%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA146^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:58:40 AM UTC 2026
% Result : Unsatisfiable 28.85s 4.73s
% Output : Refutation 28.85s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( b @ X0 @ X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X2: $i,X1: $i,X0: $i,X3: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X1 @ X4 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X3 @ X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f8,plain,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
inference(rectify,[],[f3]) ).
thf(f9,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f8]) ).
thf(f10,plain,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
inference(rectify,[],[f4]) ).
thf(f11,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(fool_elimination,[],[f10]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X1 @ X4 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X2 @ X3 )
| ~ ( b @ X3 @ X4 ) ),
inference(rectify,[],[f7]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( b @ X1 @ X0 )
| ( r @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( b @ X1 @ X0 ) ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X2 @ X1 )
| ~ ( r @ X0 @ X3 )
| ~ ( r @ X1 @ X0 )
| ~ ( r @ X2 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X0 @ X3 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f9]) ).
thf(f19,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(flattening,[],[f11]) ).
thf(f20,plain,
! [X0: $i,X1: $i,X4: $i,X3: $i,X2: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X0 @ X2 )
!= $true ) ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f22,plain,
! [X0: $i,X3: $i,X1: $i,X2: $i] :
( ( ( r @ X0 @ X3 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true )
| ( ( r @ X3 @ X2 )
!= $true )
| ( $true
!= ( r @ X3 @ X0 ) ) ),
inference(rectify,[],[f22]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X0 @ X4 ) ) ),
inference(rectify,[],[f20]) ).
thf(f25,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f26,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f27,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f28,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X3 @ X0 ) )
| ( ( r @ X3 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true )
| ( ( r @ X2 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X4 @ X3 ) )
| ( $true
!= ( b @ X0 @ X4 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f31,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 )
| ( $true
= ( r @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f34,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f31,f25]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ),
inference(extensionality_resolution,[],[f31,f25]) ).
thf(f36,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true ) ),
inference(extensionality_resolution,[],[f31,f26]) ).
thf(f39,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X3 @ X0 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( X0 = X1 )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f31]) ).
thf(f40,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X3 @ X0 ) )
| ( X0 = X1 )
| ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X2 @ X0 )
!= $true )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X1 @ X4 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f39]) ).
thf(f41,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(constrained_superposition,[],[f29,f34]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(trivial_inequality_removal,[],[f41]) ).
thf(f45,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(constrained_superposition,[],[f42,f35]) ).
thf(f46,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ z @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) ) ),
inference(constrained_superposition,[],[f29,f35]) ).
thf(f47,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ z @ X3 ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f46]) ).
thf(f48,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(duplicate_literal_removal,[],[f45]) ).
thf(f49,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f48]) ).
thf(f51,definition,
( spl0_1
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f52,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f51]) ).
thf(f54,definition,
( spl0_2
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f55,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f54]) ).
thf(f56,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f49,f54,f51]) ).
thf(f74,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( X0 = X1 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f36,f26]) ).
thf(f76,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f36,f25]) ).
thf(f77,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f36,f25]) ).
thf(f99,definition,
( spl0_3
<=> ! [X2: $i] :
( ( r @ z @ X2 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f100,plain,
( ! [X2: $i] :
( ( r @ z @ X2 )
!= $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f99]) ).
thf(f106,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f47,f76]) ).
thf(f109,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f29,f76]) ).
thf(f110,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) ),
inference(trivial_inequality_removal,[],[f106]) ).
thf(f114,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X3 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f109]) ).
thf(f116,definition,
( spl0_5
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
thf(f117,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f116]) ).
thf(f119,definition,
( spl0_6
<=> ( $true
= ( r @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
thf(f120,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f119]) ).
thf(f121,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f110,f119,f116]) ).
thf(f124,definition,
( spl0_7
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f125,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f124]) ).
thf(f129,definition,
( spl0_8
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f130,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f129]) ).
thf(f135,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f114,f34]) ).
thf(f139,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ z ) ) ),
inference(trivial_inequality_removal,[],[f135]) ).
thf(f142,definition,
( spl0_9
<=> ! [X2: $i,X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
thf(f143,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ z ) ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f142]) ).
thf(f145,definition,
( spl0_10
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
thf(f146,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f145]) ).
thf(f154,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f42,f77]) ).
thf(f160,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) ) ),
inference(constrained_superposition,[],[f29,f77]) ).
thf(f161,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f160]) ).
thf(f167,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f154]) ).
thf(f170,definition,
( spl0_11
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f171,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f170]) ).
thf(f173,definition,
( spl0_12
<=> ( $true
= ( b @ ( s @ z ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f174,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| spl0_12 ),
inference(avatar_component_clause,[],[f173]) ).
thf(f188,definition,
( spl0_16
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f189,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f188]) ).
thf(f191,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_12 ),
inference(constrained_superposition,[],[f174,f35]) ).
thf(f194,plain,
( ( $true
= ( r @ ( s @ z ) @ z ) )
| spl0_12 ),
inference(trivial_inequality_removal,[],[f191]) ).
thf(f378,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(extensionality_resolution,[],[f74,f25]) ).
thf(f379,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(extensionality_resolution,[],[f74,f25]) ).
thf(f380,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,[],[f74,f26]) ).
thf(f446,definition,
( spl0_17
<=> ! [X1: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f447,plain,
( ! [X1: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ X1 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f446]) ).
thf(f449,definition,
( spl0_18
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f450,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f449]) ).
thf(f461,definition,
( spl0_21
<=> ( ( r @ z @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f462,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f461]) ).
thf(f464,definition,
( spl0_22
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
thf(f465,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f464]) ).
thf(f466,plain,
( spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f167,f464,f461]) ).
thf(f468,definition,
( spl0_23
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
thf(f469,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f468]) ).
thf(f542,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f194,f173,f119]) ).
thf(f546,definition,
( spl0_26
<=> ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
thf(f547,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f546]) ).
thf(f549,definition,
( spl0_27
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ z ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f550,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f549]) ).
thf(f583,definition,
( spl0_28
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f584,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f583]) ).
thf(f586,definition,
( spl0_29
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f587,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f586]) ).
