain,
( ~ spl0_73
| ~ spl0_207
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f6540,f5570,f4833,f979]) ).
thf(f6644,plain,
( ~ spl0_73
| ~ spl0_194
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f6405,f4806,f4750,f979]) ).
thf(f6662,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_14
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f6323,f31]) ).
thf(f6667,plain,
( spl0_93
| spl0_4
| spl0_71
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f6622,f983,f973,f83,f1255]) ).
thf(f6672,plain,
( spl0_47
| spl0_4
| spl0_93
| ~ spl0_14
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f6662,f3849,f190,f1255,f83,f687]) ).
thf(f6751,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_93 ),
inference(constrained_superposition,[],[f56,f1256]) ).
thf(f6882,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f6751,f27]) ).
thf(f6903,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_218 ),
inference(avatar_component_clause,[],[f5042]) ).
thf(f6912,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f898]) ).
thf(f6932,plain,
( $false
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f6882,f32]) ).
thf(f6933,plain,
~ spl0_93,
inference(avatar_contradiction_clause,[],[f6932]) ).
thf(f6950,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_15
| ~ spl0_21
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f6390,f2312]) ).
thf(f6951,plain,
( ~ spl0_71
| ~ spl0_21
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f6392,f1009,f219,f973]) ).
thf(f6952,plain,
( spl0_157
| ~ spl0_55
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f4022,f983,f846,f3849]) ).
thf(f6954,plain,
( ~ spl0_71
| ~ spl0_209
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f6602,f5570,f4856,f973]) ).
thf(f6958,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_15
| ~ spl0_21
| spl0_57
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f6950,f4596]) ).
thf(f6961,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_15
| ~ spl0_21
| spl0_57
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f6958,f31]) ).
thf(f6962,plain,
( ~ spl0_71
| spl0_15
| ~ spl0_21
| spl0_57
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f6961,f983,f857,f219,f194,f973]) ).
thf(f6963,plain,
( ~ spl0_185
| ~ spl0_39
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f6509,f1867,f505,f4676]) ).
thf(f6968,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_21
| spl0_57
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f6393,f4596]) ).
thf(f6974,plain,
( spl0_185
| ~ spl0_71
| ~ spl0_156
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f6606,f4856,f3773,f973,f4676]) ).
thf(f6977,definition,
( spl0_265
<=> ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f6978,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 ) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f6977]) ).
thf(f6983,plain,
( spl0_15
| ~ spl0_71
| ~ spl0_21
| spl0_57
| ~ spl0_166 ),
inference(avatar_split_clause,[],[f6968,f4276,f857,f219,f973,f194]) ).
thf(f7000,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_15
| ~ spl0_21 ),
inference(constrained_superposition,[],[f220,f195]) ).
thf(f7002,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_15
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f7000]) ).
thf(f7022,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_39
| ~ spl0_71 ),
inference(constrained_superposition,[],[f506,f974]) ).
thf(f7026,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_39
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f7022]) ).
thf(f7034,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_12
| ~ spl0_60 ),
inference(constrained_superposition,[],[f184,f6912]) ).
thf(f7052,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_12
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f7034]) ).
thf(f7066,plain,
( spl0_62
| spl0_81
| ~ spl0_12
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f7052,f898,f183,f1009,f904]) ).
thf(f7079,definition,
( spl0_268
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).
thf(f7080,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_268 ),
inference(avatar_component_clause,[],[f7079]) ).
thf(f7099,plain,
( $false
| ~ spl0_89
| spl0_187 ),
inference(forward_subsumption_resolution,[],[f5442,f1191]) ).
thf(f7100,plain,
( ~ spl0_89
| spl0_187 ),
inference(avatar_contradiction_clause,[],[f7099]) ).
thf(f7101,plain,
( $false
| ~ spl0_4
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f84,f7002]) ).
thf(f7102,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f7101]) ).
thf(f7123,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_230 ),
inference(constrained_superposition,[],[f432,f5431]) ).
thf(f7273,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f7123,f32]) ).
thf(f7286,plain,
( $false
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f7273,f27]) ).
thf(f7287,plain,
~ spl0_230,
inference(avatar_contradiction_clause,[],[f7286]) ).
thf(f7337,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_77
| ~ spl0_218 ),
inference(constrained_superposition,[],[f994,f6903]) ).
thf(f7338,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_79
| ~ spl0_218 ),
inference(constrained_superposition,[],[f1002,f6903]) ).
thf(f7339,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_218 ),
inference(constrained_superposition,[],[f188,f6903]) ).
thf(f7340,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_12
| ~ spl0_218 ),
inference(constrained_superposition,[],[f184,f6903]) ).
thf(f7357,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_12
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f7340]) ).
thf(f7360,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_13
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f7339]) ).
thf(f7361,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_77
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f7337]) ).
thf(f7365,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_79
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f7338]) ).
thf(f7373,plain,
( spl0_221
| spl0_112
| ~ spl0_12
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7357,f5042,f183,f1896,f5056]) ).
thf(f7374,plain,
( spl0_111
| spl0_112
| ~ spl0_13
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7360,f5042,f187,f1896,f1892]) ).
thf(f7375,plain,
( spl0_221
| spl0_110
| ~ spl0_77
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7361,f5042,f993,f1889,f5056]) ).
thf(f7376,plain,
( spl0_110
| spl0_219
| ~ spl0_79
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f7365,f5042,f1001,f5045,f1889]) ).
thf(f7469,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f391,f4673]) ).
thf(f7486,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f7469]) ).
thf(f7503,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f7486,f31]) ).
thf(f7514,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184
| spl0_187 ),
inference(forward_subsumption_resolution,[],[f7503,f5442]) ).
thf(f7521,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_73
| ~ spl0_184
| spl0_187 ),
inference(forward_subsumption_resolution,[],[f7514,f6611]) ).
thf(f7524,plain,
( spl0_219
| spl0_73
| ~ spl0_184
| spl0_187 ),
inference(avatar_split_clause,[],[f7521,f4725,f4672,f979,f5045]) ).
thf(f7538,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_54
| ~ spl0_62 ),
inference(constrained_superposition,[],[f905,f844]) ).
thf(f7539,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_62
| ~ spl0_184 ),
inference(constrained_superposition,[],[f905,f4673]) ).
thf(f7544,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_62
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f7539]) ).
thf(f7548,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_54
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f7538]) ).
thf(f7550,plain,
( $false
| ~ spl0_62
| ~ spl0_184
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[],[f7544,f6903]) ).
thf(f7551,plain,
( ~ spl0_62
| ~ spl0_184
| ~ spl0_218 ),
inference(avatar_contradiction_clause,[],[f7550]) ).
thf(f7553,plain,
( spl0_165
| ~ spl0_54
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f7548,f904,f843,f4193]) ).
thf(f7556,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_55
| ~ spl0_104 ),
inference(constrained_superposition,[],[f1665,f3482]) ).
thf(f7563,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_55
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f7556]) ).
thf(f7579,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_172
| ~ spl0_222 ),
inference(constrained_superposition,[],[f5061,f4614]) ).
thf(f7590,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_172
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f7579]) ).
thf(f7591,plain,
( ~ spl0_195
| ~ spl0_172
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f7590,f5060,f4613,f4754]) ).
thf(f7592,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_54
| spl0_193 ),
inference(constrained_superposition,[],[f4748,f844]) ).
thf(f7601,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_54
| spl0_193 ),
inference(trivial_inequality_removal,[],[f7592]) ).
thf(f7606,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_156
| ~ spl0_183 ),
inference(constrained_superposition,[],[f3808,f5279]) ).
thf(f7608,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f378,f5279]) ).
thf(f7610,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| ~ spl0_183 ),
inference(constrained_superposition,[],[f1680,f5279]) ).
thf(f7614,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f7608]) ).
thf(f7615,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f7610]) ).
thf(f7617,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_156
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f7606]) ).
thf(f7619,plain,
( spl0_179
| spl0_185
| ~ spl0_156
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f7617,f4669,f3773,f4676,f4655]) ).
thf(f7634,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_85
| ~ spl0_184 ),
inference(constrained_superposition,[],[f1057,f4673]) ).
thf(f7639,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_85
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f7634]) ).
thf(f7645,plain,
( ~ spl0_109
| ~ spl0_85
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f7639,f4672,f1056,f1886]) ).
thf(f7648,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_109 ),
inference(constrained_superposition,[],[f1887,f38]) ).
thf(f7652,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_109 ),
inference(trivial_inequality_removal,[],[f7648]) ).
thf(f7654,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_156
| ~ spl0_171 ),
inference(constrained_superposition,[],[f3808,f4611]) ).
thf(f7657,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_171
| ~ spl0_205 ),
inference(constrained_superposition,[],[f4807,f4611]) ).
thf(f7663,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_171
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f7657]) ).
thf(f7668,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_156
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f7654]) ).
thf(f7670,plain,
( ~ spl0_185
| ~ spl0_171
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f7663,f4806,f4610,f4676]) ).
thf(f7672,plain,
( spl0_179
| spl0_185
| ~ spl0_156
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f7668,f4610,f3773,f4676,f4655]) ).
thf(f7706,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_113
| ~ spl0_200 ),
inference(constrained_superposition,[],[f4772,f1904]) ).
thf(f7710,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_113
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f7706]) ).
thf(f7717,plain,
( ~ spl0_29
| ~ spl0_113
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f7710,f4771,f1903,f314]) ).
thf(f7719,plain,
( spl0_113
| ~ spl0_54
| spl0_193 ),
inference(avatar_split_clause,[],[f7601,f4747,f843,f1903]) ).
thf(f7720,plain,
( spl0_186
| spl0_113
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f7614,f4669,f1903,f4682]) ).
thf(f7723,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_85
| ~ spl0_193 ),
inference(constrained_superposition,[],[f1057,f5440]) ).
thf(f7750,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_85
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f7723]) ).
thf(f7764,plain,
( ~ spl0_114
| ~ spl0_85
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f7750,f4747,f1056,f1906]) ).
thf(f7786,plain,
( $false
| ~ spl0_105
| ~ spl0_108
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f1877,f7615]) ).
thf(f7787,plain,
( ~ spl0_105
| ~ spl0_108
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f7786]) ).
thf(f7834,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f6193,f432]) ).
thf(f7835,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f6193,f57]) ).
thf(f7841,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f7835]) ).
thf(f7842,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f7834]) ).
thf(f7845,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_171
| ~ spl0_204 ),
inference(constrained_superposition,[],[f4803,f4611]) ).
thf(f7855,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_171
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f7845]) ).
thf(f7859,plain,
( $false
| ~ spl0_108
| ~ spl0_171
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f7855,f1877]) ).
thf(f7860,plain,
( ~ spl0_108
| ~ spl0_171
| ~ spl0_204 ),
inference(avatar_contradiction_clause,[],[f7859]) ).
thf(f7861,plain,
( spl0_93
| spl0_112
| spl0_109 ),
inference(avatar_split_clause,[],[f7652,f1886,f1896,f1255]) ).
thf(f7868,plain,
( spl0_236
| ~ spl0_58
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f7842,f6192,f890,f5570]) ).
thf(f7875,plain,
( ~ spl0_73
| ~ spl0_39
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f7026,f973,f505,f979]) ).
thf(f7884,plain,
( spl0_77
| spl0_76
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f3715,f843,f990,f993]) ).
thf(f7914,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_105 ),
inference(constrained_superposition,[],[f1680,f125]) ).
thf(f7919,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_7
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f7914]) ).
thf(f7924,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_7
| spl0_69
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f7919,f2319]) ).
thf(f7925,plain,
( ~ spl0_11
| ~ spl0_7
| spl0_69
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f7924,f1679,f966,f124,f180]) ).
thf(f7955,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_13
| ~ spl0_60 ),
inference(constrained_superposition,[],[f188,f6912]) ).
thf(f7980,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_13
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f7955]) ).
thf(f7986,plain,
( spl0_85
| spl0_81
| ~ spl0_13
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f7980,f898,f187,f1009,f1056]) ).
thf(f8068,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_108 ),
inference(constrained_superposition,[],[f220,f1877]) ).
thf(f8072,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_21
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f8068]) ).
thf(f8081,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f1490,f156]) ).
thf(f8084,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f8081]) ).
thf(f8103,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_97
| ~ spl0_232 ),
inference(constrained_superposition,[],[f1490,f5672]) ).
thf(f8107,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_97
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f8103]) ).
thf(f8128,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_62
| ~ spl0_193 ),
inference(constrained_superposition,[],[f905,f5440]) ).
thf(f8130,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_62 ),
inference(constrained_superposition,[],[f905,f37]) ).
thf(f8135,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f8130]) ).
thf(f8138,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_62
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f8128]) ).
thf(f8139,plain,
( ~ spl0_199
| ~ spl0_62
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f8138,f4747,f904,f4768]) ).
thf(f8140,plain,
( $false
| ~ spl0_21
| ~ spl0_107
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f1868,f8072]) ).
thf(f8141,plain,
( ~ spl0_21
| ~ spl0_107
| ~ spl0_108 ),
inference(avatar_contradiction_clause,[],[f8140]) ).
thf(f8144,plain,
( ( $true != $true )
| ~ spl0_11
| ~ spl0_47 ),
inference(constrained_superposition,[],[f688,f181]) ).
thf(f8145,plain,
( ( $true != $true )
| ~ spl0_1
| ~ spl0_47 ),
inference(constrained_superposition,[],[f688,f74]) ).
thf(f8149,plain,
( $false
| ~ spl0_1
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f8145]) ).
thf(f8150,plain,
( ~ spl0_1
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f8149]) ).
thf(f8153,plain,
( $false
| ~ spl0_11
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f8144]) ).
thf(f8154,plain,
( ~ spl0_11
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f8153]) ).
thf(f8162,plain,
( spl0_69
| ~ spl0_6
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f8135,f904,f106,f966]) ).
thf(f8164,plain,
( ~ spl0_14
| ~ spl0_55
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f7563,f1664,f846,f190]) ).
thf(f8180,definition,
( spl0_276
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_276])],[avatar_definition]) ).
thf(f8181,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_276 ),
inference(avatar_component_clause,[],[f8180]) ).
thf(f8182,plain,
( spl0_276
| spl0_55
| spl0_57 ),
inference(avatar_split_clause,[],[f4600,f857,f846,f8180]) ).
thf(f8221,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f33,f1485]) ).
thf(f8241,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f8221]) ).
thf(f8247,plain,
( spl0_276
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f8241,f1484,f8180]) ).
thf(f8317,plain,
( spl0_180
| ~ spl0_9
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f7841,f6192,f130,f4658]) ).
thf(f8366,plain,
( ~ spl0_187
| ~ spl0_97
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f8107,f5438,f1489,f4725]) ).
thf(f8388,plain,
( ( $true != $true )
| ~ spl0_14
| ~ spl0_19 ),
inference(constrained_superposition,[],[f211,f191]) ).
thf(f8394,plain,
( $false
| ~ spl0_14
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f8388]) ).
thf(f8395,plain,
( ~ spl0_14
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f8394]) ).
thf(f8473,plain,
( ( $true != $true )
| ~ spl0_107
| ~ spl0_208 ),
inference(constrained_superposition,[],[f4854,f1868]) ).
thf(f8474,plain,
( ( $true != $true )
| ~ spl0_185
| ~ spl0_208 ),
inference(constrained_superposition,[],[f4854,f4679]) ).
thf(f8479,plain,
( $false
| ~ spl0_107
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f8473]) ).
thf(f8480,plain,
( ~ spl0_107
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f8479]) ).
thf(f8483,plain,
( $false
| ~ spl0_185
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f8474]) ).
thf(f8484,plain,
( ~ spl0_185
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f8483]) ).
thf(f8491,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f329,f57]) ).
thf(f8494,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f8491]) ).
thf(f8500,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_33
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f8494,f688]) ).
thf(f8501,plain,
( ~ spl0_9
| ~ spl0_33
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f8500,f687,f328,f130]) ).
thf(f8561,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f5061,f57]) ).
thf(f8566,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f8561]) ).
thf(f8570,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_47
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f8566,f688]) ).
thf(f8571,plain,
( ~ spl0_9
| ~ spl0_47
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f8570,f5060,f687,f130]) ).
thf(f8602,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f3756,f4614]) ).
thf(f8632,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f8602]) ).
thf(f8688,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_106
| ~ spl0_177 ),
inference(constrained_superposition,[],[f1865,f4632]) ).
thf(f8689,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_106 ),
inference(constrained_superposition,[],[f1865,f432]) ).
thf(f8691,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_106 ),
inference(constrained_superposition,[],[f1865,f57]) ).
thf(f8697,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_106
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f8688]) ).
thf(f8699,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f8691]) ).
thf(f8701,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f8689]) ).
thf(f8703,plain,
( ~ spl0_109
| ~ spl0_106
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f8697,f4631,f1864,f1886]) ).
thf(f8704,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_47
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f8699,f688]) ).
thf(f8705,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_65
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f8701,f1880]) ).
thf(f8706,plain,
( ~ spl0_23
| ~ spl0_47
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f8704,f1864,f687,f260]) ).
thf(f8707,plain,
( spl0_236
| ~ spl0_65
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f8705,f1864,f916,f5570]) ).
thf(f8728,plain,
( spl0_96
| ~ spl0_18
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f8084,f1489,f204,f1484]) ).
thf(f8828,plain,
( $false
| ~ spl0_47
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f991,f688]) ).
thf(f8829,plain,
( ~ spl0_47
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f8828]) ).
thf(f8830,plain,
( ~ spl0_193
| spl0_192
| spl0_194
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f8632,f4613,f4750,f4744,f4747]) ).
thf(f8976,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f5061,f57]) ).
thf(f8980,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_222 ),
inference(trivial_inequality_removal,[],[f8976]) ).
thf(f8988,plain,
( spl0_198
| ~ spl0_9
| ~ spl0_222 ),
inference(avatar_split_clause,[],[f8980,f5060,f130,f4765]) ).
thf(f8999,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f211,f156]) ).
thf(f9005,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f8999]) ).
thf(f9010,definition,
( spl0_290
<=> ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_290])],[avatar_definition]) ).
thf(f9011,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_290 ),
inference(avatar_component_clause,[],[f9010]) ).
thf(f9025,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_32
| ~ spl0_52 ),
inference(constrained_superposition,[],[f833,f325]) ).
thf(f9027,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32
| ~ spl0_206 ),
inference(constrained_superposition,[],[f4812,f325]) ).
thf(f9033,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f9027]) ).
thf(f9037,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_32
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f9025]) ).
thf(f9040,plain,
( $false
| ~ spl0_32
| ~ spl0_76
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[],[f9033,f991]) ).
thf(f9041,plain,
( ~ spl0_32
| ~ spl0_76
| ~ spl0_206 ),
inference(avatar_contradiction_clause,[],[f9040]) ).
thf(f9055,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f391,f9005]) ).
thf(f9059,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_19
| ~ spl0_221 ),
inference(constrained_superposition,[],[f5057,f9005]) ).
thf(f9079,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f9055]) ).
thf(f9083,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_19
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f9059]) ).
thf(f9096,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f9079,f211]) ).
thf(f9099,plain,
( ~ spl0_29
| ~ spl0_19
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f9083,f5056,f210,f314]) ).
thf(f9109,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f9096,f31]) ).
thf(f9113,plain,
( spl0_27
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f9109,f210,f307]) ).
thf(f9118,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_32
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f9037,f325]) ).
thf(f9121,plain,
( spl0_90
| ~ spl0_32
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f9118,f832,f324,f1197]) ).
thf(f9139,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f4663,f431]) ).
thf(f9140,plain,
( ( $true != $true )
| ~ spl0_181
| ~ spl0_187 ),
inference(constrained_superposition,[],[f4663,f4726]) ).
thf(f9146,plain,
( $false
| ~ spl0_181
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f9140]) ).
thf(f9147,plain,
( ~ spl0_181
| ~ spl0_187 ),
inference(avatar_contradiction_clause,[],[f9146]) ).
thf(f9149,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f9139]) ).
thf(f9150,plain,
( spl0_184
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f9149,f4662,f4672]) ).
thf(f9302,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f122,f4673]) ).
thf(f9303,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f69,f4673]) ).
thf(f9324,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f9302]) ).
thf(f9332,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f9303]) ).
thf(f9356,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_104
| ~ spl0_183 ),
inference(constrained_superposition,[],[f1665,f5279]) ).
thf(f9357,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_97
| ~ spl0_183 ),
inference(constrained_superposition,[],[f1490,f5279]) ).
thf(f9359,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_104
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f9356]) ).
thf(f9361,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_97
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f9357]) ).
thf(f9364,plain,
( $false
| ~ spl0_104
| ~ spl0_107
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f9359,f1868]) ).
thf(f9365,plain,
( ~ spl0_104
| ~ spl0_107
| ~ spl0_183 ),
inference(avatar_contradiction_clause,[],[f9364]) ).
thf(f9367,plain,
( $false
| ~ spl0_97
| ~ spl0_183
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f9361,f4679]) ).
thf(f9368,plain,
( ~ spl0_97
| ~ spl0_183
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f9367]) ).
thf(f9441,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_198
| ~ spl0_204 ),
inference(constrained_superposition,[],[f4803,f4766]) ).
thf(f9447,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_198
| ~ spl0_204 ),
inference(trivial_inequality_removal,[],[f9441]) ).
thf(f9448,plain,
( $false
| ~ spl0_11
| ~ spl0_198
| ~ spl0_204 ),
inference(forward_subsumption_resolution,[],[f9447,f181]) ).
thf(f9449,plain,
( ~ spl0_11
| ~ spl0_198
| ~ spl0_204 ),
inference(avatar_contradiction_clause,[],[f9448]) ).
thf(f9454,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f211,f4367]) ).
thf(f9457,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f9454]) ).
thf(f9460,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_15
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f9457,f2312]) ).
thf(f9462,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_15
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f9460,f211]) ).
thf(f9463,plain,
( spl0_290
| spl0_15
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f9462,f210,f194,f9010]) ).
thf(f9485,plain,
( spl0_219
| ~ spl0_218
| spl0_71
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f9332,f4672,f973,f5042,f5045]) ).
thf(f9486,plain,
( ~ spl0_218
| spl0_221
| spl0_76
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f9324,f4672,f990,f5056,f5042]) ).
thf(f9684,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_180
| ~ spl0_186 ),
inference(constrained_superposition,[],[f4683,f4659]) ).
thf(f9690,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_180
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f9684]) ).
thf(f9691,plain,
( $false
| ~ spl0_11
| ~ spl0_180
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f9690,f181]) ).
thf(f9692,plain,
( ~ spl0_11
| ~ spl0_180
| ~ spl0_186 ),
inference(avatar_contradiction_clause,[],[f9691]) ).
thf(f9734,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_172
| ~ spl0_219 ),
inference(constrained_superposition,[],[f5046,f4614]) ).
thf(f9736,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110
| ~ spl0_219 ),
inference(constrained_superposition,[],[f5046,f1890]) ).
thf(f9743,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f9736]) ).
thf(f9745,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_172
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f9734]) ).
thf(f9759,plain,
( ~ spl0_193
| ~ spl0_172
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f9745,f5045,f4613,f4747]) ).
thf(f9791,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_112 ),
inference(constrained_superposition,[],[f220,f1897]) ).
thf(f9793,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_21
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f9791]) ).
thf(f9797,plain,
( $false
| ~ spl0_21
| ~ spl0_112
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[],[f9793,f1921]) ).
thf(f9798,plain,
( ~ spl0_21
| ~ spl0_112
| ~ spl0_115 ),
inference(avatar_contradiction_clause,[],[f9797]) ).
thf(f9804,plain,
( ~ spl0_96
| ~ spl0_110
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f9743,f5045,f1889,f1484]) ).
thf(f9810,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f211,f156]) ).
thf(f9816,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f9810]) ).
thf(f9841,plain,
( ( $true != $true )
| ~ spl0_89
| spl0_185 ),
inference(constrained_superposition,[],[f4677,f1191]) ).
thf(f9845,plain,
( $false
| ~ spl0_89
| spl0_185 ),
inference(trivial_inequality_removal,[],[f9841]) ).
thf(f9846,plain,
( ~ spl0_89
| spl0_185 ),
inference(avatar_contradiction_clause,[],[f9845]) ).
thf(f9903,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f4854,f431]) ).
thf(f9908,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f9903]) ).
thf(f9911,plain,
( spl0_193
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f9908,f4853,f4747]) ).
thf(f9976,plain,
( $false
| ~ spl0_108
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f1877,f4854]) ).
thf(f9977,plain,
( ~ spl0_108
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f9976]) ).
thf(f10053,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_113
| ~ spl0_249 ),
inference(constrained_superposition,[],[f6193,f1904]) ).
thf(f10054,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_19
| ~ spl0_249 ),
inference(constrained_superposition,[],[f6193,f9816]) ).
thf(f10062,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_113
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f10053]) ).
thf(f10065,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_19
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f10054]) ).
thf(f10066,plain,
( ~ spl0_28
| ~ spl0_113
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f10062,f6192,f1903,f310]) ).
thf(f10067,plain,
( ~ spl0_28
| ~ spl0_19
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f10065,f6192,f210,f310]) ).
thf(f10072,plain,
( ( $true != $true )
| ~ spl0_47
| ~ spl0_180 ),
inference(constrained_superposition,[],[f688,f4659]) ).
thf(f10073,plain,
( ( $true != $true )
| ~ spl0_47
| ~ spl0_198 ),
inference(constrained_superposition,[],[f688,f4766]) ).
thf(f10075,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( z = X0 ) )
| ~ spl0_47 ),
inference(constrained_superposition,[],[f688,f4367]) ).
thf(f10077,plain,
( $false
| ~ spl0_47
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f10073]) ).
thf(f10078,plain,
( ~ spl0_47
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f10077]) ).
thf(f10081,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_47 ),
inference(trivial_inequality_removal,[],[f10075]) ).
thf(f10082,plain,
( $false
| ~ spl0_47
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f10072]) ).
thf(f10083,plain,
( ~ spl0_47
| ~ spl0_180 ),
inference(avatar_contradiction_clause,[],[f10082]) ).
thf(f10088,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f10081,f688]) ).
thf(f10094,plain,
( $false
| ~ spl0_90
| spl0_193 ),
inference(forward_subsumption_resolution,[],[f4748,f1198]) ).
thf(f10095,plain,
( ~ spl0_90
| spl0_193 ),
inference(avatar_contradiction_clause,[],[f10094]) ).
thf(f10100,definition,
( spl0_294
<=> ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f10101,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f10100]) ).
thf(f10102,plain,
( spl0_4
| spl0_294
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f10088,f687,f10100,f83]) ).
thf(f10291,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_200 ),
inference(constrained_superposition,[],[f4772,f432]) ).
thf(f10294,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f10291]) ).
thf(f10319,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_15
| ~ spl0_294 ),
inference(constrained_superposition,[],[f2312,f10101]) ).
thf(f10332,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_15
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f10319]) ).
thf(f10340,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_15
| spl0_18
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f10332,f1134]) ).
thf(f10341,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_15
| spl0_18
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f10340,f31]) ).
thf(f10342,plain,
( spl0_26
| spl0_15
| spl0_18
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f10341,f10100,f204,f194,f288]) ).
thf(f10384,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_26 ),
inference(constrained_superposition,[],[f56,f289]) ).
thf(f10469,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f260]) ).
thf(f10490,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f1236]) ).
thf(f10494,definition,
( spl0_295
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).
thf(f10495,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_295 ),
inference(avatar_component_clause,[],[f10494]) ).
thf(f10497,definition,
( spl0_296
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).
thf(f10498,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_296 ),
inference(avatar_component_clause,[],[f10497]) ).
thf(f10505,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f10384,f32]) ).
thf(f10514,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f10505,f27]) ).
thf(f10515,plain,
~ spl0_26,
inference(avatar_contradiction_clause,[],[f10514]) ).
thf(f10524,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f414,f10469]) ).
thf(f10541,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f10524]) ).
thf(f10556,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_15
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f10541,f2312]) ).
thf(f10563,definition,
( spl0_297
<=> ! [X1: $i] :
( ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_297])],[avatar_definition]) ).
thf(f10564,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_297 ),
inference(avatar_component_clause,[],[f10563]) ).
thf(f10566,definition,
( spl0_298
<=> ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
thf(f10567,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f10566]) ).
thf(f10569,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| spl0_15
| ~ spl0_23
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f10556,f688]) ).
thf(f10575,plain,
( spl0_298
| ~ spl0_6
| spl0_15
| ~ spl0_23
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f10569,f687,f260,f194,f106,f10566]) ).
thf(f10628,definition,
( spl0_299
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).
thf(f10629,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X1 ) )
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f10628]) ).
thf(f10699,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f33,f1890]) ).
thf(f10708,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f10699]) ).
thf(f10724,plain,
( spl0_295
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f10708,f1889,f10494]) ).
thf(f10726,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f322,f29]) ).
thf(f10740,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f10726]) ).
thf(f10742,plain,
( spl0_297
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f10740,f321,f10563]) ).
thf(f10749,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f5046,f57]) ).
thf(f10756,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f10749]) ).
thf(f10759,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_91
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f10756,f10490]) ).
thf(f10760,plain,
( $false
| ~ spl0_47
| ~ spl0_91
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f10759,f688]) ).
thf(f10761,plain,
( ~ spl0_47
| ~ spl0_91
| ~ spl0_219 ),
inference(avatar_contradiction_clause,[],[f10760]) ).
thf(f10766,plain,
( spl0_198
| ~ spl0_91
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f10759,f5045,f1236,f4765]) ).
thf(f10865,plain,
( spl0_236
| ~ spl0_60
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f10294,f4771,f898,f5570]) ).
thf(f10989,definition,
( spl0_302
<=> ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_302])],[avatar_definition]) ).
thf(f10990,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ~ spl0_302 ),
inference(avatar_component_clause,[],[f10989]) ).
thf(f10992,definition,
( spl0_303
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_303])],[avatar_definition]) ).
thf(f10993,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_303 ),
inference(avatar_component_clause,[],[f10992]) ).
thf(f11033,definition,
( spl0_304
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_304])],[avatar_definition]) ).
thf(f11034,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_304 ),
inference(avatar_component_clause,[],[f11033]) ).
thf(f11036,definition,
( spl0_305
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f11037,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f11036]) ).
thf(f11048,definition,
( spl0_308
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_308])],[avatar_definition]) ).
thf(f11049,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_308 ),
inference(avatar_component_clause,[],[f11048]) ).
thf(f11055,definition,
( spl0_310
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_310])],[avatar_definition]) ).
thf(f11056,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_310 ),
inference(avatar_component_clause,[],[f11055]) ).
thf(f11067,definition,
( spl0_312
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_312])],[avatar_definition]) ).
thf(f11068,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_312 ),
inference(avatar_component_clause,[],[f11067]) ).
thf(f11076,definition,
( spl0_314
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).
thf(f11077,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| spl0_314 ),
inference(avatar_component_clause,[],[f11076]) ).
thf(f11085,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_66
| ~ spl0_308 ),
inference(constrained_superposition,[],[f1083,f11049]) ).
thf(f11090,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_66
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f11085]) ).
thf(f11092,definition,
( spl0_316
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_316])],[avatar_definition]) ).
thf(f11093,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f11092]) ).
thf(f11096,definition,
( spl0_317
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
thf(f11097,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f11096]) ).
thf(f11099,definition,
( spl0_318
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_318])],[avatar_definition]) ).
thf(f11100,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f11099]) ).
thf(f11102,plain,
( spl0_316
| ~ spl0_66
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f11090,f11048,f920,f11092]) ).
thf(f11103,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_314 ),
inference(constrained_superposition,[],[f11077,f36]) ).
thf(f11106,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_314 ),
inference(trivial_inequality_removal,[],[f11103]) ).
thf(f11108,plain,
( spl0_308
| spl0_314 ),
inference(avatar_split_clause,[],[f11106,f11076,f11048]) ).
thf(f11161,definition,
( spl0_321
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_321])],[avatar_definition]) ).
thf(f11162,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_321 ),
inference(avatar_component_clause,[],[f11161]) ).
thf(f11165,definition,
( spl0_322
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_322])],[avatar_definition]) ).
thf(f11166,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_322 ),
inference(avatar_component_clause,[],[f11165]) ).
thf(f11176,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_176
| ~ spl0_200 ),
inference(constrained_superposition,[],[f4772,f4628]) ).
thf(f11179,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( 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 @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f122,f4628]) ).
thf(f11201,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_176
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f11176]) ).
thf(f11205,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f11179]) ).
thf(f11219,definition,
( spl0_324
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f11220,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f11219]) ).
thf(f11222,definition,
( spl0_325
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
thf(f11223,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_325 ),
inference(avatar_component_clause,[],[f11222]) ).
thf(f11224,plain,
( spl0_324
| ~ spl0_325
| spl0_180
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f11205,f4627,f4658,f11222,f11219]) ).
thf(f11227,definition,
( spl0_326
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).
thf(f11228,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_326 ),
inference(avatar_component_clause,[],[f11227]) ).
thf(f11238,plain,
( ~ spl0_325
| ~ spl0_176
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f11201,f4771,f4627,f11222]) ).
thf(f11239,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_325 ),
inference(constrained_superposition,[],[f11223,f56]) ).
thf(f11241,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| spl0_325 ),
inference(constrained_superposition,[],[f11223,f29]) ).
thf(f11242,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_325 ),
inference(trivial_inequality_removal,[],[f11239]) ).
thf(f11244,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| spl0_325 ),
inference(trivial_inequality_removal,[],[f11241]) ).
thf(f11245,plain,
( spl0_304
| spl0_325 ),
inference(avatar_split_clause,[],[f11242,f11222,f11033]) ).
thf(f11248,definition,
( spl0_327
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).
thf(f11249,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_327 ),
inference(avatar_component_clause,[],[f11248]) ).
thf(f11250,plain,
( spl0_304
| spl0_327
| spl0_325 ),
inference(avatar_split_clause,[],[f11244,f11222,f11248,f11033]) ).
thf(f11278,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_179 ),
inference(constrained_superposition,[],[f4656,f156]) ).
thf(f11287,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f11278]) ).
thf(f11290,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_55
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f11287,f3482]) ).
thf(f11291,plain,
( spl0_113
| ~ spl0_55
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f11290,f4655,f846,f1903]) ).
thf(f11304,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_177
| ~ spl0_192 ),
inference(constrained_superposition,[],[f4745,f4632]) ).
thf(f11312,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_177
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f11304]) ).
thf(f11316,plain,
( $false
| ~ spl0_177
| ~ spl0_184
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f11312,f4673]) ).
thf(f11317,plain,
( ~ spl0_177
| ~ spl0_184
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f11316]) ).
thf(f11342,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_178
| ~ spl0_209 ),
inference(constrained_superposition,[],[f4857,f4635]) ).
thf(f11348,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_178
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f11342]) ).
thf(f11354,plain,
( $false
| ~ spl0_115
| ~ spl0_178
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f11348,f1921]) ).
thf(f11355,plain,
( ~ spl0_115
| ~ spl0_178
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[],[f11354]) ).
thf(f11367,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_48
| ~ spl0_178 ),
inference(constrained_superposition,[],[f718,f4635]) ).
thf(f11377,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_48
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f11367]) ).
thf(f11388,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_48
| ~ spl0_178
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f11377,f4677]) ).
thf(f11390,plain,
( $false
| ~ spl0_48
| ~ spl0_115
| ~ spl0_178
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f11388,f1921]) ).
thf(f11391,plain,
( ~ spl0_48
| ~ spl0_115
| ~ spl0_178
| spl0_185 ),
inference(avatar_contradiction_clause,[],[f11390]) ).
thf(f11406,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_180
| ~ spl0_182 ),
inference(constrained_superposition,[],[f4666,f4659]) ).
thf(f11413,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_180
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f11406]) ).
thf(f11418,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_296 ),
inference(avatar_component_clause,[],[f10497]) ).
thf(f11420,plain,
( $false
| ~ spl0_180
| ~ spl0_182
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f11413,f4766]) ).
thf(f11421,plain,
( ~ spl0_180
| ~ spl0_182
| ~ spl0_198 ),
inference(avatar_contradiction_clause,[],[f11420]) ).
thf(f11470,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_66
| ~ spl0_303 ),
inference(constrained_superposition,[],[f10993,f921]) ).
thf(f11472,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_66
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f11470]) ).
thf(f11475,definition,
( spl0_329
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f11476,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_329 ),
inference(avatar_component_clause,[],[f11475]) ).
thf(f11478,plain,
( $false
| ~ spl0_66
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f11472,f921]) ).
thf(f11479,plain,
( ~ spl0_66
| ~ spl0_303 ),
inference(avatar_contradiction_clause,[],[f11478]) ).
thf(f11497,definition,
( spl0_330
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_330])],[avatar_definition]) ).
thf(f11498,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_330 ),
inference(avatar_component_clause,[],[f11497]) ).
thf(f11502,definition,
( spl0_331
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f11503,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_331 ),
inference(avatar_component_clause,[],[f11502]) ).
thf(f11505,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_331 ),
inference(constrained_superposition,[],[f11503,f57]) ).
thf(f11508,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_331 ),
inference(trivial_inequality_removal,[],[f11505]) ).
thf(f11511,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_330 ),
inference(constrained_superposition,[],[f11498,f432]) ).
thf(f11515,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_330 ),
inference(constrained_superposition,[],[f11498,f29]) ).
thf(f11518,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_330 ),
inference(trivial_inequality_removal,[],[f11515]) ).
thf(f11519,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_330 ),
inference(trivial_inequality_removal,[],[f11511]) ).
thf(f11529,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f308,f432]) ).
thf(f11535,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f11529]) ).
thf(f11551,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_100
| ~ spl0_236 ),
inference(constrained_superposition,[],[f1557,f5571]) ).
thf(f11555,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_100
| ~ spl0_180 ),
inference(constrained_superposition,[],[f1557,f4659]) ).
thf(f11562,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_100
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f11551]) ).
thf(f11564,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_100
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f11555]) ).
thf(f11571,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_100
| spl0_185
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f11562,f4677]) ).
thf(f11572,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_100
| ~ spl0_180
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f11564,f4677]) ).
thf(f11574,plain,
( $false
| ~ spl0_81
| ~ spl0_100
| spl0_185
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f11571,f1010]) ).
thf(f11575,plain,
( ~ spl0_81
| ~ spl0_100
| spl0_185
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f11574]) ).
thf(f11576,plain,
( $false
| ~ spl0_11
| ~ spl0_100
| ~ spl0_180
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f11572,f181]) ).
thf(f11577,plain,
( ~ spl0_11
| ~ spl0_100
| ~ spl0_180
| spl0_185 ),
inference(avatar_contradiction_clause,[],[f11576]) ).
thf(f11662,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_102
| ~ spl0_178 ),
inference(constrained_superposition,[],[f1617,f4635]) ).
thf(f11673,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_102
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f11662]) ).
thf(f11678,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_102
| ~ spl0_178
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f11673,f4677]) ).
thf(f11681,plain,
( $false
| ~ spl0_102
| ~ spl0_115
| ~ spl0_178
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f11678,f1921]) ).
thf(f11682,plain,
( ~ spl0_102
| ~ spl0_115
| ~ spl0_178
| spl0_185 ),
inference(avatar_contradiction_clause,[],[f11681]) ).
thf(f11766,definition,
( spl0_333
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_333])],[avatar_definition]) ).
thf(f11767,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f11766]) ).
thf(f11780,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_317
| ~ spl0_321 ),
inference(constrained_superposition,[],[f11097,f11162]) ).
thf(f11786,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_317
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f11780]) ).
thf(f11793,plain,
( $false
| ~ spl0_11
| ~ spl0_317
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f11786,f181]) ).
thf(f11794,plain,
( ~ spl0_11
| ~ spl0_317
| ~ spl0_321 ),
inference(avatar_contradiction_clause,[],[f11793]) ).
thf(f11798,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_305
| ~ spl0_318 ),
inference(constrained_superposition,[],[f11037,f11100]) ).
thf(f11832,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_305
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f11798]) ).
thf(f11841,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_305
| ~ spl0_318 ),
inference(constrained_superposition,[],[f11832,f58]) ).
thf(f11846,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_305
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f11841]) ).
thf(f11847,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f11475]) ).
thf(f11850,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_305
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f11846,f31]) ).
thf(f11851,plain,
( spl0_329
| ~ spl0_305
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f11850,f11099,f11036,f11475]) ).
thf(f11925,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_184
| ~ spl0_276 ),
inference(constrained_superposition,[],[f8181,f4673]) ).
thf(f11933,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f11925]) ).
thf(f11939,plain,
( spl0_111
| ~ spl0_109
| ~ spl0_184
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f11933,f8180,f4672,f1886,f1892]) ).
thf(f11987,plain,
( spl0_156
| ~ spl0_65
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f11535,f307,f916,f3773]) ).
thf(f11989,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| spl0_4 ),
inference(avatar_component_clause,[],[f83]) ).
thf(f12074,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_163
| ~ spl0_218 ),
inference(constrained_superposition,[],[f4131,f6903]) ).
thf(f12082,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f33,f6903]) ).
thf(f12096,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f12082]) ).
thf(f12101,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_163
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f12074]) ).
thf(f12108,plain,
( spl0_112
| ~ spl0_163
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f12101,f5042,f4130,f1896]) ).
thf(f12159,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f378,f1897]) ).
thf(f12165,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_112 ),
inference(trivial_inequality_removal,[],[f12159]) ).
thf(f12167,plain,
( spl0_110
| spl0_204
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f12165,f1896,f4802,f1889]) ).
thf(f12205,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f3467,f432]) ).
thf(f12214,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f12205]) ).
thf(f12217,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_65
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f12214,f1880]) ).
thf(f12218,plain,
( spl0_156
| ~ spl0_65
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f12217,f3466,f916,f3773]) ).
thf(f12294,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f4733,f155]) ).
thf(f12308,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f12294]) ).
thf(f12316,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_96
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f12308,f1485]) ).
thf(f12319,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_96
| ~ spl0_189
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f12316,f4854]) ).
thf(f12324,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_96
| ~ spl0_189
| ~ spl0_208 ),
inference(constrained_superposition,[],[f12319,f58]) ).
thf(f12329,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_96
| ~ spl0_189
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f12324]) ).
thf(f12332,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_96
| ~ spl0_189
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f12329,f31]) ).
thf(f12333,plain,
( spl0_296
| ~ spl0_96
| ~ spl0_189
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f12332,f4853,f4732,f1484,f10497]) ).
thf(f12336,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_146
| ~ spl0_296 ),
inference(constrained_superposition,[],[f3422,f10498]) ).
thf(f12343,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_146
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f12336]) ).
thf(f12348,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_14
| ~ spl0_146
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f12343,f191]) ).
thf(f12349,plain,
( spl0_198
| ~ spl0_14
| ~ spl0_146
| ~ spl0_296 ),
inference(avatar_split_clause,[],[f12348,f10497,f3421,f190,f4765]) ).
thf(f12359,definition,
( spl0_335
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_335])],[avatar_definition]) ).
thf(f12360,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_335 ),
inference(avatar_component_clause,[],[f12359]) ).
thf(f12371,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_205
| ~ spl0_335 ),
inference(constrained_superposition,[],[f4807,f12360]) ).
thf(f12376,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_205
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f12371]) ).
thf(f12384,plain,
( $false
| ~ spl0_205
| ~ spl0_308
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f12376,f11049]) ).
thf(f12385,plain,
( ~ spl0_205
| ~ spl0_308
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f12384]) ).
thf(f12387,definition,
( spl0_337
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_337])],[avatar_definition]) ).
thf(f12388,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_337 ),
inference(avatar_component_clause,[],[f12387]) ).
thf(f12566,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_337 ),
inference(constrained_superposition,[],[f12388,f156]) ).
thf(f12572,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_337 ),
inference(trivial_inequality_removal,[],[f12566]) ).
thf(f12574,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_296
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f12572,f10498]) ).
thf(f12577,plain,
( spl0_318
| ~ spl0_296
| ~ spl0_337 ),
inference(avatar_split_clause,[],[f12574,f12387,f10497,f11099]) ).
thf(f12618,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_4
| ~ spl0_290 ),
inference(constrained_superposition,[],[f11989,f9011]) ).
thf(f12631,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_4
| ~ spl0_290 ),
inference(trivial_inequality_removal,[],[f12618]) ).
thf(f12639,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| spl0_1
| spl0_4
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f12631,f1195]) ).
thf(f12640,plain,
( ( z
= ( s @ z ) )
| spl0_1
| spl0_4
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f12639,f28]) ).
thf(f12641,plain,
( $false
| spl0_1
| spl0_4
| ~ spl0_290 ),
inference(forward_subsumption_resolution,[],[f12640,f31]) ).
thf(f12642,plain,
( spl0_1
| spl0_4
| ~ spl0_290 ),
inference(avatar_contradiction_clause,[],[f12641]) ).
thf(f12648,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f12096,f432]) ).
thf(f12649,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f12096,f57]) ).
thf(f12651,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f12649]) ).
thf(f12653,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f12648]) ).
thf(f12660,definition,
( spl0_340
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_340])],[avatar_definition]) ).
thf(f12661,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_340 ),
inference(avatar_component_clause,[],[f12660]) ).
thf(f12662,plain,
( spl0_198
| spl0_340
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f12651,f5042,f12660,f4765]) ).
thf(f12664,definition,
( spl0_341
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_341])],[avatar_definition]) ).
thf(f12665,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_341 ),
inference(avatar_component_clause,[],[f12664]) ).
thf(f12666,plain,
( spl0_341
| spl0_194
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f12653,f5042,f4750,f12664]) ).
thf(f12672,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_340 ),
inference(constrained_superposition,[],[f12661,f432]) ).
thf(f12683,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f12672]) ).
thf(f12721,definition,
( spl0_342
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_342])],[avatar_definition]) ).
thf(f12722,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_342 ),
inference(avatar_component_clause,[],[f12721]) ).
thf(f12738,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_342 ),
inference(constrained_superposition,[],[f12722,f58]) ).
thf(f12739,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_342 ),
inference(constrained_superposition,[],[f12722,f38]) ).
thf(f12742,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_342 ),
inference(trivial_inequality_removal,[],[f12739]) ).
thf(f12744,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_342 ),
inference(trivial_inequality_removal,[],[f12738]) ).
thf(f12746,plain,
( spl0_228
| spl0_335
| spl0_342 ),
inference(avatar_split_clause,[],[f12742,f12721,f12359,f5283]) ).
thf(f12748,plain,
( spl0_335
| spl0_227
| spl0_342 ),
inference(avatar_split_clause,[],[f12744,f12721,f5277,f12359]) ).
thf(f12751,plain,
( spl0_194
| ~ spl0_60
| ~ spl0_91
| ~ spl0_340 ),
inference(avatar_split_clause,[],[f12683,f12660,f1236,f898,f4750]) ).
thf(f12793,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_60
| ~ spl0_163 ),
inference(constrained_superposition,[],[f4131,f6912]) ).
thf(f12814,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_60
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f12793]) ).
thf(f12824,plain,
( spl0_81
| ~ spl0_60
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f12814,f4130,f898,f1009]) ).
thf(f12931,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_296 ),
inference(constrained_superposition,[],[f11418,f156]) ).
thf(f12934,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_296 ),
inference(trivial_inequality_removal,[],[f12931]) ).
thf(f12960,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_305
| ~ spl0_318 ),
inference(constrained_superposition,[],[f11037,f11100]) ).
thf(f12988,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_305
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f12960]) ).
thf(f13063,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_333 ),
inference(constrained_superposition,[],[f11767,f156]) ).
thf(f13072,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f13063]) ).
thf(f13185,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_63 ),
inference(constrained_superposition,[],[f910,f57]) ).
thf(f13194,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_63 ),
inference(trivial_inequality_removal,[],[f13185]) ).
thf(f13260,plain,
( spl0_180
| spl0_331 ),
inference(avatar_split_clause,[],[f11508,f11502,f4658]) ).
thf(f13262,definition,
( spl0_346
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).
thf(f13263,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_346 ),
inference(avatar_component_clause,[],[f13262]) ).
thf(f13267,plain,
( spl0_236
| spl0_330 ),
inference(avatar_split_clause,[],[f11519,f11497,f5570]) ).
thf(f13270,plain,
( spl0_94
| ~ spl0_91
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f13194,f909,f1236,f1285]) ).
thf(f13271,plain,
( spl0_110
| spl0_296 ),
inference(avatar_split_clause,[],[f12934,f10497,f1889]) ).
thf(f13274,plain,
( spl0_236
| spl0_228
| spl0_330 ),
inference(avatar_split_clause,[],[f11518,f11497,f5283,f5570]) ).
thf(f13278,definition,
( spl0_347
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f13279,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_347 ),
inference(avatar_component_clause,[],[f13278]) ).
thf(f13366,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f391,f6903]) ).
thf(f13394,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f13366]) ).
thf(f13404,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[],[f13394,f4663]) ).
thf(f13410,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_1
| ~ spl0_181
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[],[f13404,f1195]) ).
thf(f13417,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_1
| ~ spl0_181
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[],[f13410,f31]) ).
thf(f13420,plain,
( spl0_221
| spl0_1
| ~ spl0_181
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f13417,f5042,f4662,f73,f5056]) ).
thf(f13458,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_346 ),
inference(constrained_superposition,[],[f13263,f57]) ).
thf(f13462,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_346 ),
inference(trivial_inequality_removal,[],[f13458]) ).
thf(f13481,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_108 ),
inference(constrained_superposition,[],[f378,f1877]) ).
thf(f13485,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f13481]) ).
thf(f13488,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_108
| ~ spl0_305
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f13485,f12988]) ).
thf(f13491,plain,
( spl0_186
| ~ spl0_108
| ~ spl0_305
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f13488,f11099,f11036,f1876,f4682]) ).
thf(f13503,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_347 ),
inference(constrained_superposition,[],[f13279,f432]) ).
thf(f13505,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_347 ),
inference(constrained_superposition,[],[f13279,f58]) ).
thf(f13506,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_347 ),
inference(constrained_superposition,[],[f13279,f38]) ).
thf(f13508,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_347 ),
inference(trivial_inequality_removal,[],[f13505]) ).
thf(f13509,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_347 ),
inference(trivial_inequality_removal,[],[f13506]) ).
thf(f13512,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_347 ),
inference(trivial_inequality_removal,[],[f13503]) ).
thf(f13513,plain,
( spl0_26
| spl0_194
| spl0_347 ),
inference(avatar_split_clause,[],[f13508,f13278,f4750,f288]) ).
thf(f13514,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_57
| spl0_347 ),
inference(forward_subsumption_resolution,[],[f13509,f4596]) ).
thf(f13517,plain,
( spl0_194
| spl0_347 ),
inference(avatar_split_clause,[],[f13512,f13278,f4750]) ).
thf(f13518,plain,
( spl0_194
| spl0_57
| spl0_347 ),
inference(avatar_split_clause,[],[f13514,f13278,f857,f4750]) ).
thf(f13520,plain,
( spl0_198
| spl0_346 ),
inference(avatar_split_clause,[],[f13462,f13262,f4765]) ).
thf(f13521,plain,
( ~ spl0_14
| spl0_318
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f13072,f11766,f11099,f190]) ).
thf(f13523,plain,
( $false
| ~ spl0_115
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f1921,f4663]) ).
thf(f13524,plain,
( ~ spl0_115
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[],[f13523]) ).
thf(f13525,plain,
( $false
| ~ spl0_178
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f4635,f4663]) ).
thf(f13526,plain,
( ~ spl0_178
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[],[f13525]) ).
thf(f13596,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_108 ),
inference(constrained_superposition,[],[f220,f1877]) ).
thf(f13598,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_21
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f13596]) ).
thf(f13664,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_104 ),
inference(constrained_superposition,[],[f1665,f431]) ).
thf(f13671,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f13664]) ).
thf(f13693,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_194
| ~ spl0_211 ),
inference(constrained_superposition,[],[f4892,f4751]) ).
thf(f13707,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_194
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f13693]) ).
thf(f13708,plain,
( $false
| ~ spl0_71
| ~ spl0_194
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f13707,f974]) ).
thf(f13709,plain,
( ~ spl0_71
| ~ spl0_194
| ~ spl0_211 ),
inference(avatar_contradiction_clause,[],[f13708]) ).
thf(f13755,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f69,f4632]) ).
thf(f13778,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f13755]) ).
thf(f13792,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_177
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[],[f13778,f6903]) ).
thf(f13801,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_21
| ~ spl0_108
| ~ spl0_177
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[],[f13792,f13598]) ).
thf(f13810,plain,
( spl0_191
| ~ spl0_21
| ~ spl0_108
| ~ spl0_177
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f13801,f5042,f4631,f1876,f219,f4740]) ).
thf(f13815,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_312
| ~ spl0_333 ),
inference(constrained_superposition,[],[f11767,f11068]) ).
thf(f13816,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_312
| ~ spl0_316 ),
inference(constrained_superposition,[],[f11093,f11068]) ).
thf(f13826,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_312
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f13815]) ).
thf(f13827,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
!= $true )
| ~ spl0_312
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f13816]) ).
thf(f13828,plain,
( $false
| ~ spl0_71
| ~ spl0_312
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f13826,f974]) ).
thf(f13829,plain,
( ~ spl0_71
| ~ spl0_312
| ~ spl0_333 ),
inference(avatar_contradiction_clause,[],[f13828]) ).
thf(f13830,plain,
( $false
| ~ spl0_73
| ~ spl0_312
| ~ spl0_316 ),
inference(forward_subsumption_resolution,[],[f13827,f980]) ).
thf(f13831,plain,
( ~ spl0_73
| ~ spl0_312
| ~ spl0_316 ),
inference(avatar_contradiction_clause,[],[f13830]) ).
thf(f13846,plain,
( $false
| ~ spl0_302
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f12360,f10990]) ).
thf(f13847,plain,
( ~ spl0_302
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f13846]) ).
thf(f13864,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f11220,f432]) ).
thf(f13870,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f13864]) ).
thf(f13900,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f391,f4628]) ).
thf(f13904,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f174,f4628]) ).
thf(f13906,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f69,f4628]) ).
thf(f13921,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f13904]) ).
thf(f13924,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f13900]) ).
thf(f13937,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( 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 @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f13906]) ).
thf(f13940,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_176
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f13924,f10990]) ).
thf(f13947,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_21
| ~ spl0_108
| ~ spl0_176 ),
inference(forward_subsumption_resolution,[],[f13937,f13598]) ).
thf(f13949,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_176
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f13940,f31]) ).
thf(f13951,definition,
( spl0_350
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_350])],[avatar_definition]) ).
thf(f13952,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_350 ),
inference(avatar_component_clause,[],[f13951]) ).
thf(f13960,plain,
( spl0_305
| ~ spl0_325
| ~ spl0_21
| ~ spl0_108
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f13947,f4627,f1876,f219,f11222,f11036]) ).
thf(f13961,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_176
| spl0_185
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f13949,f4677]) ).
thf(f13963,plain,
( spl0_305
| ~ spl0_176
| spl0_185
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f13961,f10989,f4676,f4627,f11036]) ).
thf(f13975,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_322 ),
inference(constrained_superposition,[],[f11166,f432]) ).
thf(f13979,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f13975]) ).
thf(f13991,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_176
| ~ spl0_191 ),
inference(constrained_superposition,[],[f4741,f4628]) ).
thf(f13996,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_176
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f13991]) ).
thf(f14004,plain,
( ~ spl0_342
| ~ spl0_176
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f13996,f4740,f4627,f12721]) ).
thf(f14007,definition,
( spl0_352
<=> ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_352])],[avatar_definition]) ).
thf(f14008,plain,
( ! [X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_352 ),
inference(avatar_component_clause,[],[f14007]) ).
thf(f14011,plain,
( spl0_305
| ~ spl0_325
| spl0_107
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f13937,f4627,f1867,f11222,f11036]) ).
thf(f14014,plain,
( spl0_305
| spl0_108
| ~ spl0_326
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f13921,f4627,f11227,f1876,f11036]) ).
thf(f14015,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_176 ),
inference(forward_subsumption_resolution,[],[f13924,f31]) ).
thf(f14031,plain,
( spl0_185
| spl0_308
| spl0_305
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f14015,f4627,f11036,f11048,f4676]) ).
thf(f14076,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f409,f6912]) ).
thf(f14101,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f14076]) ).
thf(f14164,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_180 ),
inference(constrained_superposition,[],[f833,f4659]) ).
thf(f14171,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f14164]) ).
thf(f14229,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true )
| ( $true != $true ) )
| ~ spl0_66
| ~ spl0_304 ),
inference(constrained_superposition,[],[f1083,f11034]) ).
thf(f14232,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ z )
!= $true ) )
| ~ spl0_66
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f14229]) ).
thf(f14235,plain,
( spl0_316
| ~ spl0_66
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f14232,f11033,f920,f11092]) ).
thf(f14238,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f13870,f6912]) ).
thf(f14246,plain,
( ~ spl0_76
| spl0_193
| ~ spl0_52
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f14171,f4658,f832,f4747,f990]) ).
thf(f14250,definition,
( spl0_355
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_355])],[avatar_definition]) ).
thf(f14251,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_355 ),
inference(avatar_component_clause,[],[f14250]) ).
thf(f14254,definition,
( spl0_356
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_356])],[avatar_definition]) ).
thf(f14255,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_356 ),
inference(avatar_component_clause,[],[f14254]) ).
thf(f14257,plain,
( spl0_356
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f13671,f1664,f14254]) ).
thf(f14259,plain,
( spl0_312
| ~ spl0_60
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f14238,f11219,f898,f11067]) ).
thf(f14281,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_7
| spl0_76 ),
inference(constrained_superposition,[],[f2722,f125]) ).
thf(f14282,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_36
| spl0_76 ),
inference(constrained_superposition,[],[f2722,f490]) ).
thf(f14284,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_36
| spl0_76 ),
inference(trivial_inequality_removal,[],[f14282]) ).
thf(f14285,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_7
| spl0_76 ),
inference(trivial_inequality_removal,[],[f14281]) ).
thf(f14287,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_36
| spl0_69
| spl0_76 ),
inference(forward_subsumption_resolution,[],[f14284,f2319]) ).
thf(f14288,plain,
( $false
| ~ spl0_7
| spl0_69
| spl0_76 ),
inference(forward_subsumption_resolution,[],[f14285,f2319]) ).
thf(f14289,plain,
( ~ spl0_7
| spl0_69
| spl0_76 ),
inference(avatar_contradiction_clause,[],[f14288]) ).
thf(f14291,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_36
| spl0_69
| spl0_76 ),
inference(forward_subsumption_resolution,[],[f14287,f31]) ).
thf(f14292,plain,
( spl0_93
| ~ spl0_36
| spl0_69
| spl0_76 ),
inference(avatar_split_clause,[],[f14291,f990,f966,f489,f1255]) ).
thf(f14410,plain,
( ( $true != $true )
| ~ spl0_302
| ~ spl0_304 ),
inference(constrained_superposition,[],[f10990,f11034]) ).
thf(f14416,plain,
( $false
| ~ spl0_302
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f14410]) ).
thf(f14417,plain,
( ~ spl0_302
| ~ spl0_304 ),
inference(avatar_contradiction_clause,[],[f14416]) ).
thf(f14460,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_104
| ~ spl0_232 ),
inference(constrained_superposition,[],[f1665,f5672]) ).
thf(f14467,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_104
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f14460]) ).
thf(f14471,plain,
( $false
| ~ spl0_104
| ~ spl0_115
| ~ spl0_232 ),
inference(forward_subsumption_resolution,[],[f14467,f1921]) ).
thf(f14472,plain,
( ~ spl0_104
| ~ spl0_115
| ~ spl0_232 ),
inference(avatar_contradiction_clause,[],[f14471]) ).
thf(f14500,plain,
( spl0_73
| ~ spl0_9
| spl0_36
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f14101,f898,f489,f130,f979]) ).
thf(f14655,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_110
| ~ spl0_341 ),
inference(constrained_superposition,[],[f12665,f1890]) ).
thf(f14656,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f3756,f1890]) ).
thf(f14678,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f14656]) ).
thf(f14679,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_110
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f14655]) ).
thf(f14729,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_329 ),
inference(constrained_superposition,[],[f833,f11847]) ).
thf(f14733,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_52
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f14729]) ).
thf(f14735,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_52
| ~ spl0_55
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f14733,f3482]) ).
thf(f14736,plain,
( spl0_193
| ~ spl0_52
| ~ spl0_55
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f14735,f11475,f846,f832,f4747]) ).
thf(f14749,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f69,f5440]) ).
thf(f14761,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f4031,f5440]) ).
thf(f14765,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f14749]) ).
thf(f14776,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f14761]) ).
thf(f14912,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f391,f4614]) ).
thf(f14913,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f409,f4614]) ).
thf(f14914,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_172
| ~ spl0_341 ),
inference(constrained_superposition,[],[f12665,f4614]) ).
thf(f14915,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f3756,f4614]) ).
thf(f14917,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f122,f4614]) ).
thf(f14918,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f69,f4614]) ).
thf(f14922,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f49,f4614]) ).
thf(f14931,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_172
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f14914]) ).
thf(f14932,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f14918]) ).
thf(f14938,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f14913]) ).
thf(f14942,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f14922]) ).
thf(f14946,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f14915]) ).
thf(f14948,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f14912]) ).
thf(f14949,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f14917]) ).
thf(f14950,plain,
( spl0_191
| spl0_115
| ~ spl0_199
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f14932,f4613,f4768,f1920,f4740]) ).
thf(f14952,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_172
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f14938,f4677]) ).
thf(f14955,plain,
( ~ spl0_199
| spl0_200
| spl0_198
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f14949,f4613,f4765,f4771,f4768]) ).
thf(f14956,plain,
( spl0_197
| ~ spl0_196
| ~ spl0_172
| spl0_185 ),
inference(avatar_split_clause,[],[f14952,f4676,f4613,f4758,f4761]) ).
thf(f14986,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_316 ),
inference(constrained_superposition,[],[f11093,f156]) ).
thf(f14991,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f14986]) ).
thf(f15035,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_172 ),
inference(forward_subsumption_resolution,[],[f14948,f31]) ).
thf(f15046,plain,
( spl0_187
| spl0_191
| spl0_185
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f15035,f4613,f4676,f4740,f4725]) ).
thf(f15068,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_60 ),
inference(constrained_superposition,[],[f128,f6912]) ).
thf(f15074,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f15068]) ).
thf(f15075,plain,
( ~ spl0_58
| ~ spl0_8
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f15074,f898,f127,f890]) ).
thf(f15079,plain,
( ~ spl0_199
| spl0_71
| spl0_192
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f14765,f4747,f4744,f973,f4768]) ).
thf(f15087,plain,
( ~ spl0_330
| ~ spl0_199
| ~ spl0_172
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f14931,f12664,f4613,f4768,f11497]) ).
thf(f15103,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f211,f156]) ).
thf(f15108,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f15103]) ).
thf(f15363,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f4834,f156]) ).
thf(f15368,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f15363]) ).
thf(f15382,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f33,f4632]) ).
thf(f15396,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f15382]) ).
thf(f15481,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f3756,f4628]) ).
thf(f15483,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f122,f4628]) ).
thf(f15498,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( 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 @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f15483]) ).
thf(f15505,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f15481]) ).
thf(f15516,plain,
( ~ spl0_355
| spl0_350
| spl0_236
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f15505,f4627,f5570,f13951,f14250]) ).
thf(f15527,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_176
| ~ spl0_192 ),
inference(constrained_superposition,[],[f4745,f4628]) ).
thf(f15529,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_19
| ~ spl0_192 ),
inference(constrained_superposition,[],[f4745,f15108]) ).
thf(f15538,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f15529]) ).
thf(f15541,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_176
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f15527]) ).
thf(f15542,plain,
( $false
| ~ spl0_19
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f15538,f15108]) ).
thf(f15543,plain,
( ~ spl0_19
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f15542]) ).
thf(f15544,plain,
( ~ spl0_355
| ~ spl0_176
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f15541,f4744,f4627,f14250]) ).
thf(f15545,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_302 ),
inference(constrained_superposition,[],[f10990,f431]) ).
thf(f15550,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f15545]) ).
thf(f15554,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_302 ),
inference(constrained_superposition,[],[f409,f15550]) ).
thf(f15555,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_85
| ~ spl0_302 ),
inference(constrained_superposition,[],[f1057,f15550]) ).
thf(f15569,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_302 ),
inference(constrained_superposition,[],[f4028,f15550]) ).
thf(f15570,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_302 ),
inference(constrained_superposition,[],[f4031,f15550]) ).
thf(f15572,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f15569]) ).
thf(f15575,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f15554]) ).
thf(f15580,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_85
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f15555]) ).
thf(f15583,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f15570]) ).
thf(f15590,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_69
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f15572,f2319]) ).
thf(f15592,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f15575,f10990]) ).
thf(f15595,plain,
( ~ spl0_326
| ~ spl0_85
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f15580,f10989,f1056,f11227]) ).
thf(f15598,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f15583,f31]) ).
thf(f15602,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_69
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f15590,f31]) ).
thf(f15604,plain,
( spl0_74
| ~ spl0_58
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f15592,f10989,f890,f983]) ).
thf(f15606,definition,
( spl0_364
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_364])],[avatar_definition]) ).
thf(f15607,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_364 ),
inference(avatar_component_clause,[],[f15606]) ).
thf(f15616,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f15598,f10990]) ).
thf(f15618,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| spl0_69
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f15602,f31]) ).
thf(f15623,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f15616,f31]) ).
thf(f15625,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| spl0_69
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f15618,f10990]) ).
thf(f15626,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| spl0_73
| ~ spl0_302 ),
inference(forward_subsumption_resolution,[],[f15623,f6611]) ).
thf(f15628,plain,
( spl0_166
| spl0_69
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f15625,f10989,f966,f4276]) ).
thf(f15629,plain,
( spl0_166
| spl0_73
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f15626,f10989,f979,f4276]) ).
thf(f15630,plain,
( $false
| ~ spl0_302
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f11049,f10990]) ).
thf(f15631,plain,
( ~ spl0_302
| ~ spl0_308 ),
inference(avatar_contradiction_clause,[],[f15630]) ).
thf(f15637,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_326 ),
inference(constrained_superposition,[],[f11228,f58]) ).
thf(f15643,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_326 ),
inference(trivial_inequality_removal,[],[f15637]) ).
thf(f15648,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_326 ),
inference(forward_subsumption_resolution,[],[f15643,f31]) ).
thf(f15651,plain,
( $false
| ~ spl0_302
| spl0_326 ),
inference(forward_subsumption_resolution,[],[f15648,f10990]) ).
thf(f15652,plain,
( ~ spl0_302
| spl0_326 ),
inference(avatar_contradiction_clause,[],[f15651]) ).
thf(f15655,plain,
( spl0_312
| ~ spl0_65
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f13979,f11165,f916,f11067]) ).
thf(f15657,plain,
( spl0_318
| ~ spl0_18
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f14991,f11092,f204,f11099]) ).
thf(f15659,plain,
( ~ spl0_29
| ~ spl0_65
| ~ spl0_110
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f14679,f12664,f1889,f916,f314]) ).
thf(f15661,plain,
( ~ spl0_18
| spl0_113
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f15368,f4833,f1903,f204]) ).
thf(f15663,plain,
( $false
| ~ spl0_302
| spl0_355 ),
inference(forward_subsumption_resolution,[],[f14251,f15550]) ).
thf(f15664,plain,
( ~ spl0_302
| spl0_355 ),
inference(avatar_contradiction_clause,[],[f15663]) ).
thf(f15667,plain,
( ~ spl0_325
| spl0_180
| spl0_324
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f15498,f4627,f11219,f4658,f11222]) ).
thf(f15831,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f49,f1880]) ).
thf(f15838,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f4028,f1880]) ).
thf(f15853,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f15838]) ).
thf(f15854,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f15831]) ).
thf(f15858,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f15853,f31]) ).
thf(f15859,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_15
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f15854,f2312]) ).
thf(f15861,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| spl0_15
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f15858,f2312]) ).
thf(f15862,plain,
( ~ spl0_58
| spl0_67
| spl0_15
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f15859,f916,f194,f923,f890]) ).
thf(f15863,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| spl0_15
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f15861,f31]) ).
thf(f15864,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true ) )
| spl0_15
| ~ spl0_65
| spl0_73 ),
inference(forward_subsumption_resolution,[],[f15863,f6611]) ).
thf(f15865,plain,
( spl0_251
| spl0_15
| ~ spl0_65
| spl0_73 ),
inference(avatar_split_clause,[],[f15864,f979,f916,f194,f6267]) ).
thf(f15905,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_20
| ~ spl0_108 ),
inference(constrained_superposition,[],[f214,f1877]) ).
thf(f15908,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_20
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f15905]) ).
thf(f15909,plain,
( $false
| ~ spl0_20
| ~ spl0_108
| ~ spl0_185 ),
inference(forward_subsumption_resolution,[],[f15908,f4679]) ).
thf(f15910,plain,
( ~ spl0_20
| ~ spl0_108
| ~ spl0_185 ),
inference(avatar_contradiction_clause,[],[f15909]) ).
thf(f15916,definition,
( spl0_368
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_368])],[avatar_definition]) ).
thf(f15917,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_368 ),
inference(avatar_component_clause,[],[f15916]) ).
thf(f16001,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_67
| ~ spl0_91 ),
inference(constrained_superposition,[],[f924,f10490]) ).
thf(f16002,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_67 ),
inference(constrained_superposition,[],[f924,f57]) ).
thf(f16005,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_67
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f16001]) ).
thf(f16011,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f16002]) ).
thf(f16013,plain,
( ~ spl0_9
| ~ spl0_67
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f16005,f1236,f923,f130]) ).
thf(f16015,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_47
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f16011,f688]) ).
thf(f16016,plain,
( ~ spl0_9
| ~ spl0_47
| ~ spl0_67 ),
inference(avatar_split_clause,[],[f16015,f923,f687,f130]) ).
thf(f16028,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f33,f1904]) ).
thf(f16046,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f16028]) ).
thf(f16071,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_62 ),
inference(constrained_superposition,[],[f905,f29]) ).
thf(f16076,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_62
| ~ spl0_302 ),
inference(constrained_superposition,[],[f905,f15550]) ).
thf(f16080,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f16071]) ).
thf(f16088,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_62
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f16076]) ).
thf(f16089,plain,
( spl0_299
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f16080,f904,f10628]) ).
thf(f16090,plain,
( ~ spl0_325
| ~ spl0_62
| ~ spl0_302 ),
inference(avatar_split_clause,[],[f16088,f10989,f904,f11222]) ).
thf(f16153,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_364 ),
inference(constrained_superposition,[],[f15607,f57]) ).
thf(f16161,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f16153]) ).
thf(f16162,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_47
| ~ spl0_364 ),
inference(forward_subsumption_resolution,[],[f16161,f688]) ).
thf(f16163,plain,
( ~ spl0_9
| ~ spl0_47
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f16162,f15606,f687,f130]) ).
thf(f16164,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_186
| ~ spl0_236 ),
inference(constrained_superposition,[],[f4683,f5571]) ).
thf(f16169,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_186
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f16164]) ).
thf(f16174,plain,
( $false
| ~ spl0_81
| ~ spl0_186
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f16169,f1010]) ).
thf(f16175,plain,
( ~ spl0_81
| ~ spl0_186
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f16174]) ).
thf(f16190,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f391,f4621]) ).
thf(f16192,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_174
| ~ spl0_324 ),
inference(constrained_superposition,[],[f11220,f4621]) ).
thf(f16193,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f3756,f4621]) ).
thf(f16194,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f174,f4621]) ).
thf(f16195,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f122,f4621]) ).
thf(f16196,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f69,f4621]) ).
thf(f16200,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f49,f4621]) ).
thf(f16212,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_174
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f16192]) ).
thf(f16215,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f16190]) ).
thf(f16216,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
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f16196]) ).
thf(f16222,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f16200]) ).
thf(f16223,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f16195]) ).
thf(f16224,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f16194]) ).
thf(f16226,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f16193]) ).
thf(f16231,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_179
| ~ spl0_329 ),
inference(constrained_superposition,[],[f4656,f11847]) ).
thf(f16235,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_179
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f16231]) ).
thf(f16239,plain,
( $false
| ~ spl0_55
| ~ spl0_179
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f16235,f3482]) ).
thf(f16240,plain,
( ~ spl0_55
| ~ spl0_179
| ~ spl0_329 ),
inference(avatar_contradiction_clause,[],[f16239]) ).
thf(f16279,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_214 ),
inference(constrained_superposition,[],[f431,f4960]) ).
thf(f16409,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f16279,f32]) ).
thf(f16426,plain,
( $false
| ~ spl0_214 ),
inference(forward_subsumption_resolution,[],[f16409,f27]) ).
thf(f16427,plain,
~ spl0_214,
inference(avatar_contradiction_clause,[],[f16426]) ).
thf(f16428,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_329 ),
inference(constrained_superposition,[],[f11476,f156]) ).
thf(f16430,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_329 ),
inference(trivial_inequality_removal,[],[f16428]) ).
thf(f16433,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_312
| ~ spl0_317 ),
inference(constrained_superposition,[],[f11097,f11068]) ).
thf(f16437,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_312
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f16433]) ).
thf(f16441,plain,
( $false
| ~ spl0_81
| ~ spl0_312
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f16437,f1010]) ).
thf(f16442,plain,
( ~ spl0_81
| ~ spl0_312
| ~ spl0_317 ),
inference(avatar_contradiction_clause,[],[f16441]) ).
thf(f16455,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_174
| ~ spl0_350 ),
inference(constrained_superposition,[],[f13952,f4621]) ).
thf(f16456,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_350 ),
inference(constrained_superposition,[],[f13952,f57]) ).
thf(f16458,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_174
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f16455]) ).
thf(f16465,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_350 ),
inference(trivial_inequality_removal,[],[f16456]) ).
thf(f16466,plain,
( $false
| ~ spl0_174
| ~ spl0_193
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f16458,f5440]) ).
thf(f16467,plain,
( ~ spl0_174
| ~ spl0_193
| ~ spl0_350 ),
inference(avatar_contradiction_clause,[],[f16466]) ).
thf(f16468,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_91
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f16465,f10490]) ).
thf(f16469,plain,
( $false
| ~ spl0_47
| ~ spl0_91
| ~ spl0_350 ),
inference(forward_subsumption_resolution,[],[f16468,f688]) ).
thf(f16470,plain,
( ~ spl0_47
| ~ spl0_91
| ~ spl0_350 ),
inference(avatar_contradiction_clause,[],[f16469]) ).
thf(f16476,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_355 ),
inference(constrained_superposition,[],[f14251,f58]) ).
thf(f16480,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_355 ),
inference(trivial_inequality_removal,[],[f16476]) ).
thf(f16485,definition,
( spl0_371
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_371])],[avatar_definition]) ).
thf(f16486,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_371 ),
inference(avatar_component_clause,[],[f16485]) ).
thf(f16487,plain,
( spl0_215
| spl0_371
| spl0_355 ),
inference(avatar_split_clause,[],[f16480,f14250,f16485,f4964]) ).
thf(f16490,definition,
( spl0_372
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_372])],[avatar_definition]) ).
thf(f16491,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_372 ),
inference(avatar_component_clause,[],[f16490]) ).
thf(f16494,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_66
| ~ spl0_371 ),
inference(constrained_superposition,[],[f1083,f16486]) ).
thf(f16498,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_66
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f16494]) ).
thf(f16502,plain,
( spl0_316
| ~ spl0_66
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f16498,f16485,f920,f11092]) ).
thf(f16566,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_352 ),
inference(constrained_superposition,[],[f14008,f156]) ).
thf(f16572,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_352 ),
inference(trivial_inequality_removal,[],[f16566]) ).
thf(f16608,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_27
| ~ spl0_91 ),
inference(constrained_superposition,[],[f308,f10490]) ).
thf(f16610,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_27 ),
inference(constrained_superposition,[],[f308,f37]) ).
thf(f16622,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f16610]) ).
thf(f16625,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_27
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f16608]) ).
thf(f16627,plain,
( ~ spl0_24
| spl0_121
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f16622,f307,f2245,f264]) ).
thf(f16628,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ~ spl0_23
| ~ spl0_27
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f16625,f10469]) ).
thf(f16630,plain,
( $false
| ~ spl0_23
| ~ spl0_27
| spl0_73
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f16628,f6611]) ).
thf(f16631,plain,
( ~ spl0_23
| ~ spl0_27
| spl0_73
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f16630]) ).
thf(f16634,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_115
| ~ spl0_356 ),
inference(constrained_superposition,[],[f14255,f1921]) ).
thf(f16636,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_115
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f16634]) ).
thf(f16639,plain,
( $false
| ~ spl0_115
| spl0_184
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f16636,f5572]) ).
thf(f16640,plain,
( ~ spl0_115
| spl0_184
| ~ spl0_356 ),
inference(avatar_contradiction_clause,[],[f16639]) ).
thf(f16647,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_160
| ~ spl0_312 ),
inference(constrained_superposition,[],[f4116,f11068]) ).
thf(f16652,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_160
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f16647]) ).
thf(f16659,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_81
| ~ spl0_160
| ~ spl0_312 ),
inference(forward_subsumption_resolution,[],[f16652,f1010]) ).
thf(f16660,plain,
( spl0_304
| ~ spl0_81
| ~ spl0_160
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f16659,f11067,f4115,f1009,f11033]) ).
thf(f16661,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_174
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f16226,f5440]) ).
thf(f16662,plain,
( spl0_192
| spl0_312
| ~ spl0_174
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f16661,f4747,f4620,f11067,f4744]) ).
thf(f16671,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f4745,f57]) ).
thf(f16679,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f16671]) ).
thf(f16683,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_47
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f16679,f688]) ).
thf(f16684,plain,
( $false
| ~ spl0_47
| ~ spl0_91
| ~ spl0_192 ),
inference(forward_subsumption_resolution,[],[f16683,f10490]) ).
thf(f16685,plain,
( ~ spl0_47
| ~ spl0_91
| ~ spl0_192 ),
inference(avatar_contradiction_clause,[],[f16684]) ).
thf(f16750,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_276 ),
inference(constrained_superposition,[],[f8181,f37]) ).
thf(f16758,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_276 ),
inference(trivial_inequality_removal,[],[f16750]) ).
thf(f16759,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_69
| ~ spl0_276 ),
inference(forward_subsumption_resolution,[],[f16758,f2319]) ).
thf(f16760,plain,
( spl0_33
| ~ spl0_24
| spl0_69
| ~ spl0_276 ),
inference(avatar_split_clause,[],[f16759,f8180,f966,f264,f328]) ).
thf(f16780,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f10495,f432]) ).
thf(f16781,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_172
| ~ spl0_295 ),
inference(constrained_superposition,[],[f10495,f4614]) ).
thf(f16784,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f10495,f37]) ).
thf(f16787,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_172
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f16781]) ).
thf(f16789,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f16780]) ).
thf(f16790,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f16784]) ).
thf(f16804,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_243 ),
inference(constrained_superposition,[],[f5629,f37]) ).
thf(f16809,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_243 ),
inference(trivial_inequality_removal,[],[f16804]) ).
thf(f16820,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_113
| ~ spl0_176 ),
inference(constrained_superposition,[],[f16046,f4628]) ).
thf(f16821,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_113
| ~ spl0_177 ),
inference(constrained_superposition,[],[f16046,f4632]) ).
thf(f16829,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f16820]) ).
thf(f16834,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_113
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f16821]) ).
thf(f16836,plain,
( ~ spl0_326
| spl0_322
| ~ spl0_113
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f16829,f4627,f1903,f11165,f11227]) ).
thf(f16837,plain,
( ~ spl0_109
| spl0_111
| ~ spl0_113
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f16834,f4631,f1903,f1892,f1886]) ).
thf(f16838,plain,
( spl0_113
| spl0_329 ),
inference(avatar_split_clause,[],[f16430,f11475,f1903]) ).
thf(f16876,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f15396,f432]) ).
thf(f16877,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_176
| ~ spl0_177 ),
inference(constrained_superposition,[],[f15396,f4628]) ).
thf(f16883,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f16876]) ).
thf(f16884,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_176
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f16877]) ).
thf(f16891,plain,
( spl0_219
| ~ spl0_347
| spl0_236
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f16883,f4631,f5570,f13278,f5045]) ).
thf(f16893,definition,
( spl0_373
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).
thf(f16894,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_373 ),
inference(avatar_component_clause,[],[f16893]) ).
thf(f16895,plain,
( spl0_373
| ~ spl0_342
| ~ spl0_176
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f16884,f4631,f4627,f12721,f16893]) ).
thf(f16911,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_174
| ~ spl0_373 ),
inference(constrained_superposition,[],[f16894,f4621]) ).
thf(f16912,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_318
| ~ spl0_373 ),
inference(constrained_superposition,[],[f16894,f11100]) ).
thf(f16913,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_373 ),
inference(constrained_superposition,[],[f16894,f57]) ).
thf(f16918,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_174
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f16911]) ).
thf(f16921,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f16913]) ).
thf(f16922,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_318
| ~ spl0_373 ),
inference(trivial_inequality_removal,[],[f16912]) ).
thf(f16924,plain,
( $false
| ~ spl0_172
| ~ spl0_174
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f16918,f4614]) ).
thf(f16925,plain,
( ~ spl0_172
| ~ spl0_174
| ~ spl0_373 ),
inference(avatar_contradiction_clause,[],[f16924]) ).
thf(f16926,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_47
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f16921,f688]) ).
thf(f16927,plain,
( $false
| ~ spl0_110
| ~ spl0_318
| ~ spl0_373 ),
inference(forward_subsumption_resolution,[],[f16922,f1890]) ).
thf(f16928,plain,
( ~ spl0_110
| ~ spl0_318
| ~ spl0_373 ),
inference(avatar_contradiction_clause,[],[f16927]) ).
thf(f16929,plain,
( ~ spl0_346
| ~ spl0_47
| ~ spl0_373 ),
inference(avatar_split_clause,[],[f16926,f16893,f687,f13262]) ).
thf(f16936,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f16215,f31]) ).
thf(f16937,plain,
( ~ spl0_199
| ~ spl0_174
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f16212,f11219,f4620,f4768]) ).
thf(f16938,plain,
( spl0_321
| ~ spl0_199
| spl0_200
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f16223,f4620,f4771,f4768,f11161]) ).
thf(f16942,plain,
( ~ spl0_114
| spl0_106
| ~ spl0_172
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f16787,f10494,f4613,f1864,f1906]) ).
thf(f16944,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_172
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f14946,f5440]) ).
thf(f16947,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_55
| ~ spl0_352 ),
inference(forward_subsumption_resolution,[],[f16572,f3482]) ).
thf(f16950,plain,
( ~ spl0_114
| spl0_305
| spl0_310
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f16224,f4620,f11055,f11036,f1906]) ).
thf(f16951,plain,
( spl0_305
| spl0_304
| ~ spl0_199
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f16216,f4620,f4768,f11033,f11036]) ).
thf(f16954,plain,
( spl0_305
| spl0_308
| spl0_185
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f16936,f4620,f4676,f11048,f11036]) ).
thf(f16955,plain,
( spl0_194
| spl0_192
| ~ spl0_172
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f16944,f4747,f4613,f4744,f4750]) ).
thf(f16956,plain,
( spl0_318
| ~ spl0_55
| ~ spl0_352 ),
inference(avatar_split_clause,[],[f16947,f14007,f846,f11099]) ).
thf(f17023,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f155,f4870]) ).
thf(f17116,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f314]) ).
thf(f17143,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_210 ),
inference(forward_subsumption_resolution,[],[f17023,f27]) ).
thf(f17171,plain,
( $false
| ~ spl0_210 ),
inference(forward_subsumption_resolution,[],[f17143,f32]) ).
thf(f17172,plain,
~ spl0_210,
inference(avatar_contradiction_clause,[],[f17171]) ).
thf(f17241,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_198 ),
inference(constrained_superposition,[],[f833,f4766]) ).
thf(f17243,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_198 ),
inference(constrained_superposition,[],[f30,f4766]) ).
thf(f17245,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f17243]) ).
thf(f17246,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f17241]) ).
thf(f17248,plain,
( spl0_211
| spl0_181
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f17245,f4765,f4662,f4891]) ).
thf(f17249,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_76
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f17246,f991]) ).
thf(f17250,plain,
( spl0_184
| ~ spl0_52
| ~ spl0_76
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f17249,f4765,f990,f832,f4672]) ).
thf(f17287,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f33,f4673]) ).
thf(f17296,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f17287]) ).
thf(f17419,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_321 ),
inference(constrained_superposition,[],[f833,f11162]) ).
thf(f17423,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f17419]) ).
thf(f17426,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_76
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f17423,f991]) ).
thf(f17432,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
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f69,f11100]) ).
thf(f17438,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f33,f11100]) ).
thf(f17445,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f17438]) ).
thf(f17457,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f17432]) ).
thf(f17476,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_52
| ~ spl0_76
| ~ spl0_321 ),
inference(constrained_superposition,[],[f49,f17426]) ).
thf(f17487,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_52
| ~ spl0_76
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f17476]) ).
thf(f17503,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_52
| spl0_69
| ~ spl0_76
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f17487,f2319]) ).
thf(f17515,plain,
( ~ spl0_314
| spl0_364
| ~ spl0_52
| spl0_69
| ~ spl0_76
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f17503,f11161,f990,f966,f832,f15606,f11076]) ).
thf(f17578,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f4745,f57]) ).
thf(f17579,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f4745,f37]) ).
thf(f17583,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f17579]) ).
thf(f17586,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f17578]) ).
thf(f17604,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_174
| ~ spl0_322 ),
inference(constrained_superposition,[],[f11166,f4621]) ).
thf(f17609,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_174
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f17604]) ).
thf(f17617,plain,
( ~ spl0_114
| ~ spl0_174
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f17609,f11165,f4620,f1906]) ).
thf(f17628,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f4741,f432]) ).
thf(f17629,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_191 ),
inference(constrained_superposition,[],[f4741,f57]) ).
thf(f17631,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f17628]) ).
thf(f17634,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_191 ),
inference(trivial_inequality_removal,[],[f17629]) ).
thf(f17644,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_110
| ~ spl0_340 ),
inference(constrained_superposition,[],[f12661,f1890]) ).
thf(f17656,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_110
| ~ spl0_340 ),
inference(trivial_inequality_removal,[],[f17644]) ).
thf(f17657,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_23
| ~ spl0_110
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f17656,f10469]) ).
thf(f17658,plain,
( $false
| ~ spl0_23
| ~ spl0_29
| ~ spl0_110
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f17657,f17116]) ).
thf(f17659,plain,
( ~ spl0_23
| ~ spl0_29
| ~ spl0_110
| ~ spl0_340 ),
inference(avatar_contradiction_clause,[],[f17658]) ).
thf(f17664,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_305 ),
inference(constrained_superposition,[],[f11037,f432]) ).
thf(f17667,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_305 ),
inference(constrained_superposition,[],[f11037,f57]) ).
thf(f17670,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f17667]) ).
thf(f17677,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f17664]) ).
thf(f17694,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f17445,f432]) ).
thf(f17695,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_174
| ~ spl0_318 ),
inference(constrained_superposition,[],[f17445,f4621]) ).
thf(f17697,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f17445,f57]) ).
thf(f17698,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f17445,f37]) ).
thf(f17699,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_174
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f17695]) ).
thf(f17703,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f17694]) ).
thf(f17706,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f17697]) ).
thf(f17708,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f17698]) ).
thf(f17713,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f17296,f432]) ).
thf(f17714,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_172
| ~ spl0_184 ),
inference(constrained_superposition,[],[f17296,f4614]) ).
thf(f17719,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f17713]) ).
thf(f17723,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_172
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f17714]) ).
thf(f17728,definition,
( spl0_378
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_378])],[avatar_definition]) ).
thf(f17729,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_378 ),
inference(avatar_component_clause,[],[f17728]) ).
thf(f17730,plain,
( spl0_378
| spl0_194
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f17719,f4672,f4750,f17728]) ).
thf(f17731,plain,
( spl0_189
| ~ spl0_172
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f17723,f4672,f4613,f4732]) ).
thf(f17755,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_172
| ~ spl0_378 ),
inference(constrained_superposition,[],[f17729,f4614]) ).
thf(f17758,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_378 ),
inference(constrained_superposition,[],[f17729,f37]) ).
thf(f17761,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_378 ),
inference(trivial_inequality_removal,[],[f17758]) ).
thf(f17766,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_172
| ~ spl0_378 ),
inference(trivial_inequality_removal,[],[f17755]) ).
thf(f17771,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_174
| ~ spl0_189 ),
inference(constrained_superposition,[],[f4733,f4621]) ).
thf(f17772,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f4733,f155]) ).
thf(f17780,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f17772]) ).
thf(f17786,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_174
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f17771]) ).
thf(f17795,plain,
( ~ spl0_342
| ~ spl0_355
| ~ spl0_174
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f17786,f4732,f4620,f14250,f12721]) ).
thf(f17797,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_355 ),
inference(constrained_superposition,[],[f14251,f58]) ).
thf(f17799,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_355 ),
inference(constrained_superposition,[],[f14251,f29]) ).
thf(f17802,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_355 ),
inference(trivial_inequality_removal,[],[f17799]) ).
thf(f17803,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_355 ),
inference(trivial_inequality_removal,[],[f17797]) ).
thf(f17806,plain,
( spl0_371
| spl0_372
| spl0_355 ),
inference(avatar_split_clause,[],[f17802,f14250,f16490,f16485]) ).
thf(f17807,plain,
( spl0_215
| spl0_371
| spl0_355 ),
inference(avatar_split_clause,[],[f17803,f14250,f16485,f4964]) ).
thf(f17809,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f378,f16486]) ).
thf(f17810,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_104
| ~ spl0_371 ),
inference(constrained_superposition,[],[f1665,f16486]) ).
thf(f17814,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_104
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f17810]) ).
thf(f17817,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f17809]) ).
thf(f17818,plain,
( $false
| ~ spl0_104
| ~ spl0_304
| ~ spl0_371 ),
inference(forward_subsumption_resolution,[],[f17814,f11034]) ).
thf(f17819,plain,
( ~ spl0_104
| ~ spl0_304
| ~ spl0_371 ),
inference(avatar_contradiction_clause,[],[f17818]) ).
thf(f17822,definition,
( spl0_379
<=> ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_379])],[avatar_definition]) ).
thf(f17823,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_379 ),
inference(avatar_component_clause,[],[f17822]) ).
thf(f17824,plain,
( ~ spl0_268
| spl0_379
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f17583,f4744,f17822,f7079]) ).
thf(f17830,plain,
( spl0_312
| ~ spl0_330
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f17677,f11036,f11497,f11067]) ).
thf(f17831,plain,
( spl0_85
| spl0_194
| ~ spl0_65
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f16789,f10494,f916,f4750,f1056]) ).
thf(f17833,definition,
( spl0_381
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_381])],[avatar_definition]) ).
thf(f17834,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_381 ),
inference(avatar_component_clause,[],[f17833]) ).
thf(f17845,plain,
( spl0_106
| ~ spl0_114
| ~ spl0_174
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f17699,f11099,f4620,f1906,f1864]) ).
thf(f17847,definition,
( spl0_384
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_384])],[avatar_definition]) ).
thf(f17848,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_384 ),
inference(avatar_component_clause,[],[f17847]) ).
thf(f17849,plain,
( ~ spl0_58
| ~ spl0_268
| spl0_384
| ~ spl0_378 ),
inference(avatar_split_clause,[],[f17761,f17728,f17847,f7079,f890]) ).
thf(f17850,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_172
| ~ spl0_193
| ~ spl0_378 ),
inference(forward_subsumption_resolution,[],[f17766,f5440]) ).
thf(f17853,plain,
( spl0_381
| spl0_33
| ~ spl0_24
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f17708,f11099,f264,f328,f17833]) ).
thf(f17856,plain,
( spl0_249
| spl0_381
| ~ spl0_195
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f16222,f4620,f4754,f17833,f6192]) ).
thf(f17862,plain,
( spl0_384
| ~ spl0_195
| spl0_249
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f14942,f4613,f6192,f4754,f17847]) ).
thf(f17864,plain,
( spl0_312
| spl0_85
| ~ spl0_65
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f17703,f11099,f916,f1056,f11067]) ).
thf(f17876,plain,
( ~ spl0_268
| ~ spl0_196
| spl0_379
| ~ spl0_243 ),
inference(avatar_split_clause,[],[f16809,f5628,f17822,f4758,f7079]) ).
thf(f17878,plain,
( spl0_33
| spl0_384
| ~ spl0_24
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f16790,f10494,f264,f17847,f328]) ).
thf(f17879,plain,
( ~ spl0_331
| spl0_321
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f17670,f11036,f11161,f11502]) ).
thf(f17884,plain,
( spl0_236
| ~ spl0_347
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f17631,f4740,f13278,f5570]) ).
thf(f17886,plain,
( ~ spl0_330
| ~ spl0_172
| ~ spl0_193
| ~ spl0_378 ),
inference(avatar_split_clause,[],[f17850,f17728,f4747,f4613,f11497]) ).
thf(f17916,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_69
| ~ spl0_105 ),
inference(constrained_superposition,[],[f1680,f967]) ).
thf(f17918,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_69
| ~ spl0_105 ),
inference(trivial_inequality_removal,[],[f17916]) ).
thf(f17920,plain,
( $false
| ~ spl0_15
| ~ spl0_69
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f17918,f195]) ).
thf(f17921,plain,
( ~ spl0_15
| ~ spl0_69
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[],[f17920]) ).
thf(f17923,plain,
( ~ spl0_346
| spl0_180
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f17634,f4740,f4658,f13262]) ).
thf(f17929,plain,
( spl0_180
| ~ spl0_91
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f17586,f4744,f1236,f4658]) ).
thf(f17931,plain,
( spl0_31
| ~ spl0_23
| spl0_321
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f17706,f11099,f11161,f260,f321]) ).
thf(f17934,definition,
( spl0_389
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_389])],[avatar_definition]) ).
thf(f17935,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_389 ),
inference(avatar_component_clause,[],[f17934]) ).
thf(f17946,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_53
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f14678,f836]) ).
thf(f17956,plain,
( spl0_85
| ~ spl0_96
| ~ spl0_53
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f17946,f1889,f835,f1484,f1056]) ).
thf(f17994,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_268 ),
inference(constrained_superposition,[],[f7080,f29]) ).
thf(f17996,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_268 ),
inference(trivial_inequality_removal,[],[f17994]) ).
thf(f18003,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f391,f6912]) ).
thf(f18008,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f49,f6912]) ).
thf(f18015,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f4028,f6912]) ).
thf(f18020,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f18015]) ).
thf(f18025,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f18008]) ).
thf(f18027,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f18003]) ).
thf(f18052,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_211
| ~ spl0_384 ),
inference(constrained_superposition,[],[f4892,f17848]) ).
thf(f18054,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_211
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f18052]) ).
thf(f18056,plain,
( $false
| ~ spl0_4
| ~ spl0_211
| ~ spl0_384 ),
inference(forward_subsumption_resolution,[],[f18054,f84]) ).
thf(f18057,plain,
( ~ spl0_4
| ~ spl0_211
| ~ spl0_384 ),
inference(avatar_contradiction_clause,[],[f18056]) ).
thf(f18062,plain,
( $false
| ~ spl0_53
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f5571,f836]) ).
thf(f18063,plain,
( ~ spl0_53
| ~ spl0_236 ),
inference(avatar_contradiction_clause,[],[f18062]) ).
thf(f18064,plain,
( spl0_108
| ~ spl0_110
| ~ spl0_96
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f17780,f4732,f1484,f1889,f1876]) ).
thf(f18071,plain,
( spl0_67
| spl0_4
| ~ spl0_58
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f18025,f898,f890,f83,f923]) ).
thf(f18072,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true ) )
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f18020,f31]) ).
thf(f18073,plain,
( spl0_322
| spl0_304
| ~ spl0_29
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f17457,f11099,f314,f11033,f11165]) ).
thf(f18079,plain,
( ( $true != $true )
| ~ spl0_35
| ~ spl0_69 ),
inference(constrained_superposition,[],[f352,f967]) ).
thf(f18082,plain,
( $false
| ~ spl0_35
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f18079]) ).
thf(f18083,plain,
( ~ spl0_35
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f18082]) ).
thf(f18084,plain,
( spl0_317
| spl0_318
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f17817,f16485,f11099,f11096]) ).
thf(f18086,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_35
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f18072,f352]) ).
thf(f18087,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f14776,f31]) ).
thf(f18088,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f18027,f31]) ).
thf(f18092,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_35
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f2283,f352]) ).
thf(f18101,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_268 ),
inference(forward_subsumption_resolution,[],[f17996,f31]) ).
thf(f18103,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_35
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f18086,f352]) ).
thf(f18104,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f18087,f31]) ).
thf(f18105,plain,
( spl0_62
| spl0_73
| spl0_1
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f18088,f898,f73,f979,f904]) ).
thf(f18108,plain,
( $false
| ~ spl0_35
| spl0_268 ),
inference(forward_subsumption_resolution,[],[f18101,f352]) ).
thf(f18109,plain,
( ~ spl0_35
| spl0_268 ),
inference(avatar_contradiction_clause,[],[f18108]) ).
thf(f18111,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_35
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f18103,f31]) ).
thf(f18119,plain,
( spl0_42
| spl0_73
| ~ spl0_35
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f18111,f898,f351,f979,f614]) ).
thf(f18150,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f378,f980]) ).
thf(f18152,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f18150]) ).
thf(f18154,plain,
( spl0_96
| spl0_105
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f18152,f979,f1679,f1484]) ).
thf(f18174,plain,
( $false
| ~ spl0_35
| spl0_71
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f5336,f18092]) ).
thf(f18175,plain,
( ~ spl0_35
| spl0_71
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f18174]) ).
thf(f18266,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f122,f1485]) ).
thf(f18267,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f69,f1485]) ).
thf(f18283,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f18266]) ).
thf(f18293,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f18267]) ).
thf(f18300,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f378,f4679]) ).
thf(f18303,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f18300]) ).
thf(f18304,plain,
( spl0_186
| spl0_113
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f18303,f4676,f1903,f4682]) ).
thf(f18309,plain,
( $false
| ~ spl0_35
| ~ spl0_379 ),
inference(forward_subsumption_resolution,[],[f17823,f352]) ).
thf(f18310,plain,
( ~ spl0_35
| ~ spl0_379 ),
inference(avatar_contradiction_clause,[],[f18309]) ).
thf(f18314,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| spl0_71
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f18293,f5336]) ).
thf(f18317,plain,
( spl0_76
| spl0_31
| ~ spl0_29
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f18283,f1484,f314,f321,f990]) ).
thf(f18322,plain,
( spl0_85
| ~ spl0_29
| spl0_71
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f18314,f1484,f973,f314,f1056]) ).
thf(f18339,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f211,f156]) ).
thf(f18345,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f18339]) ).
thf(f18347,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| spl0_4
| ~ spl0_170 ),
inference(constrained_superposition,[],[f11989,f4595]) ).
thf(f18349,plain,
( ( z
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_4
| ~ spl0_170 ),
inference(trivial_inequality_removal,[],[f18347]) ).
thf(f18351,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_4
| ~ spl0_170 ),
inference(forward_subsumption_resolution,[],[f18349,f31]) ).
thf(f18352,plain,
( spl0_26
| spl0_4
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f18351,f4594,f83,f288]) ).
thf(f18361,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f391,f17116]) ).
thf(f18362,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f409,f17116]) ).
thf(f18364,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f414,f17116]) ).
thf(f18376,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( z = X0 )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f18362]) ).
thf(f18379,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f18361]) ).
thf(f18385,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f18364]) ).
thf(f18392,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f18379,f211]) ).
thf(f18396,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 ) )
| spl0_4
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f18385,f11989]) ).
thf(f18401,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f18392,f31]) ).
thf(f18405,definition,
( spl0_397
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_397])],[avatar_definition]) ).
thf(f18406,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_397 ),
inference(avatar_component_clause,[],[f18405]) ).
thf(f18408,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| spl0_4
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f18396,f211]) ).
thf(f18412,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_1
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f18401,f1195]) ).
thf(f18413,plain,
( spl0_397
| ~ spl0_24
| spl0_4
| ~ spl0_19
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f18408,f314,f210,f83,f264,f18405]) ).
thf(f18416,plain,
( spl0_31
| spl0_1
| ~ spl0_19
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f18412,f314,f210,f73,f321]) ).
thf(f18425,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_91 ),
inference(constrained_superposition,[],[f391,f10490]) ).
thf(f18440,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_91 ),
inference(constrained_superposition,[],[f4028,f10490]) ).
thf(f18441,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_91 ),
inference(constrained_superposition,[],[f4031,f10490]) ).
thf(f18450,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f18425]) ).
thf(f18454,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f18441]) ).
thf(f18455,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f18440]) ).
thf(f18486,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f69,f18345]) ).
thf(f18507,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f18486]) ).
thf(f18522,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f18507,f17116]) ).
thf(f18532,plain,
( spl0_30
| ~ spl0_19
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f18522,f314,f210,f317]) ).
thf(f18557,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f329,f57]) ).
thf(f18564,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_33 ),
inference(trivial_inequality_removal,[],[f18557]) ).
thf(f18565,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f378,f1868]) ).
thf(f18566,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_107 ),
inference(constrained_superposition,[],[f30,f1868]) ).
thf(f18567,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f18565]) ).
thf(f18568,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_107 ),
inference(trivial_inequality_removal,[],[f18566]) ).
thf(f18569,plain,
( spl0_209
| spl0_47
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f18568,f1867,f687,f4856]) ).
thf(f18636,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_108 ),
inference(constrained_superposition,[],[f378,f1877]) ).
thf(f18639,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f18636]) ).
thf(f18648,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f378,f4751]) ).
thf(f18649,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(constrained_superposition,[],[f30,f4751]) ).
thf(f18650,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f18649]) ).
thf(f18651,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f18648]) ).
thf(f18652,plain,
( spl0_181
| spl0_206
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f18650,f4750,f4811,f4662]) ).
thf(f18665,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f378,f5672]) ).
thf(f18669,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f18665]) ).
thf(f18703,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_326 ),
inference(constrained_superposition,[],[f11228,f155]) ).
thf(f18705,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_326 ),
inference(constrained_superposition,[],[f11228,f38]) ).
thf(f18709,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_326 ),
inference(trivial_inequality_removal,[],[f18703]) ).
thf(f18710,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_326 ),
inference(trivial_inequality_removal,[],[f18705]) ).
thf(f18713,plain,
( spl0_310
| spl0_326 ),
inference(avatar_split_clause,[],[f18709,f11227,f11055]) ).
thf(f18714,plain,
( spl0_310
| spl0_210
| spl0_326 ),
inference(avatar_split_clause,[],[f18710,f11227,f4869,f11055]) ).
thf(f18757,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f391,f4632]) ).
thf(f18759,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f3756,f4632]) ).
thf(f18760,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f174,f4632]) ).
thf(f18761,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f122,f4632]) ).
thf(f18762,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f69,f4632]) ).
thf(f18766,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f49,f4632]) ).
thf(f18776,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f18757]) ).
thf(f18780,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f18762]) ).
thf(f18785,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f18761]) ).
thf(f18787,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f18766]) ).
thf(f18789,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f18759]) ).
thf(f18791,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f18760]) ).
thf(f18795,plain,
( spl0_222
| ~ spl0_196
| spl0_379
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f18787,f4631,f17822,f4758,f5060]) ).
thf(f18830,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f4812,f156]) ).
thf(f18836,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f18830]) ).
thf(f18886,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_179
| ~ spl0_379 ),
inference(constrained_superposition,[],[f4656,f17823]) ).
thf(f18889,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_179
| ~ spl0_379 ),
inference(trivial_inequality_removal,[],[f18886]) ).
thf(f18893,plain,
( $false
| ~ spl0_69
| ~ spl0_179
| ~ spl0_379 ),
inference(forward_subsumption_resolution,[],[f18889,f967]) ).
thf(f18894,plain,
( ~ spl0_69
| ~ spl0_179
| ~ spl0_379 ),
inference(avatar_contradiction_clause,[],[f18893]) ).
thf(f18897,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_173
| ~ spl0_317 ),
inference(constrained_superposition,[],[f11097,f4618]) ).
thf(f18899,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_317 ),
inference(constrained_superposition,[],[f11097,f490]) ).
thf(f18902,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f18899]) ).
thf(f18904,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_173
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f18897]) ).
thf(f18905,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_36
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f18902,f181]) ).
thf(f18906,plain,
( $false
| ~ spl0_108
| ~ spl0_173
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f18904,f1877]) ).
thf(f18907,plain,
( ~ spl0_108
| ~ spl0_173
| ~ spl0_317 ),
inference(avatar_contradiction_clause,[],[f18906]) ).
thf(f18908,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_36
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f18905,f31]) ).
thf(f18909,plain,
( spl0_381
| spl0_327
| ~ spl0_11
| ~ spl0_36
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f18908,f11096,f489,f180,f11248,f17833]) ).
thf(f18964,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_322 ),
inference(constrained_superposition,[],[f11166,f57]) ).
thf(f18965,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_322 ),
inference(constrained_superposition,[],[f11166,f37]) ).
thf(f18970,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f18965]) ).
thf(f18972,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_322 ),
inference(trivial_inequality_removal,[],[f18964]) ).
thf(f19024,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_303 ),
inference(constrained_superposition,[],[f10993,f490]) ).
thf(f19027,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f19024]) ).
thf(f19030,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_180
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f19027,f4659]) ).
thf(f19031,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ~ spl0_36
| ~ spl0_180
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f19030,f31]) ).
thf(f19032,plain,
( spl0_327
| spl0_381
| ~ spl0_36
| ~ spl0_180
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f19031,f10992,f4658,f489,f17833,f11248]) ).
thf(f19087,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_327 ),
inference(constrained_superposition,[],[f431,f11249]) ).
thf(f19173,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f19087,f27]) ).
thf(f19195,plain,
( $false
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f19173,f32]) ).
thf(f19196,plain,
~ spl0_327,
inference(avatar_contradiction_clause,[],[f19195]) ).
thf(f19202,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f18376,f211]) ).
thf(f19203,plain,
( ~ spl0_9
| spl0_36
| ~ spl0_19
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f19202,f314,f210,f489,f130]) ).
thf(f19217,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_211
| ~ spl0_335 ),
inference(constrained_superposition,[],[f4892,f12360]) ).
thf(f19218,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_206
| ~ spl0_335 ),
inference(constrained_superposition,[],[f4812,f12360]) ).
thf(f19221,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f19218]) ).
thf(f19225,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_211
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f19217]) ).
thf(f19226,plain,
( $false
| ~ spl0_206
| ~ spl0_335
| ~ spl0_371 ),
inference(forward_subsumption_resolution,[],[f19221,f16486]) ).
thf(f19227,plain,
( ~ spl0_206
| ~ spl0_335
| ~ spl0_371 ),
inference(avatar_contradiction_clause,[],[f19226]) ).
thf(f19229,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_304 ),
inference(avatar_component_clause,[],[f11033]) ).
thf(f19231,plain,
( ~ spl0_304
| ~ spl0_211
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f19225,f12359,f4891,f11033]) ).
thf(f19232,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| spl0_76 ),
inference(constrained_superposition,[],[f2722,f615]) ).
thf(f19247,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_42
| spl0_76 ),
inference(trivial_inequality_removal,[],[f19232]) ).
thf(f19250,plain,
( spl0_93
| ~ spl0_42
| spl0_76 ),
inference(avatar_split_clause,[],[f19247,f990,f614,f1255]) ).
thf(f19251,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_352
| ~ spl0_381 ),
inference(constrained_superposition,[],[f14008,f17834]) ).
thf(f19254,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_352
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f19251]) ).
thf(f19256,plain,
( $false
| ~ spl0_69
| ~ spl0_352
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f19254,f967]) ).
thf(f19257,plain,
( ~ spl0_69
| ~ spl0_352
| ~ spl0_381 ),
inference(avatar_contradiction_clause,[],[f19256]) ).
thf(f19261,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206
| ~ spl0_335 ),
inference(constrained_superposition,[],[f19221,f431]) ).
thf(f19264,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f19261]) ).
thf(f19278,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_372 ),
inference(constrained_superposition,[],[f432,f16491]) ).
thf(f19379,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_372 ),
inference(forward_subsumption_resolution,[],[f19278,f32]) ).
thf(f19384,plain,
( $false
| ~ spl0_372 ),
inference(forward_subsumption_resolution,[],[f19379,f27]) ).
thf(f19385,plain,
~ spl0_372,
inference(avatar_contradiction_clause,[],[f19384]) ).
thf(f19390,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_206
| ~ spl0_335 ),
inference(constrained_superposition,[],[f122,f19264]) ).
thf(f19404,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_206
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f19390]) ).
thf(f19422,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_76
| ~ spl0_206
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f19404,f2722]) ).
thf(f19425,plain,
( spl0_324
| ~ spl0_325
| spl0_76
| ~ spl0_206
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f19422,f12359,f4811,f990,f11222,f11219]) ).
thf(f19433,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_173 ),
inference(constrained_superposition,[],[f378,f4618]) ).
thf(f19434,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_173
| ~ spl0_316 ),
inference(constrained_superposition,[],[f11093,f4618]) ).
thf(f19438,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_173
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f19434]) ).
thf(f19440,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f19433]) ).
thf(f19442,plain,
( $false
| ~ spl0_173
| ~ spl0_185
| ~ spl0_316 ),
inference(forward_subsumption_resolution,[],[f19438,f4679]) ).
thf(f19443,plain,
( ~ spl0_173
| ~ spl0_185
| ~ spl0_316 ),
inference(avatar_contradiction_clause,[],[f19442]) ).
thf(f19447,plain,
( spl0_381
| ~ spl0_24
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f18970,f11165,f264,f17833]) ).
thf(f19449,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f18379,f31]) ).
thf(f19452,plain,
( spl0_321
| ~ spl0_23
| ~ spl0_322 ),
inference(avatar_split_clause,[],[f18972,f11165,f260,f11161]) ).
thf(f19453,plain,
( ~ spl0_55
| spl0_110
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f18836,f4811,f1889,f846]) ).
thf(f19457,plain,
( spl0_186
| spl0_113
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f18567,f1867,f1903,f4682]) ).
thf(f19460,plain,
( spl0_186
| spl0_113
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f18639,f1876,f1903,f4682]) ).
thf(f19464,plain,
( spl0_204
| spl0_110
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f18669,f5438,f1889,f4802]) ).
thf(f19467,plain,
( ~ spl0_9
| spl0_11
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f18564,f328,f180,f130]) ).
thf(f19468,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f18455,f31]) ).
thf(f19470,plain,
( spl0_186
| spl0_113
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f19440,f4617,f1903,f4682]) ).
thf(f19471,plain,
( spl0_96
| spl0_105
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f18651,f4750,f1679,f1484]) ).
thf(f19473,plain,
( spl0_18
| spl0_1
| spl0_31
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f19449,f314,f321,f73,f204]) ).
thf(f19475,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f19468,f31]) ).
thf(f19477,plain,
( spl0_166
| spl0_69
| spl0_1
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f19475,f1236,f73,f966,f4276]) ).
thf(f19500,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f391,f10469]) ).
thf(f19509,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f44,f10469]) ).
thf(f19517,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f19509]) ).
thf(f19527,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f19500]) ).
thf(f19558,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_29 ),
inference(constrained_superposition,[],[f128,f17116]) ).
thf(f19565,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_8
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f19558]) ).
thf(f19566,plain,
( ~ spl0_28
| ~ spl0_8
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f19565,f314,f127,f310]) ).
thf(f19642,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_304 ),
inference(constrained_superposition,[],[f378,f11034]) ).
thf(f19645,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f19642]) ).
thf(f19647,plain,
( spl0_318
| spl0_317
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f19645,f11033,f11096,f11099]) ).
thf(f19656,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f391,f11100]) ).
thf(f19658,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f3756,f11100]) ).
thf(f19660,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f122,f11100]) ).
thf(f19661,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f69,f11100]) ).
thf(f19665,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f49,f11100]) ).
thf(f19667,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f33,f11100]) ).
thf(f19675,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f19661]) ).
thf(f19677,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f19658]) ).
thf(f19681,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f19665]) ).
thf(f19684,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f19656]) ).
thf(f19686,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f19660]) ).
thf(f19689,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f19667]) ).
thf(f19721,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_173
| ~ spl0_333 ),
inference(constrained_superposition,[],[f11767,f4618]) ).
thf(f19725,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_173
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f19721]) ).
thf(f19729,plain,
( $false
| ~ spl0_107
| ~ spl0_173
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f19725,f1868]) ).
thf(f19730,plain,
( ~ spl0_107
| ~ spl0_173
| ~ spl0_333 ),
inference(avatar_contradiction_clause,[],[f19729]) ).
thf(f19731,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_312 ),
inference(constrained_superposition,[],[f378,f11068]) ).
thf(f19734,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f19731]) ).
thf(f19779,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_175
| ~ spl0_209 ),
inference(constrained_superposition,[],[f4857,f4625]) ).
thf(f19783,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_175
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f19779]) ).
thf(f19786,plain,
( $false
| ~ spl0_175
| ~ spl0_209
| ~ spl0_304 ),
inference(forward_subsumption_resolution,[],[f19783,f11034]) ).
thf(f19787,plain,
( ~ spl0_175
| ~ spl0_209
| ~ spl0_304 ),
inference(avatar_contradiction_clause,[],[f19786]) ).
thf(f19794,plain,
( spl0_321
| spl0_31
| ~ spl0_29
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f19686,f11099,f314,f321,f11161]) ).
thf(f19795,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f18450,f31]) ).
thf(f19799,plain,
( spl0_31
| ~ spl0_9
| spl0_18
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f19517,f260,f204,f130,f321]) ).
thf(f19800,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f18454,f31]) ).
thf(f19803,plain,
( spl0_381
| ~ spl0_28
| spl0_33
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f19681,f11099,f328,f310,f17833]) ).
thf(f19813,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f19527,f31]) ).
thf(f19817,plain,
( spl0_1
| spl0_73
| spl0_62
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f19795,f1236,f904,f979,f73]) ).
thf(f19818,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f19800,f31]) ).
thf(f19823,plain,
( spl0_31
| spl0_1
| spl0_18
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f19813,f260,f204,f73,f321]) ).
thf(f19824,plain,
( spl0_166
| spl0_73
| spl0_1
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f19818,f1236,f73,f979,f4276]) ).
thf(f19878,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_60 ),
inference(constrained_superposition,[],[f899,f29]) ).
thf(f19880,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_60 ),
inference(trivial_inequality_removal,[],[f19878]) ).
thf(f19883,plain,
( spl0_93
| spl0_71
| spl0_60 ),
inference(avatar_split_clause,[],[f19880,f898,f973,f1255]) ).
thf(f19884,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f378,f974]) ).
thf(f19885,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f30,f974]) ).
thf(f19886,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f19884]) ).
thf(f19887,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f19885]) ).
thf(f19898,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_381 ),
inference(constrained_superposition,[],[f30,f17834]) ).
thf(f19899,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f19898]) ).
thf(f19900,plain,
( spl0_316
| spl0_302
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f19899,f17833,f10989,f11092]) ).
thf(f19907,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f322,f37]) ).
thf(f19912,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f19907]) ).
thf(f19942,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_175
| ~ spl0_207 ),
inference(constrained_superposition,[],[f4834,f4625]) ).
thf(f19951,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_175
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f19942]) ).
thf(f19952,plain,
( $false
| ~ spl0_175
| ~ spl0_207
| ~ spl0_308 ),
inference(forward_subsumption_resolution,[],[f19951,f11049]) ).
thf(f19953,plain,
( ~ spl0_175
| ~ spl0_207
| ~ spl0_308 ),
inference(avatar_contradiction_clause,[],[f19952]) ).
thf(f19956,plain,
( ~ spl0_29
| spl0_304
| spl0_322
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f19675,f11099,f11165,f11033,f314]) ).
thf(f19959,plain,
( spl0_15
| ~ spl0_6
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f19912,f321,f106,f194]) ).
thf(f19961,plain,
( spl0_96
| spl0_105
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f19886,f973,f1679,f1484]) ).
thf(f19962,plain,
( spl0_105
| spl0_96
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f19734,f11067,f1484,f1679]) ).
thf(f19964,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_18
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f19684,f1134]) ).
thf(f19967,plain,
( spl0_47
| spl0_104
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f19887,f973,f1664,f687]) ).
thf(f19969,plain,
( ~ spl0_218
| spl0_221
| spl0_180
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f18785,f4631,f4658,f5056,f5042]) ).
thf(f19971,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_18
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f19964,f31]) ).
thf(f19973,plain,
( spl0_322
| spl0_308
| spl0_18
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f19971,f11099,f204,f11048,f11165]) ).
thf(f20005,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_206
| ~ spl0_397 ),
inference(constrained_superposition,[],[f4812,f18406]) ).
thf(f20008,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_206
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f20005]) ).
thf(f20012,plain,
( spl0_227
| ~ spl0_76
| spl0_215
| ~ spl0_206
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f20008,f18405,f4811,f4964,f990,f5277]) ).
thf(f20139,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f391,f6903]) ).
thf(f20140,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f409,f6903]) ).
thf(f20144,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_218 ),
inference(constrained_superposition,[],[f49,f6903]) ).
thf(f20154,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( z = X0 ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f20140]) ).
thf(f20159,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f20144]) ).
thf(f20164,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f20139]) ).
thf(f20190,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f30,f4659]) ).
thf(f20192,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f20190]) ).
thf(f20193,plain,
( spl0_208
| spl0_209
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f20192,f4658,f4856,f4853]) ).
thf(f20241,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f1893,f57]) ).
thf(f20242,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_111 ),
inference(constrained_superposition,[],[f1893,f37]) ).
thf(f20244,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f20241]) ).
thf(f20250,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_111 ),
inference(trivial_inequality_removal,[],[f20242]) ).
thf(f20254,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f4857,f156]) ).
thf(f20258,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f20254]) ).
thf(f20283,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_206
| ~ spl0_335 ),
inference(constrained_superposition,[],[f4812,f12360]) ).
thf(f20286,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f20283]) ).
thf(f20290,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206
| ~ spl0_335 ),
inference(constrained_superposition,[],[f20286,f431]) ).
thf(f20293,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f20290]) ).
thf(f20304,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_206
| ~ spl0_335 ),
inference(constrained_superposition,[],[f49,f20293]) ).
thf(f20305,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_206
| ~ spl0_335 ),
inference(constrained_superposition,[],[f44,f20293]) ).
thf(f20325,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_206
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f20304]) ).
thf(f20330,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_206
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f20305]) ).
thf(f20339,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_69
| ~ spl0_206
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f20325,f2319]) ).
thf(f20341,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_73
| ~ spl0_206
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f20330,f6611]) ).
thf(f20347,plain,
( spl0_364
| ~ spl0_314
| spl0_69
| ~ spl0_206
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f20339,f12359,f4811,f966,f11076,f15606]) ).
thf(f20348,plain,
( ~ spl0_314
| spl0_350
| spl0_73
| ~ spl0_206
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f20341,f12359,f4811,f979,f13951,f11076]) ).
thf(f20358,plain,
( spl0_113
| ~ spl0_14
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f20258,f4856,f190,f1903]) ).
thf(f20364,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f19684,f31]) ).
thf(f20367,plain,
( spl0_36
| ~ spl0_9
| spl0_187
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f20154,f5042,f4725,f130,f489]) ).
thf(f20368,plain,
( spl0_198
| ~ spl0_23
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f20244,f1892,f260,f4765]) ).
thf(f20369,plain,
( spl0_236
| ~ spl0_184
| spl0_219
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f18789,f4631,f5045,f4672,f5570]) ).
thf(f20370,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_1
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[],[f20164,f1195]) ).
thf(f20373,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_4
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[],[f20159,f11989]) ).
thf(f20381,plain,
( spl0_18
| spl0_308
| spl0_322
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f20364,f11099,f11165,f11048,f204]) ).
thf(f20383,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| spl0_1
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[],[f20370,f31]) ).
thf(f20386,plain,
( spl0_222
| ~ spl0_196
| spl0_4
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f20373,f5042,f83,f4758,f5060]) ).
thf(f20390,plain,
( spl0_221
| spl0_187
| spl0_1
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f20383,f5042,f73,f4725,f5056]) ).
thf(f20396,plain,
( ( $true != $true )
| ~ spl0_35
| ~ spl0_384 ),
inference(constrained_superposition,[],[f352,f17848]) ).
thf(f20397,plain,
( ( $true != $true )
| ~ spl0_35
| ~ spl0_381 ),
inference(constrained_superposition,[],[f352,f17834]) ).
thf(f20399,plain,
( $false
| ~ spl0_35
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f20397]) ).
thf(f20400,plain,
( ~ spl0_35
| ~ spl0_381 ),
inference(avatar_contradiction_clause,[],[f20399]) ).
thf(f20401,plain,
( $false
| ~ spl0_35
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f20396]) ).
thf(f20402,plain,
( ~ spl0_35
| ~ spl0_384 ),
inference(avatar_contradiction_clause,[],[f20401]) ).
thf(f20404,plain,
( ~ spl0_109
| spl0_191
| spl0_108
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f18791,f4631,f1876,f4740,f1886]) ).
thf(f20425,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f49,f10469]) ).
thf(f20444,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f20425]) ).
thf(f20474,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_218 ),
inference(constrained_superposition,[],[f128,f6903]) ).
thf(f20477,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f20474]) ).
thf(f20483,plain,
( ~ spl0_196
| ~ spl0_8
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f20477,f5042,f127,f4758]) ).
thf(f20485,plain,
( spl0_15
| ~ spl0_9
| spl0_8
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f20444,f260,f127,f130,f194]) ).
thf(f20516,plain,
( ( $true != $true )
| ~ spl0_175
| ~ spl0_302 ),
inference(constrained_superposition,[],[f10990,f4625]) ).
thf(f20522,plain,
( $false
| ~ spl0_175
| ~ spl0_302 ),
inference(trivial_inequality_removal,[],[f20516]) ).
thf(f20523,plain,
( ~ spl0_175
| ~ spl0_302 ),
inference(avatar_contradiction_clause,[],[f20522]) ).
thf(f20528,plain,
( spl0_384
| ~ spl0_24
| ~ spl0_111 ),
inference(avatar_split_clause,[],[f20250,f1892,f264,f17847]) ).
thf(f20532,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_177
| ~ spl0_218 ),
inference(forward_subsumption_resolution,[],[f18780,f6903]) ).
thf(f20533,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_177 ),
inference(forward_subsumption_resolution,[],[f18776,f31]) ).
thf(f20542,plain,
( spl0_191
| spl0_107
| ~ spl0_177
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f20532,f5042,f4631,f1867,f4740]) ).
thf(f20543,plain,
( spl0_187
| spl0_191
| spl0_185
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f20533,f4631,f4676,f4740,f4725]) ).
thf(f20558,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f30,f191]) ).
thf(f20559,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f20558]) ).
thf(f20560,plain,
( spl0_47
| spl0_21
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f20559,f190,f219,f687]) ).
thf(f20574,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_268 ),
inference(constrained_superposition,[],[f7080,f29]) ).
thf(f20576,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_268 ),
inference(trivial_inequality_removal,[],[f20574]) ).
thf(f20579,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_69
| spl0_268 ),
inference(forward_subsumption_resolution,[],[f20576,f2319]) ).
thf(f20580,plain,
( $false
| spl0_69
| spl0_268 ),
inference(forward_subsumption_resolution,[],[f20579,f31]) ).
thf(f20581,plain,
( spl0_69
| spl0_268 ),
inference(avatar_contradiction_clause,[],[f20580]) ).
thf(f20597,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f391,f1880]) ).
thf(f20598,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f409,f1880]) ).
thf(f20619,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f20598]) ).
thf(f20628,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f20597]) ).
thf(f20630,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f391,f1485]) ).
thf(f20631,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f409,f1485]) ).
thf(f20638,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f49,f1485]) ).
thf(f20639,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f44,f1485]) ).
thf(f20645,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f4028,f1485]) ).
thf(f20646,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_96 ),
inference(constrained_superposition,[],[f4031,f1485]) ).
thf(f20648,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f20645]) ).
thf(f20649,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f20638]) ).
thf(f20654,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f20630]) ).
thf(f20658,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f20646]) ).
thf(f20660,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f20631]) ).
thf(f20663,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f20639]) ).
thf(f20831,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_205
| ~ spl0_296 ),
inference(constrained_superposition,[],[f4807,f10498]) ).
thf(f20839,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_205
| ~ spl0_296 ),
inference(trivial_inequality_removal,[],[f20831]) ).
thf(f20840,plain,
( $false
| ~ spl0_18
| ~ spl0_205
| ~ spl0_296 ),
inference(forward_subsumption_resolution,[],[f20839,f205]) ).
thf(f20841,plain,
( ~ spl0_18
| ~ spl0_205
| ~ spl0_296 ),
inference(avatar_contradiction_clause,[],[f20840]) ).
thf(f20853,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_207
| ~ spl0_329 ),
inference(constrained_superposition,[],[f4834,f11847]) ).
thf(f20863,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_207
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f20853]) ).
thf(f20867,plain,
( $false
| ~ spl0_18
| ~ spl0_207
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f20863,f205]) ).
thf(f20868,plain,
( ~ spl0_18
| ~ spl0_207
| ~ spl0_329 ),
inference(avatar_contradiction_clause,[],[f20867]) ).
thf(f20899,plain,
( $false
| ~ spl0_171
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f4611,f4854]) ).
thf(f20900,plain,
( ~ spl0_171
| ~ spl0_208 ),
inference(avatar_contradiction_clause,[],[f20899]) ).
thf(f20914,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_185
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f18104,f4677]) ).
thf(f20918,plain,
( spl0_166
| spl0_73
| spl0_185
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f20914,f4747,f4676,f979,f4276]) ).
thf(f20975,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_108 ),
inference(constrained_superposition,[],[f30,f1877]) ).
thf(f20978,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_108 ),
inference(trivial_inequality_removal,[],[f20975]) ).
thf(f20980,plain,
( spl0_186
| spl0_19
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f20978,f1876,f210,f4682]) ).
thf(f20992,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f391,f4673]) ).
thf(f20994,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f174,f4673]) ).
thf(f21000,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f49,f4673]) ).
thf(f21002,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f33,f4673]) ).
thf(f21007,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f4028,f4673]) ).
thf(f21008,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f4031,f4673]) ).
thf(f21009,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21008]) ).
thf(f21010,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f20994]) ).
thf(f21011,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f20992]) ).
thf(f21018,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21000]) ).
thf(f21022,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21007]) ).
thf(f21025,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21002]) ).
thf(f21026,plain,
( spl0_219
| spl0_81
| ~ spl0_109
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21010,f4672,f1886,f1009,f5045]) ).
thf(f21055,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f5057,f37]) ).
thf(f21062,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f21055]) ).
thf(f21063,plain,
( spl0_384
| ~ spl0_6
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f21062,f5056,f106,f17847]) ).
thf(f21066,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f378,f4611]) ).
thf(f21069,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f21066]) ).
thf(f21076,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_364 ),
inference(constrained_superposition,[],[f15607,f57]) ).
thf(f21082,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f21076]) ).
thf(f21086,plain,
( ~ spl0_9
| spl0_321
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f21082,f15606,f11161,f130]) ).
thf(f21090,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_186 ),
inference(constrained_superposition,[],[f4683,f490]) ).
thf(f21095,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_36
| ~ spl0_186 ),
inference(trivial_inequality_removal,[],[f21090]) ).
thf(f21097,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_36
| ~ spl0_186 ),
inference(forward_subsumption_resolution,[],[f21095,f31]) ).
thf(f21101,plain,
( ~ spl0_58
| spl0_18
| spl0_74
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f20660,f1484,f983,f204,f890]) ).
thf(f21115,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_186
| ~ spl0_379 ),
inference(constrained_superposition,[],[f4683,f17823]) ).
thf(f21118,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_186
| ~ spl0_379 ),
inference(trivial_inequality_removal,[],[f21115]) ).
thf(f21120,plain,
( $false
| ~ spl0_15
| ~ spl0_186
| ~ spl0_379 ),
inference(forward_subsumption_resolution,[],[f21118,f195]) ).
thf(f21121,plain,
( ~ spl0_15
| ~ spl0_186
| ~ spl0_379 ),
inference(avatar_contradiction_clause,[],[f21120]) ).
thf(f21122,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f20648,f31]) ).
thf(f21124,plain,
( spl0_69
| spl0_33
| ~ spl0_28
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f20649,f1484,f310,f328,f966]) ).
thf(f21129,plain,
( spl0_85
| ~ spl0_28
| spl0_73
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f20663,f1484,f979,f310,f1056]) ).
thf(f21130,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f21022,f31]) ).
thf(f21132,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_181
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f21011,f4663]) ).
thf(f21133,plain,
( $false
| ~ spl0_112
| ~ spl0_181 ),
inference(forward_subsumption_resolution,[],[f1897,f4663]) ).
thf(f21134,plain,
( ~ spl0_112
| ~ spl0_181 ),
inference(avatar_contradiction_clause,[],[f21133]) ).
thf(f21135,plain,
( ~ spl0_28
| spl0_43
| spl0_73
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f20619,f916,f979,f619,f310]) ).
thf(f21137,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f20658,f31]) ).
thf(f21138,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f20654,f31]) ).
thf(f21140,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f20628,f31]) ).
thf(f21141,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f21009,f31]) ).
thf(f21142,plain,
( spl0_210
| ~ spl0_11
| spl0_379
| ~ spl0_36
| ~ spl0_186 ),
inference(avatar_split_clause,[],[f21097,f4682,f489,f17822,f180,f4869]) ).
thf(f21147,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f21122,f31]) ).
thf(f21149,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f21130,f31]) ).
thf(f21151,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_181
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f21132,f31]) ).
thf(f21153,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f21137,f31]) ).
thf(f21154,plain,
( spl0_73
| spl0_85
| spl0_18
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f21138,f1484,f204,f1056,f979]) ).
thf(f21155,plain,
( spl0_85
| spl0_73
| spl0_18
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f21140,f916,f204,f979,f1056]) ).
thf(f21156,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_181
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f21141,f4663]) ).
thf(f21157,plain,
( spl0_18
| spl0_69
| spl0_166
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f21147,f1484,f4276,f966,f204]) ).
thf(f21160,plain,
( spl0_219
| spl0_73
| ~ spl0_181
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21151,f4672,f4662,f979,f5045]) ).
thf(f21161,plain,
( spl0_18
| spl0_73
| spl0_166
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f21153,f1484,f4276,f979,f204]) ).
thf(f21162,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_181
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f21156,f31]) ).
thf(f21164,plain,
( spl0_73
| spl0_166
| ~ spl0_181
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21162,f4672,f4662,f4276,f979]) ).
thf(f21165,plain,
( spl0_186
| spl0_113
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f21069,f4610,f1903,f4682]) ).
thf(f21223,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f33,f1904]) ).
thf(f21231,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f21223]) ).
thf(f21269,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_193 ),
inference(constrained_superposition,[],[f4748,f58]) ).
thf(f21270,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_193 ),
inference(constrained_superposition,[],[f4748,f38]) ).
thf(f21274,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_193 ),
inference(trivial_inequality_removal,[],[f21270]) ).
thf(f21275,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_193 ),
inference(trivial_inequality_removal,[],[f21269]) ).
thf(f21278,plain,
( spl0_227
| spl0_183
| spl0_193 ),
inference(avatar_split_clause,[],[f21274,f4747,f4669,f5277]) ).
thf(f21279,plain,
( spl0_93
| spl0_183
| spl0_193 ),
inference(avatar_split_clause,[],[f21275,f4747,f4669,f1255]) ).
thf(f21288,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f30,f5279]) ).
thf(f21290,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f21288]) ).
thf(f21293,plain,
( spl0_179
| spl0_53
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f21290,f4669,f835,f4655]) ).
thf(f21298,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_312 ),
inference(constrained_superposition,[],[f30,f11068]) ).
thf(f21299,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f21298]) ).
thf(f21301,plain,
( spl0_302
| spl0_352
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f21299,f11067,f14007,f10989]) ).
thf(f21321,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_171
| ~ spl0_206 ),
inference(constrained_superposition,[],[f4812,f4611]) ).
thf(f21325,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198
| ~ spl0_206 ),
inference(constrained_superposition,[],[f4812,f4766]) ).
thf(f21328,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206
| ~ spl0_384 ),
inference(constrained_superposition,[],[f4812,f17848]) ).
thf(f21329,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_206
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f21328]) ).
thf(f21331,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_171
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f21321]) ).
thf(f21337,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_198
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f21325]) ).
thf(f21338,plain,
( $false
| ~ spl0_69
| ~ spl0_206
| ~ spl0_384 ),
inference(forward_subsumption_resolution,[],[f21329,f967]) ).
thf(f21339,plain,
( ~ spl0_69
| ~ spl0_206
| ~ spl0_384 ),
inference(avatar_contradiction_clause,[],[f21338]) ).
thf(f21340,plain,
( $false
| ~ spl0_171
| ~ spl0_183
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[],[f21331,f5279]) ).
thf(f21341,plain,
( ~ spl0_171
| ~ spl0_183
| ~ spl0_206 ),
inference(avatar_contradiction_clause,[],[f21340]) ).
thf(f21342,plain,
( $false
| ~ spl0_76
| ~ spl0_198
| ~ spl0_206 ),
inference(forward_subsumption_resolution,[],[f21337,f991]) ).
thf(f21343,plain,
( ~ spl0_76
| ~ spl0_198
| ~ spl0_206 ),
inference(avatar_contradiction_clause,[],[f21342]) ).
thf(f21359,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_173 ),
inference(constrained_superposition,[],[f30,f4618]) ).
thf(f21360,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f21359]) ).
thf(f21362,plain,
( spl0_303
| spl0_302
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f21360,f4617,f10989,f10992]) ).
thf(f21369,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_175
| ~ spl0_179 ),
inference(constrained_superposition,[],[f4656,f4625]) ).
thf(f21371,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_179 ),
inference(constrained_superposition,[],[f4656,f490]) ).
thf(f21373,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f21369]) ).
thf(f21377,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f21371]) ).
thf(f21378,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_36
| ~ spl0_76
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f21377,f991]) ).
thf(f21379,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_36
| ~ spl0_76
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f21378,f31]) ).
thf(f21380,plain,
( spl0_210
| spl0_379
| ~ spl0_36
| ~ spl0_76
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f21379,f4655,f990,f489,f17822,f4869]) ).
thf(f21392,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_175
| ~ spl0_207 ),
inference(constrained_superposition,[],[f4834,f4625]) ).
thf(f21401,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_175
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f21392]) ).
thf(f21412,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(constrained_superposition,[],[f21373,f431]) ).
thf(f21414,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f21412]) ).
thf(f21417,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(constrained_superposition,[],[f391,f21414]) ).
thf(f21419,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(constrained_superposition,[],[f174,f21414]) ).
thf(f21420,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(constrained_superposition,[],[f122,f21414]) ).
thf(f21425,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(constrained_superposition,[],[f49,f21414]) ).
thf(f21427,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(constrained_superposition,[],[f33,f21414]) ).
thf(f21437,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f21419]) ).
thf(f21444,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f21420]) ).
thf(f21446,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f21425]) ).
thf(f21447,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f21427]) ).
thf(f21450,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f21417]) ).
thf(f21454,plain,
( spl0_350
| spl0_81
| ~ spl0_326
| ~ spl0_175
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f21437,f4655,f4624,f11227,f1009,f13951]) ).
thf(f21459,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_69
| ~ spl0_175
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f21446,f2319]) ).
thf(f21461,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f21450,f31]) ).
thf(f21467,plain,
( spl0_364
| ~ spl0_314
| spl0_69
| ~ spl0_175
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f21459,f4655,f4624,f966,f11076,f15606]) ).
thf(f21468,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_175
| ~ spl0_179
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[],[f21461,f21401]) ).
thf(f21471,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_73
| ~ spl0_175
| ~ spl0_179
| ~ spl0_207 ),
inference(forward_subsumption_resolution,[],[f21468,f6611]) ).
thf(f21474,plain,
( spl0_350
| spl0_73
| ~ spl0_175
| ~ spl0_179
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f21471,f4833,f4655,f4624,f979,f13951]) ).
thf(f21478,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| spl0_73
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f21011,f6611]) ).
thf(f21480,plain,
( spl0_324
| ~ spl0_325
| spl0_76
| ~ spl0_175
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f21444,f4655,f4624,f990,f11222,f11219]) ).
thf(f21483,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| spl0_69
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f21149,f2319]) ).
thf(f21484,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| spl0_73
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f21141,f6611]) ).
thf(f21485,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_69
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f21018,f2319]) ).
thf(f21486,plain,
( spl0_85
| spl0_312
| ~ spl0_96
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f19677,f11099,f1484,f11067,f1056]) ).
thf(f21491,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| spl0_73
| ~ spl0_175
| ~ spl0_179 ),
inference(forward_subsumption_resolution,[],[f21461,f6611]) ).
thf(f21492,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| spl0_73
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f21478,f31]) ).
thf(f21494,plain,
( spl0_166
| spl0_187
| spl0_69
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21483,f4672,f966,f4725,f4276]) ).
thf(f21495,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| spl0_73
| ~ spl0_184 ),
inference(forward_subsumption_resolution,[],[f21484,f31]) ).
thf(f21496,plain,
( ~ spl0_196
| spl0_222
| spl0_69
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21485,f4672,f966,f5060,f4758]) ).
thf(f21497,plain,
( spl0_308
| spl0_350
| spl0_73
| ~ spl0_175
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f21491,f4655,f4624,f979,f13951,f11048]) ).
thf(f21498,plain,
( spl0_219
| spl0_187
| spl0_73
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21492,f4672,f979,f4725,f5045]) ).
thf(f21500,plain,
( spl0_187
| spl0_166
| spl0_73
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f21495,f4672,f979,f4276,f4725]) ).
thf(f21502,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_41
| spl0_329 ),
inference(constrained_superposition,[],[f11476,f611]) ).
thf(f21506,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_41
| spl0_329 ),
inference(trivial_inequality_removal,[],[f21502]) ).
thf(f21508,plain,
( spl0_214
| ~ spl0_41
| spl0_329 ),
inference(avatar_split_clause,[],[f21506,f11475,f610,f4959]) ).
thf(f21524,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z = X0 )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f409,f10469]) ).
thf(f21529,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f46,f10469]) ).
thf(f21537,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( z
= ( s @ z ) ) )
| ~ spl0_23 ),
inference(constrained_superposition,[],[f4028,f10469]) ).
thf(f21541,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f21537]) ).
thf(f21542,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f21524]) ).
thf(f21552,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f21529]) ).
thf(f21560,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_91 ),
inference(constrained_superposition,[],[f409,f10490]) ).
thf(f21561,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_91 ),
inference(constrained_superposition,[],[f174,f10490]) ).
thf(f21567,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_91 ),
inference(constrained_superposition,[],[f49,f10490]) ).
thf(f21568,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_91 ),
inference(constrained_superposition,[],[f44,f10490]) ).
thf(f21585,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f21567]) ).
thf(f21588,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f21568]) ).
thf(f21589,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f21560]) ).
thf(f21593,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_91 ),
inference(trivial_inequality_removal,[],[f21561]) ).
thf(f21599,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| spl0_69
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f21585,f2319]) ).
thf(f21600,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| spl0_73
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f21588,f6611]) ).
thf(f21601,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_1
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f21589,f1195]) ).
thf(f21604,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_23
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f21593,f10469]) ).
thf(f21608,plain,
( spl0_8
| ~ spl0_9
| spl0_69
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f21599,f1236,f966,f130,f127]) ).
thf(f21609,plain,
( spl0_62
| ~ spl0_9
| spl0_73
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f21600,f1236,f979,f130,f904]) ).
thf(f21610,plain,
( spl0_74
| ~ spl0_58
| spl0_1
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f21601,f1236,f73,f890,f983]) ).
thf(f21612,plain,
( spl0_81
| spl0_62
| ~ spl0_23
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f21604,f1236,f260,f904,f1009]) ).
thf(f21618,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f378,f4726]) ).
thf(f21619,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true ) )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f30,f4726]) ).
thf(f21620,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f21619]) ).
thf(f21621,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f21618]) ).
thf(f21622,plain,
( spl0_35
| spl0_205
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f21620,f4725,f4806,f351]) ).
thf(f21623,plain,
( spl0_110
| spl0_204
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f21621,f4725,f4802,f1889]) ).
thf(f21628,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f128,f29]) ).
thf(f21629,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true != $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f128,f38]) ).
thf(f21632,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f21629]) ).
thf(f21634,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f21628]) ).
thf(f21732,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f322,f38]) ).
thf(f21738,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f21732]) ).
thf(f21780,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_205 ),
inference(constrained_superposition,[],[f4807,f156]) ).
thf(f21783,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_205 ),
inference(trivial_inequality_removal,[],[f21780]) ).
thf(f21793,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_105
| ~ spl0_183 ),
inference(constrained_superposition,[],[f1680,f5279]) ).
thf(f21798,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f21793]) ).
thf(f21805,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f378,f4635]) ).
thf(f21807,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f30,f4635]) ).
thf(f21808,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f21805]) ).
thf(f21810,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f21807]) ).
thf(f21811,plain,
( spl0_208
| spl0_182
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f21810,f4634,f4665,f4853]) ).
thf(f21825,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f11220,f37]) ).
thf(f21832,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f21825]) ).
thf(f21834,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f4131,f56]) ).
thf(f21839,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f21834]) ).
thf(f21841,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_182
| ~ spl0_236 ),
inference(constrained_superposition,[],[f4666,f5571]) ).
thf(f21842,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_175
| ~ spl0_182 ),
inference(constrained_superposition,[],[f4666,f4625]) ).
thf(f21844,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_182 ),
inference(constrained_superposition,[],[f4666,f156]) ).
thf(f21846,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f21844]) ).
thf(f21847,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_175
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f21842]) ).
thf(f21850,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_182
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f21841]) ).
thf(f21871,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_303 ),
inference(constrained_superposition,[],[f10993,f156]) ).
thf(f21874,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f21871]) ).
thf(f21907,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f10495,f57]) ).
thf(f21916,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f21907]) ).
thf(f21924,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f21231,f57]) ).
thf(f21934,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f21924]) ).
thf(f21941,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_318 ),
inference(constrained_superposition,[],[f19689,f57]) ).
thf(f21949,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f21941]) ).
thf(f21954,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_173 ),
inference(constrained_superposition,[],[f833,f4618]) ).
thf(f21957,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f833,f156]) ).
thf(f21964,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f21957]) ).
thf(f21966,plain,
( ( $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_52
| ~ spl0_173 ),
inference(trivial_inequality_removal,[],[f21954]) ).
thf(f21975,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_110
| ~ spl0_184 ),
inference(constrained_superposition,[],[f21025,f1890]) ).
thf(f21980,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_110
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f21975]) ).
thf(f22026,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(constrained_superposition,[],[f21447,f37]) ).
thf(f22031,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_175
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f22026]) ).
thf(f22035,plain,
( ~ spl0_268
| spl0_364
| spl0_381
| ~ spl0_175
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f22031,f4655,f4624,f17833,f15606,f7079]) ).
thf(f22036,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_303
| ~ spl0_381 ),
inference(constrained_superposition,[],[f10993,f17834]) ).
thf(f22038,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_381 ),
inference(constrained_superposition,[],[f833,f17834]) ).
thf(f22040,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f22038]) ).
thf(f22043,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_303
| ~ spl0_381 ),
inference(trivial_inequality_removal,[],[f22036]) ).
thf(f22047,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f21634,f29]) ).
thf(f22050,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f22047]) ).
thf(f22051,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f30,f22050]) ).
thf(f22054,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ X0 ) )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f22051]) ).
thf(f22626,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f21632,f36]) ).
thf(f22629,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f22626]) ).
thf(f22632,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f378,f22629]) ).
thf(f22635,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f22632]) ).
thf(f22638,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f22635,f378]) ).
thf(f22640,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f22638,f31]) ).
thf(f22649,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_8
| ~ spl0_178 ),
inference(constrained_superposition,[],[f22640,f4635]) ).
thf(f22658,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f22649]) ).
thf(f22697,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_37 ),
inference(constrained_superposition,[],[f30,f493]) ).
thf(f22699,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( r @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ z )
= $true ) )
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f22697]) ).
thf(f22975,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_297 ),
inference(constrained_superposition,[],[f10564,f38]) ).
thf(f22979,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 ) )
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f22975]) ).
thf(f22997,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true != $true )
| spl0_69
| ~ spl0_121 ),
inference(constrained_superposition,[],[f2319,f2246]) ).
thf(f23012,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| spl0_69
| ~ spl0_121 ),
inference(trivial_inequality_removal,[],[f22997]) ).
thf(f23021,plain,
( $false
| spl0_69
| spl0_73
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f23012,f6611]) ).
thf(f23022,plain,
( spl0_69
| spl0_73
| ~ spl0_121 ),
inference(avatar_contradiction_clause,[],[f23021]) ).
thf(f23048,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_31 ),
inference(constrained_superposition,[],[f21738,f38]) ).
thf(f23053,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ ( s @ z ) )
= $true )
| ( z = X0 ) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f23048]) ).
thf(f23057,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( $true != $true ) )
| ~ spl0_14
| ~ spl0_46 ),
inference(constrained_superposition,[],[f685,f191]) ).
thf(f23064,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_14
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f23057]) ).
thf(f23084,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_46
| ~ spl0_55 ),
inference(constrained_superposition,[],[f23064,f3482]) ).
thf(f23088,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_46
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f23084]) ).
thf(f23090,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_46
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f23088,f31]) ).
thf(f23091,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_14
| ~ spl0_46
| ~ spl0_55
| spl0_73 ),
inference(forward_subsumption_resolution,[],[f23090,f6611]) ).
thf(f23092,plain,
( spl0_93
| ~ spl0_14
| ~ spl0_46
| ~ spl0_55
| spl0_73 ),
inference(avatar_split_clause,[],[f23091,f979,f846,f684,f190,f1255]) ).
thf(f23127,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z )
= $true )
| ~ spl0_47
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f2250,f688]) ).
thf(f23128,plain,
( ( $true != $true )
| ~ spl0_47
| ~ spl0_122
| spl0_185 ),
inference(constrained_superposition,[],[f4677,f23127]) ).
thf(f23129,plain,
( ( $true != $true )
| ~ spl0_47
| spl0_73
| ~ spl0_122 ),
inference(constrained_superposition,[],[f6611,f23127]) ).
thf(f23132,plain,
( $false
| ~ spl0_47
| spl0_73
| ~ spl0_122 ),
inference(trivial_inequality_removal,[],[f23129]) ).
thf(f23133,plain,
( ~ spl0_47
| spl0_73
| ~ spl0_122 ),
inference(avatar_contradiction_clause,[],[f23132]) ).
thf(f23136,plain,
( $false
| ~ spl0_47
| ~ spl0_122
| spl0_185 ),
inference(trivial_inequality_removal,[],[f23128]) ).
thf(f23137,plain,
( ~ spl0_47
| ~ spl0_122
| spl0_185 ),
inference(avatar_contradiction_clause,[],[f23136]) ).
thf(f23142,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_31
| ~ spl0_105
| ~ spl0_183 ),
inference(constrained_superposition,[],[f21798,f23053]) ).
thf(f23148,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_31
| ~ spl0_105
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f23142]) ).
thf(f23153,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_31
| ~ spl0_105
| ~ spl0_183 ),
inference(forward_subsumption_resolution,[],[f23148,f31]) ).
thf(f23159,plain,
( spl0_107
| spl0_215
| ~ spl0_31
| ~ spl0_105
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f23153,f4669,f1679,f321,f4964,f1867]) ).
thf(f23248,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_215 ),
inference(constrained_superposition,[],[f156,f4965]) ).
thf(f23394,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[],[f23248,f27]) ).
thf(f23424,plain,
( $false
| ~ spl0_215 ),
inference(forward_subsumption_resolution,[],[f23394,f32]) ).
thf(f23425,plain,
~ spl0_215,
inference(avatar_contradiction_clause,[],[f23424]) ).
thf(f23431,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_47
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f21934,f688]) ).
thf(f23432,plain,
( $false
| ~ spl0_47
| ~ spl0_321 ),
inference(forward_subsumption_resolution,[],[f11162,f688]) ).
thf(f23433,plain,
( ~ spl0_47
| ~ spl0_321 ),
inference(avatar_contradiction_clause,[],[f23432]) ).
thf(f23434,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_23
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f21949,f10469]) ).
thf(f23435,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_47
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f21916,f688]) ).
thf(f23436,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_23
| ~ spl0_47
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f23431,f10469]) ).
thf(f23437,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_23
| ~ spl0_47
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f23434,f688]) ).
thf(f23438,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_23
| ~ spl0_47
| ~ spl0_295 ),
inference(forward_subsumption_resolution,[],[f23435,f10469]) ).
thf(f23439,plain,
( spl0_31
| ~ spl0_23
| ~ spl0_47
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f23436,f1903,f687,f260,f321]) ).
thf(f23440,plain,
( spl0_31
| ~ spl0_23
| ~ spl0_47
| ~ spl0_318 ),
inference(avatar_split_clause,[],[f23437,f11099,f687,f260,f321]) ).
thf(f23441,plain,
( spl0_31
| ~ spl0_23
| ~ spl0_47
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f23438,f10494,f687,f260,f321]) ).
thf(f23442,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_107
| ~ spl0_356 ),
inference(constrained_superposition,[],[f14255,f1868]) ).
thf(f23445,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_107
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f23442]) ).
thf(f23448,plain,
( $false
| ~ spl0_107
| spl0_193
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f23445,f4748]) ).
thf(f23449,plain,
( ~ spl0_107
| spl0_193
| ~ spl0_356 ),
inference(avatar_contradiction_clause,[],[f23448]) ).
thf(f23513,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_298
| spl0_329 ),
inference(constrained_superposition,[],[f11476,f10567]) ).
thf(f23528,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_298
| spl0_329 ),
inference(trivial_inequality_removal,[],[f23513]) ).
thf(f23537,plain,
( spl0_214
| spl0_210
| ~ spl0_298
| spl0_329 ),
inference(avatar_split_clause,[],[f23528,f11475,f10566,f4869,f4959]) ).
thf(f23598,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_251
| spl0_329 ),
inference(constrained_superposition,[],[f11476,f6268]) ).
thf(f23612,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_251
| spl0_329 ),
inference(trivial_inequality_removal,[],[f23598]) ).
thf(f23622,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_251
| ~ spl0_303
| spl0_329
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f23612,f22043]) ).
thf(f23624,plain,
( spl0_214
| ~ spl0_251
| ~ spl0_303
| spl0_329
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f23622,f17833,f11475,f10992,f6267,f4959]) ).
thf(f23650,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_299 ),
inference(constrained_superposition,[],[f10629,f29]) ).
thf(f23654,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f23650]) ).
thf(f23662,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_116
| ~ spl0_184 ),
inference(constrained_superposition,[],[f1959,f4673]) ).
thf(f23665,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_116 ),
inference(constrained_superposition,[],[f1959,f57]) ).
thf(f23670,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_116
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f23662]) ).
thf(f23675,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_116 ),
inference(trivial_inequality_removal,[],[f23665]) ).
thf(f23677,plain,
( spl0_227
| spl0_112
| ~ spl0_116
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f23670,f4672,f1958,f1896,f5277]) ).
thf(f23679,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_47
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f23675,f688]) ).
thf(f23681,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_47
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f23679,f688]) ).
thf(f23682,plain,
( spl0_26
| ~ spl0_47
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f23681,f1958,f687,f288]) ).
thf(f23887,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_265
| spl0_329 ),
inference(constrained_superposition,[],[f11476,f6978]) ).
thf(f23891,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_179
| ~ spl0_265 ),
inference(constrained_superposition,[],[f4656,f6978]) ).
thf(f23898,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_265
| spl0_329 ),
inference(trivial_inequality_removal,[],[f23887]) ).
thf(f23899,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_179
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f23891]) ).
thf(f23909,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_265
| spl0_329 ),
inference(forward_subsumption_resolution,[],[f23898,f31]) ).
thf(f23910,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_55
| ~ spl0_179
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f23899,f3482]) ).
thf(f23912,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| spl0_185
| ~ spl0_265
| spl0_329 ),
inference(forward_subsumption_resolution,[],[f23909,f4677]) ).
thf(f23913,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_55
| ~ spl0_179
| ~ spl0_265
| ~ spl0_303
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f23910,f22043]) ).
thf(f23915,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_185
| ~ spl0_265
| ~ spl0_303
| spl0_329
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f23912,f22043]) ).
thf(f23916,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_55
| ~ spl0_179
| ~ spl0_265
| ~ spl0_303
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f23913,f31]) ).
thf(f23917,plain,
( spl0_214
| spl0_185
| ~ spl0_265
| ~ spl0_303
| spl0_329
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f23915,f17833,f11475,f10992,f6977,f4676,f4959]) ).
thf(f23918,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_55
| ~ spl0_179
| spl0_185
| ~ spl0_265
| ~ spl0_303
| ~ spl0_381 ),
inference(forward_subsumption_resolution,[],[f23916,f4677]) ).
thf(f23919,plain,
( spl0_214
| ~ spl0_55
| ~ spl0_179
| spl0_185
| ~ spl0_265
| ~ spl0_303
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f23918,f17833,f10992,f6977,f4676,f4655,f846,f4959]) ).
thf(f23952,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_47
| ~ spl0_389 ),
inference(forward_subsumption_resolution,[],[f17935,f688]) ).
thf(f23954,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_47
| ~ spl0_113
| ~ spl0_389 ),
inference(constrained_superposition,[],[f23952,f1904]) ).
thf(f23964,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_47
| ~ spl0_113
| ~ spl0_389 ),
inference(trivial_inequality_removal,[],[f23954]) ).
thf(f23970,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_47
| ~ spl0_113
| ~ spl0_389 ),
inference(forward_subsumption_resolution,[],[f23964,f31]) ).
thf(f23972,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_47
| ~ spl0_113
| spl0_185
| ~ spl0_389 ),
inference(forward_subsumption_resolution,[],[f23970,f4677]) ).
thf(f23973,plain,
( spl0_210
| ~ spl0_47
| ~ spl0_113
| spl0_185
| ~ spl0_389 ),
inference(avatar_split_clause,[],[f23972,f17934,f4676,f1903,f687,f4869]) ).
thf(f23991,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ z ) )
| ~ spl0_47
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f1240,f688]) ).
thf(f23992,plain,
( spl0_89
| ~ spl0_47
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f23991,f1239,f687,f1190]) ).
thf(f23997,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_368 ),
inference(constrained_superposition,[],[f15917,f29]) ).
thf(f23999,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f23997]) ).
thf(f24004,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_47
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f23999,f688]) ).
thf(f24006,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_47
| ~ spl0_368 ),
inference(constrained_superposition,[],[f24004,f29]) ).
thf(f24009,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ X0 @ z )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_47
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f24006]) ).
thf(f24012,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_47
| ~ spl0_105
| ~ spl0_183
| ~ spl0_368 ),
inference(constrained_superposition,[],[f21798,f24009]) ).
thf(f24018,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_47
| ~ spl0_105
| ~ spl0_183
| ~ spl0_368 ),
inference(trivial_inequality_removal,[],[f24012]) ).
thf(f24024,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_47
| ~ spl0_105
| ~ spl0_183
| spl0_185
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f24018,f4677]) ).
thf(f24025,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_47
| ~ spl0_105
| ~ spl0_183
| spl0_185
| ~ spl0_368 ),
inference(forward_subsumption_resolution,[],[f24024,f31]) ).
thf(f24026,plain,
( spl0_214
| spl0_210
| ~ spl0_47
| ~ spl0_105
| ~ spl0_183
| spl0_185
| ~ spl0_368 ),
inference(avatar_split_clause,[],[f24025,f15916,f4676,f4669,f1679,f687,f4869,f4959]) ).
thf(f24113,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_232
| ~ spl0_299 ),
inference(constrained_superposition,[],[f5439,f23654]) ).
thf(f24117,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_232
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f24113]) ).
thf(f24152,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_197
| spl0_232 ),
inference(constrained_superposition,[],[f5439,f4762]) ).
thf(f24161,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| ~ spl0_197 ),
inference(constrained_superposition,[],[f1680,f4762]) ).
thf(f24168,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f24161]) ).
thf(f24170,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_197
| spl0_232 ),
inference(trivial_inequality_removal,[],[f24152]) ).
thf(f24179,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_69
| ~ spl0_105
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f24168,f2319]) ).
thf(f24180,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_69
| ~ spl0_197
| spl0_232 ),
inference(forward_subsumption_resolution,[],[f24170,f2319]) ).
thf(f24182,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_69
| ~ spl0_105
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f24179,f31]) ).
thf(f24183,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_69
| ~ spl0_197
| spl0_232 ),
inference(forward_subsumption_resolution,[],[f24180,f31]) ).
thf(f24187,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_112 ),
inference(avatar_component_clause,[],[f1896]) ).
thf(f24189,plain,
( spl0_230
| ~ spl0_112
| spl0_69
| ~ spl0_105
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f24182,f4761,f1679,f966,f1896,f5430]) ).
thf(f24190,plain,
( spl0_230
| spl0_69
| ~ spl0_197
| spl0_232 ),
inference(avatar_split_clause,[],[f24183,f5438,f4761,f966,f5430]) ).
thf(f24651,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_372 ),
inference(avatar_component_clause,[],[f16490]) ).
thf(f27406,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_228 ),
inference(avatar_component_clause,[],[f5283]) ).
thf(f27424,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_228 ),
inference(extensionality_resolution,[],[f38,f27406]) ).
thf(f27425,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_228 ),
inference(extensionality_resolution,[],[f38,f27406]) ).
thf(f27435,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_175
| ~ spl0_182
| spl0_228 ),
inference(forward_subsumption_resolution,[],[f27424,f21847]) ).
thf(f27444,definition,
( spl0_575
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_575])],[avatar_definition]) ).
thf(f27445,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_575 ),
inference(avatar_component_clause,[],[f27444]) ).
thf(f27447,definition,
( spl0_576
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_576])],[avatar_definition]) ).
thf(f27448,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_576 ),
inference(avatar_component_clause,[],[f27447]) ).
thf(f27449,plain,
( spl0_575
| spl0_576
| spl0_228 ),
inference(avatar_split_clause,[],[f27425,f5283,f27447,f27444]) ).
thf(f27468,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_175
| ~ spl0_182
| spl0_228
| ~ spl0_295 ),
inference(constrained_superposition,[],[f10495,f27435]) ).
thf(f27471,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110
| ~ spl0_175
| ~ spl0_182
| ~ spl0_184
| spl0_228 ),
inference(constrained_superposition,[],[f21980,f27435]) ).
thf(f27473,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_175
| ~ spl0_182
| spl0_228 ),
inference(constrained_superposition,[],[f3756,f27435]) ).
thf(f27490,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_175
| ~ spl0_182
| spl0_228 ),
inference(trivial_inequality_removal,[],[f27473]) ).
thf(f27497,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110
| ~ spl0_175
| ~ spl0_182
| ~ spl0_184
| spl0_228 ),
inference(trivial_inequality_removal,[],[f27471]) ).
thf(f27498,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_175
| ~ spl0_182
| spl0_228
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f27468]) ).
thf(f27514,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_175
| ~ spl0_179
| ~ spl0_182
| spl0_228 ),
inference(forward_subsumption_resolution,[],[f27490,f21414]) ).
thf(f27523,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110
| ~ spl0_175
| ~ spl0_182
| ~ spl0_184
| spl0_228
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f27497,f11100]) ).
thf(f27524,plain,
( ~ spl0_326
| spl0_322
| ~ spl0_175
| ~ spl0_182
| spl0_228
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f27498,f10494,f5283,f4665,f4624,f11165,f11227]) ).
thf(f27527,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_175
| ~ spl0_179
| ~ spl0_182
| spl0_228
| ~ spl0_236 ),
inference(forward_subsumption_resolution,[],[f27514,f21850]) ).
thf(f27529,plain,
( $false
| ~ spl0_110
| ~ spl0_175
| ~ spl0_179
| ~ spl0_182
| ~ spl0_184
| spl0_228
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f27523,f21414]) ).
thf(f27530,plain,
( ~ spl0_110
| ~ spl0_175
| ~ spl0_179
| ~ spl0_182
| ~ spl0_184
| spl0_228
| ~ spl0_318 ),
inference(avatar_contradiction_clause,[],[f27529]) ).
thf(f27531,plain,
( spl0_350
| ~ spl0_175
| ~ spl0_179
| ~ spl0_182
| spl0_228
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f27527,f5570,f5283,f4665,f4655,f4624,f13951]) ).
thf(f27532,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f14250]) ).
thf(f27536,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_342 ),
inference(avatar_component_clause,[],[f12721]) ).
thf(f27544,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_125
| ~ spl0_310 ),
inference(constrained_superposition,[],[f2316,f11056]) ).
thf(f27549,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_20
| ~ spl0_310 ),
inference(constrained_superposition,[],[f214,f11056]) ).
thf(f27551,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_125
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f27544]) ).
thf(f27554,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_20
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f27549]) ).
thf(f27558,plain,
( spl0_355
| ~ spl0_125
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f27551,f11055,f2315,f14250]) ).
thf(f27560,plain,
( $false
| ~ spl0_20
| ~ spl0_308
| ~ spl0_310 ),
inference(forward_subsumption_resolution,[],[f27554,f11049]) ).
thf(f27561,plain,
( ~ spl0_20
| ~ spl0_308
| ~ spl0_310 ),
inference(avatar_contradiction_clause,[],[f27560]) ).
thf(f27568,plain,
( spl0_355
| ~ spl0_69
| ~ spl0_52
| ~ spl0_381 ),
inference(avatar_split_clause,[],[f22040,f17833,f832,f966,f14250]) ).
thf(f27588,plain,
( ~ spl0_183
| spl0_355
| ~ spl0_52
| ~ spl0_173 ),
inference(avatar_split_clause,[],[f21966,f4617,f832,f14250,f4669]) ).
thf(f27596,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_108 ),
inference(avatar_component_clause,[],[f1876]) ).
thf(f27602,plain,
( spl0_18
| spl0_368
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f21552,f260,f15916,f204]) ).
thf(f27603,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_194 ),
inference(avatar_component_clause,[],[f4750]) ).
thf(f27610,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| spl0_1
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f21541,f1195]) ).
thf(f27615,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( ( r @ z @ X0 )
= $true ) )
| spl0_1
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f21542,f1195]) ).
thf(f27638,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| spl0_1
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f27610,f31]) ).
thf(f27639,plain,
( ~ spl0_28
| spl0_43
| spl0_1
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f27615,f260,f73,f619,f310]) ).
thf(f27650,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| spl0_1
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f27638,f31]) ).
thf(f27654,plain,
( spl0_251
| spl0_15
| spl0_1
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f27650,f260,f73,f194,f6267]) ).
thf(f27663,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| spl0_18 ),
inference(constrained_superposition,[],[f1134,f4367]) ).
thf(f27665,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
= $true )
| ( ( r @ z @ X0 )
= $true )
| ( ( r @ X0 @ z )
= $true ) )
| spl0_18 ),
inference(trivial_inequality_removal,[],[f27663]) ).
thf(f27711,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f30,f11847]) ).
thf(f27713,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f27711]) ).
thf(f27717,plain,
( spl0_186
| spl0_208
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f27713,f11475,f4853,f4682]) ).
thf(f27727,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_108
| ~ spl0_163 ),
inference(constrained_superposition,[],[f27596,f21839]) ).
thf(f27730,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_108
| ~ spl0_297 ),
inference(constrained_superposition,[],[f27596,f22979]) ).
thf(f27738,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_108
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f27727]) ).
thf(f27740,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_108
| ~ spl0_297 ),
inference(trivial_inequality_removal,[],[f27730]) ).
thf(f27752,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_183
| ~ spl0_299 ),
inference(constrained_superposition,[],[f4670,f23654]) ).
thf(f27756,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_183
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f27752]) ).
thf(f27761,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f391,f5440]) ).
thf(f27762,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f409,f5440]) ).
thf(f27765,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f174,f5440]) ).
thf(f27766,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f122,f5440]) ).
thf(f27771,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f49,f5440]) ).
thf(f27772,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f44,f5440]) ).
thf(f27778,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f4028,f5440]) ).
thf(f27779,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_193 ),
inference(constrained_superposition,[],[f4031,f5440]) ).
thf(f27782,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f27779]) ).
thf(f27783,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f27771]) ).
thf(f27786,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( z = X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f27762]) ).
thf(f27787,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f27761]) ).
thf(f27788,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f27766]) ).
thf(f27789,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f27778]) ).
thf(f27791,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f27765]) ).
thf(f27796,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_193 ),
inference(trivial_inequality_removal,[],[f27772]) ).
thf(f27813,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f174,f27532]) ).
thf(f27835,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f27813]) ).
thf(f28159,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_318
| ~ spl0_575 ),
inference(constrained_superposition,[],[f19689,f27445]) ).
thf(f28181,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_318
| ~ spl0_575 ),
inference(trivial_inequality_removal,[],[f28159]) ).
thf(f28197,plain,
( ~ spl0_109
| spl0_111
| ~ spl0_318
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f28181,f27444,f11099,f1892,f1886]) ).
thf(f28205,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_303
| ~ spl0_576 ),
inference(constrained_superposition,[],[f10993,f27448]) ).
thf(f28206,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_316
| ~ spl0_576 ),
inference(constrained_superposition,[],[f11093,f27448]) ).
thf(f28209,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_576 ),
inference(constrained_superposition,[],[f30,f27448]) ).
thf(f28212,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_316
| ~ spl0_576 ),
inference(trivial_inequality_removal,[],[f28206]) ).
thf(f28213,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_576 ),
inference(trivial_inequality_removal,[],[f28209]) ).
thf(f28214,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_303
| ~ spl0_576 ),
inference(trivial_inequality_removal,[],[f28205]) ).
thf(f28216,plain,
( $false
| ~ spl0_187
| ~ spl0_316
| ~ spl0_576 ),
inference(forward_subsumption_resolution,[],[f28212,f4726]) ).
thf(f28217,plain,
( ~ spl0_187
| ~ spl0_316
| ~ spl0_576 ),
inference(avatar_contradiction_clause,[],[f28216]) ).
thf(f28218,plain,
( spl0_302
| spl0_337
| ~ spl0_576 ),
inference(avatar_split_clause,[],[f28213,f27447,f12387,f10989]) ).
thf(f28219,plain,
( $false
| ~ spl0_178
| ~ spl0_303
| ~ spl0_576 ),
inference(forward_subsumption_resolution,[],[f28214,f4635]) ).
thf(f28220,plain,
( ~ spl0_178
| ~ spl0_303
| ~ spl0_576 ),
inference(avatar_contradiction_clause,[],[f28219]) ).
thf(f28228,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_183
| spl0_228
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f27756,f27406]) ).
thf(f28231,plain,
( spl0_113
| ~ spl0_112
| ~ spl0_8
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f22658,f4634,f127,f1896,f1903]) ).
thf(f28232,plain,
( ~ spl0_296
| spl0_113
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f21846,f4665,f1903,f10497]) ).
thf(f28233,plain,
( ~ spl0_55
| spl0_54
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f21964,f832,f843,f846]) ).
thf(f28236,plain,
( ~ spl0_114
| spl0_192
| spl0_81
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f27791,f4747,f1009,f4744,f1906]) ).
thf(f28239,plain,
( spl0_230
| spl0_115
| spl0_215
| spl0_232
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f24117,f10628,f5438,f4964,f1920,f5430]) ).
thf(f28240,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_108
| ~ spl0_297 ),
inference(forward_subsumption_resolution,[],[f27740,f31]) ).
thf(f28242,plain,
( spl0_47
| spl0_46
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f22054,f127,f684,f687]) ).
thf(f28243,plain,
( spl0_381
| ~ spl0_6
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f21832,f11219,f106,f17833]) ).
thf(f28248,plain,
( spl0_47
| spl0_48
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f22699,f492,f717,f687]) ).
thf(f28254,plain,
( ~ spl0_199
| spl0_76
| spl0_200
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f27788,f4747,f4771,f990,f4768]) ).
thf(f28255,plain,
( spl0_107
| spl0_108
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f27738,f4130,f1876,f1867]) ).
thf(f28256,plain,
( spl0_318
| ~ spl0_329
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f21874,f10992,f11475,f11099]) ).
thf(f28264,plain,
( ~ spl0_326
| spl0_350
| spl0_81
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f27835,f14250,f1009,f13951,f11227]) ).
thf(f28270,plain,
( spl0_210
| spl0_107
| spl0_183
| spl0_228
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f28228,f10628,f5283,f4669,f1867,f4869]) ).
thf(f28272,plain,
( spl0_214
| spl0_107
| spl0_108
| ~ spl0_297 ),
inference(avatar_split_clause,[],[f28240,f10563,f1876,f1867,f4959]) ).
thf(f28279,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f30,f181]) ).
thf(f28280,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f28279]) ).
thf(f28281,plain,
( spl0_19
| spl0_21
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f28280,f180,f219,f210]) ).
thf(f28294,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_91 ),
inference(constrained_superposition,[],[f1237,f29]) ).
thf(f28295,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_91 ),
inference(trivial_inequality_removal,[],[f28294]) ).
thf(f28298,plain,
( spl0_76
| spl0_93
| spl0_91 ),
inference(avatar_split_clause,[],[f28295,f1236,f1255,f990]) ).
thf(f28301,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_8
| ~ spl0_76 ),
inference(constrained_superposition,[],[f22640,f991]) ).
thf(f28302,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_76 ),
inference(constrained_superposition,[],[f30,f991]) ).
thf(f28304,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f28302]) ).
thf(f28305,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_8
| ~ spl0_76 ),
inference(trivial_inequality_removal,[],[f28301]) ).
thf(f28306,plain,
( spl0_104
| spl0_53
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f28304,f990,f835,f1664]) ).
thf(f28307,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_8
| ~ spl0_11
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f28305,f181]) ).
thf(f28308,plain,
( spl0_96
| ~ spl0_8
| ~ spl0_11
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f28307,f990,f180,f127,f1484]) ).
thf(f28349,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_165
| ~ spl0_218 ),
inference(constrained_superposition,[],[f4194,f6903]) ).
thf(f28366,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_165
| ~ spl0_218 ),
inference(trivial_inequality_removal,[],[f28349]) ).
thf(f28381,plain,
( spl0_110
| ~ spl0_165
| ~ spl0_218 ),
inference(avatar_split_clause,[],[f28366,f5042,f4193,f1889]) ).
thf(f28440,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_112 ),
inference(constrained_superposition,[],[f30,f1897]) ).
thf(f28443,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_112 ),
inference(trivial_inequality_removal,[],[f28440]) ).
thf(f28444,plain,
( spl0_204
| spl0_19
| ~ spl0_112 ),
inference(avatar_split_clause,[],[f28443,f1896,f210,f4802]) ).
thf(f28451,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_21
| ~ spl0_310 ),
inference(constrained_superposition,[],[f220,f11056]) ).
thf(f28458,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_21
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f28451]) ).
thf(f28459,plain,
( ~ spl0_304
| ~ spl0_21
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f28458,f11055,f219,f11033]) ).
thf(f28471,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f391,f1904]) ).
thf(f28473,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f3756,f1904]) ).
thf(f28475,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f122,f1904]) ).
thf(f28476,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f69,f1904]) ).
thf(f28480,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_113 ),
inference(constrained_superposition,[],[f49,f1904]) ).
thf(f28495,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f28476]) ).
thf(f28496,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f28475]) ).
thf(f28497,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f28480]) ).
thf(f28500,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f28471]) ).
thf(f28502,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_113 ),
inference(trivial_inequality_removal,[],[f28473]) ).
thf(f28510,plain,
( spl0_33
| spl0_379
| ~ spl0_28
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f28497,f1903,f310,f17822,f328]) ).
thf(f28513,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_113
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f28500,f4677]) ).
thf(f28515,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_96
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f28502,f1485]) ).
thf(f28520,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_18
| ~ spl0_113
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f28513,f1134]) ).
thf(f28521,plain,
( spl0_85
| spl0_236
| ~ spl0_96
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f28515,f1903,f1484,f5570,f1056]) ).
thf(f28526,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_18
| ~ spl0_113
| spl0_185 ),
inference(forward_subsumption_resolution,[],[f28520,f31]) ).
thf(f28529,plain,
( spl0_106
| spl0_18
| ~ spl0_113
| spl0_185 ),
inference(avatar_split_clause,[],[f28526,f4676,f1903,f204,f1864]) ).
thf(f28550,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_37
| spl0_304 ),
inference(constrained_superposition,[],[f19229,f493]) ).
thf(f28552,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_8
| spl0_304 ),
inference(constrained_superposition,[],[f19229,f22629]) ).
thf(f28558,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_8
| spl0_304 ),
inference(trivial_inequality_removal,[],[f28552]) ).
thf(f28559,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_37
| spl0_304 ),
inference(trivial_inequality_removal,[],[f28550]) ).
thf(f28563,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_8
| spl0_304 ),
inference(forward_subsumption_resolution,[],[f28558,f31]) ).
thf(f28564,plain,
( spl0_308
| ~ spl0_37
| spl0_304 ),
inference(avatar_split_clause,[],[f28559,f11033,f492,f11048]) ).
thf(f28566,plain,
( spl0_308
| ~ spl0_8
| spl0_304 ),
inference(avatar_split_clause,[],[f28563,f11033,f127,f11048]) ).
thf(f28567,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_308 ),
inference(constrained_superposition,[],[f378,f11049]) ).
thf(f28568,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_308 ),
inference(constrained_superposition,[],[f30,f11049]) ).
thf(f28569,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f28568]) ).
thf(f28570,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_308 ),
inference(trivial_inequality_removal,[],[f28567]) ).
thf(f28571,plain,
( spl0_35
| spl0_316
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f28569,f11048,f11092,f351]) ).
thf(f28573,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_104 ),
inference(constrained_superposition,[],[f1665,f156]) ).
thf(f28577,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_104 ),
inference(trivial_inequality_removal,[],[f28573]) ).
thf(f28763,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_204
| ~ spl0_384 ),
inference(constrained_superposition,[],[f4803,f17848]) ).
thf(f28767,plain,
( ( ( r @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_204
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f28763]) ).
thf(f28901,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_575 ),
inference(constrained_superposition,[],[f3756,f27445]) ).
thf(f28902,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_575 ),
inference(constrained_superposition,[],[f174,f27445]) ).
thf(f28903,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_575 ),
inference(constrained_superposition,[],[f122,f27445]) ).
thf(f28904,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_575 ),
inference(constrained_superposition,[],[f69,f27445]) ).
thf(f28920,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_575 ),
inference(trivial_inequality_removal,[],[f28901]) ).
thf(f28929,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_575 ),
inference(trivial_inequality_removal,[],[f28902]) ).
thf(f28930,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_575 ),
inference(trivial_inequality_removal,[],[f28903]) ).
thf(f28931,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_575 ),
inference(trivial_inequality_removal,[],[f28904]) ).
thf(f28935,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_184
| ~ spl0_575 ),
inference(forward_subsumption_resolution,[],[f28920,f4673]) ).
thf(f28937,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| spl0_304
| ~ spl0_575 ),
inference(forward_subsumption_resolution,[],[f28931,f19229]) ).
thf(f28938,plain,
( spl0_219
| spl0_312
| ~ spl0_184
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f28935,f27444,f4672,f11067,f5045]) ).
thf(f28943,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_221
| ~ spl0_342 ),
inference(constrained_superposition,[],[f5057,f27536]) ).
thf(f28948,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_342 ),
inference(constrained_superposition,[],[f174,f27536]) ).
thf(f28949,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_342 ),
inference(constrained_superposition,[],[f122,f27536]) ).
thf(f28950,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_342 ),
inference(constrained_superposition,[],[f69,f27536]) ).
thf(f28965,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f28950]) ).
thf(f28974,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f28949]) ).
thf(f28980,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f28948]) ).
thf(f28982,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_221
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f28943]) ).
thf(f28989,plain,
( spl0_198
| spl0_324
| ~ spl0_325
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f28974,f12721,f11222,f11219,f4765]) ).
thf(f28990,plain,
( ~ spl0_325
| ~ spl0_221
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f28982,f12721,f5056,f11222]) ).
thf(f28996,plain,
( spl0_373
| ~ spl0_325
| spl0_115
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f28965,f12721,f1920,f11222,f16893]) ).
thf(f28998,plain,
( ~ spl0_15
| ~ spl0_204
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f28767,f17847,f4802,f194]) ).
thf(f29004,plain,
( spl0_310
| spl0_373
| ~ spl0_109
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f28929,f27444,f1886,f16893,f11055]) ).
thf(f29005,plain,
( spl0_318
| spl0_317
| ~ spl0_308 ),
inference(avatar_split_clause,[],[f28570,f11048,f11096,f11099]) ).
thf(f29009,plain,
( ~ spl0_326
| spl0_112
| spl0_373
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f28980,f12721,f16893,f1896,f11227]) ).
thf(f29011,plain,
( spl0_15
| spl0_265
| spl0_18 ),
inference(avatar_split_clause,[],[f27665,f204,f6977,f194]) ).
thf(f29023,plain,
( spl0_110
| spl0_204
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f21808,f4634,f4802,f1889]) ).
thf(f29024,plain,
( ~ spl0_218
| spl0_373
| spl0_304
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f28937,f27444,f11033,f16893,f5042]) ).
thf(f29025,plain,
( ~ spl0_29
| spl0_107
| spl0_106
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f28495,f1903,f1864,f1867,f314]) ).
thf(f29026,plain,
( ~ spl0_29
| spl0_31
| spl0_180
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f28496,f1903,f4658,f321,f314]) ).
thf(f29027,plain,
( ~ spl0_218
| spl0_321
| spl0_221
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f28930,f27444,f5056,f11161,f5042]) ).
thf(f29036,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_15 ),
inference(constrained_superposition,[],[f30,f195]) ).
thf(f29037,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f29036]) ).
thf(f29038,plain,
( spl0_20
| spl0_19
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f29037,f194,f210,f213]) ).
thf(f29051,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f391,f17116]) ).
thf(f29052,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f409,f17116]) ).
thf(f29053,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z = X0 ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f567,f17116]) ).
thf(f29056,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f49,f17116]) ).
thf(f29072,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z = X0 )
| ( ( r @ X0 @ z )
= $true ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f29053]) ).
thf(f29076,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f29056]) ).
thf(f29077,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ z @ X0 )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f29052]) ).
thf(f29078,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f29051]) ).
thf(f29086,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( ( b @ ( s @ z ) @ z )
!= $true ) )
| spl0_18
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f29077,f1134]) ).
thf(f29092,plain,
( spl0_36
| ~ spl0_9
| spl0_18
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f29086,f314,f204,f130,f489]) ).
thf(f29102,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_65 ),
inference(constrained_superposition,[],[f917,f38]) ).
thf(f29107,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_65 ),
inference(trivial_inequality_removal,[],[f29102]) ).
thf(f29110,plain,
( spl0_26
| spl0_81
| spl0_65 ),
inference(avatar_split_clause,[],[f29107,f916,f1009,f288]) ).
thf(f29168,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f378,f1010]) ).
thf(f29169,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_81 ),
inference(constrained_superposition,[],[f30,f1010]) ).
thf(f29170,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f29169]) ).
thf(f29171,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_81 ),
inference(trivial_inequality_removal,[],[f29168]) ).
thf(f29172,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_115 ),
inference(constrained_superposition,[],[f378,f1921]) ).
thf(f29173,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_115 ),
inference(constrained_superposition,[],[f30,f1921]) ).
thf(f29174,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f29172]) ).
thf(f29175,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) ) )
| ~ spl0_115 ),
inference(trivial_inequality_removal,[],[f29173]) ).
thf(f29176,plain,
( spl0_211
| spl0_47
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f29175,f1920,f687,f4891]) ).
thf(f29185,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_109 ),
inference(constrained_superposition,[],[f1887,f38]) ).
thf(f29186,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_109 ),
inference(constrained_superposition,[],[f1887,f29]) ).
thf(f29187,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_109 ),
inference(trivial_inequality_removal,[],[f29186]) ).
thf(f29190,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_109 ),
inference(trivial_inequality_removal,[],[f29185]) ).
thf(f29191,plain,
( spl0_227
| spl0_112
| spl0_109 ),
inference(avatar_split_clause,[],[f29187,f1886,f1896,f5277]) ).
thf(f29193,plain,
( spl0_93
| spl0_112
| spl0_109 ),
inference(avatar_split_clause,[],[f29190,f1886,f1896,f1255]) ).
thf(f29243,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f4892,f156]) ).
thf(f29245,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f29243]) ).
thf(f29266,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_371 ),
inference(constrained_superposition,[],[f30,f16486]) ).
thf(f29268,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_371 ),
inference(trivial_inequality_removal,[],[f29266]) ).
thf(f29271,plain,
( spl0_53
| spl0_352
| ~ spl0_371 ),
inference(avatar_split_clause,[],[f29268,f16485,f14007,f835]) ).
thf(f29297,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_342 ),
inference(constrained_superposition,[],[f12722,f157]) ).
thf(f29299,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_342 ),
inference(constrained_superposition,[],[f12722,f38]) ).
thf(f29302,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_342 ),
inference(trivial_inequality_removal,[],[f29299]) ).
thf(f29303,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_342 ),
inference(trivial_inequality_removal,[],[f29297]) ).
thf(f29306,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_228
| spl0_342 ),
inference(forward_subsumption_resolution,[],[f29302,f27406]) ).
thf(f29307,plain,
( spl0_335
| spl0_93
| spl0_342 ),
inference(avatar_split_clause,[],[f29303,f12721,f1255,f12359]) ).
thf(f29309,plain,
( spl0_335
| spl0_228
| spl0_342 ),
inference(avatar_split_clause,[],[f29306,f12721,f5283,f12359]) ).
thf(f29314,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_335 ),
inference(constrained_superposition,[],[f30,f12360]) ).
thf(f29316,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_335 ),
inference(trivial_inequality_removal,[],[f29314]) ).
thf(f29320,plain,
( spl0_181
| spl0_337
| ~ spl0_335 ),
inference(avatar_split_clause,[],[f29316,f12359,f12387,f4662]) ).
thf(f29328,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_106 ),
inference(constrained_superposition,[],[f1865,f57]) ).
thf(f29329,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_106 ),
inference(constrained_superposition,[],[f1865,f37]) ).
thf(f29332,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f29328]) ).
thf(f29338,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_106 ),
inference(trivial_inequality_removal,[],[f29329]) ).
thf(f29340,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_175
| ~ spl0_182 ),
inference(constrained_superposition,[],[f4666,f4625]) ).
thf(f29341,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_175 ),
inference(constrained_superposition,[],[f833,f4625]) ).
thf(f29342,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f30,f4625]) ).
thf(f29343,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_175
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f29340]) ).
thf(f29344,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f29342]) ).
thf(f29345,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_52
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f29341]) ).
thf(f29347,plain,
( $false
| ~ spl0_175
| ~ spl0_182
| ~ spl0_335 ),
inference(forward_subsumption_resolution,[],[f29343,f12360]) ).
thf(f29348,plain,
( ~ spl0_175
| ~ spl0_182
| ~ spl0_335 ),
inference(avatar_contradiction_clause,[],[f29347]) ).
thf(f29362,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_111
| ~ spl0_342 ),
inference(constrained_superposition,[],[f1893,f27536]) ).
thf(f29363,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_342
| ~ spl0_378 ),
inference(constrained_superposition,[],[f17729,f27536]) ).
thf(f29372,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_342 ),
inference(constrained_superposition,[],[f49,f27536]) ).
thf(f29386,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_342
| ~ spl0_378 ),
inference(trivial_inequality_removal,[],[f29363]) ).
thf(f29390,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_111
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f29362]) ).
thf(f29393,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f29372]) ).
thf(f29404,definition,
( spl0_606
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_606])],[avatar_definition]) ).
thf(f29405,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_606 ),
inference(avatar_component_clause,[],[f29404]) ).
thf(f29406,plain,
( ~ spl0_355
| ~ spl0_606
| ~ spl0_342
| ~ spl0_378 ),
inference(avatar_split_clause,[],[f29386,f17728,f12721,f29404,f14250]) ).
thf(f29408,plain,
( ~ spl0_326
| ~ spl0_111
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f29390,f12721,f1892,f11227]) ).
thf(f29410,plain,
( spl0_364
| ~ spl0_314
| spl0_384
| ~ spl0_342 ),
inference(avatar_split_clause,[],[f29393,f12721,f17847,f11076,f15606]) ).
thf(f29424,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_310 ),
inference(constrained_superposition,[],[f378,f11056]) ).
thf(f29425,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_310 ),
inference(constrained_superposition,[],[f30,f11056]) ).
thf(f29426,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f29424]) ).
thf(f29427,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f29425]) ).
thf(f29439,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| spl0_606 ),
inference(constrained_superposition,[],[f29405,f38]) ).
thf(f29440,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_606 ),
inference(constrained_superposition,[],[f29405,f29]) ).
thf(f29442,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_606 ),
inference(trivial_inequality_removal,[],[f29439]) ).
thf(f29444,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_606 ),
inference(trivial_inequality_removal,[],[f29440]) ).
thf(f29966,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_182 ),
inference(constrained_superposition,[],[f4666,f490]) ).
thf(f29967,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_303 ),
inference(constrained_superposition,[],[f10993,f490]) ).
thf(f29975,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_182 ),
inference(trivial_inequality_removal,[],[f29966]) ).
thf(f29979,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_303 ),
inference(trivial_inequality_removal,[],[f29967]) ).
thf(f29981,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_36
| ~ spl0_182 ),
inference(forward_subsumption_resolution,[],[f29975,f31]) ).
thf(f29983,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_36
| ~ spl0_303 ),
inference(forward_subsumption_resolution,[],[f29979,f31]) ).
thf(f29984,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_36
| ~ spl0_182
| ~ spl0_198 ),
inference(forward_subsumption_resolution,[],[f29981,f4766]) ).
thf(f29986,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_180 ),
inference(avatar_component_clause,[],[f4658]) ).
thf(f29987,plain,
( spl0_381
| spl0_327
| ~ spl0_180
| ~ spl0_36
| ~ spl0_303 ),
inference(avatar_split_clause,[],[f29983,f10992,f489,f4658,f11248,f17833]) ).
thf(f29988,plain,
( spl0_210
| spl0_379
| ~ spl0_36
| ~ spl0_182
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f29984,f4765,f4665,f489,f17822,f4869]) ).
thf(f29996,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_372
| spl0_606 ),
inference(forward_subsumption_resolution,[],[f29444,f24651]) ).
thf(f29997,plain,
( spl0_73
| ~ spl0_195
| spl0_192
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f27796,f4747,f4744,f4754,f979]) ).
thf(f30002,plain,
( spl0_318
| spl0_317
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f29426,f11055,f11096,f11099]) ).
thf(f30003,plain,
( ~ spl0_14
| spl0_110
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f29245,f4891,f1889,f190]) ).
thf(f30007,plain,
( ~ spl0_195
| spl0_69
| spl0_249
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f27783,f4747,f6192,f966,f4754]) ).
thf(f30008,plain,
( ~ spl0_14
| spl0_96
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f28577,f1664,f1484,f190]) ).
thf(f30009,plain,
( spl0_208
| spl0_303
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f29344,f4624,f10992,f4853]) ).
thf(f30010,plain,
( spl0_110
| ~ spl0_18
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f21783,f4806,f204,f1889]) ).
thf(f30011,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f27787,f31]) ).
thf(f30013,plain,
( spl0_180
| ~ spl0_23
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f29332,f1864,f260,f4658]) ).
thf(f30019,plain,
( spl0_110
| spl0_204
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f29174,f1920,f4802,f1889]) ).
thf(f30020,plain,
( spl0_379
| ~ spl0_24
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f29338,f1864,f264,f17822]) ).
thf(f30021,plain,
( spl0_317
| spl0_19
| ~ spl0_310 ),
inference(avatar_split_clause,[],[f29427,f11055,f210,f11096]) ).
thf(f30026,plain,
( spl0_96
| spl0_105
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f29171,f1009,f1679,f1484]) ).
thf(f30032,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f27782,f31]) ).
thf(f30035,plain,
( spl0_19
| spl0_105
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f29170,f1009,f1679,f210]) ).
thf(f30043,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f27789,f31]) ).
thf(f30046,plain,
( spl0_312
| spl0_214
| spl0_606 ),
inference(avatar_split_clause,[],[f29442,f29404,f4959,f11067]) ).
thf(f30047,plain,
( spl0_312
| spl0_372
| spl0_606 ),
inference(avatar_split_clause,[],[f29996,f29404,f16490,f11067]) ).
thf(f30067,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f30,f205]) ).
thf(f30068,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f30067]) ).
thf(f30069,plain,
( spl0_35
| spl0_20
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f30068,f204,f213,f351]) ).
thf(f30133,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_96 ),
inference(constrained_superposition,[],[f3462,f38]) ).
thf(f30135,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_96 ),
inference(trivial_inequality_removal,[],[f30133]) ).
thf(f30138,plain,
( spl0_55
| spl0_26
| spl0_96 ),
inference(avatar_split_clause,[],[f30135,f1484,f288,f846]) ).
thf(f30142,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_55 ),
inference(constrained_superposition,[],[f30,f3482]) ).
thf(f30144,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_55 ),
inference(trivial_inequality_removal,[],[f30142]) ).
thf(f30145,plain,
( spl0_53
| spl0_105
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f30144,f846,f1679,f835]) ).
thf(f30158,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_379 ),
inference(constrained_superposition,[],[f30,f17823]) ).
thf(f30160,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_379 ),
inference(trivial_inequality_removal,[],[f30158]) ).
thf(f30162,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_20
| ~ spl0_310 ),
inference(constrained_superposition,[],[f214,f11056]) ).
thf(f30169,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_20
| ~ spl0_310 ),
inference(trivial_inequality_removal,[],[f30162]) ).
thf(f30171,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f391,f1890]) ).
thf(f30172,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ z @ X0 )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f409,f1890]) ).