thf(f610,definition,
( spl0_30
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f611,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_30 ),
inference(avatar_component_clause,[],[f610]) ).
thf(f613,definition,
( spl0_31
<=> ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
thf(f614,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f613]) ).
thf(f616,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_30 ),
inference(constrained_superposition,[],[f611,f34]) ).
thf(f619,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| spl0_30 ),
inference(trivial_inequality_removal,[],[f616]) ).
thf(f621,plain,
( spl0_21
| spl0_30 ),
inference(avatar_split_clause,[],[f619,f610,f461]) ).
thf(f627,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f161,f76]) ).
thf(f632,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(duplicate_literal_removal,[],[f627]) ).
thf(f633,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f632]) ).
thf(f637,definition,
( spl0_32
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f638,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f637]) ).
thf(f639,plain,
( spl0_16
| spl0_32 ),
inference(avatar_split_clause,[],[f633,f637,f188]) ).
thf(f645,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ z @ X2 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f28,f52]) ).
thf(f646,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ z @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f645]) ).
thf(f649,definition,
( spl0_34
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f650,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f649]) ).
thf(f651,plain,
( spl0_3
| spl0_34
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f646,f51,f649,f99]) ).
thf(f652,plain,
( ( $true != $true )
| ~ spl0_3
| ~ spl0_21 ),
inference(constrained_superposition,[],[f100,f462]) ).
thf(f653,plain,
( $false
| ~ spl0_3
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f652]) ).
thf(f654,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f653]) ).
thf(f662,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_16 ),
inference(constrained_superposition,[],[f28,f189]) ).
thf(f665,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) ) )
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f662]) ).
thf(f667,definition,
( spl0_35
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f668,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f667]) ).
thf(f669,plain,
( spl0_35
| spl0_27
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f665,f188,f549,f667]) ).
thf(f681,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f161,f378]) ).
thf(f685,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) ),
inference(constrained_superposition,[],[f114,f378]) ).
thf(f686,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(constrained_superposition,[],[f47,f378]) ).
thf(f687,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X3 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f378]) ).
thf(f689,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f685]) ).
thf(f690,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f686]) ).
thf(f691,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X3 ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f687]) ).
thf(f694,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f681]) ).
thf(f699,definition,
( spl0_37
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f700,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f699]) ).
thf(f703,definition,
( spl0_38
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f704,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f703]) ).
thf(f706,definition,
( spl0_39
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f707,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f706]) ).
thf(f708,plain,
( spl0_38
| spl0_39 ),
inference(avatar_split_clause,[],[f689,f706,f703]) ).
thf(f710,definition,
( spl0_40
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
thf(f711,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f710]) ).
thf(f713,definition,
( spl0_41
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f714,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f713]) ).
thf(f715,plain,
( spl0_40
| spl0_41 ),
inference(avatar_split_clause,[],[f690,f713,f710]) ).
thf(f722,definition,
( spl0_43
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
thf(f723,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f722]) ).
thf(f725,definition,
( spl0_44
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
thf(f726,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f725]) ).
thf(f727,plain,
( spl0_43
| spl0_44 ),
inference(avatar_split_clause,[],[f694,f725,f722]) ).
thf(f729,definition,
( spl0_45
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
thf(f730,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f729]) ).
thf(f732,definition,
( spl0_46
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f733,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f732]) ).
thf(f735,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f139,f100]) ).
thf(f736,plain,
( spl0_10
| spl0_9
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f735,f99,f142,f145]) ).
thf(f737,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_18 ),
inference(constrained_superposition,[],[f450,f52]) ).
thf(f739,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_16
| ~ spl0_18 ),
inference(constrained_superposition,[],[f450,f189]) ).
thf(f740,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f739]) ).
thf(f742,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f737]) ).
thf(f743,plain,
( spl0_37
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f740,f449,f188,f699]) ).
thf(f744,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f742,f100]) ).
thf(f745,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f744]) ).
thf(f746,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f146,f77]) ).
thf(f751,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f746]) ).
thf(f771,definition,
( spl0_48
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
thf(f772,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f771]) ).
thf(f792,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_10 ),
inference(constrained_superposition,[],[f751,f34]) ).
thf(f794,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f792]) ).
thf(f796,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f794,f100]) ).
thf(f798,plain,
( spl0_28
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f796,f145,f99,f583]) ).
thf(f830,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f730,f31]) ).
thf(f838,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f830]) ).
thf(f871,definition,
( spl0_52
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
thf(f872,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f871]) ).
thf(f874,definition,
( spl0_53
<=> ( $true
= ( b @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f875,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_53 ),
inference(avatar_component_clause,[],[f874]) ).
thf(f886,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_53 ),
inference(constrained_superposition,[],[f875,f31]) ).
thf(f887,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_53 ),
inference(trivial_inequality_removal,[],[f886]) ).
thf(f889,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_3
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f887,f100]) ).
thf(f892,plain,
( $false
| ~ spl0_3
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f889,f25]) ).
thf(f893,plain,
( ~ spl0_3
| spl0_53 ),
inference(avatar_contradiction_clause,[],[f892]) ).
thf(f908,definition,
( spl0_56
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
thf(f909,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f908]) ).
thf(f926,plain,
( ( $true != $true )
| ~ spl0_6
| ~ spl0_27 ),
inference(constrained_superposition,[],[f550,f120]) ).
thf(f927,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_1
| ~ spl0_27 ),
inference(constrained_superposition,[],[f550,f52]) ).
thf(f932,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_1
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f927]) ).
thf(f934,plain,
( $false
| ~ spl0_6
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f926]) ).
thf(f935,plain,
( ~ spl0_6
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f934]) ).
thf(f936,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f932,f100]) ).
thf(f937,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f936]) ).
thf(f951,definition,
( spl0_58
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
thf(f952,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_58 ),
inference(avatar_component_clause,[],[f951]) ).
thf(f955,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_58 ),
inference(constrained_superposition,[],[f952,f77]) ).
thf(f959,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_58 ),
inference(trivial_inequality_removal,[],[f955]) ).
thf(f962,definition,
( spl0_59
<=> ( ( s @ ( s @ z ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
thf(f963,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f962]) ).