thf(f30175,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f3756,f1890]) ).
thf(f30177,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f122,f1890]) ).
thf(f30178,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f69,f1890]) ).
thf(f30182,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f49,f1890]) ).
thf(f30183,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true ) )
| ~ spl0_110 ),
inference(constrained_superposition,[],[f44,f1890]) ).
thf(f30195,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f30171]) ).
thf(f30197,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f30177]) ).
thf(f30200,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f30182]) ).
thf(f30203,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f30172]) ).
thf(f30204,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f30183]) ).
thf(f30205,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f30175]) ).
thf(f30208,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_110 ),
inference(trivial_inequality_removal,[],[f30178]) ).
thf(f30245,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_236 ),
inference(constrained_superposition,[],[f30,f5571]) ).
thf(f30248,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_236 ),
inference(trivial_inequality_removal,[],[f30245]) ).
thf(f30309,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f3756,f4614]) ).
thf(f30310,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_172 ),
inference(constrained_superposition,[],[f174,f4614]) ).
thf(f30331,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f30309]) ).
thf(f30335,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f30310]) ).
thf(f30347,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_172
| spl0_194 ),
inference(forward_subsumption_resolution,[],[f30331,f27603]) ).
thf(f30349,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| spl0_112
| ~ spl0_172 ),
inference(forward_subsumption_resolution,[],[f30335,f24187]) ).
thf(f30350,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_172
| ~ spl0_193
| spl0_194 ),
inference(forward_subsumption_resolution,[],[f30347,f5440]) ).
thf(f30352,plain,
( spl0_191
| ~ spl0_114
| spl0_112
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f30349,f4613,f1896,f1906,f4740]) ).
thf(f30353,plain,
( spl0_192
| ~ spl0_172
| ~ spl0_193
| spl0_194 ),
inference(avatar_split_clause,[],[f30350,f4750,f4747,f4613,f4744]) ).
thf(f30367,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f391,f27532]) ).
thf(f30368,plain,
( ! [X0: $i] :
( ( ( r @ z @ X0 )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f409,f27532]) ).
thf(f30370,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f122,f27532]) ).
thf(f30371,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f69,f27532]) ).
thf(f30375,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f49,f27532]) ).
thf(f30383,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_355 ),
inference(constrained_superposition,[],[f4031,f27532]) ).
thf(f30384,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f30383]) ).
thf(f30385,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f30370]) ).
thf(f30389,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f30371]) ).
thf(f30391,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f30367]) ).
thf(f30393,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f30375]) ).
thf(f30396,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ z @ X0 )
= $true ) )
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f30368]) ).
thf(f30403,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| spl0_73
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f30391,f6611]) ).
thf(f30407,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ X0 )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( z = X0 ) )
| ~ spl0_20
| ~ spl0_310
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f30396,f30169]) ).
thf(f30413,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| spl0_73
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f30403,f31]) ).
thf(f30416,plain,
( spl0_74
| ~ spl0_58
| ~ spl0_20
| ~ spl0_310
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f30407,f14250,f11055,f213,f890,f983]) ).
thf(f30420,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_20
| spl0_73
| ~ spl0_310
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f30413,f30169]) ).
thf(f30423,plain,
( spl0_350
| ~ spl0_20
| spl0_73
| ~ spl0_310
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f30420,f14250,f11055,f979,f213,f13951]) ).
thf(f30426,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f30043,f31]) ).
thf(f30430,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f29078,f31]) ).
thf(f30433,plain,
( spl0_33
| spl0_384
| ~ spl0_28
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f30200,f1889,f310,f17847,f328]) ).
thf(f30434,plain,
( spl0_185
| spl0_74
| ~ spl0_58
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f27786,f4747,f890,f983,f4676]) ).
thf(f30436,plain,
( spl0_389
| spl0_1
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f29072,f314,f73,f17934]) ).
thf(f30438,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f30195,f31]) ).
thf(f30441,plain,
( spl0_208
| spl0_179
| ~ spl0_236 ),
inference(avatar_split_clause,[],[f30248,f5570,f4655,f4853]) ).
thf(f30442,plain,
( ~ spl0_28
| spl0_187
| spl0_111
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f30204,f1889,f1892,f4725,f310]) ).
thf(f30443,plain,
( spl0_4
| spl0_33
| ~ spl0_28
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f29076,f314,f310,f328,f83]) ).
thf(f30446,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_110
| spl0_194 ),
inference(forward_subsumption_resolution,[],[f30205,f27603]) ).
thf(f30449,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f30197,f17116]) ).
thf(f30450,plain,
( spl0_207
| spl0_208
| ~ spl0_379 ),
inference(avatar_split_clause,[],[f30160,f17822,f4853,f4833]) ).
thf(f30453,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f30208,f17116]) ).
thf(f30454,plain,
( spl0_18
| ~ spl0_196
| spl0_197
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f30203,f1889,f4761,f4758,f204]) ).
thf(f30459,plain,
( spl0_1
| spl0_18
| spl0_31
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f30430,f314,f321,f204,f73]) ).
thf(f30463,plain,
( spl0_111
| spl0_18
| spl0_187
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f30438,f1889,f4725,f204,f1892]) ).
thf(f30466,plain,
( ~ spl0_96
| spl0_85
| ~ spl0_110
| spl0_194 ),
inference(avatar_split_clause,[],[f30446,f4750,f1889,f1056,f1484]) ).
thf(f30467,plain,
( spl0_31
| spl0_198
| ~ spl0_29
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f30449,f1889,f314,f4765,f321]) ).
thf(f30469,plain,
( spl0_115
| spl0_111
| ~ spl0_29
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f30453,f1889,f314,f1892,f1920]) ).
thf(f30479,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f30,f74]) ).
thf(f30480,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ X0 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f30479]) ).
thf(f30481,plain,
( spl0_39
| spl0_35
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f30480,f73,f351,f505]) ).
thf(f30482,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f30,f84]) ).
thf(f30483,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f30482]) ).
thf(f30484,plain,
( spl0_47
| spl0_39
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f30483,f83,f505,f687]) ).
thf(f30485,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f211,f156]) ).
thf(f30492,plain,
( ! [X0: $i] :
( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f30485]) ).
thf(f30527,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f122,f30492]) ).
thf(f30532,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_19 ),
inference(constrained_superposition,[],[f49,f30492]) ).
thf(f30545,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f30527]) ).
thf(f30557,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f30532]) ).
thf(f30562,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f30545,f17116]) ).
thf(f30569,plain,
( spl0_34
| spl0_33
| ~ spl0_28
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f30557,f210,f310,f328,f331]) ).
thf(f30572,plain,
( spl0_31
| spl0_32
| ~ spl0_19
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f30562,f314,f210,f324,f321]) ).
thf(f30608,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f30,f4679]) ).
thf(f30609,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f30608]) ).
thf(f30611,plain,
( spl0_207
| spl0_35
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f30609,f4676,f351,f4833]) ).
thf(f30632,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_36
| spl0_180 ),
inference(constrained_superposition,[],[f29986,f490]) ).
thf(f30634,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_36
| spl0_180 ),
inference(trivial_inequality_removal,[],[f30632]) ).
thf(f30665,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_184 ),
inference(constrained_superposition,[],[f5572,f58]) ).
thf(f30667,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_184 ),
inference(constrained_superposition,[],[f5572,f29]) ).
thf(f30668,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_184 ),
inference(trivial_inequality_removal,[],[f30665]) ).
thf(f30670,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_184 ),
inference(trivial_inequality_removal,[],[f30667]) ).
thf(f30672,plain,
( spl0_26
| spl0_232
| spl0_184 ),
inference(avatar_split_clause,[],[f30668,f4672,f5438,f288]) ).
thf(f30674,plain,
( spl0_232
| spl0_230
| spl0_184 ),
inference(avatar_split_clause,[],[f30670,f4672,f5430,f5438]) ).
thf(f30678,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_304 ),
inference(constrained_superposition,[],[f30,f11034]) ).
thf(f30679,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( r @ ( s @ z ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_304 ),
inference(trivial_inequality_removal,[],[f30678]) ).
thf(f30682,plain,
( spl0_333
| spl0_47
| ~ spl0_304 ),
inference(avatar_split_clause,[],[f30679,f11033,f687,f11766]) ).
thf(f30700,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_232 ),
inference(constrained_superposition,[],[f30,f5672]) ).
thf(f30703,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f30700]) ).
thf(f30704,plain,
( spl0_206
| spl0_53
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f30703,f5438,f835,f4811]) ).
thf(f30709,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_321 ),
inference(constrained_superposition,[],[f30,f11162]) ).
thf(f30710,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_321 ),
inference(trivial_inequality_removal,[],[f30709]) ).
thf(f30712,plain,
( spl0_333
| spl0_302
| ~ spl0_321 ),
inference(avatar_split_clause,[],[f30710,f11161,f10989,f11766]) ).
thf(f30741,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_85
| ~ spl0_355 ),
inference(constrained_superposition,[],[f1057,f27532]) ).
thf(f30748,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_85
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f30741]) ).
thf(f30775,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f30,f4611]) ).
thf(f30779,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f30775]) ).
thf(f30780,plain,
( spl0_182
| spl0_181
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f30779,f4610,f4662,f4665]) ).
thf(f30822,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_364 ),
inference(constrained_superposition,[],[f15607,f432]) ).
thf(f30823,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_19
| ~ spl0_364 ),
inference(constrained_superposition,[],[f15607,f30492]) ).
thf(f30828,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ z )
!= $true )
| ~ spl0_19
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f30823]) ).
thf(f30832,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_364 ),
inference(trivial_inequality_removal,[],[f30822]) ).
thf(f30834,plain,
( ~ spl0_28
| ~ spl0_19
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f30828,f15606,f210,f310]) ).
thf(f30835,plain,
( ~ spl0_58
| spl0_312
| ~ spl0_364 ),
inference(avatar_split_clause,[],[f30832,f15606,f11067,f890]) ).
thf(f30836,plain,
( spl0_69
| spl0_185
| spl0_166
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f30426,f4747,f4276,f4676,f966]) ).
thf(f30837,plain,
( ~ spl0_314
| spl0_69
| spl0_364
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f30393,f14250,f15606,f966,f11076]) ).
thf(f30840,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_193 ),
inference(forward_subsumption_resolution,[],[f30032,f31]) ).
thf(f30845,plain,
( spl0_192
| spl0_185
| spl0_73
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f30011,f4747,f979,f4676,f4744]) ).
thf(f30850,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f30384,f31]) ).
thf(f30851,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f30391,f31]) ).
thf(f30853,plain,
( spl0_166
| spl0_185
| spl0_73
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f30840,f4747,f979,f4676,f4276]) ).
thf(f30854,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f30850,f31]) ).
thf(f30855,plain,
( spl0_73
| spl0_350
| spl0_308
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f30851,f14250,f11048,f13951,f979]) ).
thf(f30857,plain,
( spl0_308
| spl0_166
| spl0_73
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f30854,f14250,f979,f4276,f11048]) ).
thf(f30875,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f30,f967]) ).
thf(f30876,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f30875]) ).
thf(f30878,plain,
( spl0_53
| spl0_97
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f30876,f966,f1489,f835]) ).
thf(f30880,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ z @ X0 )
!= $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_73 ),
inference(constrained_superposition,[],[f30,f980]) ).
thf(f30881,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ z @ X0 )
!= $true ) )
| ~ spl0_73 ),
inference(trivial_inequality_removal,[],[f30880]) ).
thf(f30883,plain,
( spl0_35
| spl0_97
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f30881,f979,f1489,f351]) ).
thf(f30889,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_384 ),
inference(constrained_superposition,[],[f833,f17848]) ).
thf(f30890,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_384 ),
inference(constrained_superposition,[],[f30,f17848]) ).
thf(f30891,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f30889]) ).
thf(f30892,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f30890]) ).
thf(f30894,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52
| ~ spl0_69
| ~ spl0_384 ),
inference(forward_subsumption_resolution,[],[f30891,f967]) ).
thf(f30895,plain,
( spl0_181
| spl0_205
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f30892,f17847,f4806,f4662]) ).
thf(f30896,plain,
( spl0_184
| ~ spl0_52
| ~ spl0_69
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f30894,f17847,f966,f832,f4672]) ).
thf(f31041,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_312 ),
inference(constrained_superposition,[],[f30,f11068]) ).
thf(f31042,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_312 ),
inference(trivial_inequality_removal,[],[f31041]) ).
thf(f31045,plain,
( spl0_352
| spl0_302
| ~ spl0_312 ),
inference(avatar_split_clause,[],[f31042,f11067,f10989,f14007]) ).
thf(f31067,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_575 ),
inference(constrained_superposition,[],[f391,f27445]) ).
thf(f31076,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_575 ),
inference(constrained_superposition,[],[f49,f27445]) ).
thf(f31093,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_575 ),
inference(trivial_inequality_removal,[],[f31067]) ).
thf(f31095,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_575 ),
inference(trivial_inequality_removal,[],[f31076]) ).
thf(f31107,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_575 ),
inference(forward_subsumption_resolution,[],[f31093,f31]) ).
thf(f31108,plain,
( ~ spl0_196
| spl0_222
| spl0_381
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f31095,f27444,f17833,f5060,f4758]) ).
thf(f31127,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_36
| spl0_180 ),
inference(forward_subsumption_resolution,[],[f30634,f31]) ).
thf(f31130,plain,
( ~ spl0_325
| spl0_71
| spl0_350
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f30389,f14250,f13951,f973,f11222]) ).
thf(f31135,plain,
( ~ spl0_371
| spl0_193
| ~ spl0_52
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f29345,f4624,f832,f4747,f16485]) ).
thf(f31136,plain,
( spl0_308
| spl0_373
| spl0_187
| ~ spl0_575 ),
inference(avatar_split_clause,[],[f31107,f27444,f4725,f16893,f11048]) ).
thf(f31138,plain,
( ~ spl0_325
| spl0_324
| spl0_76
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f30385,f14250,f990,f11219,f11222]) ).
thf(f31140,plain,
( ~ spl0_326
| ~ spl0_85
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f30748,f14250,f1056,f11227]) ).
thf(f31143,plain,
( spl0_379
| spl0_210
| ~ spl0_36
| spl0_180 ),
inference(avatar_split_clause,[],[f31127,f4658,f489,f4869,f17822]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f85]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f108]) ).
cnf(s4,plain,
( spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f114]) ).
cnf(s6,plain,
( spl0_7
| spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f132]) ).
cnf(s8,plain,
( spl0_1
| spl0_9 ),
inference(sat_conversion,[],[f141]) ).
cnf(s10,plain,
( ~ spl0_6
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f152]) ).
cnf(s11,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f185]) ).
cnf(s12,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f192]) ).
cnf(s19,plain,
( spl0_15
| spl0_24 ),
inference(sat_conversion,[],[f274]) ).
cnf(s22,plain,
( spl0_11
| spl0_23 ),
inference(sat_conversion,[],[f286]) ).
cnf(s23,plain,
( spl0_11
| spl0_23
| spl0_26 ),
inference(sat_conversion,[],[f290]) ).
cnf(s28,plain,
( ~ spl0_19
| ~ spl0_28
| spl0_33
| spl0_34 ),
inference(sat_conversion,[],[f333]) ).
cnf(s29,plain,
( ~ spl0_19
| spl0_28 ),
inference(sat_conversion,[],[f340]) ).
cnf(s30,plain,
( ~ spl0_19
| spl0_28 ),
inference(sat_conversion,[],[f342]) ).
cnf(s32,plain,
( spl0_18
| spl0_28 ),
inference(sat_conversion,[],[f344]) ).
cnf(s35,plain,
( spl0_14
| spl0_26
| spl0_29 ),
inference(sat_conversion,[],[f360]) ).
cnf(s36,plain,
( spl0_14
| spl0_29 ),
inference(sat_conversion,[],[f362]) ).
cnf(s38,plain,
( ~ spl0_9
| spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f494]) ).
cnf(s39,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_20 ),
inference(sat_conversion,[],[f497]) ).
cnf(s42,plain,
( ~ spl0_15
| ~ spl0_35 ),
inference(sat_conversion,[],[f510]) ).
cnf(s44,plain,
( ~ spl0_8
| spl0_37 ),
inference(sat_conversion,[],[f531]) ).
cnf(s46,plain,
( ~ spl0_35
| spl0_40
| spl0_41 ),
inference(sat_conversion,[],[f612]) ).
cnf(s47,plain,
( ~ spl0_35
| spl0_37
| spl0_42 ),
inference(sat_conversion,[],[f616]) ).
cnf(s48,plain,
( ~ spl0_28
| spl0_40
| spl0_43 ),
inference(sat_conversion,[],[f621]) ).
cnf(s51,plain,
( spl0_1
| spl0_10 ),
inference(sat_conversion,[],[f632]) ).
cnf(s60,plain,
( ~ spl0_3
| ~ spl0_9
| spl0_49 ),
inference(sat_conversion,[],[f751]) ).
cnf(s62,plain,
( ~ spl0_5
| spl0_14
| spl0_15
| spl0_51 ),
inference(sat_conversion,[],[f818]) ).
cnf(s63,plain,
( spl0_52
| spl0_53 ),
inference(sat_conversion,[],[f837]) ).
cnf(s68,plain,
( ~ spl0_53
| ~ spl0_60
| spl0_63 ),
inference(sat_conversion,[],[f911]) ).
cnf(s70,plain,
( ~ spl0_53
| ~ spl0_58
| spl0_66
| spl0_67 ),
inference(sat_conversion,[],[f925]) ).
cnf(s71,plain,
( ~ spl0_3
| ~ spl0_53
| ~ spl0_58
| spl0_68 ),
inference(sat_conversion,[],[f931]) ).
cnf(s72,plain,
( ~ spl0_53
| spl0_59 ),
inference(sat_conversion,[],[f933]) ).
cnf(s79,plain,
( ~ spl0_54
| spl0_71
| spl0_79 ),
inference(sat_conversion,[],[f1003]) ).
cnf(s84,plain,
( ~ spl0_29
| spl0_31
| spl0_55
| spl0_76 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s85,plain,
( ~ spl0_29
| spl0_55
| spl0_71
| spl0_85 ),
inference(sat_conversion,[],[f1058]) ).
cnf(s87,plain,
( ~ spl0_53
| spl0_58 ),
inference(sat_conversion,[],[f1069]) ).
cnf(s88,plain,
( ~ spl0_53
| spl0_60 ),
inference(sat_conversion,[],[f1079]) ).
cnf(s89,plain,
( ~ spl0_53
| spl0_60 ),
inference(sat_conversion,[],[f1081]) ).
cnf(s93,plain,
( spl0_26
| ~ spl0_53
| spl0_65 ),
inference(sat_conversion,[],[f1102]) ).
cnf(s96,plain,
( ~ spl0_3
| spl0_14
| spl0_18
| spl0_51 ),
inference(sat_conversion,[],[f1136]) ).
cnf(s106,plain,
( spl0_76
| spl0_91
| spl0_93 ),
inference(sat_conversion,[],[f1257]) ).
cnf(s115,plain,
( ~ spl0_4
| ~ spl0_35 ),
inference(sat_conversion,[],[f1344]) ).
cnf(s141,plain,
( spl0_19
| ~ spl0_40
| spl0_100 ),
inference(sat_conversion,[],[f1558]) ).
cnf(s142,plain,
( ~ spl0_40
| ~ spl0_53 ),
inference(sat_conversion,[],[f1560]) ).
cnf(s143,plain,
( ~ spl0_53
| ~ spl0_73 ),
inference(sat_conversion,[],[f1564]) ).
cnf(s145,plain,
( ~ spl0_53
| ~ spl0_71 ),
inference(sat_conversion,[],[f1570]) ).
cnf(s146,plain,
( ~ spl0_14
| ~ spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f1571]) ).
cnf(s148,plain,
( ~ spl0_4
| ~ spl0_46
| ~ spl0_53
| ~ spl0_69
| spl0_93 ),
inference(sat_conversion,[],[f1583]) ).
cnf(s149,plain,
( spl0_47
| ~ spl0_68
| spl0_102 ),
inference(sat_conversion,[],[f1618]) ).
cnf(s152,plain,
( ~ spl0_14
| spl0_75
| ~ spl0_102 ),
inference(sat_conversion,[],[f1642]) ).
cnf(s154,plain,
( spl0_40
| ~ spl0_51 ),
inference(sat_conversion,[],[f1662]) ).
cnf(s158,plain,
( spl0_58
| spl0_73 ),
inference(sat_conversion,[],[f1673]) ).
cnf(s166,plain,
( ~ spl0_3
| ~ spl0_28
| spl0_71
| spl0_73
| ~ spl0_96 ),
inference(sat_conversion,[],[f1727]) ).
cnf(s168,plain,
( ~ spl0_29
| ~ spl0_62
| ~ spl0_96 ),
inference(sat_conversion,[],[f1730]) ).
cnf(s172,plain,
( spl0_18
| spl0_73
| spl0_85
| ~ spl0_96 ),
inference(sat_conversion,[],[f1736]) ).
cnf(s173,plain,
( ~ spl0_1
| ~ spl0_76
| ~ spl0_97 ),
inference(sat_conversion,[],[f1750]) ).
cnf(s176,plain,
( ~ spl0_43
| spl0_55
| spl0_57
| spl0_69 ),
inference(sat_conversion,[],[f1755]) ).
cnf(s201,plain,
~ spl0_57,
inference(sat_conversion,[],[f1929]) ).
cnf(s214,plain,
( spl0_57
| spl0_65
| spl0_81 ),
inference(sat_conversion,[],[f1980]) ).
cnf(s227,plain,
( ~ spl0_19
| ~ spl0_59
| spl0_89 ),
inference(sat_conversion,[],[f2073]) ).
cnf(s230,plain,
( ~ spl0_24
| spl0_69
| ~ spl0_85 ),
inference(sat_conversion,[],[f2132]) ).
cnf(s231,plain,
( spl0_83
| ~ spl0_85 ),
inference(sat_conversion,[],[f2133]) ).
cnf(s232,plain,
( ~ spl0_33
| spl0_51 ),
inference(sat_conversion,[],[f2134]) ).
cnf(s233,plain,
( ~ spl0_53
| ~ spl0_81 ),
inference(sat_conversion,[],[f2139]) ).
cnf(s234,plain,
( ~ spl0_4
| ~ spl0_69
| ~ spl0_104 ),
inference(sat_conversion,[],[f2145]) ).
cnf(s235,plain,
( ~ spl0_31
| ~ spl0_60
| ~ spl0_65 ),
inference(sat_conversion,[],[f2171]) ).
cnf(s237,plain,
( spl0_11
| ~ spl0_60
| spl0_62
| ~ spl0_65 ),
inference(sat_conversion,[],[f2175]) ).
cnf(s239,plain,
( ~ spl0_28
| spl0_43
| ~ spl0_53
| ~ spl0_65 ),
inference(sat_conversion,[],[f2180]) ).
cnf(s243,plain,
( ~ spl0_23
| ~ spl0_27
| spl0_122 ),
inference(sat_conversion,[],[f2251]) ).
cnf(s244,plain,
( ~ spl0_23
| ~ spl0_30
| spl0_123 ),
inference(sat_conversion,[],[f2280]) ).
cnf(s245,plain,
( ~ spl0_24
| ~ spl0_30
| spl0_124 ),
inference(sat_conversion,[],[f2284]) ).
cnf(s246,plain,
( ~ spl0_11
| ~ spl0_76
| ~ spl0_105 ),
inference(sat_conversion,[],[f2286]) ).
cnf(s250,plain,
( spl0_73
| ~ spl0_100
| spl0_125 ),
inference(sat_conversion,[],[f2317]) ).
cnf(s251,plain,
( ~ spl0_105
| spl0_125 ),
inference(sat_conversion,[],[f2318]) ).
cnf(s264,plain,
( ~ spl0_52
| ~ spl0_76
| spl0_90
| ~ spl0_104
| ~ spl0_123 ),
inference(sat_conversion,[],[f2716]) ).
cnf(s265,plain,
( ~ spl0_59
| ~ spl0_91
| spl0_92 ),
inference(sat_conversion,[],[f2717]) ).
cnf(s274,plain,
( ~ spl0_53
| ~ spl0_65
| spl0_116
| spl0_119 ),
inference(sat_conversion,[],[f2781]) ).
cnf(s275,plain,
( spl0_14
| ~ spl0_60
| ~ spl0_65
| spl0_85 ),
inference(sat_conversion,[],[f2782]) ).
cnf(s277,plain,
( spl0_18
| ~ spl0_53
| ~ spl0_65
| spl0_85 ),
inference(sat_conversion,[],[f2786]) ).
cnf(s287,plain,
( spl0_14
| spl0_26
| spl0_93
| ~ spl0_119 ),
inference(sat_conversion,[],[f3300]) ).
cnf(s288,plain,
( spl0_18
| ~ spl0_119 ),
inference(sat_conversion,[],[f3302]) ).
cnf(s289,plain,
( ~ spl0_23
| spl0_76
| ~ spl0_85 ),
inference(sat_conversion,[],[f3303]) ).
cnf(s296,plain,
( spl0_11
| spl0_76
| ~ spl0_83
| spl0_93 ),
inference(sat_conversion,[],[f3371]) ).
cnf(s298,plain,
( spl0_47
| ~ spl0_94
| spl0_146 ),
inference(sat_conversion,[],[f3423]) ).
cnf(s301,plain,
( ~ spl0_59
| ~ spl0_75
| spl0_89
| ~ spl0_96 ),
inference(sat_conversion,[],[f3463]) ).
cnf(s304,plain,
( spl0_18
| ~ spl0_75
| spl0_148 ),
inference(sat_conversion,[],[f3475]) ).
cnf(s313,plain,
( spl0_11
| spl0_14
| spl0_18
| ~ spl0_49 ),
inference(sat_conversion,[],[f3626]) ).
cnf(s317,plain,
( ~ spl0_60
| spl0_62
| spl0_155 ),
inference(sat_conversion,[],[f3771]) ).
cnf(s319,plain,
( spl0_60
| spl0_71
| spl0_93 ),
inference(sat_conversion,[],[f3783]) ).
cnf(s322,plain,
( spl0_62
| ~ spl0_91
| spl0_155 ),
inference(sat_conversion,[],[f3800]) ).
cnf(s323,plain,
( ~ spl0_43
| spl0_57
| spl0_69
| ~ spl0_74
| spl0_157 ),
inference(sat_conversion,[],[f3851]) ).
cnf(s327,plain,
( ~ spl0_20
| ~ spl0_73
| ~ spl0_81 ),
inference(sat_conversion,[],[f3860]) ).
cnf(s337,plain,
( ~ spl0_10
| spl0_11
| spl0_18
| spl0_19
| spl0_160 ),
inference(sat_conversion,[],[f4117]) ).
cnf(s341,plain,
( ~ spl0_10
| spl0_11
| spl0_18
| spl0_163 ),
inference(sat_conversion,[],[f4132]) ).
cnf(s357,plain,
( spl0_57
| spl0_171
| spl0_172 ),
inference(sat_conversion,[],[f4615]) ).
cnf(s358,plain,
( spl0_57
| spl0_173
| spl0_174 ),
inference(sat_conversion,[],[f4622]) ).
cnf(s359,plain,
( spl0_57
| spl0_175
| spl0_176 ),
inference(sat_conversion,[],[f4629]) ).
cnf(s360,plain,
( spl0_57
| spl0_177
| spl0_178 ),
inference(sat_conversion,[],[f4636]) ).
cnf(s361,plain,
( ~ spl0_155
| ~ spl0_171
| spl0_179
| spl0_180 ),
inference(sat_conversion,[],[f4660]) ).
cnf(s363,plain,
( ~ spl0_52
| ~ spl0_171
| ~ spl0_183
| spl0_184 ),
inference(sat_conversion,[],[f4674]) ).
cnf(s383,plain,
( spl0_187
| spl0_196 ),
inference(sat_conversion,[],[f4820]) ).
cnf(s387,plain,
( ~ spl0_155
| spl0_179
| spl0_180
| ~ spl0_185 ),
inference(sat_conversion,[],[f4837]) ).
cnf(s389,plain,
( spl0_107
| spl0_199
| spl0_210 ),
inference(sat_conversion,[],[f4871]) ).
cnf(s390,plain,
( spl0_107
| spl0_199 ),
inference(sat_conversion,[],[f4872]) ).
cnf(s392,plain,
( ~ spl0_115
| ~ spl0_156
| spl0_187
| spl0_206 ),
inference(sat_conversion,[],[f4888]) ).
cnf(s399,plain,
( spl0_108
| spl0_114
| spl0_214 ),
inference(sat_conversion,[],[f4961]) ).
cnf(s401,plain,
( spl0_108
| spl0_114
| spl0_215 ),
inference(sat_conversion,[],[f4966]) ).
cnf(s403,plain,
( ~ spl0_112
| ~ spl0_155
| spl0_198
| spl0_206 ),
inference(sat_conversion,[],[f4987]) ).
cnf(s404,plain,
( ~ spl0_112
| ~ spl0_125
| spl0_184 ),
inference(sat_conversion,[],[f4989]) ).
cnf(s415,plain,
( ~ spl0_20
| ~ spl0_39
| ~ spl0_81
| ~ spl0_115
| ~ spl0_184
| spl0_219 ),
inference(sat_conversion,[],[f5065]) ).
cnf(s416,plain,
( ~ spl0_39
| ~ spl0_115
| ~ spl0_187 ),
inference(sat_conversion,[],[f5067]) ).
cnf(s420,plain,
( ~ spl0_28
| ~ spl0_39
| ~ spl0_110
| spl0_111
| ~ spl0_115 ),
inference(sat_conversion,[],[f5142]) ).
cnf(s425,plain,
( spl0_115
| spl0_215
| spl0_218 ),
inference(sat_conversion,[],[f5150]) ).
cnf(s426,plain,
( spl0_115
| spl0_218 ),
inference(sat_conversion,[],[f5153]) ).
cnf(s433,plain,
( ~ spl0_31
| spl0_163 ),
inference(sat_conversion,[],[f5198]) ).
cnf(s434,plain,
( ~ spl0_1
| ~ spl0_198
| ~ spl0_205 ),
inference(sat_conversion,[],[f5211]) ).
cnf(s437,plain,
( ~ spl0_28
| ~ spl0_110
| ~ spl0_222 ),
inference(sat_conversion,[],[f5244]) ).
cnf(s438,plain,
( ~ spl0_58
| spl0_194
| ~ spl0_222 ),
inference(sat_conversion,[],[f5245]) ).
cnf(s439,plain,
( ~ spl0_20
| ~ spl0_112
| ~ spl0_187 ),
inference(sat_conversion,[],[f5247]) ).
cnf(s441,plain,
( spl0_183
| spl0_193
| spl0_227 ),
inference(sat_conversion,[],[f5280]) ).
cnf(s448,plain,
( ~ spl0_155
| spl0_179
| spl0_180
| ~ spl0_183 ),
inference(sat_conversion,[],[f5309]) ).
cnf(s451,plain,
( ~ spl0_71
| ~ spl0_155
| spl0_198
| ~ spl0_211 ),
inference(sat_conversion,[],[f5337]) ).
cnf(s454,plain,
( ~ spl0_172
| ~ spl0_199
| ~ spl0_221 ),
inference(sat_conversion,[],[f5383]) ).
cnf(s455,plain,
( ~ spl0_29
| ~ spl0_110
| ~ spl0_221 ),
inference(sat_conversion,[],[f5384]) ).
cnf(s456,plain,
( ~ spl0_60
| spl0_194
| ~ spl0_221 ),
inference(sat_conversion,[],[f5385]) ).
cnf(s457,plain,
( ~ spl0_178
| ~ spl0_187
| ~ spl0_207 ),
inference(sat_conversion,[],[f5407]) ).
cnf(s458,plain,
( ~ spl0_155
| ~ spl0_178
| spl0_198
| spl0_206 ),
inference(sat_conversion,[],[f5408]) ).
cnf(s463,plain,
( ~ spl0_52
| ~ spl0_178
| spl0_184
| spl0_193 ),
inference(sat_conversion,[],[f5436]) ).
cnf(s464,plain,
( ~ spl0_52
| ~ spl0_178
| spl0_193
| ~ spl0_232 ),
inference(sat_conversion,[],[f5441]) ).
cnf(s474,plain,
( spl0_107
| ~ spl0_177
| spl0_191
| ~ spl0_218 ),
inference(sat_conversion,[],[f5580]) ).
cnf(s475,plain,
( ~ spl0_105
| ~ spl0_109
| ~ spl0_177
| ~ spl0_183
| spl0_191 ),
inference(sat_conversion,[],[f5581]) ).
cnf(s477,plain,
( ~ spl0_1
| ~ spl0_180
| ~ spl0_207 ),
inference(sat_conversion,[],[f5596]) ).
cnf(s480,plain,
( spl0_185
| spl0_195 ),
inference(sat_conversion,[],[f5602]) ).
cnf(s487,plain,
( ~ spl0_177
| spl0_185
| spl0_187
| spl0_191 ),
inference(sat_conversion,[],[f5621]) ).
cnf(s490,plain,
( ~ spl0_54
| spl0_113
| ~ spl0_177
| spl0_243 ),
inference(sat_conversion,[],[f5630]) ).
cnf(s493,plain,
( spl0_26
| spl0_184
| spl0_232 ),
inference(sat_conversion,[],[f5673]) ).
cnf(s495,plain,
( spl0_57
| spl0_184
| spl0_232 ),
inference(sat_conversion,[],[f5676]) ).
cnf(s497,plain,
( ~ spl0_155
| spl0_198
| spl0_206
| ~ spl0_232 ),
inference(sat_conversion,[],[f5695]) ).
cnf(s530,plain,
~ spl0_227,
inference(sat_conversion,[],[f5942]) ).
cnf(s543,plain,
~ spl0_228,
inference(sat_conversion,[],[f6134]) ).
cnf(s560,plain,
( ~ spl0_111
| ~ spl0_114
| ~ spl0_172 ),
inference(sat_conversion,[],[f6249]) ).
cnf(s563,plain,
( ~ spl0_156
| spl0_187
| spl0_206
| ~ spl0_232 ),
inference(sat_conversion,[],[f6252]) ).
cnf(s564,plain,
( ~ spl0_177
| ~ spl0_196
| ~ spl0_249 ),
inference(sat_conversion,[],[f6253]) ).
cnf(s571,plain,
( ~ spl0_19
| ~ spl0_55 ),
inference(sat_conversion,[],[f6280]) ).
cnf(s572,plain,
( ~ spl0_19
| ~ spl0_43
| spl0_170 ),
inference(sat_conversion,[],[f6286]) ).
cnf(s574,plain,
( spl0_15
| spl0_40
| spl0_251 ),
inference(sat_conversion,[],[f6293]) ).
cnf(s576,plain,
( ~ spl0_34
| spl0_69 ),
inference(sat_conversion,[],[f6346]) ).
cnf(s578,plain,
( ~ spl0_181
| ~ spl0_232 ),
inference(sat_conversion,[],[f6363]) ).
cnf(s580,plain,
( ~ spl0_155
| ~ spl0_187
| spl0_198
| spl0_206 ),
inference(sat_conversion,[],[f6379]) ).
cnf(s584,plain,
( spl0_113
| ~ spl0_171
| spl0_186 ),
inference(sat_conversion,[],[f6434]) ).
cnf(s586,plain,
( ~ spl0_156
| ~ spl0_171
| spl0_179
| spl0_185 ),
inference(sat_conversion,[],[f6436]) ).
cnf(s588,plain,
( ~ spl0_172
| spl0_198
| ~ spl0_199
| spl0_200 ),
inference(sat_conversion,[],[f6477]) ).
cnf(s591,plain,
( ~ spl0_177
| ~ spl0_200
| ~ spl0_218 ),
inference(sat_conversion,[],[f6498]) ).
cnf(s593,plain,
( ~ spl0_107
| spl0_113
| spl0_186 ),
inference(sat_conversion,[],[f6515]) ).
cnf(s596,plain,
( ~ spl0_107
| ~ spl0_155
| spl0_179
| spl0_180 ),
inference(sat_conversion,[],[f6519]) ).
cnf(s597,plain,
( ~ spl0_81
| ~ spl0_194
| ~ spl0_204 ),
inference(sat_conversion,[],[f6585]) ).
cnf(s598,plain,
( ~ spl0_81
| ~ spl0_155
| spl0_198
| ~ spl0_204 ),
inference(sat_conversion,[],[f6587]) ).
cnf(s601,plain,
( ~ spl0_73
| ~ spl0_155
| spl0_198
| ~ spl0_205 ),
inference(sat_conversion,[],[f6612]) ).
cnf(s602,plain,
( ~ spl0_73
| ~ spl0_155
| spl0_180
| ~ spl0_207 ),
inference(sat_conversion,[],[f6613]) ).
cnf(s605,plain,
( spl0_4
| spl0_71
| spl0_93
| ~ spl0_166 ),
inference(sat_conversion,[],[f6617]) ).
cnf(s610,plain,
( ~ spl0_73
| ~ spl0_207
| ~ spl0_236 ),
inference(sat_conversion,[],[f6634]) ).
cnf(s613,plain,
( ~ spl0_73
| ~ spl0_194
| ~ spl0_205 ),
inference(sat_conversion,[],[f6644]) ).
cnf(s618,plain,
( spl0_4
| spl0_71
| ~ spl0_74
| spl0_93 ),
inference(sat_conversion,[],[f6667]) ).
cnf(s621,plain,
( spl0_4
| ~ spl0_14
| spl0_47
| spl0_93
| ~ spl0_157 ),
inference(sat_conversion,[],[f6672]) ).
cnf(s668,plain,
~ spl0_93,
inference(sat_conversion,[],[f6933]) ).
cnf(s681,plain,
( ~ spl0_21
| ~ spl0_71
| ~ spl0_81 ),
inference(sat_conversion,[],[f6951]) ).
cnf(s682,plain,
( ~ spl0_55
| ~ spl0_74
| spl0_157 ),
inference(sat_conversion,[],[f6952]) ).
cnf(s683,plain,
( ~ spl0_71
| ~ spl0_209
| ~ spl0_236 ),
inference(sat_conversion,[],[f6954]) ).
cnf(s687,plain,
( spl0_15
| ~ spl0_21
| spl0_57
| ~ spl0_71
| ~ spl0_74 ),
inference(sat_conversion,[],[f6962]) ).
cnf(s688,plain,
( ~ spl0_39
| ~ spl0_107
| ~ spl0_185 ),
inference(sat_conversion,[],[f6963]) ).
cnf(s692,plain,
( ~ spl0_71
| ~ spl0_156
| spl0_185
| ~ spl0_209 ),
inference(sat_conversion,[],[f6974]) ).
cnf(s698,plain,
( spl0_15
| ~ spl0_21
| spl0_57
| ~ spl0_71
| ~ spl0_166 ),
inference(sat_conversion,[],[f6983]) ).
cnf(s713,plain,
( ~ spl0_12
| ~ spl0_60
| spl0_62
| spl0_81 ),
inference(sat_conversion,[],[f7066]) ).
cnf(s721,plain,
( ~ spl0_89
| spl0_187 ),
inference(sat_conversion,[],[f7100]) ).
cnf(s722,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f7102]) ).
cnf(s737,plain,
~ spl0_230,
inference(sat_conversion,[],[f7287]) ).
cnf(s744,plain,
( ~ spl0_12
| spl0_112
| ~ spl0_218
| spl0_221 ),
inference(sat_conversion,[],[f7373]) ).
cnf(s745,plain,
( ~ spl0_13
| spl0_111
| spl0_112
| ~ spl0_218 ),
inference(sat_conversion,[],[f7374]) ).
cnf(s746,plain,
( ~ spl0_77
| spl0_110
| ~ spl0_218
| spl0_221 ),
inference(sat_conversion,[],[f7375]) ).
cnf(s747,plain,
( ~ spl0_79
| spl0_110
| ~ spl0_218
| spl0_219 ),
inference(sat_conversion,[],[f7376]) ).
cnf(s769,plain,
( spl0_73
| ~ spl0_184
| spl0_187
| spl0_219 ),
inference(sat_conversion,[],[f7524]) ).
cnf(s773,plain,
( ~ spl0_62
| ~ spl0_184
| ~ spl0_218 ),
inference(sat_conversion,[],[f7551]) ).
cnf(s774,plain,
( ~ spl0_54
| ~ spl0_62
| spl0_165 ),
inference(sat_conversion,[],[f7553]) ).
cnf(s776,plain,
( ~ spl0_172
| ~ spl0_195
| ~ spl0_222 ),
inference(sat_conversion,[],[f7591]) ).
cnf(s782,plain,
( ~ spl0_156
| spl0_179
| ~ spl0_183
| spl0_185 ),
inference(sat_conversion,[],[f7619]) ).
cnf(s785,plain,
( ~ spl0_85
| ~ spl0_109
| ~ spl0_184 ),
inference(sat_conversion,[],[f7645]) ).
cnf(s787,plain,
( ~ spl0_171
| ~ spl0_185
| ~ spl0_205 ),
inference(sat_conversion,[],[f7670]) ).
cnf(s789,plain,
( ~ spl0_156
| ~ spl0_171
| spl0_179
| spl0_185 ),
inference(sat_conversion,[],[f7672]) ).
cnf(s794,plain,
( ~ spl0_29
| ~ spl0_113
| ~ spl0_200 ),
inference(sat_conversion,[],[f7717]) ).
cnf(s796,plain,
( ~ spl0_54
| spl0_113
| spl0_193 ),
inference(sat_conversion,[],[f7719]) ).
cnf(s797,plain,
( spl0_113
| ~ spl0_183
| spl0_186 ),
inference(sat_conversion,[],[f7720]) ).
cnf(s799,plain,
( ~ spl0_85
| ~ spl0_114
| ~ spl0_193 ),
inference(sat_conversion,[],[f7764]) ).
cnf(s810,plain,
( ~ spl0_105
| ~ spl0_108
| ~ spl0_183 ),
inference(sat_conversion,[],[f7787]) ).
cnf(s817,plain,
( ~ spl0_108
| ~ spl0_171
| ~ spl0_204 ),
inference(sat_conversion,[],[f7860]) ).
cnf(s818,plain,
( spl0_93
| spl0_109
| spl0_112 ),
inference(sat_conversion,[],[f7861]) ).
cnf(s822,plain,
( ~ spl0_58
| spl0_236
| ~ spl0_249 ),
inference(sat_conversion,[],[f7868]) ).
cnf(s828,plain,
( ~ spl0_39
| ~ spl0_71
| ~ spl0_73 ),
inference(sat_conversion,[],[f7875]) ).
cnf(s831,plain,
( ~ spl0_54
| spl0_76
| spl0_77 ),
inference(sat_conversion,[],[f7884]) ).
cnf(s845,plain,
( ~ spl0_7
| ~ spl0_11
| spl0_69
| ~ spl0_105 ),
inference(sat_conversion,[],[f7925]) ).
cnf(s852,plain,
( ~ spl0_13
| ~ spl0_60
| spl0_81
| spl0_85 ),
inference(sat_conversion,[],[f7986]) ).
cnf(s875,plain,
( ~ spl0_62
| ~ spl0_193
| ~ spl0_199 ),
inference(sat_conversion,[],[f8139]) ).
cnf(s876,plain,
( ~ spl0_21
| ~ spl0_107
| ~ spl0_108 ),
inference(sat_conversion,[],[f8141]) ).
cnf(s878,plain,
( ~ spl0_1
| ~ spl0_47 ),
inference(sat_conversion,[],[f8150]) ).
cnf(s879,plain,
( ~ spl0_11
| ~ spl0_47 ),
inference(sat_conversion,[],[f8154]) ).
cnf(s883,plain,
( ~ spl0_6
| ~ spl0_62
| spl0_69 ),
inference(sat_conversion,[],[f8162]) ).
cnf(s884,plain,
( ~ spl0_14
| ~ spl0_55
| ~ spl0_104 ),
inference(sat_conversion,[],[f8164]) ).
cnf(s893,plain,
( spl0_55
| spl0_57
| spl0_276 ),
inference(sat_conversion,[],[f8182]) ).
cnf(s897,plain,
( ~ spl0_96
| spl0_276 ),
inference(sat_conversion,[],[f8247]) ).
cnf(s905,plain,
( ~ spl0_9
| spl0_180
| ~ spl0_249 ),
inference(sat_conversion,[],[f8317]) ).
cnf(s922,plain,
( ~ spl0_97
| ~ spl0_187
| ~ spl0_232 ),
inference(sat_conversion,[],[f8366]) ).
cnf(s929,plain,
( ~ spl0_14
| ~ spl0_19 ),
inference(sat_conversion,[],[f8395]) ).
cnf(s937,plain,
( ~ spl0_107
| ~ spl0_208 ),
inference(sat_conversion,[],[f8480]) ).
cnf(s938,plain,
( ~ spl0_185
| ~ spl0_208 ),
inference(sat_conversion,[],[f8484]) ).
cnf(s940,plain,
( ~ spl0_9
| ~ spl0_33
| ~ spl0_47 ),
inference(sat_conversion,[],[f8501]) ).
cnf(s948,plain,
( ~ spl0_9
| ~ spl0_47
| ~ spl0_222 ),
inference(sat_conversion,[],[f8571]) ).
cnf(s959,plain,
( ~ spl0_106
| ~ spl0_109
| ~ spl0_177 ),
inference(sat_conversion,[],[f8703]) ).
cnf(s960,plain,
( ~ spl0_23
| ~ spl0_47
| ~ spl0_106 ),
inference(sat_conversion,[],[f8706]) ).
cnf(s961,plain,
( ~ spl0_65
| ~ spl0_106
| spl0_236 ),
inference(sat_conversion,[],[f8707]) ).
cnf(s966,plain,
( ~ spl0_18
| spl0_96
| ~ spl0_97 ),
inference(sat_conversion,[],[f8728]) ).
cnf(s980,plain,
( ~ spl0_47
| ~ spl0_76 ),
inference(sat_conversion,[],[f8829]) ).
cnf(s981,plain,
( ~ spl0_172
| spl0_192
| ~ spl0_193
| spl0_194 ),
inference(sat_conversion,[],[f8830]) ).
cnf(s994,plain,
( ~ spl0_9
| spl0_198
| ~ spl0_222 ),
inference(sat_conversion,[],[f8988]) ).
cnf(s1003,plain,
( ~ spl0_32
| ~ spl0_76
| ~ spl0_206 ),
inference(sat_conversion,[],[f9041]) ).
cnf(s1009,plain,
( ~ spl0_19
| ~ spl0_29
| ~ spl0_221 ),
inference(sat_conversion,[],[f9099]) ).
cnf(s1012,plain,
( ~ spl0_19
| spl0_27 ),
inference(sat_conversion,[],[f9113]) ).
cnf(s1016,plain,
( ~ spl0_32
| ~ spl0_52
| spl0_90 ),
inference(sat_conversion,[],[f9121]) ).
cnf(s1021,plain,
( ~ spl0_181
| ~ spl0_187 ),
inference(sat_conversion,[],[f9147]) ).
cnf(s1022,plain,
( ~ spl0_181
| spl0_184 ),
inference(sat_conversion,[],[f9150]) ).
cnf(s1046,plain,
( ~ spl0_104
| ~ spl0_107
| ~ spl0_183 ),
inference(sat_conversion,[],[f9365]) ).
cnf(s1048,plain,
( ~ spl0_97
| ~ spl0_183
| ~ spl0_185 ),
inference(sat_conversion,[],[f9368]) ).
cnf(s1057,plain,
( ~ spl0_11
| ~ spl0_198
| ~ spl0_204 ),
inference(sat_conversion,[],[f9449]) ).
cnf(s1060,plain,
( spl0_15
| ~ spl0_19
| spl0_290 ),
inference(sat_conversion,[],[f9463]) ).
cnf(s1063,plain,
( spl0_71
| ~ spl0_184
| ~ spl0_218
| spl0_219 ),
inference(sat_conversion,[],[f9485]) ).
cnf(s1064,plain,
( spl0_76
| ~ spl0_184
| ~ spl0_218
| spl0_221 ),
inference(sat_conversion,[],[f9486]) ).
cnf(s1089,plain,
( ~ spl0_11
| ~ spl0_180
| ~ spl0_186 ),
inference(sat_conversion,[],[f9692]) ).
cnf(s1098,plain,
( ~ spl0_172
| ~ spl0_193
| ~ spl0_219 ),
inference(sat_conversion,[],[f9759]) ).
cnf(s1107,plain,
( ~ spl0_21
| ~ spl0_112
| ~ spl0_115 ),
inference(sat_conversion,[],[f9798]) ).
cnf(s1113,plain,
( ~ spl0_96
| ~ spl0_110
| ~ spl0_219 ),
inference(sat_conversion,[],[f9804]) ).
cnf(s1120,plain,
( ~ spl0_89
| spl0_185 ),
inference(sat_conversion,[],[f9846]) ).
cnf(s1127,plain,
( spl0_193
| ~ spl0_208 ),
inference(sat_conversion,[],[f9911]) ).
cnf(s1132,plain,
( ~ spl0_108
| ~ spl0_208 ),
inference(sat_conversion,[],[f9977]) ).
cnf(s1135,plain,
( ~ spl0_28
| ~ spl0_113
| ~ spl0_249 ),
inference(sat_conversion,[],[f10066]) ).
cnf(s1136,plain,
( ~ spl0_19
| ~ spl0_28
| ~ spl0_249 ),
inference(sat_conversion,[],[f10067]) ).
cnf(s1141,plain,
( ~ spl0_47
| ~ spl0_198 ),
inference(sat_conversion,[],[f10078]) ).
cnf(s1142,plain,
( ~ spl0_47
| ~ spl0_180 ),
inference(sat_conversion,[],[f10083]) ).
cnf(s1146,plain,
( ~ spl0_90
| spl0_193 ),
inference(sat_conversion,[],[f10095]) ).
cnf(s1150,plain,
( spl0_4
| ~ spl0_47
| spl0_294 ),
inference(sat_conversion,[],[f10102]) ).
cnf(s1166,plain,
( spl0_15
| spl0_18
| spl0_26
| ~ spl0_294 ),
inference(sat_conversion,[],[f10342]) ).
cnf(s1193,plain,
~ spl0_26,
inference(sat_conversion,[],[f10515]) ).
cnf(s1198,plain,
( ~ spl0_6
| spl0_15
| ~ spl0_23
| ~ spl0_47
| spl0_298 ),
inference(sat_conversion,[],[f10575]) ).
cnf(s1210,plain,
( ~ spl0_110
| spl0_295 ),
inference(sat_conversion,[],[f10724]) ).
cnf(s1213,plain,
( ~ spl0_31
| spl0_297 ),
inference(sat_conversion,[],[f10742]) ).
cnf(s1214,plain,
( ~ spl0_47
| ~ spl0_91
| ~ spl0_219 ),
inference(sat_conversion,[],[f10761]) ).
cnf(s1219,plain,
( ~ spl0_91
| spl0_198
| ~ spl0_219 ),
inference(sat_conversion,[],[f10766]) ).
cnf(s1228,plain,
( ~ spl0_60
| ~ spl0_200
| spl0_236 ),
inference(sat_conversion,[],[f10865]) ).
cnf(s1257,plain,
( ~ spl0_66
| ~ spl0_308
| spl0_316 ),
inference(sat_conversion,[],[f11102]) ).
cnf(s1258,plain,
( spl0_308
| spl0_314 ),
inference(sat_conversion,[],[f11108]) ).
cnf(s1267,plain,
( ~ spl0_176
| spl0_180
| spl0_324
| ~ spl0_325 ),
inference(sat_conversion,[],[f11224]) ).
cnf(s1270,plain,
( ~ spl0_176
| ~ spl0_200
| ~ spl0_325 ),
inference(sat_conversion,[],[f11238]) ).
cnf(s1271,plain,
( spl0_304
| spl0_325 ),
inference(sat_conversion,[],[f11245]) ).
cnf(s1272,plain,
( spl0_304
| spl0_325
| spl0_327 ),
inference(sat_conversion,[],[f11250]) ).
cnf(s1280,plain,
( ~ spl0_55
| spl0_113
| ~ spl0_179 ),
inference(sat_conversion,[],[f11291]) ).
cnf(s1281,plain,
( ~ spl0_177
| ~ spl0_184
| ~ spl0_192 ),
inference(sat_conversion,[],[f11317]) ).
cnf(s1283,plain,
( ~ spl0_115
| ~ spl0_178
| ~ spl0_209 ),
inference(sat_conversion,[],[f11355]) ).
cnf(s1284,plain,
( ~ spl0_48
| ~ spl0_115
| ~ spl0_178
| spl0_185 ),
inference(sat_conversion,[],[f11391]) ).
cnf(s1288,plain,
( ~ spl0_180
| ~ spl0_182
| ~ spl0_198 ),
inference(sat_conversion,[],[f11421]) ).
cnf(s1293,plain,
( ~ spl0_66
| ~ spl0_303 ),
inference(sat_conversion,[],[f11479]) ).
cnf(s1298,plain,
( ~ spl0_81
| ~ spl0_100
| spl0_185
| ~ spl0_236 ),
inference(sat_conversion,[],[f11575]) ).
cnf(s1299,plain,
( ~ spl0_11
| ~ spl0_100
| ~ spl0_180
| spl0_185 ),
inference(sat_conversion,[],[f11577]) ).
cnf(s1304,plain,
( ~ spl0_102
| ~ spl0_115
| ~ spl0_178
| spl0_185 ),
inference(sat_conversion,[],[f11682]) ).
cnf(s1311,plain,
( ~ spl0_11
| ~ spl0_317
| ~ spl0_321 ),
inference(sat_conversion,[],[f11794]) ).
cnf(s1316,plain,
( ~ spl0_305
| ~ spl0_318
| spl0_329 ),
inference(sat_conversion,[],[f11851]) ).
cnf(s1321,plain,
( ~ spl0_109
| spl0_111
| ~ spl0_184
| ~ spl0_276 ),
inference(sat_conversion,[],[f11939]) ).
cnf(s1325,plain,
( ~ spl0_27
| ~ spl0_65
| spl0_156 ),
inference(sat_conversion,[],[f11987]) ).
cnf(s1350,plain,
( spl0_112
| ~ spl0_163
| ~ spl0_218 ),
inference(sat_conversion,[],[f12108]) ).
cnf(s1361,plain,
( spl0_110
| ~ spl0_112
| spl0_204 ),
inference(sat_conversion,[],[f12167]) ).
cnf(s1363,plain,
( ~ spl0_65
| ~ spl0_148
| spl0_156 ),
inference(sat_conversion,[],[f12218]) ).
cnf(s1373,plain,
( ~ spl0_96
| ~ spl0_189
| ~ spl0_208
| spl0_296 ),
inference(sat_conversion,[],[f12333]) ).
cnf(s1374,plain,
( ~ spl0_14
| ~ spl0_146
| spl0_198
| ~ spl0_296 ),
inference(sat_conversion,[],[f12349]) ).
cnf(s1379,plain,
( ~ spl0_205
| ~ spl0_308
| ~ spl0_335 ),
inference(sat_conversion,[],[f12385]) ).
cnf(s1401,plain,
( ~ spl0_296
| spl0_318
| ~ spl0_337 ),
inference(sat_conversion,[],[f12577]) ).
cnf(s1404,plain,
( spl0_1
| spl0_4
| ~ spl0_290 ),
inference(sat_conversion,[],[f12642]) ).
cnf(s1405,plain,
( spl0_198
| ~ spl0_218
| spl0_340 ),
inference(sat_conversion,[],[f12662]) ).
cnf(s1406,plain,
( spl0_194
| ~ spl0_218
| spl0_341 ),
inference(sat_conversion,[],[f12666]) ).
cnf(s1410,plain,
( spl0_228
| spl0_335
| spl0_342 ),
inference(sat_conversion,[],[f12746]) ).
cnf(s1412,plain,
( spl0_227
| spl0_335
| spl0_342 ),
inference(sat_conversion,[],[f12748]) ).
cnf(s1415,plain,
( ~ spl0_60
| ~ spl0_91
| spl0_194
| ~ spl0_340 ),
inference(sat_conversion,[],[f12751]) ).
cnf(s1418,plain,
( ~ spl0_60
| spl0_81
| ~ spl0_163 ),
inference(sat_conversion,[],[f12824]) ).
cnf(s1460,plain,
( spl0_180
| spl0_331 ),
inference(sat_conversion,[],[f13260]) ).
cnf(s1463,plain,
( spl0_236
| spl0_330 ),
inference(sat_conversion,[],[f13267]) ).
cnf(s1465,plain,
( ~ spl0_63
| ~ spl0_91
| spl0_94 ),
inference(sat_conversion,[],[f13270]) ).
cnf(s1466,plain,
( spl0_110
| spl0_296 ),
inference(sat_conversion,[],[f13271]) ).
cnf(s1469,plain,
( spl0_228
| spl0_236
| spl0_330 ),
inference(sat_conversion,[],[f13274]) ).
cnf(s1500,plain,
( spl0_1
| ~ spl0_181
| ~ spl0_218
| spl0_221 ),
inference(sat_conversion,[],[f13420]) ).
cnf(s1507,plain,
( ~ spl0_108
| spl0_186
| ~ spl0_305
| ~ spl0_318 ),
inference(sat_conversion,[],[f13491]) ).
cnf(s1509,plain,
( spl0_26
| spl0_194
| spl0_347 ),
inference(sat_conversion,[],[f13513]) ).
cnf(s1511,plain,
( spl0_194
| spl0_347 ),
inference(sat_conversion,[],[f13517]) ).
cnf(s1512,plain,
( spl0_57
| spl0_194
| spl0_347 ),
inference(sat_conversion,[],[f13518]) ).
cnf(s1515,plain,
( spl0_198
| spl0_346 ),
inference(sat_conversion,[],[f13520]) ).
cnf(s1516,plain,
( ~ spl0_14
| spl0_318
| ~ spl0_333 ),
inference(sat_conversion,[],[f13521]) ).
cnf(s1517,plain,
( ~ spl0_115
| ~ spl0_181 ),
inference(sat_conversion,[],[f13524]) ).
cnf(s1518,plain,
( ~ spl0_178
| ~ spl0_181 ),
inference(sat_conversion,[],[f13526]) ).
cnf(s1533,plain,
( ~ spl0_71
| ~ spl0_194
| ~ spl0_211 ),
inference(sat_conversion,[],[f13709]) ).
cnf(s1542,plain,
( ~ spl0_21
| ~ spl0_108
| ~ spl0_177
| spl0_191
| ~ spl0_218 ),
inference(sat_conversion,[],[f13810]) ).
cnf(s1545,plain,
( ~ spl0_71
| ~ spl0_312
| ~ spl0_333 ),
inference(sat_conversion,[],[f13829]) ).
cnf(s1546,plain,
( ~ spl0_73
| ~ spl0_312
| ~ spl0_316 ),
inference(sat_conversion,[],[f13831]) ).
cnf(s1548,plain,
( ~ spl0_302
| ~ spl0_335 ),
inference(sat_conversion,[],[f13847]) ).
cnf(s1553,plain,
( ~ spl0_21
| ~ spl0_108
| ~ spl0_176
| spl0_305
| ~ spl0_325 ),
inference(sat_conversion,[],[f13960]) ).
cnf(s1554,plain,
( ~ spl0_176
| spl0_185
| ~ spl0_302
| spl0_305 ),
inference(sat_conversion,[],[f13963]) ).
cnf(s1559,plain,
( ~ spl0_176
| ~ spl0_191
| ~ spl0_342 ),
inference(sat_conversion,[],[f14004]) ).
cnf(s1564,plain,
( spl0_107
| ~ spl0_176
| spl0_305
| ~ spl0_325 ),
inference(sat_conversion,[],[f14011]) ).
cnf(s1565,plain,
( spl0_108
| ~ spl0_176
| spl0_305
| ~ spl0_326 ),
inference(sat_conversion,[],[f14014]) ).
cnf(s1575,plain,
( ~ spl0_176
| spl0_185
| spl0_305
| spl0_308 ),
inference(sat_conversion,[],[f14031]) ).
cnf(s1599,plain,
( ~ spl0_66
| ~ spl0_304
| spl0_316 ),
inference(sat_conversion,[],[f14235]) ).
cnf(s1608,plain,
( ~ spl0_52
| ~ spl0_76
| ~ spl0_180
| spl0_193 ),
inference(sat_conversion,[],[f14246]) ).
cnf(s1614,plain,
( ~ spl0_104
| spl0_356 ),
inference(sat_conversion,[],[f14257]) ).
cnf(s1616,plain,
( ~ spl0_60
| spl0_312
| ~ spl0_324 ),
inference(sat_conversion,[],[f14259]) ).
cnf(s1619,plain,
( ~ spl0_7
| spl0_69
| spl0_76 ),
inference(sat_conversion,[],[f14289]) ).
cnf(s1621,plain,
( ~ spl0_36
| spl0_69
| spl0_76
| spl0_93 ),
inference(sat_conversion,[],[f14292]) ).
cnf(s1631,plain,
( ~ spl0_302
| ~ spl0_304 ),
inference(sat_conversion,[],[f14417]) ).
cnf(s1639,plain,
( ~ spl0_104
| ~ spl0_115
| ~ spl0_232 ),
inference(sat_conversion,[],[f14472]) ).
cnf(s1653,plain,
( ~ spl0_9
| spl0_36
| ~ spl0_60
| spl0_73 ),
inference(sat_conversion,[],[f14500]) ).
cnf(s1684,plain,
( ~ spl0_52
| ~ spl0_55
| spl0_193
| ~ spl0_329 ),
inference(sat_conversion,[],[f14736]) ).
cnf(s1705,plain,
( spl0_115
| ~ spl0_172
| spl0_191
| ~ spl0_199 ),
inference(sat_conversion,[],[f14950]) ).
cnf(s1706,plain,
( ~ spl0_172
| spl0_198
| ~ spl0_199
| spl0_200 ),
inference(sat_conversion,[],[f14955]) ).
cnf(s1707,plain,
( ~ spl0_172
| spl0_185
| ~ spl0_196
| spl0_197 ),
inference(sat_conversion,[],[f14956]) ).
cnf(s1725,plain,
( ~ spl0_172
| spl0_185
| spl0_187
| spl0_191 ),
inference(sat_conversion,[],[f15046]) ).
cnf(s1732,plain,
( ~ spl0_8
| ~ spl0_58
| ~ spl0_60 ),
inference(sat_conversion,[],[f15075]) ).
cnf(s1736,plain,
( spl0_71
| spl0_192
| ~ spl0_193
| ~ spl0_199 ),
inference(sat_conversion,[],[f15079]) ).
cnf(s1743,plain,
( ~ spl0_172
| ~ spl0_199
| ~ spl0_330
| ~ spl0_341 ),
inference(sat_conversion,[],[f15087]) ).
cnf(s1786,plain,
( ~ spl0_176
| spl0_236
| spl0_350
| ~ spl0_355 ),
inference(sat_conversion,[],[f15516]) ).
cnf(s1789,plain,
( ~ spl0_19
| ~ spl0_192 ),
inference(sat_conversion,[],[f15543]) ).
cnf(s1790,plain,
( ~ spl0_176
| ~ spl0_192
| ~ spl0_355 ),
inference(sat_conversion,[],[f15544]) ).
cnf(s1791,plain,
( ~ spl0_85
| ~ spl0_302
| ~ spl0_326 ),
inference(sat_conversion,[],[f15595]) ).
cnf(s1793,plain,
( ~ spl0_58
| spl0_74
| ~ spl0_302 ),
inference(sat_conversion,[],[f15604]) ).
cnf(s1798,plain,
( spl0_69
| spl0_166
| ~ spl0_302 ),
inference(sat_conversion,[],[f15628]) ).
cnf(s1799,plain,
( spl0_73
| spl0_166
| ~ spl0_302 ),
inference(sat_conversion,[],[f15629]) ).
cnf(s1800,plain,
( ~ spl0_302
| ~ spl0_308 ),
inference(sat_conversion,[],[f15631]) ).
cnf(s1804,plain,
( ~ spl0_302
| spl0_326 ),
inference(sat_conversion,[],[f15652]) ).
cnf(s1807,plain,
( ~ spl0_65
| spl0_312
| ~ spl0_322 ),
inference(sat_conversion,[],[f15655]) ).
cnf(s1809,plain,
( ~ spl0_18
| ~ spl0_316
| spl0_318 ),
inference(sat_conversion,[],[f15657]) ).
cnf(s1811,plain,
( ~ spl0_29
| ~ spl0_65
| ~ spl0_110
| ~ spl0_341 ),
inference(sat_conversion,[],[f15659]) ).
cnf(s1813,plain,
( ~ spl0_18
| spl0_113
| ~ spl0_207 ),
inference(sat_conversion,[],[f15661]) ).
cnf(s1814,plain,
( ~ spl0_302
| spl0_355 ),
inference(sat_conversion,[],[f15664]) ).
cnf(s1817,plain,
( ~ spl0_176
| spl0_180
| spl0_324
| ~ spl0_325 ),
inference(sat_conversion,[],[f15667]) ).
cnf(s1841,plain,
( spl0_15
| ~ spl0_58
| ~ spl0_65
| spl0_67 ),
inference(sat_conversion,[],[f15862]) ).
cnf(s1842,plain,
( spl0_15
| ~ spl0_65
| spl0_73
| spl0_251 ),
inference(sat_conversion,[],[f15865]) ).
cnf(s1846,plain,
( ~ spl0_20
| ~ spl0_108
| ~ spl0_185 ),
inference(sat_conversion,[],[f15910]) ).
cnf(s1868,plain,
( ~ spl0_9
| ~ spl0_67
| ~ spl0_91 ),
inference(sat_conversion,[],[f16013]) ).
cnf(s1870,plain,
( ~ spl0_9
| ~ spl0_47
| ~ spl0_67 ),
inference(sat_conversion,[],[f16016]) ).
cnf(s1874,plain,
( ~ spl0_62
| spl0_299 ),
inference(sat_conversion,[],[f16089]) ).
cnf(s1875,plain,
( ~ spl0_62
| ~ spl0_302
| ~ spl0_325 ),
inference(sat_conversion,[],[f16090]) ).
cnf(s1883,plain,
( ~ spl0_9
| ~ spl0_47
| ~ spl0_364 ),
inference(sat_conversion,[],[f16163]) ).
cnf(s1884,plain,
( ~ spl0_81
| ~ spl0_186
| ~ spl0_236 ),
inference(sat_conversion,[],[f16175]) ).
cnf(s1888,plain,
( ~ spl0_55
| ~ spl0_179
| ~ spl0_329 ),
inference(sat_conversion,[],[f16240]) ).
cnf(s1919,plain,
~ spl0_214,
inference(sat_conversion,[],[f16427]) ).
cnf(s1921,plain,
( ~ spl0_81
| ~ spl0_312
| ~ spl0_317 ),
inference(sat_conversion,[],[f16442]) ).
cnf(s1922,plain,
( ~ spl0_174
| ~ spl0_193
| ~ spl0_350 ),
inference(sat_conversion,[],[f16467]) ).
cnf(s1923,plain,
( ~ spl0_47
| ~ spl0_91
| ~ spl0_350 ),
inference(sat_conversion,[],[f16470]) ).
cnf(s1924,plain,
( spl0_215
| spl0_355
| spl0_371 ),
inference(sat_conversion,[],[f16487]) ).
cnf(s1928,plain,
( ~ spl0_66
| spl0_316
| ~ spl0_371 ),
inference(sat_conversion,[],[f16502]) ).
cnf(s1939,plain,
( ~ spl0_24
| ~ spl0_27
| spl0_121 ),
inference(sat_conversion,[],[f16627]) ).
cnf(s1940,plain,
( ~ spl0_23
| ~ spl0_27
| spl0_73
| ~ spl0_91 ),
inference(sat_conversion,[],[f16631]) ).
cnf(s1941,plain,
( ~ spl0_115
| spl0_184
| ~ spl0_356 ),
inference(sat_conversion,[],[f16640]) ).
cnf(s1942,plain,
( ~ spl0_81
| ~ spl0_160
| spl0_304
| ~ spl0_312 ),
inference(sat_conversion,[],[f16660]) ).
cnf(s1943,plain,
( ~ spl0_174
| spl0_192
| ~ spl0_193
| spl0_312 ),
inference(sat_conversion,[],[f16662]) ).
cnf(s1944,plain,
( ~ spl0_47
| ~ spl0_91
| ~ spl0_192 ),
inference(sat_conversion,[],[f16685]) ).
cnf(s1946,plain,
( ~ spl0_24
| spl0_33
| spl0_69
| ~ spl0_276 ),
inference(sat_conversion,[],[f16760]) ).
cnf(s1949,plain,
( ~ spl0_113
| ~ spl0_176
| spl0_322
| ~ spl0_326 ),
inference(sat_conversion,[],[f16836]) ).
cnf(s1950,plain,
( ~ spl0_109
| spl0_111
| ~ spl0_113
| ~ spl0_177 ),
inference(sat_conversion,[],[f16837]) ).
cnf(s1951,plain,
( spl0_113
| spl0_329 ),
inference(sat_conversion,[],[f16838]) ).
cnf(s1952,plain,
( ~ spl0_177
| spl0_219
| spl0_236
| ~ spl0_347 ),
inference(sat_conversion,[],[f16891]) ).
cnf(s1953,plain,
( ~ spl0_176
| ~ spl0_177
| ~ spl0_342
| spl0_373 ),
inference(sat_conversion,[],[f16895]) ).
cnf(s1954,plain,
( ~ spl0_172
| ~ spl0_174
| ~ spl0_373 ),
inference(sat_conversion,[],[f16925]) ).
cnf(s1955,plain,
( ~ spl0_110
| ~ spl0_318
| ~ spl0_373 ),
inference(sat_conversion,[],[f16928]) ).
cnf(s1956,plain,
( ~ spl0_47
| ~ spl0_346
| ~ spl0_373 ),
inference(sat_conversion,[],[f16929]) ).
cnf(s1959,plain,
( ~ spl0_174
| ~ spl0_199
| ~ spl0_324 ),
inference(sat_conversion,[],[f16937]) ).
cnf(s1960,plain,
( ~ spl0_174
| ~ spl0_199
| spl0_200
| spl0_321 ),
inference(sat_conversion,[],[f16938]) ).
cnf(s1964,plain,
( spl0_106
| ~ spl0_114
| ~ spl0_172
| ~ spl0_295 ),
inference(sat_conversion,[],[f16942]) ).
cnf(s1969,plain,
( ~ spl0_114
| ~ spl0_174
| spl0_305
| spl0_310 ),
inference(sat_conversion,[],[f16950]) ).
cnf(s1970,plain,
( ~ spl0_174
| ~ spl0_199
| spl0_304
| spl0_305 ),
inference(sat_conversion,[],[f16951]) ).
cnf(s1972,plain,
( ~ spl0_174
| spl0_185
| spl0_305
| spl0_308 ),
inference(sat_conversion,[],[f16954]) ).
cnf(s1973,plain,
( ~ spl0_172
| spl0_192
| ~ spl0_193
| spl0_194 ),
inference(sat_conversion,[],[f16955]) ).
cnf(s1974,plain,
( ~ spl0_55
| spl0_318
| ~ spl0_352 ),
inference(sat_conversion,[],[f16956]) ).
cnf(s2017,plain,
~ spl0_210,
inference(sat_conversion,[],[f17172]) ).
cnf(s2027,plain,
( spl0_181
| ~ spl0_198
| spl0_211 ),
inference(sat_conversion,[],[f17248]) ).
cnf(s2028,plain,
( ~ spl0_52
| ~ spl0_76
| spl0_184
| ~ spl0_198 ),
inference(sat_conversion,[],[f17250]) ).
cnf(s2043,plain,
( ~ spl0_52
| spl0_69
| ~ spl0_76
| ~ spl0_314
| ~ spl0_321
| spl0_364 ),
inference(sat_conversion,[],[f17515]) ).
cnf(s2050,plain,
( ~ spl0_114
| ~ spl0_174
| ~ spl0_322 ),
inference(sat_conversion,[],[f17617]) ).
cnf(s2053,plain,
( ~ spl0_23
| ~ spl0_29
| ~ spl0_110
| ~ spl0_340 ),
inference(sat_conversion,[],[f17659]) ).
cnf(s2055,plain,
( ~ spl0_184
| spl0_194
| spl0_378 ),
inference(sat_conversion,[],[f17730]) ).
cnf(s2056,plain,
( ~ spl0_172
| ~ spl0_184
| spl0_189 ),
inference(sat_conversion,[],[f17731]) ).
cnf(s2058,plain,
( ~ spl0_174
| ~ spl0_189
| ~ spl0_342
| ~ spl0_355 ),
inference(sat_conversion,[],[f17795]) ).
cnf(s2060,plain,
( spl0_355
| spl0_371
| spl0_372 ),
inference(sat_conversion,[],[f17806]) ).
cnf(s2061,plain,
( spl0_215
| spl0_355
| spl0_371 ),
inference(sat_conversion,[],[f17807]) ).
cnf(s2063,plain,
( ~ spl0_104
| ~ spl0_304
| ~ spl0_371 ),
inference(sat_conversion,[],[f17819]) ).
cnf(s2065,plain,
( ~ spl0_192
| ~ spl0_268
| spl0_379 ),
inference(sat_conversion,[],[f17824]) ).
cnf(s2068,plain,
( ~ spl0_305
| spl0_312
| ~ spl0_330 ),
inference(sat_conversion,[],[f17830]) ).
cnf(s2069,plain,
( ~ spl0_65
| spl0_85
| spl0_194
| ~ spl0_295 ),
inference(sat_conversion,[],[f17831]) ).
cnf(s2074,plain,
( spl0_106
| ~ spl0_114
| ~ spl0_174
| ~ spl0_318 ),
inference(sat_conversion,[],[f17845]) ).
cnf(s2075,plain,
( ~ spl0_58
| ~ spl0_268
| ~ spl0_378
| spl0_384 ),
inference(sat_conversion,[],[f17849]) ).
cnf(s2078,plain,
( ~ spl0_24
| spl0_33
| ~ spl0_318
| spl0_381 ),
inference(sat_conversion,[],[f17853]) ).
cnf(s2080,plain,
( ~ spl0_174
| ~ spl0_195
| spl0_249
| spl0_381 ),
inference(sat_conversion,[],[f17856]) ).
cnf(s2082,plain,
( ~ spl0_172
| ~ spl0_195
| spl0_249
| spl0_384 ),
inference(sat_conversion,[],[f17862]) ).
cnf(s2083,plain,
( ~ spl0_65
| spl0_85
| spl0_312
| ~ spl0_318 ),
inference(sat_conversion,[],[f17864]) ).
cnf(s2086,plain,
( ~ spl0_196
| ~ spl0_243
| ~ spl0_268
| spl0_379 ),
inference(sat_conversion,[],[f17876]) ).
cnf(s2087,plain,
( ~ spl0_24
| spl0_33
| ~ spl0_295
| spl0_384 ),
inference(sat_conversion,[],[f17878]) ).
cnf(s2088,plain,
( ~ spl0_305
| spl0_321
| ~ spl0_331 ),
inference(sat_conversion,[],[f17879]) ).
cnf(s2092,plain,
( ~ spl0_191
| spl0_236
| ~ spl0_347 ),
inference(sat_conversion,[],[f17884]) ).
cnf(s2093,plain,
( ~ spl0_172
| ~ spl0_193
| ~ spl0_330
| ~ spl0_378 ),
inference(sat_conversion,[],[f17886]) ).
cnf(s2105,plain,
( ~ spl0_15
| ~ spl0_69
| ~ spl0_105 ),
inference(sat_conversion,[],[f17921]) ).
cnf(s2106,plain,
( spl0_180
| ~ spl0_191
| ~ spl0_346 ),
inference(sat_conversion,[],[f17923]) ).
cnf(s2110,plain,
( ~ spl0_91
| spl0_180
| ~ spl0_192 ),
inference(sat_conversion,[],[f17929]) ).
cnf(s2112,plain,
( ~ spl0_23
| spl0_31
| ~ spl0_318
| spl0_321 ),
inference(sat_conversion,[],[f17931]) ).
cnf(s2123,plain,
( ~ spl0_53
| spl0_85
| ~ spl0_96
| ~ spl0_110 ),
inference(sat_conversion,[],[f17956]) ).
cnf(s2135,plain,
( ~ spl0_4
| ~ spl0_211
| ~ spl0_384 ),
inference(sat_conversion,[],[f18057]) ).
cnf(s2138,plain,
( ~ spl0_53
| ~ spl0_236 ),
inference(sat_conversion,[],[f18063]) ).
cnf(s2139,plain,
( ~ spl0_96
| spl0_108
| ~ spl0_110
| ~ spl0_189 ),
inference(sat_conversion,[],[f18064]) ).
cnf(s2145,plain,
( spl0_4
| ~ spl0_58
| ~ spl0_60
| spl0_67 ),
inference(sat_conversion,[],[f18071]) ).
cnf(s2146,plain,
( ~ spl0_29
| spl0_304
| ~ spl0_318
| spl0_322 ),
inference(sat_conversion,[],[f18073]) ).
cnf(s2150,plain,
( ~ spl0_35
| ~ spl0_69 ),
inference(sat_conversion,[],[f18083]) ).
cnf(s2151,plain,
( spl0_317
| spl0_318
| ~ spl0_371 ),
inference(sat_conversion,[],[f18084]) ).
cnf(s2159,plain,
( spl0_1
| ~ spl0_60
| spl0_62
| spl0_73 ),
inference(sat_conversion,[],[f18105]) ).
cnf(s2160,plain,
( ~ spl0_35
| spl0_268 ),
inference(sat_conversion,[],[f18109]) ).
cnf(s2162,plain,
( ~ spl0_35
| spl0_42
| ~ spl0_60
| spl0_73 ),
inference(sat_conversion,[],[f18119]) ).
cnf(s2170,plain,
( ~ spl0_73
| spl0_96
| spl0_105 ),
inference(sat_conversion,[],[f18154]) ).
cnf(s2176,plain,
( ~ spl0_35
| spl0_71
| ~ spl0_124 ),
inference(sat_conversion,[],[f18175]) ).
cnf(s2190,plain,
( spl0_113
| ~ spl0_185
| spl0_186 ),
inference(sat_conversion,[],[f18304]) ).
cnf(s2191,plain,
( ~ spl0_35
| ~ spl0_379 ),
inference(sat_conversion,[],[f18310]) ).
cnf(s2197,plain,
( ~ spl0_29
| spl0_31
| spl0_76
| ~ spl0_96 ),
inference(sat_conversion,[],[f18317]) ).
cnf(s2201,plain,
( ~ spl0_29
| spl0_71
| spl0_85
| ~ spl0_96 ),
inference(sat_conversion,[],[f18322]) ).
cnf(s2205,plain,
( spl0_4
| spl0_26
| ~ spl0_170 ),
inference(sat_conversion,[],[f18352]) ).
cnf(s2212,plain,
( spl0_4
| ~ spl0_19
| ~ spl0_24
| ~ spl0_29
| spl0_397 ),
inference(sat_conversion,[],[f18413]) ).
cnf(s2213,plain,
( spl0_1
| ~ spl0_19
| ~ spl0_29
| spl0_31 ),
inference(sat_conversion,[],[f18416]) ).
cnf(s2227,plain,
( ~ spl0_19
| ~ spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f18532]) ).
cnf(s2233,plain,
( spl0_47
| ~ spl0_107
| spl0_209 ),
inference(sat_conversion,[],[f18569]) ).
cnf(s2244,plain,
( spl0_181
| ~ spl0_194
| spl0_206 ),
inference(sat_conversion,[],[f18652]) ).
cnf(s2253,plain,
( spl0_310
| spl0_326 ),
inference(sat_conversion,[],[f18713]) ).
cnf(s2254,plain,
( spl0_210
| spl0_310
| spl0_326 ),
inference(sat_conversion,[],[f18714]) ).
cnf(s2258,plain,
( ~ spl0_177
| ~ spl0_196
| spl0_222
| spl0_379 ),
inference(sat_conversion,[],[f18795]) ).
cnf(s2269,plain,
( ~ spl0_69
| ~ spl0_179
| ~ spl0_379 ),
inference(sat_conversion,[],[f18894]) ).
cnf(s2271,plain,
( ~ spl0_108
| ~ spl0_173
| ~ spl0_317 ),
inference(sat_conversion,[],[f18907]) ).
cnf(s2272,plain,
( ~ spl0_11
| ~ spl0_36
| ~ spl0_317
| spl0_327
| spl0_381 ),
inference(sat_conversion,[],[f18909]) ).
cnf(s2279,plain,
( ~ spl0_36
| ~ spl0_180
| ~ spl0_303
| spl0_327
| spl0_381 ),
inference(sat_conversion,[],[f19032]) ).
cnf(s2294,plain,
~ spl0_327,
inference(sat_conversion,[],[f19196]) ).
cnf(s2299,plain,
( ~ spl0_9
| ~ spl0_19
| ~ spl0_29
| spl0_36 ),
inference(sat_conversion,[],[f19203]) ).
cnf(s2304,plain,
( ~ spl0_206
| ~ spl0_335
| ~ spl0_371 ),
inference(sat_conversion,[],[f19227]) ).
cnf(s2307,plain,
( ~ spl0_211
| ~ spl0_304
| ~ spl0_335 ),
inference(sat_conversion,[],[f19231]) ).
cnf(s2308,plain,
( ~ spl0_42
| spl0_76
| spl0_93 ),
inference(sat_conversion,[],[f19250]) ).
cnf(s2310,plain,
( ~ spl0_69
| ~ spl0_352
| ~ spl0_381 ),
inference(sat_conversion,[],[f19257]) ).
cnf(s2315,plain,
~ spl0_372,
inference(sat_conversion,[],[f19385]) ).
cnf(s2317,plain,
( spl0_76
| ~ spl0_206
| spl0_324
| ~ spl0_325
| ~ spl0_335 ),
inference(sat_conversion,[],[f19425]) ).
cnf(s2320,plain,
( ~ spl0_173
| ~ spl0_185
| ~ spl0_316 ),
inference(sat_conversion,[],[f19443]) ).
cnf(s2323,plain,
( ~ spl0_24
| ~ spl0_322
| spl0_381 ),
inference(sat_conversion,[],[f19447]) ).
cnf(s2327,plain,
( ~ spl0_23
| spl0_321
| ~ spl0_322 ),
inference(sat_conversion,[],[f19452]) ).
cnf(s2328,plain,
( ~ spl0_55
| spl0_110
| ~ spl0_206 ),
inference(sat_conversion,[],[f19453]) ).
cnf(s2331,plain,
( ~ spl0_107
| spl0_113
| spl0_186 ),
inference(sat_conversion,[],[f19457]) ).
cnf(s2334,plain,
( ~ spl0_108
| spl0_113
| spl0_186 ),
inference(sat_conversion,[],[f19460]) ).
cnf(s2338,plain,
( spl0_110
| spl0_204
| ~ spl0_232 ),
inference(sat_conversion,[],[f19464]) ).
cnf(s2341,plain,
( ~ spl0_9
| spl0_11
| ~ spl0_33 ),
inference(sat_conversion,[],[f19467]) ).
cnf(s2343,plain,
( spl0_113
| ~ spl0_173
| spl0_186 ),
inference(sat_conversion,[],[f19470]) ).
cnf(s2344,plain,
( spl0_96
| spl0_105
| ~ spl0_194 ),
inference(sat_conversion,[],[f19471]) ).
cnf(s2346,plain,
( spl0_1
| spl0_18
| ~ spl0_29
| spl0_31 ),
inference(sat_conversion,[],[f19473]) ).
cnf(s2348,plain,
( spl0_1
| spl0_69
| ~ spl0_91
| spl0_166 ),
inference(sat_conversion,[],[f19477]) ).
cnf(s2356,plain,
( ~ spl0_8
| ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f19566]) ).
cnf(s2369,plain,
( ~ spl0_304
| spl0_317
| spl0_318 ),
inference(sat_conversion,[],[f19647]) ).
cnf(s2378,plain,
( ~ spl0_107
| ~ spl0_173
| ~ spl0_333 ),
inference(sat_conversion,[],[f19730]) ).
cnf(s2383,plain,
( ~ spl0_175
| ~ spl0_209
| ~ spl0_304 ),
inference(sat_conversion,[],[f19787]) ).
cnf(s2387,plain,
( ~ spl0_29
| spl0_31
| ~ spl0_318
| spl0_321 ),
inference(sat_conversion,[],[f19794]) ).
cnf(s2391,plain,
( ~ spl0_9
| spl0_18
| ~ spl0_23
| spl0_31 ),
inference(sat_conversion,[],[f19799]) ).
cnf(s2393,plain,
( ~ spl0_28
| spl0_33
| ~ spl0_318
| spl0_381 ),
inference(sat_conversion,[],[f19803]) ).
cnf(s2403,plain,
( spl0_1
| spl0_62
| spl0_73
| ~ spl0_91 ),
inference(sat_conversion,[],[f19817]) ).
cnf(s2404,plain,
( spl0_1
| spl0_18
| ~ spl0_23
| spl0_31 ),
inference(sat_conversion,[],[f19823]) ).
cnf(s2405,plain,
( spl0_1
| spl0_73
| ~ spl0_91
| spl0_166 ),
inference(sat_conversion,[],[f19824]) ).
cnf(s2415,plain,
( spl0_60
| spl0_71
| spl0_93 ),
inference(sat_conversion,[],[f19883]) ).
cnf(s2420,plain,
( spl0_302
| spl0_316
| ~ spl0_381 ),
inference(sat_conversion,[],[f19900]) ).
cnf(s2424,plain,
( ~ spl0_175
| ~ spl0_207
| ~ spl0_308 ),
inference(sat_conversion,[],[f19953]) ).
cnf(s2427,plain,
( ~ spl0_29
| spl0_304
| ~ spl0_318
| spl0_322 ),
inference(sat_conversion,[],[f19956]) ).
cnf(s2429,plain,
( ~ spl0_6
| spl0_15
| ~ spl0_31 ),
inference(sat_conversion,[],[f19959]) ).
cnf(s2431,plain,
( ~ spl0_71
| spl0_96
| spl0_105 ),
inference(sat_conversion,[],[f19961]) ).
cnf(s2432,plain,
( spl0_96
| spl0_105
| ~ spl0_312 ),
inference(sat_conversion,[],[f19962]) ).
cnf(s2436,plain,
( spl0_47
| ~ spl0_71
| spl0_104 ),
inference(sat_conversion,[],[f19967]) ).
cnf(s2438,plain,
( ~ spl0_177
| spl0_180
| ~ spl0_218
| spl0_221 ),
inference(sat_conversion,[],[f19969]) ).
cnf(s2439,plain,
( spl0_18
| spl0_308
| ~ spl0_318
| spl0_322 ),
inference(sat_conversion,[],[f19973]) ).
cnf(s2444,plain,
( ~ spl0_76
| ~ spl0_206
| spl0_215
| spl0_227
| ~ spl0_397 ),
inference(sat_conversion,[],[f20012]) ).
cnf(s2467,plain,
( ~ spl0_180
| spl0_208
| spl0_209 ),
inference(sat_conversion,[],[f20193]) ).
cnf(s2483,plain,
( spl0_69
| ~ spl0_206
| ~ spl0_314
| ~ spl0_335
| spl0_364 ),
inference(sat_conversion,[],[f20347]) ).
cnf(s2484,plain,
( spl0_73
| ~ spl0_206
| ~ spl0_314
| ~ spl0_335
| spl0_350 ),
inference(sat_conversion,[],[f20348]) ).
cnf(s2488,plain,
( ~ spl0_14
| spl0_113
| ~ spl0_209 ),
inference(sat_conversion,[],[f20358]) ).
cnf(s2491,plain,
( ~ spl0_9
| spl0_36
| spl0_187
| ~ spl0_218 ),
inference(sat_conversion,[],[f20367]) ).
cnf(s2492,plain,
( ~ spl0_23
| ~ spl0_111
| spl0_198 ),
inference(sat_conversion,[],[f20368]) ).
cnf(s2493,plain,
( ~ spl0_177
| ~ spl0_184
| spl0_219
| spl0_236 ),
inference(sat_conversion,[],[f20369]) ).
cnf(s2499,plain,
( spl0_18
| spl0_308
| ~ spl0_318
| spl0_322 ),
inference(sat_conversion,[],[f20381]) ).
cnf(s2500,plain,
( spl0_4
| ~ spl0_196
| ~ spl0_218
| spl0_222 ),
inference(sat_conversion,[],[f20386]) ).
cnf(s2503,plain,
( spl0_1
| spl0_187
| ~ spl0_218
| spl0_221 ),
inference(sat_conversion,[],[f20390]) ).
cnf(s2507,plain,
( ~ spl0_35
| ~ spl0_381 ),
inference(sat_conversion,[],[f20400]) ).
cnf(s2508,plain,
( ~ spl0_35
| ~ spl0_384 ),
inference(sat_conversion,[],[f20402]) ).
cnf(s2509,plain,
( spl0_108
| ~ spl0_109
| ~ spl0_177
| spl0_191 ),
inference(sat_conversion,[],[f20404]) ).
cnf(s2518,plain,
( ~ spl0_8
| ~ spl0_196
| ~ spl0_218 ),
inference(sat_conversion,[],[f20483]) ).
cnf(s2520,plain,
( spl0_8
| ~ spl0_9
| spl0_15
| ~ spl0_23 ),
inference(sat_conversion,[],[f20485]) ).
cnf(s2527,plain,
( ~ spl0_175
| ~ spl0_302 ),
inference(sat_conversion,[],[f20523]) ).
cnf(s2528,plain,
( ~ spl0_24
| ~ spl0_111
| spl0_384 ),
inference(sat_conversion,[],[f20528]) ).
cnf(s2535,plain,
( spl0_107
| ~ spl0_177
| spl0_191
| ~ spl0_218 ),
inference(sat_conversion,[],[f20542]) ).
cnf(s2536,plain,
( ~ spl0_177
| spl0_185
| spl0_187
| spl0_191 ),
inference(sat_conversion,[],[f20543]) ).
cnf(s2542,plain,
( ~ spl0_14
| spl0_21
| spl0_47 ),
inference(sat_conversion,[],[f20560]) ).
cnf(s2544,plain,
( spl0_69
| spl0_268 ),
inference(sat_conversion,[],[f20581]) ).
cnf(s2568,plain,
( ~ spl0_18
| ~ spl0_205
| ~ spl0_296 ),
inference(sat_conversion,[],[f20841]) ).
cnf(s2570,plain,
( ~ spl0_18
| ~ spl0_207
| ~ spl0_329 ),
inference(sat_conversion,[],[f20868]) ).
cnf(s2572,plain,
( ~ spl0_171
| ~ spl0_208 ),
inference(sat_conversion,[],[f20900]) ).
cnf(s2580,plain,
( spl0_73
| spl0_166
| spl0_185
| ~ spl0_193 ),
inference(sat_conversion,[],[f20918]) ).
cnf(s2587,plain,
( spl0_19
| ~ spl0_108
| spl0_186 ),
inference(sat_conversion,[],[f20980]) ).
cnf(s2589,plain,
( spl0_81
| ~ spl0_109
| ~ spl0_184
| spl0_219 ),
inference(sat_conversion,[],[f21026]) ).
cnf(s2592,plain,
( ~ spl0_6
| ~ spl0_221
| spl0_384 ),
inference(sat_conversion,[],[f21063]) ).
cnf(s2593,plain,
( ~ spl0_9
| spl0_321
| ~ spl0_364 ),
inference(sat_conversion,[],[f21086]) ).
cnf(s2596,plain,
( spl0_18
| ~ spl0_58
| spl0_74
| ~ spl0_96 ),
inference(sat_conversion,[],[f21101]) ).
cnf(s2600,plain,
( ~ spl0_15
| ~ spl0_186
| ~ spl0_379 ),
inference(sat_conversion,[],[f21121]) ).
cnf(s2601,plain,
( ~ spl0_28
| spl0_33
| spl0_69
| ~ spl0_96 ),
inference(sat_conversion,[],[f21124]) ).
cnf(s2603,plain,
( ~ spl0_28
| spl0_73
| spl0_85
| ~ spl0_96 ),
inference(sat_conversion,[],[f21129]) ).
cnf(s2604,plain,
( ~ spl0_112
| ~ spl0_181 ),
inference(sat_conversion,[],[f21134]) ).
cnf(s2605,plain,
( ~ spl0_28
| spl0_43
| ~ spl0_65
| spl0_73 ),
inference(sat_conversion,[],[f21135]) ).
cnf(s2607,plain,
( ~ spl0_11
| ~ spl0_36
| ~ spl0_186
| spl0_210
| spl0_379 ),
inference(sat_conversion,[],[f21142]) ).
cnf(s2611,plain,
( spl0_18
| spl0_73
| spl0_85
| ~ spl0_96 ),
inference(sat_conversion,[],[f21154]) ).
cnf(s2612,plain,
( spl0_18
| ~ spl0_65
| spl0_73
| spl0_85 ),
inference(sat_conversion,[],[f21155]) ).
cnf(s2613,plain,
( spl0_18
| spl0_69
| ~ spl0_96
| spl0_166 ),
inference(sat_conversion,[],[f21157]) ).
cnf(s2615,plain,
( spl0_73
| ~ spl0_181
| ~ spl0_184
| spl0_219 ),
inference(sat_conversion,[],[f21160]) ).
cnf(s2616,plain,
( spl0_18
| spl0_73
| ~ spl0_96
| spl0_166 ),
inference(sat_conversion,[],[f21161]) ).
cnf(s2618,plain,
( spl0_73
| spl0_166
| ~ spl0_181
| ~ spl0_184 ),
inference(sat_conversion,[],[f21164]) ).
cnf(s2619,plain,
( spl0_113
| ~ spl0_171
| spl0_186 ),
inference(sat_conversion,[],[f21165]) ).
cnf(s2627,plain,
( spl0_183
| spl0_193
| spl0_227 ),
inference(sat_conversion,[],[f21278]) ).
cnf(s2628,plain,
( spl0_93
| spl0_183
| spl0_193 ),
inference(sat_conversion,[],[f21279]) ).
cnf(s2631,plain,
( spl0_53
| spl0_179
| ~ spl0_183 ),
inference(sat_conversion,[],[f21293]) ).
cnf(s2633,plain,
( spl0_302
| ~ spl0_312
| spl0_352 ),
inference(sat_conversion,[],[f21301]) ).
cnf(s2635,plain,
( ~ spl0_69
| ~ spl0_206
| ~ spl0_384 ),
inference(sat_conversion,[],[f21339]) ).
cnf(s2636,plain,
( ~ spl0_171
| ~ spl0_183
| ~ spl0_206 ),
inference(sat_conversion,[],[f21341]) ).
cnf(s2637,plain,
( ~ spl0_76
| ~ spl0_198
| ~ spl0_206 ),
inference(sat_conversion,[],[f21343]) ).
cnf(s2638,plain,
( ~ spl0_173
| spl0_302
| spl0_303 ),
inference(sat_conversion,[],[f21362]) ).
cnf(s2641,plain,
( ~ spl0_36
| ~ spl0_76
| ~ spl0_179
| spl0_210
| spl0_379 ),
inference(sat_conversion,[],[f21380]) ).
cnf(s2648,plain,
( spl0_81
| ~ spl0_175
| ~ spl0_179
| ~ spl0_326
| spl0_350 ),
inference(sat_conversion,[],[f21454]) ).
cnf(s2653,plain,
( spl0_69
| ~ spl0_175
| ~ spl0_179
| ~ spl0_314
| spl0_364 ),
inference(sat_conversion,[],[f21467]) ).
cnf(s2654,plain,
( spl0_73
| ~ spl0_175
| ~ spl0_179
| ~ spl0_207
| spl0_350 ),
inference(sat_conversion,[],[f21474]) ).
cnf(s2659,plain,
( spl0_76
| ~ spl0_175
| ~ spl0_179
| spl0_324
| ~ spl0_325 ),
inference(sat_conversion,[],[f21480]) ).
cnf(s2661,plain,
( spl0_85
| ~ spl0_96
| spl0_312
| ~ spl0_318 ),
inference(sat_conversion,[],[f21486]) ).
cnf(s2666,plain,
( spl0_69
| spl0_166
| ~ spl0_184
| spl0_187 ),
inference(sat_conversion,[],[f21494]) ).
cnf(s2667,plain,
( spl0_69
| ~ spl0_184
| ~ spl0_196
| spl0_222 ),
inference(sat_conversion,[],[f21496]) ).
cnf(s2668,plain,
( spl0_73
| ~ spl0_175
| ~ spl0_179
| spl0_308
| spl0_350 ),
inference(sat_conversion,[],[f21497]) ).
cnf(s2669,plain,
( spl0_73
| ~ spl0_184
| spl0_187
| spl0_219 ),
inference(sat_conversion,[],[f21498]) ).
cnf(s2670,plain,
( spl0_73
| spl0_166
| ~ spl0_184
| spl0_187 ),
inference(sat_conversion,[],[f21500]) ).
cnf(s2672,plain,
( ~ spl0_41
| spl0_214
| spl0_329 ),
inference(sat_conversion,[],[f21508]) ).
cnf(s2679,plain,
( spl0_8
| ~ spl0_9
| spl0_69
| ~ spl0_91 ),
inference(sat_conversion,[],[f21608]) ).
cnf(s2680,plain,
( ~ spl0_9
| spl0_62
| spl0_73
| ~ spl0_91 ),
inference(sat_conversion,[],[f21609]) ).
cnf(s2681,plain,
( spl0_1
| ~ spl0_58
| spl0_74
| ~ spl0_91 ),
inference(sat_conversion,[],[f21610]) ).
cnf(s2682,plain,
( ~ spl0_23
| spl0_62
| spl0_81
| ~ spl0_91 ),
inference(sat_conversion,[],[f21612]) ).
cnf(s2686,plain,
( spl0_35
| ~ spl0_187
| spl0_205 ),
inference(sat_conversion,[],[f21622]) ).
cnf(s2687,plain,
( spl0_110
| ~ spl0_187
| spl0_204 ),
inference(sat_conversion,[],[f21623]) ).
cnf(s2712,plain,
( ~ spl0_178
| spl0_182
| spl0_208 ),
inference(sat_conversion,[],[f21811]) ).
cnf(s2716,plain,
( ~ spl0_175
| ~ spl0_179
| ~ spl0_268
| spl0_364
| spl0_381 ),
inference(sat_conversion,[],[f22035]) ).
cnf(s2810,plain,
( spl0_69
| spl0_73
| ~ spl0_121 ),
inference(sat_conversion,[],[f23022]) ).
cnf(s2814,plain,
( ~ spl0_14
| ~ spl0_46
| ~ spl0_55
| spl0_73
| spl0_93 ),
inference(sat_conversion,[],[f23092]) ).
cnf(s2817,plain,
( ~ spl0_47
| spl0_73
| ~ spl0_122 ),
inference(sat_conversion,[],[f23133]) ).
cnf(s2818,plain,
( ~ spl0_47
| ~ spl0_122
| spl0_185 ),
inference(sat_conversion,[],[f23137]) ).
cnf(s2821,plain,
( ~ spl0_31
| ~ spl0_105
| spl0_107
| ~ spl0_183
| spl0_215 ),
inference(sat_conversion,[],[f23159]) ).
cnf(s2860,plain,
~ spl0_215,
inference(sat_conversion,[],[f23425]) ).
cnf(s2864,plain,
( ~ spl0_47
| ~ spl0_321 ),
inference(sat_conversion,[],[f23433]) ).
cnf(s2865,plain,
( ~ spl0_23
| spl0_31
| ~ spl0_47
| ~ spl0_113 ),
inference(sat_conversion,[],[f23439]) ).
cnf(s2866,plain,
( ~ spl0_23
| spl0_31
| ~ spl0_47
| ~ spl0_318 ),
inference(sat_conversion,[],[f23440]) ).
cnf(s2867,plain,
( ~ spl0_23
| spl0_31
| ~ spl0_47
| ~ spl0_295 ),
inference(sat_conversion,[],[f23441]) ).
cnf(s2868,plain,
( ~ spl0_107
| spl0_193
| ~ spl0_356 ),
inference(sat_conversion,[],[f23449]) ).
cnf(s2872,plain,
( spl0_210
| spl0_214
| ~ spl0_298
| spl0_329 ),
inference(sat_conversion,[],[f23537]) ).
cnf(s2878,plain,
( spl0_214
| ~ spl0_251
| ~ spl0_303
| spl0_329
| ~ spl0_381 ),
inference(sat_conversion,[],[f23624]) ).
cnf(s2883,plain,
( spl0_112
| ~ spl0_116
| ~ spl0_184
| spl0_227 ),
inference(sat_conversion,[],[f23677]) ).
cnf(s2885,plain,
( spl0_26
| ~ spl0_47
| ~ spl0_116 ),
inference(sat_conversion,[],[f23682]) ).
cnf(s2890,plain,
( spl0_185
| spl0_214
| ~ spl0_265
| ~ spl0_303
| spl0_329
| ~ spl0_381 ),
inference(sat_conversion,[],[f23917]) ).
cnf(s2891,plain,
( ~ spl0_55
| ~ spl0_179
| spl0_185
| spl0_214
| ~ spl0_265
| ~ spl0_303
| ~ spl0_381 ),
inference(sat_conversion,[],[f23919]) ).
cnf(s2896,plain,
( ~ spl0_47
| ~ spl0_113
| spl0_185
| spl0_210
| ~ spl0_389 ),
inference(sat_conversion,[],[f23973]) ).
cnf(s2899,plain,
( ~ spl0_47
| spl0_89
| ~ spl0_92 ),
inference(sat_conversion,[],[f23992]) ).
cnf(s2901,plain,
( ~ spl0_47
| ~ spl0_105
| ~ spl0_183
| spl0_185
| spl0_210
| spl0_214
| ~ spl0_368 ),
inference(sat_conversion,[],[f24026]) ).
cnf(s2908,plain,
( spl0_69
| ~ spl0_105
| ~ spl0_112
| ~ spl0_197
| spl0_230 ),
inference(sat_conversion,[],[f24189]) ).
cnf(s2909,plain,
( spl0_69
| ~ spl0_197
| spl0_230
| spl0_232 ),
inference(sat_conversion,[],[f24190]) ).
cnf(s3174,plain,
( spl0_228
| spl0_575
| spl0_576 ),
inference(sat_conversion,[],[f27449]) ).
cnf(s3178,plain,
( ~ spl0_175
| ~ spl0_182
| spl0_228
| ~ spl0_295
| spl0_322
| ~ spl0_326 ),
inference(sat_conversion,[],[f27524]) ).
cnf(s3180,plain,
( ~ spl0_110
| ~ spl0_175
| ~ spl0_179
| ~ spl0_182
| ~ spl0_184
| spl0_228
| ~ spl0_318 ),
inference(sat_conversion,[],[f27530]) ).
cnf(s3181,plain,
( ~ spl0_175
| ~ spl0_179
| ~ spl0_182
| spl0_228
| ~ spl0_236
| spl0_350 ),
inference(sat_conversion,[],[f27531]) ).
cnf(s3187,plain,
( ~ spl0_125
| ~ spl0_310
| spl0_355 ),
inference(sat_conversion,[],[f27558]) ).
cnf(s3189,plain,
( ~ spl0_20
| ~ spl0_308
| ~ spl0_310 ),
inference(sat_conversion,[],[f27561]) ).
cnf(s3191,plain,
( ~ spl0_52
| ~ spl0_69
| spl0_355
| ~ spl0_381 ),
inference(sat_conversion,[],[f27568]) ).
cnf(s3197,plain,
( ~ spl0_52
| ~ spl0_173
| ~ spl0_183
| spl0_355 ),
inference(sat_conversion,[],[f27588]) ).
cnf(s3201,plain,
( spl0_18
| ~ spl0_23
| spl0_368 ),
inference(sat_conversion,[],[f27602]) ).
cnf(s3214,plain,
( spl0_1
| ~ spl0_23
| ~ spl0_28
| spl0_43 ),
inference(sat_conversion,[],[f27639]) ).
cnf(s3221,plain,
( spl0_1
| spl0_15
| ~ spl0_23
| spl0_251 ),
inference(sat_conversion,[],[f27654]) ).
cnf(s3227,plain,
( spl0_186
| spl0_208
| ~ spl0_329 ),
inference(sat_conversion,[],[f27717]) ).
cnf(s3277,plain,
( ~ spl0_109
| spl0_111
| ~ spl0_318
| ~ spl0_575 ),
inference(sat_conversion,[],[f28197]) ).
cnf(s3280,plain,
( ~ spl0_187
| ~ spl0_316
| ~ spl0_576 ),
inference(sat_conversion,[],[f28217]) ).
cnf(s3281,plain,
( spl0_302
| spl0_337
| ~ spl0_576 ),
inference(sat_conversion,[],[f28218]) ).
cnf(s3282,plain,
( ~ spl0_178
| ~ spl0_303
| ~ spl0_576 ),
inference(sat_conversion,[],[f28220]) ).
cnf(s3286,plain,
( ~ spl0_8
| ~ spl0_112
| spl0_113
| ~ spl0_178 ),
inference(sat_conversion,[],[f28231]) ).
cnf(s3287,plain,
( spl0_113
| ~ spl0_182
| ~ spl0_296 ),
inference(sat_conversion,[],[f28232]) ).
cnf(s3288,plain,
( ~ spl0_52
| spl0_54
| ~ spl0_55 ),
inference(sat_conversion,[],[f28233]) ).
cnf(s3291,plain,
( spl0_81
| ~ spl0_114
| spl0_192
| ~ spl0_193 ),
inference(sat_conversion,[],[f28236]) ).
cnf(s3293,plain,
( spl0_115
| spl0_215
| spl0_230
| spl0_232
| ~ spl0_299 ),
inference(sat_conversion,[],[f28239]) ).
cnf(s3294,plain,
( ~ spl0_8
| spl0_46
| spl0_47 ),
inference(sat_conversion,[],[f28242]) ).
cnf(s3295,plain,
( ~ spl0_6
| ~ spl0_324
| spl0_381 ),
inference(sat_conversion,[],[f28243]) ).
cnf(s3297,plain,
( ~ spl0_37
| spl0_47
| spl0_48 ),
inference(sat_conversion,[],[f28248]) ).
cnf(s3300,plain,
( spl0_76
| ~ spl0_193
| ~ spl0_199
| spl0_200 ),
inference(sat_conversion,[],[f28254]) ).
cnf(s3301,plain,
( spl0_107
| spl0_108
| ~ spl0_163 ),
inference(sat_conversion,[],[f28255]) ).
cnf(s3302,plain,
( ~ spl0_303
| spl0_318
| ~ spl0_329 ),
inference(sat_conversion,[],[f28256]) ).
cnf(s3306,plain,
( spl0_81
| ~ spl0_326
| spl0_350
| ~ spl0_355 ),
inference(sat_conversion,[],[f28264]) ).
cnf(s3308,plain,
( spl0_107
| spl0_183
| spl0_210
| spl0_228
| ~ spl0_299 ),
inference(sat_conversion,[],[f28270]) ).
cnf(s3309,plain,
( spl0_107
| spl0_108
| spl0_214
| ~ spl0_297 ),
inference(sat_conversion,[],[f28272]) ).
cnf(s3314,plain,
( ~ spl0_11
| spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f28281]) ).
cnf(s3315,plain,
( spl0_76
| spl0_91
| spl0_93 ),
inference(sat_conversion,[],[f28298]) ).
cnf(s3318,plain,
( spl0_53
| ~ spl0_76
| spl0_104 ),
inference(sat_conversion,[],[f28306]) ).
cnf(s3319,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_76
| spl0_96 ),
inference(sat_conversion,[],[f28308]) ).
cnf(s3325,plain,
( spl0_110
| ~ spl0_165
| ~ spl0_218 ),
inference(sat_conversion,[],[f28381]) ).
cnf(s3334,plain,
( spl0_19
| ~ spl0_112
| spl0_204 ),
inference(sat_conversion,[],[f28444]) ).
cnf(s3335,plain,
( ~ spl0_21
| ~ spl0_304
| ~ spl0_310 ),
inference(sat_conversion,[],[f28459]) ).
cnf(s3338,plain,
( ~ spl0_28
| spl0_33
| ~ spl0_113
| spl0_379 ),
inference(sat_conversion,[],[f28510]) ).
cnf(s3342,plain,
( spl0_85
| ~ spl0_96
| ~ spl0_113
| spl0_236 ),
inference(sat_conversion,[],[f28521]) ).
cnf(s3346,plain,
( spl0_18
| spl0_106
| ~ spl0_113
| spl0_185 ),
inference(sat_conversion,[],[f28529]) ).
cnf(s3352,plain,
( ~ spl0_37
| spl0_304
| spl0_308 ),
inference(sat_conversion,[],[f28564]) ).
cnf(s3354,plain,
( ~ spl0_8
| spl0_304
| spl0_308 ),
inference(sat_conversion,[],[f28566]) ).
cnf(s3355,plain,
( spl0_35
| ~ spl0_308
| spl0_316 ),
inference(sat_conversion,[],[f28571]) ).
cnf(s3397,plain,
( ~ spl0_184
| spl0_219
| spl0_312
| ~ spl0_575 ),
inference(sat_conversion,[],[f28938]) ).
cnf(s3400,plain,
( spl0_198
| spl0_324
| ~ spl0_325
| ~ spl0_342 ),
inference(sat_conversion,[],[f28989]) ).
cnf(s3401,plain,
( ~ spl0_221
| ~ spl0_325
| ~ spl0_342 ),
inference(sat_conversion,[],[f28990]) ).
cnf(s3405,plain,
( spl0_115
| ~ spl0_325
| ~ spl0_342
| spl0_373 ),
inference(sat_conversion,[],[f28996]) ).
cnf(s3407,plain,
( ~ spl0_15
| ~ spl0_204
| ~ spl0_384 ),
inference(sat_conversion,[],[f28998]) ).
cnf(s3409,plain,
( ~ spl0_109
| spl0_310
| spl0_373
| ~ spl0_575 ),
inference(sat_conversion,[],[f29004]) ).
cnf(s3410,plain,
( ~ spl0_308
| spl0_317
| spl0_318 ),
inference(sat_conversion,[],[f29005]) ).
cnf(s3412,plain,
( spl0_112
| ~ spl0_326
| ~ spl0_342
| spl0_373 ),
inference(sat_conversion,[],[f29009]) ).
cnf(s3414,plain,
( spl0_15
| spl0_18
| spl0_265 ),
inference(sat_conversion,[],[f29011]) ).
cnf(s3420,plain,
( spl0_110
| ~ spl0_178
| spl0_204 ),
inference(sat_conversion,[],[f29023]) ).
cnf(s3421,plain,
( ~ spl0_218
| spl0_304
| spl0_373
| ~ spl0_575 ),
inference(sat_conversion,[],[f29024]) ).
cnf(s3422,plain,
( ~ spl0_29
| spl0_106
| spl0_107
| ~ spl0_113 ),
inference(sat_conversion,[],[f29025]) ).
cnf(s3423,plain,
( ~ spl0_29
| spl0_31
| ~ spl0_113
| spl0_180 ),
inference(sat_conversion,[],[f29026]) ).
cnf(s3424,plain,
( ~ spl0_218
| spl0_221
| spl0_321
| ~ spl0_575 ),
inference(sat_conversion,[],[f29027]) ).
cnf(s3427,plain,
( ~ spl0_15
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f29038]) ).
cnf(s3432,plain,
( ~ spl0_9
| spl0_18
| ~ spl0_29
| spl0_36 ),
inference(sat_conversion,[],[f29092]) ).
cnf(s3437,plain,
( spl0_26
| spl0_65
| spl0_81 ),
inference(sat_conversion,[],[f29110]) ).
cnf(s3445,plain,
( spl0_47
| ~ spl0_115
| spl0_211 ),
inference(sat_conversion,[],[f29176]) ).
cnf(s3446,plain,
( spl0_109
| spl0_112
| spl0_227 ),
inference(sat_conversion,[],[f29191]) ).
cnf(s3448,plain,
( spl0_93
| spl0_109
| spl0_112 ),
inference(sat_conversion,[],[f29193]) ).
cnf(s3455,plain,
( spl0_53
| spl0_352
| ~ spl0_371 ),
inference(sat_conversion,[],[f29271]) ).
cnf(s3460,plain,
( spl0_93
| spl0_335
| spl0_342 ),
inference(sat_conversion,[],[f29307]) ).
cnf(s3462,plain,
( spl0_228
| spl0_335
| spl0_342 ),
inference(sat_conversion,[],[f29309]) ).
cnf(s3463,plain,
( spl0_181
| ~ spl0_335
| spl0_337 ),
inference(sat_conversion,[],[f29320]) ).
cnf(s3465,plain,
( ~ spl0_175
| ~ spl0_182
| ~ spl0_335 ),
inference(sat_conversion,[],[f29348]) ).
cnf(s3467,plain,
( ~ spl0_342
| ~ spl0_355
| ~ spl0_378
| ~ spl0_606 ),
inference(sat_conversion,[],[f29406]) ).
cnf(s3469,plain,
( ~ spl0_111
| ~ spl0_326
| ~ spl0_342 ),
inference(sat_conversion,[],[f29408]) ).
cnf(s3471,plain,
( ~ spl0_314
| ~ spl0_342
| spl0_364
| spl0_384 ),
inference(sat_conversion,[],[f29410]) ).
cnf(s3526,plain,
( ~ spl0_36
| ~ spl0_180
| ~ spl0_303
| spl0_327
| spl0_381 ),
inference(sat_conversion,[],[f29987]) ).
cnf(s3527,plain,
( ~ spl0_36
| ~ spl0_182
| ~ spl0_198
| spl0_210
| spl0_379 ),
inference(sat_conversion,[],[f29988]) ).
cnf(s3532,plain,
( spl0_73
| spl0_192
| ~ spl0_193
| ~ spl0_195 ),
inference(sat_conversion,[],[f29997]) ).
cnf(s3534,plain,
( ~ spl0_310
| spl0_317
| spl0_318 ),
inference(sat_conversion,[],[f30002]) ).
cnf(s3535,plain,
( ~ spl0_14
| spl0_110
| ~ spl0_211 ),
inference(sat_conversion,[],[f30003]) ).
cnf(s3537,plain,
( spl0_69
| ~ spl0_193
| ~ spl0_195
| spl0_249 ),
inference(sat_conversion,[],[f30007]) ).
cnf(s3538,plain,
( ~ spl0_14
| spl0_96
| ~ spl0_104 ),
inference(sat_conversion,[],[f30008]) ).
cnf(s3539,plain,
( ~ spl0_175
| spl0_208
| spl0_303 ),
inference(sat_conversion,[],[f30009]) ).
cnf(s3540,plain,
( ~ spl0_18
| spl0_110
| ~ spl0_205 ),
inference(sat_conversion,[],[f30010]) ).
cnf(s3541,plain,
( ~ spl0_23
| ~ spl0_106
| spl0_180 ),
inference(sat_conversion,[],[f30013]) ).
cnf(s3545,plain,
( spl0_110
| ~ spl0_115
| spl0_204 ),
inference(sat_conversion,[],[f30019]) ).
cnf(s3546,plain,
( ~ spl0_24
| ~ spl0_106
| spl0_379 ),
inference(sat_conversion,[],[f30020]) ).
cnf(s3547,plain,
( spl0_19
| ~ spl0_310
| spl0_317 ),
inference(sat_conversion,[],[f30021]) ).
cnf(s3551,plain,
( ~ spl0_81
| spl0_96
| spl0_105 ),
inference(sat_conversion,[],[f30026]) ).
cnf(s3559,plain,
( spl0_19
| ~ spl0_81
| spl0_105 ),
inference(sat_conversion,[],[f30035]) ).
cnf(s3563,plain,
( spl0_214
| spl0_312
| spl0_606 ),
inference(sat_conversion,[],[f30046]) ).
cnf(s3564,plain,
( spl0_312
| spl0_372
| spl0_606 ),
inference(sat_conversion,[],[f30047]) ).
cnf(s3577,plain,
( ~ spl0_18
| spl0_20
| spl0_35 ),
inference(sat_conversion,[],[f30069]) ).
cnf(s3583,plain,
( spl0_26
| spl0_55
| spl0_96 ),
inference(sat_conversion,[],[f30138]) ).
cnf(s3586,plain,
( spl0_53
| ~ spl0_55
| spl0_105 ),
inference(sat_conversion,[],[f30145]) ).
cnf(s3609,plain,
( spl0_112
| ~ spl0_114
| ~ spl0_172
| spl0_191 ),
inference(sat_conversion,[],[f30352]) ).
cnf(s3610,plain,
( ~ spl0_172
| spl0_192
| ~ spl0_193
| spl0_194 ),
inference(sat_conversion,[],[f30353]) ).
cnf(s3618,plain,
( ~ spl0_20
| ~ spl0_58
| spl0_74
| ~ spl0_310
| ~ spl0_355 ),
inference(sat_conversion,[],[f30416]) ).
cnf(s3620,plain,
( ~ spl0_20
| spl0_73
| ~ spl0_310
| spl0_350
| ~ spl0_355 ),
inference(sat_conversion,[],[f30423]) ).
cnf(s3625,plain,
( ~ spl0_28
| spl0_33
| ~ spl0_110
| spl0_384 ),
inference(sat_conversion,[],[f30433]) ).
cnf(s3626,plain,
( ~ spl0_58
| spl0_74
| spl0_185
| ~ spl0_193 ),
inference(sat_conversion,[],[f30434]) ).
cnf(s3627,plain,
( spl0_1
| ~ spl0_29
| spl0_389 ),
inference(sat_conversion,[],[f30436]) ).
cnf(s3630,plain,
( spl0_179
| spl0_208
| ~ spl0_236 ),
inference(sat_conversion,[],[f30441]) ).
cnf(s3631,plain,
( ~ spl0_28
| ~ spl0_110
| spl0_111
| spl0_187 ),
inference(sat_conversion,[],[f30442]) ).
cnf(s3632,plain,
( spl0_4
| ~ spl0_28
| ~ spl0_29
| spl0_33 ),
inference(sat_conversion,[],[f30443]) ).
cnf(s3636,plain,
( spl0_207
| spl0_208
| ~ spl0_379 ),
inference(sat_conversion,[],[f30450]) ).
cnf(s3638,plain,
( spl0_18
| ~ spl0_110
| ~ spl0_196
| spl0_197 ),
inference(sat_conversion,[],[f30454]) ).
cnf(s3640,plain,
( spl0_1
| spl0_18
| ~ spl0_29
| spl0_31 ),
inference(sat_conversion,[],[f30459]) ).
cnf(s3641,plain,
( spl0_18
| ~ spl0_110
| spl0_111
| spl0_187 ),
inference(sat_conversion,[],[f30463]) ).
cnf(s3644,plain,
( spl0_85
| ~ spl0_96
| ~ spl0_110
| spl0_194 ),
inference(sat_conversion,[],[f30466]) ).
cnf(s3645,plain,
( ~ spl0_29
| spl0_31
| ~ spl0_110
| spl0_198 ),
inference(sat_conversion,[],[f30467]) ).
cnf(s3646,plain,
( ~ spl0_29
| ~ spl0_110
| spl0_111
| spl0_115 ),
inference(sat_conversion,[],[f30469]) ).
cnf(s3654,plain,
( ~ spl0_1
| spl0_35
| spl0_39 ),
inference(sat_conversion,[],[f30481]) ).
cnf(s3655,plain,
( ~ spl0_4
| spl0_39
| spl0_47 ),
inference(sat_conversion,[],[f30484]) ).
cnf(s3658,plain,
( ~ spl0_19
| ~ spl0_28
| spl0_33
| spl0_34 ),
inference(sat_conversion,[],[f30569]) ).
cnf(s3660,plain,
( ~ spl0_19
| ~ spl0_29
| spl0_31
| spl0_32 ),
inference(sat_conversion,[],[f30572]) ).
cnf(s3665,plain,
( spl0_35
| ~ spl0_185
| spl0_207 ),
inference(sat_conversion,[],[f30611]) ).
cnf(s3670,plain,
( spl0_26
| spl0_184
| spl0_232 ),
inference(sat_conversion,[],[f30672]) ).
cnf(s3671,plain,
( spl0_184
| spl0_230
| spl0_232 ),
inference(sat_conversion,[],[f30674]) ).
cnf(s3674,plain,
( spl0_47
| ~ spl0_304
| spl0_333 ),
inference(sat_conversion,[],[f30682]) ).
cnf(s3677,plain,
( spl0_53
| spl0_206
| ~ spl0_232 ),
inference(sat_conversion,[],[f30704]) ).
cnf(s3679,plain,
( spl0_302
| ~ spl0_321
| spl0_333 ),
inference(sat_conversion,[],[f30712]) ).
cnf(s3683,plain,
( ~ spl0_171
| spl0_181
| spl0_182 ),
inference(sat_conversion,[],[f30780]) ).
cnf(s3691,plain,
( ~ spl0_19
| ~ spl0_28
| ~ spl0_364 ),
inference(sat_conversion,[],[f30834]) ).
cnf(s3692,plain,
( ~ spl0_58
| spl0_312
| ~ spl0_364 ),
inference(sat_conversion,[],[f30835]) ).
cnf(s3693,plain,
( spl0_69
| spl0_166
| spl0_185
| ~ spl0_193 ),
inference(sat_conversion,[],[f30836]) ).
cnf(s3694,plain,
( spl0_69
| ~ spl0_314
| ~ spl0_355
| spl0_364 ),
inference(sat_conversion,[],[f30837]) ).
cnf(s3698,plain,
( spl0_73
| spl0_185
| spl0_192
| ~ spl0_193 ),
inference(sat_conversion,[],[f30845]) ).
cnf(s3700,plain,
( spl0_73
| spl0_166
| spl0_185
| ~ spl0_193 ),
inference(sat_conversion,[],[f30853]) ).
cnf(s3701,plain,
( spl0_73
| spl0_308
| spl0_350
| ~ spl0_355 ),
inference(sat_conversion,[],[f30855]) ).
cnf(s3703,plain,
( spl0_73
| spl0_166
| spl0_308
| ~ spl0_355 ),
inference(sat_conversion,[],[f30857]) ).
cnf(s3707,plain,
( spl0_53
| ~ spl0_69
| spl0_97 ),
inference(sat_conversion,[],[f30878]) ).
cnf(s3708,plain,
( spl0_35
| ~ spl0_73
| spl0_97 ),
inference(sat_conversion,[],[f30883]) ).
cnf(s3709,plain,
( spl0_181
| spl0_205
| ~ spl0_384 ),
inference(sat_conversion,[],[f30895]) ).
cnf(s3710,plain,
( ~ spl0_52
| ~ spl0_69
| spl0_184
| ~ spl0_384 ),
inference(sat_conversion,[],[f30896]) ).
cnf(s3724,plain,
( spl0_302
| ~ spl0_312
| spl0_352 ),
inference(sat_conversion,[],[f31045]) ).
cnf(s3728,plain,
( ~ spl0_196
| spl0_222
| spl0_381
| ~ spl0_575 ),
inference(sat_conversion,[],[f31108]) ).
cnf(s3737,plain,
( spl0_71
| ~ spl0_325
| spl0_350
| ~ spl0_355 ),
inference(sat_conversion,[],[f31130]) ).
cnf(s3741,plain,
( ~ spl0_52
| ~ spl0_175
| spl0_193
| ~ spl0_371 ),
inference(sat_conversion,[],[f31135]) ).
cnf(s3742,plain,
( spl0_187
| spl0_308
| spl0_373
| ~ spl0_575 ),
inference(sat_conversion,[],[f31136]) ).
cnf(s3744,plain,
( spl0_76
| spl0_324
| ~ spl0_325
| ~ spl0_355 ),
inference(sat_conversion,[],[f31138]) ).
cnf(s3746,plain,
( ~ spl0_85
| ~ spl0_326
| ~ spl0_355 ),
inference(sat_conversion,[],[f31140]) ).
cnf(s3748,plain,
( ~ spl0_36
| spl0_180
| spl0_210
| spl0_379 ),
inference(sat_conversion,[],[f31143]) ).
cnf(s3782,plain,
( ~ spl0_31
| ~ spl0_105
| spl0_107
| ~ spl0_183 ),
inference(rat,[],[s2821,s2860]) ).
cnf(s3785,plain,
( ~ spl0_76
| ~ spl0_206
| spl0_227
| ~ spl0_397 ),
inference(rat,[],[s2444,s2860]) ).
cnf(s3787,plain,
( ~ spl0_36
| ~ spl0_180
| ~ spl0_303
| spl0_381 ),
inference(rat,[],[s2279,s2294]) ).
cnf(s3788,plain,
( ~ spl0_11
| ~ spl0_36
| ~ spl0_317
| spl0_381 ),
inference(rat,[],[s2272,s2294]) ).
cnf(s3791,plain,
( spl0_355
| spl0_371 ),
inference(rat,[],[s2061,s2860]) ).
cnf(s3792,plain,
( spl0_355
| spl0_371 ),
inference(rat,[],[s2060,s2315]) ).
cnf(s3795,plain,
( spl0_355
| spl0_371 ),
inference(rat,[],[s1924,s2860]) ).
cnf(s3809,plain,
( spl0_304
| spl0_325 ),
inference(rat,[],[s1272,s2294]) ).
cnf(s3810,plain,
( spl0_15
| spl0_18
| ~ spl0_294 ),
inference(rat,[],[s1166,s1193]) ).
cnf(s3829,plain,
( spl0_4
| ~ spl0_14
| spl0_47
| ~ spl0_157 ),
inference(rat,[],[s621,s668]) ).
cnf(s3831,plain,
( spl0_4
| spl0_71
| ~ spl0_74 ),
inference(rat,[],[s618,s668]) ).
cnf(s3832,plain,
( spl0_4
| spl0_71
| ~ spl0_166 ),
inference(rat,[],[s605,s668]) ).
cnf(s3837,plain,
( spl0_184
| spl0_232 ),
inference(rat,[],[s493,s1193]) ).
cnf(s3843,plain,
( spl0_183
| spl0_193 ),
inference(rat,[],[s441,s530]) ).
cnf(s3844,plain,
( spl0_115
| spl0_218 ),
inference(rat,[],[s425,s2860]) ).
cnf(s3845,plain,
( spl0_108
| spl0_114 ),
inference(rat,[],[s401,s2860]) ).
cnf(s3846,plain,
( spl0_108
| spl0_114 ),
inference(rat,[],[s399,s1919]) ).
cnf(s3847,plain,
( spl0_107
| spl0_199 ),
inference(rat,[],[s389,s2017]) ).
cnf(s3849,plain,
( spl0_60
| spl0_71 ),
inference(rat,[],[s319,s668]) ).
cnf(s3851,plain,
( spl0_11
| spl0_76
| ~ spl0_83 ),
inference(rat,[],[s296,s668]) ).
cnf(s3854,plain,
( spl0_14
| ~ spl0_119 ),
inference(rat,[],[s287,s668,s1193]) ).
cnf(s3861,plain,
( ~ spl0_43
| spl0_55
| spl0_69 ),
inference(rat,[],[s176,s201]) ).
cnf(s3864,plain,
( ~ spl0_4
| ~ spl0_46
| ~ spl0_53
| ~ spl0_69 ),
inference(rat,[],[s148,s668]) ).
cnf(s3873,plain,
( spl0_76
| spl0_91 ),
inference(rat,[],[s106,s668]) ).
cnf(s3874,plain,
( ~ spl0_53
| spl0_65 ),
inference(rat,[],[s93,s1193]) ).
cnf(s3879,plain,
( spl0_14
| spl0_29 ),
inference(rat,[],[s35,s1193]) ).
cnf(s3880,plain,
( spl0_11
| spl0_23 ),
inference(rat,[],[s23,s1193]) ).
cnf(s3881,plain,
( spl0_31
| ~ spl0_47
| ~ spl0_18
| ~ spl0_23
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s2638,s358,s1631,s1972,s3354,s3665,s3302,s3355,s1813,s1951,s1809,s2865,s2112,s2088,s1460,s1142,s2864,s201]) ).
cnf(s3882,plain,
( spl0_55
| ~ spl0_318
| spl0_302
| spl0_85
| ~ spl0_24
| spl0_33 ),
inference(rat,[],[s2310,s2633,s1946,s2661,s893,s3583,s2078,s201,s1193]) ).
cnf(s3883,plain,
( spl0_302
| ~ spl0_173
| spl0_53
| ~ spl0_195
| ~ spl0_329
| spl0_192
| spl0_85
| spl0_249
| ~ spl0_18
| ~ spl0_24
| spl0_33 ),
inference(rat,[],[s2661,s966,s1546,s3707,s3532,s3537,s1684,s3882,s2420,s2078,s3302,s2638,s63]) ).
cnf(s3884,plain,
( ~ spl0_302
| spl0_185
| spl0_305 ),
inference(rat,[],[s359,s1554,s2527,s201]) ).
cnf(s3885,plain,
( spl0_113
| spl0_85
| spl0_249
| ~ spl0_47
| ~ spl0_18
| ~ spl0_24
| spl0_33
| spl0_35 ),
inference(rat,[],[s1546,s1943,s3532,s1684,s3882,s1809,s2420,s2080,s358,s3883,s3884,s63,s72,s265,s2899,s480,s1120,s3665,s1813,s1951,s2088,s1460,s2864,s2110,s3315,s980,s1142,s201,s668]) ).
cnf(s3886,plain,
( ~ spl0_329
| spl0_302
| ~ spl0_173
| spl0_85
| spl0_249
| ~ spl0_47
| ~ spl0_18
| ~ spl0_24
| spl0_33
| spl0_35 ),
inference(rat,[],[s72,s265,s3883,s2899,s480,s1120,s3665,s2570,s2110,s3315,s980,s1142,s668]) ).
cnf(s3887,plain,
( ~ spl0_177
| spl0_185
| spl0_108
| spl0_191
| ~ spl0_20 ),
inference(rat,[],[s3448,s439,s2509,s2536,s668]) ).
cnf(s3888,plain,
( ~ spl0_236
| ~ spl0_182
| ~ spl0_175
| spl0_208
| spl0_350 ),
inference(rat,[],[s3181,s3630,s543]) ).
cnf(s3889,plain,
( spl0_185
| spl0_53
| spl0_208
| spl0_108
| spl0_318
| ~ spl0_303
| ~ spl0_113
| spl0_350
| spl0_191
| spl0_373
| spl0_305
| spl0_85
| ~ spl0_18
| spl0_35 ),
inference(rat,[],[s3795,s3620,s3455,s3708,s1974,s966,s3583,s3342,s3888,s3409,s3446,s439,s3742,s3174,s2712,s3282,s360,s3887,s359,s1575,s3577,s3355,s1809,s1193,s530,s543,s201]) ).
cnf(s3890,plain,
( ~ spl0_236
| ~ spl0_207
| spl0_208
| spl0_308
| ~ spl0_113
| spl0_350
| spl0_322
| spl0_67
| spl0_15
| spl0_19 ),
inference(rat,[],[s3187,s251,s2253,s3559,s1949,s3437,s359,s1841,s2668,s3701,s158,s610,s3630,s1193,s201]) ).
cnf(s3891,plain,
( spl0_53
| spl0_208
| spl0_108
| spl0_318
| ~ spl0_303
| ~ spl0_113
| spl0_350
| spl0_191
| spl0_373
| spl0_305
| spl0_85
| spl0_322
| spl0_67
| ~ spl0_18
| spl0_15
| spl0_19
| spl0_35 ),
inference(rat,[],[s3795,s3701,s3455,s3708,s1974,s966,s3583,s3342,s3890,s3665,s3889,s3355,s1809,s1193]) ).
cnf(s3892,plain,
( spl0_302
| ~ spl0_173
| ~ spl0_297
| spl0_85
| spl0_249
| spl0_322
| spl0_67
| ~ spl0_47
| ~ spl0_18
| ~ spl0_251
| spl0_15
| spl0_19
| spl0_33
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s70,s87,s3891,s937,s3309,s2271,s2369,s3354,s3355,s1809,s2078,s2878,s3886,s1293,s2638,s2088,s1460,s2864,s1956,s2106,s1515,s1141,s1142,s1923,s3315,s980,s3885,s19,s1919,s668]) ).
cnf(s3893,plain,
( ~ spl0_302
| ~ spl0_113
| spl0_322 ),
inference(rat,[],[s1949,s359,s1804,s2527,s201]) ).
cnf(s3894,plain,
( spl0_185
| ~ spl0_174
| spl0_302
| spl0_85
| ~ spl0_47
| ~ spl0_18
| ~ spl0_24
| spl0_33
| spl0_35 ),
inference(rat,[],[s1546,s1943,s3532,s2628,s810,s3586,s3845,s3882,s72,s1969,s1809,s265,s3189,s3355,s2899,s1972,s480,s1120,s3577,s2088,s1460,s2864,s2110,s3315,s980,s1142,s668]) ).
cnf(s3895,plain,
( ~ spl0_18
| ~ spl0_251
| spl0_15
| ~ spl0_14
| spl0_11
| ~ spl0_8
| ~ spl0_4
| ~ spl0_9 ),
inference(rat,[],[s3455,s3791,s70,s3701,s158,s3708,s1974,s966,s3583,s3342,s1599,s3890,s3354,s3189,s1809,s1969,s2074,s3845,s1846,s938,s3665,s3894,s358,s3892,s3893,s3885,s1213,s3881,s1923,s2088,s289,s3315,s905,s1460,s2327,s960,s980,s1142,s1870,s2864,s3655,s146,s3577,s115,s2341,s3880,s929,s19,s1193,s201,s668]) ).
cnf(s3896,plain,
( ~ spl0_178
| spl0_308
| ~ spl0_303
| ~ spl0_207
| spl0_373 ),
inference(rat,[],[s3742,s3174,s457,s3282,s543]) ).
cnf(s3897,plain,
( ~ spl0_173
| ~ spl0_185
| ~ spl0_113
| spl0_219
| spl0_350
| spl0_191
| spl0_373
| spl0_85
| spl0_322
| spl0_67
| spl0_18
| spl0_15
| spl0_19
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s251,s404,s2344,s3448,s1511,s2509,s1952,s2493,s360,s3896,s2271,s3342,s2369,s3890,s3354,s2499,s3355,s2320,s2638,s3893,s3665,s938,s668,s201]) ).
cnf(s3898,plain,
( spl0_308
| spl0_318
| ~ spl0_174
| ~ spl0_185
| ~ spl0_113
| spl0_350
| spl0_192
| spl0_85
| spl0_322
| spl0_67
| spl0_18
| spl0_15
| spl0_19
| spl0_35 ),
inference(rat,[],[s3455,s3874,s3791,s2612,s3701,s3708,s1048,s2627,s1943,s3724,s1974,s3583,s3342,s3890,s3893,s3665,s938,s530,s1193]) ).
cnf(s3899,plain,
( ~ spl0_178
| spl0_73
| spl0_193
| ~ spl0_52
| ~ spl0_207
| spl0_219 ),
inference(rat,[],[s2669,s463,s457]) ).
cnf(s3900,plain,
( ~ spl0_55
| spl0_53
| ~ spl0_308
| spl0_318
| ~ spl0_174
| ~ spl0_207
| spl0_302
| ~ spl0_47
| spl0_35 ),
inference(rat,[],[s2686,s2669,s1379,s404,s3460,s3448,s1953,s2509,s360,s3899,s610,s810,s1786,s2627,s3791,s1943,s251,s3455,s3724,s3586,s1974,s1956,s2106,s1515,s2110,s1142,s1923,s1219,s3315,s980,s1141,s359,s2424,s63,s668,s201,s530]) ).
cnf(s3901,plain,
( spl0_55
| spl0_208
| ~ spl0_379
| ~ spl0_113
| spl0_85
| ~ spl0_43 ),
inference(rat,[],[s3630,s2269,s3342,s3861,s3583,s1193]) ).
cnf(s3902,plain,
( ~ spl0_53
| spl0_116
| spl0_119 ),
inference(rat,[],[s274,s3874]) ).
cnf(s3903,plain,
( spl0_318
| ~ spl0_55
| ~ spl0_174
| ~ spl0_185
| ~ spl0_113
| spl0_85
| spl0_322
| spl0_67
| ~ spl0_47
| spl0_18
| spl0_15
| spl0_19
| spl0_35 ),
inference(rat,[],[s3900,s3898,s2110,s1142,s1923,s3315,s980,s3902,s2885,s288,s3893,s3665,s1193,s668]) ).
cnf(s3904,plain,
( ~ spl0_113
| spl0_85
| spl0_322
| spl0_106
| spl0_67
| ~ spl0_47
| ~ spl0_43
| spl0_18
| spl0_15
| spl0_19
| spl0_33
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s3437,s2612,s1921,s1546,s3547,s1943,s2253,s2628,s1949,s810,s359,s3845,s2424,s3355,s2074,s2499,s3903,s3586,s3901,s358,s3897,s938,s3665,s3338,s3346,s32,s1956,s2106,s1515,s2110,s1142,s1923,s1219,s3315,s980,s1141,s3902,s2885,s288,s1193,s668,s201]) ).
cnf(s3905,plain,
( ~ spl0_308
| spl0_318
| ~ spl0_174
| spl0_302
| ~ spl0_185
| spl0_85
| ~ spl0_47
| ~ spl0_43
| spl0_18
| spl0_35 ),
inference(rat,[],[s2628,s1943,s1048,s1546,s3707,s2611,s3861,s3583,s3900,s3355,s2110,s3315,s980,s1142,s3902,s2885,s288,s3665,s668,s1193]) ).
cnf(s3906,plain,
( ~ spl0_55
| spl0_318
| ~ spl0_174
| spl0_302
| ~ spl0_329
| ~ spl0_52
| spl0_192 ),
inference(rat,[],[s3724,s1943,s1974,s1684]) ).
cnf(s3907,plain,
( ~ spl0_178
| spl0_208
| ~ spl0_207
| spl0_113
| spl0_111
| spl0_18 ),
inference(rat,[],[s1466,s3641,s3287,s457,s2712]) ).
cnf(s3908,plain,
( spl0_318
| ~ spl0_174
| spl0_302
| ~ spl0_177
| spl0_208
| ~ spl0_207
| ~ spl0_329
| spl0_53
| spl0_219
| spl0_350
| spl0_192
| spl0_373
| spl0_85
| spl0_18 ),
inference(rat,[],[s3677,s2304,s3671,s3791,s2493,s1786,s3460,s610,s1953,s2611,s359,s3583,s3539,s3906,s3302,s63,s737,s668,s201,s1193]) ).
cnf(s3909,plain,
( ~ spl0_318
| spl0_302
| ~ spl0_177
| spl0_208
| ~ spl0_207
| spl0_113
| spl0_53
| spl0_219
| spl0_350
| spl0_373
| spl0_85
| spl0_322
| spl0_18
| ~ spl0_24
| spl0_33 ),
inference(rat,[],[s3677,s2304,s3671,s3791,s3460,s2493,s1786,s1953,s3630,s359,s1280,s2424,s3882,s2499,s737,s668,s201]) ).
cnf(s3910,plain,
( spl0_302
| ~ spl0_177
| spl0_208
| ~ spl0_207
| spl0_113
| spl0_53
| spl0_219
| spl0_350
| spl0_192
| spl0_373
| spl0_85
| spl0_322
| spl0_18
| ~ spl0_24
| spl0_33 ),
inference(rat,[],[s358,s2638,s3908,s3302,s3909,s1951,s201]) ).
cnf(s3911,plain,
( ~ spl0_302
| ~ spl0_8 ),
inference(rat,[],[s3354,s1631,s1800]) ).
cnf(s3912,plain,
( ~ spl0_185
| spl0_113
| spl0_53
| spl0_219
| spl0_350
| spl0_192
| spl0_373
| spl0_85
| spl0_111
| spl0_322
| spl0_18
| ~ spl0_24
| spl0_33
| spl0_302
| spl0_35 ),
inference(rat,[],[s360,s3910,s3907,s938,s3665,s201]) ).
cnf(s3916,plain,
( ~ spl0_178
| spl0_81
| spl0_193
| spl0_113
| ~ spl0_52
| spl0_219
| ~ spl0_8 ),
inference(rat,[],[s2589,s3446,s463,s3286,s530]) ).
cnf(s3917,plain,
( spl0_318
| ~ spl0_174
| spl0_185
| spl0_113
| spl0_85
| ~ spl0_47
| ~ spl0_368
| spl0_18
| spl0_19
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s1379,s3460,s2686,s1953,s2536,s360,s3916,s359,s3559,s3539,s2901,s1127,s2627,s1943,s1546,s2611,s3583,s3906,s3302,s3911,s1956,s2106,s1515,s2110,s1219,s3315,s980,s1141,s63,s3902,s2885,s288,s1951,s3355,s1972,s2088,s1460,s1142,s2864,s668,s201,s2017,s1919,s530,s1193]) ).
cnf(s3918,plain,
( ~ spl0_174
| spl0_185
| spl0_113
| spl0_85
| ~ spl0_47
| ~ spl0_368
| spl0_18
| ~ spl0_24
| spl0_19
| spl0_33
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s1546,s1943,s3698,s1684,s3882,s3917,s3355,s1972,s3911,s2088,s1460,s2864,s2110,s3315,s980,s1142,s63,s3902,s2885,s288,s1951,s1193,s668]) ).
cnf(s3919,plain,
( ~ spl0_178
| ~ spl0_303
| spl0_113
| spl0_111
| ~ spl0_8 ),
inference(rat,[],[s3277,s3446,s3174,s3286,s3282,s3302,s1951,s530,s543]) ).
cnf(s3920,plain,
( ~ spl0_47
| ~ spl0_43
| spl0_18
| spl0_15
| spl0_19
| spl0_11
| ~ spl0_8
| spl0_35
| ~ spl0_9 ),
inference(rat,[],[s3671,s922,s2493,s2536,s360,s3919,s1884,s3437,s2083,s1546,s3708,s3698,s1684,s3355,s3882,s2499,s3302,s2638,s2343,s358,s3918,s3912,s1951,s3904,s63,s3902,s1219,s1923,s2110,s2106,s1956,s289,s3315,s2492,s1515,s2327,s960,s980,s1141,s1142,s1870,s2864,s2885,s3911,s2341,s19,s288,s3201,s3880,s737,s201,s1193,s668]) ).
cnf(s3921,plain,
( ~ spl0_185
| spl0_76
| spl0_85
| ~ spl0_379
| ~ spl0_113
| ~ spl0_46
| ~ spl0_39
| spl0_47
| ~ spl0_43
| ~ spl0_14
| spl0_35 ),
inference(rat,[],[s3300,s2628,s1228,s1048,s2415,s610,s3708,s2436,s2814,s884,s390,s3901,s688,s938,s3665,s668]) ).
cnf(s3922,plain,
( ~ spl0_55
| spl0_350
| spl0_318
| spl0_53
| spl0_47
| ~ spl0_14 ),
inference(rat,[],[s3795,s3737,s3455,s2436,s1974,s884,s3809,s3674,s1516]) ).
cnf(s3925,plain,
( ~ spl0_310
| spl0_324
| ~ spl0_125
| spl0_76
| ~ spl0_21 ),
inference(rat,[],[s1271,s3744,s3335,s3187]) ).
cnf(s3926,plain,
( ~ spl0_208
| ~ spl0_297 ),
inference(rat,[],[s3309,s937,s1132,s1919]) ).
cnf(s3927,plain,
( ~ spl0_108
| spl0_200
| ~ spl0_105
| spl0_76
| ~ spl0_21 ),
inference(rat,[],[s3300,s2628,s390,s810,s876,s668]) ).
cnf(s3928,plain,
( ~ spl0_174
| ~ spl0_114
| ~ spl0_195
| ~ spl0_125
| ~ spl0_330
| spl0_76
| ~ spl0_60
| ~ spl0_73
| spl0_249
| ~ spl0_21
| spl0_302 ),
inference(rat,[],[s1969,s3925,s2068,s1616,s1546,s2420,s2080]) ).
cnf(s3929,plain,
( spl0_85
| ~ spl0_379
| spl0_249
| ~ spl0_113
| ~ spl0_39
| spl0_47
| ~ spl0_43
| ~ spl0_297
| ~ spl0_160
| ~ spl0_163
| ~ spl0_14
| ~ spl0_23
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s2254,s1949,s3925,s359,s1616,s2424,s2327,s1942,s3354,s3679,s3674,s2378,s358,s3928,s3845,s3309,s3927,s480,s251,s3921,s1418,s1228,s1469,s3586,s3318,s2415,s610,s143,s2436,s2814,s884,s3901,s3911,s3294,s2542,s3636,s3926,s2017,s201,s1919,s543,s668]) ).
cnf(s3930,plain,
( ~ spl0_85
| ~ spl0_46
| ~ spl0_24
| ~ spl0_23
| ~ spl0_4 ),
inference(rat,[],[s3318,s3864,s234,s289,s230]) ).
cnf(s3931,plain,
( ~ spl0_113
| spl0_85
| ~ spl0_39
| spl0_47
| ~ spl0_43
| ~ spl0_297
| ~ spl0_160
| ~ spl0_163
| ~ spl0_28
| ~ spl0_14
| ~ spl0_23
| spl0_33
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s3929,s3338,s1135]) ).
cnf(s3932,plain,
( ~ spl0_55
| spl0_192
| ~ spl0_52
| ~ spl0_199
| ~ spl0_329
| spl0_47
| ~ spl0_14 ),
inference(rat,[],[s1736,s2436,s1684,s884]) ).
cnf(s3933,plain,
( spl0_318
| ~ spl0_331
| ~ spl0_108
| ~ spl0_329
| spl0_208
| spl0_47
| ~ spl0_14
| spl0_302 ),
inference(rat,[],[s1553,s359,s2088,s3809,s3539,s3679,s3674,s3302,s1516,s2542,s201]) ).
cnf(s3934,plain,
( spl0_53
| ~ spl0_55
| ~ spl0_199
| spl0_180
| ~ spl0_329
| spl0_47
| ~ spl0_14 ),
inference(rat,[],[s3315,s2110,s3318,s3932,s63,s884,s668]) ).
cnf(s3935,plain,
( spl0_15
| ~ spl0_14
| spl0_11
| ~ spl0_8
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s143,s3934,s2814,s3882,s3933,s1460,s390,s3309,s2467,s2233,s1951,s2488,s3931,s3930,s3926,s3294,s3655,s3920,s3214,s1213,s337,s341,s32,s2404,s3895,s3221,s19,s51,s115,s3911,s2341,s8,s3880,s929,s668,s1919]) ).
cnf(s3936,plain,
( spl0_318
| spl0_69
| ~ spl0_185
| ~ spl0_55
| ~ spl0_43
| spl0_18
| spl0_85
| spl0_364
| ~ spl0_47
| spl0_302
| spl0_35 ),
inference(rat,[],[s358,s2320,s3905,s3355,s1258,s3694,s3791,s3455,s1974,s3902,s288,s2885,s201,s1193]) ).
cnf(s3937,plain,
( ~ spl0_113
| spl0_208
| ~ spl0_43
| spl0_18
| spl0_85
| spl0_106
| spl0_364
| ~ spl0_47
| ~ spl0_20
| ~ spl0_15
| spl0_33
| spl0_302
| spl0_35 ),
inference(rat,[],[s2320,s358,s2420,s2074,s2393,s3936,s3845,s2105,s1846,s3586,s3346,s3901,s3338,s32,s3902,s288,s2885,s201,s1193]) ).
cnf(s3938,plain,
( ~ spl0_55
| ~ spl0_329
| ~ spl0_43
| spl0_18
| spl0_85
| spl0_249
| spl0_106
| spl0_364
| ~ spl0_47
| ~ spl0_20
| ~ spl0_15
| spl0_33
| spl0_302
| spl0_35 ),
inference(rat,[],[s2320,s358,s2420,s2074,s2393,s3845,s3936,s1846,s480,s3537,s2105,s1684,s3586,s32,s63,s3902,s288,s2885,s201,s1193]) ).
cnf(s3939,plain,
( spl0_318
| spl0_113
| spl0_208
| ~ spl0_368
| spl0_18
| spl0_85
| spl0_111
| ~ spl0_47
| spl0_19
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s360,s3908,s3907,s3665,s3917,s358,s2638,s3302,s3911,s1956,s1515,s1141,s1944,s1923,s1214,s3315,s980,s3902,s288,s2885,s1951,s201,s1193,s668]) ).
cnf(s3940,plain,
( spl0_18
| ~ spl0_47
| ~ spl0_15
| spl0_19
| spl0_11
| ~ spl0_8
| spl0_35
| spl0_1 ),
inference(rat,[],[s2633,s2310,s2661,s2393,s3939,s3861,s3583,s3938,s1951,s3937,s3926,s3214,s1213,s3201,s32,s2404,s3911,s2341,s3427,s1883,s960,s905,s1142,s8,s2492,s1141,s289,s980,s3880,s1193]) ).
cnf(s3941,plain,
( spl0_318
| spl0_73
| spl0_53
| ~ spl0_55
| ~ spl0_18
| spl0_350
| spl0_35 ),
inference(rat,[],[s3795,s3701,s3455,s3355,s1974,s1809]) ).
cnf(s3942,plain,
( ~ spl0_318
| ~ spl0_114
| ~ spl0_185
| ~ spl0_28
| spl0_106
| spl0_33
| spl0_302 ),
inference(rat,[],[s2320,s358,s2420,s2074,s2393,s201]) ).
cnf(s3943,plain,
( spl0_53
| ~ spl0_314
| spl0_352
| ~ spl0_55
| spl0_364
| ~ spl0_15 ),
inference(rat,[],[s3694,s3791,s2105,s3455,s3586]) ).
cnf(s3945,plain,
( spl0_318
| ~ spl0_55
| spl0_53
| ~ spl0_18
| spl0_364
| ~ spl0_15
| spl0_35 ),
inference(rat,[],[s1258,s3943,s3355,s1974,s1809]) ).
cnf(s3946,plain,
( ~ spl0_185
| ~ spl0_318
| spl0_69
| ~ spl0_125
| ~ spl0_52
| ~ spl0_113
| spl0_219
| spl0_192
| spl0_373
| spl0_111
| spl0_106
| spl0_364
| ~ spl0_20
| spl0_302
| spl0_35 ),
inference(rat,[],[s2669,s327,s439,s404,s3291,s3448,s2628,s1950,s3197,s360,s3694,s3896,s1258,s3355,s2320,s2638,s358,s2074,s3845,s1846,s3665,s668,s201]) ).
cnf(s3947,plain,
( ~ spl0_55
| spl0_53
| ~ spl0_113
| ~ spl0_18
| spl0_219
| spl0_192
| spl0_191
| spl0_373
| spl0_111
| spl0_249
| spl0_222
| spl0_106
| spl0_364
| ~ spl0_20
| ~ spl0_15
| spl0_302
| spl0_35 ),
inference(rat,[],[s3446,s3277,s439,s3174,s383,s3282,s2667,s2638,s463,s358,s360,s2074,s3887,s3845,s810,s2627,s3537,s480,s3946,s3945,s2105,s251,s3586,s63,s530,s543,s201]) ).
cnf(s3948,plain,
( ~ spl0_185
| spl0_81
| ~ spl0_97
| spl0_192
| ~ spl0_20 ),
inference(rat,[],[s3291,s2628,s3845,s1048,s1846,s668]) ).
cnf(s3949,plain,
( spl0_318
| spl0_185
| spl0_53
| ~ spl0_113
| spl0_208
| ~ spl0_18
| spl0_350
| spl0_191
| spl0_373
| spl0_305
| spl0_85
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s3889,s2271,s2638,s358,s1972,s2369,s3354,s3355,s1809,s3911,s201]) ).
cnf(s3952,plain,
( ~ spl0_53
| ~ spl0_163 ),
inference(rat,[],[s1418,s89,s233]) ).
cnf(s3953,plain,
( spl0_318
| ~ spl0_236
| ~ spl0_113
| spl0_53
| spl0_208
| ~ spl0_18
| spl0_219
| spl0_350
| spl0_192
| spl0_191
| spl0_373
| spl0_305
| spl0_85
| spl0_111
| spl0_322
| ~ spl0_20
| spl0_19
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s3671,s3677,s2669,s2484,s439,s3460,s3448,s1953,s1950,s360,s3899,s3291,s3559,s251,s3187,s2253,s1949,s359,s2668,s3701,s3845,s610,s1258,s1846,s3665,s3355,s3949,s1809,s63,s3630,s737,s668,s201]) ).
cnf(s3954,plain,
( ~ spl0_185
| ~ spl0_312
| ~ spl0_318
| ~ spl0_179
| ~ spl0_236
| ~ spl0_113
| ~ spl0_52
| spl0_350
| spl0_192
| spl0_322
| spl0_106
| ~ spl0_20
| spl0_19
| spl0_35 ),
inference(rat,[],[s2628,s3291,s3197,s1921,s3620,s3547,s2253,s1949,s358,s359,s2074,s2654,s3845,s610,s1846,s3665,s668,s201]) ).
cnf(s3955,plain,
( ~ spl0_176
| spl0_185
| ~ spl0_113
| spl0_305
| spl0_322
| ~ spl0_20 ),
inference(rat,[],[s3189,s2253,s1575,s1949]) ).
cnf(s3956,plain,
( ~ spl0_113
| spl0_53
| spl0_208
| ~ spl0_18
| spl0_219
| spl0_350
| spl0_192
| spl0_191
| spl0_373
| spl0_305
| spl0_85
| spl0_111
| spl0_249
| spl0_322
| spl0_222
| spl0_106
| spl0_364
| ~ spl0_15
| spl0_19
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s3448,s439,s1950,s2536,s360,s2712,s3181,s359,s3955,s3954,s2661,s3953,s3630,s3342,s3583,s3947,s3911,s3427,s63,s668,s201,s543,s1193]) ).
cnf(s3957,plain,
( spl0_318
| spl0_185
| ~ spl0_329
| ~ spl0_18
| spl0_305
| spl0_302
| spl0_35 ),
inference(rat,[],[s358,s1972,s2638,s3355,s3302,s1809,s201]) ).
cnf(s3958,plain,
( ~ spl0_55
| ~ spl0_195
| ~ spl0_329
| spl0_53
| spl0_249
| ~ spl0_15 ),
inference(rat,[],[s3537,s2105,s1684,s3586,s63]) ).
cnf(s3959,plain,
( ~ spl0_69
| ~ spl0_352
| ~ spl0_276
| spl0_185
| spl0_113
| spl0_53
| spl0_191
| spl0_111
| spl0_249
| ~ spl0_20
| ~ spl0_8 ),
inference(rat,[],[s1321,s3670,s3446,s922,s439,s2536,s360,s3919,s2638,s358,s2080,s2310,s3707,s3911,s480,s1193,s530,s201]) ).
cnf(s3960,plain,
( ~ spl0_174
| ~ spl0_179
| spl0_193
| ~ spl0_318
| spl0_185
| spl0_113
| ~ spl0_52
| spl0_219
| spl0_350
| spl0_191
| spl0_373
| spl0_305
| spl0_106
| ~ spl0_20
| spl0_19
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s1379,s2686,s3460,s2536,s1953,s360,s359,s3916,s2648,s3559,s2254,s810,s3189,s3845,s1972,s2074,s2627,s668,s201,s2017,s530]) ).
cnf(s3961,plain,
( ~ spl0_14
| spl0_11
| ~ spl0_8
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3306,s3559,s2254,s810,s3189,s3887,s1258,s360,s3694,s3919,s3197,s2638,s358,s3960,s2631,s2627,s3537,s3959,s2633,s2661,s893,s3583,s3958,s3957,s480,s3665,s1813,s1951,s3956,s63,s3952,s3926,s433,s1213,s3881,s3940,s1214,s1923,s1944,s2106,s1956,s2088,s289,s3315,s2492,s1515,s905,s1460,s2327,s948,s960,s980,s1141,s1142,s1883,s2864,s2542,s722,s3427,s3935,s929,s8,s115,s3911,s3880,s2017,s201,s530,s1193,s668]) ).
cnf(s3962,plain,
( spl0_318
| ~ spl0_113
| spl0_35
| spl0_53
| spl0_208
| ~ spl0_18
| spl0_219
| spl0_350
| spl0_192
| spl0_191
| spl0_373
| spl0_305
| spl0_85
| spl0_111
| spl0_322
| ~ spl0_20
| spl0_19
| ~ spl0_8 ),
inference(rat,[],[s3708,s3941,s966,s3583,s3342,s3953,s1193]) ).
cnf(s3963,plain,
( spl0_15
| spl0_53
| ~ spl0_47
| spl0_19
| ~ spl0_18
| ~ spl0_389
| ~ spl0_23
| spl0_33
| ~ spl0_8
| spl0_35
| spl0_1 ),
inference(rat,[],[s3962,s2074,s3845,s1846,s358,s2896,s3892,s3885,s3221,s19,s3911,s3577,s1870,s960,s2327,s905,s8,s2492,s289,s2088,s1460,s2864,s1956,s2106,s1515,s1141,s1142,s1944,s1923,s1214,s3315,s980,s3926,s1213,s3881,s201,s2017,s668]) ).
cnf(s3964,plain,
( ~ spl0_47
| ~ spl0_29
| spl0_119
| ~ spl0_23
| spl0_33
| ~ spl0_8
| spl0_35
| spl0_1 ),
inference(rat,[],[s327,s2680,s2682,s168,s3583,s3958,s480,s3665,s1813,s1951,s3956,s3963,s3926,s1214,s1923,s1944,s2106,s1956,s2088,s1213,s289,s3315,s2492,s1515,s905,s1460,s2327,s3902,s3881,s948,s960,s980,s1141,s1142,s1883,s2864,s2885,s8,s3627,s30,s3577,s32,s2356,s1193,s668]) ).
cnf(s3965,plain,
( spl0_97
| ~ spl0_355
| spl0_312
| ~ spl0_314
| spl0_53
| spl0_35 ),
inference(rat,[],[s3692,s3694,s158,s3707,s3708]) ).
cnf(s3966,plain,
( ~ spl0_96
| ~ spl0_209
| ~ spl0_113
| spl0_85
| ~ spl0_29 ),
inference(rat,[],[s683,s2201,s3342]) ).
cnf(s3967,plain,
( spl0_318
| spl0_97
| ~ spl0_55
| ~ spl0_209
| spl0_53
| ~ spl0_113
| ~ spl0_24
| ~ spl0_18
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s3965,s3187,s3724,s1974,s2253,s1949,s359,s2383,s2323,s3354,s1258,s2420,s3355,s1809,s3911,s251,s3586,s201]) ).
cnf(s3968,plain,
( ~ spl0_185
| spl0_53
| ~ spl0_113
| spl0_85
| ~ spl0_24
| ~ spl0_39
| ~ spl0_29
| ~ spl0_23
| spl0_33
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s3965,s1258,s3187,s3189,s1969,s358,s2320,s1545,s2420,s3679,s2415,s1316,s2078,s2112,s1732,s3967,s158,s251,s3708,s3586,s966,s3583,s3966,s2467,s3541,s1213,s3422,s3309,s3845,s2570,s688,s1846,s938,s3665,s3911,s3577,s32,s2356,s201,s668,s1193,s1919]) ).
cnf(s3969,plain,
( ~ spl0_96
| spl0_85
| ~ spl0_24
| spl0_47
| ~ spl0_29
| spl0_33
| ~ spl0_4 ),
inference(rat,[],[s234,s2436,s1946,s2201,s897]) ).
cnf(s3970,plain,
( spl0_318
| spl0_53
| spl0_96
| ~ spl0_18
| spl0_302
| spl0_35 ),
inference(rat,[],[s3795,s3965,s1258,s3455,s3724,s3355,s1974,s1809,s3583,s966,s1193]) ).
cnf(s3971,plain,
( spl0_180
| spl0_69
| ~ spl0_195
| ~ spl0_113
| ~ spl0_356
| ~ spl0_29
| ~ spl0_23
| ~ spl0_9 ),
inference(rat,[],[s2868,s3422,s3537,s3541,s905]) ).
cnf(s3972,plain,
( spl0_208
| ~ spl0_180
| ~ spl0_381
| ~ spl0_318
| spl0_69
| ~ spl0_105
| spl0_185
| ~ spl0_52
| ~ spl0_113
| ~ spl0_71
| ~ spl0_58
| ~ spl0_55
| ~ spl0_251
| ~ spl0_20
| spl0_302 ),
inference(rat,[],[s3955,s2050,s359,s358,s3539,s2638,s3845,s2878,s1316,s810,s1684,s2627,s3537,s822,s683,s2467,s480,s201,s1919,s530]) ).
cnf(s3973,plain,
( spl0_53
| ~ spl0_113
| ~ spl0_356
| spl0_96
| spl0_85
| ~ spl0_251
| ~ spl0_24
| ~ spl0_39
| ~ spl0_13
| ~ spl0_29
| ~ spl0_23
| spl0_33
| ~ spl0_8
| spl0_35
| ~ spl0_9 ),
inference(rat,[],[s3844,s745,s416,s439,s2669,s2028,s3300,s560,s1098,s1706,s390,s3845,s357,s937,s1127,s1132,s2572,s3972,s3971,s2078,s3970,s3707,s3586,s480,s3968,s63,s3911,s3577,s3583,s2415,s1732,s158,s3708,s966,s32,s2356,s794,s201,s668,s1193]) ).
cnf(s3974,plain,
( spl0_110
| spl0_219
| spl0_53
| spl0_73
| ~ spl0_55
| ~ spl0_18
| spl0_35 ),
inference(rat,[],[s3670,s2669,s3677,s2686,s2328,s3540,s1193]) ).
cnf(s3975,plain,
( spl0_15
| spl0_11
| ~ spl0_8
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s415,s1941,s3646,s3974,s3437,s2083,s1545,s3679,s2112,s560,s1098,s1213,s3845,s357,s3926,s1132,s2572,s3636,s2065,s3698,s3665,s796,s1813,s3288,s2544,s3973,s3970,s63,s3707,s88,s1614,s2436,s2415,s1732,s158,s3708,s966,s3583,s3969,s3930,s3221,s19,s3911,s12,s3577,s32,s2356,s3655,s3294,s3964,s36,s3854,s3961,s3880,s2341,s8,s115,s1193,s201,s668]) ).
cnf(s3977,plain,
( ~ spl0_112
| ~ spl0_81
| ~ spl0_268
| ~ spl0_58
| ~ spl0_125
| ~ spl0_15
| spl0_19 ),
inference(rat,[],[s2055,s2075,s597,s3407,s404,s3334]) ).
cnf(s3978,plain,
( ~ spl0_185
| spl0_85
| ~ spl0_113
| spl0_53
| ~ spl0_15
| ~ spl0_39
| ~ spl0_29
| ~ spl0_23
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s2518,s426,s383,s1283,s457,s360,s959,s3446,s3977,s3437,s961,s683,s2415,s1732,s2544,s158,s251,s3707,s3708,s3586,s966,s3583,s3966,s2467,s3541,s3422,s688,s938,s3665,s32,s30,s2356,s201,s530,s1193,s668]) ).
cnf(s3979,plain,
( spl0_73
| spl0_208
| ~ spl0_105
| spl0_185
| ~ spl0_113
| ~ spl0_52
| ~ spl0_15
| spl0_47
| ~ spl0_29
| ~ spl0_23
| ~ spl0_8
| spl0_1 ),
inference(rat,[],[s3293,s464,s1284,s360,s959,s3446,s3977,s1874,s3437,s2403,s961,s3315,s3422,s1608,s2868,s3537,s822,s683,s2467,s3971,s1614,s2436,s2415,s1732,s158,s8,s30,s2356,s3297,s44,s480,s251,s2544,s2105,s2860,s737,s201,s530,s1193,s668]) ).
cnf(s3980,plain,
( ~ spl0_73
| spl0_85
| ~ spl0_39
| ~ spl0_20
| ~ spl0_13 ),
inference(rat,[],[s2415,s852,s828,s327,s668]) ).
cnf(s3981,plain,
( ~ spl0_55
| spl0_73
| spl0_185
| ~ spl0_113
| spl0_53
| ~ spl0_15
| ~ spl0_39
| spl0_47
| ~ spl0_29
| ~ spl0_23
| ~ spl0_8
| spl0_35
| spl0_1 ),
inference(rat,[],[s416,s2669,s3646,s2028,s3974,s3300,s1706,s560,s1098,s390,s3845,s357,s937,s1127,s1132,s2572,s3979,s3586,s32,s2356,s63,s794,s201]) ).
cnf(s3982,plain,
( spl0_85
| ~ spl0_113
| spl0_53
| spl0_11
| ~ spl0_8
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3448,s439,s1321,s2669,s2028,s1706,s560,s1098,s3845,s357,s1127,s1132,s2572,s390,s3315,s2467,s2233,s2680,s3966,s168,s893,s3583,s3971,s234,s3981,s1614,s2436,s2415,s1732,s158,s3980,s480,s3978,s12,s3577,s32,s2356,s3655,s3964,s3854,s3880,s2341,s8,s115,s3975,s63,s794,s36,s3961,s668,s201,s1193]) ).
cnf(s3983,plain,
( ~ spl0_185
| ~ spl0_85
| ~ spl0_113
| ~ spl0_52
| ~ spl0_39
| ~ spl0_20
| ~ spl0_29
| ~ spl0_23 ),
inference(rat,[],[s1608,s3541,s799,s3422,s3845,s688,s1846,s289]) ).
cnf(s3984,plain,
( ~ spl0_73
| ~ spl0_39
| ~ spl0_18
| ~ spl0_29
| spl0_11
| spl0_35 ),
inference(rat,[],[s237,s168,s2415,s3437,s966,s828,s327,s3708,s3577,s668,s1193]) ).
cnf(s3985,plain,
( ~ spl0_113
| spl0_53
| spl0_11
| ~ spl0_8
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2600,s2587,s2065,s3845,s3698,s799,s1608,s3971,s480,s3983,s289,s3982,s30,s3577,s3975,s1614,s2544,s234,s2436,s2415,s1732,s158,s3984,s3655,s32,s2356,s3964,s36,s3854,s3961,s3880,s2341,s8,s115,s63,s668]) ).
cnf(s3986,plain,
( ~ spl0_55
| spl0_113
| spl0_53
| ~ spl0_71
| spl0_73
| ~ spl0_15
| ~ spl0_39
| spl0_47
| ~ spl0_18
| ~ spl0_29
| spl0_35
| ~ spl0_9 ),
inference(rat,[],[s2669,s416,s2028,s3646,s3645,s3315,s3974,s2680,s560,s1098,s875,s1213,s3845,s357,s390,s3926,s1132,s2572,s2233,s3630,s683,s822,s3958,s1684,s1280,s158,s63,s1951,s480,s3665,s1813,s668,s201]) ).
cnf(s3987,plain,
( spl0_318
| spl0_249
| ~ spl0_195
| ~ spl0_329
| ~ spl0_18
| spl0_302 ),
inference(rat,[],[s358,s2080,s2638,s2420,s3302,s1809,s201]) ).
cnf(s3988,plain,
( ~ spl0_318
| spl0_85
| ~ spl0_96
| ~ spl0_71
| spl0_47
| ~ spl0_29
| ~ spl0_23
| spl0_302 ),
inference(rat,[],[s2327,s2427,s3679,s3674,s1545,s2661]) ).
cnf(s3989,plain,
( spl0_318
| ~ spl0_76
| ~ spl0_195
| ~ spl0_329
| ~ spl0_52
| ~ spl0_104
| spl0_73
| ~ spl0_18
| ~ spl0_8
| spl0_35
| ~ spl0_9 ),
inference(rat,[],[s3701,s3791,s1922,s2063,s1608,s358,s3354,s905,s2638,s3355,s3987,s3302,s1809,s3911,s201]) ).
cnf(s3991,plain,
( ~ spl0_173
| ~ spl0_108
| ~ spl0_183
| ~ spl0_85
| ~ spl0_52
| spl0_19 ),
inference(rat,[],[s2253,s3547,s3746,s2271,s3197]) ).
cnf(s3994,plain,
( spl0_108
| spl0_107
| ~ spl0_183
| spl0_106
| ~ spl0_85
| ~ spl0_318
| ~ spl0_76
| ~ spl0_52
| spl0_69
| ~ spl0_71
| ~ spl0_58
| ~ spl0_20
| ~ spl0_23
| spl0_302 ),
inference(rat,[],[s1258,s2043,s3189,s3692,s2253,s1545,s3746,s3679,s3197,s2112,s358,s1213,s2074,s3309,s3845,s201,s1919]) ).
cnf(s3995,plain,
( ~ spl0_355
| ~ spl0_85
| spl0_69
| ~ spl0_58
| spl0_47
| ~ spl0_20
| ~ spl0_8 ),
inference(rat,[],[s1545,s3692,s3674,s3694,s3354,s1258,s3189,s2253,s3746,s2415,s1732,s668]) ).
cnf(s3996,plain,
( spl0_180
| ~ spl0_325
| ~ spl0_371
| ~ spl0_85
| ~ spl0_318
| ~ spl0_76
| ~ spl0_195
| ~ spl0_52
| spl0_69
| ~ spl0_356
| ~ spl0_71
| ~ spl0_58
| ~ spl0_20
| spl0_19
| ~ spl0_23
| spl0_302
| ~ spl0_9 ),
inference(rat,[],[s1817,s359,s3741,s1959,s358,s3991,s3994,s390,s2868,s2627,s3537,s3541,s905,s201,s530]) ).
cnf(s3997,plain,
( spl0_53
| spl0_11
| ~ spl0_8
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3636,s1132,s2065,s3845,s3698,s799,s1608,s3996,s3809,s2063,s3791,s3995,s3988,s3989,s3315,s2680,s168,s3583,s3986,s480,s3665,s1813,s1951,s3985,s63,s3911,s30,s3577,s3975,s1614,s2544,s234,s2436,s2415,s1732,s158,s3984,s3655,s32,s2356,s3964,s36,s3854,s3961,s3880,s2341,s8,s115,s668,s1193]) ).
cnf(s3998,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s88,s3997,s1732,s158,s3984,s3655,s3964,s32,s2356,s36,s3854,s3961,s3880,s2341,s8,s115]) ).
cnf(s3999,plain,
( ~ spl0_185
| ~ spl0_60
| spl0_76
| ~ spl0_73
| ~ spl0_39
| spl0_35 ),
inference(rat,[],[s3300,s1228,s2628,s390,s610,s1048,s688,s3665,s3708,s668]) ).
cnf(s4003,plain,
( spl0_318
| ~ spl0_355
| spl0_76
| ~ spl0_55
| ~ spl0_14
| spl0_47
| spl0_302 ),
inference(rat,[],[s3744,s1616,s3809,s3724,s3674,s1974,s1516,s2415,s2436,s884,s668]) ).
cnf(s4004,plain,
( spl0_193
| ~ spl0_113
| spl0_185
| ~ spl0_73
| ~ spl0_55
| ~ spl0_265
| ~ spl0_24
| ~ spl0_14
| spl0_18
| spl0_53
| spl0_47
| spl0_302
| spl0_35 ),
inference(rat,[],[s2253,s3925,s1949,s1616,s359,s1546,s2424,s3355,s2499,s4003,s2323,s2891,s3197,s2638,s358,s3928,s1469,s610,s3845,s3636,s810,s2631,s1127,s2627,s63,s2542,s3318,s251,s3586,s2415,s2436,s884,s480,s1135,s32,s3546,s3346,s201,s1919,s543,s530,s668]) ).
cnf(s4005,plain,
( spl0_318
| ~ spl0_55
| ~ spl0_14
| spl0_53
| spl0_47
| spl0_302 ),
inference(rat,[],[s3792,s3455,s4003,s1974,s3318,s884]) ).
cnf(s4006,plain,
( spl0_180
| ~ spl0_193
| ~ spl0_379
| spl0_249
| ~ spl0_195
| ~ spl0_125
| spl0_76
| spl0_71
| ~ spl0_73
| ~ spl0_21
| spl0_47
| ~ spl0_8
| spl0_35 ),
inference(rat,[],[s1817,s1616,s359,s1546,s2424,s3355,s3809,s3354,s3674,s2378,s358,s3928,s1469,s3845,s3630,s3636,s876,s937,s390,s1736,s2110,s3911,s2415,s3315,s2269,s3537,s201,s543,s668]) ).
cnf(s4007,plain,
( spl0_208
| ~ spl0_304
| ~ spl0_326
| spl0_108
| spl0_186
| ~ spl0_180
| ~ spl0_318 ),
inference(rat,[],[s1565,s359,s1316,s2383,s3227,s2467,s201]) ).
cnf(s4008,plain,
( ~ spl0_113
| ~ spl0_55
| spl0_18
| spl0_53
| ~ spl0_11
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s3844,s1064,s3445,s3710,s2135,s454,s2082,s390,s357,s937,s2572,s4007,s3809,s2254,s3744,s3925,s1616,s1546,s3191,s2420,s2078,s232,s154,s141,s2587,s1299,s1089,s4006,s3537,s4004,s3546,s3346,s1135,s63,s929,s19,s3414,s722,s2542,s251,s3586,s480,s3999,s2415,s2436,s3318,s884,s2814,s3294,s3655,s115,s4005,s36,s2356,s32,s879,s3911,s201,s2017,s668]) ).
cnf(s4009,plain,
( spl0_249
| spl0_221
| ~ spl0_172
| ~ spl0_193
| ~ spl0_195
| spl0_76
| ~ spl0_52
| spl0_47
| ~ spl0_4 ),
inference(rat,[],[s3844,s1064,s3445,s3710,s2135,s2082,s3537]) ).
cnf(s4010,plain,
( ~ spl0_184
| spl0_221
| ~ spl0_192
| spl0_185
| spl0_76
| ~ spl0_48 ),
inference(rat,[],[s1284,s426,s360,s1064,s1281,s201]) ).
cnf(s4011,plain,
( ~ spl0_55
| spl0_18
| spl0_53
| ~ spl0_11
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s3641,s2328,s922,s3677,s3671,s4010,s560,s454,s357,s3845,s2619,s2587,s1089,s1736,s3934,s390,s2233,s796,s1951,s2488,s4008,s3999,s2415,s3708,s3318,s2436,s3288,s2814,s884,s115,s3655,s3294,s3297,s879,s44,s63,s929,s36,s2356,s32,s737,s201,s668]) ).
cnf(s4012,plain,
( spl0_73
| ~ spl0_96
| spl0_15
| ~ spl0_21
| spl0_18
| ~ spl0_8 ),
inference(rat,[],[s2415,s698,s1732,s2616,s158,s668,s201]) ).
cnf(s4013,plain,
( spl0_193
| ~ spl0_379
| ~ spl0_113
| ~ spl0_73
| ~ spl0_96
| ~ spl0_24
| spl0_53 ),
inference(rat,[],[s3342,s230,s610,s2269,s3636,s2631,s1127,s2627,s530]) ).
cnf(s4014,plain,
( ~ spl0_208
| ~ spl0_193
| spl0_249
| ~ spl0_195
| spl0_76
| ~ spl0_52
| spl0_47
| ~ spl0_4 ),
inference(rat,[],[s4009,s454,s390,s357,s937,s2572,s201]) ).
cnf(s4015,plain,
( ~ spl0_113
| spl0_76
| ~ spl0_73
| ~ spl0_96
| ~ spl0_21
| spl0_18
| spl0_53
| spl0_47
| ~ spl0_4 ),
inference(rat,[],[s876,s390,s3845,s3300,s799,s1228,s3342,s3630,s4014,s2269,s3537,s4013,s3546,s3346,s1135,s63,s32,s19,s722,s480,s3999,s2415,s828,s3655,s115,s668]) ).
cnf(s4016,plain,
( spl0_318
| spl0_208
| spl0_113
| ~ spl0_14
| spl0_47
| spl0_302 ),
inference(rat,[],[s1564,s359,s2088,s3809,s3539,s3679,s3674,s3302,s1516,s1951,s2233,s1460,s2467,s2488,s201]) ).
cnf(s4017,plain,
( spl0_316
| ~ spl0_318
| ~ spl0_24
| spl0_18
| spl0_302
| spl0_35 ),
inference(rat,[],[s2323,s2499,s2420,s3355]) ).
cnf(s4018,plain,
( ~ spl0_355
| spl0_324
| ~ spl0_85
| spl0_76
| ~ spl0_21 ),
inference(rat,[],[s3335,s3809,s2253,s3744,s3746]) ).
cnf(s4019,plain,
( spl0_193
| spl0_113
| ~ spl0_195
| spl0_76
| ~ spl0_60
| ~ spl0_73
| ~ spl0_96
| ~ spl0_24
| ~ spl0_14
| spl0_18
| ~ spl0_52
| spl0_47
| spl0_302
| spl0_35
| ~ spl0_9 ),
inference(rat,[],[s358,s2080,s3197,s3191,s4018,s230,s1616,s2661,s1546,s4017,s4016,s905,s2467,s1127,s2627,s2542,s2488,s201,s530]) ).
cnf(s4020,plain,
( spl0_76
| spl0_18
| spl0_53
| ~ spl0_8
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3445,s426,s3535,s2503,s3625,s922,s3710,s3671,s4010,s3861,s232,s454,s48,s154,s357,s141,s2619,s1299,s1089,s2110,s1736,s4019,s390,s2233,s2488,s4015,s480,s3999,s3315,s8,s3911,s3297,s44,s63,s929,s19,s3708,s115,s2415,s828,s4012,s3583,s4011,s722,s2542,s36,s2356,s32,s3655,s879,s3998,s737,s201,s668,s1193]) ).
cnf(s4021,plain,
( ~ spl0_113
| spl0_69
| ~ spl0_73
| ~ spl0_96
| ~ spl0_24
| spl0_18
| spl0_53
| spl0_35 ),
inference(rat,[],[s4013,s3546,s3537,s3346,s480,s3665,s610,s3342,s1135,s32,s230]) ).
cnf(s4022,plain,
( ~ spl0_318
| spl0_85
| ~ spl0_73
| ~ spl0_96
| ~ spl0_24
| spl0_18
| spl0_302
| spl0_35 ),
inference(rat,[],[s1546,s2661,s4017]) ).
cnf(s4023,plain,
( spl0_18
| spl0_53
| ~ spl0_8
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s905,s3537,s1299,s480,s938,s1127,s4016,s4022,s4021,s141,s48,s3861,s230,s234,s3318,s4020,s4012,s3583,s4011,s19,s722,s2542,s929,s36,s2356,s32,s8,s115,s3911,s879,s3998,s1193]) ).
cnf(s4024,plain,
( spl0_308
| spl0_166
| ~ spl0_104
| spl0_73
| ~ spl0_8 ),
inference(rat,[],[s3792,s2063,s3703,s3354]) ).
cnf(s4025,plain,
( ~ spl0_113
| spl0_208
| ~ spl0_381
| spl0_321
| ~ spl0_96
| ~ spl0_251
| spl0_85
| ~ spl0_24
| ~ spl0_29
| ~ spl0_18
| spl0_47
| spl0_302 ),
inference(rat,[],[s2570,s2878,s3636,s2638,s358,s1960,s3546,s3422,s390,s2233,s3966,s794,s1919,s201]) ).
cnf(s4026,plain,
( ~ spl0_171
| ~ spl0_108
| ~ spl0_183
| ~ spl0_163
| spl0_166
| spl0_73
| spl0_19
| ~ spl0_52
| ~ spl0_39 ),
inference(rat,[],[s3844,s416,s1350,s2670,s3334,s363,s817]) ).
cnf(s4027,plain,
( spl0_73
| spl0_53
| ~ spl0_8
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s439,s1350,s2491,s3844,s3445,s2135,s2082,s357,s4026,s3309,s2868,s2627,s905,s3748,s2580,s480,s1089,s3636,s3665,s3227,s1813,s1951,s4025,s3926,s433,s1213,s2323,s2387,s2427,s3679,s3674,s1545,s2661,s1809,s3355,s4024,s3319,s3315,s1842,s230,s2405,s3437,s234,s1614,s698,s681,s2436,s2415,s1732,s158,s8,s3911,s63,s3577,s115,s19,s722,s3314,s30,s2356,s36,s146,s4023,s3655,s879,s3998,s201,s1919,s530,s2017,s668,s1193]) ).
cnf(s4028,plain,
( spl0_53
| ~ spl0_8
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2197,s3318,s235,s234,s3437,s230,s2415,s966,s327,s3980,s828,s3708,s4027,s19,s722,s3314,s30,s2356,s12,s36,s146,s3577,s4023,s115,s3655,s879,s3998,s1193,s668]) ).
cnf(s4029,plain,
( ~ spl0_8
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1732,s87,s89,s4028]) ).
cnf(s4030,plain,
( ~ spl0_175
| ~ spl0_179
| ~ spl0_20
| spl0_81
| spl0_350
| spl0_73 ),
inference(rat,[],[s3189,s2253,s2668,s2648]) ).
cnf(s4031,plain,
( ~ spl0_47
| ~ spl0_15
| ~ spl0_23
| spl0_73
| spl0_53
| ~ spl0_7
| ~ spl0_9 ),
inference(rat,[],[s358,s2080,s3197,s3191,s3306,s2254,s3189,s1575,s359,s4030,s2631,s2627,s3698,s480,s3948,s3427,s3559,s1012,s3707,s2105,s1923,s1944,s2088,s243,s1619,s3315,s905,s1460,s2817,s980,s1142,s2864,s63,s201,s2017,s530,s668]) ).
cnf(s4032,plain,
( spl0_76
| ~ spl0_29
| ~ spl0_15
| spl0_73
| spl0_53
| ~ spl0_7
| spl0_1 ),
inference(rat,[],[s3583,s3586,s168,s2105,s2403,s1619,s3315,s1193,s668]) ).
cnf(s4033,plain,
( spl0_193
| ~ spl0_105
| ~ spl0_31
| ~ spl0_356 ),
inference(rat,[],[s3782,s2868,s2627,s530]) ).
cnf(s4034,plain,
( ~ spl0_113
| ~ spl0_193
| ~ spl0_297
| ~ spl0_28
| spl0_69
| ~ spl0_39
| ~ spl0_15
| spl0_33 ),
inference(rat,[],[s3309,s688,s2587,s480,s2600,s3537,s3338,s1135,s3658,s576,s1919]) ).
cnf(s4035,plain,
( spl0_18
| spl0_69
| ~ spl0_356
| ~ spl0_39
| ~ spl0_15
| ~ spl0_23
| spl0_33
| spl0_73
| spl0_53
| spl0_1 ),
inference(rat,[],[s3309,s688,s1846,s3698,s2065,s2600,s3227,s1951,s4034,s4033,s3586,s3926,s3861,s3427,s1213,s3214,s3658,s2404,s32,s2544,s576,s1919]) ).
cnf(s4036,plain,
( spl0_302
| spl0_85
| ~ spl0_71
| ~ spl0_195
| ~ spl0_96
| ~ spl0_329
| spl0_249
| ~ spl0_18
| ~ spl0_29
| spl0_47
| ~ spl0_23 ),
inference(rat,[],[s3988,s3987]) ).
cnf(s4037,plain,
( ~ spl0_302
| ~ spl0_37 ),
inference(rat,[],[s3352,s1631,s1800]) ).
cnf(s4038,plain,
( ~ spl0_371
| ~ spl0_85
| ~ spl0_318
| spl0_302
| ~ spl0_71
| ~ spl0_195
| spl0_19
| spl0_180
| ~ spl0_20
| spl0_69
| ~ spl0_104
| ~ spl0_76
| ~ spl0_23
| ~ spl0_58
| ~ spl0_52
| ~ spl0_9 ),
inference(rat,[],[s1271,s3996,s2063,s1614]) ).
cnf(s4039,plain,
( spl0_193
| ~ spl0_18
| spl0_69
| ~ spl0_76
| ~ spl0_29
| spl0_47
| ~ spl0_23
| spl0_73
| spl0_53
| spl0_35
| ~ spl0_9 ),
inference(rat,[],[s1545,s3692,s3674,s3694,s3352,s1258,s3189,s2253,s3746,s3791,s4038,s4036,s3987,s4037,s2415,s1653,s38,s3748,s480,s3583,s3636,s3665,s1280,s1813,s1951,s2227,s3422,s244,s3541,s905,s264,s2631,s2868,s1608,s1127,s1146,s2627,s63,s158,s1614,s3318,s3577,s668,s2017,s1193,s530]) ).
cnf(s4040,plain,
( ~ spl0_185
| ~ spl0_125
| spl0_19
| ~ spl0_113
| ~ spl0_193
| ~ spl0_268
| ~ spl0_13
| ~ spl0_29
| ~ spl0_39
| ~ spl0_15
| ~ spl0_23
| spl0_73
| spl0_1 ),
inference(rat,[],[s745,s2492,s426,s1288,s1283,s2712,s360,s959,s3446,s3977,s3437,s961,s683,s2415,s2467,s2159,s3541,s875,s3422,s390,s688,s938,s158,s201,s530,s1193,s668]) ).
cnf(s4041,plain,
( spl0_209
| ~ spl0_114
| ~ spl0_180
| ~ spl0_55
| spl0_200
| ~ spl0_193
| ~ spl0_18
| ~ spl0_76
| ~ spl0_29
| ~ spl0_39
| spl0_47
| spl0_73
| spl0_53
| spl0_35 ),
inference(rat,[],[s416,s2669,s3646,s2028,s3974,s560,s1706,s1098,s357,s2572,s390,s2467,s2233,s63,s201]) ).
cnf(s4042,plain,
( ~ spl0_304
| ~ spl0_209
| ~ spl0_192
| ~ spl0_104 ),
inference(rat,[],[s1790,s359,s3791,s2383,s2063,s201]) ).
cnf(s4043,plain,
( spl0_302
| spl0_304
| ~ spl0_107
| spl0_96
| ~ spl0_114
| ~ spl0_18
| ~ spl0_29
| ~ spl0_23
| spl0_53
| spl0_35 ),
inference(rat,[],[s2378,s358,s3679,s2050,s2327,s2427,s3970,s201]) ).
cnf(s4044,plain,
( ~ spl0_55
| ~ spl0_113
| ~ spl0_18
| spl0_69
| ~ spl0_76
| ~ spl0_13
| ~ spl0_29
| ~ spl0_39
| spl0_47
| ~ spl0_15
| ~ spl0_23
| spl0_73
| spl0_53
| spl0_35
| spl0_1 ),
inference(rat,[],[s1875,s4043,s3809,s4042,s390,s875,s2159,s2415,s683,s3966,s4041,s799,s3845,s2587,s2600,s822,s2065,s3971,s3537,s3698,s480,s4040,s251,s3586,s571,s158,s1614,s3318,s2544,s4039,s8,s794,s668]) ).
cnf(s4045,plain,
( ~ spl0_185
| ~ spl0_96
| ~ spl0_113
| ~ spl0_20
| ~ spl0_29
| ~ spl0_39
| ~ spl0_23
| ~ spl0_52 ),
inference(rat,[],[s2467,s3541,s3966,s3422,s3983,s688,s938]) ).
cnf(s4046,plain,
( ~ spl0_113
| spl0_69
| ~ spl0_76
| ~ spl0_13
| ~ spl0_29
| ~ spl0_39
| spl0_47
| ~ spl0_15
| ~ spl0_23
| spl0_33
| spl0_73
| spl0_53
| spl0_35
| spl0_1 ),
inference(rat,[],[s3448,s439,s1321,s2669,s2028,s560,s1706,s1098,s357,s2572,s390,s3845,s2467,s2233,s2587,s683,s2600,s822,s2065,s3971,s3537,s3698,s480,s4045,s2415,s30,s2159,s2601,s168,s893,s3583,s4044,s794,s63,s158,s2544,s3577,s4039,s4035,s1614,s3318,s8,s668,s201,s1193]) ).
cnf(s4047,plain,
( spl0_187
| spl0_221
| spl0_219
| ~ spl0_356
| spl0_73
| spl0_1 ),
inference(rat,[],[s3844,s1941,s2503,s2669]) ).
cnf(s4048,plain,
( spl0_11
| spl0_73
| spl0_53
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3844,s744,s416,s439,s4047,s454,s1098,s390,s357,s2331,s2619,s2600,s2065,s3698,s3665,s1813,s4046,s4039,s3577,s4035,s2544,s234,s1614,s3318,s4032,s12,s36,s2542,s3655,s4031,s722,s2520,s11,s3880,s2341,s115,s6,s4029,s8,s201]) ).
cnf(s4049,plain,
( ~ spl0_183
| ~ spl0_24
| ~ spl0_36
| ~ spl0_69
| spl0_18
| ~ spl0_11
| spl0_53 ),
inference(rat,[],[s3346,s797,s3546,s2607,s2269,s1048,s2631,s3707,s2017]) ).
cnf(s4050,plain,
( ~ spl0_381
| spl0_329
| ~ spl0_192
| spl0_185
| spl0_208
| ~ spl0_265
| ~ spl0_69
| ~ spl0_52 ),
inference(rat,[],[s359,s3539,s1790,s2890,s3191,s201,s1919]) ).
cnf(s4051,plain,
( spl0_15
| ~ spl0_36
| ~ spl0_299
| ~ spl0_69
| ~ spl0_91
| spl0_18
| ~ spl0_39
| ~ spl0_11
| spl0_73
| spl0_53 ),
inference(rat,[],[s2638,s358,s3893,s3526,s2080,s2323,s4050,s1135,s3227,s593,s1089,s2110,s3698,s480,s688,s937,s3308,s2628,s4049,s3414,s19,s63,s32,s201,s2294,s2017,s543,s668]) ).
cnf(s4052,plain,
( spl0_76
| spl0_18
| spl0_73
| spl0_53
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3879,s2542,s4032,s722,s4051,s1653,s2415,s2436,s1874,s234,s2403,s1619,s3315,s6,s4029,s8,s3655,s879,s4048,s668]) ).
cnf(s4053,plain,
( ~ spl0_317
| spl0_200
| ~ spl0_108
| ~ spl0_199
| ~ spl0_11 ),
inference(rat,[],[s358,s1960,s2271,s1311,s201]) ).
cnf(s4054,plain,
( spl0_318
| spl0_317
| ~ spl0_85 ),
inference(rat,[],[s3746,s3791,s2254,s2151,s3534,s2017]) ).