thf(f965,plain,
( spl0_37
| spl0_58 ),
inference(avatar_split_clause,[],[f959,f951,f699]) ).
thf(f970,definition,
( spl0_60
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
thf(f971,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f970]) ).
thf(f992,definition,
( spl0_61
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
thf(f993,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f992]) ).
thf(f997,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_61 ),
inference(constrained_superposition,[],[f993,f74]) ).
thf(f1000,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f997]) ).
thf(f1006,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f872,f34]) ).
thf(f1012,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f1006]) ).
thf(f1013,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f1012,f100]) ).
thf(f1014,plain,
( ~ spl0_53
| spl0_46
| ~ spl0_3
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f1013,f871,f99,f732,f874]) ).
thf(f1018,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f28,f733]) ).
thf(f1021,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1018]) ).
thf(f1024,definition,
( spl0_62
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
thf(f1025,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f1024]) ).
thf(f1026,plain,
( spl0_18
| spl0_62
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1021,f732,f1024,f449]) ).
thf(f1031,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_62 ),
inference(constrained_superposition,[],[f1025,f189]) ).
thf(f1035,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_16
| ~ spl0_62 ),
inference(trivial_inequality_removal,[],[f1031]) ).
thf(f1054,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_16
| ~ spl0_61 ),
inference(constrained_superposition,[],[f1000,f189]) ).
thf(f1055,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_16
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f1054]) ).
thf(f1059,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_16
| ~ spl0_22
| ~ spl0_61 ),
inference(constrained_superposition,[],[f465,f1055]) ).
thf(f1073,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_22
| ~ spl0_61 ),
inference(duplicate_literal_removal,[],[f1059]) ).
thf(f1074,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_16
| ~ spl0_22
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f1073]) ).
thf(f1083,definition,
( spl0_64
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
thf(f1084,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f1083]) ).
thf(f1086,definition,
( spl0_65
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
thf(f1087,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f1086]) ).
thf(f1089,definition,
( spl0_66
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
thf(f1090,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_66 ),
inference(avatar_component_clause,[],[f1089]) ).
thf(f1091,plain,
( spl0_64
| spl0_65
| ~ spl0_66
| ~ spl0_16
| ~ spl0_22
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f1074,f992,f464,f188,f1089,f1086,f1083]) ).
thf(f1092,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_66 ),
inference(constrained_superposition,[],[f1090,f35]) ).
thf(f1094,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_66 ),
inference(trivial_inequality_removal,[],[f1092]) ).
thf(f1152,definition,
( spl0_68
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
thf(f1153,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_68 ),
inference(avatar_component_clause,[],[f1152]) ).
thf(f1155,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_68 ),
inference(constrained_superposition,[],[f1153,f76]) ).
thf(f1159,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_68 ),
inference(trivial_inequality_removal,[],[f1155]) ).
thf(f1178,definition,
( spl0_69
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
thf(f1179,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f1178]) ).
thf(f1185,definition,
( spl0_71
<=> ! [X1: $i] :
( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f1186,plain,
( ! [X1: $i] :
( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f1185]) ).
thf(f1191,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_16
| ~ spl0_61
| ~ spl0_69 ),
inference(constrained_superposition,[],[f1179,f1055]) ).
thf(f1197,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_16
| ~ spl0_61
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f1191]) ).
thf(f1201,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_16
| ~ spl0_61
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f1197,f77]) ).
thf(f1202,plain,
( spl0_64
| ~ spl0_16
| ~ spl0_61
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f1201,f1178,f992,f188,f1083]) ).
thf(f1266,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_37 ),
inference(avatar_component_clause,[],[f699]) ).
thf(f1393,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f161,f379]) ).
thf(f1405,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ X3 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f29,f379]) ).
thf(f1410,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1405]) ).
thf(f1412,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f1393]) ).
thf(f1422,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true ) )
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f1412,f1266]) ).
thf(f1428,definition,
( spl0_78
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
thf(f1429,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f1428]) ).
thf(f1431,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_61
| ~ spl0_78 ),
inference(constrained_superposition,[],[f993,f1429]) ).
thf(f1438,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_61
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f1431]) ).
thf(f1443,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_16
| ~ spl0_61
| ~ spl0_78 ),
inference(constrained_superposition,[],[f1438,f189]) ).
thf(f1445,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_16
| ~ spl0_61
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f1443]) ).
thf(f1488,plain,
( spl0_48
| ~ spl0_16
| ~ spl0_61
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1445,f1428,f992,f188,f771]) ).
thf(f1494,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_43 ),
inference(constrained_superposition,[],[f723,f34]) ).
thf(f1498,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_43 ),
inference(trivial_inequality_removal,[],[f1494]) ).
thf(f1504,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_3
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f1498,f100]) ).
thf(f1505,plain,
( ~ spl0_30
| spl0_29
| ~ spl0_3
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1504,f722,f99,f586,f610]) ).
thf(f1521,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| spl0_37 ),
inference(constrained_superposition,[],[f1422,f34]) ).
thf(f1531,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| spl0_37 ),
inference(trivial_inequality_removal,[],[f1521]) ).
thf(f1534,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_3
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f1531,f100]) ).
thf(f1535,plain,
( spl0_78
| ~ spl0_30
| spl0_29
| ~ spl0_3
| spl0_37 ),
inference(avatar_split_clause,[],[f1534,f699,f99,f586,f610,f1428]) ).
thf(f1539,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f587,f76]) ).
thf(f1540,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1539]) ).
thf(f1544,plain,
( spl0_7
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1540,f586,f124]) ).
thf(f1545,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f125,f35]) ).
thf(f1547,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f1545]) ).
thf(f1549,plain,
( spl0_8
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1547,f124,f129]) ).
thf(f1551,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_40 ),
inference(constrained_superposition,[],[f711,f378]) ).
thf(f1557,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_40 ),
inference(duplicate_literal_removal,[],[f1551]) ).
thf(f1558,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1557]) ).
thf(f1562,plain,
( spl0_52
| ~ spl0_53
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1558,f710,f874,f871]) ).
thf(f1567,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f704,f378]) ).
thf(f1575,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_38 ),
inference(duplicate_literal_removal,[],[f1567]) ).
thf(f1576,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f1575]) ).