cnf(s4056,plain,
( ~ spl0_198
| ~ spl0_85
| ~ spl0_268
| ~ spl0_76
| ~ spl0_58
| ~ spl0_52
| ~ spl0_4 ),
inference(rat,[],[s2075,s2135,s2055,s2027,s2244,s2604,s3448,s785,s2028,s2637,s668]) ).
cnf(s4057,plain,
( spl0_193
| spl0_222
| spl0_198
| ~ spl0_297
| spl0_221
| ~ spl0_36
| ~ spl0_29
| ~ spl0_15
| spl0_69
| ~ spl0_356
| ~ spl0_76
| ~ spl0_39
| ~ spl0_52 ),
inference(rat,[],[s2438,s360,s426,s457,s416,s383,s2667,s363,s357,s1706,s794,s2334,s3636,s2600,s3309,s390,s3748,s2868,s1608,s2627,s3926,s201,s1919,s2017,s530]) ).
cnf(s4058,plain,
( spl0_187
| spl0_222
| spl0_221
| spl0_69
| ~ spl0_356
| spl0_1 ),
inference(rat,[],[s1941,s426,s2667,s2503,s383]) ).
cnf(s4059,plain,
( spl0_18
| spl0_73
| spl0_53
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1706,s591,s357,s360,s426,s787,s457,s416,s2686,s4058,s390,s688,s3665,s3698,s4057,s994,s4056,s1213,s1009,s3432,s2346,s36,s929,s1789,s3559,s19,s3437,s230,s2605,s172,s2544,s3861,s3583,s234,s1614,s3586,s3318,s246,s4052,s32,s8,s115,s63,s158,s3655,s879,s4048,s201,s1193]) ).
cnf(s4060,plain,
( spl0_76
| ~ spl0_29
| ~ spl0_18
| spl0_73
| spl0_53
| ~ spl0_7
| spl0_1 ),
inference(rat,[],[s966,s168,s3707,s2403,s1619,s3315,s668]) ).
cnf(s4061,plain,
( ~ spl0_113
| spl0_166
| spl0_19
| spl0_107
| spl0_180
| ~ spl0_183
| spl0_69
| ~ spl0_356
| ~ spl0_29
| ~ spl0_20
| ~ spl0_39
| spl0_73
| ~ spl0_52
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2027,s1021,s2135,s4058,s1706,s2082,s454,s776,s357,s480,s4026,s1846,s3309,s433,s1213,s3423,s794,s905,s8,s390,s201,s1919]) ).
cnf(s4062,plain,
( spl0_15
| spl0_107
| spl0_180
| ~ spl0_183
| ~ spl0_96
| spl0_69
| ~ spl0_356
| ~ spl0_18
| ~ spl0_11
| spl0_73
| ~ spl0_52
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3844,s1350,s416,s439,s4058,s454,s776,s357,s4026,s3309,s433,s1213,s2387,s3679,s1545,s2661,s3987,s480,s3665,s1813,s1951,s4061,s1799,s698,s3314,s1012,s1939,s230,s19,s3577,s115,s2810,s2415,s2159,s168,s36,s146,s3655,s879,s905,s8,s390,s201,s1919,s668]) ).
cnf(s4063,plain,
( spl0_193
| ~ spl0_96
| spl0_69
| ~ spl0_356
| ~ spl0_76
| ~ spl0_18
| ~ spl0_11
| spl0_73
| ~ spl0_52
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s4057,s994,s4056,s1213,s2603,s1009,s2299,s3660,s30,s3314,s722,s4062,s1016,s2868,s1608,s1146,s2627,s8,s158,s36,s146,s3655,s879,s2544,s530]) ).
cnf(s4064,plain,
( spl0_15
| ~ spl0_193
| ~ spl0_71
| ~ spl0_96
| spl0_69
| ~ spl0_18
| ~ spl0_39
| ~ spl0_11
| spl0_73
| spl0_35 ),
inference(rat,[],[s3423,s2467,s1213,s3966,s3309,s1813,s688,s1846,s938,s3665,s3700,s698,s3314,s1012,s1939,s230,s19,s3577,s36,s146,s2810,s1919,s201]) ).
cnf(s4065,plain,
( spl0_73
| spl0_53
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3309,s688,s1846,s1213,s3698,s2213,s1789,s3314,s722,s4064,s4063,s2415,s2159,s168,s3583,s234,s1614,s3586,s3318,s246,s4060,s36,s146,s3577,s4059,s3655,s879,s4048,s115,s6,s4029,s8,s63,s1919,s668,s1193]) ).
cnf(s4067,plain,
( ~ spl0_187
| spl0_219
| spl0_81
| ~ spl0_20
| ~ spl0_97 ),
inference(rat,[],[s2589,s3670,s3446,s922,s439,s1193,s530]) ).
cnf(s4068,plain,
( ~ spl0_23
| ~ spl0_14
| spl0_76
| spl0_18
| ~ spl0_97
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2712,s3287,s360,s1466,s2536,s3641,s4067,s3346,s2106,s3948,s2492,s1515,s1214,s1944,s960,s1141,s1142,s3926,s3559,s2542,s1213,s3427,s2105,s722,s2404,s2520,s3315,s1619,s6,s4029,s8,s929,s201,s668]) ).
cnf(s4069,plain,
( spl0_193
| spl0_185
| ~ spl0_24
| ~ spl0_60
| ~ spl0_11
| ~ spl0_14
| ~ spl0_69
| spl0_76
| spl0_18
| ~ spl0_73
| spl0_53
| spl0_35
| ~ spl0_9 ),
inference(rat,[],[s3583,s1280,s4019,s3346,s4037,s3546,s38,s2269,s4049,s2631,s2627,s63,s879,s480,s1193,s530]) ).
cnf(s4071,plain,
( spl0_112
| ~ spl0_163
| ~ spl0_209
| ~ spl0_106 ),
inference(rat,[],[s1283,s360,s426,s959,s1350,s3446,s201,s530]) ).
cnf(s4072,plain,
( ~ spl0_112
| ~ spl0_62
| ~ spl0_125
| ~ spl0_21 ),
inference(rat,[],[s3844,s773,s1107,s404]) ).
cnf(s4073,plain,
( ~ spl0_62
| ~ spl0_209
| ~ spl0_207
| ~ spl0_125
| ~ spl0_54
| ~ spl0_106
| ~ spl0_24
| ~ spl0_21
| ~ spl0_69
| ~ spl0_28
| ~ spl0_52 ),
inference(rat,[],[s2528,s3631,s3710,s3325,s773,s426,s457,s1283,s360,s959,s3446,s4072,s774,s201,s530]) ).
cnf(s4074,plain,
( ~ spl0_204
| ~ spl0_155
| ~ spl0_81
| ~ spl0_11 ),
inference(rat,[],[s598,s1057]) ).
cnf(s4075,plain,
( ~ spl0_113
| ~ spl0_193
| ~ spl0_11
| spl0_19
| ~ spl0_69
| spl0_76
| spl0_18
| ~ spl0_73
| spl0_53
| ~ spl0_4 ),
inference(rat,[],[s2635,s458,s3625,s1288,s3420,s2712,s360,s959,s3446,s3334,s4074,s232,s154,s141,s1299,s602,s317,s4073,s2233,s390,s3300,s3437,s1228,s961,s3630,s3636,s2269,s251,s3288,s3546,s4014,s2170,s3583,s3346,s1135,s4015,s63,s32,s19,s722,s3314,s480,s3999,s2415,s2436,s234,s3655,s879,s115,s201,s530,s1193,s668]) ).
cnf(s4076,plain,
( ~ spl0_55
| spl0_33
| spl0_324
| spl0_350
| spl0_111
| ~ spl0_174
| ~ spl0_114
| ~ spl0_155
| ~ spl0_11
| ~ spl0_14
| ~ spl0_69
| spl0_76
| spl0_18
| spl0_53
| spl0_35 ),
inference(rat,[],[s3631,s3280,s3420,s3174,s360,s3277,s959,s3446,s3334,s4074,s3306,s2254,s3355,s3191,s3925,s2439,s2074,s2393,s251,s3922,s3586,s63,s32,s879,s3314,s929,s2050,s543,s201,s530,s2017]) ).
cnf(s4077,plain,
( ~ spl0_112
| ~ spl0_125
| spl0_221
| ~ spl0_21
| spl0_76 ),
inference(rat,[],[s3844,s1064,s1107,s404]) ).
cnf(s4079,plain,
( ~ spl0_112
| spl0_221
| ~ spl0_155
| ~ spl0_11
| spl0_19
| ~ spl0_73
| spl0_35
| spl0_1 ),
inference(rat,[],[s2686,s2503,s601,s426,s1057,s1107,s3334,s3314]) ).
cnf(s4080,plain,
( ~ spl0_14
| spl0_76
| spl0_18
| spl0_53
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3445,s426,s3535,s2503,s3625,s922,s3710,s3671,s1321,s3446,s4079,s893,s4076,s232,s1959,s1922,s560,s454,s154,s358,s3845,s357,s141,s2343,s2587,s584,s1299,s1089,s2110,s317,s1736,s875,s390,s2233,s2488,s4075,s4069,s3999,s19,s2415,s722,s2436,s3655,s3314,s879,s3880,s4068,s929,s63,s3708,s4065,s115,s32,s3315,s234,s1619,s6,s4029,s8,s737,s530,s201,s668]) ).
cnf(s4081,plain,
( ~ spl0_23
| spl0_208
| ~ spl0_36
| ~ spl0_29
| spl0_104
| spl0_76
| ~ spl0_73
| spl0_53
| spl0_8
| ~ spl0_9 ),
inference(rat,[],[s3636,s3748,s602,s1142,s322,s2436,s168,s85,s2170,s3586,s2105,s289,s2520,s3315,s1619,s6,s2017,s668]) ).
cnf(s4082,plain,
( spl0_19
| ~ spl0_11
| spl0_208
| ~ spl0_163
| ~ spl0_36
| ~ spl0_69
| spl0_76
| spl0_18
| ~ spl0_73
| spl0_53
| ~ spl0_4
| ~ spl0_9 ),
inference(rat,[],[s3287,s3683,s1466,s357,s420,s2082,s2528,s2135,s1517,s3445,s426,s1350,s4072,s322,s602,s3636,s905,s2607,s1089,s3227,s1951,s4075,s2628,s4049,s251,s19,s3314,s3559,s3427,s32,s3315,s480,s3999,s3655,s115,s327,s1418,s2415,s2436,s879,s234,s201,s2017,s668]) ).
cnf(s4083,plain,
( ~ spl0_171
| ~ spl0_112
| ~ spl0_180
| ~ spl0_183
| ~ spl0_155 ),
inference(rat,[],[s1288,s403,s3683,s2636,s2604]) ).
cnf(s4084,plain,
( ~ spl0_183
| ~ spl0_209
| ~ spl0_155
| spl0_249
| spl0_185
| ~ spl0_11
| ~ spl0_163
| ~ spl0_36
| ~ spl0_69
| spl0_18
| spl0_53
| ~ spl0_4 ),
inference(rat,[],[s403,s2027,s2635,s2135,s2082,s357,s4083,s2604,s4071,s3346,s797,s2607,s3748,s2269,s2631,s480,s201,s2017]) ).
cnf(s4085,plain,
( spl0_111
| ~ spl0_110
| ~ spl0_39
| ~ spl0_29
| ~ spl0_28 ),
inference(rat,[],[s3646,s420]) ).
cnf(s4087,plain,
( spl0_180
| ~ spl0_107
| ~ spl0_155
| ~ spl0_36
| ~ spl0_69 ),
inference(rat,[],[s2269,s596,s3748,s2017]) ).
cnf(s4088,plain,
( ~ spl0_317
| ~ spl0_108
| ~ spl0_193
| spl0_192
| ~ spl0_81 ),
inference(rat,[],[s1943,s358,s1921,s2271,s201]) ).
cnf(s4089,plain,
( ~ spl0_174
| spl0_302
| ~ spl0_193
| spl0_249
| spl0_192
| ~ spl0_195
| ~ spl0_69 ),
inference(rat,[],[s2310,s2633,s2080,s1943]) ).
cnf(s4090,plain,
( ~ spl0_107
| ~ spl0_155
| ~ spl0_85
| spl0_249
| spl0_192
| spl0_185
| ~ spl0_11
| spl0_208
| ~ spl0_163
| ~ spl0_36
| ~ spl0_69
| spl0_76
| spl0_18
| spl0_53
| ~ spl0_4 ),
inference(rat,[],[s1616,s3744,s3724,s3809,s2310,s3191,s3674,s3526,s2378,s2638,s358,s4089,s3884,s1316,s4054,s4088,s3227,s1089,s4087,s3845,s799,s2628,s4084,s2233,s63,s1418,s2415,s2436,s879,s234,s480,s2294,s201,s668]) ).
cnf(s4091,plain,
( spl0_76
| spl0_18
| spl0_53
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s3748,s2467,s2269,s4084,s2631,s2627,s1736,s390,s4090,s322,s168,s85,s3583,s1136,s571,s1789,s4082,s3999,s2415,s2436,s3655,s879,s3880,s4081,s3926,s433,s1213,s3432,s2346,s36,s4080,s234,s1619,s3315,s115,s6,s4029,s8,s4065,s32,s2017,s530,s1193,s668]) ).
cnf(s4092,plain,
( spl0_11
| ~ spl0_60
| spl0_34
| spl0_18
| ~ spl0_73
| spl0_8
| spl0_1 ),
inference(rat,[],[s327,s3427,s1418,s2520,s28,s341,s3880,s2341,s51,s8,s32]) ).
cnf(s4093,plain,
( ~ spl0_185
| ~ spl0_199
| spl0_209
| ~ spl0_60
| ~ spl0_73
| spl0_35 ),
inference(rat,[],[s317,s875,s602,s2628,s2467,s1048,s938,s3665,s3708,s668]) ).
cnf(s4095,plain,
( spl0_302
| spl0_208
| ~ spl0_14
| spl0_113
| spl0_85
| ~ spl0_24
| ~ spl0_96
| spl0_47
| spl0_18
| ~ spl0_73
| spl0_35 ),
inference(rat,[],[s4022,s4016]) ).
cnf(s4096,plain,
( spl0_19
| spl0_18
| spl0_53
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s602,s3636,s317,s2607,s1875,s38,s1271,s4037,s1631,s4095,s797,s1127,s2627,s3537,s905,s1299,s480,s4093,s390,s2233,s2488,s36,s4021,s230,s3640,s19,s235,s722,s3437,s141,s3314,s3559,s8,s115,s2170,s48,s3861,s3586,s246,s4092,s2415,s828,s3655,s980,s576,s4065,s4029,s234,s3318,s4091,s32,s2017,s530,s1193,s668]) ).
cnf(s4097,plain,
( spl0_180
| spl0_208
| ~ spl0_155
| ~ spl0_36
| ~ spl0_73 ),
inference(rat,[],[s3636,s602,s3748,s2017]) ).
cnf(s4098,plain,
( spl0_18
| spl0_53
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s688,s390,s480,s1736,s3537,s1608,s4097,s3926,s317,s1213,s168,s3432,s2346,s36,s1136,s929,s1789,s4096,s2170,s246,s4092,s2415,s576,s828,s234,s3655,s3318,s980,s4091,s32,s8,s4029,s63,s4065,s668]) ).
cnf(s4099,plain,
( spl0_69
| spl0_53
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s722,s3314,s19,s2213,s230,s3984,s235,s275,s36,s2415,s146,s828,s3655,s980,s1619,s6,s4029,s8,s3437,s327,s3577,s4098,s115,s4065,s668,s1193]) ).
cnf(s4100,plain,
( ~ spl0_113
| ~ spl0_182
| spl0_208
| spl0_305
| spl0_185
| spl0_322
| spl0_350
| spl0_85
| ~ spl0_96
| ~ spl0_20 ),
inference(rat,[],[s359,s3888,s3955,s3342,s201]) ).
cnf(s4101,plain,
( ~ spl0_23
| spl0_76
| ~ spl0_69
| spl0_81
| ~ spl0_18
| ~ spl0_97
| spl0_8
| ~ spl0_4
| ~ spl0_9 ),
inference(rat,[],[s3282,s2638,s3174,s358,s3728,s2080,s2310,s2633,s2661,s3957,s1951,s4100,s2712,s2572,s360,s357,s3884,s2536,s1725,s383,s480,s2106,s2088,s4067,s3948,s1515,s905,s1460,s2327,s1214,s1923,s1944,s948,s1141,s1142,s2864,s2542,s36,s168,s722,s2682,s289,s2520,s3577,s115,s966,s3315,s543,s201,s668]) ).
cnf(s4102,plain,
( spl0_53
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2197,s235,s36,s2415,s146,s2436,s3655,s879,s3880,s4101,s3318,s234,s4099,s3437,s327,s966,s3577,s4098,s3708,s4065,s8,s115,s4029,s668,s1193]) ).
cnf(s4104,plain,
( ~ spl0_211
| ~ spl0_14
| ~ spl0_28
| spl0_33
| ~ spl0_4 ),
inference(rat,[],[s3625,s3535,s2135]) ).
cnf(s4105,plain,
( ~ spl0_185
| spl0_18
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s456,s2503,s2244,s2686,s2636,s787,s357,s1706,s3308,s390,s688,s115,s1228,s2138,s3655,s426,s2027,s578,s3293,s3445,s879,s341,s51,s3952,s1874,s2159,s143,s4104,s36,s3640,s235,s89,s3874,s32,s232,s154,s142,s4102,s201,s2017,s543,s737,s2860]) ).
cnf(s4106,plain,
( spl0_18
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s457,s2503,s360,s456,s2535,s2244,s3636,s2106,s2636,s2607,s1089,s357,s1127,s797,s1706,s875,s3308,s390,s2233,s2488,s3346,s4105,s1515,s2027,s578,s3293,s426,s3445,s4104,s36,s879,s3640,s341,s32,s51,s3952,s961,s1228,s2138,s1653,s8,s235,s3874,s232,s154,s142,s1874,s2159,s89,s143,s4102,s201,s2017,s543,s2860,s737]) ).
cnf(s4107,plain,
( ~ spl0_47
| ~ spl0_23
| ~ spl0_18
| ~ spl0_53
| ~ spl0_9 ),
inference(rat,[],[s3701,s3791,s1923,s1257,s1928,s1809,s3315,s70,s2866,s980,s1870,s143,s87,s235,s89,s3874,s668]) ).
cnf(s4108,plain,
( ~ spl0_185
| ~ spl0_29
| ~ spl0_39
| ~ spl0_18
| spl0_106
| spl0_35 ),
inference(rat,[],[s3422,s1813,s688,s3665]) ).
cnf(s4109,plain,
( spl0_180
| spl0_208
| ~ spl0_29
| ~ spl0_18
| spl0_31
| ~ spl0_36 ),
inference(rat,[],[s1813,s3636,s3423,s3748,s2017]) ).
cnf(s4110,plain,
( ~ spl0_115
| spl0_108
| spl0_206
| ~ spl0_209
| spl0_185
| ~ spl0_20
| spl0_236 ),
inference(rat,[],[s2092,s3887,s1512,s360,s2244,s1283,s1517,s201]) ).
cnf(s4111,plain,
( spl0_115
| spl0_206
| ~ spl0_171
| ~ spl0_180
| ~ spl0_29
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2686,s3540,s2503,s3645,s456,s1288,s2244,s3683,s578,s3293,s426,s115,s235,s3874,s1874,s2159,s89,s143,s4102,s4106,s2860,s737]) ).
cnf(s4112,plain,
( ~ spl0_171
| ~ spl0_209
| spl0_193
| ~ spl0_23
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s2600,s2258,s438,s2587,s383,s360,s2244,s4110,s416,s1283,s1517,s4111,s2636,s87,s3577,s2213,s4108,s3655,s961,s2138,s115,s2627,s4109,s1127,s36,s2542,s4107,s722,s2520,s4029,s4106,s235,s3874,s1653,s89,s8,s143,s4102,s201,s530]) ).
cnf(s4113,plain,
( ~ spl0_384
| spl0_19
| spl0_47
| ~ spl0_15
| ~ spl0_12
| ~ spl0_299
| ~ spl0_4 ),
inference(rat,[],[s455,s2338,s744,s3293,s426,s3334,s3445,s3407,s2135,s36,s2542,s722,s2860,s737]) ).
cnf(s4114,plain,
( spl0_11
| ~ spl0_4
| spl0_1 ),
inference(rat,[],[s1288,s3645,s3683,s2338,s1022,s3671,s2883,s3334,s817,s3845,s799,s4112,s2467,s4109,s2572,s357,s2082,s4113,s480,s4108,s2213,s3902,s275,s36,s3854,s2542,s3655,s4107,s722,s2520,s11,s3880,s115,s4029,s822,s87,s961,s2138,s1653,s8,s235,s3874,s1874,s2159,s89,s143,s4102,s4106,s737,s530,s201]) ).
cnf(s4115,plain,
( spl0_193
| spl0_305
| spl0_322
| ~ spl0_251
| spl0_185
| ~ spl0_29
| ~ spl0_11
| ~ spl0_20
| ~ spl0_18
| spl0_31
| ~ spl0_36 ),
inference(rat,[],[s2878,s3526,s3539,s359,s3955,s797,s3227,s1089,s4109,s1127,s2627,s1919,s2294,s201,s530]) ).
cnf(s4116,plain,
( ~ spl0_4
| spl0_1 ),
inference(rat,[],[s876,s390,s3845,s875,s799,s4115,s2068,s1807,s2432,s246,s3315,s1868,s574,s1841,s722,s3314,s4108,s2213,s168,s275,s36,s146,s3655,s879,s4114,s3577,s4106,s235,s1653,s2159,s961,s1469,s87,s89,s3874,s142,s143,s2138,s4102,s115,s8,s668,s543]) ).
cnf(s4117,plain,
( ~ spl0_47
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s3287,s2712,s1466,s360,s3641,s2536,s3346,s4067,s3948,s327,s3707,s4031,s2679,s10,s3926,s3427,s3940,s1213,s929,s2492,s960,s2404,s1214,s1944,s2106,s42,s313,s3880,s3315,s1515,s3810,s879,s980,s1141,s1142,s1150,s4,s60,s2,s4116,s8,s201,s668]) ).
cnf(s4118,plain,
( ~ spl0_71
| ~ spl0_107
| ~ spl0_114
| ~ spl0_14
| spl0_47 ),
inference(rat,[],[s799,s2868,s3342,s3538,s1614,s683,s2436,s2488,s2233]) ).
cnf(s4119,plain,
( spl0_73
| spl0_71
| ~ spl0_14
| spl0_53
| ~ spl0_28
| spl0_1 ),
inference(rat,[],[s3318,s3315,s3538,s2681,s166,s158,s2,s3831,s4116,s668]) ).
cnf(s4120,plain,
( spl0_11
| ~ spl0_185
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s327,s4119,s1418,s2415,s4118,s3301,s3845,s1846,s3427,s2429,s2404,s341,s3880,s51,s4,s4116,s32,s4117,s929,s668]) ).
cnf(s4121,plain,
( spl0_73
| ~ spl0_185
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s799,s2628,s3845,s1048,s1846,s3707,s3427,s323,s698,s2605,s2596,s2616,s172,s3437,s3538,s681,s2436,s4119,s158,s32,s929,s3829,s4116,s2542,s4117,s668,s201,s1193]) ).
cnf(s4122,plain,
( spl0_97
| ~ spl0_96
| ~ spl0_71
| ~ spl0_73
| ~ spl0_21
| spl0_53
| spl0_18 ),
inference(rat,[],[s698,s2613,s42,s3707,s3708,s201]) ).
cnf(s4123,plain,
( ~ spl0_107
| ~ spl0_71
| ~ spl0_14
| spl0_47 ),
inference(rat,[],[s3846,s4118,s876,s2542]) ).
cnf(s4124,plain,
( ~ spl0_114
| spl0_236
| spl0_35
| ~ spl0_24
| ~ spl0_193
| ~ spl0_96
| spl0_81
| ~ spl0_73
| spl0_208
| ~ spl0_14
| spl0_47
| spl0_18 ),
inference(rat,[],[s1790,s359,s1814,s2527,s4095,s3342,s3291,s799,s201]) ).
cnf(s4126,plain,
( ~ spl0_115
| ~ spl0_85
| ~ spl0_356
| ~ spl0_21 ),
inference(rat,[],[s785,s3446,s1941,s1107,s530]) ).
cnf(s4128,plain,
( ~ spl0_171
| ~ spl0_218
| ~ spl0_85
| ~ spl0_108
| ~ spl0_69
| ~ spl0_185
| spl0_19
| ~ spl0_52
| spl0_1 ),
inference(rat,[],[s3710,s785,s2592,s3446,s2503,s3334,s2686,s817,s787,s4,s4116,s2150,s530]) ).
cnf(s4129,plain,
( ~ spl0_85
| spl0_180
| ~ spl0_108
| ~ spl0_69
| ~ spl0_199
| ~ spl0_356
| ~ spl0_185
| ~ spl0_21
| spl0_19
| ~ spl0_52
| spl0_1 ),
inference(rat,[],[s360,s457,s2438,s2503,s454,s357,s4128,s426,s4126,s3665,s2150,s201]) ).
cnf(s4130,plain,
( spl0_15
| ~ spl0_71
| ~ spl0_185
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s1321,s3446,s1941,s1107,s426,s2535,s360,s3907,s3469,s1559,s3462,s359,s1548,s1804,s2527,s4095,s3342,s4129,s1089,s2587,s3845,s4124,s610,s3665,s2150,s2613,s698,s19,s63,s929,s938,s4120,s681,s1614,s897,s2628,s1048,s4122,s3538,s2436,s4121,s2542,s390,s4123,s4117,s530,s201,s543,s668]) ).
cnf(s4131,plain,
( ~ spl0_71
| ~ spl0_185
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s3352,s3674,s3355,s1545,s1546,s2661,s4016,s4037,s38,s2607,s2600,s2190,s3342,s799,s3845,s610,s1846,s3665,s3427,s42,s4130,s2628,s1048,s4122,s3538,s2436,s8,s929,s2542,s4117,s938,s4120,s4121,s2017,s668]) ).
cnf(s4132,plain,
( spl0_69
| spl0_166
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s3318,s3315,s3538,s2348,s2613,s668]) ).
cnf(s4133,plain,
( ~ spl0_115
| ~ spl0_209
| ~ spl0_114
| ~ spl0_24
| ~ spl0_185
| ~ spl0_14
| spl0_47 ),
inference(rat,[],[s787,s3709,s357,s2528,s1964,s1950,s959,s1210,s360,s3446,s3535,s1283,s1107,s1517,s3445,s2542,s2488,s201,s530]) ).
cnf(s4134,plain,
( spl0_302
| spl0_106
| ~ spl0_114
| ~ spl0_24
| ~ spl0_55
| spl0_35
| ~ spl0_185
| ~ spl0_14
| spl0_47
| spl0_53
| spl0_18 ),
inference(rat,[],[s358,s2320,s2074,s4017,s4005,s201]) ).
cnf(s4135,plain,
( spl0_205
| ~ spl0_81
| spl0_96
| ~ spl0_185
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s3462,s3469,s1548,s1804,s4134,s1950,s959,s3446,s360,s2604,s3420,s597,s3709,s437,s456,s2592,s2500,s2503,s383,s2686,s4,s32,s3583,s2488,s426,s4133,s2233,s390,s3300,s2628,s1048,s3707,s3845,s3927,s3318,s3538,s2542,s1228,s610,s3665,s2150,s2415,s19,s2105,s2170,s4121,s4132,s3832,s4131,s4116,s4117,s543,s530,s201,s668,s1193]) ).
cnf(s4136,plain,
( ~ spl0_205
| ~ spl0_114
| ~ spl0_125
| spl0_76
| spl0_236
| ~ spl0_60
| ~ spl0_73
| ~ spl0_185
| ~ spl0_21 ),
inference(rat,[],[s3609,s4077,s2092,s456,s1512,s357,s613,s787,s201]) ).
cnf(s4137,plain,
( spl0_96
| ~ spl0_185
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s360,s1281,s3420,s1057,s3710,s437,s994,s2592,s2500,s3291,s2503,s383,s4135,s2686,s4136,s426,s4133,s2233,s390,s3845,s19,s3300,s3927,s2105,s251,s3318,s2170,s3538,s8,s4,s32,s63,s2542,s4117,s4120,s2628,s1048,s3707,s1228,s610,s3665,s2150,s4132,s3832,s4116,s4121,s2415,s4131,s201,s668]) ).
cnf(s4138,plain,
( spl0_209
| spl0_35
| ~ spl0_60
| ~ spl0_73
| ~ spl0_185
| spl0_47 ),
inference(rat,[],[s3847,s4093,s2233]) ).
cnf(s4139,plain,
( ~ spl0_185
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s317,s875,s602,s390,s1089,s876,s2587,s3845,s799,s3342,s2488,s4138,s4137,s2628,s610,s1048,s3665,s3707,s2150,s4132,s3832,s2415,s4131,s4121,s4120,s4116,s929,s2542,s4117,s668]) ).
cnf(s4140,plain,
( spl0_302
| ~ spl0_187
| ~ spl0_109
| spl0_111
| ~ spl0_24
| spl0_35
| ~ spl0_55
| ~ spl0_14
| spl0_47
| spl0_53
| spl0_18 ),
inference(rat,[],[s3174,s3280,s3277,s4017,s4005,s543]) ).
cnf(s4141,plain,
( ~ spl0_208
| spl0_249
| ~ spl0_114
| ~ spl0_193
| ~ spl0_11
| ~ spl0_69
| spl0_71
| spl0_76
| ~ spl0_55
| ~ spl0_195
| ~ spl0_14
| spl0_47
| spl0_53
| spl0_18 ),
inference(rat,[],[s1790,s359,s1814,s2527,s4140,s3641,s3420,s4074,s360,s2589,s1281,s3446,s317,s3710,s4077,s1736,s875,s2082,s560,s454,s1098,s390,s357,s937,s2572,s63,s2542,s2415,s251,s2150,s19,s2105,s3586,s201,s530,s668]) ).
cnf(s4142,plain,
( ~ spl0_113
| ~ spl0_114
| ~ spl0_193
| ~ spl0_11
| ~ spl0_69
| spl0_71
| spl0_76
| ~ spl0_55
| spl0_185
| ~ spl0_14
| spl0_47
| spl0_53
| spl0_18
| spl0_4 ),
inference(rat,[],[s2500,s437,s383,s426,s3420,s457,s1283,s360,s959,s3446,s3334,s4074,s317,s4073,s2233,s390,s3437,s3300,s961,s1228,s3630,s3636,s4141,s2269,s3546,s3346,s1135,s32,s929,s2542,s480,s3288,s63,s2415,s251,s19,s2105,s3586,s201,s530,s1193,s668]) ).
cnf(s4143,plain,
( ~ spl0_114
| ~ spl0_193
| ~ spl0_11
| ~ spl0_69
| spl0_71
| spl0_76
| ~ spl0_55
| spl0_185
| ~ spl0_14
| spl0_47
| spl0_53
| spl0_18
| spl0_4 ),
inference(rat,[],[s4076,s232,s560,s1959,s1922,s154,s357,s358,s141,s584,s2343,s1299,s1089,s317,s3934,s875,s390,s2233,s2488,s1951,s4142,s929,s2415,s2150,s201,s668]) ).
cnf(s4144,plain,
( spl0_96
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s1736,s2110,s390,s1089,s876,s2587,s3845,s4143,s4069,s3880,s2391,s2429,s19,s2105,s2150,s2348,s4119,s3832,s2415,s3315,s3586,s2436,s3318,s3583,s3538,s8,s4,s4116,s32,s929,s2542,s4117,s4139,s668,s1193]) ).
cnf(s4145,plain,
( ~ spl0_187
| ~ spl0_97
| ~ spl0_20
| ~ spl0_85 ),
inference(rat,[],[s785,s3670,s3446,s922,s439,s1193,s530]) ).
cnf(s4146,plain,
( spl0_73
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s3448,s3334,s785,s3407,s3710,s2592,s2503,s4145,s3707,s3861,s426,s2605,s4126,s3427,s3437,s1614,s682,s698,s681,s2436,s2596,s2616,s172,s4119,s158,s4,s32,s63,s929,s3829,s4116,s2542,s4117,s4144,s668,s1193,s201]) ).
cnf(s4147,plain,
( ~ spl0_112
| ~ spl0_155
| ~ spl0_11
| ~ spl0_15
| spl0_35
| ~ spl0_73
| spl0_19
| spl0_1 ),
inference(rat,[],[s2592,s3407,s4079,s3334,s4,s4116]) ).
cnf(s4148,plain,
( ~ spl0_91
| ~ spl0_106
| spl0_193
| spl0_81
| ~ spl0_11
| ~ spl0_15
| spl0_62
| spl0_35
| ~ spl0_73
| ~ spl0_96
| spl0_19
| ~ spl0_52
| spl0_1 ),
inference(rat,[],[s1057,s3420,s1219,s1113,s2589,s463,s360,s959,s3446,s4147,s322,s201,s530]) ).
cnf(s4149,plain,
( ~ spl0_112
| spl0_36
| ~ spl0_20
| ~ spl0_21
| ~ spl0_9 ),
inference(rat,[],[s2491,s426,s439,s1107]) ).
cnf(s4150,plain,
( spl0_318
| spl0_221
| ~ spl0_296
| ~ spl0_218
| spl0_302
| ~ spl0_14 ),
inference(rat,[],[s3174,s3424,s3281,s3679,s1401,s1516,s543]) ).
cnf(s4151,plain,
( ~ spl0_106
| spl0_193
| spl0_180
| ~ spl0_15
| ~ spl0_71
| spl0_35
| ~ spl0_73
| ~ spl0_96
| spl0_185
| ~ spl0_14
| spl0_47
| ~ spl0_52
| spl0_1 ),
inference(rat,[],[s3352,s3674,s3355,s1545,s1546,s2661,s4150,s2592,s3407,s3420,s1466,s1113,s426,s2589,s785,s1284,s463,s360,s959,s3446,s4149,s4037,s3297,s38,s3748,s3636,s610,s961,s8,s4,s4116,s3427,s929,s3437,s681,s2542,s1127,s201,s530,s2017,s1193]) ).
cnf(s4152,plain,
( ~ spl0_115
| ~ spl0_71
| ~ spl0_96
| ~ spl0_14
| spl0_47 ),
inference(rat,[],[s3644,s1533,s3535,s4126,s3445,s2542,s1614,s2436]) ).
cnf(s4153,plain,
( spl0_69
| spl0_35
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s3352,s3674,s3355,s1545,s1546,s2661,s4145,s2491,s426,s4152,s4016,s4037,s38,s2607,s2600,s797,s3346,s4151,s1127,s2627,s3537,s905,s1299,s141,s154,s3427,s2341,s232,s698,s3832,s2601,s2613,s8,s4116,s32,s63,s929,s2542,s4117,s480,s4139,s4144,s3708,s4146,s2017,s530,s201]) ).
cnf(s4154,plain,
( spl0_193
| ~ spl0_11
| ~ spl0_24
| ~ spl0_71
| ~ spl0_69
| spl0_35
| ~ spl0_73
| ~ spl0_96
| spl0_185
| ~ spl0_14
| spl0_47
| spl0_53
| spl0_18
| ~ spl0_9 ),
inference(rat,[],[s360,s2712,s474,s3287,s2106,s1466,s1515,s1113,s1057,s3397,s3334,s3174,s3448,s3280,s1546,s2467,s785,s4017,s2488,s3670,s4095,s4016,s3346,s922,s4037,s3546,s2491,s38,s2269,s4049,s2631,s1127,s2627,s929,s3708,s4123,s426,s4152,s201,s543,s668,s1193,s530]) ).
cnf(s4155,plain,
( spl0_302
| ~ spl0_296
| spl0_85
| spl0_221
| ~ spl0_24
| ~ spl0_218
| spl0_35
| ~ spl0_73
| ~ spl0_96
| ~ spl0_14
| spl0_18 ),
inference(rat,[],[s4150,s4022]) ).
cnf(s4156,plain,
( ~ spl0_113
| ~ spl0_193
| ~ spl0_24
| ~ spl0_218
| ~ spl0_199
| spl0_81
| ~ spl0_69
| spl0_35
| ~ spl0_73
| ~ spl0_96
| spl0_185
| ~ spl0_14
| ~ spl0_52
| spl0_18 ),
inference(rat,[],[s1790,s359,s1814,s2527,s4155,s1373,s2056,s3710,s3291,s799,s2082,s454,s3845,s357,s1132,s2572,s3630,s2269,s961,s3546,s3346,s1135,s32,s480,s3437,s201,s1193]) ).
cnf(s4157,plain,
( ~ spl0_302
| ~ spl0_192 ),
inference(rat,[],[s1790,s359,s1814,s2527,s201]) ).
cnf(s4158,plain,
( spl0_302
| spl0_85
| spl0_113
| ~ spl0_24
| ~ spl0_71
| spl0_35
| ~ spl0_73
| ~ spl0_96
| ~ spl0_14
| spl0_47
| spl0_18
| spl0_1 ),
inference(rat,[],[s3644,s613,s1466,s2686,s4155,s2503,s454,s357,s2572,s4095,s390,s4123,s426,s4152,s201]) ).
cnf(s4159,plain,
( ~ spl0_302
| ~ spl0_193
| ~ spl0_11
| ~ spl0_218
| spl0_107
| spl0_81
| spl0_19
| spl0_1 ),
inference(rat,[],[s457,s3636,s2607,s360,s1132,s2587,s474,s2503,s3845,s1559,s3401,s3291,s38,s3462,s3809,s359,s4157,s4037,s1548,s1631,s2527,s8,s2017,s201,s543]) ).
cnf(s4160,plain,
( spl0_221
| spl0_312
| ~ spl0_316
| spl0_180
| spl0_208
| spl0_113
| ~ spl0_218
| ~ spl0_97
| ~ spl0_96
| spl0_1 ),
inference(rat,[],[s1466,s1113,s3287,s3397,s2712,s3174,s3670,s360,s3280,s922,s2438,s2503,s543,s1193,s201]) ).
cnf(s4161,plain,
( spl0_15
| ~ spl0_71
| spl0_35
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s3334,s3448,s817,s785,s357,s3710,s454,s2592,s4160,s1546,s4017,s4016,s1089,s1132,s2587,s3845,s799,s4158,s4159,s4156,s4154,s3880,s2391,s2429,s19,s8,s4,s4116,s63,s929,s4139,s3708,s4146,s4153,s681,s2542,s390,s4123,s426,s4152,s4144,s4117,s668,s201]) ).
cnf(s4162,plain,
( spl0_11
| spl0_379
| spl0_208
| ~ spl0_20
| ~ spl0_218
| ~ spl0_21
| ~ spl0_14
| spl0_18
| spl0_1 ),
inference(rat,[],[s3748,s2467,s4149,s2488,s1350,s3338,s341,s2341,s51,s8,s32,s2017]) ).
cnf(s4163,plain,
( ~ spl0_106
| spl0_193
| ~ spl0_15
| ~ spl0_71
| spl0_35
| ~ spl0_73
| ~ spl0_96
| spl0_185
| ~ spl0_14
| spl0_47
| ~ spl0_52
| spl0_1 ),
inference(rat,[],[s2467,s683,s4151,s961,s3437,s681,s2542,s1127,s1193]) ).
cnf(s4164,plain,
( spl0_193
| ~ spl0_71
| spl0_35
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s3352,s3674,s3355,s1545,s1546,s2661,s4016,s4145,s4037,s2491,s38,s2607,s797,s3346,s4163,s4162,s2269,s2631,s1127,s2627,s8,s63,s2542,s4139,s3708,s4146,s4153,s426,s4152,s4144,s4117,s3427,s4161,s929,s2017,s530]) ).
cnf(s4165,plain,
( spl0_11
| ~ spl0_15
| ~ spl0_218
| spl0_107
| ~ spl0_21
| ~ spl0_14
| spl0_18
| spl0_1 ),
inference(rat,[],[s4162,s2600,s1132,s2587,s3301,s341,s51,s3427,s929]) ).
cnf(s4166,plain,
( spl0_36
| spl0_302
| ~ spl0_15
| ~ spl0_71
| spl0_35
| ~ spl0_73
| ~ spl0_96
| ~ spl0_14
| spl0_47
| spl0_1 ),
inference(rat,[],[s3352,s3674,s3355,s1545,s1546,s2661,s4150,s2592,s3407,s2687,s1466,s1113,s4067,s4145,s2491,s38,s8,s4,s4116,s3708,s681,s2542,s426,s4152,s3427,s929]) ).
cnf(s4167,plain,
( ~ spl0_236
| spl0_208
| ~ spl0_36
| ~ spl0_71
| ~ spl0_73 ),
inference(rat,[],[s3748,s2467,s3636,s683,s610,s2017]) ).
cnf(s4168,plain,
( ~ spl0_186
| ~ spl0_36
| ~ spl0_11
| ~ spl0_15 ),
inference(rat,[],[s2607,s2600,s2017]) ).
cnf(s4169,plain,
( spl0_208
| spl0_85
| spl0_186
| ~ spl0_36
| ~ spl0_71
| ~ spl0_73
| ~ spl0_96 ),
inference(rat,[],[s1951,s3342,s3227,s4167]) ).
cnf(s4170,plain,
( ~ spl0_71
| spl0_35
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s2503,s4067,s454,s1098,s357,s2572,s4169,s799,s3845,s2587,s4168,s4166,s4159,s4165,s4164,s3427,s4161,s426,s390,s4152,s4123,s681,s929,s2542,s4117,s4144,s3708,s4146,s201]) ).
cnf(s4171,plain,
( spl0_193
| spl0_15
| spl0_35
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s613,s2686,s456,s2491,s4160,s426,s1546,s4126,s4017,s4095,s4016,s3346,s4037,s3546,s1614,s38,s2269,s1608,s3318,s4049,s2631,s4069,s1127,s2627,s63,s2542,s4117,s4139,s4144,s3708,s4146,s4153,s2415,s4170,s19,s3880,s2391,s2429,s4,s4116,s8,s530,s668]) ).
cnf(s4172,plain,
( ~ spl0_113
| spl0_208
| ~ spl0_109
| ~ spl0_110
| ~ spl0_24
| ~ spl0_69
| ~ spl0_96
| spl0_185
| ~ spl0_52
| spl0_18 ),
inference(rat,[],[s3710,s2528,s785,s3641,s3342,s457,s3630,s360,s3636,s2269,s959,s3546,s3346,s201]) ).
cnf(s4173,plain,
( spl0_208
| ~ spl0_115
| ~ spl0_193
| ~ spl0_24
| spl0_71
| ~ spl0_69
| spl0_35
| ~ spl0_73
| ~ spl0_96
| spl0_185
| ~ spl0_14
| spl0_47
| spl0_53
| spl0_18 ),
inference(rat,[],[s1614,s3318,s4126,s3315,s4095,s2110,s4157,s1736,s390,s2467,s2233,s2488,s4172,s63,s3535,s3445,s3446,s1107,s2542,s668,s530]) ).
cnf(s4174,plain,
( ~ spl0_115
| ~ spl0_193
| ~ spl0_24
| spl0_71
| ~ spl0_69
| spl0_35
| ~ spl0_73
| ~ spl0_96
| spl0_185
| ~ spl0_14
| spl0_47
| spl0_53
| spl0_18 ),
inference(rat,[],[s922,s3671,s3631,s2056,s560,s2139,s3845,s357,s1132,s2572,s4173,s3535,s3445,s32,s3708,s737,s201]) ).
cnf(s4175,plain,
( spl0_379
| ~ spl0_36
| spl0_180 ),
inference(rat,[],[s3748,s2017]) ).
cnf(s4181,plain,
( spl0_184
| spl0_232 ),
inference(rat,[],[s3671,s737]) ).
cnf(s4182,plain,
( spl0_184
| spl0_232 ),
inference(rat,[],[s3670,s1193]) ).
cnf(s4191,plain,
( spl0_55
| spl0_96 ),
inference(rat,[],[s3583,s1193]) ).
cnf(s4194,plain,
( spl0_312
| spl0_606 ),
inference(rat,[],[s3564,s2315]) ).
cnf(s4195,plain,
( spl0_312
| spl0_606 ),
inference(rat,[],[s3563,s1919]) ).
cnf(s4197,plain,
( ~ spl0_198
| ~ spl0_36
| ~ spl0_182
| spl0_379 ),
inference(rat,[],[s3527,s2017]) ).
cnf(s4198,plain,
( ~ spl0_303
| spl0_381
| ~ spl0_180
| ~ spl0_36 ),
inference(rat,[],[s3526,s2294]) ).
cnf(s4202,plain,
( spl0_335
| spl0_342 ),
inference(rat,[],[s3462,s543]) ).
cnf(s4204,plain,
( spl0_335
| spl0_342 ),
inference(rat,[],[s3460,s668]) ).
cnf(s4206,plain,
( spl0_112
| spl0_109 ),
inference(rat,[],[s3448,s668]) ).
cnf(s4207,plain,
( spl0_109
| spl0_112 ),
inference(rat,[],[s3446,s530]) ).
cnf(s4208,plain,
( spl0_65
| spl0_81 ),
inference(rat,[],[s3437,s1193]) ).
cnf(s4220,plain,
( spl0_76
| spl0_91 ),
inference(rat,[],[s3315,s668]) ).
cnf(s4221,plain,
( ~ spl0_297
| spl0_108
| spl0_107 ),
inference(rat,[],[s3309,s1919]) ).
cnf(s4222,plain,
( ~ spl0_299
| spl0_183
| spl0_107 ),
inference(rat,[],[s3308,s543,s2017]) ).
cnf(s4225,plain,
( spl0_232
| ~ spl0_299
| spl0_115 ),
inference(rat,[],[s3293,s737,s2860]) ).
cnf(s4245,plain,
( ~ spl0_175
| ~ spl0_182
| ~ spl0_110
| ~ spl0_318
| ~ spl0_179
| ~ spl0_184 ),
inference(rat,[],[s3180,s543]) ).
cnf(s4247,plain,
( ~ spl0_326
| ~ spl0_175
| ~ spl0_182
| spl0_322
| ~ spl0_295 ),
inference(rat,[],[s3178,s543]) ).
cnf(s4251,plain,
( spl0_575
| spl0_576 ),
inference(rat,[],[s3174,s543]) ).
cnf(s4289,plain,
( ~ spl0_197
| spl0_232
| spl0_69 ),
inference(rat,[],[s2909,s737]) ).
cnf(s4290,plain,
( ~ spl0_197
| ~ spl0_105
| ~ spl0_112
| spl0_69 ),
inference(rat,[],[s2908,s737]) ).
cnf(s4297,plain,
( ~ spl0_47
| ~ spl0_116 ),
inference(rat,[],[s2885,s1193]) ).
cnf(s4299,plain,
( ~ spl0_116
| ~ spl0_184
| spl0_112 ),
inference(rat,[],[s2883,s530]) ).
cnf(s4302,plain,
( ~ spl0_303
| ~ spl0_381
| ~ spl0_251
| spl0_329 ),
inference(rat,[],[s2878,s1919]) ).
cnf(s4306,plain,
( ~ spl0_298
| spl0_329 ),
inference(rat,[],[s2872,s1919,s2017]) ).
cnf(s4308,plain,
( ~ spl0_46
| ~ spl0_55
| spl0_73
| ~ spl0_14 ),
inference(rat,[],[s2814,s668]) ).
cnf(s4322,plain,
( ~ spl0_41
| spl0_329 ),
inference(rat,[],[s2672,s1919]) ).
cnf(s4324,plain,
( ~ spl0_76
| spl0_379
| ~ spl0_179
| ~ spl0_36 ),
inference(rat,[],[s2641,s2017]) ).
cnf(s4326,plain,
( spl0_183
| spl0_193 ),
inference(rat,[],[s2628,s668]) ).
cnf(s4327,plain,
( spl0_183
| spl0_193 ),
inference(rat,[],[s2627,s530]) ).
cnf(s4330,plain,
( spl0_379
| ~ spl0_36
| ~ spl0_11
| ~ spl0_186 ),
inference(rat,[],[s2607,s2017]) ).
cnf(s4346,plain,
( ~ spl0_206
| ~ spl0_397
| ~ spl0_76 ),
inference(rat,[],[s3785,s530]) ).
cnf(s4348,plain,
( spl0_60
| spl0_71 ),
inference(rat,[],[s2415,s668]) ).
cnf(s4355,plain,
( ~ spl0_42
| spl0_76 ),
inference(rat,[],[s2308,s668]) ).
cnf(s4359,plain,
( spl0_310
| spl0_326 ),
inference(rat,[],[s2254,s2017]) ).
cnf(s4367,plain,
( spl0_4
| ~ spl0_170 ),
inference(rat,[],[s2205,s1193]) ).
cnf(s4390,plain,
( ~ spl0_36
| spl0_76
| spl0_69 ),
inference(rat,[],[s1621,s668]) ).
cnf(s4397,plain,
( spl0_194
| spl0_347 ),
inference(rat,[],[s1512,s201]) ).
cnf(s4399,plain,
( spl0_194
| spl0_347 ),
inference(rat,[],[s1509,s1193]) ).
cnf(s4402,plain,
( spl0_236
| spl0_330 ),
inference(rat,[],[s1469,s543]) ).
cnf(s4410,plain,
( spl0_335
| spl0_342 ),
inference(rat,[],[s1412,s530]) ).
cnf(s4412,plain,
( spl0_335
| spl0_342 ),
inference(rat,[],[s1410,s543]) ).
cnf(s4445,plain,
( spl0_55
| spl0_276 ),
inference(rat,[],[s893,s201]) ).
cnf(s4452,plain,
( spl0_109
| spl0_112 ),
inference(rat,[],[s818,s668]) ).
cnf(s4458,plain,
( ~ spl0_166
| spl0_15
| ~ spl0_21
| ~ spl0_71 ),
inference(rat,[],[s698,s201]) ).
cnf(s4459,plain,
( ~ spl0_74
| spl0_15
| ~ spl0_21
| ~ spl0_71 ),
inference(rat,[],[s687,s201]) ).
cnf(s4461,plain,
( spl0_184
| spl0_232 ),
inference(rat,[],[s495,s201]) ).
cnf(s4462,plain,
( spl0_177
| spl0_178 ),
inference(rat,[],[s360,s201]) ).
cnf(s4463,plain,
( spl0_175
| spl0_176 ),
inference(rat,[],[s359,s201]) ).
cnf(s4464,plain,
( spl0_174
| spl0_173 ),
inference(rat,[],[s358,s201]) ).
cnf(s4465,plain,
( spl0_171
| spl0_172 ),
inference(rat,[],[s357,s201]) ).
cnf(s4466,plain,
( ~ spl0_43
| ~ spl0_74
| spl0_157
| spl0_69 ),
inference(rat,[],[s323,s201]) ).
cnf(s4472,plain,
( spl0_65
| spl0_81 ),
inference(rat,[],[s214,s201]) ).
cnf(s4473,plain,
( ~ spl0_113
| spl0_208
| ~ spl0_193
| ~ spl0_11
| ~ spl0_24
| ~ spl0_60
| ~ spl0_69
| ~ spl0_96
| spl0_185
| ~ spl0_21
| spl0_19
| spl0_18 ),
inference(rat,[],[s3927,s246,s3845,s3559,s799,s4208,s1228,s3342,s961,s3630,s2269,s3546,s3346]) ).
cnf(s4474,plain,
( spl0_208
| ~ spl0_218
| ~ spl0_193
| ~ spl0_11
| ~ spl0_24
| spl0_71
| ~ spl0_69
| spl0_35
| ~ spl0_73
| ~ spl0_96
| spl0_185
| ~ spl0_14
| spl0_47
| spl0_18
| spl0_1 ),
inference(rat,[],[s456,s613,s4160,s2686,s1546,s2491,s4017,s4097,s4016,s317,s4157,s875,s1736,s390,s2467,s2233,s2488,s4473,s8,s929,s2542,s3708,s4348]) ).
cnf(s4475,plain,
( spl0_15
| spl0_35
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s922,s4181,s2503,s1063,s454,s1098,s390,s4465,s937,s2572,s4474,s426,s4174,s4171,s3880,s2391,s2429,s19,s8,s4,s4116,s4117,s4139,s4144,s3708,s4146,s4153,s4170]) ).
cnf(s4476,plain,
( ~ spl0_115
| spl0_379
| spl0_193
| spl0_81
| ~ spl0_20
| ~ spl0_97
| ~ spl0_96
| ~ spl0_14
| spl0_47
| ~ spl0_52
| ~ spl0_28 ),
inference(rat,[],[s2258,s4462,s383,s463,s4067,s2589,s1113,s437,s4207,s3535,s1107,s3445,s2542]) ).
cnf(s4477,plain,
( ~ spl0_187
| ~ spl0_218
| ~ spl0_20
| ~ spl0_60
| spl0_35
| ~ spl0_73
| ~ spl0_96
| ~ spl0_14 ),
inference(rat,[],[s601,s2027,s317,s3535,s773,s1113,s4182,s4067,s922,s2686,s1021,s3708,s327]) ).
cnf(s4478,plain,
( spl0_193
| spl0_35
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s773,s4148,s3346,s3710,s4220,s797,s2592,s4324,s4168,s2503,s2491,s4477,s426,s4476,s2269,s2631,s4327,s8,s4,s4116,s32,s63,s4117,s4139,s4144,s3708,s4153,s341,s1418,s327,s3427,s4475,s929,s4146,s4348,s4170,s51]) ).
cnf(s4479,plain,
( spl0_192
| ~ spl0_193
| spl0_81
| spl0_71
| ~ spl0_21 ),
inference(rat,[],[s876,s390,s3845,s1736,s3291]) ).
cnf(s4480,plain,
( ~ spl0_115
| ~ spl0_192
| ~ spl0_11
| spl0_81
| ~ spl0_69
| ~ spl0_96
| spl0_185
| ~ spl0_14
| spl0_47
| spl0_53
| ~ spl0_28 ),
inference(rat,[],[s1299,s141,s2110,s154,s4220,s232,s3318,s3625,s1639,s3710,s4181,s2589,s1113,s4207,s3535,s1107,s3445,s63,s929,s2542]) ).
cnf(s4481,plain,
( spl0_35
| ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s4462,s3420,s1281,s3407,s3710,s437,s2592,s2500,s2503,s383,s4477,s426,s4480,s4479,s4478,s341,s1418,s327,s3427,s4475,s4348,s4170,s4153,s51,s4,s4116,s32,s63,s929,s2542,s4117,s4139,s4144,s4146]) ).
cnf(s4482,plain,
( ~ spl0_14
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s4458,s3832,s2613,s42,s2150,s4481,s4144,s2542,s4116,s4117]) ).
cnf(s4483,plain,
( ~ spl0_105
| ~ spl0_15
| ~ spl0_7
| ~ spl0_11 ),
inference(rat,[],[s845,s2105]) ).
cnf(s4485,plain,
( ~ spl0_314
| spl0_69
| ~ spl0_76
| spl0_364
| ~ spl0_199
| ~ spl0_183
| spl0_200
| ~ spl0_52 ),
inference(rat,[],[s1960,s4464,s3197,s2043,s3694]) ).
cnf(s4486,plain,
( ~ spl0_115
| ~ spl0_308
| ~ spl0_207
| spl0_69
| ~ spl0_318
| ~ spl0_85
| ~ spl0_58
| spl0_221
| ~ spl0_71
| ~ spl0_15
| spl0_47
| spl0_1 ),
inference(rat,[],[s1953,s4202,s1379,s1955,s1361,s4462,s3407,s457,s2686,s2075,s4058,s4206,s2055,s438,s785,s1533,s1941,s3445,s42,s1614,s2436,s2544,s4463,s2424]) ).
cnf(s4487,plain,
( spl0_73
| spl0_193
| ~ spl0_71
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s4462,s457,s2438,s2503,s426,s4486,s1258,s4485,s3636,s2269,s4324,s1608,s4054,s4032,s172,s158,s63,s4191,s3586,s4483,s10,s2356,s2631,s4327,s4053,s794,s1951,s3227,s3926,s390,s3691,s32,s1009,s2587,s4221,s2868,s1614,s2436,s4117,s1213,s4168,s3432,s313,s60,s2,s8,s2429,s2346,s4,s4116,s36,s4482]) ).
cnf(s4488,plain,
( ~ spl0_115
| ~ spl0_304
| ~ spl0_606
| ~ spl0_71
| spl0_47 ),
inference(rat,[],[s3467,s4202,s2055,s2307,s1533,s1941,s3445,s1614,s3791,s2063,s2436]) ).
cnf(s4489,plain,
( spl0_69
| spl0_305
| ~ spl0_73
| spl0_221
| spl0_364
| ~ spl0_179
| spl0_193
| ~ spl0_71
| spl0_200
| spl0_35
| spl0_208
| ~ spl0_36
| spl0_47
| ~ spl0_52
| spl0_1 ),
inference(rat,[],[s4462,s457,s2438,s2503,s426,s4488,s3809,s1564,s4194,s4463,s1546,s2424,s3355,s3636,s1258,s4324,s1608,s4485,s4390,s4327,s390,s2868,s1614,s2436]) ).
cnf(s4490,plain,
( spl0_193
| ~ spl0_71
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s4462,s2712,s2493,s4197,s3710,s1706,s2082,s1113,s4465,s1361,s4083,s4074,s322,s4071,s4220,s2467,s4324,s4175,s2269,s4489,s1507,s4208,s480,s4054,s961,s1048,s4169,s4167,s3708,s4487,s1009,s3691,s4053,s2587,s4221,s3422,s390,s2631,s2868,s4327,s63,s433,s42,s1135,s794,s1951,s3227,s4168,s3432,s3926,s1213,s168,s4191,s3586,s4483,s2429,s2346,s10,s2356,s32,s4,s313,s60,s2,s4116,s8,s36,s4482,s1614,s2436,s4117]) ).
cnf(s4491,plain,
( spl0_194
| spl0_69
| ~ spl0_185
| spl0_221
| spl0_192
| ~ spl0_58
| ~ spl0_193
| ~ spl0_356
| spl0_35
| spl0_1 ),
inference(rat,[],[s787,s2686,s4465,s4058,s3610,s438]) ).
cnf(s4492,plain,
( ~ spl0_316
| spl0_302
| ~ spl0_187
| ~ spl0_218
| ~ spl0_185
| spl0_221
| spl0_192
| ~ spl0_193
| ~ spl0_71 ),
inference(rat,[],[s3679,s1545,s3424,s1943,s4251,s4464,s3280,s2320]) ).
cnf(s4494,plain,
( ~ spl0_302
| ~ spl0_85 ),
inference(rat,[],[s1791,s1804]) ).
cnf(s4495,plain,
( spl0_69
| spl0_302
| ~ spl0_318
| ~ spl0_81
| ~ spl0_185
| spl0_221
| spl0_364
| spl0_192
| ~ spl0_58
| ~ spl0_193
| ~ spl0_71
| spl0_35
| spl0_208
| ~ spl0_36
| spl0_47
| spl0_1 ),
inference(rat,[],[s1953,s4463,s4202,s3539,s2483,s3787,s1258,s2420,s3355,s4492,s2438,s1955,s4462,s2244,s2687,s457,s1500,s2503,s426,s3445,s1533,s597,s4491,s1614,s2436,s3665]) ).
cnf(s4496,plain,
( ~ spl0_115
| spl0_221
| spl0_192
| ~ spl0_108
| spl0_73
| ~ spl0_193
| ~ spl0_71
| ~ spl0_96
| spl0_35
| spl0_47
| spl0_1 ),
inference(rat,[],[s1113,s4047,s3545,s2686,s817,s787,s4465,s3610,s1533,s3445,s1614,s2436,s3698]) ).
cnf(s4497,plain,
( spl0_73
| ~ spl0_71
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s683,s2493,s2467,s1098,s2438,s4465,s4182,s4462,s787,s922,s457,s2686,s2503,s426,s4496,s3707,s4495,s4494,s4054,s4088,s4208,s3665,s2605,s3698,s572,s1009,s3691,s1789,s2587,s3845,s799,s172,s158,s4367,s4117,s4168,s3432,s3926,s1213,s42,s4191,s3586,s4483,s2429,s2346,s10,s2356,s36,s32,s4,s313,s4482,s60,s2,s4116,s8,s4490]) ).
cnf(s4498,plain,
( ~ spl0_115
| ~ spl0_185
| spl0_69
| spl0_221
| spl0_192
| ~ spl0_108
| ~ spl0_193
| ~ spl0_71
| spl0_35
| spl0_47
| ~ spl0_28
| spl0_1 ),
inference(rat,[],[s437,s4058,s3545,s2686,s817,s787,s4465,s3610,s1533,s3445,s1614,s2436]) ).
cnf(s4499,plain,
( spl0_69
| spl0_221
| spl0_192
| ~ spl0_108
| ~ spl0_73
| ~ spl0_193
| ~ spl0_71
| spl0_249
| spl0_35
| spl0_47
| ~ spl0_28
| spl0_1 ),
inference(rat,[],[s4465,s3610,s787,s613,s2686,s2503,s426,s4498,s480,s3537]) ).
cnf(s4500,plain,
( ~ spl0_316
| ~ spl0_185
| spl0_192
| ~ spl0_73
| ~ spl0_193 ),
inference(rat,[],[s4464,s1943,s2320,s1546]) ).
cnf(s4501,plain,
( ~ spl0_185
| spl0_373
| spl0_305
| ~ spl0_207
| ~ spl0_199
| ~ spl0_178
| ~ spl0_171
| ~ spl0_211
| spl0_181
| spl0_364
| spl0_192
| spl0_302
| ~ spl0_73
| ~ spl0_193
| spl0_35 ),
inference(rat,[],[s1970,s2307,s4464,s4204,s2638,s3471,s3896,s1258,s3355,s4500,s3709,s787]) ).
cnf(s4502,plain,
( ~ spl0_115
| ~ spl0_69
| spl0_364
| ~ spl0_73
| ~ spl0_193
| ~ spl0_71
| ~ spl0_96
| spl0_200
| spl0_249
| spl0_35
| spl0_208
| spl0_186
| ~ spl0_36
| ~ spl0_11
| spl0_47 ),
inference(rat,[],[s1546,s3397,s3355,s4251,s3896,s3282,s2638,s4464,s4089,s480,s4501,s1955,s1507,s4054,s3636,s4053,s4175,s390,s2467,s2233,s1283,s4462,s2493,s1113,s3545,s817,s4465,s3610,s1533,s1941,s3445,s1517,s1614,s2436,s4167,s4494,s1789,s2587,s3845,s799,s4169]) ).
cnf(s4503,plain,
( ~ spl0_71
| spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s3679,s1545,s3424,s3397,s4251,s3282,s2638,s4462,s4464,s2493,s4089,s1113,s480,s1361,s787,s817,s4465,s3610,s4182,s613,s922,s2686,s1350,s2503,s426,s4502,s4499,s1009,s3691,s1789,s2587,s3845,s4494,s799,s4169,s4167,s3708,s4497,s4490,s4117,s433,s42,s1135,s794,s1951,s3227,s4168,s3432,s3926,s1213,s4191,s3586,s4483,s2429,s2346,s10,s2356,s36,s32,s4,s313,s4482,s60,s2,s4116,s8]) ).
cnf(s4504,plain,
( ~ spl0_317
| ~ spl0_187
| ~ spl0_184
| spl0_219
| spl0_302
| ~ spl0_81
| ~ spl0_36
| ~ spl0_11 ),
inference(rat,[],[s4251,s3280,s3397,s2420,s1921,s3788]) ).
cnf(s4505,plain,
( ~ spl0_316
| ~ spl0_187
| ~ spl0_184
| spl0_219
| ~ spl0_73 ),
inference(rat,[],[s4251,s3397,s3280,s1546]) ).
cnf(s4506,plain,
( ~ spl0_183
| ~ spl0_69
| ~ spl0_155
| ~ spl0_81
| ~ spl0_85
| ~ spl0_73
| ~ spl0_96
| spl0_35
| spl0_208
| spl0_186
| ~ spl0_163
| ~ spl0_36
| ~ spl0_11
| spl0_53
| spl0_18 ),
inference(rat,[],[s2638,s4464,s3787,s1972,s2420,s3355,s4505,s1507,s4054,s4504,s383,s2258,s4462,s2712,s2139,s4197,s2056,s403,s3710,s2635,s2082,s4465,s1113,s437,s4083,s1361,s4071,s3346,s480,s2269,s1048,s2631,s63,s1135,s1951,s3227,s32,s3708,s4494,s4074,s2467,s4097]) ).
cnf(s4507,plain,
( ~ spl0_115
| ~ spl0_371
| ~ spl0_176
| spl0_236
| ~ spl0_318
| ~ spl0_209
| spl0_204
| ~ spl0_96
| spl0_53 ),
inference(rat,[],[s3677,s2304,s4181,s4204,s2493,s1953,s4462,s1955,s1113,s1283,s3545]) ).
cnf(s4508,plain,
( ~ spl0_185
| ~ spl0_318
| ~ spl0_193
| spl0_221
| spl0_192
| spl0_204
| ~ spl0_180
| spl0_302
| ~ spl0_73
| ~ spl0_96
| spl0_35
| spl0_208
| ~ spl0_36
| spl0_53
| spl0_1 ),
inference(rat,[],[s4465,s3610,s787,s613,s2686,s2503,s426,s4507,s3791,s1786,s1922,s4463,s4464,s3539,s2638,s3787,s2420,s610,s4500,s3665,s2467]) ).
cnf(s4509,plain,
( spl0_187
| ~ spl0_356
| spl0_219
| spl0_222
| ~ spl0_209
| spl0_221
| ~ spl0_73
| spl0_208
| spl0_1 ),
inference(rat,[],[s610,s3636,s2493,s2258,s4462,s1941,s1283,s426,s2503,s383]) ).
cnf(s4510,plain,
( spl0_53
| spl0_18
| spl0_1 ),
inference(rat,[],[s4461,s4505,s922,s4509,s1614,s3318,s3744,s1616,s3724,s3809,s2420,s2310,s3191,s3674,s4198,s1113,s437,s2378,s2638,s1361,s4464,s4071,s4089,s3346,s480,s4508,s4054,s4088,s390,s3845,s1736,s799,s4326,s4506,s2467,s1009,s1789,s4074,s4097,s3559,s4494,s3708,s2613,s317,s1418,s85,s166,s3832,s4348,s4503,s168,s4191,s3586,s4483,s1135,s1951,s3227,s42,s3926,s4168,s2429,s433,s1213,s10,s3432,s2346,s2356,s313,s36,s4482,s4117,s63,s4,s60,s2,s4116,s8,s32]) ).
cnf(s4511,plain,
( ~ spl0_206
| ~ spl0_69
| spl0_33
| ~ spl0_55
| ~ spl0_28 ),
inference(rat,[],[s3625,s2635,s2328]) ).
cnf(s4512,plain,
( spl0_187
| spl0_206
| ~ spl0_156
| spl0_166
| spl0_73 ),
inference(rat,[],[s3837,s563,s2670]) ).
cnf(s4513,plain,
( ~ spl0_110
| ~ spl0_185
| ~ spl0_187
| spl0_191
| spl0_35
| spl0_19
| ~ spl0_11
| spl0_302
| ~ spl0_36
| spl0_106
| ~ spl0_85
| spl0_200
| spl0_18 ),
inference(rat,[],[s4251,s3280,s3409,s1955,s4017,s4207,s4054,s3547,s1107,s4053,s19,s426,s390,s4168,s1542,s876,s2587,s3845,s1964,s1210,s3314,s4465,s787,s2686,s4462,s457,s3665]) ).
cnf(s4514,plain,
( ~ spl0_185
| ~ spl0_187
| spl0_191
| spl0_221
| spl0_35
| ~ spl0_14
| spl0_33
| spl0_19
| spl0_47
| ~ spl0_11
| spl0_302
| ~ spl0_36
| spl0_106
| ~ spl0_85
| spl0_200
| spl0_18 ),
inference(rat,[],[s3942,s3845,s4150,s1542,s426,s3445,s3535,s1466,s4513,s4462,s457,s3665,s32,s3314]) ).
cnf(s4515,plain,
( spl0_18
| spl0_1 ),
inference(rat,[],[s3843,s782,s3626,s1280,s3346,s4514,s4512,s4511,s2092,s456,s4397,s1363,s2344,s304,s246,s152,s2150,s4220,s149,s883,s96,s232,s4191,s2681,s572,s4297,s341,s1793,s71,s1653,s2159,s961,s277,s154,s166,s3832,s3831,s1228,s239,s3902,s3952,s87,s89,s3874,s142,s143,s145,s2138,s4510,s32,s288,s51,s8,s4367,s4,s2,s4116]) ).
cnf(s4518,plain,
( spl0_221
| ~ spl0_356
| spl0_47
| spl0_69
| spl0_187
| ~ spl0_58
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s1533,s3445,s438,s426,s4058,s2503]) ).
cnf(s4519,plain,
( spl0_302
| ~ spl0_107
| ~ spl0_114
| spl0_106
| ~ spl0_23
| ~ spl0_29
| spl0_96
| spl0_35
| spl0_47
| spl0_53
| ~ spl0_18 ),
inference(rat,[],[s2378,s4464,s3674,s2074,s4043,s3970]) ).
cnf(s4520,plain,
( spl0_96
| ~ spl0_221
| spl0_69
| spl0_73
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s4412,s3469,s1548,s1804,s4519,s3422,s3845,s1813,s1846,s3665,s3698,s745,s959,s1281,s426,s4462,s4207,s1022,s1517,s1518,s2604,s3709,s4039,s3540,s455,s3880,s12,s36,s246,s3538,s2431,s980,s3318,s4220,s2680,s883,s8,s145,s3577,s2508,s2592,s4,s4116,s4515]) ).
cnf(s4521,plain,
( spl0_318
| spl0_302
| ~ spl0_183
| spl0_200
| ~ spl0_199
| ~ spl0_14
| spl0_35
| ~ spl0_76
| spl0_69
| ~ spl0_52
| spl0_1 ),
inference(rat,[],[s4485,s2593,s1258,s3679,s3355,s1516,s1809,s8,s4515]) ).
cnf(s4523,plain,
( ~ spl0_302
| ~ spl0_111 ),
inference(rat,[],[s4412,s3469,s1548,s1804]) ).
cnf(s4524,plain,
( ~ spl0_185
| spl0_302
| spl0_192
| spl0_106
| spl0_200
| spl0_85
| ~ spl0_14
| ~ spl0_96
| spl0_35
| ~ spl0_76
| spl0_69
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s1258,s3694,s3355,s2593,s3197,s2320,s3679,s4464,s1545,s2074,s2661,s4521,s4327,s3291,s3845,s1846,s8,s63,s145,s3577,s4515,s681,s2542,s390,s4123,s980]) ).
cnf(s4525,plain,
( ~ spl0_14
| spl0_69
| spl0_187
| spl0_73
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s2424,s1258,s4463,s4485,s1564,s2593,s3809,s1316,s3679,s3674,s3227,s1545,s3636,s2600,s2661,s4175,s4521,s1608,s4327,s3698,s4524,s4523,s1281,s959,s591,s1321,s785,s4462,s4207,s4458,s1518,s2604,s2618,s2244,s2028,s2637,s2572,s438,s994,s4465,s2491,s2500,s454,s426,s390,s4152,s4123,s2542,s63,s383,s2508,s2592,s897,s4520,s4518,s1614,s3318,s145,s980,s4220,s2680,s883,s4,s4116,s8,s158]) ).
cnf(s4526,plain,
( spl0_193
| spl0_31
| ~ spl0_36
| ~ spl0_29
| ~ spl0_76
| ~ spl0_52
| ~ spl0_18 ),
inference(rat,[],[s4109,s1608,s1127]) ).
cnf(s4527,plain,
( spl0_69
| spl0_187
| spl0_73
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s3966,s2467,s1813,s4109,s3665,s938,s3698,s4526,s433,s1350,s2491,s1281,s785,s426,s4462,s4207,s1022,s1517,s1518,s2604,s3709,s3540,s455,s36,s4525,s4520,s2508,s2592,s4518,s1614,s3318,s980,s4220,s2680,s883,s8,s4,s4116,s4515,s63,s145,s158]) ).
cnf(s4528,plain,
( spl0_193
| spl0_184
| spl0_191
| ~ spl0_97
| spl0_187
| ~ spl0_52 ),
inference(rat,[],[s487,s4462,s1048,s463,s4327]) ).
cnf(s4529,plain,
( ~ spl0_47
| spl0_19
| ~ spl0_97
| ~ spl0_69
| spl0_187
| spl0_73
| ~ spl0_52
| spl0_1 ),
inference(rat,[],[s1198,s2105,s4306,s3559,s2570,s3948,s3665,s3698,s4528,s769,s1214,s1944,s2106,s3880,s4220,s1515,s879,s980,s1141,s1142,s4,s4116,s3577,s2150,s4515]) ).
cnf(s4530,plain,
( ~ spl0_14
| spl0_187
| spl0_73
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s2269,s4175,s2631,s1608,s4327,s3698,s3948,s1281,s4220,s4462,s2680,s1518,s773,s2244,s3710,s2635,s438,s2592,s2491,s2500,s2503,s426,s681,s4152,s2542,s4529,s929,s8,s4,s4116,s63,s158,s383,s3577,s2150,s966,s3707,s4527,s145,s4515]) ).
cnf(s4531,plain,
( spl0_193
| ~ spl0_76
| ~ spl0_69
| spl0_187
| ~ spl0_58
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s438,s2258,s1533,s4462,s3445,s1284,s426,s3297,s2491,s38,s4175,s2269,s1048,s2631,s1608,s4327,s63,s383,s3707,s145,s980]) ).
cnf(s4532,plain,
( ~ spl0_115
| ~ spl0_193
| ~ spl0_356
| spl0_47
| ~ spl0_29
| ~ spl0_96
| spl0_187
| spl0_73 ),
inference(rat,[],[s433,s3423,s3301,s2467,s2233,s3966,s799,s3287,s3845,s3683,s2572,s817,s4465,s3545,s1466,s1098,s1113,s2669,s1941,s1517]) ).
cnf(s4533,plain,
( spl0_187
| spl0_73
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s1813,s3966,s3665,s2467,s3698,s4109,s2572,s1281,s433,s785,s4465,s4462,s1350,s4207,s1098,s1518,s2604,s2669,s2244,s3710,s2635,s438,s2592,s2491,s2500,s2503,s426,s4532,s4531,s1614,s3318,s980,s4220,s2680,s168,s36,s4530,s966,s3707,s2150,s4527,s383,s8,s4,s4116,s4515,s63,s145,s158]) ).
cnf(s4534,plain,
( spl0_35
| ~ spl0_185
| ~ spl0_187
| ~ spl0_18 ),
inference(rat,[],[s1964,s959,s4462,s4465,s1210,s3845,s4207,s457,s787,s3540,s1846,s439,s3665,s2686,s3577]) ).
cnf(s4535,plain,
( ~ spl0_194
| spl0_180
| ~ spl0_183
| ~ spl0_199
| spl0_115
| spl0_181
| ~ spl0_71 ),
inference(rat,[],[s1705,s2106,s4465,s1515,s2636,s2027,s2244,s1533]) ).
cnf(s4536,plain,
( spl0_384
| spl0_194
| spl0_180
| spl0_193
| ~ spl0_218
| ~ spl0_268
| ~ spl0_58
| ~ spl0_52
| ~ spl0_6 ),
inference(rat,[],[s463,s4462,s2055,s2438,s2075,s2592]) ).
cnf(s4537,plain,
( spl0_193
| ~ spl0_14
| spl0_69
| spl0_73
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s2535,s2106,s4462,s1515,s463,s2028,s785,s4207,s3644,s439,s3540,s3577,s3709,s2508,s4536,s4535,s1608,s4327,s4515,s63,s158,s1021,s4533,s2544,s390,s4123,s426,s4152,s3538,s3318,s145,s980,s4220,s2680,s883,s4,s4116,s8]) ).
cnf(s4538,plain,
( spl0_318
| ~ spl0_37
| spl0_35
| ~ spl0_14
| spl0_47
| ~ spl0_18 ),
inference(rat,[],[s3352,s3674,s3355,s1516,s1809]) ).
cnf(s4539,plain,
( ~ spl0_37
| spl0_111
| spl0_85
| spl0_35
| ~ spl0_96
| ~ spl0_14
| spl0_47
| ~ spl0_187
| ~ spl0_71
| ~ spl0_18 ),
inference(rat,[],[s3355,s3352,s3280,s3674,s4251,s1545,s3277,s2661,s4538,s4207,s439,s3577]) ).
cnf(s4542,plain,
( spl0_318
| ~ spl0_36
| ~ spl0_11
| spl0_302
| spl0_35
| ~ spl0_14
| spl0_69
| spl0_1 ),
inference(rat,[],[s3795,s2151,s3694,s2593,s3788,s1258,s3679,s2420,s3355,s1516,s1809,s8,s4515]) ).
cnf(s4543,plain,
( spl0_35
| ~ spl0_14
| spl0_69
| spl0_73
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s2483,s4204,s1258,s3405,s3355,s2593,s3809,s3280,s3679,s3674,s4251,s1545,s3277,s1955,s2661,s4542,s38,s4539,s11,s744,s560,s454,s4465,s799,s2572,s3845,s2467,s3677,s2587,s683,s4181,s2600,s822,s905,s2589,s2065,s4157,s4459,s3537,s1113,s4207,s3698,s3626,s480,s3540,s439,s4534,s2686,s3577,s4515,s158,s4533,s2544,s929,s681,s2542,s390,s4123,s426,s4152,s3538,s3318,s145,s980,s4220,s2680,s883,s4,s4116,s8,s4537]) ).
cnf(s4544,plain,
( ~ spl0_184
| spl0_180
| ~ spl0_108
| spl0_111
| spl0_378
| ~ spl0_199
| ~ spl0_276
| spl0_115
| spl0_19
| spl0_181
| ~ spl0_71 ),
inference(rat,[],[s1705,s2106,s4465,s1515,s817,s2027,s3334,s1533,s4206,s2055,s1321]) ).
cnf(s4545,plain,
( spl0_318
| spl0_180
| spl0_208
| spl0_302
| spl0_85
| spl0_324
| spl0_381
| ~ spl0_96
| ~ spl0_14
| spl0_47
| ~ spl0_268
| ~ spl0_9 ),
inference(rat,[],[s4463,s2716,s1817,s2593,s3809,s3630,s3679,s3674,s3342,s1516,s4016]) ).
cnf(s4546,plain,
( ~ spl0_14
| spl0_69
| spl0_73
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s4464,s1970,s2638,s2088,s3282,s3679,s3674,s4251,s1545,s3277,s2661,s4545,s4207,s404,s4544,s4462,s250,s2438,s1460,s141,s1089,s154,s2587,s2341,s232,s3845,s938,s1799,s1946,s2528,s230,s3291,s3698,s4458,s19,s2065,s3295,s2075,s2592,s42,s2191,s2507,s2508,s4543,s4537,s426,s390,s681,s897,s4152,s4123,s2542,s3538,s929,s158,s1021,s4533,s2544,s980,s3318,s4220,s2680,s883,s4,s4116,s8,s145]) ).
cnf(s4547,plain,
( ~ spl0_184
| spl0_219
| ~ spl0_96
| spl0_105
| ~ spl0_109
| spl0_73 ),
inference(rat,[],[s29,s3559,s2603,s2589,s785]) ).
cnf(s4548,plain,
( spl0_35
| spl0_193
| spl0_69
| spl0_73
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s2438,s4462,s426,s463,s1941,s4547,s1113,s2431,s246,s455,s4207,s3880,s3540,s439,s4039,s2686,s3577,s4515,s4533,s980,s1614,s3318,s36,s4546,s1608,s63,s145,s4220,s2680,s883,s4,s4116,s8]) ).
cnf(s4549,plain,
( ~ spl0_184
| ~ spl0_21
| ~ spl0_276
| spl0_111
| spl0_378
| ~ spl0_199
| spl0_180
| ~ spl0_183
| spl0_181
| ~ spl0_71 ),
inference(rat,[],[s1107,s4535,s4206,s2055,s1321]) ).
cnf(s4550,plain,
( spl0_193
| spl0_69
| spl0_73
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s745,s426,s404,s1941,s4549,s3314,s2341,s1946,s250,s4445,s141,s1280,s154,s3423,s2528,s62,s2429,s1060,s19,s2075,s42,s2508,s4548,s390,s2631,s2868,s1608,s4327,s1404,s3,s63,s158,s1021,s4533,s2544,s1614,s3318,s4220,s2680,s883,s4,s4116,s8,s145,s36,s12,s4546]) ).
cnf(s4551,plain,
( spl0_35
| spl0_69
| spl0_73
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s1258,s2043,s3355,s3692,s3280,s1545,s4251,s3679,s3277,s2387,s3970,s3644,s2244,s2637,s3645,s560,s799,s1213,s3845,s4465,s3926,s1132,s2572,s2467,s683,s822,s905,s4157,s3537,s4207,s3698,s480,s3540,s439,s4534,s2686,s3577,s4515,s63,s145,s158,s1021,s4533,s4220,s2680,s883,s4,s4116,s8,s36,s4546,s4550]) ).
cnf(s4552,plain,
( spl0_206
| spl0_378
| spl0_181
| spl0_53 ),
inference(rat,[],[s2055,s4182,s2244,s3677]) ).
cnf(s4553,plain,
( spl0_69
| spl0_73
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s3445,s1533,s1705,s3610,s2106,s4465,s390,s1089,s817,s876,s2587,s3845,s3291,s3559,s3314,s246,s2341,s1946,s4445,s2328,s2687,s3645,s1515,s2637,s4552,s2429,s1060,s19,s2065,s2075,s42,s2191,s2508,s4551,s4550,s36,s4546,s980,s4220,s2680,s883,s2544,s8,s4,s1404,s4116,s145,s158,s1021,s4533]) ).
cnf(s4554,plain,
( spl0_73
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s22,s3314,s2492,s2027,s681,s1321,s30,s1533,s4067,s4207,s4182,s2603,s3644,s1113,s897,s3540,s439,s922,s4145,s966,s2686,s3577,s3707,s2150,s4553,s1021,s4533,s4515,s145]) ).
cnf(s4555,plain,
( ~ spl0_184
| ~ spl0_14
| spl0_193
| spl0_187
| ~ spl0_96
| spl0_69
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s785,s4207,s4169,s3334,s2600,s3407,s4324,s4390,s2592,s2491,s2503,s426,s4458,s4152,s2542,s948,s2667,s2666,s8,s4,s4116,s4554,s383,s1127,s2631,s4327,s145,s929]) ).
cnf(s4556,plain,
( spl0_184
| spl0_193
| spl0_187
| ~ spl0_97
| ~ spl0_73
| ~ spl0_52 ),
inference(rat,[],[s2092,s4397,s610,s613,s3636,s3709,s2258,s2082,s776,s564,s4465,s4462,s4528,s363,s463,s1022,s383,s1127,s480,s1048,s4327]) ).
cnf(s4557,plain,
( spl0_76
| spl0_206
| ~ spl0_356
| ~ spl0_29
| ~ spl0_198
| spl0_187
| ~ spl0_96
| spl0_81
| spl0_62
| spl0_69
| ~ spl0_9 ),
inference(rat,[],[s3644,s2244,s3545,s4126,s1517,s1057,s3314,s426,s3880,s2491,s2299,s2682,s4390,s4220]) ).
cnf(s4558,plain,
( spl0_110
| ~ spl0_182
| ~ spl0_115
| spl0_180
| ~ spl0_356
| ~ spl0_29
| ~ spl0_198
| ~ spl0_195
| spl0_69
| ~ spl0_9 ),
inference(rat,[],[s22,s3971,s1057,s3287,s3545,s1466]) ).
cnf(s4559,plain,
( ~ spl0_115
| spl0_193
| spl0_187
| spl0_35
| spl0_69
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s2146,s4488,s1807,s4194,s1545,s3679,s2387,s3987,s433,s1951,s3301,s3971,s817,s3880,s3334,s3314,s4206,s4126,s4494,s2589,s3644,s1113,s4558,s1012,s1325,s2244,s3683,s392,s1517,s4208,s1046,s905,s1608,s4557,s2636,s4465,s776,s480,s1048,s4327,s1614,s2436,s948,s36,s4555,s994,s2667,s4556,s383,s966,s3708,s327,s3577,s4515,s4554,s883,s4,s4116,s63,s145,s8]) ).
cnf(s4560,plain,
( spl0_193
| spl0_187
| spl0_35
| spl0_69
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s3422,s1813,s961,s3636,s4167,s4324,s2491,s426,s4559,s4557,s2636,s1046,s1614,s4465,s2436,s36,s776,s948,s994,s4555,s2667,s4556,s480,s1048,s2631,s1127,s4327,s8,s63,s145,s883,s4,s4116,s966,s3708,s4208,s327,s3577,s4515,s4554,s383]) ).
cnf(s4563,plain,
( ~ spl0_207
| spl0_85
| ~ spl0_96
| ~ spl0_73
| ~ spl0_18 ),
inference(rat,[],[s3342,s610,s1813]) ).
cnf(s4565,plain,
( ~ spl0_185
| ~ spl0_193
| spl0_35
| ~ spl0_73
| ~ spl0_18 ),
inference(rat,[],[s799,s3845,s4563,s1846,s3665,s3577,s966,s3708]) ).
cnf(s4566,plain,
( ~ spl0_222
| ~ spl0_178
| ~ spl0_180
| ~ spl0_195
| ~ spl0_9 ),
inference(rat,[],[s2712,s2572,s1288,s4465,s776,s994]) ).
cnf(s4567,plain,
( spl0_187
| spl0_35
| spl0_69
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s1639,s4181,s426,s2436,s2667,s2500,s1142,s4566,s4462,s564,s905,s3537,s480,s4565,s4560,s383,s8,s4116,s4515,s4554]) ).
cnf(s4568,plain,
( spl0_35
| spl0_69
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s3644,s613,s3540,s4145,s2686,s4567,s966,s3708,s3577,s4515,s4554]) ).
cnf(s4569,plain,
( ~ spl0_184
| ~ spl0_113
| ~ spl0_183
| spl0_187
| spl0_106
| spl0_15
| spl0_69
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s3422,s1046,s36,s2436,s2542,s948,s4458,s2667,s2666,s383]) ).
cnf(s4570,plain,
( spl0_193
| ~ spl0_125
| ~ spl0_54
| spl0_187
| spl0_111
| spl0_106
| spl0_15
| spl0_69
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s1950,s4207,s4462,s404,s463,s4569,s796,s4327,s63,s145]) ).
cnf(s4571,plain,
( ~ spl0_184
| ~ spl0_193
| spl0_181
| spl0_187
| spl0_31
| spl0_19
| spl0_192
| spl0_15
| spl0_384
| spl0_69
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s3423,s3287,s1288,s3683,s1466,s4465,s1210,s3610,s2087,s1533,s36,s2341,s2027,s2542,s3314,s948,s994,s4458,s2667,s2666,s19,s383]) ).
cnf(s4572,plain,
( spl0_96
| ~ spl0_115
| spl0_187
| spl0_106
| spl0_31
| spl0_19
| spl0_192
| spl0_15
| spl0_384
| spl0_69
| ~ spl0_73
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s2087,s940,s1210,s2436,s2328,s1639,s3677,s4181,s4571,s4570,s251,s3288,s2170,s4191,s63,s145,s2528,s19,s1517]) ).
cnf(s4573,plain,
( spl0_187
| spl0_69
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s2666,s1941,s4458,s1614,s3314,s2436,s2341,s940,s1946,s897,s4572,s426,s2503,s8,s4554,s2592,s2508,s2065,s2544,s1060,s1404,s2429,s4,s4116,s3546,s19,s42,s2191,s4568]) ).
cnf(s4574,plain,
( ~ spl0_47
| ~ spl0_113
| spl0_31 ),
inference(rat,[],[s22,s2865,s879]) ).
cnf(s4575,plain,
( spl0_193
| spl0_96
| spl0_106
| spl0_31
| ~ spl0_71 ),
inference(rat,[],[s3422,s36,s1046,s3538,s2436,s4574,s796,s4327,s3288,s4191,s63,s145]) ).
cnf(s4576,plain,
( ~ spl0_47
| ~ spl0_193
| ~ spl0_55
| spl0_31
| spl0_62
| spl0_69
| ~ spl0_9 ),
inference(rat,[],[s387,s480,s322,s3537,s1280,s4220,s905,s4574,s980,s1142]) ).
cnf(s4577,plain,
( ~ spl0_113
| ~ spl0_182
| ~ spl0_378
| ~ spl0_211
| ~ spl0_29
| ~ spl0_105
| ~ spl0_55
| spl0_181
| spl0_31
| ~ spl0_24
| spl0_381
| spl0_62
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s3467,s4202,s3791,s4194,s3463,s3455,s3724,s1401,s1974,s2078,s2341,s246,s4220,s322,s1466,s451,s3645,s1288,s3423,s3893,s145,s2323]) ).
cnf(s4578,plain,
( ~ spl0_211
| ~ spl0_29
| ~ spl0_193
| ~ spl0_105
| ~ spl0_55
| ~ spl0_184
| spl0_181
| spl0_85
| spl0_31
| spl0_19
| ~ spl0_24
| spl0_192
| spl0_381
| spl0_384
| spl0_62
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s681,s3314,s4208,s2341,s2069,s2087,s1210,s1466,s3287,s4577,s3683,s4465,s3610,s2055,s1533]) ).
cnf(s4579,plain,
( spl0_96
| ~ spl0_184
| spl0_181
| spl0_106
| spl0_31
| spl0_19
| spl0_192
| spl0_221
| spl0_15
| spl0_381
| spl0_384
| spl0_62
| spl0_69
| ~ spl0_73
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s3467,s4202,s3791,s4194,s3463,s3455,s3724,s1401,s1974,s3911,s2078,s2520,s2341,s3880,s246,s4552,s1064,s2328,s1466,s426,s3645,s3445,s2027,s4578,s36,s3538,s2436,s4576,s4575,s2170,s4191,s145,s230,s19]) ).
cnf(s4580,plain,
( spl0_193
| ~ spl0_76
| ~ spl0_346
| spl0_302
| spl0_115
| ~ spl0_204
| spl0_47
| ~ spl0_96
| spl0_181
| spl0_106
| spl0_85
| spl0_31
| spl0_324
| spl0_221
| spl0_381
| ~ spl0_268
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s4251,s3282,s3424,s2638,s3679,s4464,s1545,s2074,s2661,s4545,s36,s3423,s3845,s3287,s817,s1466,s2712,s4465,s3644,s4462,s1705,s4535,s2438,s2106,s390,s1608,s2868,s1127,s4327,s63,s145,s1614,s2436,s426]) ).
cnf(s4581,plain,
( ~ spl0_184
| spl0_69
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s1705,s2106,s4465,s390,s1089,s817,s876,s2587,s3845,s3291,s4580,s4220,s1515,s1798,s2348,s1057,s1107,s4458,s681,s3334,s3314,s4206,s2341,s940,s1321,s1946,s897,s4579,s8,s4554,s883,s2592,s3295,s2507,s2065,s2544,s1060,s1404,s2429,s4,s4116,s230,s3546,s2191,s2528,s19,s42,s2508,s4568,s1021,s4573]) ).
cnf(s4582,plain,
( spl0_193
| spl0_69
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s1608,s4220,s2438,s2348,s426,s4458,s1639,s3314,s2436,s2341,s940,s1946,s4462,s897,s463,s4575,s8,s63,s145,s2592,s2508,s1060,s1404,s2429,s4,s4116,s3546,s19,s42,s2191,s4568,s4181,s4581]) ).
cnf(s4583,plain,
( spl0_96
| ~ spl0_193
| ~ spl0_232
| spl0_111
| spl0_31
| spl0_62
| spl0_69
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s3646,s36,s1639,s3538,s2436,s4576,s2328,s4191,s3677,s145]) ).
cnf(s4584,plain,
( spl0_69
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s4464,s1970,s2638,s2088,s3282,s3679,s3674,s4251,s1545,s3277,s2661,s4545,s12,s745,s4207,s3334,s817,s4465,s4462,s1705,s2438,s2106,s1460,s1515,s390,s1089,s2637,s876,s2587,s938,s4220,s3845,s3693,s1798,s2348,s3291,s426,s4458,s681,s1639,s3314,s2436,s2341,s940,s1946,s897,s4583,s4582,s3677,s4181,s4581,s2528,s230,s2429,s1060,s19,s2065,s3295,s2592,s42,s2191,s2507,s2508,s4568,s883,s2544,s8,s4,s1404,s4116,s145]) ).
cnf(s4585,plain,
( ~ spl0_47
| spl0_193
| spl0_81
| ~ spl0_96
| ~ spl0_20
| ~ spl0_97 ),
inference(rat,[],[s1466,s3644,s3287,s2244,s4100,s2636,s2712,s1518,s4465,s4462,s1725,s2536,s4067,s2327,s289,s1214,s1923,s2106,s2088,s3880,s4220,s1515,s1460,s879,s980,s1141,s1142,s2864,s1127,s1048,s4327]) ).
cnf(s4586,plain,
( spl0_15
| ~ spl0_115
| spl0_193
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s2146,s4488,s1807,s4194,s1545,s3679,s2387,s3987,s4037,s38,s905,s1951,s4324,s1608,s3422,s2197,s3546,s2429,s19,s8,s4,s4116,s63,s4208,s2269,s2631,s480,s1048,s1046,s2436,s4327,s36,s4152,s4585,s327,s4554,s966,s3577,s2150,s4515,s3707,s4584,s145]) ).
cnf(s4587,plain,
( spl0_204
| spl0_19
| ~ spl0_115
| ~ spl0_184
| spl0_81
| ~ spl0_96 ),
inference(rat,[],[s2589,s1113,s4207,s3545,s3334]) ).
cnf(s4588,plain,
( ~ spl0_204
| ~ spl0_108
| ~ spl0_15
| ~ spl0_347
| spl0_187
| spl0_185
| spl0_208
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s2467,s683,s905,s2092,s2082,s1725,s4465,s3407,s817,s480]) ).
cnf(s4589,plain,
( ~ spl0_19
| ~ spl0_29
| spl0_379
| spl0_185
| spl0_208
| ~ spl0_65
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s2467,s692,s4175,s1325,s2299,s1012]) ).
cnf(s4590,plain,
( ~ spl0_115
| spl0_187
| ~ spl0_184
| spl0_193
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s2146,s4488,s1807,s4194,s1545,s3679,s2387,s3987,s4037,s1951,s38,s3423,s905,s4324,s1608,s2197,s1213,s4221,s4588,s4587,s4589,s4586,s4397,s1533,s36,s3445,s4152,s8,s63,s4208,s1127,s2269,s2631,s480,s1048,s1046,s2436,s4585,s327,s4554,s966,s3577,s2150,s4515,s3707,s4584,s145,s4327]) ).
cnf(s4591,plain,
( spl0_187
| ~ spl0_184
| spl0_193
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s4169,s785,s1089,s4207,s3880,s4083,s2682,s322,s4220,s4465,s4324,s4175,s454,s773,s2491,s2503,s426,s4590,s8,s1127,s2269,s2631,s390,s1046,s2436,s4585,s327,s4554,s966,s3577,s2150,s4515,s3707,s4584,s145,s4327]) ).
cnf(s4592,plain,
( ~ spl0_187
| ~ spl0_97
| spl0_35
| ~ spl0_73
| ~ spl0_18 ),
inference(rat,[],[s3644,s613,s3540,s4145,s2686,s3577,s966]) ).
cnf(s4593,plain,
( spl0_193
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s4591,s4556,s63,s4592,s3707,s145,s2150,s4584,s4554,s4515]) ).
cnf(s4594,plain,
( ~ spl0_47
| ~ spl0_115
| ~ spl0_184
| spl0_185
| ~ spl0_193
| spl0_187
| spl0_81
| ~ spl0_96 ),
inference(rat,[],[s817,s4587,s3845,s4465,s1012,s3291,s1725,s243,s1944,s2106,s3880,s4220,s1515,s2818,s879,s980,s1141,s1142]) ).
cnf(s4595,plain,
( ~ spl0_23
| ~ spl0_329
| spl0_15
| spl0_249
| ~ spl0_115
| ~ spl0_184
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s4465,s3610,s817,s1281,s3845,s4462,s799,s1284,s4036,s3297,s3911,s44,s2520,s8,s480,s36,s4152,s1533,s3445,s4594,s4565,s4593,s4592,s4587,s1060,s1404,s4116,s327,s3577,s2150,s4554,s966,s3707,s4584,s145,s4515]) ).
cnf(s4596,plain,
( spl0_15
| spl0_180
| ~ spl0_115
| ~ spl0_184
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s2528,s3709,s1321,s3540,s4207,s3645,s1107,s1057,s3314,s3880,s4595,s1951,s3423,s4587,s2429,s1060,s19,s4,s1404,s4116,s897,s1517,s36,s4152,s4594,s4565,s4593,s4592,s327,s3577,s2150,s4554,s966,s3707,s4584,s145,s4515,s905,s8]) ).
cnf(s4597,plain,
( ~ spl0_204
| ~ spl0_297
| ~ spl0_15
| spl0_249
| spl0_194
| ~ spl0_29
| spl0_47
| spl0_181
| spl0_185
| ~ spl0_193
| spl0_187
| ~ spl0_96
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s1466,s3287,s3966,s3644,s3683,s2233,s799,s4465,s4221,s3845,s2082,s4588,s3407,s480,s4397,s3926]) ).
cnf(s4598,plain,
( ~ spl0_297
| ~ spl0_15
| spl0_249
| ~ spl0_115
| ~ spl0_184
| spl0_185
| ~ spl0_193
| spl0_187
| spl0_81
| ~ spl0_96
| ~ spl0_69
| ~ spl0_71
| ~ spl0_9 ),
inference(rat,[],[s789,s4465,s2269,s1325,s3610,s4589,s1012,s1789,s4587,s4597,s3926,s4208,s1517,s36,s4152,s1533,s3445,s4594]) ).
cnf(s4599,plain,
( spl0_180
| ~ spl0_115
| ~ spl0_184
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s3644,s799,s1466,s3845,s3287,s817,s3683,s4465,s2082,s3407,s4587,s3423,s2213,s1213,s4598,s4596,s905,s8,s480,s1517,s36,s4152,s1533,s3445,s4594,s4565,s4593,s4592,s327,s3577,s2150,s4554,s966,s3707,s4584,s145,s4515]) ).
cnf(s4600,plain,
( spl0_15
| ~ spl0_115
| ~ spl0_184
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s817,s4465,s3845,s3610,s3291,s1281,s4462,s1284,s3297,s44,s2520,s3880,s1299,s141,s154,s4587,s62,s1060,s8,s1404,s3,s4,s4116,s4152,s1533,s3445,s4594,s4565,s4593,s4592,s327,s3577,s2150,s4554,s966,s3707,s4584,s145,s4515,s4599]) ).
cnf(s4601,plain,
( ~ spl0_171
| ~ spl0_204
| ~ spl0_180
| ~ spl0_115
| ~ spl0_184
| ~ spl0_193
| spl0_81 ),
inference(rat,[],[s1281,s4462,s3291,s1283,s3845,s2467,s817,s2572]) ).
cnf(s4602,plain,
( spl0_19
| ~ spl0_180
| ~ spl0_115
| ~ spl0_184
| spl0_185
| ~ spl0_193
| spl0_187
| spl0_81
| ~ spl0_96
| ~ spl0_71
| ~ spl0_18 ),
inference(rat,[],[s4251,s3728,s3281,s2420,s1401,s1809,s3988,s799,s3845,s3880,s1373,s1132,s3314,s2467,s1107,s683,s4206,s2092,s4157,s2589,s776,s1725,s3610,s2056,s1098,s4465,s4601,s4587,s383,s480,s36,s4152,s4397,s1533,s3445,s4594]) ).
cnf(s4603,plain,
( ~ spl0_115
| ~ spl0_184
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s4598,s1213,s1136,s2213,s30,s4602,s4600,s4599,s36,s4152,s4594,s8,s966,s327,s3577,s4592,s3707,s145,s4565,s4593,s2150,s4584,s4554,s4515]) ).
cnf(s4604,plain,
( ~ spl0_379
| ~ spl0_171
| ~ spl0_184
| ~ spl0_193
| ~ spl0_96
| ~ spl0_69
| ~ spl0_73
| ~ spl0_18 ),
inference(rat,[],[s3334,s817,s4206,s3845,s1012,s785,s799,s1325,s4563,s586,s3636,s2269,s4208,s327,s3577,s4565,s2150,s2572]) ).
cnf(s4605,plain,
( ~ spl0_184
| ~ spl0_71
| spl0_1 ),
inference(rat,[],[s4036,s36,s3880,s2488,s1951,s4330,s3342,s4169,s4523,s785,s1321,s4207,s564,s2604,s4462,s3683,s2467,s4566,s4197,s4175,s4604,s4167,s2572,s4465,s776,s948,s994,s2500,s2491,s426,s4603,s8,s4116,s897,s966,s383,s4592,s3707,s145,s480,s4565,s4593,s2150,s4584,s4554,s4515]) ).
cnf(s4606,plain,
( ~ spl0_71
| spl0_1 ),
inference(rat,[],[s3409,s4251,s3547,s3282,s2271,s2638,s4207,s4464,s3334,s4462,s4089,s817,s1012,s2536,s4465,s3884,s3845,s243,s2106,s1956,s2082,s2088,s3291,s3880,s1515,s905,s1460,s1944,s2818,s879,s1141,s1142,s2864,s4220,s2436,s3318,s1639,s426,s2503,s2592,s3710,s4181,s4605,s480,s4565,s4593,s4592,s327,s3577,s3707,s2150,s4584,s4554,s63,s145,s8,s4,s4116,s4515]) ).
cnf(s4607,plain,
( spl0_69
| spl0_180
| spl0_96
| ~ spl0_183
| spl0_1 ),
inference(rat,[],[s3423,s36,s2429,s3538,s1280,s42,s3318,s448,s3708,s143,s4220,s317,s2159,s2348,s883,s4,s4348,s3832,s4606,s4116,s4191,s966,s4515]) ).
cnf(s4608,plain,
( ~ spl0_69
| spl0_96
| ~ spl0_184
| spl0_1 ),
inference(rat,[],[s22,s2520,s246,s2105,s2344,s2069,s785,s1210,s4207,s3540,s439,s2686,s4220,s1732,s2670,s2405,s87,s3874,s3708,s3577,s3707,s2150,s8,s4348,s3832,s4606,s4116,s966,s4515]) ).
cnf(s4609,plain,
( spl0_96
| ~ spl0_184
| spl0_193
| spl0_1 ),
inference(rat,[],[s63,s1608,s143,s4220,s2159,s4607,s2348,s883,s4608,s4,s4348,s3832,s4606,s4116,s4327]) ).
cnf(s4610,plain,
( spl0_35
| ~ spl0_73
| ~ spl0_187
| ~ spl0_18 ),
inference(rat,[],[s4592,s3708]) ).
cnf(s4611,plain,
( spl0_69
| spl0_180
| ~ spl0_276
| ~ spl0_184
| ~ spl0_183
| spl0_1 ),
inference(rat,[],[s4465,s1705,s2636,s2106,s580,s1515,s1057,s3334,s1107,s4206,s3314,s1321,s2341,s2528,s1946,s1060,s19,s42,s2508,s4610,s390,s1046,s3318,s143,s4220,s317,s2159,s2348,s2666,s883,s8,s4,s1404,s4515,s4348,s3832,s4606,s4116]) ).
cnf(s4612,plain,
( spl0_73
| spl0_180
| ~ spl0_96
| ~ spl0_184
| ~ spl0_183
| spl0_1 ),
inference(rat,[],[s2123,s785,s2631,s4207,s3540,s2269,s439,s2686,s4175,s2670,s1653,s8,s4348,s3832,s4606,s4116,s3577,s2150,s4611,s897,s4515]) ).
cnf(s4613,plain,
( spl0_180
| ~ spl0_184
| spl0_193
| spl0_1 ),
inference(rat,[],[s2589,s4207,s1113,s4149,s3535,s2542,s36,s168,s237,s1057,s4587,s1012,s1325,s392,s2636,s4465,s776,s994,s2258,s4462,s3445,s1284,s426,s3297,s2491,s38,s4175,s480,s2269,s4585,s4208,s1048,s383,s2631,s327,s3708,s4610,s143,s4612,s3577,s2150,s4611,s8,s4515,s4348,s4606,s4327,s897,s4609]) ).
cnf(s4614,plain,
( spl0_69
| ~ spl0_180
| spl0_193
| spl0_1 ),
inference(rat,[],[s63,s1608,s143,s4220,s2159,s2348,s883,s4,s4348,s3832,s4606,s4116]) ).
cnf(s4615,plain,
( spl0_73
| ~ spl0_184
| spl0_193
| spl0_1 ),
inference(rat,[],[s2138,s3342,s785,s63,s2488,s4207,s1608,s36,s439,s4220,s168,s2670,s2405,s2159,s4348,s3832,s4606,s4116,s4609,s2467,s1127,s3577,s2150,s4614,s4613,s4515]) ).
cnf(s4616,plain,
( ~ spl0_115
| ~ spl0_14
| spl0_81
| spl0_47
| ~ spl0_96
| ~ spl0_184 ),
inference(rat,[],[s2589,s1113,s4207,s3535,s1107,s3445,s2542]) ).
cnf(s4618,plain,
( spl0_381
| spl0_302
| spl0_249
| ~ spl0_36
| ~ spl0_195
| ~ spl0_180 ),
inference(rat,[],[s4464,s2638,s2080,s3787]) ).
cnf(s4619,plain,
( ~ spl0_184
| spl0_193
| spl0_1 ),
inference(rat,[],[s2661,s1809,s3724,s2420,s2310,s4618,s4523,s1321,s785,s4207,s564,s4083,s4462,s4465,s322,s4566,s776,s773,s2500,s2491,s426,s4616,s36,s2197,s4220,s235,s480,s1608,s4208,s1048,s383,s63,s327,s3708,s4610,s143,s4615,s3577,s2150,s4614,s1142,s4613,s897,s4609,s8,s4116,s4515,s4348,s4606,s4327]) ).
cnf(s4620,plain,
( spl0_318
| spl0_305
| ~ spl0_199
| ~ spl0_178
| spl0_222
| ~ spl0_196
| ~ spl0_14
| spl0_47
| spl0_302
| ~ spl0_18 ),
inference(rat,[],[s2638,s3282,s4464,s4251,s1970,s3728,s3674,s2420,s1516,s1809]) ).
cnf(s4621,plain,
( ~ spl0_185
| spl0_191
| spl0_222
| ~ spl0_171
| ~ spl0_115
| ~ spl0_196
| ~ spl0_14
| ~ spl0_207
| spl0_47
| spl0_302
| ~ spl0_69
| spl0_96
| spl0_181
| ~ spl0_18 ),
inference(rat,[],[s3355,s3896,s2320,s2638,s4464,s2074,s1955,s4620,s2068,s2432,s390,s2105,s2233,s19,s1283,s2087,s4462,s3709,s2509,s3845,s787,s1846,s3577,s2150,s4402,s961,s2138,s3874,s232,s154,s142,s3707,s966,s4207,s1107,s2542,s1210,s3535,s3445]) ).
cnf(s4622,plain,
( ~ spl0_171
| ~ spl0_115
| spl0_187
| ~ spl0_102
| ~ spl0_14
| ~ spl0_207
| spl0_47
| spl0_302
| ~ spl0_69
| spl0_96
| spl0_181
| ~ spl0_183
| ~ spl0_18 ),
inference(rat,[],[s4462,s2536,s1304,s4621,s2092,s438,s4397,s2244,s2636,s2138,s87,s3707,s966,s383]) ).
cnf(s4623,plain,
( ~ spl0_115
| spl0_187
| ~ spl0_102
| ~ spl0_14
| ~ spl0_207
| spl0_47
| spl0_302
| ~ spl0_69
| spl0_96
| spl0_181
| ~ spl0_183
| ~ spl0_18 ),
inference(rat,[],[s4399,s2092,s2344,s1725,s810,s1846,s3845,s1964,s4465,s4622,s1210,s3535,s3445,s3577,s2150,s961,s2138,s3874,s3707,s966]) ).
cnf(s4624,plain,
( ~ spl0_221
| ~ spl0_69
| spl0_181
| spl0_1 ),
inference(rat,[],[s2244,s2635,s456,s2592,s4,s4116,s4348,s4606]) ).
cnf(s4625,plain,
( spl0_187
| ~ spl0_14
| ~ spl0_207
| ~ spl0_69
| spl0_96
| spl0_193
| spl0_1 ),
inference(rat,[],[s3844,s2503,s4623,s4327,s1799,s143,s3832,s149,s1870,s2145,s4348,s4606,s8,s71,s87,s3707,s966,s4515,s2,s4116,s4624,s1022,s4619]) ).
cnf(s4626,plain,
( ~ spl0_171
| ~ spl0_295
| ~ spl0_177
| ~ spl0_109
| spl0_185
| ~ spl0_21
| ~ spl0_113
| ~ spl0_379
| spl0_8
| spl0_200
| ~ spl0_20
| ~ spl0_65
| spl0_236
| spl0_96
| spl0_181
| ~ spl0_183
| ~ spl0_9 ),
inference(rat,[],[s4359,s3547,s4247,s4053,s4463,s3880,s3955,s2520,s2068,s1807,s390,s2600,s2432,s876,s2587,s475,s3887,s2092,s4397,s2244,s2636,s3683,s571,s4191,s4402]) ).
cnf(s4627,plain,
( spl0_96
| spl0_180
| spl0_193
| spl0_1 ),
inference(rat,[],[s4302,s2078,s3539,s4054,s4463,s4053,s3955,s3880,s2068,s1807,s574,s2520,s19,s2069,s390,s2432,s2600,s2244,s876,s810,s2587,s2635,s3845,s2082,s1964,s4465,s4626,s1210,s4462,s4207,s480,s3540,s457,s439,s4534,s2686,s4625,s2542,s1813,s2570,s36,s3636,s1870,s4109,s232,s4175,s1732,s2145,s235,s154,s1653,s1228,s961,s4402,s3577,s87,s3874,s142,s143,s2138,s2150,s3707,s571,s4607,s966,s4191,s4116,s4515,s4348,s4606,s4327,s1127,s1022,s4619,s905,s8]) ).
cnf(s4628,plain,
( spl0_69
| spl0_193
| spl0_1 ),
inference(rat,[],[s591,s1706,s4465,s4462,s426,s390,s2028,s363,s463,s1639,s1046,s63,s3318,s143,s4220,s2159,s2348,s883,s4,s4348,s3832,s4606,s4116,s4327,s4181,s4619]) ).
cnf(s4629,plain,
( ~ spl0_89
| spl0_35
| ~ spl0_18 ),
inference(rat,[],[s4534,s721,s1120]) ).
cnf(s4630,plain,
( spl0_73
| spl0_104
| ~ spl0_96
| spl0_89
| spl0_1 ),
inference(rat,[],[s152,s149,s301,s71,s72,s3318,s36,s1870,s4220,s168,s2145,s2405,s2159,s158,s8,s2,s4348,s3832,s4606,s4116]) ).
cnf(s4631,plain,
( spl0_187
| ~ spl0_96
| spl0_193
| spl0_1 ),
inference(rat,[],[s4556,s63,s3708,s143,s4630,s1639,s426,s2503,s4181,s4624,s1022,s4619,s4629,s2150,s4628,s4515]) ).
cnf(s4632,plain,
( ~ spl0_96
| spl0_193
| spl0_1 ),
inference(rat,[],[s152,s149,s301,s36,s1870,s71,s72,s168,s2145,s3707,s2159,s158,s922,s4610,s4631,s8,s2,s4116,s4348,s4606,s4181,s4619,s4629,s2150,s4628,s4515]) ).
cnf(s4633,plain,
( ~ spl0_222
| ~ spl0_76
| ~ spl0_58
| spl0_181
| ~ spl0_9 ),
inference(rat,[],[s2244,s2637,s438,s994]) ).
cnf(s4634,plain,
( spl0_318
| ~ spl0_296
| ~ spl0_196
| spl0_222
| spl0_302
| ~ spl0_18 ),
inference(rat,[],[s4251,s3728,s3281,s2420,s1401,s1809]) ).
cnf(s4635,plain,
( ~ spl0_318
| ~ spl0_114
| ~ spl0_107
| ~ spl0_29
| spl0_31
| spl0_106
| spl0_302 ),
inference(rat,[],[s2378,s4464,s3679,s2074,s2387]) ).
cnf(s4636,plain,
( spl0_187
| spl0_193
| spl0_1 ),
inference(rat,[],[s3683,s4465,s1288,s1964,s3645,s1210,s1466,s4634,s4635,s3845,s2587,s2600,s3422,s62,s36,s4625,s1813,s3636,s2258,s4462,s1283,s426,s2503,s383,s3,s4,s4624,s571,s4191,s2467,s4627,s1127,s1799,s961,s2138,s154,s142,s235,s3874,s4348,s4633,s4220,s2405,s3708,s2150,s3832,s4606,s4116,s87,s3707,s966,s4632,s4515,s4628,s1022,s4619,s8]) ).
cnf(s4637,plain,
( spl0_193
| spl0_1 ),
inference(rat,[],[s4462,s1283,s3887,s426,s2092,s3421,s4397,s2271,s2383,s2344,s4464,s4463,s251,s1972,s1575,s3187,s3189,s3618,s3547,s3409,s4251,s1955,s2068,s3280,s1809,s3724,s2420,s2310,s4618,s4207,s480,s3540,s439,s4534,s2686,s4636,s822,s4402,s1799,s1653,s87,s2138,s2467,s3708,s3707,s571,s4627,s966,s4191,s4632,s3577,s2150,s4628,s1127,s8,s4515,s4348,s3831,s3832,s4606,s4116]) ).
cnf(s4638,plain,
( spl0_69
| spl0_187
| spl0_96
| spl0_1 ),
inference(rat,[],[s1210,s2087,s2341,s2328,s19,s246,s3677,s42,s2508,s2170,s143,s4565,s4220,s4181,s2159,s3693,s2348,s2666,s883,s8,s4,s4515,s4348,s3832,s4606,s4116,s4637,s4191]) ).
cnf(s4639,plain,
( spl0_187
| spl0_96
| spl0_1 ),
inference(rat,[],[s2344,s2105,s2069,s19,s1210,s4133,s3535,s275,s3445,s799,s2233,s426,s3845,s390,s1870,s2503,s1846,s875,s2145,s4624,s2580,s2159,s87,s3874,s1022,s3708,s3577,s3707,s4608,s2150,s4638,s8,s4348,s3832,s4606,s4116,s4637,s966,s4515]) ).
cnf(s4640,plain,
( spl0_69
| spl0_96
| spl0_1 ),
inference(rat,[],[s4412,s3467,s3463,s3791,s4194,s4552,s1401,s3455,s3724,s2328,s1466,s1974,s1210,s2078,s2087,s2341,s19,s246,s42,s2507,s2508,s2170,s143,s4534,s4220,s2159,s3693,s1798,s2348,s883,s8,s4,s4515,s4348,s3832,s4606,s4116,s4637,s4191,s1021,s4639]) ).
cnf(s4641,plain,
( spl0_96
| spl0_1 ),
inference(rat,[],[s2580,s4534,s3708,s2150,s4640,s4639,s966,s4515,s3832,s4606,s4116,s4637]) ).
cnf(s4642,plain,
( spl0_69
| spl0_187
| spl0_1 ),
inference(rat,[],[s4058,s994,s2592,s1614,s2637,s2508,s3318,s3677,s4565,s143,s4220,s4181,s2159,s3693,s2348,s2666,s883,s8,s4,s4515,s4348,s3832,s4606,s4116,s4637]) ).
cnf(s4643,plain,
( spl0_73
| spl0_187
| spl0_1 ),
inference(rat,[],[s2500,s426,s4633,s1639,s1022,s4181,s4220,s4630,s2670,s2405,s158,s8,s3832,s4606,s4116,s4641,s721,s383]) ).
cnf(s4644,plain,
( ~ spl0_115
| ~ spl0_184
| spl0_187
| spl0_1 ),
inference(rat,[],[s4079,s4206,s237,s317,s785,s2213,s168,s275,s36,s4616,s4624,s4594,s1517,s4641,s4565,s4637,s235,s4208,s327,s4643,s3577,s2150,s4642,s4515,s4348,s4606]) ).
cnf(s4645,plain,
( ~ spl0_184
| spl0_187
| spl0_1 ),
inference(rat,[],[s2542,s4479,s275,s1281,s785,s4462,s4207,s1518,s2604,s948,s4624,s2500,s2503,s426,s4644,s8,s4116,s4348,s4606,s4637,s383,s4208,s327,s4643,s3577,s2150,s4642,s4515]) ).
cnf(s4646,plain,
( spl0_180
| spl0_187
| spl0_1 ),
inference(rat,[],[s1210,s3545,s2867,s817,s3880,s3845,s2542,s3314,s4465,s3291,s4479,s2082,s2110,s905,s8,s480,s4565,s4637,s3710,s63,s4220,s929,s36,s2197,s3318,s1639,s426,s2503,s4624,s1022,s4181,s4645,s143,s235,s4208,s327,s4643,s3577,s2150,s4642,s4515,s4348,s4606,s4641]) ).
cnf(s4647,plain,
( ~ spl0_107
| spl0_187
| spl0_1 ),
inference(rat,[],[s1288,s994,s3683,s2258,s4465,s3636,s2082,s4563,s564,s799,s4462,s3845,s1283,s876,s2233,s937,s8,s383,s480,s4565,s4637,s3710,s63,s2542,s1142,s4646,s36,s2197,s3318,s1639,s426,s2503,s4624,s1022,s4181,s4645,s143,s235,s4208,s327,s4643,s3577,s2150,s4642,s4515,s4348,s4606,s4641]) ).
cnf(s4648,plain,
( spl0_318
| spl0_187
| spl0_1 ),
inference(rat,[],[s4410,s2317,s3471,s2593,s3809,s3295,s1258,s3679,s3674,s2420,s3355,s1516,s1809,s8,s4,s4116,s3710,s63,s3677,s4157,s4479,s2542,s1142,s4646,s36,s2197,s3318,s1639,s426,s2503,s4624,s1022,s4181,s4645,s143,s235,s4208,s4348,s4641,s4637,s4606,s327,s4643,s3577,s2150,s4642,s4515]) ).
cnf(s4649,plain,
( ~ spl0_178
| ~ spl0_576
| spl0_187
| spl0_1 ),
inference(rat,[],[s2304,s4204,s3791,s3412,s3306,s4359,s3547,s1922,s3788,s4464,s38,s2638,s3297,s3282,s1284,s8,s4565,s3677,s1107,s1955,s3535,s3445,s2310,s2633,s2661,s4648,s799,s3845,s2587,s1089,s237,s875,s390,s4647,s929,s4157,s4479,s2542,s1142,s4646,s36,s2197,s3318,s1639,s426,s2503,s4624,s1022,s4181,s4645,s143,s235,s4208,s4348,s4641,s4637,s4606,s327,s4643,s3577,s2150,s4515,s4642]) ).
cnf(s4650,plain,
( spl0_222
| spl0_187
| spl0_1 ),
inference(rat,[],[s2572,s4465,s3636,s2082,s2258,s564,s4462,s4649,s4251,s3728,s383,s480,s4565,s3710,s63,s610,s1228,s3300,s2310,s2633,s2661,s4648,s799,s3845,s2587,s1089,s237,s875,s390,s4647,s929,s4157,s4479,s2542,s1142,s4646,s36,s2197,s3318,s1639,s426,s2503,s4624,s1022,s4181,s4645,s143,s235,s4208,s4348,s4641,s4637,s4606,s327,s4643,s3577,s2150,s4515,s4642]) ).
cnf(s4651,plain,
( spl0_187
| spl0_1 ),
inference(rat,[],[s3683,s4465,s1288,s776,s994,s4650,s4646,s1022,s4645,s480,s4565,s4643,s2150,s4642,s8,s4515,s4637]) ).
cnf(s4652,plain,
( spl0_73
| spl0_1 ),
inference(rat,[],[s2150,s4534,s883,s2580,s2159,s4,s4515,s4348,s3832,s4606,s4116,s4637,s4651]) ).
cnf(s4653,plain,
spl0_1,
inference(rat,[],[s3559,s4479,s246,s3314,s2341,s1946,s4220,s1060,s19,s2348,s2065,s42,s2150,s2160,s2191,s4610,s4652,s4651,s897,s4641,s4637,s3832,s4606,s4515,s1404,s4116,s8]) ).
cnf(s4654,plain,
~ spl0_47,
inference(rat,[],[s878,s4653]) ).
cnf(s4663,plain,
( ~ spl0_180
| spl0_222
| ~ spl0_115
| spl0_208
| ~ spl0_196 ),
inference(rat,[],[s2258,s4462,s3636,s1283,s477,s2467,s4653]) ).
cnf(s4669,plain,
( spl0_53
| ~ spl0_55
| spl0_18
| ~ spl0_69
| ~ spl0_183 ),
inference(rat,[],[s3546,s19,s3346,s2105,s1048,s1280,s2269,s3586,s3707,s2631]) ).
cnf(s4670,plain,
( ~ spl0_184
| spl0_206
| ~ spl0_11
| ~ spl0_116
| ~ spl0_60
| spl0_19 ),
inference(rat,[],[s317,s773,s403,s426,s1057,s1107,s3334,s4299,s3314]) ).
cnf(s4671,plain,
( ~ spl0_14
| ~ spl0_211
| spl0_75
| ~ spl0_53
| ~ spl0_28
| ~ spl0_58 ),
inference(rat,[],[s71,s149,s2,s152,s4104,s232,s154,s142,s4654]) ).
cnf(s4673,plain,
( ~ spl0_185
| spl0_198
| ~ spl0_14
| ~ spl0_218
| spl0_221
| spl0_181
| ~ spl0_232
| spl0_302
| spl0_33
| spl0_106
| spl0_200
| ~ spl0_28
| ~ spl0_39 ),
inference(rat,[],[s3846,s3942,s817,s4150,s2338,s1466,s3625,s3709,s787,s4465,s1706,s390,s688]) ).
cnf(s4675,plain,
( spl0_107
| ~ spl0_296
| ~ spl0_29
| ~ spl0_218
| spl0_191
| spl0_106
| spl0_208 ),
inference(rat,[],[s2712,s4462,s3287,s474,s3422]) ).
cnf(s4679,plain,
( ~ spl0_206
| ~ spl0_76
| spl0_249
| spl0_200
| ~ spl0_69
| ~ spl0_183 ),
inference(rat,[],[s688,s480,s390,s2082,s1706,s4465,s2637,s2636,s2635,s3654,s2150,s4653]) ).
cnf(s4684,plain,
( ~ spl0_110
| ~ spl0_114
| ~ spl0_52
| spl0_69
| spl0_18
| ~ spl0_183
| spl0_187 ),
inference(rat,[],[s363,s4465,s2667,s560,s437,s3641,s383,s32]) ).
cnf(s4685,plain,
( spl0_96
| spl0_53
| spl0_69
| spl0_18
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s19,s722,s4134,s2542,s36,s3422,s688,s3655,s115,s3832,s4575,s433,s4523,s3346,s1350,s1950,s959,s426,s4462,s4207,s1517,s1518,s2604,s2244,s438,s2667,s2670,s4182,s3677,s2328,s4684,s3845,s810,s1280,s3586,s4191,s383,s158,s63,s2631,s4327,s4654]) ).
cnf(s4686,plain,
( ~ spl0_14
| ~ spl0_115
| ~ spl0_15
| ~ spl0_166
| ~ spl0_96 ),
inference(rat,[],[s3832,s722,s4152,s2542,s4654]) ).
cnf(s4687,plain,
( ~ spl0_184
| ~ spl0_115
| ~ spl0_96
| spl0_69
| ~ spl0_28
| spl0_73
| spl0_187 ),
inference(rat,[],[s2605,s3861,s4208,s2328,s597,s2244,s3545,s438,s1113,s2667,s2669,s383,s158,s1517]) ).
cnf(s4688,plain,
( spl0_322
| spl0_373
| ~ spl0_318
| ~ spl0_207
| ~ spl0_177
| ~ spl0_29
| ~ spl0_211
| spl0_18 ),
inference(rat,[],[s1953,s4202,s4463,s2307,s2424,s2146,s2439]) ).
cnf(s4689,plain,
( ~ spl0_176
| spl0_324
| spl0_373
| spl0_180
| ~ spl0_177
| ~ spl0_211 ),
inference(rat,[],[s2307,s3809,s4204,s1267,s1953]) ).
cnf(s4691,plain,
( ~ spl0_176
| spl0_373
| spl0_305
| spl0_107
| ~ spl0_177
| ~ spl0_211 ),
inference(rat,[],[s2307,s3809,s4204,s1564,s1953]) ).
cnf(s4692,plain,
( ~ spl0_115
| ~ spl0_166
| ~ spl0_85
| ~ spl0_96
| spl0_53
| spl0_69
| ~ spl0_28
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s1258,s2653,s2424,s4463,s4691,s1955,s1316,s4054,s4053,s794,s797,s3227,s2600,s2258,s437,s3301,s390,s3545,s688,s3665,s4074,s480,s3691,s1418,s2082,s3314,s433,s2135,s722,s317,s3851,s2197,s3832,s4348,s564,s3318,s2436,s4465,s4462,s1639,s363,s463,s4181,s4687,s168,s36,s4686,s3445,s383,s1127,s63,s2631,s4327,s231,s3654,s42,s19,s230,s4654,s4653]) ).
cnf(s4693,plain,
( ~ spl0_184
| ~ spl0_85
| ~ spl0_96
| spl0_69
| ~ spl0_28
| spl0_73
| spl0_187 ),
inference(rat,[],[s2605,s3861,s4208,s2328,s597,s2244,s1361,s2604,s4206,s438,s1113,s785,s2667,s2669,s383,s158]) ).
cnf(s4694,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_74
| ~ spl0_166
| spl0_69
| ~ spl0_28
| spl0_73 ),
inference(rat,[],[s2605,s4208,s4466,s681,s3829,s3832,s722,s2542,s4654]) ).
cnf(s4695,plain,
( ~ spl0_110
| ~ spl0_29
| ~ spl0_177
| ~ spl0_218
| ~ spl0_28
| spl0_208
| ~ spl0_196 ),
inference(rat,[],[s477,s3636,s2438,s2258,s455,s437,s4653]) ).
cnf(s4696,plain,
( spl0_53
| spl0_69
| spl0_18
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s454,s2438,s390,s477,s688,s3665,s480,s2082,s3407,s2338,s4695,s36,s4694,s564,s4465,s4462,s363,s463,s4181,s4693,s426,s4692,s3654,s42,s19,s230,s2596,s2616,s172,s4685,s63,s383,s4327,s1127,s158,s32,s4653]) ).
cnf(s4697,plain,
( ~ spl0_115
| spl0_206
| ~ spl0_296
| ~ spl0_29
| ~ spl0_15
| spl0_31
| ~ spl0_58
| spl0_193
| ~ spl0_196 ),
inference(rat,[],[s4462,s2258,s2712,s2600,s3287,s797,s3423,s4663,s438,s2244,s1517,s4327,s1127]) ).
cnf(s4698,plain,
( spl0_69
| spl0_18
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s2712,s4462,s3287,s487,s3346,s688,s4675,s2092,s4397,s2244,s578,s4225,s426,s4697,s2328,s1466,s36,s3625,s2542,s4113,s722,s4,s883,s1874,s237,s11,s39,s3654,s3427,s42,s19,s230,s232,s3861,s227,s235,s277,s154,s961,s239,s72,s89,s3874,s142,s2138,s4696,s721,s383,s1127,s158,s32,s4654,s4653]) ).
cnf(s4699,plain,
( ~ spl0_14
| ~ spl0_115
| ~ spl0_166
| ~ spl0_96
| spl0_18
| spl0_187 ),
inference(rat,[],[s2528,s2135,s3641,s19,s3832,s3535,s4686,s4152,s3445,s4654]) ).
cnf(s4700,plain,
( ~ spl0_110
| ~ spl0_96
| spl0_379
| ~ spl0_52
| ~ spl0_28
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s4462,s463,s2258,s769,s437,s1113,s383]) ).
cnf(s4701,plain,
( ~ spl0_115
| spl0_110
| ~ spl0_11
| ~ spl0_166
| ~ spl0_96
| spl0_76
| spl0_18
| spl0_187 ),
inference(rat,[],[s3849,s1418,s451,s4074,s1057,s3545,s433,s322,s2197,s168,s36,s4699,s3445,s4220,s4654]) ).
cnf(s4702,plain,
( spl0_182
| ~ spl0_85
| ~ spl0_195
| spl0_379
| ~ spl0_52
| spl0_193
| ~ spl0_196 ),
inference(rat,[],[s4452,s2604,s785,s3683,s363,s4465,s776,s2258,s4462,s2712,s4327,s1127]) ).
cnf(s4703,plain,
( spl0_53
| spl0_18
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s4465,s2082,s363,s3710,s1064,s1009,s36,s929,s3427,s19,s3546,s3346,s1135,s3287,s4702,s426,s4701,s1466,s4700,s39,s3851,s231,s2616,s172,s480,s4191,s1048,s173,s2269,s4669,s3707,s2631,s63,s383,s4327,s32,s4698,s4653]) ).
cnf(s4704,plain,
( spl0_318
| ~ spl0_172
| ~ spl0_177
| ~ spl0_296
| ~ spl0_329
| spl0_181
| spl0_302
| spl0_208 ),
inference(rat,[],[s1953,s1954,s4463,s4464,s4202,s3539,s2638,s3463,s3302,s1401]) ).
cnf(s4705,plain,
( ~ spl0_115
| spl0_206
| ~ spl0_53
| ~ spl0_69
| spl0_18
| ~ spl0_58
| spl0_193
| spl0_187 ),
inference(rat,[],[s4688,s1807,s1954,s3724,s4464,s2310,s2320,s2078,s4017,s4704,s3636,s2536,s2258,s4465,s4462,s3683,s2712,s19,s3287,s4697,s1466,s3625,s1951,s2135,s3423,s3632,s36,s4671,s4663,s2092,s304,s438,s4397,s1363,s2244,s392,s3445,s1517,s383,s1127,s32,s2150,s2138,s235,s89,s232,s154,s142,s4494,s277,s3874,s4654]) ).
cnf(s4706,plain,
( ~ spl0_184
| ~ spl0_218
| spl0_206
| spl0_19
| ~ spl0_116
| ~ spl0_60
| ~ spl0_65 ),
inference(rat,[],[s237,s4670,s773]) ).
cnf(s4707,plain,
( ~ spl0_110
| spl0_194
| spl0_181
| ~ spl0_232
| spl0_115
| spl0_96
| spl0_302
| spl0_33
| spl0_19
| spl0_106
| spl0_200
| ~ spl0_60
| ~ spl0_65
| ~ spl0_39
| spl0_18
| spl0_208
| spl0_187 ),
inference(rat,[],[s3335,s2253,s3809,s3469,s3405,s4202,s1379,s2439,s1807,s1955,s2432,s4016,s246,s3346,s4220,s4673,s3314,s1415,s36,s3880,s1405,s3645,s2492,s2027,s3709,s2135,s2500,s3625,s437,s3641,s383,s32,s235,s426,s456,s4654]) ).
cnf(s4708,plain,
( spl0_185
| ~ spl0_296
| spl0_191
| spl0_106
| spl0_18
| spl0_208
| spl0_187 ),
inference(rat,[],[s2712,s4462,s3287,s487,s3346]) ).
cnf(s4709,plain,
( spl0_96
| ~ spl0_53
| ~ spl0_69
| spl0_18
| ~ spl0_58
| spl0_193
| spl0_187 ),
inference(rat,[],[s2027,s4673,s4671,s36,s4675,s688,s4708,s1466,s4707,s2092,s304,s456,s4397,s1363,s2244,s563,s1022,s4181,s4706,s426,s4705,s4511,s4191,s1127,s32,s3654,s2150,s3902,s288,s1228,s89,s961,s2138,s227,s72,s721,s232,s154,s142,s4494,s277,s3874,s4653]) ).
cnf(s4710,plain,
( ~ spl0_115
| ~ spl0_166
| ~ spl0_53
| ~ spl0_69
| spl0_18
| ~ spl0_58
| spl0_193
| spl0_187 ),
inference(rat,[],[s84,s36,s4679,s4511,s4699,s4705,s4327,s32,s1228,s822,s2138,s235,s89,s3874,s232,s154,s142,s4709]) ).
cnf(s4711,plain,
( ~ spl0_110
| spl0_115
| ~ spl0_4
| ~ spl0_96
| spl0_302
| spl0_33
| spl0_106
| spl0_200
| ~ spl0_60
| ~ spl0_65
| ~ spl0_69
| spl0_18
| spl0_73
| spl0_208
| spl0_187 ),
inference(rat,[],[s3335,s2253,s3809,s3469,s3405,s4202,s1379,s2439,s1807,s3724,s2310,s1955,s2078,s4016,s19,s3346,s722,s4673,s2542,s36,s456,s3645,s3709,s2244,s2027,s1022,s4181,s2135,s2635,s769,s3625,s1113,s3641,s32,s3654,s2150,s235,s426,s4654,s4653]) ).
cnf(s4712,plain,
( ~ spl0_184
| spl0_110
| ~ spl0_218
| spl0_19
| spl0_249
| spl0_200
| ~ spl0_116
| ~ spl0_60
| ~ spl0_65
| ~ spl0_69
| spl0_73
| ~ spl0_183
| spl0_187 ),
inference(rat,[],[s1219,s4220,s1057,s4679,s1361,s237,s4706,s4299,s773,s2669]) ).
cnf(s4713,plain,
( ~ spl0_14
| spl0_181
| ~ spl0_232
| ~ spl0_296
| ~ spl0_218
| ~ spl0_53
| ~ spl0_69
| spl0_18
| ~ spl0_58
| spl0_193
| spl0_187 ),
inference(rat,[],[s4708,s4673,s2092,s456,s4397,s2244,s4679,s4220,s1465,s298,s1374,s2027,s4671,s4327,s1127,s32,s3654,s2150,s68,s1228,s89,s822,s961,s2138,s232,s154,s142,s4494,s277,s3874,s301,s4709,s72,s721,s4654,s4653]) ).
cnf(s4714,plain,
( spl0_18
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s497,s1057,s4679,s317,s237,s2197,s168,s36,s4713,s2338,s1022,s4181,s4712,s1466,s4711,s426,s4710,s3832,s2616,s4709,s4494,s232,s227,s235,s961,s277,s154,s822,s1228,s3902,s72,s89,s3874,s142,s145,s2138,s4703,s4698,s288,s721,s4327,s1127,s158]) ).
cnf(s4715,plain,
( ~ spl0_14
| spl0_96
| spl0_69
| spl0_53
| ~ spl0_18
| spl0_73 ),
inference(rat,[],[s10,s1619,s4,s3294,s3318,s3655,s4308,s3538,s146,s4191,s4654]) ).
cnf(s4716,plain,
( ~ spl0_184
| ~ spl0_295
| ~ spl0_114
| ~ spl0_115
| spl0_69
| ~ spl0_18
| spl0_73
| ~ spl0_183
| spl0_187 ),
inference(rat,[],[s477,s3541,s3665,s3880,s480,s39,s1964,s776,s3577,s4465,s115,s2636,s3832,s2244,s1533,s438,s2667,s2670,s383,s158,s1517,s3445,s4653,s4654]) ).
cnf(s4717,plain,
( ~ spl0_295
| ~ spl0_105
| ~ spl0_115
| spl0_69
| ~ spl0_52
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s959,s1964,s4207,s4465,s4462,s404,s363,s463,s4716,s4714,s251,s3845,s810,s4327]) ).
cnf(s4718,plain,
( ~ spl0_55
| ~ spl0_115
| spl0_69
| spl0_53
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s2075,s4552,s3709,s2328,s3540,s1210,s4717,s3586,s158,s4714,s63,s2544,s1517]) ).
cnf(s4719,plain,
( spl0_104
| spl0_55
| spl0_53
| ~ spl0_18
| spl0_73 ),
inference(rat,[],[s289,s85,s3880,s36,s39,s146,s3577,s3654,s2162,s4355,s4348,s3318,s2436,s4653,s4654]) ).
cnf(s4720,plain,
( ~ spl0_115
| spl0_69
| spl0_53
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s3314,s237,s4126,s168,s852,s4208,s4348,s12,s36,s597,s1533,s3535,s3545,s30,s438,s1113,s4687,s2667,s2669,s1941,s1614,s4719,s4191,s4718,s3445,s383,s158,s4714,s4654]) ).
cnf(s4721,plain,
( ~ spl0_76
| ~ spl0_29
| ~ spl0_113
| ~ spl0_105
| spl0_53
| spl0_193 ),
inference(rat,[],[s4033,s3423,s1614,s1608,s3318,s63]) ).
cnf(s4722,plain,
( ~ spl0_110
| spl0_76
| ~ spl0_114
| ~ spl0_29
| spl0_115
| ~ spl0_52
| ~ spl0_183 ),
inference(rat,[],[s363,s4465,s1064,s560,s455,s3646,s426]) ).
cnf(s4723,plain,
( spl0_96
| spl0_115
| spl0_69
| spl0_53
| ~ spl0_18
| spl0_73
| spl0_193
| ~ spl0_196 ),
inference(rat,[],[s4519,s3422,s4523,s959,s4462,s745,s4207,s1518,s2604,s2244,s438,s2667,s4182,s3677,s2328,s4722,s3880,s39,s3577,s115,s4,s10,s1619,s4721,s3845,s810,s12,s36,s1280,s3586,s4715,s4191,s158,s63,s2631,s4327,s2518,s426,s4654,s4653]) ).
cnf(s4724,plain,
( spl0_39
| ~ spl0_177
| spl0_8
| ~ spl0_218
| spl0_69
| ~ spl0_52
| spl0_193 ),
inference(rat,[],[s1608,s2438,s1619,s2592,s10,s2508,s4,s3654,s3655,s4653,s4654]) ).
cnf(s4725,plain,
( ~ spl0_110
| ~ spl0_96
| spl0_115
| spl0_69
| ~ spl0_52
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s22,s2682,s1089,s3559,s4220,s2587,s810,s1608,s3845,s30,s2438,s560,s4695,s455,s3646,s168,s36,s146,s4724,s4465,s4462,s363,s463,s769,s1113,s4327,s1127,s4714,s2518,s426,s383]) ).
cnf(s4726,plain,
( ~ spl0_14
| ~ spl0_166
| ~ spl0_18 ),
inference(rat,[],[s4458,s42,s3832,s3654,s3655,s2542,s146,s4653,s4654]) ).
cnf(s4727,plain,
( ~ spl0_55
| ~ spl0_29
| ~ spl0_194
| spl0_110
| ~ spl0_96
| ~ spl0_218
| spl0_53
| spl0_193 ),
inference(rat,[],[s1350,s433,s2604,s2197,s2244,s4721,s2328,s1280,s3586,s2631,s4327]) ).
cnf(s4728,plain,
( spl0_76
| spl0_107
| ~ spl0_29
| ~ spl0_184
| spl0_110
| ~ spl0_96
| ~ spl0_218 ),
inference(rat,[],[s817,s1361,s4465,s1350,s4221,s454,s433,s1213,s1064,s2197,s390]) ).
cnf(s4729,plain,
( ~ spl0_206
| spl0_180
| ~ spl0_76
| ~ spl0_199
| spl0_115
| ~ spl0_183 ),
inference(rat,[],[s2106,s1705,s1515,s4465,s2637,s2636]) ).
cnf(s4730,plain,
( ~ spl0_35
| ~ spl0_221 ),
inference(rat,[],[s4,s2592,s115,s2508]) ).
cnf(s4731,plain,
( ~ spl0_184
| spl0_69
| spl0_53
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s4036,s3880,s480,s39,s3665,s3577,s4730,s1813,s1951,s3422,s85,s2438,s564,s4523,s959,s785,s4462,s745,s4207,s1518,s2604,s2244,s4729,s1608,s4728,s390,s1046,s4719,s4727,s12,s36,s4726,s438,s2667,s2670,s4327,s158,s426,s4725,s4723,s4714,s383,s4720,s63,s4654,s4653]) ).
cnf(s4732,plain,
( spl0_69
| spl0_53
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s3559,s1012,s3782,s2682,s1940,s3880,s2197,s4220,s1057,s2637,s1706,s168,s390,s36,s1046,s146,s4719,s4724,s591,s2328,s4465,s4462,s2338,s3677,s363,s463,s4181,s4731,s4725,s4723,s2518,s426,s4720,s383,s4327,s4714,s63]) ).
cnf(s4733,plain,
( spl0_53
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s1614,s4033,s2436,s3559,s2201,s2682,s1012,s289,s2197,s168,s1940,s3880,s36,s4220,s39,s146,s966,s173,s3577,s3654,s3707,s2150,s4732,s4714,s4654,s4653]) ).
cnf(s4734,plain,
( spl0_39
| spl0_69
| ~ spl0_53
| spl0_193 ),
inference(rat,[],[s448,s1888,s1089,s4445,s3227,s1946,s237,s317,s4322,s19,s883,s46,s42,s4,s3654,s3655,s4327,s1127,s3874,s89,s232,s154,s142,s4653,s4654]) ).
cnf(s4735,plain,
( ~ spl0_105
| spl0_373
| ~ spl0_318
| ~ spl0_178
| spl0_184
| ~ spl0_20
| spl0_302
| spl0_106
| ~ spl0_183
| spl0_187 ),
inference(rat,[],[s3189,s3742,s3409,s4251,s3282,s2638,s4464,s2074,s4207,s3845,s404,s810,s251]) ).
cnf(s4736,plain,
( ~ spl0_115
| spl0_69
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s1565,s817,s4463,s3334,s4247,s3412,s4359,s3189,s1258,s3471,s4202,s2307,s2146,s2068,s1807,s3692,s2432,s4735,s1955,s3987,s1951,s4462,s3423,s2536,s4663,s2092,s1210,s2055,s438,s4397,s1466,s2244,s3683,s4697,s3445,s1517,s383,s1127,s4402,s235,s4494,s168,s2075,s2544,s2636,s4465,s2082,s4113,s4,s883,s11,s1874,s237,s39,s3427,s227,s72,s721,s822,s158,s480,s4108,s42,s19,s230,s275,s89,s36,s146,s4734,s4714,s961,s2138,s3874,s4733,s4327,s4654,s4653]) ).
cnf(s4737,plain,
( spl0_69
| spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s4635,s3845,s4634,s4675,s817,s1466,s1361,s1811,s744,s2092,s1406,s456,s438,s4397,s2244,s578,s4225,s426,s4736,s2636,s4465,s2082,s4113,s4,s883,s1874,s237,s11,s480,s39,s4108,s3427,s42,s19,s230,s4494,s275,s36,s146,s4734,s383,s4327,s1127,s4714,s822,s158,s961,s2138,s235,s89,s3874,s227,s72,s4733,s721,s4654,s4653]) ).
cnf(s4738,plain,
( ~ spl0_115
| spl0_206
| ~ spl0_69
| ~ spl0_53
| ~ spl0_18
| ~ spl0_58
| spl0_208
| spl0_187 ),
inference(rat,[],[s1565,s817,s4463,s3334,s4247,s3412,s4359,s3189,s1258,s3471,s4202,s2307,s2146,s2068,s1807,s3692,s2432,s2105,s19,s2087,s2135,s2,s1955,s1210,s71,s1466,s149,s3287,s3987,s1304,s3683,s1951,s4462,s4465,s3423,s2536,s1725,s4663,s2092,s438,s4397,s2244,s3445,s1517,s383,s4402,s822,s235,s227,s72,s721,s232,s154,s142,s4494,s275,s168,s237,s39,s3577,s89,s480,s4108,s36,s146,s3654,s2150,s961,s2138,s3874,s4654,s4653]) ).
cnf(s4739,plain,
( spl0_73
| spl0_193
| spl0_187 ),
inference(rat,[],[s4635,s3845,s4634,s4675,s817,s4465,s1466,s1361,s1725,s1811,s744,s2092,s1406,s456,s438,s4397,s2244,s578,s4225,s426,s4738,s4679,s1874,s289,s4494,s4108,s237,s11,s3880,s275,s36,s39,s146,s3577,s3654,s2150,s4737,s235,s961,s822,s1228,s89,s3874,s2138,s4733,s4714,s158,s383,s4327,s1127,s4653]) ).
cnf(s4740,plain,
( ~ spl0_115
| ~ spl0_14
| spl0_69
| spl0_18
| spl0_193
| spl0_187 ),
inference(rat,[],[s4699,s2613,s2170,s810,s3845,s4684,s3535,s3445,s4327,s63,s143,s4739,s4654]) ).
cnf(s4741,plain,
( spl0_222
| ~ spl0_218
| spl0_69
| spl0_193
| spl0_187 ),
inference(rat,[],[s3708,s115,s4556,s2500,s2667,s383,s63,s143,s4739]) ).
cnf(s4742,plain,
( spl0_96
| spl0_110
| ~ spl0_218
| ~ spl0_14
| spl0_18
| ~ spl0_179
| ~ spl0_73 ),
inference(rat,[],[s959,s4462,s4207,s3346,s1518,s2604,s3999,s2244,s3654,s456,s4730,s746,s4348,s831,s3318,s2436,s2328,s1280,s3288,s3538,s4191,s63,s143,s4653,s4654]) ).
cnf(s4743,plain,
( spl0_76
| ~ spl0_184
| ~ spl0_96
| spl0_211
| spl0_8
| ~ spl0_218
| ~ spl0_14
| spl0_69
| spl0_18
| ~ spl0_73
| spl0_208 ),
inference(rat,[],[s4452,s1321,s2604,s4523,s2027,s4095,s1219,s230,s1063,s19,s828,s4015,s722,s3654,s4,s4730,s10,s1064,s1619,s4220,s143,s2542,s897,s4654,s4653]) ).
cnf(s4744,plain,
( spl0_97
| ~ spl0_166
| ~ spl0_96
| ~ spl0_21
| spl0_18
| ~ spl0_73 ),
inference(rat,[],[s3832,s115,s4122,s3708,s143]) ).
cnf(s4745,plain,
( ~ spl0_14
| spl0_69
| spl0_18
| spl0_193
| spl0_187 ),
inference(rat,[],[s4743,s4556,s173,s4744,s2613,s4742,s3535,s437,s4741,s2518,s426,s4740,s2542,s383,s1127,s63,s2631,s143,s4739,s4327,s32,s4653,s4654]) ).
cnf(s4746,plain,
( ~ spl0_110
| spl0_69
| spl0_18
| spl0_193
| spl0_187 ),
inference(rat,[],[s2191,s2258,s3708,s4462,s4556,s464,s2667,s4289,s437,s3638,s383,s63,s143,s4739,s32]) ).
cnf(s4747,plain,
( spl0_209
| ~ spl0_113
| ~ spl0_105
| ~ spl0_29
| spl0_193 ),
inference(rat,[],[s3423,s3782,s2467,s2233,s4327,s1127,s4654]) ).
cnf(s4748,plain,
( spl0_96
| ~ spl0_115
| spl0_69
| spl0_18
| spl0_193
| spl0_187 ),
inference(rat,[],[s3980,s3427,s289,s19,s3880,s3546,s3314,s3636,s1107,s610,s4206,s2092,s959,s487,s4462,s1283,s4747,s3346,s1048,s3708,s3655,s115,s4,s10,s4397,s1619,s2244,s4721,s2328,s1280,s571,s2170,s4191,s1127,s2631,s143,s4739,s4327,s12,s2356,s36,s4745,s32,s4746,s1517,s4654]) ).
cnf(s4749,plain,
( spl0_76
| ~ spl0_96
| ~ spl0_115
| spl0_110
| ~ spl0_29
| spl0_69
| spl0_18
| ~ spl0_73
| spl0_187 ),
inference(rat,[],[s828,s2201,s3655,s289,s4,s3880,s10,s4701,s1619,s2356,s32,s2613,s4654]) ).
cnf(s4750,plain,
( spl0_302
| ~ spl0_172
| ~ spl0_177
| ~ spl0_23
| ~ spl0_329
| spl0_85
| ~ spl0_71
| ~ spl0_96
| spl0_181
| ~ spl0_296
| ~ spl0_29
| spl0_208 ),
inference(rat,[],[s4704,s3988,s4654]) ).
cnf(s4751,plain,
( ~ spl0_115
| spl0_69
| spl0_18
| spl0_193
| spl0_187 ),
inference(rat,[],[s1267,s3809,s4463,s1631,s2527,s4750,s4465,s4462,s3683,s2712,s3880,s3287,s1951,s3314,s3423,s3660,s230,s3295,s2429,s19,s3832,s4,s42,s115,s2507,s4744,s3708,s1608,s173,s4749,s2613,s4748,s1517,s1127,s1016,s63,s143,s4739,s1146,s36,s4745,s1466,s4746,s4653]) ).
cnf(s4752,plain,
( spl0_96
| ~ spl0_218
| spl0_110
| ~ spl0_29
| spl0_69
| spl0_18
| ~ spl0_73
| spl0_193 ),
inference(rat,[],[s959,s4462,s4207,s1518,s2604,s2244,s456,s3346,s4348,s1048,s828,s3708,s3655,s4730,s4,s746,s10,s831,s1619,s4721,s2328,s1280,s3288,s2170,s4191,s63,s2631,s143,s4327,s2356,s32,s4654]) ).
cnf(s4753,plain,
( spl0_76
| ~ spl0_96
| ~ spl0_218
| spl0_110
| spl0_8
| ~ spl0_29
| spl0_69
| spl0_193
| spl0_187 ),
inference(rat,[],[s597,s1418,s456,s1064,s4348,s4556,s828,s3708,s1361,s3655,s115,s1350,s4,s433,s10,s2197,s1619,s63,s143,s4739,s4654]) ).
cnf(s4754,plain,
( spl0_69
| spl0_18
| spl0_193
| spl0_187 ),
inference(rat,[],[s3287,s2712,s3423,s4462,s2429,s2438,s4,s4730,s42,s115,s3708,s1608,s173,s4753,s4752,s426,s4751,s1466,s4746,s2356,s36,s4745,s1127,s63,s143,s4739,s32,s4653]) ).
cnf(s4755,plain,
( ~ spl0_14
| spl0_302
| ~ spl0_110
| ~ spl0_96
| ~ spl0_184
| spl0_185
| ~ spl0_69
| spl0_18
| ~ spl0_73
| spl0_208 ),
inference(rat,[],[s4095,s4172,s19,s785,s3427,s4207,s327,s1107,s4616,s2542,s929,s63,s143,s426,s1063,s1113,s828,s3654,s2150,s4654,s4653]) ).
cnf(s4756,plain,
( spl0_355
| spl0_249
| ~ spl0_195
| ~ spl0_69
| ~ spl0_52
| ~ spl0_183 ),
inference(rat,[],[s4464,s2080,s3197,s3191]) ).
cnf(s4758,plain,
( spl0_381
| spl0_249
| ~ spl0_178
| spl0_302
| spl0_222
| ~ spl0_195
| ~ spl0_196 ),
inference(rat,[],[s2638,s3282,s4464,s4251,s2080,s3728]) ).
cnf(s4759,plain,
( ~ spl0_110
| spl0_18
| spl0_193
| spl0_187 ),
inference(rat,[],[s2636,s4465,s4552,s1725,s3467,s1559,s4463,s4202,s3539,s2307,s3282,s3809,s4251,s3744,s3397,s1616,s4194,s3724,s2310,s4758,s4756,s1136,s3559,s1418,s3782,s433,s84,s36,s4755,s2233,s3445,s1283,s1518,s426,s4462,s1063,s2258,s4523,s1113,s437,s3641,s383,s1127,s32,s2269,s2631,s173,s4556,s63,s4191,s4669,s480,s1048,s3707,s143,s4327,s4348,s828,s3654,s2150,s4754,s4739,s4654,s4653]) ).
cnf(s4760,plain,
( ~ spl0_115
| spl0_110
| spl0_71
| spl0_76
| spl0_55 ),
inference(rat,[],[s3851,s4074,s1418,s231,s322,s433,s2201,s168,s84,s36,s3535,s3545,s3445,s4191,s4220,s4348,s4654]) ).
cnf(s4761,plain,
( ~ spl0_14
| ~ spl0_198
| spl0_62
| spl0_110
| ~ spl0_276
| ~ spl0_96
| ~ spl0_184
| spl0_185
| ~ spl0_69
| spl0_18
| ~ spl0_73
| spl0_208 ),
inference(rat,[],[s11,s713,s39,s3559,s3427,s2105,s19,s4095,s3346,s4523,s959,s785,s1321,s4462,s4207,s1518,s2604,s2027,s3535,s929,s4348,s828,s3654,s2150,s4653,s4654]) ).
cnf(s4762,plain,
( spl0_18
| spl0_193
| spl0_187 ),
inference(rat,[],[s1361,s597,s1350,s1418,s433,s84,s36,s4761,s1219,s456,s1063,s1064,s773,s426,s4760,s4759,s4348,s4220,s828,s4445,s4191,s4556,s1048,s173,s3654,s4669,s3707,s2150,s4754,s4327,s1127,s63,s143,s4739,s4653]) ).
cnf(s4763,plain,
( ~ spl0_14
| ~ spl0_115
| ~ spl0_110
| spl0_69
| spl0_193
| spl0_187 ),
inference(rat,[],[s3412,s4359,s4202,s3335,s2307,s3809,s2659,s4463,s4689,s1955,s2467,s4016,s2488,s1950,s3318,s2528,s4462,s1639,s19,s3295,s463,s4181,s4207,s42,s2507,s2508,s4,s1798,s2666,s1107,s3654,s3655,s4726,s2542,s146,s1127,s63,s2631,s143,s4739,s4327,s4762,s3445,s4654,s4653]) ).
cnf(s4764,plain,
( spl0_96
| ~ spl0_29
| spl0_181
| ~ spl0_110
| ~ spl0_18
| ~ spl0_73
| ~ spl0_183 ),
inference(rat,[],[s3683,s4465,s1288,s1964,s3423,s3645,s3546,s2429,s19,s4,s3845,s42,s115,s2191,s810,s3708,s1280,s2170,s966,s4191,s2631,s143,s1210]) ).
cnf(s4765,plain,
( spl0_35
| ~ spl0_29
| ~ spl0_18
| ~ spl0_73 ),
inference(rat,[],[s39,s3984,s3577,s3654,s4653]) ).
cnf(s4766,plain,
( ~ spl0_115
| ~ spl0_110
| spl0_69
| spl0_193
| spl0_187 ),
inference(rat,[],[s1533,s3644,s2201,s230,s19,s42,s4765,s4764,s36,s4763,s3445,s1517,s4327,s4739,s4762,s4654]) ).
cnf(s4767,plain,
( ~ spl0_14
| ~ spl0_218
| spl0_69
| spl0_193
| spl0_187 ),
inference(rat,[],[s463,s4462,s2666,s4724,s4726,s146,s63,s143,s4739,s4762,s2518,s383]) ).
cnf(s4768,plain,
( ~ spl0_110
| spl0_69
| spl0_193
| spl0_187 ),
inference(rat,[],[s19,s2528,s42,s2508,s3646,s4765,s36,s4767,s426,s4766,s4739,s4762]) ).
cnf(s4769,plain,
( spl0_96
| ~ spl0_35
| spl0_69
| spl0_193
| spl0_187 ),
inference(rat,[],[s4461,s2666,s3677,s3832,s2328,s4575,s4191,s143,s4739,s4768,s2429,s4,s115,s3546,s19,s42,s2191]) ).
cnf(s4770,plain,
( ~ spl0_115
| spl0_69
| spl0_193
| spl0_187 ),
inference(rat,[],[s1267,s3809,s4463,s1631,s2527,s4750,s3880,s3314,s4465,s4462,s4458,s3683,s2712,s2666,s3287,s1951,s1941,s3423,s1614,s1608,s3318,s2201,s2197,s4769,s3660,s230,s3295,s2429,s19,s4,s42,s115,s2507,s4765,s36,s3535,s3445,s1517,s1127,s1016,s63,s143,s4739,s1146,s4762,s1466,s4768,s4654]) ).
cnf(s4771,plain,
( spl0_69
| spl0_193
| spl0_187 ),
inference(rat,[],[s2712,s4462,s3287,s2438,s3423,s1608,s2197,s2429,s4,s4769,s4730,s42,s115,s4765,s36,s4767,s426,s4770,s1466,s4768,s1127,s63,s143,s4739,s4762]) ).
cnf(s4772,plain,
( spl0_193
| spl0_187 ),
inference(rat,[],[s3879,s146,s4765,s3654,s2150,s4771,s4762,s4739,s4653]) ).
cnf(s4773,plain,
( ~ spl0_4
| ~ spl0_211
| ~ spl0_21
| ~ spl0_111 ),
inference(rat,[],[s19,s2528,s722,s2135]) ).
cnf(s4774,plain,
( ~ spl0_115
| ~ spl0_14
| ~ spl0_58
| ~ spl0_232
| ~ spl0_111
| spl0_69
| spl0_18 ),
inference(rat,[],[s3427,s19,s39,s230,s237,s277,s3874,s3318,s1619,s10,s883,s4,s4773,s1732,s4348,s2436,s1639,s3445,s929,s2542,s4653,s4654]) ).
cnf(s4776,plain,
( ~ spl0_185
| ~ spl0_91
| spl0_71
| ~ spl0_39
| spl0_35
| ~ spl0_193 ),
inference(rat,[],[s2110,s1736,s477,s390,s3665,s688,s4653]) ).
cnf(s4777,plain,
( ~ spl0_14
| spl0_73
| ~ spl0_110
| spl0_69
| spl0_18
| spl0_187 ),
inference(rat,[],[s560,s4465,s3845,s584,s2587,s1089,s1135,s2110,s3537,s3698,s480,s4776,s4220,s3318,s2436,s3874,s3538,s3880,s2612,s2611,s2492,s230,s2027,s19,s4773,s722,s3655,s115,s2500,s426,s4774,s2542,s929,s4772,s3641,s437,s32,s578,s4289,s3638,s383,s158,s4654]) ).
cnf(s4778,plain,
( ~ spl0_208
| ~ spl0_111 ),
inference(rat,[],[s560,s3845,s4465,s1132,s2572]) ).
cnf(s4779,plain,
( ~ spl0_91
| spl0_35
| spl0_71
| spl0_180
| spl0_73
| ~ spl0_193 ),
inference(rat,[],[s3698,s2110,s4776,s3654,s4653]) ).
cnf(s4780,plain,
( ~ spl0_53
| ~ spl0_60
| ~ spl0_13
| ~ spl0_58
| spl0_69
| spl0_187 ),
inference(rat,[],[s3427,s227,s1846,s3845,s19,s480,s799,s230,s3537,s852,s822,s72,s233,s2138,s721,s4772]) ).
cnf(s4781,plain,
( ~ spl0_115
| ~ spl0_13
| spl0_73
| spl0_208
| ~ spl0_232
| spl0_222
| spl0_69
| spl0_187 ),
inference(rat,[],[s2162,s4779,s4355,s4220,s3318,s4780,s4348,s2436,s4663,s1639,s383,s4772,s158,s4654]) ).
cnf(s4782,plain,
( spl0_96
| ~ spl0_71
| ~ spl0_4
| ~ spl0_218
| ~ spl0_29
| ~ spl0_197
| ~ spl0_111
| ~ spl0_110
| spl0_69 ),
inference(rat,[],[s4773,s2027,s3314,s3645,s11,s433,s744,s1350,s4290,s571,s2431,s4191,s578,s4289,s455]) ).
cnf(s4783,plain,
( ~ spl0_304
| spl0_97
| ~ spl0_185
| spl0_192
| ~ spl0_71
| spl0_53
| spl0_35
| ~ spl0_193 ),
inference(rat,[],[s3355,s2320,s1258,s4464,s3965,s1943,s3791,s1545,s2063,s3674,s2436,s4654]) ).
cnf(s4784,plain,
( spl0_304
| spl0_373
| ~ spl0_200
| ~ spl0_178
| ~ spl0_218
| spl0_208 ),
inference(rat,[],[s3539,s3282,s4463,s4251,s1270,s3421,s3809]) ).
cnf(s4785,plain,
( ~ spl0_71
| spl0_76
| spl0_53
| ~ spl0_178
| ~ spl0_4
| ~ spl0_218
| ~ spl0_29
| spl0_73
| ~ spl0_197
| ~ spl0_111
| ~ spl0_110
| spl0_69
| spl0_18
| ~ spl0_193 ),
inference(rat,[],[s3355,s2320,s1258,s4464,s3694,s1943,s3791,s1545,s2063,s3674,s4784,s1955,s4054,s3300,s4088,s390,s4208,s688,s2605,s3698,s3861,s3691,s1789,s3586,s3427,s4290,s39,s1350,s3845,s19,s3851,s433,s799,s230,s231,s2197,s172,s4782,s2436,s32,s4778,s115,s3655,s4654,s4653]) ).
cnf(s4786,plain,
( spl0_76
| spl0_53
| ~ spl0_178
| ~ spl0_4
| ~ spl0_218
| ~ spl0_29
| spl0_73
| ~ spl0_197
| ~ spl0_111
| ~ spl0_110
| spl0_69
| spl0_18
| ~ spl0_193 ),
inference(rat,[],[s2065,s3636,s3698,s477,s4776,s4779,s4785,s4220,s2544,s4778,s115,s3655,s4653,s4654]) ).
cnf(s4787,plain,
( spl0_53
| ~ spl0_178
| ~ spl0_4
| spl0_115
| ~ spl0_29
| spl0_73
| spl0_184
| ~ spl0_197
| ~ spl0_111
| ~ spl0_110
| spl0_69
| spl0_18
| ~ spl0_193 ),
inference(rat,[],[s1959,s1817,s4464,s4463,s2638,s3465,s3282,s4204,s4251,s3405,s3421,s3809,s4783,s1736,s477,s390,s1955,s3665,s688,s4054,s3698,s4088,s3845,s1789,s4208,s799,s141,s2605,s48,s172,s250,s3861,s4191,s404,s3586,s1350,s246,s433,s3880,s3645,s2492,s2028,s173,s4786,s63,s32,s4523,s426,s115,s3655,s2712,s4778,s4653,s4654]) ).
cnf(s4788,plain,
( spl0_73
| ~ spl0_110
| spl0_69
| spl0_18
| spl0_187 ),
inference(rat,[],[s4780,s89,s4787,s4462,s4695,s2500,s426,s4781,s12,s36,s4777,s158,s4772,s4289,s3638,s2667,s437,s32,s383,s4778,s3641]) ).
cnf(s4789,plain,
( ~ spl0_115
| spl0_53
| spl0_208
| ~ spl0_232
| spl0_222
| spl0_69
| spl0_187 ),
inference(rat,[],[s688,s3654,s480,s2191,s3537,s2258,s564,s4462,s1283,s2233,s390,s1736,s2110,s4220,s3318,s2436,s4663,s1639,s383,s4772,s4653,s4654]) ).
cnf(s4790,plain,
( spl0_209
| ~ spl0_91
| spl0_71
| spl0_208
| ~ spl0_193 ),
inference(rat,[],[s1736,s2110,s390,s2467,s2233,s4654]) ).
cnf(s4791,plain,
( spl0_112
| ~ spl0_29
| spl0_19
| ~ spl0_4
| ~ spl0_218
| spl0_181
| ~ spl0_111
| ~ spl0_110 ),
inference(rat,[],[s4773,s2027,s3314,s3645,s11,s433,s744,s1350,s455]) ).
cnf(s4792,plain,
( ~ spl0_110
| spl0_69
| spl0_18
| spl0_187 ),
inference(rat,[],[s433,s1418,s84,s3559,s3586,s4290,s4791,s36,s2488,s4790,s1135,s1136,s3537,s480,s3999,s4220,s4348,s173,s828,s3708,s3655,s115,s2500,s426,s4789,s143,s4788,s4778,s578,s4289,s437,s3638,s3641,s383,s4772,s32,s4653,s4654]) ).
cnf(s4793,plain,
( ~ spl0_71
| ~ spl0_115
| ~ spl0_58
| spl0_69
| ~ spl0_196 ),
inference(rat,[],[s2667,s1941,s438,s1614,s1533,s2436,s3445,s4654]) ).
cnf(s4794,plain,
( ~ spl0_232
| spl0_53
| spl0_71
| ~ spl0_115
| spl0_110 ),
inference(rat,[],[s4760,s2328,s3318,s3677,s1639]) ).
cnf(s4795,plain,
( ~ spl0_184
| ~ spl0_115
| spl0_73
| spl0_110
| spl0_69
| ~ spl0_28
| spl0_187 ),
inference(rat,[],[s2328,s2244,s4191,s438,s4687,s2667,s383,s158,s1517]) ).
cnf(s4796,plain,
( ~ spl0_115
| spl0_73
| spl0_110
| spl0_69
| ~ spl0_28
| spl0_187 ),
inference(rat,[],[s4794,s4181,s4780,s4795,s4348,s4793,s12,s3535,s3445,s383,s158,s4654]) ).
cnf(s4797,plain,
( ~ spl0_14
| ~ spl0_71
| spl0_73
| spl0_69
| spl0_18 ),
inference(rat,[],[s4694,s4458,s2596,s2616,s3538,s2542,s32,s158,s2436,s4654]) ).
cnf(s4798,plain,
( ~ spl0_232
| spl0_53
| spl0_73
| spl0_110
| spl0_69
| spl0_18
| ~ spl0_193 ),
inference(rat,[],[s2600,s2587,s2065,s1789,s981,s4465,s817,s597,s3845,s19,s4208,s799,s230,s2605,s172,s3861,s4191,s2328,s3677,s2338,s32,s2544]) ).
cnf(s4799,plain,
( spl0_76
| spl0_211
| ~ spl0_219
| ~ spl0_184
| ~ spl0_218
| spl0_73
| ~ spl0_193 ),
inference(rat,[],[s3847,s688,s3300,s3698,s591,s1281,s4462,s1518,s3654,s2027,s4730,s1219,s1064,s4220,s4653]) ).
cnf(s4800,plain,
( ~ spl0_305
| ~ spl0_330
| ~ spl0_331
| spl0_302
| ~ spl0_71 ),
inference(rat,[],[s1545,s3679,s2068,s2088]) ).
cnf(s4801,plain,
( ~ spl0_55
| spl0_35
| ~ spl0_71
| spl0_53
| spl0_73
| spl0_69
| spl0_18
| spl0_187 ),
inference(rat,[],[s4017,s3302,s2320,s2638,s4464,s1970,s4800,s19,s2600,s4402,s2086,s1884,s1460,s490,s2190,s1951,s477,s3422,s390,s4783,s3665,s688,s4208,s3698,s2612,s1281,s4523,s959,s785,s4462,s745,s4207,s1518,s2604,s2244,s3288,s2328,s2544,s63,s36,s12,s4797,s173,s4799,s1533,s438,s2667,s383,s158,s2669,s4182,s4798,s426,s4796,s4792,s32,s4772,s3654,s4653]) ).
cnf(s4802,plain,
( ~ spl0_96
| ~ spl0_184
| spl0_73
| spl0_69
| spl0_18
| spl0_187 ),
inference(rat,[],[s4693,s172,s32]) ).
cnf(s4803,plain,
( ~ spl0_71
| spl0_53
| spl0_73
| spl0_69
| spl0_18
| spl0_187 ),
inference(rat,[],[s744,s11,s4730,s246,s4801,s2431,s4799,s1533,s426,s4796,s32,s2669,s2604,s2244,s2328,s4191,s4802,s438,s2667,s4182,s4798,s4792,s4772,s383,s158]) ).
cnf(s4804,plain,
( spl0_53
| spl0_73
| spl0_69
| spl0_18
| spl0_187 ),
inference(rat,[],[s3847,s688,s1736,s3698,s1281,s3655,s4462,s3832,s4803,s1518,s2244,s2328,s4191,s4802,s438,s2667,s2670,s4182,s4798,s383,s4772,s4792,s158,s4654]) ).
cnf(s4805,plain,
( spl0_73
| spl0_69
| spl0_18
| spl0_187 ),
inference(rat,[],[s1846,s3427,s3845,s19,s480,s799,s230,s3537,s227,s277,s822,s72,s3874,s2138,s4804,s158,s721,s4772]) ).
cnf(s4806,plain,
( ~ spl0_115
| spl0_106
| spl0_322
| spl0_85
| spl0_192
| spl0_324
| spl0_31
| ~ spl0_71
| spl0_110
| ~ spl0_193 ),
inference(rat,[],[s4488,s3809,s4194,s3400,s3724,s4202,s1974,s3463,s4191,s1401,s3966,s4635,s1288,s2467,s3893,s3422,s3423,s3287,s3845,s3683,s817,s2572,s4465,s1973,s36,s1533,s3535,s3545,s3445,s1517,s1466,s4654]) ).
cnf(s4807,plain,
( spl0_96
| ~ spl0_218
| spl0_106
| spl0_322
| spl0_111
| spl0_192
| spl0_31
| ~ spl0_104
| spl0_53
| spl0_110
| ~ spl0_193 ),
inference(rat,[],[s3467,s3791,s4194,s4202,s3455,s3724,s3463,s1974,s1401,s4635,s3893,s3422,s3287,s3845,s3683,s817,s4465,s1973,s4552,s2244,s1361,s2604,s745,s12,s36,s2328,s3538,s4191,s1466]) ).
cnf(s4808,plain,
( ~ spl0_171
| spl0_181
| ~ spl0_29
| ~ spl0_96
| spl0_85
| spl0_31
| ~ spl0_296 ),
inference(rat,[],[s2467,s3966,s3423,s3287,s3683,s2572]) ).
cnf(s4810,plain,
( spl0_209
| ~ spl0_346
| spl0_208
| ~ spl0_29
| ~ spl0_218
| spl0_106
| ~ spl0_296 ),
inference(rat,[],[s2106,s4675,s2467,s2233,s4654]) ).
cnf(s4811,plain,
( ~ spl0_71
| spl0_69
| spl0_18
| spl0_187 ),
inference(rat,[],[s3400,s4202,s3809,s1548,s1631,s4750,s4462,s2712,s3287,s1951,s3966,s4810,s3880,s3314,s3660,s1515,s1003,s2027,s938,s2244,s1533,s480,s981,s776,s4465,s4808,s2604,s745,s12,s36,s2542,s4122,s4807,s173,s1619,s10,s2500,s2518,s426,s4806,s3546,s2323,s2528,s230,s19,s2065,s3295,s2429,s42,s2191,s2507,s2508,s4,s3654,s3655,s828,s2436,s383,s4772,s2544,s1466,s4792,s143,s4805,s4654,s4653]) ).
cnf(s4812,plain,
( ~ spl0_115
| spl0_71
| ~ spl0_73
| spl0_110
| spl0_69
| ~ spl0_28
| spl0_187 ),
inference(rat,[],[s3287,s3683,s1135,s4465,s3537,s1707,s480,s3999,s173,s3708,s3655,s115,s3832,s2666,s4289,s4182,s4794,s1517,s383,s4772,s1466,s143,s4348,s4653,s4654]) ).
cnf(s4813,plain,
( spl0_35
| spl0_69
| spl0_18
| spl0_187 ),
inference(rat,[],[s19,s722,s4155,s2542,s36,s85,s4191,s3288,s79,s4157,s747,s454,s1736,s799,s1098,s390,s3845,s4465,s937,s1132,s3683,s2712,s1518,s3287,s4462,s1135,s564,s3537,s4,s480,s10,s3999,s1619,s173,s3708,s3654,s4772,s1466,s63,s143,s4348,s2518,s426,s4812,s4811,s4805,s4792,s32,s383,s4654,s4653]) ).
cnf(s4814,plain,
( spl0_69
| spl0_18
| spl0_187 ),
inference(rat,[],[s3318,s4807,s1619,s3546,s2323,s2528,s2613,s10,s2429,s19,s3832,s4,s2065,s42,s115,s2191,s2507,s2508,s4813,s2518,s426,s4812,s4811,s143,s4805,s4792,s2544,s383,s4772,s32]) ).
cnf(s4815,plain,
( ~ spl0_71
| spl0_222
| ~ spl0_111
| ~ spl0_110
| spl0_73
| ~ spl0_69
| spl0_187 ),
inference(rat,[],[s2528,s19,s3709,s2105,s434,s2431,s1219,s1113,s2669,s1941,s1517,s426,s4220,s2500,s173,s234,s1614,s3707,s2436,s145,s383,s4653,s4654]) ).
cnf(s4816,plain,
( spl0_53
| spl0_71
| spl0_222
| ~ spl0_111
| spl0_73
| ~ spl0_69
| spl0_187 ),
inference(rat,[],[s19,s2528,s3427,s3710,s39,s769,s3880,s1219,s2492,s1288,s2712,s4462,s2258,s1789,s3636,s3698,s477,s4776,s4779,s4220,s173,s3707,s63,s383,s4772,s3654,s2150,s4778,s4653]) ).
cnf(s4817,plain,
( ~ spl0_115
| ~ spl0_384
| ~ spl0_53
| ~ spl0_58
| spl0_18
| spl0_187 ),
inference(rat,[],[s4671,s96,s304,s2,s1363,s2135,s392,s3445,s32,s3874,s154,s142,s2635,s4814,s4654]) ).
cnf(s4818,plain,
( ~ spl0_110
| spl0_73
| spl0_18
| spl0_187 ),
inference(rat,[],[s2244,s4707,s1022,s4181,s4711,s4706,s2500,s426,s4817,s2635,s3625,s232,s227,s961,s154,s1228,s3902,s72,s3874,s142,s2138,s4816,s4348,s4815,s4778,s4523,s437,s3641,s721,s383,s288,s32,s3654,s2150,s4814,s158,s4653]) ).
cnf(s4819,plain,
( ~ spl0_115
| ~ spl0_71
| spl0_110
| spl0_73
| ~ spl0_69
| spl0_187 ),
inference(rat,[],[s3423,s2429,s3287,s4663,s2105,s3683,s2572,s2431,s4465,s4532,s1098,s438,s36,s2669,s1533,s3535,s1941,s3445,s1517,s383,s4772,s158,s1466,s1614,s4,s234,s2436,s4654]) ).
cnf(s4820,plain,
( spl0_206
| spl0_211
| ~ spl0_194
| ~ spl0_218
| spl0_76
| spl0_53
| spl0_73
| ~ spl0_193 ),
inference(rat,[],[s4799,s2615,s4182,s2244,s3677]) ).
cnf(s4821,plain,
( ~ spl0_71
| spl0_73
| spl0_18
| spl0_187 ),
inference(rat,[],[s4458,s3427,s3314,s572,s2605,s4208,s39,s597,s3851,s2338,s231,s4181,s2616,s172,s1064,s4191,s2592,s2328,s2635,s4820,s1533,s438,s2500,s426,s4819,s4,s4367,s173,s234,s3707,s2436,s145,s383,s4772,s32,s4814,s158,s4818,s4653,s4654]) ).
cnf(s4822,plain,
( ~ spl0_115
| ~ spl0_180
| spl0_76
| spl0_53
| spl0_71
| spl0_110
| spl0_73
| spl0_187 ),
inference(rat,[],[s2572,s4663,s4465,s438,s1098,s2244,s2669,s2328,s4182,s4760,s4794,s1517,s383,s4772,s158]) ).
cnf(s4823,plain,
( ~ spl0_55
| ~ spl0_218
| ~ spl0_192
| spl0_76
| spl0_53
| ~ spl0_60
| spl0_110 ),
inference(rat,[],[s1518,s2244,s4462,s456,s1281,s746,s4182,s831,s3677,s3288,s2328,s63]) ).
cnf(s4824,plain,
( spl0_53
| spl0_73
| spl0_18
| spl0_187 ),
inference(rat,[],[s2587,s1089,s3845,s3851,s799,s231,s172,s4191,s4823,s426,s4822,s1789,s3698,s4776,s4779,s4220,s173,s3707,s4772,s3654,s2150,s4814,s4818,s4348,s4821,s4653]) ).
cnf(s4825,plain,
( ~ spl0_115
| spl0_73
| spl0_18
| spl0_187 ),
inference(rat,[],[s1057,s237,s1706,s875,s390,s688,s480,s2082,s4465,s817,s4817,s3545,s3654,s2150,s4814,s4818,s1228,s4348,s4821,s822,s2138,s158,s3845,s799,s277,s3874,s4824,s4772,s4653]) ).
cnf(s4826,plain,
( spl0_206
| spl0_73
| spl0_18
| spl0_187 ),
inference(rat,[],[s688,s390,s4708,s1743,s2092,s4465,s1406,s4397,s817,s2244,s2338,s1022,s4181,s4706,s3654,s2150,s4814,s1466,s4818,s4348,s4821,s3902,s288,s4402,s961,s2138,s227,s72,s721,s1132,s3845,s799,s277,s3874,s4824,s4772,s426,s4825,s4653]) ).
cnf(s4827,plain,
( ~ spl0_184
| ~ spl0_108
| ~ spl0_116
| spl0_110
| spl0_73
| spl0_187 ),
inference(rat,[],[s817,s4465,s1361,s1098,s4299,s2669,s4772]) ).
cnf(s4828,plain,
( spl0_73
| spl0_18
| spl0_187 ),
inference(rat,[],[s2637,s1706,s4220,s390,s4776,s688,s480,s2082,s4465,s817,s2338,s4181,s4827,s2635,s4826,s3845,s799,s277,s822,s1228,s3902,s3874,s2138,s4824,s4348,s4821,s4818,s158,s4772,s288,s3654,s2150,s4814,s4653]) ).
cnf(s4829,plain,
( ~ spl0_115
| ~ spl0_110
| spl0_18
| spl0_187 ),
inference(rat,[],[s3559,s4208,s929,s961,s36,s3346,s168,s584,s2170,s2600,s2105,s19,s4465,s2528,s2082,s3709,s434,s317,s1515,s596,s3630,s2106,s2269,s390,s487,s2258,s564,s1736,s4462,s2110,s1283,s4663,s1517,s383,s480,s3999,s4348,s437,s32,s4790,s4778,s3641,s828,s3654,s4220,s173,s3708,s4828,s2150,s4814,s4772,s4653]) ).
cnf(s4830,plain,
( ~ spl0_384
| ~ spl0_4
| ~ spl0_218
| ~ spl0_209
| ~ spl0_110
| spl0_185
| spl0_76
| ~ spl0_52
| spl0_71
| ~ spl0_69
| spl0_18 ),
inference(rat,[],[s959,s3346,s4462,s4207,s2488,s1518,s2604,s36,s2027,s455,s1219,s1064,s1063,s2135,s3710,s4220]) ).
cnf(s4831,plain,
( ~ spl0_110
| spl0_18
| spl0_187 ),
inference(rat,[],[s1271,s3744,s3674,s1616,s2378,s3724,s4464,s3191,s2310,s390,s4089,s4758,s1736,s1136,s1789,s3314,s3851,s231,s4462,s85,s4695,s36,s2542,s3586,s722,s2105,s19,s2528,s4830,s2500,s426,s4829,s4790,s4778,s4523,s437,s3641,s383,s4772,s32,s63,s143,s4220,s480,s3999,s173,s3708,s4348,s828,s3654,s2150,s4814,s4828,s4654,s4653]) ).
cnf(s4832,plain,
( spl0_208
| spl0_222
| ~ spl0_115
| spl0_18
| spl0_187 ),
inference(rat,[],[s3630,s2092,s2269,s487,s2258,s4462,s1283,s4790,s383,s4772,s4220,s3999,s4348,s4397,s2244,s2328,s4760,s173,s3708,s828,s4828,s3654,s2150,s4814,s4831,s1517,s4653]) ).
cnf(s4833,plain,
( spl0_318
| spl0_302
| spl0_219
| ~ spl0_184
| ~ spl0_55
| ~ spl0_296 ),
inference(rat,[],[s3397,s4251,s3724,s3281,s1974,s1401]) ).
cnf(s4834,plain,
( ~ spl0_208
| spl0_194
| ~ spl0_378
| ~ spl0_13
| ~ spl0_29
| ~ spl0_184
| ~ spl0_55
| ~ spl0_211
| ~ spl0_296
| spl0_185
| ~ spl0_60
| spl0_76
| ~ spl0_52
| ~ spl0_69
| ~ spl0_28
| ~ spl0_193 ),
inference(rat,[],[s4412,s2058,s2307,s3191,s2146,s2393,s4833,s2050,s232,s4464,s154,s2343,s141,s1884,s1298,s794,s852,s4157,s1463,s3300,s799,s1973,s2056,s2093,s1098,s390,s3845,s4465,s937,s1132,s2572,s571]) ).
cnf(s4835,plain,
( ~ spl0_115
| spl0_18
| spl0_187 ),
inference(rat,[],[s3546,s3636,s3346,s610,s3287,s2092,s3683,s487,s4465,s4462,s776,s1283,s4832,s4790,s4834,s19,s4397,s2105,s2244,s4552,s12,s36,s3586,s2328,s4182,s3535,s4760,s4794,s3445,s1517,s4772,s32,s63,s143,s4220,s480,s3999,s173,s3708,s4348,s828,s3654,s2150,s4814,s4828,s1466,s4831,s4654,s4653]) ).
cnf(s4836,plain,
( ~ spl0_204
| ~ spl0_194
| ~ spl0_198
| spl0_62
| ~ spl0_60 ),
inference(rat,[],[s4472,s237,s597,s1057]) ).
cnf(s4838,plain,
( ~ spl0_184
| spl0_18
| spl0_187 ),
inference(rat,[],[s2387,s3679,s3302,s2378,s2638,s4464,s4089,s4523,s745,s12,s36,s390,s2488,s1951,s1736,s3346,s1281,s564,s433,s959,s4462,s1350,s4207,s3420,s1361,s4836,s4790,s2572,s4465,s456,s1219,s1098,s1064,s773,s1063,s383,s4772,s4220,s480,s3999,s173,s3708,s4348,s828,s3654,s2150,s4814,s4828,s4831,s426,s4835,s4653]) ).
cnf(s4839,plain,
( ~ spl0_171
| ~ spl0_4
| spl0_55
| ~ spl0_204
| spl0_181
| ~ spl0_296
| spl0_76
| spl0_71
| ~ spl0_73
| spl0_18
| ~ spl0_193 ),
inference(rat,[],[s3879,s85,s2542,s799,s4015,s3845,s3287,s817,s3683,s143,s4191,s4654]) ).
cnf(s4840,plain,
( ~ spl0_249
| spl0_208
| ~ spl0_296
| ~ spl0_28
| ~ spl0_196 ),
inference(rat,[],[s2712,s3287,s4462,s1135,s564]) ).
cnf(s4841,plain,
( spl0_208
| spl0_18
| spl0_187 ),
inference(rat,[],[s4464,s2080,s2378,s2310,s3679,s2633,s2112,s2661,s4222,s4150,s1874,s4157,s237,s235,s3880,s4479,s4208,s39,s597,s3427,s1415,s19,s1405,s3546,s2027,s3636,s3535,s2542,s929,s610,s36,s3342,s85,s2592,s799,s3346,s4,s3845,s3287,s4839,s817,s3683,s363,s4465,s2082,s4840,s383,s4772,s32,s4220,s480,s3999,s173,s3708,s4348,s828,s3654,s2150,s1466,s426,s4835,s1022,s3710,s4814,s63,s2338,s4191,s2328,s3677,s4181,s4838,s143,s4828,s4831,s4653,s4654]) ).
cnf(s4842,plain,
( spl0_18
| spl0_187 ),
inference(rat,[],[s722,s19,s2542,s4155,s36,s4157,s2500,s84,s454,s1736,s799,s776,s1213,s390,s3845,s4465,s3926,s937,s1132,s2572,s4841,s4191,s2328,s3677,s4181,s4838,s426,s4835,s1466,s4831,s480,s3999,s4348,s173,s828,s3708,s143,s4828,s3654,s2150,s4814,s383,s4772,s4654,s4653]) ).
cnf(s4843,plain,
( spl0_73
| ~ spl0_184
| spl0_69
| ~ spl0_71
| ~ spl0_110
| spl0_187 ),
inference(rat,[],[s2604,s2027,s744,s2492,s11,s3880,s246,s4799,s2431,s3646,s426,s1533,s1113,s4793,s438,s2669,s158,s4772,s2667,s383,s455,s36,s4726,s2666,s4842]) ).
cnf(s4846,plain,
( ~ spl0_302
| spl0_180
| spl0_324 ),
inference(rat,[],[s1817,s3809,s4463,s1631,s2527]) ).
cnf(s4847,plain,
( ~ spl0_318
| spl0_302
| ~ spl0_115
| spl0_322
| spl0_31
| ~ spl0_29
| ~ spl0_71 ),
inference(rat,[],[s4195,s1545,s4488,s3679,s2146,s2387,s4654]) ).
cnf(s4848,plain,
( ~ spl0_184
| spl0_69
| ~ spl0_71
| ~ spl0_110
| spl0_187 ),
inference(rat,[],[s4464,s2638,s3906,s3302,s4847,s4846,s1951,s3423,s1288,s3683,s4465,s4191,s1973,s3644,s1533,s3445,s1517,s3646,s3645,s2323,s2528,s230,s2429,s19,s2065,s3295,s4,s42,s2191,s2507,s2508,s3655,s4765,s828,s4843,s36,s4726,s2666,s4772,s4842,s63,s145,s2544,s4654]) ).
cnf(s4849,plain,
( spl0_333
| ~ spl0_178
| ~ spl0_331
| ~ spl0_108
| spl0_208
| spl0_221
| spl0_302
| ~ spl0_21
| ~ spl0_218 ),
inference(rat,[],[s3539,s3282,s4463,s4251,s1553,s3424,s2088,s3809,s3679,s3674,s4654]) ).
cnf(s4850,plain,
( ~ spl0_14
| spl0_73
| spl0_184
| spl0_69
| ~ spl0_71
| ~ spl0_295
| spl0_187 ),
inference(rat,[],[s2661,s1545,s1516,s4849,s4462,s2438,s1460,s1089,s11,s744,s404,s250,s141,s154,s2587,s232,s3845,s2087,s230,s3291,s19,s2065,s938,s4730,s42,s2191,s2508,s3693,s1799,s681,s3654,s3538,s4726,s2542,s146,s929,s4772,s4842,s2544,s426,s1941,s1614,s2436,s4653,s4654]) ).
cnf(s4851,plain,
( spl0_35
| ~ spl0_185
| ~ spl0_29
| ~ spl0_18 ),
inference(rat,[],[s3541,s3880,s477,s39,s3665,s4108,s3577,s3654,s4653]) ).
cnf(s4852,plain,
( ~ spl0_35
| ~ spl0_111 ),
inference(rat,[],[s19,s2528,s42,s2508]) ).
cnf(s4853,plain,
( spl0_73
| spl0_69
| ~ spl0_71
| ~ spl0_110
| spl0_187 ),
inference(rat,[],[s2110,s4220,s477,s2028,s3636,s2492,s2065,s3880,s3698,s39,s4851,s3577,s4852,s4778,s3646,s36,s4850,s4772,s4842,s1210,s63,s145,s2544,s1941,s4848,s1614,s2436,s4653,s4654]) ).
cnf(s4854,plain,
( ~ spl0_333
| ~ spl0_14
| spl0_85
| ~ spl0_71 ),
inference(rat,[],[s2661,s1545,s1516,s3538,s2436,s4654]) ).
cnf(s4855,plain,
( spl0_180
| spl0_333
| ~ spl0_108
| spl0_208
| spl0_302
| ~ spl0_21
| spl0_221
| ~ spl0_218 ),
inference(rat,[],[s4462,s4849,s2438,s1460]) ).
cnf(s4856,plain,
( spl0_69
| ~ spl0_71
| ~ spl0_110
| spl0_187 ),
inference(rat,[],[s3342,s2488,s683,s2467,s4855,s4854,s3845,s938,s3291,s3693,s1798,s681,s3538,s4726,s2542,s36,s230,s3646,s19,s2065,s4852,s4730,s42,s2191,s3654,s828,s4853,s426,s1941,s4848,s2544,s4772,s4842,s1614,s2436,s4654,s4653]) ).
cnf(s4857,plain,
( ~ spl0_71
| ~ spl0_110
| spl0_187 ),
inference(rat,[],[s2105,s3559,s2429,s1012,s2682,s168,s2197,s1940,s3880,s36,s4220,s39,s828,s146,s4,s966,s173,s3577,s3654,s234,s3707,s2150,s4856,s2436,s145,s4842,s4653,s4654]) ).
cnf(s4858,plain,
( ~ spl0_14
| spl0_69
| spl0_71
| spl0_187 ),
inference(rat,[],[s845,s11,s10,s744,s2518,s426,s4133,s404,s3845,s251,s876,s2233,s3559,s390,s4479,s1736,s19,s2065,s4730,s42,s2191,s4,s3693,s2666,s3654,s3655,s4726,s2542,s146,s929,s383,s4772,s4842,s2544,s4654,s4653]) ).
cnf(s4859,plain,
( ~ spl0_184
| spl0_69
| ~ spl0_110
| spl0_187 ),
inference(rat,[],[s1884,s2587,s1418,s3845,s433,s4519,s3422,s3423,s3541,s477,s1280,s3636,s3630,s2572,s822,s4465,s4191,s2065,s4157,s3537,s1098,s1113,s4780,s3880,s3698,s480,s2669,s158,s39,s4851,s4765,s3577,s30,s115,s437,s3832,s2667,s2666,s383,s4772,s4842,s4348,s2544,s36,s12,s4858,s4857,s4654,s4653]) ).
cnf(s4860,plain,
( ~ spl0_115
| spl0_35
| spl0_69
| ~ spl0_110
| spl0_187 ),
inference(rat,[],[s3620,s3187,s2253,s3412,s4202,s2307,s2146,s2050,s1922,s4464,s2343,s1955,s3845,s794,s404,s1884,s3970,s1132,s3300,s251,s852,s2201,s4790,s390,s3586,s289,s4220,s2233,s4719,s3318,s1283,s1639,s3445,s4181,s4859,s3880,s39,s3577,s4780,s4348,s12,s4157,s3698,s822,s158,s4765,s4462,s564,s3537,s480,s4851,s36,s4858,s4857,s4842,s4772,s383,s4654,s4653]) ).