thf(f1578,plain,
( ~ spl0_58
| spl0_52
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f1576,f703,f871,f951]) ).
thf(f1579,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f1410,f378]) ).
thf(f1587,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(duplicate_literal_removal,[],[f1579]) ).
thf(f1588,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f1587]) ).
thf(f1598,definition,
( spl0_82
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
thf(f1599,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f1598]) ).
thf(f1601,definition,
( spl0_83
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f1602,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f1601]) ).
thf(f1603,plain,
( spl0_82
| spl0_83 ),
inference(avatar_split_clause,[],[f1588,f1601,f1598]) ).
thf(f1605,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f1599,f34]) ).
thf(f1613,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f1605]) ).
thf(f1615,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_3
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f1613,f100]) ).
thf(f1619,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_82 ),
inference(constrained_superposition,[],[f1615,f378]) ).
thf(f1620,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_82 ),
inference(constrained_superposition,[],[f1615,f77]) ).
thf(f1622,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f1620]) ).
thf(f1624,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f1619]) ).
thf(f1629,definition,
( spl0_84
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
thf(f1630,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f1629]) ).
thf(f1633,definition,
( spl0_85
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
thf(f1634,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X2 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f1633]) ).
thf(f1635,plain,
( spl0_37
| spl0_85 ),
inference(avatar_split_clause,[],[f1412,f1633,f699]) ).
thf(f1636,plain,
( spl0_48
| ~ spl0_37
| ~ spl0_16
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f1035,f1024,f188,f699,f771]) ).
thf(f1637,plain,
( ~ spl0_30
| spl0_37
| ~ spl0_3
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1622,f1598,f99,f699,f610]) ).
thf(f1641,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_60 ),
inference(constrained_superposition,[],[f971,f74]) ).
thf(f1646,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f1641]) ).
thf(f1647,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_82 ),
inference(constrained_superposition,[],[f1624,f34]) ).
thf(f1649,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f1647]) ).
thf(f1651,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f1649,f100]) ).
thf(f1653,plain,
( spl0_46
| ~ spl0_3
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1651,f1598,f99,f732]) ).
thf(f1695,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(constrained_superposition,[],[f691,f34]) ).
thf(f1704,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f1695]) ).
thf(f1707,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ z @ X2 ) ) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1704,f100]) ).
thf(f1713,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f1707,f77]) ).
thf(f1716,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f1713]) ).
thf(f1722,plain,
( spl0_69
| spl0_44
| ~ spl0_30
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1716,f99,f610,f725,f1178]) ).
thf(f1890,definition,
( spl0_87
<=> ! [X1: $i] :
( ( s @ X1 )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
thf(f1891,plain,
( ! [X1: $i] :
( ( s @ X1 )
= ( s @ z ) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f1890]) ).
thf(f1973,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f28,f130]) ).
thf(f1979,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f1973]) ).
thf(f1983,definition,
( spl0_98
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
thf(f1984,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f1983]) ).
thf(f1985,plain,
( spl0_98
| spl0_27
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1979,f129,f549,f1983]) ).
thf(f2027,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_35
| ~ spl0_44 ),
inference(constrained_superposition,[],[f668,f726]) ).
thf(f2030,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_44 ),
inference(constrained_superposition,[],[f28,f726]) ).
thf(f2032,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_35
| ~ spl0_44 ),
inference(duplicate_literal_removal,[],[f2027]) ).
thf(f2033,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_35
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f2032]) ).
thf(f2034,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_44 ),
inference(trivial_inequality_removal,[],[f2030]) ).
thf(f2035,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_35
| ~ spl0_39
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f2033,f707]) ).
thf(f2037,definition,
( spl0_99
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
thf(f2038,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f2037]) ).
thf(f2039,plain,
( spl0_99
| spl0_18
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f2034,f725,f449,f2037]) ).
thf(f2040,plain,
( spl0_48
| ~ spl0_35
| ~ spl0_39
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f2035,f725,f706,f667,f771]) ).
thf(f2041,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= z )
| ( $true != $true ) )
| ~ spl0_48
| ~ spl0_60 ),
inference(constrained_superposition,[],[f1646,f772]) ).
thf(f2043,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_48
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f2041]) ).
thf(f2045,plain,
( ! [X0: $i] :
( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_48
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f2043,f25]) ).
thf(f2046,plain,
( spl0_17
| ~ spl0_48
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f2045,f970,f771,f446]) ).
thf(f2055,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f587,f36]) ).
thf(f2058,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f2055]) ).
thf(f2077,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_98 ),
inference(constrained_superposition,[],[f1984,f74]) ).
thf(f2084,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X1 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) )
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f2077]) ).
thf(f2150,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f2058,f35]) ).
thf(f2153,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f2150]) ).
thf(f2155,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= z )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_29
| ~ spl0_61 ),
inference(constrained_superposition,[],[f1000,f2153]) ).
thf(f2166,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_29
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f2155]) ).
thf(f2178,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_29
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f2166,f25]) ).
thf(f2271,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 ) )
| ~ spl0_29
| ~ spl0_61 ),
inference(constrained_superposition,[],[f47,f2178]) ).
thf(f2273,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( z = X0 )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29
| ~ spl0_61 ),
inference(duplicate_literal_removal,[],[f2271]) ).
thf(f2274,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( z = X0 )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_29
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f2273]) ).
thf(f2288,definition,
( spl0_103
<=> ! [X2: $i,X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
thf(f2289,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f2288]) ).
thf(f2291,definition,
( spl0_104
<=> ! [X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
thf(f2292,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f2291]) ).
thf(f2293,plain,
( spl0_103
| spl0_104
| ~ spl0_29
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f2274,f992,f586,f2291,f2288]) ).
thf(f2386,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_83 ),
inference(constrained_superposition,[],[f28,f1602]) ).
thf(f2389,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_83 ),
inference(trivial_inequality_removal,[],[f2386]) ).
thf(f2397,definition,
( spl0_105
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
thf(f2398,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f2397]) ).
thf(f2399,plain,
( spl0_18
| spl0_105
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2389,f1601,f2397,f449]) ).
thf(f2437,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_103 ),
inference(constrained_superposition,[],[f2289,f34]) ).
thf(f2442,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f2437]) ).
thf(f2447,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_3
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f2442,f100]) ).
thf(f2448,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_3
| ~ spl0_103 ),
inference(constrained_superposition,[],[f2447,f34]) ).
thf(f2450,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_3
| ~ spl0_103 ),
inference(trivial_inequality_removal,[],[f2448]) ).
thf(f2827,definition,
( spl0_113
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
thf(f2828,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f2827]) ).
thf(f2869,definition,
( spl0_123
<=> ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
thf(f2870,plain,
( ! [X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X1 ) ) @ z ) )
| ( z = X1 ) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f2869]) ).
thf(f3013,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f838,f31]) ).
thf(f3014,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f838,f35]) ).
thf(f3015,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( s @ ( s @ z ) )
= X1 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f3013]) ).
thf(f3016,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X1 ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f3014]) ).
thf(f3180,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( z = X0 )
| ( z = X1 )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X1 @ z ) )
| ( $true != $true ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f3015,f31]) ).
thf(f3182,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( z = X1 )
| ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f3180]) ).
thf(f3214,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(extensionality_resolution,[],[f380,f25]) ).
thf(f3251,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_45 ),
inference(constrained_superposition,[],[f3182,f76]) ).
thf(f3260,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f3251]) ).
thf(f3290,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_98 ),
inference(extensionality_resolution,[],[f2084,f25]) ).
thf(f3297,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_39
| ~ spl0_98 ),
inference(constrained_superposition,[],[f2084,f707]) ).
thf(f3305,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_39
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f3297]) ).
thf(f3823,definition,
( spl0_146
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f3824,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f3823]) ).
thf(f4296,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
inference(constrained_superposition,[],[f114,f3214]) ).
thf(f4299,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f47,f3214]) ).
thf(f4302,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X2 @ X3 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X3 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f3214]) ).
thf(f4306,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ X2 @ X3 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f4302]) ).
thf(f4307,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f4299]) ).
thf(f4318,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f4296]) ).
thf(f4328,definition,
( spl0_150
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
thf(f4329,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f4328]) ).
thf(f4335,definition,
( spl0_152
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f4336,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_152 ),
inference(avatar_component_clause,[],[f4335]) ).
thf(f4338,definition,
( spl0_153
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f4339,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_153 ),
inference(avatar_component_clause,[],[f4338]) ).
thf(f4346,definition,
( spl0_155
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
thf(f4347,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f4346]) ).
thf(f4349,definition,
( spl0_156
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f4350,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f4349]) ).
thf(f4351,plain,
( spl0_155
| spl0_156 ),
inference(avatar_split_clause,[],[f4318,f4349,f4346]) ).
thf(f4353,definition,
( spl0_157
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
thf(f4354,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f4353]) ).
thf(f4364,definition,
( spl0_160
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f4365,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f4364]) ).
thf(f4371,definition,
( spl0_162
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
thf(f4372,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f4371]) ).
thf(f4374,definition,
( spl0_163
<=> ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ z ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
thf(f4375,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f4374]) ).
thf(f4398,definition,
( spl0_164
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_164])],[avatar_definition]) ).
thf(f4399,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_164 ),
inference(avatar_component_clause,[],[f4398]) ).
thf(f4403,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_153 ),
inference(constrained_superposition,[],[f4339,f76]) ).
thf(f4405,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_153 ),
inference(constrained_superposition,[],[f4339,f31]) ).
thf(f4406,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_153 ),
inference(trivial_inequality_removal,[],[f4403]) ).
thf(f4407,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_153 ),
inference(trivial_inequality_removal,[],[f4405]) ).
thf(f4409,plain,
( spl0_155
| spl0_153 ),
inference(avatar_split_clause,[],[f4406,f4338,f4346]) ).
thf(f4411,definition,
( spl0_165
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_165])],[avatar_definition]) ).
thf(f4412,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_165 ),
inference(avatar_component_clause,[],[f4411]) ).
thf(f4413,plain,
( spl0_155
| spl0_165
| spl0_153 ),
inference(avatar_split_clause,[],[f4407,f4338,f4411,f4346]) ).
thf(f4437,definition,
( spl0_166
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_166])],[avatar_definition]) ).
thf(f4438,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_166 ),
inference(avatar_component_clause,[],[f4437]) ).
thf(f4440,definition,
( spl0_167
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_167])],[avatar_definition]) ).
thf(f4441,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ~ spl0_167 ),
inference(avatar_component_clause,[],[f4440]) ).
thf(f4474,definition,
( spl0_168
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
thf(f4475,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f4474]) ).
thf(f4482,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_152 ),
inference(constrained_superposition,[],[f4336,f31]) ).
thf(f4487,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_152 ),
inference(trivial_inequality_removal,[],[f4482]) ).
thf(f4492,definition,
( spl0_169
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
thf(f4493,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f4492]) ).
thf(f4494,plain,
( spl0_169
| spl0_150
| spl0_152 ),
inference(avatar_split_clause,[],[f4487,f4335,f4328,f4492]) ).
thf(f4598,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f4375,f77]) ).
thf(f4607,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f4598]) ).
thf(f4647,definition,
( spl0_171
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
thf(f4648,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_171 ),
inference(avatar_component_clause,[],[f4647]) ).
thf(f4650,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_171 ),
inference(constrained_superposition,[],[f4648,f379]) ).
thf(f4657,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_171 ),
inference(constrained_superposition,[],[f4648,f31]) ).
thf(f4658,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_171 ),
inference(trivial_inequality_removal,[],[f4650]) ).
thf(f4665,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_171 ),
inference(trivial_inequality_removal,[],[f4657]) ).
thf(f4666,plain,
( spl0_157
| spl0_171 ),
inference(avatar_split_clause,[],[f4658,f4647,f4353]) ).
thf(f4668,plain,
( spl0_157
| spl0_169
| spl0_171 ),
inference(avatar_split_clause,[],[f4665,f4647,f4492,f4353]) ).
thf(f4677,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_167 ),
inference(constrained_superposition,[],[f4441,f52]) ).
thf(f4681,plain,
( ( $true != $true )
| ~ spl0_150
| ~ spl0_167 ),
inference(constrained_superposition,[],[f4441,f4329]) ).