cnf(s4861,plain,
( spl0_35
| spl0_69
| ~ spl0_110
| spl0_187 ),
inference(rat,[],[s4779,s477,s4220,s3636,s2028,s4778,s1405,s3646,s426,s4860,s63,s2053,s2065,s4780,s3880,s3698,s158,s39,s4851,s4765,s3577,s4772,s4842,s4348,s2544,s36,s12,s4858,s4857,s4859,s4653]) ).
cnf(s4862,plain,
( spl0_69
| ~ spl0_110
| spl0_187 ),
inference(rat,[],[s1950,s4207,s490,s404,s3288,s4462,s251,s63,s1283,s3559,s3874,s2233,s852,s275,s85,s390,s30,s230,s1736,s3646,s3631,s19,s2086,s2065,s4852,s42,s2191,s4861,s4859,s12,s36,s4858,s2544,s383,s4772,s4348,s4857,s4654]) ).
cnf(s4863,plain,
( ~ spl0_184
| ~ spl0_110
| spl0_187 ),
inference(rat,[],[s817,s3845,s3334,s799,s4299,s852,s3902,s233,s3707,s4465,s966,s1098,s1113,s2669,s4348,s4857,s3854,s12,s1789,s3698,s4851,s3984,s39,s3577,s36,s146,s3654,s4842,s2150,s4862,s4772,s4653]) ).
cnf(s4864,plain,
( ~ spl0_53
| ~ spl0_115
| ~ spl0_110
| spl0_187 ),
inference(rat,[],[s4738,s2572,s2637,s4465,s3645,s289,s2082,s235,s852,s822,s3874,s233,s2138,s4348,s12,s3880,s158,s480,s2135,s3445,s3832,s3700,s4851,s3984,s39,s3577,s36,s146,s3654,s4842,s2150,s4862,s4772,s4857,s4653,s4654]) ).
cnf(s4865,plain,
( spl0_53
| spl0_104
| ~ spl0_69
| spl0_71
| ~ spl0_18 ),
inference(rat,[],[s2201,s966,s289,s3707,s3318,s36,s146,s3654,s3880,s39,s3577,s2150,s4653]) ).
cnf(s4866,plain,
( ~ spl0_110
| spl0_187 ),
inference(rat,[],[s2244,s2637,s1406,s3645,s289,s426,s1811,s235,s852,s4864,s3874,s233,s4865,s1022,s4863,s234,s3832,s3700,s4851,s3984,s3880,s12,s36,s39,s146,s3577,s3654,s2150,s4862,s4348,s4857,s4772,s4842,s4653]) ).
cnf(s4867,plain,
( ~ spl0_14
| ~ spl0_71
| spl0_69
| spl0_187 ),
inference(rat,[],[s22,s1089,s2112,s4855,s3679,s2587,s4854,s3845,s230,s3291,s4150,s19,s2065,s2429,s426,s938,s4730,s42,s2191,s4,s3445,s3693,s1798,s681,s3654,s3655,s3535,s4726,s2542,s146,s929,s4772,s4842,s1466,s4866,s2544,s4654,s4653]) ).
cnf(s4868,plain,
( ~ spl0_115
| ~ spl0_71
| spl0_69
| spl0_187 ),
inference(rat,[],[s4806,s2323,s3546,s230,s3295,s2429,s19,s2065,s4,s42,s2191,s2507,s3655,s4765,s828,s158,s4793,s383,s4772,s4842,s4866,s2544,s36,s4867,s4654]) ).
cnf(s4870,plain,
( spl0_85
| ~ spl0_96
| spl0_107
| ~ spl0_204
| spl0_181
| spl0_302
| ~ spl0_23
| ~ spl0_195
| ~ spl0_29
| ~ spl0_71
| spl0_187 ),
inference(rat,[],[s433,s3301,s4808,s817,s4465,s776,s4634,s3988,s383,s4842,s1466,s4866,s4654]) ).
cnf(s4871,plain,
( spl0_35
| ~ spl0_71
| spl0_69
| spl0_187 ),
inference(rat,[],[s2587,s2600,s3845,s19,s799,s230,s4870,s4191,s2328,s4552,s2075,s3709,s2233,s3420,s1518,s683,s4462,s822,s564,s2065,s4157,s1789,s3537,s3880,s3698,s480,s158,s39,s4851,s4765,s3577,s383,s4772,s3540,s4866,s4842,s2544,s145,s36,s4867,s4654,s4653]) ).
cnf(s4872,plain,
( ~ spl0_71
| spl0_69
| spl0_187 ),
inference(rat,[],[s3400,s4202,s3809,s1548,s1631,s4750,s3880,s1089,s2438,s4462,s2712,s3287,s1951,s3966,s2587,s4810,s3845,s2212,s1515,s3291,s4346,s2027,s938,s597,s2244,s1533,s480,s981,s776,s4465,s4808,s4807,s1619,s1361,s2604,s2323,s3546,s230,s10,s3295,s2429,s745,s19,s2500,s4,s2065,s4852,s4730,s42,s115,s2191,s2507,s4871,s2518,s426,s4868,s12,s36,s4867,s2436,s145,s383,s4772,s1466,s4866,s2544,s4654]) ).
cnf(s4873,plain,
( spl0_35
| spl0_69
| spl0_187 ),
inference(rat,[],[s598,s4056,s713,s317,s289,s168,s85,s4191,s2328,s4552,s2075,s3709,s3420,s1518,s4462,s564,s63,s3832,s3537,s4780,s11,s3880,s3700,s480,s158,s39,s4851,s4765,s3577,s383,s4772,s3540,s4866,s4842,s2544,s4348,s36,s12,s4858,s4872,s4653]) ).
cnf(s4874,plain,
( spl0_69
| spl0_187 ),
inference(rat,[],[s3677,s233,s2328,s852,s85,s4181,s230,s2666,s19,s3832,s42,s115,s4873,s12,s36,s4858,s4348,s4872,s4866]) ).
cnf(s4875,plain,
( ~ spl0_71
| spl0_187 ),
inference(rat,[],[s2105,s3559,s2429,s2682,s2197,s168,s4220,s4,s966,s173,s234,s3707,s2436,s145,s3880,s1789,s3698,s4851,s3984,s39,s3577,s36,s146,s3654,s4842,s2150,s4874,s4772,s4653,s4654]) ).
cnf(s4876,plain,
spl0_187,
inference(rat,[],[s4465,s2082,s817,s3709,s2338,s1022,s4181,s4827,s3845,s799,s852,s822,s3902,s233,s2138,s4865,s234,s3832,s4348,s4875,s3700,s480,s158,s4851,s3984,s12,s36,s3854,s39,s146,s3577,s3654,s2150,s4874,s3540,s4866,s4842,s4772,s4653]) ).
cnf(s4877,plain,
~ spl0_181,
inference(rat,[],[s1021,s4876]) ).
cnf(s4878,plain,
( spl0_18
| spl0_219
| ~ spl0_14
| ~ spl0_71
| spl0_69 ),
inference(rat,[],[s3427,s4458,s4067,s2613,s4122,s4797,s145,s929,s3538,s2436,s681,s2542,s4876,s4654]) ).
cnf(s4879,plain,
( spl0_193
| ~ spl0_76
| ~ spl0_206
| spl0_115
| ~ spl0_199
| ~ spl0_52 ),
inference(rat,[],[s4729,s1608,s4327]) ).
cnf(s4880,plain,
( ~ spl0_14
| ~ spl0_110
| ~ spl0_71
| spl0_69 ),
inference(rat,[],[s3342,s2488,s683,s2467,s4855,s3845,s938,s3291,s3693,s4879,s2317,s4204,s3400,s2027,s3809,s2244,s1533,s3674,s3644,s4854,s230,s19,s2065,s3295,s4730,s42,s2191,s2507,s4,s1798,s3654,s3655,s4726,s146,s4878,s426,s1113,s4152,s390,s681,s3538,s4123,s2542,s2544,s2436,s63,s145,s4877,s4654,s4653]) ).
cnf(s4881,plain,
( ~ spl0_207
| ~ spl0_218
| spl0_221 ),
inference(rat,[],[s4462,s2438,s457,s477,s4876,s4653]) ).
cnf(s4882,plain,
( spl0_184
| spl0_35
| ~ spl0_199
| spl0_193
| ~ spl0_52 ),
inference(rat,[],[s588,s591,s4465,s4462,s363,s463,s4327,s434,s2686,s426,s416,s3654,s4876,s4653]) ).
cnf(s4883,plain,
( ~ spl0_575
| ~ spl0_184
| spl0_219
| spl0_302
| ~ spl0_218
| spl0_221
| ~ spl0_71 ),
inference(rat,[],[s3679,s1545,s3424,s3397]) ).
cnf(s4884,plain,
( spl0_35
| spl0_193
| ~ spl0_28
| ~ spl0_110
| ~ spl0_71
| spl0_69 ),
inference(rat,[],[s4464,s2080,s2638,s2420,s3282,s3280,s4251,s4883,s4462,s2438,s1608,s1064,s4882,s480,s3665,s4881,s1136,s3559,s4208,s2605,s1113,s3861,s2431,s3586,s4033,s4523,s426,s3645,s4085,s828,s416,s434,s3654,s2686,s63,s145,s455,s36,s4880,s390,s2868,s1614,s2436,s4876,s4653,s4654]) ).
cnf(s4885,plain,
( spl0_193
| ~ spl0_28
| ~ spl0_110
| ~ spl0_71
| spl0_69 ),
inference(rat,[],[s3644,s1533,s4575,s3445,s3546,s230,s2429,s3646,s19,s4,s4852,s42,s115,s2191,s4884,s36,s4880,s4654]) ).
cnf(s4886,plain,
( spl0_35
| ~ spl0_193
| ~ spl0_28
| ~ spl0_29
| ~ spl0_110
| ~ spl0_71
| ~ spl0_268 ),
inference(rat,[],[s2065,s3698,s3636,s3665,s4881,s4778,s426,s4085,s828,s416,s3654,s455,s4876,s4653]) ).
cnf(s4887,plain,
( ~ spl0_28
| ~ spl0_110
| ~ spl0_71
| spl0_69 ),
inference(rat,[],[s4464,s2638,s3906,s3302,s1951,s4847,s3423,s4846,s1288,s3683,s4465,s4191,s1973,s3644,s1533,s3645,s3445,s2323,s230,s3295,s2429,s3646,s19,s4,s2065,s4852,s42,s115,s2191,s2507,s4886,s4885,s2544,s63,s145,s36,s4880,s4877,s4654]) ).
cnf(s4888,plain,
( spl0_35
| ~ spl0_18
| spl0_221 ),
inference(rat,[],[s744,s11,s426,s439,s39,s416,s3577,s3654,s4876,s4653]) ).
cnf(s4889,plain,
( ~ spl0_110
| ~ spl0_71
| spl0_69 ),
inference(rat,[],[s4464,s2638,s3906,s3302,s1951,s4847,s3423,s4846,s1288,s3683,s4465,s1973,s4575,s4191,s3644,s1533,s3645,s3445,s2323,s3546,s230,s3295,s2429,s3646,s19,s4,s2065,s4852,s42,s115,s2191,s2507,s4888,s32,s4887,s455,s36,s4880,s2544,s63,s145,s4877,s4654]) ).
cnf(s4890,plain,
( spl0_35
| ~ spl0_14
| ~ spl0_71
| spl0_69 ),
inference(rat,[],[s4797,s828,s2568,s3654,s2686,s1466,s4889,s4653,s4876]) ).
cnf(s4891,plain,
( ~ spl0_206
| spl0_193
| ~ spl0_335
| ~ spl0_325
| spl0_324
| ~ spl0_199
| spl0_115
| ~ spl0_52 ),
inference(rat,[],[s2317,s4879]) ).
cnf(s4892,plain,
( spl0_193
| ~ spl0_335
| ~ spl0_576
| ~ spl0_325
| spl0_324
| spl0_221
| ~ spl0_199
| spl0_115
| spl0_53 ),
inference(rat,[],[s3539,s3282,s4463,s4462,s1267,s2438,s1608,s1064,s4182,s3677,s4891,s1127,s63,s426]) ).
cnf(s4893,plain,
( ~ spl0_14
| ~ spl0_71
| spl0_69 ),
inference(rat,[],[s1089,s4855,s2587,s938,s3845,s3693,s3291,s4892,s4204,s3880,s4251,s3400,s2112,s3424,s3809,s3679,s3674,s4150,s4854,s1798,s230,s3295,s2429,s4458,s19,s4,s2065,s4730,s42,s115,s2191,s2507,s4890,s426,s390,s2027,s3445,s681,s4123,s3535,s2542,s929,s2544,s145,s1466,s4889,s4654,s4877]) ).
cnf(s4894,plain,
( spl0_96
| spl0_62
| spl0_193
| spl0_198
| ~ spl0_29
| spl0_110
| ~ spl0_71 ),
inference(rat,[],[s3873,s322,s4721,s580,s1280,s2328,s2431,s4191,s2631,s4327,s145,s4876]) ).
cnf(s4895,plain,
( spl0_193
| spl0_35
| ~ spl0_71
| spl0_69 ),
inference(rat,[],[s2075,s3407,s4552,s19,s4879,s230,s4728,s2611,s4894,s773,s4882,s390,s2868,s2544,s63,s145,s1614,s2436,s2687,s36,s4893,s2568,s1466,s4889,s434,s2686,s426,s416,s158,s828,s3654,s4877,s4653,s4876,s4654]) ).
cnf(s4896,plain,
( spl0_221
| ~ spl0_24
| ~ spl0_55
| ~ spl0_184
| ~ spl0_193
| spl0_35
| ~ spl0_296
| ~ spl0_71
| ~ spl0_268 ),
inference(rat,[],[s3280,s4017,s4251,s4833,s4883,s1098,s4465,s2572,s3636,s2065,s4157,s3698,s3665,s4881,s2568,s2686,s828,s426,s416,s3654,s4876,s4653]) ).
cnf(s4897,plain,
( ~ spl0_185
| ~ spl0_221
| spl0_35 ),
inference(rat,[],[s454,s4465,s390,s787,s688,s2686,s3654,s4653,s4876]) ).
cnf(s4898,plain,
( ~ spl0_55
| spl0_35
| ~ spl0_71
| spl0_69 ),
inference(rat,[],[s454,s4465,s390,s584,s2233,s1884,s683,s1135,s822,s3537,s480,s4897,s4896,s4208,s2612,s230,s19,s3407,s2075,s4552,s2328,s2544,s2687,s32,s158,s4182,s4798,s4895,s828,s3654,s145,s2568,s2686,s1466,s4889,s4654,s4877,s4876,s4653]) ).
cnf(s4899,plain,
( spl0_35
| ~ spl0_71
| spl0_69 ),
inference(rat,[],[s2075,s2055,s3407,s597,s19,s4208,s230,s2605,s2611,s3861,s4191,s4898,s4182,s4798,s4895,s158,s32,s828,s2568,s3654,s2686,s2544,s145,s1466,s2687,s4889,s4653,s4876]) ).
cnf(s4900,plain,
( spl0_193
| spl0_106
| spl0_322
| spl0_85
| spl0_324
| spl0_31
| spl0_221
| ~ spl0_29
| ~ spl0_296
| ~ spl0_71 ),
inference(rat,[],[s4847,s426,s4704,s2438,s4462,s4846,s2712,s4465,s1608,s3287,s1951,s4808,s2197,s3422,s4575,s2868,s1127,s63,s145,s1614,s2436,s4877,s4654]) ).
cnf(s4901,plain,
( ~ spl0_71
| spl0_69 ),
inference(rat,[],[s3400,s4202,s3809,s1548,s1631,s4750,s3880,s1089,s2438,s4462,s2712,s3287,s1951,s3966,s4810,s1132,s2587,s3845,s2212,s1515,s3291,s4346,s2027,s597,s2244,s1533,s981,s4465,s4808,s2197,s4807,s426,s4806,s4900,s3546,s2323,s230,s3295,s2429,s19,s4,s2065,s4852,s4730,s42,s115,s2191,s2507,s4899,s36,s4893,s2687,s1466,s4889,s2436,s145,s2544,s4877,s4876,s4654]) ).
cnf(s4902,plain,
( spl0_53
| spl0_104
| ~ spl0_55
| spl0_193
| spl0_35
| ~ spl0_295
| spl0_71 ),
inference(rat,[],[s959,s1964,s4207,s4465,s4462,s404,s363,s463,s1063,s1219,s3845,s4220,s810,s251,s3318,s3586,s63,s434,s2686,s426,s416,s3654,s4327,s4876,s4653]) ).
cnf(s4903,plain,
( ~ spl0_53
| spl0_18
| ~ spl0_21
| spl0_19
| spl0_69 ),
inference(rat,[],[s883,s237,s4,s39,s722,s3427,s19,s230,s277,s3874,s4348,s4901,s4653]) ).
cnf(s4904,plain,
( spl0_96
| spl0_53
| ~ spl0_14
| spl0_193
| spl0_35
| ~ spl0_295
| spl0_71 ),
inference(rat,[],[s4902,s3538,s4191]) ).
cnf(s4905,plain,
( ~ spl0_14
| spl0_193
| spl0_35
| ~ spl0_110
| spl0_69 ),
inference(rat,[],[s172,s230,s3708,s19,s922,s722,s4181,s3832,s1063,s2613,s1113,s4904,s4903,s146,s2542,s929,s4901,s1210,s426,s416,s3654,s4876,s4654,s4653]) ).
cnf(s4906,plain,
( spl0_96
| ~ spl0_31
| spl0_193
| spl0_35
| ~ spl0_295
| spl0_71 ),
inference(rat,[],[s1614,s4033,s4902,s3551,s4191,s3952,s1418,s433,s4348]) ).
cnf(s4907,plain,
( ~ spl0_173
| spl0_364
| ~ spl0_107
| ~ spl0_52
| spl0_302
| spl0_221
| ~ spl0_183
| spl0_35
| spl0_69 ),
inference(rat,[],[s3280,s4251,s3355,s3424,s1258,s3679,s3694,s2378,s3197,s426,s416,s3654,s4876,s4653]) ).
cnf(s4908,plain,
( spl0_193
| spl0_35
| ~ spl0_110
| spl0_69 ),
inference(rat,[],[s1379,s4204,s1972,s1953,s1316,s4463,s4054,s2383,s1311,s3421,s3424,s4251,s3280,s2420,s2080,s1954,s4464,s4907,s3227,s1089,s1136,s3691,s2233,s2438,s3427,s390,s4465,s4462,s19,s4882,s363,s463,s230,s1063,s2201,s1113,s4906,s63,s480,s39,s3952,s3665,s32,s3880,s4523,s433,s4881,s4888,s2053,s3646,s3645,s455,s36,s4905,s1127,s4327,s4901,s1210,s1405,s426,s416,s3654,s434,s2686,s4876,s4654,s4653]) ).
cnf(s4909,plain,
( spl0_96
| ~ spl0_14
| ~ spl0_193
| spl0_35
| spl0_69 ),
inference(rat,[],[s4778,s4140,s3636,s19,s477,s2065,s4157,s4207,s722,s4779,s3698,s404,s3832,s613,s1063,s3693,s1415,s1219,s4776,s4220,s251,s3318,s3586,s3538,s4191,s2544,s4348,s4901,s1405,s426,s416,s434,s2686,s4903,s2542,s146,s3654,s929,s4876,s4654,s4653]) ).
cnf(s4910,plain,
( ~ spl0_14
| spl0_35
| ~ spl0_110
| spl0_69 ),
inference(rat,[],[s172,s230,s3708,s19,s922,s722,s4181,s3832,s1063,s2613,s1113,s4909,s146,s2542,s4901,s426,s416,s3654,s4908,s4876,s4654,s4653]) ).
cnf(s4911,plain,
( spl0_35
| ~ spl0_110
| spl0_69 ),
inference(rat,[],[s251,s4077,s173,s3559,s3314,s3708,s1136,s3698,s3537,s2065,s480,s3636,s1418,s1350,s3665,s32,s3880,s4778,s433,s4881,s4888,s2053,s3646,s3645,s455,s36,s4910,s4908,s1405,s426,s416,s434,s3654,s2686,s2544,s4348,s4901,s4653,s4876]) ).
cnf(s4912,plain,
( spl0_96
| ~ spl0_14
| ~ spl0_183
| spl0_53
| spl0_322
| spl0_106
| spl0_302
| spl0_324
| ~ spl0_110 ),
inference(rat,[],[s4245,s3683,s363,s4463,s4465,s1949,s1964,s4359,s3845,s3925,s810,s251,s3318,s4005,s1280,s3586,s3538,s4191,s1210,s63,s2631,s2542,s4877,s4654]) ).
cnf(s4913,plain,
( ~ spl0_115
| spl0_180
| spl0_81
| ~ spl0_96
| ~ spl0_14
| spl0_193
| spl0_53
| spl0_302
| spl0_324
| spl0_111
| ~ spl0_110 ),
inference(rat,[],[s3412,s4359,s4202,s3335,s2307,s3809,s2659,s4463,s4689,s1955,s4016,s1950,s3318,s4462,s1639,s4207,s463,s4181,s1107,s4616,s3445,s63,s1127,s2631,s4327,s2542,s4654]) ).
cnf(s4914,plain,
( ~ spl0_14
| spl0_193
| spl0_53
| spl0_322
| spl0_106
| spl0_85
| spl0_302
| spl0_324
| spl0_62
| spl0_111
| spl0_221
| ~ spl0_110
| ~ spl0_60 ),
inference(rat,[],[s4462,s463,s2438,s1064,s4879,s426,s4913,s1089,s237,s4208,s390,s3559,s876,s2587,s810,s3845,s1964,s4465,s2636,s2244,s3644,s4912,s2542,s929,s1210,s63,s4327,s4877,s4654]) ).
cnf(s4915,plain,
( spl0_193
| spl0_53
| spl0_322
| spl0_106
| spl0_85
| spl0_302
| spl0_324
| spl0_31
| spl0_62
| spl0_111
| spl0_221
| ~ spl0_110
| spl0_71 ),
inference(rat,[],[s4465,s3683,s1964,s1288,s3845,s3423,s810,s1280,s3586,s85,s3645,s36,s4914,s2631,s4327,s4348,s1210,s4877]) ).
cnf(s4916,plain,
( ~ spl0_326
| ~ spl0_182
| ~ spl0_113
| spl0_322
| ~ spl0_295 ),
inference(rat,[],[s4463,s4247,s1949]) ).
cnf(s4917,plain,
( ~ spl0_14
| ~ spl0_185
| ~ spl0_193
| spl0_53
| spl0_322
| spl0_106
| spl0_85
| spl0_324
| ~ spl0_24
| spl0_192
| spl0_221
| ~ spl0_110
| spl0_71 ),
inference(rat,[],[s3334,s597,s744,s3644,s11,s3538,s246,s3318,s3925,s2253,s4916,s3683,s426,s4465,s4133,s1964,s251,s3845,s3559,s876,s4479,s2488,s2542,s929,s1210,s2233,s390,s1736,s4877,s4654]) ).
cnf(s4918,plain,
( ~ spl0_171
| ~ spl0_55
| ~ spl0_198
| ~ spl0_29
| ~ spl0_155
| spl0_31 ),
inference(rat,[],[s1280,s361,s3423,s1288,s3683,s4877]) ).
cnf(s4919,plain,
( spl0_318
| ~ spl0_37
| spl0_317 ),
inference(rat,[],[s3352,s3410,s2369]) ).
cnf(s4920,plain,
( ~ spl0_110
| spl0_69 ),
inference(rat,[],[s4410,s2307,s3412,s2427,s1955,s4919,s4359,s47,s3547,s4355,s4088,s3334,s2637,s3845,s597,s2244,s1964,s981,s4465,s4918,s2027,s852,s85,s2227,s3645,s12,s36,s4917,s3693,s4915,s142,s154,s232,s317,s2323,s2087,s3546,s230,s1798,s3295,s2429,s883,s245,s19,s3832,s4,s2065,s4852,s2176,s4730,s42,s115,s2191,s2507,s2508,s4911,s1210,s2544,s4348,s4901,s4877]) ).
cnf(s4921,plain,
( spl0_96
| spl0_53
| ~ spl0_14
| ~ spl0_340
| spl0_69 ),
inference(rat,[],[s1415,s4220,s2244,s3318,s2328,s3538,s4191,s4348,s4901,s4920,s4877]) ).
cnf(s4922,plain,
( ~ spl0_73
| spl0_35
| ~ spl0_60 ),
inference(rat,[],[s3873,s1415,s173,s613,s3708,s1405,s426,s416,s3654,s434,s2686,s4653,s4876]) ).
cnf(s4923,plain,
( ~ spl0_14
| spl0_35
| spl0_69 ),
inference(rat,[],[s19,s4694,s230,s2596,s2611,s2613,s4921,s4903,s2542,s929,s32,s3540,s4920,s1405,s426,s416,s3654,s434,s2686,s158,s4922,s4348,s4901,s4654,s4653,s4876]) ).
cnf(s4925,plain,
( spl0_55
| spl0_35
| spl0_69 ),
inference(rat,[],[s598,s4208,s317,s2605,s168,s3861,s4191,s2687,s434,s32,s3540,s2686,s4920,s4922,s4348,s4901,s36,s4923,s4876,s4653]) ).
cnf(s4926,plain,
( spl0_35
| spl0_69 ),
inference(rat,[],[s439,s3427,s744,s19,s11,s230,s3314,s852,s4903,s233,s3677,s4225,s1874,s317,s456,s580,s2244,s2328,s571,s4925,s12,s4923,s426,s416,s3540,s434,s3654,s2686,s4348,s4901,s4920,s4876,s4877,s4653]) ).
cnf(s4927,plain,
( spl0_76
| ~ spl0_172
| ~ spl0_11
| spl0_193
| ~ spl0_318
| ~ spl0_218
| spl0_198
| spl0_19
| ~ spl0_52
| ~ spl0_35 ),
inference(rat,[],[s1271,s3674,s3744,s2378,s3197,s4464,s2074,s3845,s2587,s390,s1089,s1706,s2438,s591,s4462,s463,s1064,s4730,s3295,s4,s115,s2507,s3546,s19,s42,s2191,s4327,s4654]) ).
cnf(s4928,plain,
( ~ spl0_14
| spl0_53
| spl0_69 ),
inference(rat,[],[s3847,s1046,s4879,s3318,s4927,s4465,s2636,s4327,s237,s4479,s4208,s4150,s598,s580,s426,s2027,s3445,s3535,s2542,s929,s1466,s2687,s4920,s4730,s2065,s2191,s2544,s1798,s3832,s317,s883,s4,s115,s4926,s4348,s4901,s63,s4876,s4877,s4654]) ).
cnf(s4929,plain,
( spl0_53
| spl0_69 ),
inference(rat,[],[s3467,s3791,s4194,s4202,s3455,s3724,s3463,s1974,s1401,s4635,s3845,s3422,s810,s796,s4327,s981,s4465,s4918,s4552,s598,s597,s3288,s3586,s2328,s852,s85,s12,s36,s4928,s63,s1466,s2687,s4920,s2065,s2544,s2429,s1798,s3832,s230,s3546,s19,s42,s2191,s317,s883,s4,s115,s4926,s4348,s4901,s4877,s4876]) ).
cnf(s4930,plain,
spl0_69,
inference(rat,[],[s4479,s4734,s2542,s146,s275,s2612,s3874,s143,s233,s4929,s230,s19,s2065,s42,s2191,s4926,s4348,s4901,s2544,s4654]) ).
cnf(s4931,plain,
~ spl0_35,
inference(rat,[],[s2150,s4930]) ).
cnf(s4934,plain,
spl0_205,
inference(rat,[],[s2686,s4876,s4931]) ).
cnf(s4935,plain,
spl0_39,
inference(rat,[],[s3654,s4653,s4931]) ).
cnf(s4936,plain,
~ spl0_198,
inference(rat,[],[s434,s4653,s4934]) ).
cnf(s4937,plain,
~ spl0_115,
inference(rat,[],[s416,s4876,s4935]) ).
cnf(s4938,plain,
spl0_346,
inference(rat,[],[s1515,s4936]) ).
cnf(s4939,plain,
spl0_218,
inference(rat,[],[s426,s4937]) ).
cnf(s4940,plain,
spl0_340,
inference(rat,[],[s1405,s4936,s4939]) ).
cnf(s4941,plain,
~ spl0_97,
inference(rat,[],[s2592,s4,s2635,s234,s580,s2436,s322,s1063,s1064,s773,s1219,s4182,s4220,s922,s173,s4930,s4876,s4936,s4654,s4939,s4653]) ).
cnf(s4942,plain,
~ spl0_73,
inference(rat,[],[s3708,s4931,s4941]) ).
cnf(s4943,plain,
spl0_53,
inference(rat,[],[s3707,s4930,s4941]) ).
cnf(s4949,plain,
spl0_58,
inference(rat,[],[s158,s4942]) ).
cnf(s4950,plain,
~ spl0_236,
inference(rat,[],[s2138,s4943]) ).
cnf(s4953,plain,
~ spl0_40,
inference(rat,[],[s142,s4943]) ).
cnf(s4954,plain,
spl0_65,
inference(rat,[],[s3874,s4943]) ).
cnf(s4955,plain,
spl0_60,
inference(rat,[],[s89,s4943]) ).
cnf(s4959,plain,
spl0_63,
inference(rat,[],[s68,s4955,s4943]) ).
cnf(s4960,plain,
spl0_330,
inference(rat,[],[s4402,s4950]) ).
cnf(s4961,plain,
~ spl0_200,
inference(rat,[],[s1228,s4955,s4950]) ).
cnf(s4962,plain,
~ spl0_106,
inference(rat,[],[s961,s4954,s4950]) ).
cnf(s4963,plain,
~ spl0_249,
inference(rat,[],[s822,s4949,s4950]) ).
cnf(s4965,plain,
~ spl0_51,
inference(rat,[],[s154,s4953]) ).
cnf(s4967,plain,
~ spl0_31,
inference(rat,[],[s235,s4955,s4954]) ).
cnf(s4970,plain,
~ spl0_33,
inference(rat,[],[s232,s4965]) ).
cnf(s4971,plain,
~ spl0_110,
inference(rat,[],[s817,s1565,s3334,s4463,s3412,s4247,s4359,s4202,s3335,s1379,s3421,s2439,s4251,s2068,s1807,s3280,s3724,s2420,s2310,s2393,s1955,s4016,s2712,s4465,s1127,s4462,s588,s875,s2535,s390,s2233,s2488,s3346,s4673,s2092,s4181,s317,s456,s4397,s4706,s580,s2244,s2635,s4494,s3625,s3902,s2612,s32,s288,s146,s2542,s929,s36,s3645,s1210,s4934,s4939,s4960,s4954,s4876,s4930,s4970,s4654,s4961,s4936,s4962,s4877,s4935,s4950,s4955,s4943,s4942,s4967]) ).
cnf(s4972,plain,
spl0_296,
inference(rat,[],[s1466,s4971]) ).
cnf(s4973,plain,
spl0_204,
inference(rat,[],[s2687,s4876,s4971]) ).
cnf(s4974,plain,
~ spl0_18,
inference(rat,[],[s3540,s4934,s4971]) ).
cnf(s4978,plain,
~ spl0_119,
inference(rat,[],[s288,s4974]) ).
cnf(s4980,plain,
spl0_28,
inference(rat,[],[s32,s4974]) ).
cnf(s4984,plain,
spl0_85,
inference(rat,[],[s2612,s4942,s4954,s4974]) ).
cnf(s4986,plain,
spl0_116,
inference(rat,[],[s3902,s4943,s4978]) ).
cnf(s4989,plain,
~ spl0_302,
inference(rat,[],[s4494,s4984]) ).
cnf(s4990,plain,
( spl0_193
| ~ spl0_14 ),
inference(rat,[],[s4462,s2535,s2712,s2233,s3287,s2488,s3346,s4673,s2092,s4181,s456,s4397,s4706,s2244,s4679,s1127,s4327,s929,s4220,s1465,s298,s1374,s4939,s4654,s4972,s4962,s4974,s4989,s4877,s4961,s4970,s4980,s4936,s4935,s4950,s4955,s4986,s4954,s4930,s4963,s4959]) ).
cnf(s4991,plain,
~ spl0_14,
inference(rat,[],[s1706,s390,s4465,s876,s817,s3845,s799,s4990,s2542,s4936,s4961,s4973,s4984,s4654]) ).
cnf(s4993,plain,
spl0_29,
inference(rat,[],[s36,s4991]) ).
cnf(s4999,plain,
spl0_76,
inference(rat,[],[s2244,s2328,s1415,s84,s4220,s4877,s4971,s4955,s4940,s4993,s4967]) ).
cnf(s5000,plain,
spl0_193,
inference(rat,[],[s1953,s4463,s4202,s2383,s1379,s2427,s1972,s1954,s2068,s1807,s4464,s3724,s2378,s2310,s3679,s2393,s2387,s4704,s4465,s4462,s3683,s2712,s3287,s1951,s3346,s3665,s4675,s4881,s2092,s456,s4397,s2244,s4679,s4810,s1127,s4327,s4934,s4993,s4960,s4954,s4989,s4930,s4970,s4980,s4967,s4972,s4877,s4962,s4974,s4931,s4939,s4950,s4955,s4999,s4961,s4963,s4938]) ).
cnf(s5004,plain,
~ spl0_114,
inference(rat,[],[s799,s4984,s5000]) ).
cnf(s5005,plain,
spl0_108,
inference(rat,[],[s3845,s5004]) ).
cnf(s5006,plain,
~ spl0_208,
inference(rat,[],[s1132,s5005]) ).
cnf(s5007,plain,
~ spl0_171,
inference(rat,[],[s817,s4973,s5005]) ).
cnf(s5009,plain,
spl0_172,
inference(rat,[],[s4465,s5007]) ).
cnf(s5013,plain,
~ spl0_199,
inference(rat,[],[s1706,s4961,s4936,s5009]) ).
cnf(s5014,plain,
~ spl0_219,
inference(rat,[],[s1098,s5000,s5009]) ).
cnf(s5016,plain,
spl0_107,
inference(rat,[],[s390,s5013]) ).
cnf(s5021,plain,
~ spl0_185,
inference(rat,[],[s688,s4935,s5016]) ).
cnf(s5028,plain,
spl0_195,
inference(rat,[],[s480,s5021]) ).
cnf(s5029,plain,
~ spl0_113,
inference(rat,[],[s3346,s4974,s4962,s5021]) ).
cnf(s5035,plain,
spl0_384,
inference(rat,[],[s2082,s4963,s5009,s5028]) ).
cnf(s5037,plain,
~ spl0_182,
inference(rat,[],[s3287,s4972,s5029]) ).
cnf(s5045,plain,
~ spl0_206,
inference(rat,[],[s2635,s4930,s5035]) ).
cnf(s5049,plain,
~ spl0_178,
inference(rat,[],[s2712,s5006,s5037]) ).
cnf(s5058,plain,
~ spl0_194,
inference(rat,[],[s2244,s4877,s5045]) ).
cnf(s5067,plain,
spl0_177,
inference(rat,[],[s4462,s5049]) ).
cnf(s5075,plain,
spl0_347,
inference(rat,[],[s4397,s5058]) ).
cnf(s5084,plain,
$false,
inference(rat,[],[s1952,s5014,s4950,s5075,s5067]) ).
thf(f31149,plain,
$false,
inference(avatar_sat_refutation,[],[s5084]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA140^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 % Computer : n003.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Tue Sep 29 19:05:30 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running higher-order theorem proving
% 0.11/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.74/0.36 % (2921542)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.74/0.36 % (2921548)lrs+10_16_si=on:nwc=1.5:random_seed=3037441853:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.74/0.36 % (2921553)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.74/0.36 % (2921553)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
% 0.74/0.36 % (2921548)Instruction limit reached!
% 0.74/0.36 % (2921548)------------------------------
% 0.74/0.36 % (2921548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.36 % (2921548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.36 % (2921548)CaDiCaL version: 2.1.3
% 0.74/0.36 % (2921548)Termination reason: Instruction limit
% 0.74/0.36 % (2921548)Termination phase: Saturation
% 0.74/0.36 % (2921548)Time elapsed: 0.005 s
% 0.74/0.36 % (2921548)Peak memory usage: 12 MB
% 0.74/0.36 % (2921548)Instructions burned: 19 (million)
% 0.74/0.36 % (2921547)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2093204272:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.74/0.36 % (2921549)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4196831136:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.74/0.36 % (2921553)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=3992183155:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.74/0.36 % (2921551)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=193991575:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.74/0.36 % (2921550)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=2877899787: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)
% 0.74/0.36 % (2921552)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2009938197:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.74/0.36 % (2921549)Instruction limit reached!
% 0.74/0.36 % (2921549)------------------------------
% 0.74/0.36 % (2921549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.36 % (2921549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.36 % (2921549)CaDiCaL version: 2.1.3
% 0.74/0.36 % (2921549)Termination reason: Instruction limit
% 0.74/0.36 % (2921549)Termination phase: Saturation
% 0.74/0.36 % (2921549)Time elapsed: 0.003 s
% 0.74/0.36 % (2921549)Peak memory usage: 12 MB
% 0.74/0.36 % (2921549)Instructions burned: 4 (million)
% 0.74/0.36 % (2921555)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3298305291:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.74/0.36 % (2921555)Instruction limit reached!
% 0.74/0.36 % (2921555)------------------------------
% 0.74/0.36 % (2921555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.36 % (2921555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.36 % (2921555)CaDiCaL version: 2.1.3
% 0.74/0.36 % (2921555)Termination reason: Instruction limit
% 0.74/0.36 % (2921555)Termination phase: Saturation
% 0.74/0.36 % (2921555)Time elapsed: 0.001 s
% 0.74/0.36 % (2921555)Peak memory usage: 12 MB
% 0.74/0.36 % (2921555)Instructions burned: 2 (million)
% 0.74/0.36 % (2921551)Instruction limit reached!
% 0.74/0.36 % (2921551)------------------------------
% 0.74/0.36 % (2921551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.36 % (2921551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.36 % (2921551)CaDiCaL version: 2.1.3
% 0.74/0.36 % (2921551)Termination reason: Instruction limit
% 0.74/0.36 % (2921551)Termination phase: Saturation
% 0.74/0.36 % (2921551)Time elapsed: 0.011 s
% 0.74/0.36 % (2921551)Peak memory usage: 11 MB
% 0.74/0.36 % (2921551)Instructions burned: 24 (million)
% 0.74/0.36 % (2921564)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.74/0.38 % (2921564)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2714438092:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.74/0.38 % (2921562)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2715168717:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.74/0.38 % (2921564)Instruction limit reached!
% 0.74/0.38 % (2921564)------------------------------
% 0.74/0.38 % (2921564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.38 % (2921564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.38 % (2921564)CaDiCaL version: 2.1.3
% 0.74/0.38 % (2921564)Termination reason: Instruction limit
% 0.74/0.38 % (2921564)Termination phase: Saturation
% 0.74/0.38 % (2921564)Time elapsed: 0.003 s
% 0.74/0.38 % (2921564)Peak memory usage: 12 MB
% 0.74/0.38 % (2921564)Instructions burned: 10 (million)
% 0.74/0.38 % (2921562)Instruction limit reached!
% 0.74/0.38 % (2921562)------------------------------
% 0.74/0.38 % (2921562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.38 % (2921562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.38 % (2921562)CaDiCaL version: 2.1.3
% 0.74/0.38 % (2921562)Termination reason: Instruction limit
% 0.74/0.38 % (2921562)Termination phase: Saturation
% 0.74/0.38 % (2921562)Time elapsed: 0.004 s
% 0.74/0.38 % (2921562)Peak memory usage: 11 MB
% 0.74/0.38 % (2921562)Instructions burned: 6 (million)
% 0.74/0.38 % (2921565)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1397988715:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.74/0.38 % (2921547)Instruction limit reached!
% 0.74/0.38 % (2921547)------------------------------
% 0.74/0.38 % (2921547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.38 % (2921547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.38 % (2921547)CaDiCaL version: 2.1.3
% 0.74/0.38 % (2921547)Termination reason: Instruction limit
% 0.74/0.38 % (2921547)Termination phase: Saturation
% 0.74/0.38 % (2921547)Time elapsed: 0.036 s
% 0.74/0.38 % (2921547)Peak memory usage: 12 MB
% 0.74/0.38 % (2921547)Instructions burned: 88 (million)
% 0.74/0.38 % (2921552)Instruction limit reached!
% 0.74/0.38 % (2921552)------------------------------
% 0.74/0.38 % (2921552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.38 % (2921552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.38 % (2921552)CaDiCaL version: 2.1.3
% 0.74/0.38 % (2921552)Termination reason: Instruction limit
% 0.74/0.38 % (2921552)Termination phase: Saturation
% 0.74/0.38 % (2921552)Time elapsed: 0.036 s
% 0.74/0.38 % (2921552)Peak memory usage: 12 MB
% 0.74/0.38 % (2921552)Instructions burned: 75 (million)
% 0.74/0.38 % (2921568)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
% 0.74/0.38 % (2921568)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.74/0.38 % (2921565)Instruction limit reached!
% 0.74/0.38 % (2921565)------------------------------
% 0.74/0.38 % (2921565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.38 % (2921565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.38 % (2921565)CaDiCaL version: 2.1.3
% 0.74/0.38 % (2921565)Termination reason: Instruction limit
% 0.74/0.38 % (2921565)Termination phase: Saturation
% 0.74/0.38 % (2921565)Time elapsed: 0.008 s
% 0.74/0.38 % (2921565)Peak memory usage: 12 MB
% 0.74/0.38 % (2921565)Instructions burned: 14 (million)
% 0.74/0.38 % (2921568)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3869477008:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.74/0.38 % (2921569)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=1314815404:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.74/0.38 % (2921572)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.74/0.40 % (2921571)lrs+10_1_si=on:cs=on:random_seed=313704504:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.74/0.40 % (2921572)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=2564852941:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.74/0.40 % (2921568)Instruction limit reached!
% 0.74/0.40 % (2921568)------------------------------
% 0.74/0.40 % (2921568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (2921568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (2921568)CaDiCaL version: 2.1.3
% 0.74/0.40 % (2921568)Termination reason: Instruction limit
% 0.74/0.40 % (2921568)Termination phase: Saturation
% 0.74/0.40 % (2921568)Time elapsed: 0.015 s
% 0.74/0.40 % (2921568)Peak memory usage: 12 MB
% 0.74/0.40 % (2921568)Instructions burned: 30 (million)
% 0.74/0.40 % (2921572)Instruction limit reached!
% 0.74/0.40 % (2921572)------------------------------
% 0.74/0.40 % (2921572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (2921572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (2921572)CaDiCaL version: 2.1.3
% 0.74/0.40 % (2921572)Termination reason: Instruction limit
% 0.74/0.40 % (2921572)Termination phase: Saturation
% 0.74/0.40 % (2921572)Time elapsed: 0.002 s
% 0.74/0.40 % (2921572)Peak memory usage: 11 MB
% 0.74/0.40 % (2921572)Instructions burned: 3 (million)
% 0.74/0.40 % (2921573)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2454285514:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.74/0.40 % (2921573)Refutation not found, incomplete strategy
% 0.74/0.40 % (2921573)------------------------------
% 0.74/0.40 % (2921573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (2921573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (2921573)CaDiCaL version: 2.1.3
% 0.74/0.40 % (2921573)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.40 % (2921573)Time elapsed: 0.001 s
% 0.74/0.40 % (2921573)Peak memory usage: 12 MB
% 0.74/0.40 % (2921571)Instruction limit reached!
% 0.74/0.40 % (2921571)------------------------------
% 0.74/0.40 % (2921571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (2921571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (2921571)CaDiCaL version: 2.1.3
% 0.74/0.40 % (2921571)Termination reason: Instruction limit
% 0.74/0.40 % (2921571)Termination phase: Saturation
% 0.74/0.40 % (2921571)Time elapsed: 0.005 s
% 0.74/0.40 % (2921571)Peak memory usage: 12 MB
% 0.74/0.40 % (2921571)Instructions burned: 8 (million)
% 0.74/0.40 % (2921573)------------------------------
% 0.74/0.40 % (2921573)------------------------------
% 0.74/0.40 % (2921553)Instruction limit reached!
% 0.74/0.40 % (2921553)------------------------------
% 0.74/0.40 % (2921553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (2921553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (2921553)CaDiCaL version: 2.1.3
% 0.74/0.40 % (2921553)Termination reason: Instruction limit
% 0.74/0.40 % (2921553)Termination phase: Saturation
% 0.74/0.40 % (2921553)Time elapsed: 0.061 s
% 0.74/0.40 % (2921553)Peak memory usage: 12 MB
% 0.74/0.40 % (2921553)Instructions burned: 157 (million)
% 0.74/0.40 % (2921569)Instruction limit reached!
% 0.74/0.40 % (2921569)------------------------------
% 0.74/0.40 % (2921569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.40 % (2921569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.40 % (2921569)CaDiCaL version: 2.1.3
% 0.74/0.40 % (2921569)Termination reason: Instruction limit
% 0.74/0.40 % (2921569)Termination phase: Saturation
% 0.74/0.40 % (2921569)Time elapsed: 0.022 s
% 0.74/0.40 % (2921569)Peak memory usage: 12 MB
% 0.74/0.40 % (2921569)Instructions burned: 87 (million)
% 0.74/0.40 % (2921584)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=374265769:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.74/0.40 % (2921578)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2180261365:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.74/0.40 % (2921584)Refutation not found, incomplete strategy
% 0.74/0.43 % (2921584)------------------------------
% 0.74/0.43 % (2921584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (2921584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (2921584)CaDiCaL version: 2.1.3
% 0.74/0.43 % (2921584)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.43 % (2921584)Time elapsed: 0.0000 s
% 0.74/0.43 % (2921584)Peak memory usage: 11 MB
% 0.74/0.43 % (2921578)Refutation not found, incomplete strategy
% 0.74/0.43 % (2921578)------------------------------
% 0.74/0.43 % (2921578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (2921584)------------------------------
% 0.74/0.43 % (2921584)------------------------------
% 0.74/0.43 % (2921578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (2921578)CaDiCaL version: 2.1.3
% 0.74/0.43 % (2921578)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.43 % (2921578)Time elapsed: 0.0000 s
% 0.74/0.43 % (2921578)Peak memory usage: 12 MB
% 0.74/0.43 % (2921580)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1300125296:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.74/0.43 % (2921578)------------------------------
% 0.74/0.43 % (2921578)------------------------------
% 0.74/0.43 % (2921580)Refutation not found, incomplete strategy
% 0.74/0.43 % (2921580)------------------------------
% 0.74/0.43 % (2921580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (2921580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (2921580)CaDiCaL version: 2.1.3
% 0.74/0.43 % (2921580)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.43 % (2921580)Time elapsed: 0.0000 s
% 0.74/0.43 % (2921580)Peak memory usage: 12 MB
% 0.74/0.43 % (2921580)------------------------------
% 0.74/0.43 % (2921580)------------------------------
% 0.74/0.43 % (2921581)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2108019950:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.74/0.43 % (2921583)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=845228280:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.74/0.43 % (2921582)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4154789582:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.74/0.43 % (2921582)Refutation not found, incomplete strategy
% 0.74/0.43 % (2921582)------------------------------
% 0.74/0.43 % (2921582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (2921582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (2921582)CaDiCaL version: 2.1.3
% 0.74/0.43 % (2921582)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.43 % (2921582)Time elapsed: 0.001 s
% 0.74/0.43 % (2921582)Peak memory usage: 11 MB
% 0.74/0.43 % (2921582)------------------------------
% 0.74/0.43 % (2921582)------------------------------
% 0.74/0.43 % (2921587)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3429124172:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.74/0.43 % (2921583)Instruction limit reached!
% 0.74/0.43 % (2921583)------------------------------
% 0.74/0.43 % (2921583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (2921583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (2921583)CaDiCaL version: 2.1.3
% 0.74/0.43 % (2921583)Termination reason: Instruction limit
% 0.74/0.43 % (2921583)Termination phase: Saturation
% 0.74/0.43 % (2921583)Time elapsed: 0.007 s
% 0.74/0.43 % (2921583)Peak memory usage: 12 MB
% 0.74/0.43 % (2921583)Instructions burned: 14 (million)
% 0.74/0.43 % (2921581)Instruction limit reached!
% 0.74/0.43 % (2921581)------------------------------
% 0.74/0.43 % (2921581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.43 % (2921581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.43 % (2921581)CaDiCaL version: 2.1.3
% 0.74/0.43 % (2921581)Termination reason: Instruction limit
% 0.74/0.43 % (2921581)Termination phase: Saturation
% 0.74/0.43 % (2921581)Time elapsed: 0.009 s
% 0.74/0.43 % (2921581)Peak memory usage: 12 MB
% 0.74/0.43 % (2921581)Instructions burned: 16 (million)
% 0.74/0.46 % (2921587)Instruction limit reached!
% 0.74/0.46 % (2921587)------------------------------
% 0.74/0.46 % (2921587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.46 % (2921587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.46 % (2921587)CaDiCaL version: 2.1.3
% 0.74/0.46 % (2921587)Termination reason: Instruction limit
% 0.74/0.46 % (2921587)Termination phase: Saturation
% 0.74/0.46 % (2921587)Time elapsed: 0.007 s
% 0.74/0.46 % (2921587)Peak memory usage: 12 MB
% 0.74/0.46 % (2921587)Instructions burned: 29 (million)
% 0.74/0.46 % (2921589)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3667912356:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.74/0.46 % (2921594)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
% 0.74/0.46 % (2921594)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.74/0.46 % (2921591)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2400754011:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.74/0.46 % (2921594)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=3619570121:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.74/0.46 % (2921596)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.74/0.46 % (2921598)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4050300474:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.74/0.46 % (2921596)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=1573878156:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.74/0.46 % (2921589)Instruction limit reached!
% 0.74/0.46 % (2921589)------------------------------
% 0.74/0.46 % (2921589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.46 % (2921589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.46 % (2921589)CaDiCaL version: 2.1.3
% 0.74/0.46 % (2921589)Termination reason: Instruction limit
% 0.74/0.46 % (2921589)Termination phase: Saturation
% 0.74/0.46 % (2921589)Time elapsed: 0.011 s
% 0.74/0.46 % (2921589)Peak memory usage: 11 MB
% 0.74/0.46 % (2921589)Instructions burned: 25 (million)
% 0.74/0.46 % (2921597)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=3134919253:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.74/0.46 % (2921598)Instruction limit reached!
% 0.74/0.46 % (2921598)------------------------------
% 0.74/0.46 % (2921598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.46 % (2921598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.46 % (2921598)CaDiCaL version: 2.1.3
% 0.74/0.46 % (2921598)Termination reason: Instruction limit
% 0.74/0.46 % (2921598)Termination phase: Saturation
% 0.74/0.46 % (2921598)Time elapsed: 0.003 s
% 0.74/0.46 % (2921598)Peak memory usage: 12 MB
% 0.74/0.46 % (2921598)Instructions burned: 10 (million)
% 0.74/0.46 % (2921594)Instruction limit reached!
% 0.74/0.46 % (2921594)------------------------------
% 0.74/0.46 % (2921594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.46 % (2921594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.46 % (2921594)CaDiCaL version: 2.1.3
% 0.74/0.46 % (2921594)Termination reason: Instruction limit
% 0.74/0.46 % (2921594)Termination phase: Saturation
% 0.74/0.46 % (2921594)Time elapsed: 0.009 s
% 0.74/0.46 % (2921594)Peak memory usage: 12 MB
% 0.74/0.46 % (2921594)Instructions burned: 15 (million)
% 0.74/0.46 % (2921596)Instruction limit reached!
% 0.74/0.46 % (2921596)------------------------------
% 0.74/0.46 % (2921596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.46 % (2921596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.46 % (2921596)CaDiCaL version: 2.1.3
% 1.45/0.49 % (2921596)Termination reason: Instruction limit
% 1.45/0.49 % (2921596)Termination phase: Saturation
% 1.45/0.49 % (2921596)Time elapsed: 0.005 s
% 1.45/0.49 % (2921596)Peak memory usage: 12 MB
% 1.45/0.49 % (2921596)Instructions burned: 8 (million)
% 1.45/0.49 % (2921605)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3325362323:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.45/0.49 % (2921591)Instruction limit reached!
% 1.45/0.49 % (2921591)------------------------------
% 1.45/0.49 % (2921591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.49 % (2921591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.49 % (2921591)CaDiCaL version: 2.1.3
% 1.45/0.49 % (2921591)Termination reason: Instruction limit
% 1.45/0.49 % (2921591)Termination phase: Saturation
% 1.45/0.49 % (2921591)Time elapsed: 0.024 s
% 1.45/0.49 % (2921591)Peak memory usage: 12 MB
% 1.45/0.49 % (2921591)Instructions burned: 61 (million)
% 1.45/0.49 % (2921605)Instruction limit reached!
% 1.45/0.49 % (2921605)------------------------------
% 1.45/0.49 % (2921605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.49 % (2921605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.49 % (2921605)CaDiCaL version: 2.1.3
% 1.45/0.49 % (2921605)Termination reason: Instruction limit
% 1.45/0.49 % (2921605)Termination phase: Saturation
% 1.45/0.49 % (2921605)Time elapsed: 0.005 s
% 1.45/0.49 % (2921605)Peak memory usage: 11 MB
% 1.45/0.49 % (2921605)Instructions burned: 24 (million)
% 1.45/0.49 % (2921597)Instruction limit reached!
% 1.45/0.49 % (2921597)------------------------------
% 1.45/0.49 % (2921597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.49 % (2921597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.49 % (2921597)CaDiCaL version: 2.1.3
% 1.45/0.49 % (2921597)Termination reason: Instruction limit
% 1.45/0.49 % (2921597)Termination phase: Saturation
% 1.45/0.49 % (2921597)Time elapsed: 0.016 s
% 1.45/0.49 % (2921597)Peak memory usage: 12 MB
% 1.45/0.49 % (2921597)Instructions burned: 32 (million)
% 1.45/0.49 % (2921606)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1353226755:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.45/0.49 % (2921607)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4289361813:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.45/0.49 % (2921608)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3695466486:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.45/0.49 % (2921611)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1809386342:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.45/0.49 % (2921606)Instruction limit reached!
% 1.45/0.49 % (2921606)------------------------------
% 1.45/0.49 % (2921606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.49 % (2921606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.49 % (2921606)CaDiCaL version: 2.1.3
% 1.45/0.49 % (2921606)Termination reason: Instruction limit
% 1.45/0.49 % (2921606)Termination phase: Saturation
% 1.45/0.49 % (2921606)Time elapsed: 0.010 s
% 1.45/0.49 % (2921606)Peak memory usage: 12 MB
% 1.45/0.49 % (2921606)Instructions burned: 20 (million)
% 1.45/0.49 % (2921612)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.45/0.49 % (2921610)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4113500027:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.45/0.49 % (2921610)Refutation not found, incomplete strategy
% 1.45/0.49 % (2921610)------------------------------
% 1.45/0.49 % (2921610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.49 % (2921610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.49 % (2921610)CaDiCaL version: 2.1.3
% 1.45/0.49 % (2921610)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.49 % (2921610)Time elapsed: 0.001 s
% 1.45/0.49 % (2921610)Peak memory usage: 11 MB
% 1.45/0.49 % (2921610)------------------------------
% 1.45/0.49 % (2921610)------------------------------
% 1.45/0.49 % (2921612)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1409374871:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.45/0.55 % (2921611)Instruction limit reached!
% 1.45/0.55 % (2921611)------------------------------
% 1.45/0.55 % (2921611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (2921611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (2921611)CaDiCaL version: 2.1.3
% 1.45/0.55 % (2921611)Termination reason: Instruction limit
% 1.45/0.55 % (2921611)Termination phase: Saturation
% 1.45/0.55 % (2921611)Time elapsed: 0.010 s
% 1.45/0.55 % (2921611)Peak memory usage: 12 MB
% 1.45/0.55 % (2921611)Instructions burned: 45 (million)
% 1.45/0.55 % (2921612)Instruction limit reached!
% 1.45/0.55 % (2921612)------------------------------
% 1.45/0.55 % (2921612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (2921612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (2921612)CaDiCaL version: 2.1.3
% 1.45/0.55 % (2921612)Termination reason: Instruction limit
% 1.45/0.55 % (2921612)Termination phase: Saturation
% 1.45/0.55 % (2921612)Time elapsed: 0.005 s
% 1.45/0.55 % (2921612)Peak memory usage: 12 MB
% 1.45/0.55 % (2921612)Instructions burned: 8 (million)
% 1.45/0.55 % (2921621)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.45/0.55 % (2921621)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=4173139406:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.45/0.55 % (2921621)Refutation not found, incomplete strategy
% 1.45/0.55 % (2921621)------------------------------
% 1.45/0.55 % (2921621)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (2921621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (2921621)CaDiCaL version: 2.1.3
% 1.45/0.55 % (2921621)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.55 % (2921621)Time elapsed: 0.0000 s
% 1.45/0.55 % (2921621)Peak memory usage: 11 MB
% 1.45/0.55 % (2921621)Instructions burned: 1 (million)
% 1.45/0.55 % (2921617)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=250832167:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.45/0.55 % (2921621)------------------------------
% 1.45/0.55 % (2921621)------------------------------
% 1.45/0.55 % (2921617)Refutation not found, incomplete strategy
% 1.45/0.55 % (2921617)------------------------------
% 1.45/0.55 % (2921617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (2921617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (2921617)CaDiCaL version: 2.1.3
% 1.45/0.55 % (2921617)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.55 % (2921617)Time elapsed: 0.001 s
% 1.45/0.55 % (2921617)Peak memory usage: 11 MB
% 1.45/0.55 % (2921617)------------------------------
% 1.45/0.55 % (2921617)------------------------------
% 1.45/0.55 % (2921620)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=2229897314:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.45/0.55 % (2921620)Refutation not found, incomplete strategy
% 1.45/0.55 % (2921620)------------------------------
% 1.45/0.55 % (2921620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.45/0.55 % (2921620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.45/0.55 % (2921620)CaDiCaL version: 2.1.3
% 1.45/0.55 % (2921620)Termination reason: Refutation not found, incomplete strategy
% 1.45/0.55 % (2921620)Time elapsed: 0.001 s
% 1.45/0.55 % (2921620)Peak memory usage: 11 MB
% 1.45/0.55 % (2921620)------------------------------
% 1.45/0.55 % (2921620)------------------------------
% 1.45/0.55 % (2921625)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=512956441:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.45/0.55 % (2921622)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=706249509:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.45/0.55 % (2921625)Refutation not found, incomplete strategy
% 1.45/0.55 % (2921625)------------------------------
% 2.17/0.60 % (2921625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.60 % (2921625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.60 % (2921625)CaDiCaL version: 2.1.3
% 2.17/0.60 % (2921625)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.60 % (2921625)Time elapsed: 0.001 s
% 2.17/0.60 % (2921625)Peak memory usage: 12 MB
% 2.17/0.60 % (2921625)Instructions burned: 2 (million)
% 2.17/0.60 % (2921625)------------------------------
% 2.17/0.60 % (2921625)------------------------------
% 2.17/0.60 % (2921626)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=986405503:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 2.17/0.60 % (2921631)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=3505385965: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)
% 2.17/0.60 % (2921622)Instruction limit reached!
% 2.17/0.60 % (2921622)------------------------------
% 2.17/0.60 % (2921622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.60 % (2921622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.60 % (2921622)CaDiCaL version: 2.1.3
% 2.17/0.60 % (2921622)Termination reason: Instruction limit
% 2.17/0.60 % (2921622)Termination phase: Saturation
% 2.17/0.60 % (2921622)Time elapsed: 0.011 s
% 2.17/0.60 % (2921622)Peak memory usage: 12 MB
% 2.17/0.60 % (2921622)Instructions burned: 23 (million)
% 2.17/0.60 % (2921628)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=3992639708:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2998 on theBenchmark for (2998ds/853Mi)
% 2.17/0.60 % (2921608)Instruction limit reached!
% 2.17/0.60 % (2921608)------------------------------
% 2.17/0.60 % (2921608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.60 % (2921608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.60 % (2921608)CaDiCaL version: 2.1.3
% 2.17/0.60 % (2921608)Termination reason: Instruction limit
% 2.17/0.60 % (2921608)Termination phase: Saturation
% 2.17/0.60 % (2921608)Time elapsed: 0.055 s
% 2.17/0.60 % (2921608)Peak memory usage: 12 MB
% 2.17/0.60 % (2921608)Instructions burned: 143 (million)
% 2.17/0.60 % (2921631)Instruction limit reached!
% 2.17/0.60 % (2921631)------------------------------
% 2.17/0.60 % (2921631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.60 % (2921631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.60 % (2921631)CaDiCaL version: 2.1.3
% 2.17/0.60 % (2921631)Termination reason: Instruction limit
% 2.17/0.60 % (2921631)Termination phase: Saturation
% 2.17/0.60 % (2921631)Time elapsed: 0.014 s
% 2.17/0.60 % (2921631)Peak memory usage: 12 MB
% 2.17/0.60 % (2921631)Instructions burned: 48 (million)
% 2.17/0.60 % (2921634)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=578136584:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.17/0.60 % (2921634)Refutation not found, incomplete strategy
% 2.17/0.60 % (2921634)------------------------------
% 2.17/0.60 % (2921634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.17/0.60 % (2921634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.17/0.60 % (2921634)CaDiCaL version: 2.1.3
% 2.17/0.60 % (2921634)Termination reason: Refutation not found, incomplete strategy
% 2.17/0.60 % (2921634)Time elapsed: 0.001 s
% 2.17/0.60 % (2921634)Peak memory usage: 11 MB
% 2.17/0.60 % (2921634)Instructions burned: 1 (million)
% 2.17/0.60 % (2921634)------------------------------
% 2.17/0.60 % (2921634)------------------------------
% 2.17/0.60 % (2921637)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.17/0.60 % (2921637)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3826872695:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.17/0.60 % (2921636)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2910898390: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)
% 2.59/0.63 % (2921550)Instruction limit reached!
% 2.59/0.63 % (2921550)------------------------------
% 2.59/0.63 % (2921550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.63 % (2921550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.63 % (2921550)CaDiCaL version: 2.1.3
% 2.59/0.63 % (2921550)Termination reason: Instruction limit
% 2.59/0.63 % (2921550)Termination phase: Saturation
% 2.59/0.63 % (2921550)Time elapsed: 0.217 s
% 2.59/0.63 % (2921550)Peak memory usage: 13 MB
% 2.59/0.63 % (2921550)Instructions burned: 637 (million)
% 2.59/0.63 % (2921636)Instruction limit reached!
% 2.59/0.63 % (2921636)------------------------------
% 2.59/0.63 % (2921636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.63 % (2921636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.63 % (2921636)CaDiCaL version: 2.1.3
% 2.59/0.63 % (2921636)Termination reason: Instruction limit
% 2.59/0.63 % (2921636)Termination phase: Saturation
% 2.59/0.63 % (2921636)Time elapsed: 0.012 s
% 2.59/0.63 % (2921636)Peak memory usage: 12 MB
% 2.59/0.63 % (2921636)Instructions burned: 22 (million)
% 2.59/0.63 % (2921639)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=23883753:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.59/0.63 % (2921639)Instruction limit reached!
% 2.59/0.63 % (2921639)------------------------------
% 2.59/0.63 % (2921639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.63 % (2921639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.63 % (2921639)CaDiCaL version: 2.1.3
% 2.59/0.63 % (2921639)Termination reason: Instruction limit
% 2.59/0.63 % (2921639)Termination phase: Saturation
% 2.59/0.63 % (2921639)Time elapsed: 0.007 s
% 2.59/0.63 % (2921639)Peak memory usage: 12 MB
% 2.59/0.63 % (2921639)Instructions burned: 13 (million)
% 2.59/0.63 % (2921642)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=2606163419:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.59/0.63 % (2921643)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3575319751:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.59/0.63 % (2921643)Refutation not found, incomplete strategy
% 2.59/0.63 % (2921643)------------------------------
% 2.59/0.63 % (2921643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.63 % (2921643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.63 % (2921643)CaDiCaL version: 2.1.3
% 2.59/0.63 % (2921643)Termination reason: Refutation not found, incomplete strategy
% 2.59/0.63 % (2921643)Time elapsed: 0.001 s
% 2.59/0.63 % (2921643)Peak memory usage: 11 MB
% 2.59/0.63 % (2921643)Instructions burned: 1 (million)
% 2.59/0.63 % (2921643)------------------------------
% 2.59/0.63 % (2921643)------------------------------
% 2.59/0.63 % (2921637)Instruction limit reached!
% 2.59/0.63 % (2921637)------------------------------
% 2.59/0.63 % (2921637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.63 % (2921637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.63 % (2921637)CaDiCaL version: 2.1.3
% 2.59/0.63 % (2921637)Termination reason: Instruction limit
% 2.59/0.63 % (2921637)Termination phase: Saturation
% 2.59/0.63 % (2921637)Time elapsed: 0.041 s
% 2.59/0.63 % (2921637)Peak memory usage: 12 MB
% 2.59/0.63 % (2921637)Instructions burned: 208 (million)
% 2.59/0.63 % (2921645)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=129552360:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.59/0.63 % (2921649)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=914700075:cond=on:i=34:hud=10:nm=10:rtra=on_2997 on theBenchmark for (2997ds/34Mi)
% 2.59/0.63 % (2921648)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1324232142:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2997 on theBenchmark for (2997ds/137Mi)
% 2.59/0.63 % (2921645)Instruction limit reached!
% 2.59/0.63 % (2921645)------------------------------
% 2.59/0.63 % (2921645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.69 % (2921645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.69 % (2921645)CaDiCaL version: 2.1.3
% 2.59/0.69 % (2921645)Termination reason: Instruction limit
% 2.59/0.69 % (2921645)Termination phase: Saturation
% 2.59/0.69 % (2921645)Time elapsed: 0.017 s
% 2.59/0.69 % (2921645)Peak memory usage: 12 MB
% 2.59/0.69 % (2921645)Instructions burned: 31 (million)
% 2.59/0.69 % (2921642)Instruction limit reached!
% 2.59/0.69 % (2921642)------------------------------
% 2.59/0.69 % (2921642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.69 % (2921642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.69 % (2921642)CaDiCaL version: 2.1.3
% 2.59/0.69 % (2921642)Termination reason: Instruction limit
% 2.59/0.69 % (2921642)Termination phase: Saturation
% 2.59/0.69 % (2921642)Time elapsed: 0.029 s
% 2.59/0.69 % (2921642)Peak memory usage: 12 MB
% 2.59/0.69 % (2921642)Instructions burned: 68 (million)
% 2.59/0.69 % (2921649)Instruction limit reached!
% 2.59/0.69 % (2921649)------------------------------
% 2.59/0.69 % (2921649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.69 % (2921649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.69 % (2921649)CaDiCaL version: 2.1.3
% 2.59/0.69 % (2921649)Termination reason: Instruction limit
% 2.59/0.69 % (2921649)Termination phase: Saturation
% 2.59/0.69 % (2921649)Time elapsed: 0.010 s
% 2.59/0.69 % (2921649)Peak memory usage: 12 MB
% 2.59/0.69 % (2921649)Instructions burned: 35 (million)
% 2.59/0.69 % (2921654)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.59/0.69 % (2921654)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=2288359416:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2997 on theBenchmark for (2997ds/180Mi)
% 2.59/0.69 % (2921653)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=567393121:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/67Mi)
% 2.59/0.69 % (2921653)Refutation not found, incomplete strategy
% 2.59/0.69 % (2921653)------------------------------
% 2.59/0.69 % (2921653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.69 % (2921653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.69 % (2921653)CaDiCaL version: 2.1.3
% 2.59/0.69 % (2921653)Termination reason: Refutation not found, incomplete strategy
% 2.59/0.69 % (2921653)Time elapsed: 0.001 s
% 2.59/0.69 % (2921653)Peak memory usage: 11 MB
% 2.59/0.69 % (2921653)Instructions burned: 1 (million)
% 2.59/0.69 % (2921653)------------------------------
% 2.59/0.69 % (2921653)------------------------------
% 2.59/0.69 % (2921655)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2569052218:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.59/0.69 % (2921655)Refutation not found, incomplete strategy
% 2.59/0.69 % (2921655)------------------------------
% 2.59/0.69 % (2921655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.69 % (2921655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.69 % (2921655)CaDiCaL version: 2.1.3
% 2.59/0.69 % (2921655)Termination reason: Refutation not found, incomplete strategy
% 2.59/0.69 % (2921655)Time elapsed: 0.001 s
% 2.59/0.69 % (2921655)Peak memory usage: 11 MB
% 2.59/0.69 % (2921655)------------------------------
% 2.59/0.69 % (2921655)------------------------------
% 2.59/0.69 % (2921658)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1558594267:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.59/0.69 % (2921660)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=669018674:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 2.59/0.69 % (2921660)Refutation not found, incomplete strategy
% 2.59/0.69 % (2921660)------------------------------
% 2.59/0.69 % (2921660)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.69 % (2921660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.69 % (2921660)CaDiCaL version: 2.1.3
% 2.59/0.69 % (2921660)Termination reason: Refutation not found, incomplete strategy
% 2.59/0.69 % (2921660)Time elapsed: 0.001 s
% 2.59/0.69 % (2921660)Peak memory usage: 11 MB
% 2.59/0.69 % (2921648)Instruction limit reached!
% 2.59/0.69 % (2921648)------------------------------
% 2.59/0.69 % (2921648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.73 % (2921648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.73 % (2921648)CaDiCaL version: 2.1.3
% 3.02/0.73 % (2921648)Termination reason: Instruction limit
% 3.02/0.73 % (2921648)Termination phase: Saturation
% 3.02/0.73 % (2921648)Time elapsed: 0.049 s
% 3.02/0.73 % (2921648)Peak memory usage: 12 MB
% 3.02/0.73 % (2921648)Instructions burned: 139 (million)
% 3.02/0.73 % (2921660)------------------------------
% 3.02/0.73 % (2921660)------------------------------
% 3.02/0.73 % (2921654)Instruction limit reached!
% 3.02/0.73 % (2921654)------------------------------
% 3.02/0.73 % (2921654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.73 % (2921654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.73 % (2921654)CaDiCaL version: 2.1.3
% 3.02/0.73 % (2921654)Termination reason: Instruction limit
% 3.02/0.73 % (2921654)Termination phase: Saturation
% 3.02/0.73 % (2921654)Time elapsed: 0.043 s
% 3.02/0.73 % (2921654)Peak memory usage: 12 MB
% 3.02/0.73 % (2921654)Instructions burned: 182 (million)
% 3.02/0.73 % (2921663)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=228780100:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 3.02/0.73 % (2921664)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=4018326667:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 3.02/0.73 % (2921663)Refutation not found, incomplete strategy
% 3.02/0.73 % (2921663)------------------------------
% 3.02/0.73 % (2921663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.73 % (2921663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.73 % (2921663)CaDiCaL version: 2.1.3
% 3.02/0.73 % (2921663)Termination reason: Refutation not found, incomplete strategy
% 3.02/0.73 % (2921663)Time elapsed: 0.001 s
% 3.02/0.73 % (2921663)Peak memory usage: 11 MB
% 3.02/0.73 % (2921664)Refutation not found, incomplete strategy
% 3.02/0.73 % (2921664)------------------------------
% 3.02/0.73 % (2921664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.73 % (2921664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.73 % (2921664)CaDiCaL version: 2.1.3
% 3.02/0.73 % (2921664)Termination reason: Refutation not found, incomplete strategy
% 3.02/0.73 % (2921664)Time elapsed: 0.001 s
% 3.02/0.73 % (2921664)Peak memory usage: 12 MB
% 3.02/0.73 % (2921663)------------------------------
% 3.02/0.73 % (2921663)------------------------------
% 3.02/0.73 % (2921664)------------------------------
% 3.02/0.73 % (2921664)------------------------------
% 3.02/0.73 % (2921665)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3239336855:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 3.02/0.73 % (2921665)Refutation not found, incomplete strategy
% 3.02/0.73 % (2921665)------------------------------
% 3.02/0.73 % (2921665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.73 % (2921665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.73 % (2921665)CaDiCaL version: 2.1.3
% 3.02/0.73 % (2921665)Termination reason: Refutation not found, incomplete strategy
% 3.02/0.73 % (2921665)Time elapsed: 0.0000 s
% 3.02/0.73 % (2921665)Peak memory usage: 11 MB
% 3.02/0.73 % (2921665)Instructions burned: 1 (million)
% 3.02/0.73 % (2921665)------------------------------
% 3.02/0.73 % (2921665)------------------------------
% 3.02/0.73 % (2921671)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=945437013:i=450:rtra=on:ixr=off:ntd=on_2996 on theBenchmark for (2996ds/450Mi)
% 3.02/0.73 % (2921626)Instruction limit reached!
% 3.02/0.73 % (2921626)------------------------------
% 3.02/0.73 % (2921626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.73 % (2921626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.73 % (2921626)CaDiCaL version: 2.1.3
% 3.02/0.73 % (2921626)Termination reason: Instruction limit
% 3.02/0.73 % (2921626)Termination phase: Saturation
% 3.02/0.73 % (2921626)Time elapsed: 0.163 s
% 3.02/0.73 % (2921626)Peak memory usage: 14 MB
% 3.02/0.73 % (2921626)Instructions burned: 317 (million)
% 3.02/0.73 % (2921658)Instruction limit reached!
% 3.02/0.73 % (2921658)------------------------------
% 3.02/0.73 % (2921658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.73 % (2921658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.79 % (2921658)CaDiCaL version: 2.1.3
% 3.02/0.79 % (2921658)Termination reason: Instruction limit
% 3.02/0.79 % (2921658)Termination phase: Saturation
% 3.02/0.79 % (2921658)Time elapsed: 0.042 s
% 3.02/0.79 % (2921658)Peak memory usage: 12 MB
% 3.02/0.79 % (2921658)Instructions burned: 96 (million)
% 3.02/0.79 % (2921669)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1319412960:s2a=on:i=571:nm=16:rtra=on_2996 on theBenchmark for (2996ds/571Mi)
% 3.02/0.79 % (2921668)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2689583938:i=44:ep=R:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/44Mi)
% 3.02/0.79 % (2921669)Refutation not found, incomplete strategy
% 3.02/0.79 % (2921669)------------------------------
% 3.02/0.79 % (2921669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.79 % (2921669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.79 % (2921669)CaDiCaL version: 2.1.3
% 3.02/0.79 % (2921669)Termination reason: Refutation not found, incomplete strategy
% 3.02/0.79 % (2921669)Time elapsed: 0.001 s
% 3.02/0.79 % (2921669)Peak memory usage: 12 MB
% 3.02/0.79 % (2921669)Instructions burned: 1 (million)
% 3.02/0.79 % (2921669)------------------------------
% 3.02/0.79 % (2921669)------------------------------
% 3.02/0.79 % (2921673)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1150090648:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/95Mi)
% 3.02/0.79 % (2921674)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=2006440417:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2996 on theBenchmark for (2996ds/65Mi)
% 3.02/0.79 % (2921677)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=160014789: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_2996 on theBenchmark for (2996ds/105Mi)
% 3.02/0.79 % (2921668)Instruction limit reached!
% 3.02/0.79 % (2921668)------------------------------
% 3.02/0.79 % (2921668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.79 % (2921668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.79 % (2921668)CaDiCaL version: 2.1.3
% 3.02/0.79 % (2921668)Termination reason: Instruction limit
% 3.02/0.79 % (2921668)Termination phase: Saturation
% 3.02/0.79 % (2921668)Time elapsed: 0.020 s
% 3.02/0.79 % (2921668)Peak memory usage: 12 MB
% 3.02/0.79 % (2921668)Instructions burned: 45 (million)
% 3.02/0.79 % (2921681)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=693884683:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.02/0.79 % (2921681)Refutation not found, incomplete strategy
% 3.02/0.79 % (2921681)------------------------------
% 3.02/0.79 % (2921681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.79 % (2921681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.79 % (2921681)CaDiCaL version: 2.1.3
% 3.02/0.79 % (2921681)Termination reason: Refutation not found, incomplete strategy
% 3.02/0.79 % (2921681)Time elapsed: 0.001 s
% 3.02/0.79 % (2921681)Peak memory usage: 12 MB
% 3.02/0.79 % (2921681)------------------------------
% 3.02/0.79 % (2921681)------------------------------
% 3.02/0.79 % (2921674)Instruction limit reached!
% 3.02/0.79 % (2921674)------------------------------
% 3.02/0.79 % (2921674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.79 % (2921674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/0.79 % (2921674)CaDiCaL version: 2.1.3
% 3.02/0.79 % (2921674)Termination reason: Instruction limit
% 3.02/0.79 % (2921674)Termination phase: Saturation
% 3.02/0.79 % (2921674)Time elapsed: 0.030 s
% 3.02/0.79 % (2921674)Peak memory usage: 12 MB
% 3.02/0.79 % (2921674)Instructions burned: 66 (million)
% 3.02/0.79 % (2921673)Instruction limit reached!
% 3.02/0.79 % (2921673)------------------------------
% 3.02/0.79 % (2921673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.02/0.79 % (2921673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.88 % (2921673)CaDiCaL version: 2.1.3
% 3.54/0.88 % (2921673)Termination reason: Instruction limit
% 3.54/0.88 % (2921673)Termination phase: Saturation
% 3.54/0.88 % (2921673)Time elapsed: 0.042 s
% 3.54/0.88 % (2921673)Peak memory usage: 12 MB
% 3.54/0.88 % (2921673)Instructions burned: 96 (million)
% 3.54/0.88 % (2921683)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=20669273:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.54/0.88 % (2921683)Refutation not found, incomplete strategy
% 3.54/0.88 % (2921683)------------------------------
% 3.54/0.88 % (2921683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.88 % (2921683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.88 % (2921683)CaDiCaL version: 2.1.3
% 3.54/0.88 % (2921683)Termination reason: Refutation not found, incomplete strategy
% 3.54/0.88 % (2921683)Time elapsed: 0.0000 s
% 3.54/0.88 % (2921683)Peak memory usage: 11 MB
% 3.54/0.88 % (2921683)------------------------------
% 3.54/0.88 % (2921683)------------------------------
% 3.54/0.88 % (2921684)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4145546175:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 3.54/0.88 % (2921685)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=3201381756:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.54/0.88 % (2921677)Instruction limit reached!
% 3.54/0.88 % (2921677)------------------------------
% 3.54/0.88 % (2921677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.88 % (2921677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.88 % (2921677)CaDiCaL version: 2.1.3
% 3.54/0.88 % (2921677)Termination reason: Instruction limit
% 3.54/0.88 % (2921677)Termination phase: Saturation
% 3.54/0.88 % (2921677)Time elapsed: 0.054 s
% 3.54/0.88 % (2921677)Peak memory usage: 12 MB
% 3.54/0.88 % (2921677)Instructions burned: 105 (million)
% 3.54/0.88 % (2921671)Instruction limit reached!
% 3.54/0.88 % (2921671)------------------------------
% 3.54/0.88 % (2921671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.88 % (2921671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.88 % (2921671)CaDiCaL version: 2.1.3
% 3.54/0.88 % (2921671)Termination reason: Instruction limit
% 3.54/0.88 % (2921671)Termination phase: Saturation
% 3.54/0.88 % (2921671)Time elapsed: 0.081 s
% 3.54/0.88 % (2921671)Peak memory usage: 12 MB
% 3.54/0.88 % (2921671)Instructions burned: 452 (million)
% 3.54/0.88 % (2921687)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=49680470:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 3.54/0.88 % (2921691)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=808521021:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2995 on theBenchmark for (2995ds/22Mi)
% 3.54/0.88 % (2921685)Instruction limit reached!
% 3.54/0.88 % (2921685)------------------------------
% 3.54/0.88 % (2921685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.88 % (2921685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.88 % (2921685)CaDiCaL version: 2.1.3
% 3.54/0.88 % (2921685)Termination reason: Instruction limit
% 3.54/0.88 % (2921685)Termination phase: Saturation
% 3.54/0.88 % (2921685)Time elapsed: 0.018 s
% 3.54/0.88 % (2921685)Peak memory usage: 12 MB
% 3.54/0.88 % (2921685)Instructions burned: 34 (million)
% 3.54/0.88 % (2921691)Instruction limit reached!
% 3.54/0.88 % (2921691)------------------------------
% 3.54/0.88 % (2921691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.54/0.88 % (2921691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/0.88 % (2921691)CaDiCaL version: 2.1.3
% 3.54/0.88 % (2921691)Termination reason: Instruction limit
% 3.54/0.88 % (2921691)Termination phase: Saturation
% 3.54/0.88 % (2921691)Time elapsed: 0.006 s
% 3.54/0.88 % (2921691)Peak memory usage: 12 MB
% 3.54/0.88 % (2921691)Instructions burned: 26 (million)
% 3.54/0.88 % (2921690)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=691570518:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.54/0.88 % (2921690)Refutation not found, incomplete strategy
% 3.99/0.93 % (2921690)------------------------------
% 3.99/0.93 % (2921690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.93 % (2921690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/0.93 % (2921690)CaDiCaL version: 2.1.3
% 3.99/0.93 % (2921690)Termination reason: Refutation not found, incomplete strategy
% 3.99/0.93 % (2921690)Time elapsed: 0.0000 s
% 3.99/0.93 % (2921690)Peak memory usage: 11 MB
% 3.99/0.93 % (2921690)------------------------------
% 3.99/0.93 % (2921690)------------------------------
% 3.99/0.93 % (2921694)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=1013861199:i=338:bd=all:ins=4:rtra=on_2995 on theBenchmark for (2995ds/338Mi)
% 3.99/0.93 % (2921697)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 3.99/0.93 % (2921695)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1818003945:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2995 on theBenchmark for (2995ds/28Mi)
% 3.99/0.93 % (2921695)Refutation not found, incomplete strategy
% 3.99/0.93 % (2921695)------------------------------
% 3.99/0.93 % (2921695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.93 % (2921695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/0.93 % (2921695)CaDiCaL version: 2.1.3
% 3.99/0.93 % (2921695)Termination reason: Refutation not found, incomplete strategy
% 3.99/0.93 % (2921695)Time elapsed: 0.001 s
% 3.99/0.93 % (2921695)Peak memory usage: 11 MB
% 3.99/0.93 % (2921695)------------------------------
% 3.99/0.93 % (2921695)------------------------------
% 3.99/0.93 % (2921697)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2186743491:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.99/0.93 % (2921687)Instruction limit reached!
% 3.99/0.93 % (2921687)------------------------------
% 3.99/0.93 % (2921687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.93 % (2921687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/0.93 % (2921687)CaDiCaL version: 2.1.3
% 3.99/0.93 % (2921687)Termination reason: Instruction limit
% 3.99/0.93 % (2921687)Termination phase: Saturation
% 3.99/0.93 % (2921687)Time elapsed: 0.040 s
% 3.99/0.93 % (2921687)Peak memory usage: 12 MB
% 3.99/0.93 % (2921687)Instructions burned: 93 (million)
% 3.99/0.93 % (2921628)Instruction limit reached!
% 3.99/0.93 % (2921628)------------------------------
% 3.99/0.93 % (2921628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.93 % (2921628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/0.93 % (2921628)CaDiCaL version: 2.1.3
% 3.99/0.93 % (2921628)Termination reason: Instruction limit
% 3.99/0.93 % (2921628)Termination phase: Saturation
% 3.99/0.93 % (2921628)Time elapsed: 0.293 s
% 3.99/0.93 % (2921628)Peak memory usage: 13 MB
% 3.99/0.93 % (2921628)Instructions burned: 854 (million)
% 3.99/0.93 % (2921701)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=3591581457:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2995 on theBenchmark for (2995ds/340Mi)
% 3.99/0.93 % (2921702)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1179352335:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 3.99/0.93 % (2921702)Refutation not found, incomplete strategy
% 3.99/0.93 % (2921702)------------------------------
% 3.99/0.93 % (2921702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.93 % (2921702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/0.93 % (2921702)CaDiCaL version: 2.1.3
% 3.99/0.93 % (2921702)Termination reason: Refutation not found, incomplete strategy
% 3.99/0.93 % (2921702)Time elapsed: 0.0000 s
% 3.99/0.93 % (2921702)Peak memory usage: 11 MB
% 3.99/0.93 % (2921702)------------------------------
% 3.99/0.93 % (2921702)------------------------------
% 3.99/0.93 % (2921704)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 3.99/0.93 % (2921704)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4095424714:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 3.99/0.98 % (2921706)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2344239288:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 3.99/0.98 % (2921697)Instruction limit reached!
% 3.99/0.98 % (2921697)------------------------------
% 3.99/0.98 % (2921697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.98 % (2921697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/0.98 % (2921697)CaDiCaL version: 2.1.3
% 3.99/0.98 % (2921697)Termination reason: Instruction limit
% 3.99/0.98 % (2921697)Termination phase: Saturation
% 3.99/0.98 % (2921697)Time elapsed: 0.055 s
% 3.99/0.98 % (2921697)Peak memory usage: 12 MB
% 3.99/0.98 % (2921697)Instructions burned: 138 (million)
% 3.99/0.98 % (2921694)Instruction limit reached!
% 3.99/0.98 % (2921694)------------------------------
% 3.99/0.98 % (2921694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.98 % (2921694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/0.98 % (2921694)CaDiCaL version: 2.1.3
% 3.99/0.98 % (2921694)Termination reason: Instruction limit
% 3.99/0.98 % (2921694)Termination phase: Saturation
% 3.99/0.98 % (2921694)Time elapsed: 0.078 s
% 3.99/0.98 % (2921694)Peak memory usage: 14 MB
% 3.99/0.98 % (2921694)Instructions burned: 339 (million)
% 3.99/0.98 % (2921709)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=525566191:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 3.99/0.98 % (2921709)Refutation not found, incomplete strategy
% 3.99/0.98 % (2921709)------------------------------
% 3.99/0.98 % (2921709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.98 % (2921709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/0.98 % (2921709)CaDiCaL version: 2.1.3
% 3.99/0.98 % (2921709)Termination reason: Refutation not found, incomplete strategy
% 3.99/0.98 % (2921709)Time elapsed: 0.001 s
% 3.99/0.98 % (2921709)Peak memory usage: 11 MB
% 3.99/0.98 % (2921709)Instructions burned: 1 (million)
% 3.99/0.98 % (2921709)------------------------------
% 3.99/0.98 % (2921709)------------------------------
% 3.99/0.98 % (2921710)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3582128836:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2994 on theBenchmark for (2994ds/270Mi)
% 3.99/0.98 % (2921713)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=1112064864: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_2994 on theBenchmark for (2994ds/9840Mi)
% 3.99/0.98 % (2921706)Instruction limit reached!
% 3.99/0.98 % (2921706)------------------------------
% 3.99/0.98 % (2921706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.98 % (2921706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/0.98 % (2921706)CaDiCaL version: 2.1.3
% 3.99/0.98 % (2921706)Termination reason: Instruction limit
% 3.99/0.98 % (2921706)Termination phase: Saturation
% 3.99/0.98 % (2921706)Time elapsed: 0.048 s
% 3.99/0.98 % (2921706)Peak memory usage: 12 MB
% 3.99/0.98 % (2921706)Instructions burned: 116 (million)
% 3.99/0.98 % (2921715)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=2778955028:i=421:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/421Mi)
% 3.99/0.98 % (2921715)Refutation not found, incomplete strategy
% 3.99/0.98 % (2921715)------------------------------
% 3.99/0.98 % (2921715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.98 % (2921715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/0.98 % (2921715)CaDiCaL version: 2.1.3
% 3.99/0.98 % (2921715)Termination reason: Refutation not found, incomplete strategy
% 3.99/0.98 % (2921715)Time elapsed: 0.001 s
% 3.99/0.98 % (2921715)Peak memory usage: 11 MB
% 3.99/0.98 % (2921715)------------------------------
% 3.99/0.98 % (2921715)------------------------------
% 3.99/0.98 % (2921607)Instruction limit reached!
% 3.99/0.98 % (2921607)------------------------------
% 3.99/0.98 % (2921607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/0.98 % (2921607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.01 % (2921607)CaDiCaL version: 2.1.3
% 3.99/1.01 % (2921607)Termination reason: Instruction limit
% 3.99/1.01 % (2921607)Termination phase: Saturation
% 3.99/1.01 % (2921607)Time elapsed: 0.459 s
% 3.99/1.01 % (2921607)Peak memory usage: 13 MB
% 3.99/1.01 % (2921607)Instructions burned: 1241 (million)
% 3.99/1.01 % (2921717)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
% 3.99/1.01 % (2921717)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=1917343376:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 3.99/1.01 % (2921710)Instruction limit reached!
% 3.99/1.01 % (2921710)------------------------------
% 3.99/1.01 % (2921710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/1.01 % (2921710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.01 % (2921710)CaDiCaL version: 2.1.3
% 3.99/1.01 % (2921710)Termination reason: Instruction limit
% 3.99/1.01 % (2921710)Termination phase: Saturation
% 3.99/1.01 % (2921710)Time elapsed: 0.059 s
% 3.99/1.01 % (2921710)Peak memory usage: 12 MB
% 3.99/1.01 % (2921710)Instructions burned: 271 (million)
% 3.99/1.01 % (2921720)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 3.99/1.01 % (2921720)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
% 3.99/1.01 % (2921718)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2254496508:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 3.99/1.01 % (2921720)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=3640701424:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2993 on theBenchmark for (2993ds/1440Mi)
% 3.99/1.01 % (2921718)Instruction limit reached!
% 3.99/1.01 % (2921718)------------------------------
% 3.99/1.01 % (2921718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/1.01 % (2921718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.01 % (2921718)CaDiCaL version: 2.1.3
% 3.99/1.01 % (2921718)Termination reason: Instruction limit
% 3.99/1.01 % (2921718)Termination phase: Saturation
% 3.99/1.01 % (2921718)Time elapsed: 0.017 s
% 3.99/1.01 % (2921718)Peak memory usage: 12 MB
% 3.99/1.01 % (2921718)Instructions burned: 32 (million)
% 3.99/1.01 % (2921701)Instruction limit reached!
% 3.99/1.01 % (2921701)------------------------------
% 3.99/1.01 % (2921701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/1.01 % (2921701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.01 % (2921701)CaDiCaL version: 2.1.3
% 3.99/1.01 % (2921701)Termination reason: Instruction limit
% 3.99/1.01 % (2921701)Termination phase: Saturation
% 3.99/1.01 % (2921701)Time elapsed: 0.152 s
% 3.99/1.01 % (2921701)Peak memory usage: 13 MB
% 3.99/1.01 % (2921701)Instructions burned: 340 (million)
% 3.99/1.01 % (2921684)Instruction limit reached!
% 3.99/1.01 % (2921684)------------------------------
% 3.99/1.01 % (2921684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/1.01 % (2921684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.01 % (2921684)CaDiCaL version: 2.1.3
% 3.99/1.01 % (2921684)Termination reason: Instruction limit
% 3.99/1.01 % (2921684)Termination phase: Saturation
% 3.99/1.01 % (2921684)Time elapsed: 0.223 s
% 3.99/1.01 % (2921684)Peak memory usage: 13 MB
% 3.99/1.01 % (2921684)Instructions burned: 497 (million)
% 3.99/1.01 % (2921723)dis+10_2_sil=128000:si=on:random_seed=3201076260:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2993 on theBenchmark for (2993ds/339Mi)
% 3.99/1.01 % (2921723)Refutation not found, incomplete strategy
% 3.99/1.01 % (2921723)------------------------------
% 3.99/1.01 % (2921723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.99/1.01 % (2921723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.01 % (2921723)CaDiCaL version: 2.1.3
% 3.99/1.01 % (2921723)Termination reason: Refutation not found, incomplete strategy
% 3.99/1.01 % (2921723)Time elapsed: 0.0000 s
% 5.44/1.12 % (2921723)Peak memory usage: 11 MB
% 5.44/1.12 % (2921723)------------------------------
% 5.44/1.12 % (2921723)------------------------------
% 5.44/1.12 % (2921724)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3924204140:i=111:add=on:fgj=on:rtra=on:fdi=1024_2993 on theBenchmark for (2993ds/111Mi)
% 5.44/1.12 % (2921725)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=2488937079:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/122Mi)
% 5.44/1.12 % (2921725)Refutation not found, incomplete strategy
% 5.44/1.12 % (2921725)------------------------------
% 5.44/1.12 % (2921725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (2921725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (2921725)CaDiCaL version: 2.1.3
% 5.44/1.12 % (2921725)Termination reason: Refutation not found, incomplete strategy
% 5.44/1.12 % (2921725)Time elapsed: 0.001 s
% 5.44/1.12 % (2921725)Peak memory usage: 11 MB
% 5.44/1.12 % (2921725)------------------------------
% 5.44/1.12 % (2921725)------------------------------
% 5.44/1.12 % (2921727)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=3443323196:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/136Mi)
% 5.44/1.12 % (2921727)Refutation not found, incomplete strategy
% 5.44/1.12 % (2921727)------------------------------
% 5.44/1.12 % (2921727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (2921727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (2921727)CaDiCaL version: 2.1.3
% 5.44/1.12 % (2921727)Termination reason: Refutation not found, incomplete strategy
% 5.44/1.12 % (2921727)Time elapsed: 0.001 s
% 5.44/1.12 % (2921727)Peak memory usage: 11 MB
% 5.44/1.12 % (2921727)Instructions burned: 1 (million)
% 5.44/1.12 % (2921727)------------------------------
% 5.44/1.12 % (2921727)------------------------------
% 5.44/1.12 % (2921704)Instruction limit reached!
% 5.44/1.12 % (2921704)------------------------------
% 5.44/1.12 % (2921704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (2921704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (2921704)CaDiCaL version: 2.1.3
% 5.44/1.12 % (2921704)Termination reason: Instruction limit
% 5.44/1.12 % (2921704)Termination phase: Saturation
% 5.44/1.12 % (2921704)Time elapsed: 0.174 s
% 5.44/1.12 % (2921704)Peak memory usage: 12 MB
% 5.44/1.12 % (2921704)Instructions burned: 374 (million)
% 5.44/1.12 % (2921730)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3265903866:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2993 on theBenchmark for (2993ds/232Mi)
% 5.44/1.12 % (2921730)Refutation not found, incomplete strategy
% 5.44/1.12 % (2921730)------------------------------
% 5.44/1.12 % (2921730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (2921730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (2921730)CaDiCaL version: 2.1.3
% 5.44/1.12 % (2921730)Termination reason: Refutation not found, incomplete strategy
% 5.44/1.12 % (2921730)Time elapsed: 0.0000 s
% 5.44/1.12 % (2921730)Peak memory usage: 11 MB
% 5.44/1.12 % (2921730)------------------------------
% 5.44/1.12 % (2921730)------------------------------
% 5.44/1.12 % (2921732)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=3894954600:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/1254Mi)
% 5.44/1.12 % (2921732)Refutation not found, incomplete strategy
% 5.44/1.12 % (2921732)------------------------------
% 5.44/1.12 % (2921732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.44/1.12 % (2921732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.12 % (2921732)CaDiCaL version: 2.1.3
% 5.44/1.12 % (2921732)Termination reason: Refutation not found, incomplete strategy
% 5.44/1.12 % (2921732)Time elapsed: 0.002 s
% 5.44/1.12 % (2921732)Peak memory usage: 11 MB
% 5.44/1.12 % (2921732)Instructions burned: 3 (million)
% 5.44/1.12 % (2921732)------------------------------
% 5.44/1.12 % (2921732)------------------------------
% 5.44/1.12 % (2921733)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.16/1.20 % (2921733)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=665316672:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 6.16/1.20 % (2921717)Instruction limit reached!