thf(f4719,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f4677]) ).
thf(f4723,plain,
( $false
| ~ spl0_150
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f4681]) ).
thf(f4724,plain,
( ~ spl0_150
| ~ spl0_167 ),
inference(avatar_contradiction_clause,[],[f4723]) ).
thf(f4740,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[],[f4719,f100]) ).
thf(f4741,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_167 ),
inference(avatar_contradiction_clause,[],[f4740]) ).
thf(f4792,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_48
| ~ spl0_166 ),
inference(constrained_superposition,[],[f4438,f772]) ).
thf(f4795,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_48
| ~ spl0_166 ),
inference(trivial_inequality_removal,[],[f4792]) ).
thf(f4800,plain,
( $false
| ~ spl0_39
| ~ spl0_48
| ~ spl0_166 ),
inference(forward_subsumption_resolution,[],[f4795,f707]) ).
thf(f4801,plain,
( ~ spl0_39
| ~ spl0_48
| ~ spl0_166 ),
inference(avatar_contradiction_clause,[],[f4800]) ).
thf(f4832,definition,
( spl0_173
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
thf(f4833,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_173 ),
inference(avatar_component_clause,[],[f4832]) ).
thf(f4934,definition,
( spl0_175
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f4935,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f4934]) ).
thf(f4954,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_83
| ~ spl0_164 ),
inference(constrained_superposition,[],[f4399,f1602]) ).
thf(f4972,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_83
| ~ spl0_164 ),
inference(trivial_inequality_removal,[],[f4954]) ).
thf(f5003,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_39
| ~ spl0_83
| ~ spl0_164 ),
inference(forward_subsumption_resolution,[],[f4972,f707]) ).
thf(f5007,plain,
( spl0_157
| ~ spl0_39
| ~ spl0_83
| ~ spl0_164 ),
inference(avatar_split_clause,[],[f5003,f4398,f1601,f706,f4353]) ).
thf(f5009,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f4935,f34]) ).
thf(f5025,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f5009]) ).
thf(f5034,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_175 ),
inference(forward_subsumption_resolution,[],[f5025,f100]) ).
thf(f5035,plain,
( ~ spl0_53
| ~ spl0_3
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f5034,f4934,f99,f874]) ).
thf(f5036,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f4350,f3214]) ).
thf(f5049,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_156 ),
inference(duplicate_literal_removal,[],[f5036]) ).
thf(f5050,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f5049]) ).
thf(f5089,definition,
( spl0_178
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
thf(f5090,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f5089]) ).
thf(f5097,definition,
( spl0_180
<=> ! [X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_180])],[avatar_definition]) ).
thf(f5098,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_180 ),
inference(avatar_component_clause,[],[f5097]) ).
thf(f5399,definition,
( spl0_181
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
thf(f5400,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X1 ) ) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f5399]) ).
thf(f5413,definition,
( spl0_185
<=> ! [X1: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_185])],[avatar_definition]) ).
thf(f5414,plain,
( ! [X1: $i] :
( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f5413]) ).
thf(f5420,definition,
( spl0_187
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_187])],[avatar_definition]) ).
thf(f5421,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f5420]) ).
thf(f5427,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_185 ),
inference(constrained_superposition,[],[f5414,f76]) ).
thf(f5443,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_185 ),
inference(trivial_inequality_removal,[],[f5427]) ).
thf(f5446,plain,
( spl0_155
| ~ spl0_185 ),
inference(avatar_split_clause,[],[f5443,f5413,f4346]) ).
thf(f5448,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f5400,f378]) ).
thf(f5459,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f5448]) ).
thf(f5844,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_169 ),
inference(constrained_superposition,[],[f379,f4493]) ).
thf(f6082,definition,
( spl0_196
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
thf(f6083,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f6082]) ).
thf(f6087,definition,
( spl0_197
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_197])],[avatar_definition]) ).
thf(f6088,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_197 ),
inference(avatar_component_clause,[],[f6087]) ).
thf(f6115,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_169 ),
inference(forward_subsumption_resolution,[],[f5844,f27]) ).
thf(f6121,definition,
( spl0_202
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_202])],[avatar_definition]) ).
thf(f6122,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_202 ),
inference(avatar_component_clause,[],[f6121]) ).
thf(f6124,definition,
( spl0_203
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_203])],[avatar_definition]) ).
thf(f6125,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f6124]) ).
thf(f6137,definition,
( spl0_206
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_206])],[avatar_definition]) ).
thf(f6138,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f6137]) ).
thf(f6145,definition,
( spl0_207
<=> ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_207])],[avatar_definition]) ).
thf(f6146,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f6145]) ).
thf(f6148,definition,
( spl0_208
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
thf(f6149,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f6148]) ).
thf(f6172,plain,
( $false
| ~ spl0_169 ),
inference(forward_subsumption_resolution,[],[f6115,f30]) ).
thf(f6173,plain,
~ spl0_169,
inference(avatar_contradiction_clause,[],[f6172]) ).
thf(f6174,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_155 ),
inference(avatar_component_clause,[],[f4346]) ).
thf(f6175,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f4647]) ).
thf(f6194,plain,
( ~ spl0_58
| spl0_150
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f5459,f5399,f4328,f951]) ).
thf(f6273,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_3
| ~ spl0_171 ),
inference(constrained_superposition,[],[f1707,f6175]) ).
thf(f6303,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_171 ),
inference(duplicate_literal_removal,[],[f6273]) ).
thf(f6304,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f6303]) ).
thf(f6313,plain,
( spl0_71
| ~ spl0_53
| spl0_150
| ~ spl0_3
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f6304,f4647,f99,f4328,f874,f1185]) ).
thf(f6655,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_87 ),
inference(constrained_superposition,[],[f76,f1891]) ).
thf(f7083,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f6655,f30]) ).
thf(f7119,plain,
( $false
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f7083,f27]) ).
thf(f7120,plain,
~ spl0_87,
inference(avatar_contradiction_clause,[],[f7119]) ).
thf(f7129,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_39
| ~ spl0_65
| ~ spl0_98 ),
inference(constrained_superposition,[],[f1087,f3305]) ).
thf(f7139,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_39
| ~ spl0_65
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f7129]) ).
thf(f7147,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_64 ),
inference(constrained_superposition,[],[f28,f1084]) ).
thf(f7148,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f7147]) ).
thf(f8398,definition,
( spl0_219
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
thf(f8399,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f8398]) ).
thf(f8462,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_59 ),
inference(constrained_superposition,[],[f76,f963]) ).
thf(f8718,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f8462,f27]) ).
thf(f8741,plain,
( $false
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f8718,f30]) ).
thf(f8742,plain,
~ spl0_59,
inference(avatar_contradiction_clause,[],[f8741]) ).
thf(f9192,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f8399,f76]) ).
thf(f9195,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f9192]) ).
thf(f9204,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( z = X0 )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true ) )
| ~ spl0_219 ),
inference(constrained_superposition,[],[f9195,f34]) ).
thf(f9235,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f9204]) ).
thf(f9261,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_3
| ~ spl0_219 ),
inference(forward_subsumption_resolution,[],[f9235,f100]) ).
thf(f9270,definition,
( spl0_226
<=> ! [X0: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).
thf(f9271,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f9270]) ).
thf(f9272,plain,
( ~ spl0_30
| spl0_226
| ~ spl0_3
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f9261,f8398,f99,f9270,f610]) ).
thf(f9273,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_61
| ~ spl0_226 ),
inference(constrained_superposition,[],[f1000,f9271]) ).
thf(f9289,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f28,f9271]) ).
thf(f9295,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f9289]) ).
thf(f9297,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_61
| ~ spl0_226 ),
inference(duplicate_literal_removal,[],[f9273]) ).
thf(f9298,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 ) )
| ~ spl0_61
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f9297]) ).
thf(f9310,definition,
( spl0_227
<=> ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f9311,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_227 ),
inference(avatar_component_clause,[],[f9310]) ).
thf(f9312,plain,
( spl0_227
| spl0_27
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f9295,f9270,f549,f9310]) ).
thf(f9329,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_3
| ~ spl0_61
| ~ spl0_226 ),
inference(constrained_superposition,[],[f1707,f9298]) ).
thf(f9363,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_61
| ~ spl0_226 ),
inference(duplicate_literal_removal,[],[f9329]) ).
thf(f9364,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= z )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_3
| ~ spl0_61
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f9363]) ).
thf(f9374,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_61
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f9364,f25]) ).
thf(f9381,definition,
( spl0_229
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_229])],[avatar_definition]) ).
thf(f9382,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_229 ),
inference(avatar_component_clause,[],[f9381]) ).
thf(f9383,plain,
( ~ spl0_53
| spl0_71
| spl0_229
| ~ spl0_3
| ~ spl0_61
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f9374,f9270,f992,f99,f9381,f1185,f874]) ).
thf(f9513,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= z )
| ( $true != $true ) )
| ~ spl0_227
| ~ spl0_229 ),
inference(constrained_superposition,[],[f9311,f9382]) ).
thf(f9563,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= z ) )
| ~ spl0_227
| ~ spl0_229 ),
inference(duplicate_literal_removal,[],[f9513]) ).
thf(f9564,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= z )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_227
| ~ spl0_229 ),
inference(trivial_inequality_removal,[],[f9563]) ).
thf(f9571,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= z )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_39
| ~ spl0_227
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f9564,f707]) ).
thf(f9573,plain,
( ! [X0: $i] :
( ( s @ X0 )
= ( s @ z ) )
| ~ spl0_39
| ~ spl0_227
| ~ spl0_229 ),
inference(forward_subsumption_resolution,[],[f9571,f25]) ).
thf(f9574,plain,
( spl0_87
| ~ spl0_39
| ~ spl0_227
| ~ spl0_229 ),
inference(avatar_split_clause,[],[f9573,f9381,f9310,f706,f1890]) ).
thf(f9580,definition,
( spl0_231
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
thf(f9581,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_231 ),
inference(avatar_component_clause,[],[f9580]) ).
thf(f9639,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_39
| ~ spl0_65
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f7139,f35]) ).
thf(f9641,definition,
( spl0_238
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
thf(f9642,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_238 ),
inference(avatar_component_clause,[],[f9641]) ).
thf(f9655,definition,
( spl0_241
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).
thf(f9656,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_241 ),
inference(avatar_component_clause,[],[f9655]) ).
thf(f9697,definition,
( spl0_249
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_249])],[avatar_definition]) ).
thf(f9698,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ X1 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f9697]) ).
thf(f9699,plain,
( spl0_238
| spl0_249 ),
inference(avatar_split_clause,[],[f4307,f9697,f9641]) ).
thf(f9704,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_3
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f2450,f100]) ).
thf(f9754,plain,
( spl0_123
| ~ spl0_39
| ~ spl0_65
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f9639,f1983,f1086,f706,f2869]) ).
thf(f9770,plain,
( spl0_123
| ~ spl0_3
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f9704,f2288,f99,f2869]) ).
thf(f9811,plain,
( ( $true != $true )
| ~ spl0_18
| ~ spl0_41 ),
inference(constrained_superposition,[],[f450,f714]) ).
thf(f9815,plain,
( ( $true != $true )
| ~ spl0_18
| ~ spl0_39 ),
inference(constrained_superposition,[],[f450,f707]) ).
thf(f9822,plain,
( $false
| ~ spl0_18
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f9811]) ).
thf(f9823,plain,
( ~ spl0_18
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f9822]) ).
thf(f9830,plain,
( $false
| ~ spl0_18
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f9815]) ).
thf(f9831,plain,
( ~ spl0_18
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f9830]) ).
thf(f9863,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_241 ),
inference(constrained_superposition,[],[f9656,f31]) ).
thf(f9865,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_241 ),
inference(trivial_inequality_removal,[],[f9863]) ).
thf(f9868,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_241 ),
inference(forward_subsumption_resolution,[],[f9865,f25]) ).
thf(f9869,plain,
( $false
| ~ spl0_3
| spl0_241 ),
inference(forward_subsumption_resolution,[],[f9868,f100]) ).
thf(f9870,plain,
( ~ spl0_3
| spl0_241 ),
inference(avatar_contradiction_clause,[],[f9869]) ).