% 6.16/1.20 % (2921717)------------------------------
% 6.16/1.20 % (2921717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.20 % (2921717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.20 % (2921717)CaDiCaL version: 2.1.3
% 6.16/1.20 % (2921717)Termination reason: Instruction limit
% 6.16/1.20 % (2921717)Termination phase: Saturation
% 6.16/1.20 % (2921717)Time elapsed: 0.100 s
% 6.16/1.20 % (2921717)Peak memory usage: 12 MB
% 6.16/1.20 % (2921717)Instructions burned: 271 (million)
% 6.16/1.20 % (2921735)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3083167486:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.16/1.20 % (2921735)Refutation not found, incomplete strategy
% 6.16/1.20 % (2921735)------------------------------
% 6.16/1.20 % (2921735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.20 % (2921735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.20 % (2921735)CaDiCaL version: 2.1.3
% 6.16/1.20 % (2921735)Termination reason: Refutation not found, incomplete strategy
% 6.16/1.20 % (2921735)Time elapsed: 0.002 s
% 6.16/1.20 % (2921735)Peak memory usage: 12 MB
% 6.16/1.20 % (2921735)Instructions burned: 2 (million)
% 6.16/1.20 % (2921735)------------------------------
% 6.16/1.20 % (2921735)------------------------------
% 6.16/1.20 % (2921724)Instruction limit reached!
% 6.16/1.20 % (2921724)------------------------------
% 6.16/1.20 % (2921724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.20 % (2921724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.20 % (2921724)CaDiCaL version: 2.1.3
% 6.16/1.20 % (2921724)Termination reason: Instruction limit
% 6.16/1.20 % (2921724)Termination phase: Saturation
% 6.16/1.20 % (2921724)Time elapsed: 0.051 s
% 6.16/1.20 % (2921724)Peak memory usage: 12 MB
% 6.16/1.20 % (2921724)Instructions burned: 111 (million)
% 6.16/1.20 % (2921737)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=1530675849:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.16/1.20 % (2921739)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3910125813:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 6.16/1.20 % (2921739)Refutation not found, incomplete strategy
% 6.16/1.20 % (2921739)------------------------------
% 6.16/1.20 % (2921739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.20 % (2921739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.20 % (2921739)CaDiCaL version: 2.1.3
% 6.16/1.20 % (2921739)Termination reason: Refutation not found, incomplete strategy
% 6.16/1.20 % (2921739)Time elapsed: 0.001 s
% 6.16/1.20 % (2921739)Peak memory usage: 11 MB
% 6.16/1.20 % (2921739)------------------------------
% 6.16/1.20 % (2921739)------------------------------
% 6.16/1.20 % (2921742)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=145029274:st=1.5:i=346:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/346Mi)
% 6.16/1.20 % (2921741)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1866582666:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/130Mi)
% 6.16/1.20 % (2921741)Refutation not found, incomplete strategy
% 6.16/1.20 % (2921741)------------------------------
% 6.16/1.20 % (2921741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.20 % (2921741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.16/1.20 % (2921741)CaDiCaL version: 2.1.3
% 6.16/1.20 % (2921741)Termination reason: Refutation not found, incomplete strategy
% 6.16/1.20 % (2921741)Time elapsed: 0.0000 s
% 6.16/1.20 % (2921741)Peak memory usage: 11 MB
% 6.16/1.20 % (2921742)Refutation not found, incomplete strategy
% 6.16/1.20 % (2921742)------------------------------
% 6.16/1.20 % (2921742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.16/1.20 % (2921742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.38 % (2921742)CaDiCaL version: 2.1.3
% 6.96/1.38 % (2921742)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.38 % (2921742)Time elapsed: 0.001 s
% 6.96/1.38 % (2921742)Peak memory usage: 11 MB
% 6.96/1.38 % (2921742)Instructions burned: 1 (million)
% 6.96/1.38 % (2921741)------------------------------
% 6.96/1.38 % (2921741)------------------------------
% 6.96/1.38 % (2921742)------------------------------
% 6.96/1.38 % (2921742)------------------------------
% 6.96/1.38 % (2921745)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2966439422:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2992 on theBenchmark for (2992ds/152Mi)
% 6.96/1.38 % (2921748)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3519411456:i=75:ep=R:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/75Mi)
% 6.96/1.38 % (2921749)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=4277404718:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/387Mi)
% 6.96/1.38 % (2921749)Refutation not found, incomplete strategy
% 6.96/1.38 % (2921749)------------------------------
% 6.96/1.38 % (2921749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.38 % (2921749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.38 % (2921749)CaDiCaL version: 2.1.3
% 6.96/1.38 % (2921749)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.38 % (2921749)Time elapsed: 0.001 s
% 6.96/1.38 % (2921749)Peak memory usage: 11 MB
% 6.96/1.38 % (2921749)Instructions burned: 1 (million)
% 6.96/1.38 % (2921749)------------------------------
% 6.96/1.38 % (2921749)------------------------------
% 6.96/1.38 % (2921753)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=1501894619:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2992 on theBenchmark for (2992ds/148Mi)
% 6.96/1.38 % (2921748)Instruction limit reached!
% 6.96/1.38 % (2921748)------------------------------
% 6.96/1.38 % (2921748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.38 % (2921748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.38 % (2921748)CaDiCaL version: 2.1.3
% 6.96/1.38 % (2921748)Termination reason: Instruction limit
% 6.96/1.38 % (2921748)Termination phase: Saturation
% 6.96/1.38 % (2921748)Time elapsed: 0.032 s
% 6.96/1.38 % (2921748)Peak memory usage: 12 MB
% 6.96/1.38 % (2921748)Instructions burned: 76 (million)
% 6.96/1.38 % (2921755)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=2960682213:i=161:piset=and:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/161Mi)
% 6.96/1.38 % (2921745)Instruction limit reached!
% 6.96/1.38 % (2921745)------------------------------
% 6.96/1.38 % (2921745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.38 % (2921745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.38 % (2921745)CaDiCaL version: 2.1.3
% 6.96/1.38 % (2921745)Termination reason: Instruction limit
% 6.96/1.38 % (2921745)Termination phase: Saturation
% 6.96/1.38 % (2921745)Time elapsed: 0.074 s
% 6.96/1.38 % (2921745)Peak memory usage: 13 MB
% 6.96/1.38 % (2921745)Instructions burned: 154 (million)
% 6.96/1.38 % (2921757)lrs+10_1_sil=128000:si=on:random_seed=3245146860:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/888Mi)
% 6.96/1.38 % (2921757)Refutation not found, incomplete strategy
% 6.96/1.38 % (2921757)------------------------------
% 6.96/1.38 % (2921757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.38 % (2921757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.38 % (2921757)CaDiCaL version: 2.1.3
% 6.96/1.38 % (2921757)Termination reason: Refutation not found, incomplete strategy
% 6.96/1.38 % (2921757)Time elapsed: 0.001 s
% 6.96/1.38 % (2921757)Peak memory usage: 11 MB
% 6.96/1.38 % (2921757)------------------------------
% 6.96/1.38 % (2921757)------------------------------
% 6.96/1.38 % (2921753)Instruction limit reached!
% 6.96/1.38 % (2921753)------------------------------
% 6.96/1.38 % (2921753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.96/1.38 % (2921753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.38 % (2921753)CaDiCaL version: 2.1.3
% 6.96/1.38 % (2921753)Termination reason: Instruction limit
% 7.35/1.49 % (2921753)Termination phase: Saturation
% 7.35/1.49 % (2921753)Time elapsed: 0.066 s
% 7.35/1.49 % (2921753)Peak memory usage: 12 MB
% 7.35/1.49 % (2921753)Instructions burned: 150 (million)
% 7.35/1.49 % (2921733)Instruction limit reached!
% 7.35/1.49 % (2921733)------------------------------
% 7.35/1.49 % (2921733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.49 % (2921733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.49 % (2921733)CaDiCaL version: 2.1.3
% 7.35/1.49 % (2921733)Termination reason: Instruction limit
% 7.35/1.49 % (2921733)Termination phase: Saturation
% 7.35/1.49 % (2921733)Time elapsed: 0.145 s
% 7.35/1.49 % (2921733)Peak memory usage: 13 MB
% 7.35/1.49 % (2921733)Instructions burned: 281 (million)
% 7.35/1.49 % (2921759)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=1242078933:i=136:add=on:ins=4:rtra=on:sup=off_2991 on theBenchmark for (2991ds/136Mi)
% 7.35/1.49 % (2921760)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=90997087:i=88:s2at=3:nm=2:rtra=on:rawr=on_2991 on theBenchmark for (2991ds/88Mi)
% 7.35/1.49 % (2921755)Instruction limit reached!
% 7.35/1.49 % (2921755)------------------------------
% 7.35/1.49 % (2921755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.49 % (2921755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.49 % (2921755)CaDiCaL version: 2.1.3
% 7.35/1.49 % (2921755)Termination reason: Instruction limit
% 7.35/1.49 % (2921755)Termination phase: Saturation
% 7.35/1.49 % (2921755)Time elapsed: 0.056 s
% 7.35/1.49 % (2921755)Peak memory usage: 12 MB
% 7.35/1.49 % (2921755)Instructions burned: 163 (million)
% 7.35/1.49 % (2921761)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2428171163:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2991 on theBenchmark for (2991ds/93Mi)
% 7.35/1.49 % (2921764)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2965504873:i=2186:rtra=on:ixr=off_2991 on theBenchmark for (2991ds/2186Mi)
% 7.35/1.49 % (2921720)Instruction limit reached!
% 7.35/1.49 % (2921720)------------------------------
% 7.35/1.49 % (2921720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.49 % (2921720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.49 % (2921720)CaDiCaL version: 2.1.3
% 7.35/1.49 % (2921720)Termination reason: Instruction limit
% 7.35/1.49 % (2921720)Termination phase: Saturation
% 7.35/1.49 % (2921720)Time elapsed: 0.265 s
% 7.35/1.49 % (2921720)Peak memory usage: 13 MB
% 7.35/1.49 % (2921720)Instructions burned: 1445 (million)
% 7.35/1.49 % (2921767)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=971234245:s2a=on:i=240:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/240Mi)
% 7.35/1.49 % (2921760)Instruction limit reached!
% 7.35/1.49 % (2921760)------------------------------
% 7.35/1.49 % (2921760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.49 % (2921760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.49 % (2921760)CaDiCaL version: 2.1.3
% 7.35/1.49 % (2921760)Termination reason: Instruction limit
% 7.35/1.49 % (2921760)Termination phase: Saturation
% 7.35/1.49 % (2921760)Time elapsed: 0.038 s
% 7.35/1.49 % (2921760)Peak memory usage: 12 MB
% 7.35/1.49 % (2921760)Instructions burned: 90 (million)
% 7.35/1.49 % (2921761)Instruction limit reached!
% 7.35/1.49 % (2921761)------------------------------
% 7.35/1.49 % (2921761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.35/1.49 % (2921761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.35/1.49 % (2921761)CaDiCaL version: 2.1.3
% 7.35/1.49 % (2921761)Termination reason: Instruction limit
% 7.35/1.49 % (2921761)Termination phase: Saturation
% 7.35/1.49 % (2921761)Time elapsed: 0.047 s
% 7.35/1.49 % (2921761)Peak memory usage: 12 MB
% 7.35/1.49 % (2921761)Instructions burned: 94 (million)
% 7.35/1.49 % (2921769)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=898088829:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/805Mi)
% 7.35/1.49 % (2921759)Instruction limit reached!
% 7.35/1.49 % (2921759)------------------------------
% 7.35/1.49 % (2921759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.57 % (2921759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.57 % (2921759)CaDiCaL version: 2.1.3
% 7.86/1.57 % (2921759)Termination reason: Instruction limit
% 7.86/1.57 % (2921759)Termination phase: Saturation
% 7.86/1.57 % (2921759)Time elapsed: 0.062 s
% 7.86/1.57 % (2921759)Peak memory usage: 12 MB
% 7.86/1.57 % (2921759)Instructions burned: 137 (million)
% 7.86/1.57 % (2921770)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 7.86/1.57 % (2921770)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=1650073181:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2990 on theBenchmark for (2990ds/391Mi)
% 7.86/1.57 % (2921770)Refutation not found, incomplete strategy
% 7.86/1.57 % (2921770)------------------------------
% 7.86/1.57 % (2921770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.57 % (2921770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.57 % (2921770)CaDiCaL version: 2.1.3
% 7.86/1.57 % (2921770)Termination reason: Refutation not found, incomplete strategy
% 7.86/1.57 % (2921770)Time elapsed: 0.001 s
% 7.86/1.57 % (2921770)Peak memory usage: 11 MB
% 7.86/1.57 % (2921770)Instructions burned: 1 (million)
% 7.86/1.57 % (2921770)------------------------------
% 7.86/1.57 % (2921770)------------------------------
% 7.86/1.57 % (2921772)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=3880038155:i=355:av=off:fsr=off:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/355Mi)
% 7.86/1.57 % (2921767)Instruction limit reached!
% 7.86/1.57 % (2921767)------------------------------
% 7.86/1.57 % (2921767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.57 % (2921767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.57 % (2921767)CaDiCaL version: 2.1.3
% 7.86/1.57 % (2921767)Termination reason: Instruction limit
% 7.86/1.57 % (2921767)Termination phase: Saturation
% 7.86/1.57 % (2921767)Time elapsed: 0.048 s
% 7.86/1.57 % (2921767)Peak memory usage: 12 MB
% 7.86/1.57 % (2921767)Instructions burned: 241 (million)
% 7.86/1.57 % (2921776)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2164588801:s2a=on:i=251:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/251Mi)
% 7.86/1.57 % (2921774)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=3067718665:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/314Mi)
% 7.86/1.57 % (2921774)Refutation not found, incomplete strategy
% 7.86/1.57 % (2921774)------------------------------
% 7.86/1.57 % (2921774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.57 % (2921774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.57 % (2921774)CaDiCaL version: 2.1.3
% 7.86/1.57 % (2921774)Termination reason: Refutation not found, incomplete strategy
% 7.86/1.57 % (2921774)Time elapsed: 0.0000 s
% 7.86/1.57 % (2921774)Peak memory usage: 11 MB
% 7.86/1.57 % (2921774)------------------------------
% 7.86/1.57 % (2921774)------------------------------
% 7.86/1.57 % (2921779)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=3731740225: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_2990 on theBenchmark for (2990ds/2470Mi)
% 7.86/1.57 % (2921776)Instruction limit reached!
% 7.86/1.57 % (2921776)------------------------------
% 7.86/1.57 % (2921776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.86/1.57 % (2921776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.86/1.57 % (2921776)CaDiCaL version: 2.1.3
% 7.86/1.57 % (2921776)Termination reason: Instruction limit
% 7.86/1.57 % (2921776)Termination phase: Saturation
% 7.86/1.57 % (2921776)Time elapsed: 0.058 s
% 7.86/1.57 % (2921776)Peak memory usage: 12 MB
% 7.86/1.57 % (2921776)Instructions burned: 253 (million)
% 7.86/1.57 % (2921781)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2438617874:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2989 on theBenchmark for (2989ds/673Mi)
% 7.86/1.57 % (2921772)Instruction limit reached!
% 7.86/1.57 % (2921772)------------------------------
% 8.83/1.70 % (2921772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.70 % (2921772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.70 % (2921772)CaDiCaL version: 2.1.3
% 8.83/1.70 % (2921772)Termination reason: Instruction limit
% 8.83/1.70 % (2921772)Termination phase: Saturation
% 8.83/1.70 % (2921772)Time elapsed: 0.159 s
% 8.83/1.70 % (2921772)Peak memory usage: 12 MB
% 8.83/1.70 % (2921772)Instructions burned: 356 (million)
% 8.83/1.70 % (2921783)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2280500560:i=116:ep=RSTC:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/116Mi)
% 8.83/1.70 % (2921781)Instruction limit reached!
% 8.83/1.70 % (2921781)------------------------------
% 8.83/1.70 % (2921781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.70 % (2921781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.70 % (2921781)CaDiCaL version: 2.1.3
% 8.83/1.70 % (2921781)Termination reason: Instruction limit
% 8.83/1.70 % (2921781)Termination phase: Saturation
% 8.83/1.70 % (2921781)Time elapsed: 0.124 s
% 8.83/1.70 % (2921781)Peak memory usage: 13 MB
% 8.83/1.70 % (2921781)Instructions burned: 676 (million)
% 8.83/1.70 % (2921737)Instruction limit reached!
% 8.83/1.70 % (2921737)------------------------------
% 8.83/1.70 % (2921737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.70 % (2921737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.70 % (2921737)CaDiCaL version: 2.1.3
% 8.83/1.70 % (2921737)Termination reason: Instruction limit
% 8.83/1.70 % (2921737)Termination phase: Saturation
% 8.83/1.70 % (2921737)Time elapsed: 0.439 s
% 8.83/1.70 % (2921737)Peak memory usage: 15 MB
% 8.83/1.70 % (2921737)Instructions burned: 865 (million)
% 8.83/1.70 % (2921785)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1263472390:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2988 on theBenchmark for (2988ds/270Mi)
% 8.83/1.70 % (2921783)Instruction limit reached!
% 8.83/1.70 % (2921783)------------------------------
% 8.83/1.70 % (2921783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.70 % (2921783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.70 % (2921783)CaDiCaL version: 2.1.3
% 8.83/1.70 % (2921783)Termination reason: Instruction limit
% 8.83/1.70 % (2921783)Termination phase: Saturation
% 8.83/1.70 % (2921783)Time elapsed: 0.048 s
% 8.83/1.70 % (2921783)Peak memory usage: 12 MB
% 8.83/1.70 % (2921783)Instructions burned: 117 (million)
% 8.83/1.70 % (2921786)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=2261296971: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_2988 on theBenchmark for (2988ds/30Mi)
% 8.83/1.70 % (2921788)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 8.83/1.70 % (2921788)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=261556327:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2988 on theBenchmark for (2988ds/39Mi)
% 8.83/1.70 % (2921786)Instruction limit reached!
% 8.83/1.70 % (2921786)------------------------------
% 8.83/1.70 % (2921786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.70 % (2921786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.70 % (2921786)CaDiCaL version: 2.1.3
% 8.83/1.70 % (2921786)Termination reason: Instruction limit
% 8.83/1.70 % (2921786)Termination phase: Saturation
% 8.83/1.70 % (2921786)Time elapsed: 0.014 s
% 8.83/1.70 % (2921786)Peak memory usage: 12 MB
% 8.83/1.70 % (2921786)Instructions burned: 31 (million)
% 8.83/1.70 % (2921788)Instruction limit reached!
% 8.83/1.70 % (2921788)------------------------------
% 8.83/1.70 % (2921788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.83/1.70 % (2921788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/1.70 % (2921788)CaDiCaL version: 2.1.3
% 8.83/1.70 % (2921788)Termination reason: Instruction limit
% 8.83/1.70 % (2921788)Termination phase: Saturation
% 8.83/1.70 % (2921788)Time elapsed: 0.020 s
% 8.83/1.70 % (2921788)Peak memory usage: 12 MB
% 8.83/1.70 % (2921788)Instructions burned: 39 (million)
% 8.83/1.70 % (2921791)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1160132797:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2987 on theBenchmark for (2987ds/365Mi)
% 9.50/1.80 % (2921785)Instruction limit reached!
% 9.50/1.80 % (2921785)------------------------------
% 9.50/1.80 % (2921785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.80 % (2921785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.80 % (2921785)CaDiCaL version: 2.1.3
% 9.50/1.80 % (2921785)Termination reason: Instruction limit
% 9.50/1.80 % (2921785)Termination phase: Saturation
% 9.50/1.80 % (2921785)Time elapsed: 0.061 s
% 9.50/1.80 % (2921785)Peak memory usage: 12 MB
% 9.50/1.80 % (2921785)Instructions burned: 274 (million)
% 9.50/1.80 % (2921792)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=229484583:i=158:av=off:rtra=on_2987 on theBenchmark for (2987ds/158Mi)
% 9.50/1.80 % (2921794)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
% 9.50/1.80 % (2921794)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=1612406781:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/252Mi)
% 9.50/1.80 % (2921769)Instruction limit reached!
% 9.50/1.80 % (2921769)------------------------------
% 9.50/1.80 % (2921769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.80 % (2921769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.80 % (2921769)CaDiCaL version: 2.1.3
% 9.50/1.80 % (2921769)Termination reason: Instruction limit
% 9.50/1.80 % (2921769)Termination phase: Saturation
% 9.50/1.80 % (2921769)Time elapsed: 0.331 s
% 9.50/1.80 % (2921769)Peak memory usage: 14 MB
% 9.50/1.80 % (2921769)Instructions burned: 805 (million)
% 9.50/1.80 % (2921797)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=2244472517:i=213:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/213Mi)
% 9.50/1.80 % (2921797)Refutation not found, incomplete strategy
% 9.50/1.80 % (2921797)------------------------------
% 9.50/1.80 % (2921797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.80 % (2921797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.80 % (2921797)CaDiCaL version: 2.1.3
% 9.50/1.80 % (2921797)Termination reason: Refutation not found, incomplete strategy
% 9.50/1.80 % (2921797)Time elapsed: 0.001 s
% 9.50/1.80 % (2921797)Peak memory usage: 11 MB
% 9.50/1.80 % (2921797)------------------------------
% 9.50/1.80 % (2921797)------------------------------
% 9.50/1.80 % (2921794)Instruction limit reached!
% 9.50/1.80 % (2921794)------------------------------
% 9.50/1.80 % (2921794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.80 % (2921794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.80 % (2921794)CaDiCaL version: 2.1.3
% 9.50/1.80 % (2921794)Termination reason: Instruction limit
% 9.50/1.80 % (2921794)Termination phase: Saturation
% 9.50/1.80 % (2921794)Time elapsed: 0.050 s
% 9.50/1.80 % (2921794)Peak memory usage: 12 MB
% 9.50/1.80 % (2921794)Instructions burned: 256 (million)
% 9.50/1.80 % (2921792)Instruction limit reached!
% 9.50/1.80 % (2921792)------------------------------
% 9.50/1.80 % (2921792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.80 % (2921792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.80 % (2921792)CaDiCaL version: 2.1.3
% 9.50/1.80 % (2921792)Termination reason: Instruction limit
% 9.50/1.80 % (2921792)Termination phase: Saturation
% 9.50/1.80 % (2921792)Time elapsed: 0.064 s
% 9.50/1.80 % (2921792)Peak memory usage: 12 MB
% 9.50/1.80 % (2921792)Instructions burned: 158 (million)
% 9.50/1.80 % (2921799)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=2155517877:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2987 on theBenchmark for (2987ds/160Mi)
% 9.50/1.80 % (2921800)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=1699450554:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/763Mi)
% 9.50/1.80 % (2921799)Refutation not found, incomplete strategy
% 9.50/1.80 % (2921799)------------------------------
% 9.50/1.87 % (2921799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.87 % (2921799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.87 % (2921799)CaDiCaL version: 2.1.3
% 9.50/1.87 % (2921799)Termination reason: Refutation not found, incomplete strategy
% 9.50/1.87 % (2921799)Time elapsed: 0.001 s
% 9.50/1.87 % (2921799)Peak memory usage: 11 MB
% 9.50/1.87 % (2921799)------------------------------
% 9.50/1.87 % (2921799)------------------------------
% 9.50/1.87 % (2921802)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 9.50/1.87 % (2921802)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=2299969840:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2986 on theBenchmark for (2986ds/237Mi)
% 9.50/1.87 % (2921802)Refutation not found, incomplete strategy
% 9.50/1.87 % (2921802)------------------------------
% 9.50/1.87 % (2921802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.87 % (2921802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.87 % (2921802)CaDiCaL version: 2.1.3
% 9.50/1.87 % (2921802)Termination reason: Refutation not found, incomplete strategy
% 9.50/1.87 % (2921802)Time elapsed: 0.0000 s
% 9.50/1.87 % (2921802)Peak memory usage: 11 MB
% 9.50/1.87 % (2921802)------------------------------
% 9.50/1.87 % (2921802)------------------------------
% 9.50/1.87 % (2921804)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=2215878689:s2a=on:i=386:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/386Mi)
% 9.50/1.87 % (2921807)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=882927227:i=300:piset=and:nm=32:rtra=on_2986 on theBenchmark for (2986ds/300Mi)
% 9.50/1.87 % (2921791)Instruction limit reached!
% 9.50/1.87 % (2921791)------------------------------
% 9.50/1.87 % (2921791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.87 % (2921791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.87 % (2921791)CaDiCaL version: 2.1.3
% 9.50/1.87 % (2921791)Termination reason: Instruction limit
% 9.50/1.87 % (2921791)Termination phase: Saturation
% 9.50/1.87 % (2921791)Time elapsed: 0.133 s
% 9.50/1.87 % (2921791)Peak memory usage: 12 MB
% 9.50/1.87 % (2921791)Instructions burned: 366 (million)
% 9.50/1.87 % (2921809)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=556172438:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2986 on theBenchmark for (2986ds/567Mi)
% 9.50/1.87 % (2921809)Refutation not found, incomplete strategy
% 9.50/1.87 % (2921809)------------------------------
% 9.50/1.87 % (2921809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.87 % (2921809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.87 % (2921809)CaDiCaL version: 2.1.3
% 9.50/1.87 % (2921809)Termination reason: Refutation not found, incomplete strategy
% 9.50/1.87 % (2921809)Time elapsed: 0.001 s
% 9.50/1.87 % (2921809)Peak memory usage: 11 MB
% 9.50/1.87 % (2921809)Instructions burned: 1 (million)
% 9.50/1.87 % (2921809)------------------------------
% 9.50/1.87 % (2921809)------------------------------
% 9.50/1.87 % (2921811)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=4151087588:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2986 on theBenchmark for (2986ds/379Mi)
% 9.50/1.87 % (2921811)Refutation not found, incomplete strategy
% 9.50/1.87 % (2921811)------------------------------
% 9.50/1.87 % (2921811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.50/1.87 % (2921811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.50/1.87 % (2921811)CaDiCaL version: 2.1.3
% 9.50/1.87 % (2921811)Termination reason: Refutation not found, incomplete strategy
% 9.50/1.87 % (2921811)Time elapsed: 0.001 s
% 9.50/1.87 % (2921811)Peak memory usage: 11 MB
% 9.50/1.87 % (2921811)------------------------------
% 9.50/1.87 % (2921811)------------------------------
% 9.50/1.87 % (2921813)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3933644374:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2985 on theBenchmark for (2985ds/429Mi)
% 9.50/1.87 % (2921800)Instruction limit reached!
% 9.50/1.87 % (2921800)------------------------------
% 9.50/1.87 % (2921800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/1.91 % (2921800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/1.91 % (2921800)CaDiCaL version: 2.1.3
% 10.94/1.91 % (2921800)Termination reason: Instruction limit
% 10.94/1.91 % (2921800)Termination phase: Saturation
% 10.94/1.91 % (2921800)Time elapsed: 0.132 s
% 10.94/1.91 % (2921800)Peak memory usage: 13 MB
% 10.94/1.91 % (2921800)Instructions burned: 764 (million)
% 10.94/1.91 % (2921815)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=2879465609:i=478:bd=all:rtra=on_2985 on theBenchmark for (2985ds/478Mi)
% 10.94/1.91 % (2921815)Refutation not found, incomplete strategy
% 10.94/1.91 % (2921815)------------------------------
% 10.94/1.91 % (2921815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/1.91 % (2921815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/1.91 % (2921815)CaDiCaL version: 2.1.3
% 10.94/1.91 % (2921815)Termination reason: Refutation not found, incomplete strategy
% 10.94/1.91 % (2921815)Time elapsed: 0.0000 s
% 10.94/1.91 % (2921815)Peak memory usage: 12 MB
% 10.94/1.91 % (2921815)Instructions burned: 1 (million)
% 10.94/1.91 % (2921815)------------------------------
% 10.94/1.91 % (2921815)------------------------------
% 10.94/1.91 % (2921817)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3855889681:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2985 on theBenchmark for (2985ds/445Mi)
% 10.94/1.91 % (2921807)Instruction limit reached!
% 10.94/1.91 % (2921807)------------------------------
% 10.94/1.91 % (2921807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/1.91 % (2921807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/1.91 % (2921807)CaDiCaL version: 2.1.3
% 10.94/1.91 % (2921807)Termination reason: Instruction limit
% 10.94/1.91 % (2921807)Termination phase: Saturation
% 10.94/1.91 % (2921807)Time elapsed: 0.132 s
% 10.94/1.91 % (2921807)Peak memory usage: 12 MB
% 10.94/1.91 % (2921807)Instructions burned: 302 (million)
% 10.94/1.91 % (2921804)Instruction limit reached!
% 10.94/1.91 % (2921804)------------------------------
% 10.94/1.91 % (2921804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/1.91 % (2921804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/1.91 % (2921804)CaDiCaL version: 2.1.3
% 10.94/1.91 % (2921804)Termination reason: Instruction limit
% 10.94/1.91 % (2921804)Termination phase: Saturation
% 10.94/1.91 % (2921804)Time elapsed: 0.168 s
% 10.94/1.91 % (2921804)Peak memory usage: 12 MB
% 10.94/1.91 % (2921804)Instructions burned: 388 (million)
% 10.94/1.91 % (2921819)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1031308264:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/71Mi)
% 10.94/1.91 % (2921820)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3821151938:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/302Mi)
% 10.94/1.91 % (2921820)Refutation not found, incomplete strategy
% 10.94/1.91 % (2921820)------------------------------
% 10.94/1.91 % (2921820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/1.91 % (2921820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/1.91 % (2921820)CaDiCaL version: 2.1.3
% 10.94/1.91 % (2921820)Termination reason: Refutation not found, incomplete strategy
% 10.94/1.91 % (2921820)Time elapsed: 0.001 s
% 10.94/1.91 % (2921820)Peak memory usage: 11 MB
% 10.94/1.91 % (2921820)------------------------------
% 10.94/1.91 % (2921820)------------------------------
% 10.94/1.91 % (2921819)Instruction limit reached!
% 10.94/1.91 % (2921819)------------------------------
% 10.94/1.91 % (2921819)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.94/1.91 % (2921819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/1.91 % (2921819)CaDiCaL version: 2.1.3
% 10.94/1.91 % (2921819)Termination reason: Instruction limit
% 10.94/1.91 % (2921819)Termination phase: Saturation
% 10.94/1.91 % (2921819)Time elapsed: 0.037 s
% 10.94/1.91 % (2921819)Peak memory usage: 12 MB
% 10.94/1.91 % (2921819)Instructions burned: 73 (million)
% 10.94/1.91 % (2921823)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=4258413451:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2984 on theBenchmark for (2984ds/4980Mi)
% 10.94/1.91 % (2921823)Refutation not found, incomplete strategy
% 10.94/1.91 % (2921823)------------------------------
% 10.94/1.91 % (2921823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.54/2.10 % (2921823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.10 % (2921823)CaDiCaL version: 2.1.3
% 12.54/2.10 % (2921823)Termination reason: Refutation not found, incomplete strategy
% 12.54/2.10 % (2921823)Time elapsed: 0.0000 s
% 12.54/2.10 % (2921823)Peak memory usage: 11 MB
% 12.54/2.10 % (2921823)------------------------------
% 12.54/2.10 % (2921823)------------------------------
% 12.54/2.10 % (2921824)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
% 12.54/2.10 % (2921824)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 12.54/2.10 % (2921824)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2277588884:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2984 on theBenchmark for (2984ds/100Mi)
% 12.54/2.10 % (2921826)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=803367189:i=76:piset=equals:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/76Mi)
% 12.54/2.10 % (2921817)Instruction limit reached!
% 12.54/2.10 % (2921817)------------------------------
% 12.54/2.10 % (2921817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.54/2.10 % (2921817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.10 % (2921817)CaDiCaL version: 2.1.3
% 12.54/2.10 % (2921817)Termination reason: Instruction limit
% 12.54/2.10 % (2921817)Termination phase: Saturation
% 12.54/2.10 % (2921817)Time elapsed: 0.119 s
% 12.54/2.10 % (2921817)Peak memory usage: 14 MB
% 12.54/2.10 % (2921817)Instructions burned: 447 (million)
% 12.54/2.10 % (2921829)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=3641283689:i=289:rtra=on_2984 on theBenchmark for (2984ds/289Mi)
% 12.54/2.10 % (2921826)Instruction limit reached!
% 12.54/2.10 % (2921826)------------------------------
% 12.54/2.10 % (2921826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.54/2.10 % (2921826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.10 % (2921826)CaDiCaL version: 2.1.3
% 12.54/2.10 % (2921826)Termination reason: Instruction limit
% 12.54/2.10 % (2921826)Termination phase: Saturation
% 12.54/2.10 % (2921826)Time elapsed: 0.036 s
% 12.54/2.10 % (2921826)Peak memory usage: 12 MB
% 12.54/2.10 % (2921826)Instructions burned: 76 (million)
% 12.54/2.10 % (2921829)Refutation not found, incomplete strategy
% 12.54/2.10 % (2921829)------------------------------
% 12.54/2.10 % (2921829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.54/2.10 % (2921829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.10 % (2921829)CaDiCaL version: 2.1.3
% 12.54/2.10 % (2921829)Termination reason: Refutation not found, incomplete strategy
% 12.54/2.10 % (2921829)Time elapsed: 0.0000 s
% 12.54/2.10 % (2921829)Peak memory usage: 11 MB
% 12.54/2.10 % (2921829)Instructions burned: 1 (million)
% 12.54/2.10 % (2921829)------------------------------
% 12.54/2.10 % (2921829)------------------------------
% 12.54/2.10 % (2921824)Instruction limit reached!
% 12.54/2.10 % (2921824)------------------------------
% 12.54/2.10 % (2921824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.54/2.10 % (2921824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.54/2.10 % (2921824)CaDiCaL version: 2.1.3
% 12.54/2.10 % (2921824)Termination reason: Instruction limit
% 12.54/2.10 % (2921824)Termination phase: Saturation
% 12.54/2.10 % (2921824)Time elapsed: 0.041 s
% 12.54/2.10 % (2921824)Peak memory usage: 12 MB
% 12.54/2.10 % (2921824)Instructions burned: 100 (million)
% 12.54/2.10 % (2921833)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 12.54/2.10 % (2921831)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=3218394704:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2984 on theBenchmark for (2984ds/493Mi)
% 12.54/2.10 % (2921833)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=1109536249:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2983 on theBenchmark for (2983ds/372Mi)
% 13.22/2.18 % (2921832)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=3121140598:cond=on:i=34:hud=10:nm=10:rtra=on_2983 on theBenchmark for (2983ds/34Mi)
% 13.22/2.18 % (2921813)Instruction limit reached!
% 13.22/2.18 % (2921813)------------------------------
% 13.22/2.18 % (2921813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.22/2.18 % (2921813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/2.18 % (2921813)CaDiCaL version: 2.1.3
% 13.22/2.18 % (2921813)Termination reason: Instruction limit
% 13.22/2.18 % (2921813)Termination phase: Saturation
% 13.22/2.18 % (2921813)Time elapsed: 0.195 s
% 13.22/2.18 % (2921813)Peak memory usage: 12 MB
% 13.22/2.18 % (2921813)Instructions burned: 429 (million)
% 13.22/2.18 % (2921833)Refutation not found, incomplete strategy
% 13.22/2.18 % (2921833)------------------------------
% 13.22/2.18 % (2921833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.22/2.18 % (2921833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/2.18 % (2921833)CaDiCaL version: 2.1.3
% 13.22/2.18 % (2921833)Termination reason: Refutation not found, incomplete strategy
% 13.22/2.18 % (2921833)Time elapsed: 0.002 s
% 13.22/2.18 % (2921833)Peak memory usage: 11 MB
% 13.22/2.18 % (2921833)Instructions burned: 2 (million)
% 13.22/2.18 % (2921833)------------------------------
% 13.22/2.18 % (2921833)------------------------------
% 13.22/2.18 % (2921764)Instruction limit reached!
% 13.22/2.18 % (2921764)------------------------------
% 13.22/2.18 % (2921764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.22/2.18 % (2921764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/2.18 % (2921764)CaDiCaL version: 2.1.3
% 13.22/2.18 % (2921764)Termination reason: Instruction limit
% 13.22/2.18 % (2921764)Termination phase: Saturation
% 13.22/2.18 % (2921764)Time elapsed: 0.727 s
% 13.22/2.18 % (2921764)Peak memory usage: 13 MB
% 13.22/2.18 % (2921764)Instructions burned: 2189 (million)
% 13.22/2.18 % (2921832)Instruction limit reached!
% 13.22/2.18 % (2921832)------------------------------
% 13.22/2.18 % (2921832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.22/2.18 % (2921832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/2.18 % (2921832)CaDiCaL version: 2.1.3
% 13.22/2.18 % (2921832)Termination reason: Instruction limit
% 13.22/2.18 % (2921832)Termination phase: Saturation
% 13.22/2.18 % (2921832)Time elapsed: 0.018 s
% 13.22/2.18 % (2921832)Peak memory usage: 12 MB
% 13.22/2.18 % (2921832)Instructions burned: 34 (million)
% 13.22/2.18 % (2921837)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=93225428:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2983 on theBenchmark for (2983ds/670Mi)
% 13.22/2.18 % (2921838)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4160445779:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/647Mi)
% 13.22/2.18 % (2921838)Refutation not found, incomplete strategy
% 13.22/2.18 % (2921838)------------------------------
% 13.22/2.18 % (2921838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.22/2.18 % (2921838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.22/2.18 % (2921838)CaDiCaL version: 2.1.3
% 13.22/2.18 % (2921838)Termination reason: Refutation not found, incomplete strategy
% 13.22/2.18 % (2921838)Time elapsed: 0.0000 s
% 13.22/2.18 % (2921838)Peak memory usage: 11 MB
% 13.22/2.18 % (2921838)------------------------------
% 13.22/2.18 % (2921838)------------------------------
% 13.22/2.18 % (2921839)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=4262162562:i=857:add=off:kws=frequency:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/857Mi)
% 13.22/2.18 % (2921840)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=1753369778:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2983 on theBenchmark for (2983ds/693Mi)
% 13.22/2.18 % (2921843)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3915551976:i=285:hud=10:bd=all:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/285Mi)
% 14.03/2.33 % (2921843)Refutation not found, incomplete strategy
% 14.03/2.33 % (2921843)------------------------------
% 14.03/2.33 % (2921843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.03/2.33 % (2921843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/2.33 % (2921843)CaDiCaL version: 2.1.3
% 14.03/2.33 % (2921843)Termination reason: Refutation not found, incomplete strategy
% 14.03/2.33 % (2921843)Time elapsed: 0.001 s
% 14.03/2.33 % (2921843)Peak memory usage: 11 MB
% 14.03/2.33 % (2921843)Instructions burned: 1 (million)
% 14.03/2.33 % (2921843)------------------------------
% 14.03/2.33 % (2921843)------------------------------
% 14.03/2.33 % (2921847)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 14.03/2.33 % (2921847)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=2054772529:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/52Mi)
% 14.03/2.33 % (2921847)Instruction limit reached!
% 14.03/2.33 % (2921847)------------------------------
% 14.03/2.33 % (2921847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.03/2.33 % (2921847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/2.33 % (2921847)CaDiCaL version: 2.1.3
% 14.03/2.33 % (2921847)Termination reason: Instruction limit
% 14.03/2.33 % (2921847)Termination phase: Saturation
% 14.03/2.33 % (2921847)Time elapsed: 0.021 s
% 14.03/2.33 % (2921847)Peak memory usage: 12 MB
% 14.03/2.33 % (2921847)Instructions burned: 53 (million)
% 14.03/2.33 % (2921849)dis+10_1_si=on:random_seed=621349194:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2982 on theBenchmark for (2982ds/407Mi)
% 14.03/2.33 % (2921849)Refutation not found, incomplete strategy
% 14.03/2.33 % (2921849)------------------------------
% 14.03/2.33 % (2921849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.03/2.33 % (2921849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/2.33 % (2921849)CaDiCaL version: 2.1.3
% 14.03/2.33 % (2921849)Termination reason: Refutation not found, incomplete strategy
% 14.03/2.33 % (2921849)Time elapsed: 0.001 s
% 14.03/2.33 % (2921849)Peak memory usage: 11 MB
% 14.03/2.33 % (2921849)------------------------------
% 14.03/2.33 % (2921849)------------------------------
% 14.03/2.33 % (2921851)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=485242398:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/2240Mi)
% 14.03/2.33 % (2921831)Instruction limit reached!
% 14.03/2.33 % (2921831)------------------------------
% 14.03/2.33 % (2921831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.03/2.33 % (2921831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/2.33 % (2921831)CaDiCaL version: 2.1.3
% 14.03/2.33 % (2921831)Termination reason: Instruction limit
% 14.03/2.33 % (2921831)Termination phase: Saturation
% 14.03/2.33 % (2921831)Time elapsed: 0.206 s
% 14.03/2.33 % (2921831)Peak memory usage: 13 MB
% 14.03/2.33 % (2921831)Instructions burned: 493 (million)
% 14.03/2.33 % (2921840)Instruction limit reached!
% 14.03/2.33 % (2921840)------------------------------
% 14.03/2.33 % (2921840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.03/2.33 % (2921840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.03/2.33 % (2921840)CaDiCaL version: 2.1.3
% 14.03/2.33 % (2921840)Termination reason: Instruction limit
% 14.03/2.33 % (2921840)Termination phase: Saturation
% 14.03/2.33 % (2921840)Time elapsed: 0.175 s
% 14.03/2.33 % (2921840)Peak memory usage: 12 MB
% 14.03/2.33 % (2921840)Instructions burned: 697 (million)
% 14.03/2.33 % (2921853)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=1005647825:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/336Mi)
% 14.03/2.33 % (2921854)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=1413814197:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2981 on theBenchmark for (2981ds/1142Mi)
% 14.03/2.33 % (2921853)Refutation not found, incomplete strategy
% 14.03/2.33 % (2921853)------------------------------
% 14.03/2.33 % (2921853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.03/2.33 % (2921853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.60/2.48 % (2921853)CaDiCaL version: 2.1.3
% 14.60/2.48 % (2921853)Termination reason: Refutation not found, incomplete strategy
% 14.60/2.48 % (2921853)Time elapsed: 0.0000 s
% 14.60/2.48 % (2921853)Peak memory usage: 11 MB
% 14.60/2.48 % (2921853)------------------------------
% 14.60/2.48 % (2921853)------------------------------
% 14.60/2.48 % (2921857)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1649200175:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/376Mi)
% 14.60/2.48 % (2921857)Refutation not found, incomplete strategy
% 14.60/2.48 % (2921857)------------------------------
% 14.60/2.48 % (2921857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.60/2.48 % (2921857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.60/2.48 % (2921857)CaDiCaL version: 2.1.3
% 14.60/2.48 % (2921857)Termination reason: Refutation not found, incomplete strategy
% 14.60/2.48 % (2921857)Time elapsed: 0.001 s
% 14.60/2.48 % (2921857)Peak memory usage: 11 MB
% 14.60/2.48 % (2921857)------------------------------
% 14.60/2.48 % (2921857)------------------------------
% 14.60/2.48 % (2921859)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2164394017:i=766:bd=all:rtra=on_2981 on theBenchmark for (2981ds/766Mi)
% 14.60/2.48 % (2921837)Instruction limit reached!
% 14.60/2.48 % (2921837)------------------------------
% 14.60/2.48 % (2921837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.60/2.48 % (2921837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.60/2.48 % (2921837)CaDiCaL version: 2.1.3
% 14.60/2.48 % (2921837)Termination reason: Instruction limit
% 14.60/2.48 % (2921837)Termination phase: Saturation
% 14.60/2.48 % (2921837)Time elapsed: 0.245 s
% 14.60/2.48 % (2921837)Peak memory usage: 12 MB
% 14.60/2.48 % (2921837)Instructions burned: 672 (million)
% 14.60/2.48 % (2921859)Refutation not found, incomplete strategy
% 14.60/2.48 % (2921859)------------------------------
% 14.60/2.48 % (2921859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.60/2.48 % (2921859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.60/2.48 % (2921859)CaDiCaL version: 2.1.3
% 14.60/2.48 % (2921859)Termination reason: Refutation not found, incomplete strategy
% 14.60/2.48 % (2921859)Time elapsed: 0.001 s
% 14.60/2.48 % (2921859)Peak memory usage: 12 MB
% 14.60/2.48 % (2921859)Instructions burned: 1 (million)
% 14.60/2.48 % (2921859)------------------------------
% 14.60/2.48 % (2921859)------------------------------
% 14.60/2.48 % (2921861)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 14.60/2.48 % (2921861)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=2052397506: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_2981 on theBenchmark for (2981ds/959Mi)
% 14.60/2.48 % (2921862)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=1537533604:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2981 on theBenchmark for (2981ds/6359Mi)
% 14.60/2.48 % (2921861)Refutation not found, incomplete strategy
% 14.60/2.48 % (2921861)------------------------------
% 14.60/2.48 % (2921861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.60/2.48 % (2921861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.60/2.48 % (2921861)CaDiCaL version: 2.1.3
% 14.60/2.48 % (2921861)Termination reason: Refutation not found, incomplete strategy
% 14.60/2.48 % (2921861)Time elapsed: 0.0000 s
% 14.60/2.48 % (2921861)Peak memory usage: 11 MB
% 14.60/2.48 % (2921861)------------------------------
% 14.60/2.48 % (2921861)------------------------------
% 14.60/2.48 % (2921865)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=381194615:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2980 on theBenchmark for (2980ds/35Mi)
% 14.60/2.48 % (2921865)Refutation not found, incomplete strategy
% 14.60/2.48 % (2921865)------------------------------
% 14.60/2.48 % (2921865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.60/2.48 % (2921865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.60/2.48 % (2921865)CaDiCaL version: 2.1.3
% 14.60/2.48 % (2921865)Termination reason: Refutation not found, incomplete strategy
% 15.71/2.60 % (2921865)Time elapsed: 0.0000 s
% 15.71/2.60 % (2921865)Peak memory usage: 11 MB
% 15.71/2.60 % (2921865)------------------------------
% 15.71/2.60 % (2921865)------------------------------
% 15.71/2.60 % (2921867)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=702215527:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2980 on theBenchmark for (2980ds/53Mi)
% 15.71/2.60 % (2921839)Instruction limit reached!
% 15.71/2.60 % (2921839)------------------------------
% 15.71/2.60 % (2921839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.60 % (2921839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.60 % (2921839)CaDiCaL version: 2.1.3
% 15.71/2.60 % (2921839)Termination reason: Instruction limit
% 15.71/2.60 % (2921839)Termination phase: Saturation
% 15.71/2.60 % (2921839)Time elapsed: 0.295 s
% 15.71/2.60 % (2921839)Peak memory usage: 13 MB
% 15.71/2.60 % (2921839)Instructions burned: 858 (million)
% 15.71/2.60 % (2921869)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=810705020:s2a=on:i=876:s2at=6:nm=2:rtra=on_2980 on theBenchmark for (2980ds/876Mi)
% 15.71/2.60 % (2921867)Instruction limit reached!
% 15.71/2.60 % (2921867)------------------------------
% 15.71/2.60 % (2921867)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.60 % (2921867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.60 % (2921867)CaDiCaL version: 2.1.3
% 15.71/2.60 % (2921867)Termination reason: Instruction limit
% 15.71/2.60 % (2921867)Termination phase: Saturation
% 15.71/2.60 % (2921867)Time elapsed: 0.029 s
% 15.71/2.60 % (2921867)Peak memory usage: 12 MB
% 15.71/2.60 % (2921867)Instructions burned: 53 (million)
% 15.71/2.60 % (2921871)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1535524236:i=57:ep=R:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/57Mi)
% 15.71/2.60 % (2921871)Instruction limit reached!
% 15.71/2.60 % (2921871)------------------------------
% 15.71/2.60 % (2921871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.60 % (2921871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.60 % (2921871)CaDiCaL version: 2.1.3
% 15.71/2.60 % (2921871)Termination reason: Instruction limit
% 15.71/2.60 % (2921871)Termination phase: Saturation
% 15.71/2.60 % (2921871)Time elapsed: 0.027 s
% 15.71/2.60 % (2921871)Peak memory usage: 12 MB
% 15.71/2.60 % (2921871)Instructions burned: 59 (million)
% 15.71/2.60 % (2921873)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 15.71/2.60 % (2921873)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3152448732:i=306:bd=all:rtra=on_2979 on theBenchmark for (2979ds/306Mi)
% 15.71/2.60 % (2921873)Refutation not found, incomplete strategy
% 15.71/2.60 % (2921873)------------------------------
% 15.71/2.60 % (2921873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.60 % (2921873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.60 % (2921873)CaDiCaL version: 2.1.3
% 15.71/2.60 % (2921873)Termination reason: Refutation not found, incomplete strategy
% 15.71/2.60 % (2921873)Time elapsed: 0.001 s
% 15.71/2.60 % (2921873)Peak memory usage: 11 MB
% 15.71/2.60 % (2921873)Instructions burned: 1 (million)
% 15.71/2.60 % (2921873)------------------------------
% 15.71/2.60 % (2921873)------------------------------
% 15.71/2.60 % (2921875)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=1185783286:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/262Mi)
% 15.71/2.60 % (2921875)Refutation not found, incomplete strategy
% 15.71/2.60 % (2921875)------------------------------
% 15.71/2.60 % (2921875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.60 % (2921875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.60 % (2921875)CaDiCaL version: 2.1.3
% 15.71/2.60 % (2921875)Termination reason: Refutation not found, incomplete strategy
% 15.71/2.60 % (2921875)Time elapsed: 0.001 s
% 15.71/2.60 % (2921875)Peak memory usage: 11 MB
% 15.71/2.60 % (2921875)------------------------------
% 15.71/2.60 % (2921875)------------------------------
% 15.71/2.60 % (2921877)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 15.71/2.68 % (2921877)ott+1002_16_sil=128000:si=on:random_seed=1941740493:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2979 on theBenchmark for (2979ds/409Mi)
% 15.71/2.68 % (2921854)Instruction limit reached!
% 15.71/2.68 % (2921854)------------------------------
% 15.71/2.68 % (2921854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.68 % (2921854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.68 % (2921854)CaDiCaL version: 2.1.3
% 15.71/2.68 % (2921854)Termination reason: Instruction limit
% 15.71/2.68 % (2921854)Termination phase: Saturation
% 15.71/2.68 % (2921854)Time elapsed: 0.240 s
% 15.71/2.68 % (2921854)Peak memory usage: 14 MB
% 15.71/2.68 % (2921854)Instructions burned: 1144 (million)
% 15.71/2.68 % (2921879)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=4235893511:s2a=on:i=381:rtra=on_2979 on theBenchmark for (2979ds/381Mi)
% 15.71/2.68 % (2921779)Instruction limit reached!
% 15.71/2.68 % (2921779)------------------------------
% 15.71/2.68 % (2921779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.68 % (2921779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.68 % (2921779)CaDiCaL version: 2.1.3
% 15.71/2.68 % (2921779)Termination reason: Instruction limit
% 15.71/2.68 % (2921779)Termination phase: Saturation
% 15.71/2.68 % (2921779)Time elapsed: 1.151 s
% 15.71/2.68 % (2921779)Peak memory usage: 17 MB
% 15.71/2.68 % (2921779)Instructions burned: 2470 (million)
% 15.71/2.68 % (2921881)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4112612159:cond=on:i=324:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/324Mi)
% 15.71/2.68 % (2921879)Instruction limit reached!
% 15.71/2.68 % (2921879)------------------------------
% 15.71/2.68 % (2921879)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.68 % (2921879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.68 % (2921879)CaDiCaL version: 2.1.3
% 15.71/2.68 % (2921879)Termination reason: Instruction limit
% 15.71/2.68 % (2921879)Termination phase: Saturation
% 15.71/2.68 % (2921879)Time elapsed: 0.086 s
% 15.71/2.68 % (2921879)Peak memory usage: 12 MB
% 15.71/2.68 % (2921879)Instructions burned: 383 (million)
% 15.71/2.68 % (2921883)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=4172371170:i=240:kws=inv_precedence:rtra=on_2978 on theBenchmark for (2978ds/240Mi)
% 15.71/2.68 % (2921883)Refutation not found, incomplete strategy
% 15.71/2.68 % (2921883)------------------------------
% 15.71/2.68 % (2921883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.68 % (2921883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.68 % (2921883)CaDiCaL version: 2.1.3
% 15.71/2.68 % (2921883)Termination reason: Refutation not found, incomplete strategy
% 15.71/2.68 % (2921883)Time elapsed: 0.0000 s
% 15.71/2.68 % (2921883)Peak memory usage: 11 MB
% 15.71/2.68 % (2921883)Instructions burned: 1 (million)
% 15.71/2.68 % (2921883)------------------------------
% 15.71/2.68 % (2921883)------------------------------
% 15.71/2.68 % (2921885)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 15.71/2.68 % (2921885)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=398340384:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/124Mi)
% 15.71/2.68 % (2921885)Instruction limit reached!
% 15.71/2.68 % (2921885)------------------------------
% 15.71/2.68 % (2921885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.68 % (2921877)Instruction limit reached!
% 15.71/2.68 % (2921877)------------------------------
% 15.71/2.68 % (2921877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.71/2.68 % (2921877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.68 % (2921877)CaDiCaL version: 2.1.3
% 15.71/2.68 % (2921877)Termination reason: Instruction limit
% 15.71/2.68 % (2921877)Termination phase: Saturation
% 15.71/2.68 % (2921877)Time elapsed: 0.150 s
% 15.71/2.68 % (2921877)Peak memory usage: 13 MB
% 15.71/2.68 % (2921877)Instructions burned: 411 (million)
% 15.71/2.68 % (2921885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.71/2.68 % (2921885)CaDiCaL version: 2.1.3
% 15.71/2.68 % (2921885)Termination reason: Instruction limit
% 15.71/2.68 % (2921885)Termination phase: Saturation
% 15.71/2.68 % (2921885)Time elapsed: 0.026 s
% 15.71/2.68 % (2921885)Peak memory usage: 12 MB
% 17.06/2.87 % (2921885)Instructions burned: 130 (million)
% 17.06/2.87 % (2921888)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1907157067:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2977 on theBenchmark for (2977ds/282Mi)
% 17.06/2.87 % (2921887)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=2233676560:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2977 on theBenchmark for (2977ds/223Mi)
% 17.06/2.87 % (2921881)Instruction limit reached!
% 17.06/2.87 % (2921881)------------------------------
% 17.06/2.87 % (2921881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.06/2.87 % (2921881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.06/2.87 % (2921881)CaDiCaL version: 2.1.3
% 17.06/2.87 % (2921881)Termination reason: Instruction limit
% 17.06/2.87 % (2921881)Termination phase: Saturation
% 17.06/2.87 % (2921881)Time elapsed: 0.115 s
% 17.06/2.87 % (2921881)Peak memory usage: 12 MB
% 17.06/2.87 % (2921881)Instructions burned: 325 (million)
% 17.06/2.87 % (2921891)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=2198129797:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2977 on theBenchmark for (2977ds/464Mi)
% 17.06/2.87 % (2921891)Refutation not found, incomplete strategy
% 17.06/2.87 % (2921891)------------------------------
% 17.06/2.87 % (2921891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.06/2.87 % (2921891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.06/2.87 % (2921888)Instruction limit reached!
% 17.06/2.87 % (2921888)------------------------------
% 17.06/2.87 % (2921888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.06/2.87 % (2921891)CaDiCaL version: 2.1.3
% 17.06/2.87 % (2921891)Termination reason: Refutation not found, incomplete strategy
% 17.06/2.87 % (2921891)Time elapsed: 0.001 s
% 17.06/2.87 % (2921888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.06/2.87 % (2921891)Peak memory usage: 11 MB
% 17.06/2.87 % (2921891)Instructions burned: 1 (million)
% 17.06/2.87 % (2921888)CaDiCaL version: 2.1.3
% 17.06/2.87 % (2921888)Termination reason: Instruction limit
% 17.06/2.87 % (2921888)Termination phase: Saturation
% 17.06/2.87 % (2921888)Time elapsed: 0.068 s
% 17.06/2.87 % (2921888)Peak memory usage: 13 MB
% 17.06/2.87 % (2921888)Instructions burned: 284 (million)
% 17.06/2.87 % (2921891)------------------------------
% 17.06/2.87 % (2921891)------------------------------
% 17.06/2.87 % (2921893)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=1180468181:i=88:s2at=3:nm=2:rtra=on:rawr=on_2976 on theBenchmark for (2976ds/88Mi)
% 17.06/2.87 % (2921887)Instruction limit reached!
% 17.06/2.87 % (2921887)------------------------------
% 17.06/2.87 % (2921887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.06/2.87 % (2921887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.06/2.87 % (2921887)CaDiCaL version: 2.1.3
% 17.06/2.87 % (2921887)Termination reason: Instruction limit
% 17.06/2.87 % (2921887)Termination phase: Saturation
% 17.06/2.87 % (2921887)Time elapsed: 0.077 s
% 17.06/2.87 % (2921887)Peak memory usage: 13 MB
% 17.06/2.87 % (2921887)Instructions burned: 225 (million)
% 17.06/2.87 % (2921894)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3246207175:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2976 on theBenchmark for (2976ds/280Mi)
% 17.06/2.87 % (2921893)Instruction limit reached!
% 17.06/2.87 % (2921893)------------------------------
% 17.06/2.87 % (2921893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.06/2.87 % (2921893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.06/2.87 % (2921893)CaDiCaL version: 2.1.3
% 17.06/2.87 % (2921893)Termination reason: Instruction limit
% 17.06/2.87 % (2921893)Termination phase: Saturation
% 17.06/2.87 % (2921893)Time elapsed: 0.019 s
% 17.06/2.87 % (2921893)Peak memory usage: 12 MB
% 17.06/2.87 % (2921893)Instructions burned: 91 (million)
% 17.06/2.87 % (2921896)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 17.06/2.87 % (2921896)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2838039373:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/4386Mi)
% 17.06/2.87 % (2921898)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 19.20/3.13 % (2921898)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 19.20/3.13 % (2921869)Instruction limit reached!
% 19.20/3.13 % (2921869)------------------------------
% 19.20/3.13 % (2921869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.20/3.13 % (2921869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.20/3.13 % (2921869)CaDiCaL version: 2.1.3
% 19.20/3.13 % (2921869)Termination reason: Instruction limit
% 19.20/3.13 % (2921869)Termination phase: Saturation
% 19.20/3.13 % (2921869)Time elapsed: 0.382 s
% 19.20/3.13 % (2921869)Peak memory usage: 13 MB
% 19.20/3.13 % (2921869)Instructions burned: 877 (million)
% 19.20/3.13 % (2921898)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=169202135:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2976 on theBenchmark for (2976ds/483Mi)
% 19.20/3.13 % (2921898)Refutation not found, incomplete strategy
% 19.20/3.13 % (2921898)------------------------------
% 19.20/3.13 % (2921898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.20/3.13 % (2921898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.20/3.13 % (2921898)CaDiCaL version: 2.1.3
% 19.20/3.13 % (2921898)Termination reason: Refutation not found, incomplete strategy
% 19.20/3.13 % (2921898)Time elapsed: 0.0000 s
% 19.20/3.13 % (2921898)Peak memory usage: 12 MB
% 19.20/3.13 % (2921898)------------------------------
% 19.20/3.13 % (2921898)------------------------------
% 19.20/3.13 % (2921902)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1630191675:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2976 on theBenchmark for (2976ds/176Mi)
% 19.20/3.13 % (2921901)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=815352813:i=73:rtra=on_2976 on theBenchmark for (2976ds/73Mi)
% 19.20/3.13 % (2921901)Refutation not found, incomplete strategy
% 19.20/3.13 % (2921901)------------------------------
% 19.20/3.13 % (2921901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.20/3.13 % (2921901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.20/3.13 % (2921901)CaDiCaL version: 2.1.3
% 19.20/3.13 % (2921901)Termination reason: Refutation not found, incomplete strategy
% 19.20/3.13 % (2921901)Time elapsed: 0.001 s
% 19.20/3.13 % (2921901)Peak memory usage: 11 MB
% 19.20/3.13 % (2921901)Instructions burned: 1 (million)
% 19.20/3.13 % (2921901)------------------------------
% 19.20/3.13 % (2921901)------------------------------
% 19.20/3.13 % (2921905)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 19.20/3.13 % (2921905)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=1670957162:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2976 on theBenchmark for (2976ds/39Mi)
% 19.20/3.13 % (2921902)Instruction limit reached!
% 19.20/3.13 % (2921902)------------------------------
% 19.20/3.13 % (2921902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.20/3.13 % (2921902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.20/3.14 % (2921902)CaDiCaL version: 2.1.3
% 19.20/3.14 % (2921902)Termination reason: Instruction limit
% 19.20/3.14 % (2921902)Termination phase: Saturation
% 19.20/3.14 % (2921902)Time elapsed: 0.041 s
% 19.20/3.14 % (2921902)Peak memory usage: 12 MB
% 19.20/3.14 % (2921902)Instructions burned: 180 (million)
% 19.20/3.14 % (2921905)Instruction limit reached!
% 19.20/3.14 % (2921905)------------------------------
% 19.20/3.14 % (2921905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.20/3.14 % (2921905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.20/3.14 % (2921905)CaDiCaL version: 2.1.3
% 19.20/3.14 % (2921905)Termination reason: Instruction limit
% 19.20/3.14 % (2921905)Termination phase: Saturation
% 19.20/3.14 % (2921905)Time elapsed: 0.020 s
% 19.20/3.14 % (2921905)Peak memory usage: 12 MB
% 19.20/3.14 % (2921905)Instructions burned: 39 (million)
% 19.20/3.14 % (2921907)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=639893612:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2975 on theBenchmark for (2975ds/708Mi)
% 19.20/3.14 % (2921908)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
% 20.77/3.21 % (2921908)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=3724134662:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/252Mi)
% 20.77/3.21 % (2921894)Instruction limit reached!
% 20.77/3.21 % (2921894)------------------------------
% 20.77/3.21 % (2921894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.21 % (2921894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.21 % (2921894)CaDiCaL version: 2.1.3
% 20.77/3.21 % (2921894)Termination reason: Instruction limit
% 20.77/3.21 % (2921894)Termination phase: Saturation
% 20.77/3.21 % (2921894)Time elapsed: 0.135 s
% 20.77/3.21 % (2921894)Peak memory usage: 12 MB
% 20.77/3.21 % (2921894)Instructions burned: 281 (million)
% 20.77/3.21 % (2921911)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=427482571:i=823:fsr=off:rtra=on_2975 on theBenchmark for (2975ds/823Mi)
% 20.77/3.21 % (2921908)Instruction limit reached!
% 20.77/3.21 % (2921908)------------------------------
% 20.77/3.21 % (2921908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.21 % (2921908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.21 % (2921908)CaDiCaL version: 2.1.3
% 20.77/3.21 % (2921908)Termination reason: Instruction limit
% 20.77/3.21 % (2921908)Termination phase: Saturation
% 20.77/3.21 % (2921908)Time elapsed: 0.095 s
% 20.77/3.21 % (2921908)Peak memory usage: 12 MB
% 20.77/3.21 % (2921908)Instructions burned: 254 (million)
% 20.77/3.21 % (2921907)Instruction limit reached!
% 20.77/3.21 % (2921907)------------------------------
% 20.77/3.21 % (2921907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.21 % (2921907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.21 % (2921907)CaDiCaL version: 2.1.3
% 20.77/3.21 % (2921907)Termination reason: Instruction limit
% 20.77/3.21 % (2921907)Termination phase: Saturation
% 20.77/3.21 % (2921907)Time elapsed: 0.125 s
% 20.77/3.21 % (2921907)Peak memory usage: 13 MB
% 20.77/3.21 % (2921907)Instructions burned: 709 (million)
% 20.77/3.21 % (2921913)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 20.77/3.21 % (2921913)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=2781285970:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/16202Mi)
% 20.77/3.21 % (2921913)Refutation not found, incomplete strategy
% 20.77/3.21 % (2921913)------------------------------
% 20.77/3.21 % (2921913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.21 % (2921913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.21 % (2921913)CaDiCaL version: 2.1.3
% 20.77/3.21 % (2921913)Termination reason: Refutation not found, incomplete strategy
% 20.77/3.21 % (2921913)Time elapsed: 0.001 s
% 20.77/3.21 % (2921913)Peak memory usage: 11 MB
% 20.77/3.21 % (2921913)Instructions burned: 1 (million)
% 20.77/3.21 % (2921913)------------------------------
% 20.77/3.21 % (2921913)------------------------------
% 20.77/3.21 % (2921914)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=563084273:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/300Mi)
% 20.77/3.21 % (2921916)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 20.77/3.21 % (2921916)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 20.77/3.21 % (2921916)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=2439970712:i=177:add=on:bd=preordered:rtra=on:rawr=on_2974 on theBenchmark for (2974ds/177Mi)
% 20.77/3.21 % (2921914)Instruction limit reached!
% 20.77/3.21 % (2921914)------------------------------
% 20.77/3.21 % (2921914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.77/3.21 % (2921914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.77/3.21 % (2921914)CaDiCaL version: 2.1.3
% 20.77/3.21 % (2921914)Termination reason: Instruction limit
% 21.10/3.34 % (2921914)Termination phase: Saturation
% 21.10/3.34 % (2921914)Time elapsed: 0.068 s
% 21.10/3.34 % (2921914)Peak memory usage: 12 MB
% 21.10/3.34 % (2921914)Instructions burned: 302 (million)
% 21.10/3.34 % (2921919)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2720468274:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/715Mi)
% 21.10/3.34 % (2921919)Refutation not found, incomplete strategy
% 21.10/3.34 % (2921919)------------------------------
% 21.10/3.34 % (2921919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.34 % (2921919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.34 % (2921919)CaDiCaL version: 2.1.3
% 21.10/3.34 % (2921919)Termination reason: Refutation not found, incomplete strategy
% 21.10/3.34 % (2921919)Time elapsed: 0.0000 s
% 21.10/3.34 % (2921919)Peak memory usage: 11 MB
% 21.10/3.34 % (2921919)Instructions burned: 1 (million)
% 21.10/3.34 % (2921919)------------------------------
% 21.10/3.34 % (2921919)------------------------------
% 21.10/3.34 % (2921921)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 21.10/3.34 % (2921921)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 21.10/3.34 % (2921921)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=4116539978:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2973 on theBenchmark for (2973ds/230Mi)
% 21.10/3.34 % (2921921)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 21.10/3.34 % (2921916)Instruction limit reached!
% 21.10/3.34 % (2921916)------------------------------
% 21.10/3.34 % (2921916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.34 % (2921916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.34 % (2921916)CaDiCaL version: 2.1.3
% 21.10/3.34 % (2921916)Termination reason: Instruction limit
% 21.10/3.34 % (2921916)Termination phase: Saturation
% 21.10/3.34 % (2921916)Time elapsed: 0.080 s
% 21.10/3.34 % (2921916)Peak memory usage: 12 MB
% 21.10/3.34 % (2921916)Instructions burned: 177 (million)
% 21.10/3.34 % (2921923)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3903063493:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2973 on theBenchmark for (2973ds/606Mi)
% 21.10/3.34 % (2921921)Instruction limit reached!
% 21.10/3.34 % (2921921)------------------------------
% 21.10/3.34 % (2921921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.34 % (2921921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.34 % (2921921)CaDiCaL version: 2.1.3
% 21.10/3.34 % (2921921)Termination reason: Instruction limit
% 21.10/3.34 % (2921921)Termination phase: Saturation
% 21.10/3.34 % (2921921)Time elapsed: 0.056 s
% 21.10/3.34 % (2921921)Peak memory usage: 12 MB
% 21.10/3.34 % (2921921)Instructions burned: 230 (million)
% 21.10/3.34 % (2921925)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 21.10/3.34 % (2921925)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=40060127:lrd=on:i=841:nm=0:rtra=on_2973 on theBenchmark for (2973ds/841Mi)
% 21.10/3.34 % (2921911)Instruction limit reached!
% 21.10/3.34 % (2921911)------------------------------
% 21.10/3.34 % (2921911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.34 % (2921911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.34 % (2921911)CaDiCaL version: 2.1.3
% 21.10/3.34 % (2921911)Termination reason: Instruction limit
% 21.10/3.34 % (2921911)Termination phase: Saturation
% 21.10/3.34 % (2921911)Time elapsed: 0.339 s
% 21.10/3.34 % (2921911)Peak memory usage: 13 MB
% 21.10/3.34 % (2921911)Instructions burned: 824 (million)
% 21.10/3.34 % (2921927)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3542229937:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2971 on theBenchmark for (2971ds/445Mi)
% 21.10/3.34 % (2921851)Instruction limit reached!
% 21.10/3.34 % (2921851)------------------------------
% 21.10/3.34 % (2921851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.34 % (2921851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.43 % (2921851)CaDiCaL version: 2.1.3
% 21.75/3.43 % (2921851)Termination reason: Instruction limit
% 21.75/3.43 % (2921851)Termination phase: Saturation
% 21.75/3.43 % (2921851)Time elapsed: 1.138 s
% 21.75/3.43 % (2921851)Peak memory usage: 17 MB
% 21.75/3.43 % (2921851)Instructions burned: 2241 (million)
% 21.75/3.43 % (2921929)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=304058961:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2971 on theBenchmark for (2971ds/71Mi)
% 21.75/3.43 % (2921925)Instruction limit reached!
% 21.75/3.43 % (2921925)------------------------------
% 21.75/3.43 % (2921925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.43 % (2921925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.43 % (2921925)CaDiCaL version: 2.1.3
% 21.75/3.43 % (2921925)Termination reason: Instruction limit
% 21.75/3.43 % (2921925)Termination phase: Saturation
% 21.75/3.43 % (2921925)Time elapsed: 0.201 s
% 21.75/3.43 % (2921925)Peak memory usage: 13 MB
% 21.75/3.43 % (2921925)Instructions burned: 845 (million)
% 21.75/3.43 % (2921931)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
% 21.75/3.43 % (2921931)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 21.75/3.43 % (2921931)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2847591409:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2970 on theBenchmark for (2970ds/100Mi)
% 21.75/3.43 % (2921929)Instruction limit reached!
% 21.75/3.43 % (2921929)------------------------------
% 21.75/3.43 % (2921929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.43 % (2921929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.43 % (2921929)CaDiCaL version: 2.1.3
% 21.75/3.43 % (2921929)Termination reason: Instruction limit
% 21.75/3.43 % (2921929)Termination phase: Saturation
% 21.75/3.43 % (2921929)Time elapsed: 0.038 s
% 21.75/3.43 % (2921929)Peak memory usage: 12 MB
% 21.75/3.43 % (2921929)Instructions burned: 72 (million)
% 21.75/3.43 % (2921931)Instruction limit reached!
% 21.75/3.43 % (2921931)------------------------------
% 21.75/3.43 % (2921931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.43 % (2921931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.43 % (2921931)CaDiCaL version: 2.1.3
% 21.75/3.43 % (2921931)Termination reason: Instruction limit
% 21.75/3.43 % (2921931)Termination phase: Saturation
% 21.75/3.43 % (2921931)Time elapsed: 0.021 s
% 21.75/3.43 % (2921931)Peak memory usage: 12 MB
% 21.75/3.43 % (2921931)Instructions burned: 101 (million)
% 21.75/3.43 % (2921923)Instruction limit reached!
% 21.75/3.43 % (2921923)------------------------------
% 21.75/3.43 % (2921923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.43 % (2921923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.43 % (2921923)CaDiCaL version: 2.1.3
% 21.75/3.43 % (2921923)Termination reason: Instruction limit
% 21.75/3.43 % (2921923)Termination phase: Saturation
% 21.75/3.43 % (2921923)Time elapsed: 0.275 s
% 21.75/3.43 % (2921923)Peak memory usage: 12 MB
% 21.75/3.43 % (2921923)Instructions burned: 606 (million)
% 21.75/3.43 % (2921933)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 21.75/3.43 % (2921933)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=2155647601:i=1352:add=on:aac=none:rtra=on_2970 on theBenchmark for (2970ds/1352Mi)
% 21.75/3.43 % (2921933)Refutation not found, incomplete strategy
% 21.75/3.43 % (2921933)------------------------------
% 21.75/3.43 % (2921933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.75/3.43 % (2921933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.75/3.43 % (2921933)CaDiCaL version: 2.1.3
% 21.75/3.43 % (2921933)Termination reason: Refutation not found, incomplete strategy
% 21.75/3.43 % (2921933)Time elapsed: 0.001 s
% 21.75/3.43 % (2921933)Peak memory usage: 11 MB
% 21.75/3.43 % (2921933)Instructions burned: 2 (million)
% 21.75/3.43 % (2921933)------------------------------
% 21.75/3.43 % (2921933)------------------------------
% 21.75/3.43 % (2921935)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=4170540184:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2970 on theBenchmark for (2970ds/1924Mi)
% 22.92/3.50 % (2921934)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=2621608806:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2970 on theBenchmark for (2970ds/646Mi)
% 22.92/3.50 % (2921935)Refutation not found, incomplete strategy
% 22.92/3.50 % (2921935)------------------------------
% 22.92/3.50 % (2921935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.92/3.50 % (2921935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/3.50 % (2921935)CaDiCaL version: 2.1.3
% 22.92/3.50 % (2921935)Termination reason: Refutation not found, incomplete strategy
% 22.92/3.50 % (2921935)Time elapsed: 0.0000 s
% 22.92/3.50 % (2921935)Peak memory usage: 11 MB
% 22.92/3.50 % (2921935)------------------------------
% 22.92/3.50 % (2921935)------------------------------
% 22.92/3.50 % (2921937)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3047668103:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2970 on theBenchmark for (2970ds/984Mi)
% 22.92/3.50 % (2921937)Refutation not found, incomplete strategy
% 22.92/3.50 % (2921937)------------------------------
% 22.92/3.50 % (2921937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.92/3.50 % (2921937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/3.50 % (2921937)CaDiCaL version: 2.1.3
% 22.92/3.50 % (2921937)Termination reason: Refutation not found, incomplete strategy
% 22.92/3.50 % (2921937)Time elapsed: 0.0000 s
% 22.92/3.50 % (2921937)Peak memory usage: 11 MB
% 22.92/3.50 % (2921937)Instructions burned: 1 (million)
% 22.92/3.50 % (2921937)------------------------------
% 22.92/3.50 % (2921937)------------------------------
% 22.92/3.50 % (2921942)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1332940528:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2970 on theBenchmark for (2970ds/872Mi)
% 22.92/3.50 % (2921942)Refutation not found, incomplete strategy
% 22.92/3.50 % (2921942)------------------------------
% 22.92/3.50 % (2921942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.92/3.50 % (2921942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/3.50 % (2921942)CaDiCaL version: 2.1.3
% 22.92/3.50 % (2921942)Termination reason: Refutation not found, incomplete strategy
% 22.92/3.50 % (2921942)Time elapsed: 0.0000 s
% 22.92/3.50 % (2921942)Peak memory usage: 11 MB
% 22.92/3.50 % (2921942)------------------------------
% 22.92/3.50 % (2921942)------------------------------
% 22.92/3.50 % (2921940)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=1617716089:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2970 on theBenchmark for (2970ds/592Mi)
% 22.92/3.50 % (2921944)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 22.92/3.50 % (2921944)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=1033113599:i=999:add=on:rtra=on_2970 on theBenchmark for (2970ds/999Mi)
% 22.92/3.50 % (2921927)Instruction limit reached!
% 22.92/3.50 % (2921927)------------------------------
% 22.92/3.50 % (2921927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.92/3.50 % (2921927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.92/3.50 % (2921927)CaDiCaL version: 2.1.3
% 22.92/3.50 % (2921927)Termination reason: Instruction limit
% 22.92/3.50 % (2921927)Termination phase: Saturation
% 22.92/3.50 % (2921927)Time elapsed: 0.224 s
% 22.92/3.50 % (2921927)Peak memory usage: 14 MB
% 22.92/3.50 % (2921927)Instructions burned: 445 (million)
% 22.92/3.50 % (2921947)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.92/3.50 % (2921947)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=1868522571:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2969 on theBenchmark for (2969ds/244Mi)
% 22.92/3.50 % (2921947)Refutation not found, incomplete strategy
% 22.92/3.50 % (2921947)------------------------------
% 22.92/3.50 % (2921947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.65/3.72 % (2921947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.65/3.72 % (2921947)CaDiCaL version: 2.1.3
% 23.65/3.72 % (2921947)Termination reason: Refutation not found, incomplete strategy
% 23.65/3.72 % (2921947)Time elapsed: 0.002 s
% 23.65/3.72 % (2921947)Peak memory usage: 11 MB
% 23.65/3.72 % (2921947)Instructions burned: 2 (million)
% 23.65/3.72 % (2921947)------------------------------
% 23.65/3.72 % (2921947)------------------------------
% 23.65/3.72 % (2921949)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=3705772305:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2969 on theBenchmark for (2969ds/113Mi)
% 23.65/3.72 % (2921949)Refutation not found, incomplete strategy
% 23.65/3.72 % (2921949)------------------------------
% 23.65/3.72 % (2921949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.65/3.72 % (2921949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.65/3.72 % (2921949)CaDiCaL version: 2.1.3
% 23.65/3.72 % (2921949)Termination reason: Refutation not found, incomplete strategy
% 23.65/3.72 % (2921949)Time elapsed: 0.001 s
% 23.65/3.72 % (2921949)Peak memory usage: 11 MB
% 23.65/3.72 % (2921949)Instructions burned: 1 (million)
% 23.65/3.72 % (2921949)------------------------------
% 23.65/3.72 % (2921949)------------------------------
% 23.65/3.72 % (2921951)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2867986858:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/7795Mi)
% 23.65/3.72 % (2921951)Refutation not found, incomplete strategy
% 23.65/3.72 % (2921951)------------------------------
% 23.65/3.72 % (2921951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.65/3.72 % (2921951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.65/3.72 % (2921951)CaDiCaL version: 2.1.3
% 23.65/3.72 % (2921951)Termination reason: Refutation not found, incomplete strategy
% 23.65/3.72 % (2921951)Time elapsed: 0.0000 s
% 23.65/3.72 % (2921951)Peak memory usage: 11 MB
% 23.65/3.72 % (2921951)------------------------------
% 23.65/3.72 % (2921951)------------------------------
% 23.65/3.72 % (2921953)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1448117692:st=2:i=5026:sd=1:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/5026Mi)
% 23.65/3.72 % (2921953)Refutation not found, incomplete strategy
% 23.65/3.72 % (2921953)------------------------------
% 23.65/3.72 % (2921953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.65/3.72 % (2921953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.65/3.72 % (2921953)CaDiCaL version: 2.1.3
% 23.65/3.72 % (2921953)Termination reason: Refutation not found, incomplete strategy
% 23.65/3.72 % (2921953)Time elapsed: 0.0000 s
% 23.65/3.72 % (2921953)Peak memory usage: 11 MB
% 23.65/3.72 % (2921953)------------------------------
% 23.65/3.72 % (2921953)------------------------------
% 23.65/3.72 % (2921955)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 23.65/3.72 % (2921955)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=2628723449:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2968 on theBenchmark for (2968ds/763Mi)
% 23.65/3.72 % (2921955)Refutation not found, incomplete strategy
% 23.65/3.72 % (2921955)------------------------------
% 23.65/3.72 % (2921955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.65/3.72 % (2921955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.65/3.72 % (2921955)CaDiCaL version: 2.1.3
% 23.65/3.72 % (2921955)Termination reason: Refutation not found, incomplete strategy
% 23.65/3.72 % (2921955)Time elapsed: 0.001 s
% 23.65/3.72 % (2921955)Peak memory usage: 11 MB
% 23.65/3.72 % (2921955)Instructions burned: 1 (million)
% 23.65/3.72 % (2921955)------------------------------
% 23.65/3.72 % (2921955)------------------------------
% 23.65/3.72 % (2921934)Instruction limit reached!
% 23.65/3.72 % (2921934)------------------------------
% 23.65/3.72 % (2921934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.65/3.72 % (2921934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.65/3.72 % (2921934)CaDiCaL version: 2.1.3
% 23.65/3.72 % (2921934)Termination reason: Instruction limit
% 23.65/3.72 % (2921934)Termination phase: Saturation
% 23.65/3.72 % (2921934)Time elapsed: 0.217 s
% 23.65/3.72 % (2921934)Peak memory usage: 14 MB
% 24.44/3.93 % (2921934)Instructions burned: 647 (million)
% 24.44/3.93 % (2921957)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=608564400:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/1144Mi)
% 24.44/3.93 % (2921958)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 24.44/3.93 % (2921957)Refutation not found, incomplete strategy
% 24.44/3.93 % (2921957)------------------------------
% 24.44/3.93 % (2921957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.44/3.93 % (2921957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.44/3.93 % (2921957)CaDiCaL version: 2.1.3
% 24.44/3.93 % (2921957)Termination reason: Refutation not found, incomplete strategy
% 24.44/3.93 % (2921957)Time elapsed: 0.0000 s
% 24.44/3.93 % (2921957)Peak memory usage: 12 MB
% 24.44/3.93 % (2921957)------------------------------
% 24.44/3.93 % (2921957)------------------------------
% 24.44/3.93 % (2921958)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=640803336:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2968 on theBenchmark for (2968ds/52Mi)
% 24.44/3.93 % (2921944)Instruction limit reached!
% 24.44/3.93 % (2921944)------------------------------
% 24.44/3.93 % (2921944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.44/3.93 % (2921944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.44/3.93 % (2921944)CaDiCaL version: 2.1.3
% 24.44/3.93 % (2921944)Termination reason: Instruction limit
% 24.44/3.93 % (2921944)Termination phase: Saturation
% 24.44/3.93 % (2921944)Time elapsed: 0.222 s
% 24.44/3.93 % (2921944)Peak memory usage: 14 MB
% 24.44/3.93 % (2921944)Instructions burned: 1002 (million)
% 24.44/3.93 % (2921960)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=2235128659:i=1724:fsr=off:rtra=on:fe=abstraction_2968 on theBenchmark for (2968ds/1724Mi)
% 24.44/3.93 % (2921958)Instruction limit reached!
% 24.44/3.93 % (2921958)------------------------------
% 24.44/3.93 % (2921958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.44/3.93 % (2921958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.44/3.93 % (2921958)CaDiCaL version: 2.1.3
% 24.44/3.93 % (2921958)Termination reason: Instruction limit
% 24.44/3.93 % (2921958)Termination phase: Saturation
% 24.44/3.93 % (2921958)Time elapsed: 0.021 s
% 24.44/3.93 % (2921958)Peak memory usage: 12 MB
% 24.44/3.93 % (2921958)Instructions burned: 53 (million)
% 24.44/3.93 % (2921962)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=2028371527:i=439:add=on:slsql=off:rtra=on:ntd=on_2967 on theBenchmark for (2967ds/439Mi)
% 24.44/3.93 % (2921940)Instruction limit reached!
% 24.44/3.93 % (2921940)------------------------------
% 24.44/3.93 % (2921940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.44/3.93 % (2921940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.44/3.93 % (2921940)CaDiCaL version: 2.1.3
% 24.44/3.93 % (2921940)Termination reason: Instruction limit
% 24.44/3.93 % (2921940)Termination phase: Saturation
% 24.44/3.93 % (2921940)Time elapsed: 0.254 s
% 24.44/3.93 % (2921940)Peak memory usage: 12 MB
% 24.44/3.93 % (2921940)Instructions burned: 592 (million)
% 24.44/3.93 % (2921965)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=4106962387:i=6395:sd=1:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/6395Mi)
% 24.44/3.93 % (2921965)Refutation not found, incomplete strategy
% 24.44/3.93 % (2921965)------------------------------
% 24.44/3.93 % (2921965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.44/3.93 % (2921965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.44/3.93 % (2921965)CaDiCaL version: 2.1.3
% 24.44/3.93 % (2921965)Termination reason: Refutation not found, incomplete strategy
% 24.44/3.93 % (2921965)Time elapsed: 0.001 s
% 24.44/3.93 % (2921965)Peak memory usage: 11 MB
% 24.44/3.93 % (2921965)------------------------------
% 24.44/3.93 % (2921965)------------------------------
% 24.44/3.93 % (2921966)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 24.44/3.93 % (2921966)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=3211305787:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2967 on theBenchmark for (2967ds/6762Mi)
% 26.76/4.13 % (2921968)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 26.76/4.13 % (2921966)Refutation not found, incomplete strategy
% 26.76/4.13 % (2921966)------------------------------
% 26.76/4.13 % (2921966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.76/4.13 % (2921966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.76/4.13 % (2921966)CaDiCaL version: 2.1.3
% 26.76/4.13 % (2921966)Termination reason: Refutation not found, incomplete strategy
% 26.76/4.13 % (2921966)Time elapsed: 0.0000 s
% 26.76/4.13 % (2921966)Peak memory usage: 11 MB
% 26.76/4.13 % (2921966)------------------------------
% 26.76/4.13 % (2921966)------------------------------
% 26.76/4.13 % (2921968)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=1452527319:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2967 on theBenchmark for (2967ds/376Mi)
% 26.76/4.13 % (2921970)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=2222726461:i=965:bd=all:ins=4:rtra=on_2967 on theBenchmark for (2967ds/965Mi)
% 26.76/4.13 % (2921962)Instruction limit reached!
% 26.76/4.13 % (2921962)------------------------------
% 26.76/4.13 % (2921962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.76/4.13 % (2921962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.76/4.13 % (2921962)CaDiCaL version: 2.1.3
% 26.76/4.13 % (2921962)Termination reason: Instruction limit
% 26.76/4.13 % (2921962)Termination phase: Saturation
% 26.76/4.13 % (2921962)Time elapsed: 0.081 s
% 26.76/4.13 % (2921962)Peak memory usage: 12 MB
% 26.76/4.13 % (2921962)Instructions burned: 444 (million)
% 26.76/4.13 % (2921973)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1232416793:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2967 on theBenchmark for (2967ds/5013Mi)
% 26.76/4.13 % (2921973)Refutation not found, incomplete strategy
% 26.76/4.13 % (2921973)------------------------------
% 26.76/4.13 % (2921973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.76/4.13 % (2921973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.76/4.13 % (2921973)CaDiCaL version: 2.1.3
% 26.76/4.13 % (2921973)Termination reason: Refutation not found, incomplete strategy
% 26.76/4.13 % (2921973)Time elapsed: 0.0000 s
% 26.76/4.13 % (2921973)Peak memory usage: 11 MB
% 26.76/4.13 % (2921973)------------------------------
% 26.76/4.13 % (2921973)------------------------------
% 26.76/4.13 % (2921975)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3514943655:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2966 on theBenchmark for (2966ds/1583Mi)
% 26.76/4.13 % (2921968)Instruction limit reached!
% 26.76/4.13 % (2921968)------------------------------
% 26.76/4.13 % (2921968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.76/4.13 % (2921968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.76/4.13 % (2921968)CaDiCaL version: 2.1.3
% 26.76/4.13 % (2921968)Termination reason: Instruction limit
% 26.76/4.13 % (2921968)Termination phase: Saturation
% 26.76/4.13 % (2921968)Time elapsed: 0.194 s
% 26.76/4.13 % (2921968)Peak memory usage: 14 MB
% 26.76/4.13 % (2921968)Instructions burned: 376 (million)
% 26.76/4.13 % (2921977)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 26.76/4.13 % (2921977)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 26.76/4.13 % (2921977)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
% 26.76/4.13 % (2921977)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 26.76/4.13 % (2921977)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=2125589563: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_2965 on theBenchmark for (2965ds/1774Mi)
% 26.76/4.13 % (2921977)Refutation not found, incomplete strategy
% 26.76/4.13 % (2921977)------------------------------
% 26.76/4.13 % (2921977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.76/4.13 % (2921977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.76/4.13 % (2921977)CaDiCaL version: 2.1.3
% 26.76/4.13 % (2921977)Termination reason: Refutation not found, incomplete strategy
% 26.76/4.13 % (2921977)Time elapsed: 0.001 s
% 26.76/4.13 % (2921977)Peak memory usage: 11 MB
% 26.76/4.13 % (2921977)------------------------------
% 26.76/4.13 % (2921977)------------------------------
% 26.76/4.13 % (2921979)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2985583065:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/515Mi)
% 26.76/4.13 % (2921979)Refutation not found, incomplete strategy
% 26.76/4.13 % (2921979)------------------------------
% 26.76/4.13 % (2921979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.76/4.13 % (2921979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.76/4.13 % (2921979)CaDiCaL version: 2.1.3
% 26.76/4.13 % (2921979)Termination reason: Refutation not found, incomplete strategy
% 26.76/4.13 % (2921979)Time elapsed: 0.001 s
% 26.76/4.13 % (2921979)Peak memory usage: 12 MB
% 26.76/4.13 % (2921979)------------------------------
% 26.76/4.13 % (2921979)------------------------------
% 26.76/4.13 % (2921981)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
% 26.76/4.13 % (2921981)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=2377023010:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2965 on theBenchmark for (2965ds/1297Mi)
% 26.76/4.13 % (2921713)Instruction limit reached!
% 26.76/4.13 % (2921713)------------------------------
% 26.76/4.13 % (2921713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.76/4.13 % (2921713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.76/4.13 % (2921713)CaDiCaL version: 2.1.3
% 26.76/4.13 % (2921713)Termination reason: Instruction limit
% 26.76/4.13 % (2921713)Termination phase: Saturation
% 26.76/4.13 % (2921713)Time elapsed: 2.960 s
% 26.76/4.13 % (2921713)Peak memory usage: 15 MB
% 26.76/4.13 % (2921713)Instructions burned: 9842 (million)
% 26.76/4.13 % (2921983)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=3456435716:s2a=on:i=611:rtra=on:gsp=on_2964 on theBenchmark for (2964ds/611Mi)
% 26.76/4.13 % (2921983)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 26.76/4.13 % (2921970)Instruction limit reached!
% 26.76/4.13 % (2921970)------------------------------
% 26.76/4.13 % (2921970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.76/4.13 % (2921970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.76/4.13 % (2921970)CaDiCaL version: 2.1.3
% 26.76/4.13 % (2921970)Termination reason: Instruction limit
% 26.76/4.13 % (2921970)Termination phase: Saturation
% 26.76/4.13 % (2921970)Time elapsed: 0.388 s
% 26.76/4.13 % (2921970)Peak memory usage: 15 MB
% 26.76/4.13 % (2921970)Instructions burned: 966 (million)
% 26.76/4.13 % (2921975)Instruction limit reached!
% 26.76/4.13 % (2921975)------------------------------
% 26.76/4.13 % (2921975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.76/4.13 % (2921975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.76/4.13 % (2921975)CaDiCaL version: 2.1.3
% 26.76/4.13 % (2921975)Termination reason: Instruction limit
% 26.76/4.13 % (2921975)Termination phase: Saturation
% 26.76/4.13 % (2921975)Time elapsed: 0.354 s
% 26.76/4.13 % (2921975)Peak memory usage: 13 MB
% 26.76/4.13 % (2921975)Instructions burned: 1587 (million)
% 26.76/4.13 % (2921985)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 26.76/4.13 % (2921985)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3917762927:i=72:bd=all:rtra=on_2963 on theBenchmark for (2963ds/72Mi)
% 26.76/4.13 % (2921985)Refutation not found, incomplete strategy
% 26.76/4.13 % (2921985)------------------------------
% 26.76/4.13 % (2921985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.76/4.13 % (2921985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.76/4.13 % (2921985)CaDiCaL version: 2.1.3
% 26.76/4.13 % (2921985)Termination reason: Refutation not found, incomplete strategy
% 26.76/4.13 % (2921985)Time elapsed: 0.001 s
% 26.76/4.13 % (2921985)Peak memory usage: 11 MB
% 26.76/4.13 % (2921985)Instructions burned: 1 (million)
% 26.76/4.13 % (2921985)------------------------------
% 26.76/4.13 % (2921985)------------------------------
% 26.76/4.13 % (2921986)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=2642521959:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2963 on theBenchmark for (2963ds/6580Mi)
% 26.76/4.13 % (2921988)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=335344824:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2963 on theBenchmark for (2963ds/6209Mi)
% 26.76/4.13 % (2921988)Refutation not found, incomplete strategy
% 26.76/4.13 % (2921988)------------------------------
% 26.76/4.13 % (2921988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.76/4.13 % (2921988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.76/4.13 % (2921988)CaDiCaL version: 2.1.3
% 26.76/4.13 % (2921988)Termination reason: Refutation not found, incomplete strategy
% 26.76/4.13 % (2921988)Time elapsed: 0.001 s
% 26.76/4.13 % (2921988)Peak memory usage: 11 MB
% 26.76/4.13 % (2921988)------------------------------
% 26.76/4.13 % (2921988)------------------------------
% 26.76/4.13 % (2921991)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=2341840602:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2962 on theBenchmark for (2962ds/1003Mi)
% 26.76/4.13 % (2921862) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2921542-2921862"...
% 26.76/4.13 % (2921983)Instruction limit reached!
% 26.76/4.13 % (2921983)------------------------------
% 26.76/4.13 % (2921983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.76/4.13 % (2921983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.76/4.13 % (2921983)CaDiCaL version: 2.1.3
% 26.76/4.13 % (2921983)Termination reason: Instruction limit
% 26.76/4.13 % (2921983)Termination phase: Saturation
% 26.76/4.13 % (2921983)Time elapsed: 0.229 s
% 26.76/4.13 % (2921983)Peak memory usage: 13 MB
% 26.76/4.13 % (2921983)Instructions burned: 611 (million)
% 26.76/4.13 % (2921993)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 26.76/4.13 % (2921993)ott+1002_16_sil=128000:si=on:random_seed=2808382895:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2961 on theBenchmark for (2961ds/409Mi)
% 26.76/4.13 % (2921862)...printing done.
% 26.76/4.13 % (2921862)Refutation found. Thanks to Tanya!
% 26.76/4.13 % SZS status Unsatisfiable for theBenchmark
% 26.76/4.13 % SZS output start Proof for theBenchmark
% See solution above
% 27.52/4.19 % (2921862)------------------------------
% 27.52/4.19 % (2921862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.52/4.19 % (2921862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.52/4.19 % (2921862)CaDiCaL version: 2.1.3
% 27.52/4.19 % (2921862)Termination reason: Refutation
% 27.52/4.19 % (2921862)Time elapsed: 1.966 s
% 27.52/4.19 % (2921862)Peak memory usage: 20 MB
% 27.52/4.19 % (2921862)Instructions burned: 3868 (million)
% 27.52/4.19 % (2921542)Success in time 3.922 s
% 27.52/4.19 % Vampire exiting
%------------------------------------------------------------------------------