thf(f9871,plain,
( $false
| ~ spl0_167
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f9642,f4441]) ).
thf(f9872,plain,
( ~ spl0_167
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f9871]) ).
thf(f9903,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f28,f1429]) ).
thf(f9905,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f9903]) ).
thf(f9912,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( z = X0 )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f55,f31]) ).
thf(f9913,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f55,f35]) ).
thf(f9914,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f9912]) ).
thf(f9915,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f9913]) ).
thf(f9916,plain,
( spl0_146
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f9915,f54,f3823]) ).
thf(f9919,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f3824,f36]) ).
thf(f9936,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f9919]) ).
thf(f10012,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_249 ),
inference(constrained_superposition,[],[f9698,f3214]) ).
thf(f10027,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_249 ),
inference(duplicate_literal_removal,[],[f10012]) ).
thf(f10028,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) )
| ~ spl0_249 ),
inference(trivial_inequality_removal,[],[f10027]) ).
thf(f10035,definition,
( spl0_265
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f10036,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f10035]) ).
thf(f10037,plain,
( ~ spl0_241
| spl0_265
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f10028,f9697,f10035,f9655]) ).
thf(f10041,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_265 ),
inference(constrained_superposition,[],[f10036,f34]) ).
thf(f10050,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f10041]) ).
thf(f10056,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f10050,f100]) ).
thf(f10057,plain,
( spl0_162
| ~ spl0_241
| ~ spl0_3
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f10056,f10035,f99,f9655,f4371]) ).
thf(f10059,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_78
| ~ spl0_162 ),
inference(constrained_superposition,[],[f9905,f4372]) ).
thf(f10073,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_78
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f10059]) ).
thf(f10461,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_48
| ~ spl0_78
| ~ spl0_162 ),
inference(constrained_superposition,[],[f10073,f772]) ).
thf(f10480,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_48
| ~ spl0_78
| ~ spl0_162 ),
inference(trivial_inequality_removal,[],[f10461]) ).
thf(f10490,plain,
( $false
| ~ spl0_39
| ~ spl0_48
| ~ spl0_78
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f10480,f707]) ).
thf(f10491,plain,
( ~ spl0_39
| ~ spl0_48
| ~ spl0_78
| ~ spl0_162 ),
inference(avatar_contradiction_clause,[],[f10490]) ).
thf(f10501,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_78
| ~ spl0_238 ),
inference(constrained_superposition,[],[f9905,f9642]) ).
thf(f10512,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_78
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f10501]) ).
thf(f10518,plain,
( spl0_166
| ~ spl0_78
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f10512,f9641,f1428,f4437]) ).
thf(f10520,definition,
( spl0_269
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
thf(f10521,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f10520]) ).
thf(f10531,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f587,f36]) ).
thf(f10535,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f10531]) ).
thf(f10784,definition,
( spl0_270
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_270])],[avatar_definition]) ).
thf(f10785,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_270 ),
inference(avatar_component_clause,[],[f10784]) ).
thf(f10794,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_85 ),
inference(constrained_superposition,[],[f1634,f379]) ).
thf(f10801,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_85 ),
inference(duplicate_literal_removal,[],[f10794]) ).
thf(f10802,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_85 ),
inference(trivial_inequality_removal,[],[f10801]) ).
thf(f10812,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_64
| ~ spl0_123 ),
inference(constrained_superposition,[],[f7148,f2870]) ).
thf(f10825,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_64
| ~ spl0_123 ),
inference(duplicate_literal_removal,[],[f10812]) ).
thf(f10826,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( z = X0 ) )
| ~ spl0_64
| ~ spl0_123 ),
inference(trivial_inequality_removal,[],[f10825]) ).
thf(f10831,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( X0 = X1 )
| ( z = X1 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_64
| ~ spl0_123 ),
inference(constrained_superposition,[],[f10826,f74]) ).
thf(f10845,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 )
| ( z = X1 ) )
| ~ spl0_64
| ~ spl0_123 ),
inference(trivial_inequality_removal,[],[f10831]) ).
thf(f10948,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_29 ),
inference(constrained_superposition,[],[f10535,f35]) ).
thf(f10951,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f10948]) ).
thf(f11101,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ z ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( z = X1 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f9914,f31]) ).
thf(f11104,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X1 @ z ) )
| ( z = X1 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f11101]) ).
thf(f11107,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z
= ( s @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f11104,f76]) ).
thf(f11110,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f11104,f378]) ).
thf(f11116,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f11104,f77]) ).
thf(f11120,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f11116]) ).
thf(f11122,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f11107]) ).
thf(f11130,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f11110]) ).
thf(f11993,definition,
( spl0_275
<=> ! [X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f11994,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f11993]) ).
thf(f12000,definition,
( spl0_277
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
thf(f12001,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f12000]) ).
thf(f12008,definition,
( spl0_279
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
thf(f12009,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_279 ),
inference(avatar_component_clause,[],[f12008]) ).
thf(f12032,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_197 ),
inference(avatar_component_clause,[],[f6087]) ).
thf(f12034,definition,
( spl0_284
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).
thf(f12035,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f12034]) ).
thf(f12064,definition,
( spl0_285
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
thf(f12065,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_285 ),
inference(avatar_component_clause,[],[f12064]) ).
thf(f12105,definition,
( spl0_291
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_291])],[avatar_definition]) ).
thf(f12106,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_291 ),
inference(avatar_component_clause,[],[f12105]) ).
thf(f12114,definition,
( spl0_293
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_293])],[avatar_definition]) ).
thf(f12115,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_293 ),
inference(avatar_component_clause,[],[f12114]) ).
thf(f12122,definition,
( spl0_294
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f12123,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f12122]) ).
thf(f12223,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_146 ),
inference(constrained_superposition,[],[f9936,f35]) ).
thf(f12225,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ X1 ) )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ z ) )
| ( X0 = X1 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f12223]) ).
thf(f12340,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true != $true ) )
| ~ spl0_270 ),
inference(constrained_superposition,[],[f28,f10785]) ).
thf(f12358,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true ) )
| ~ spl0_270 ),
inference(trivial_inequality_removal,[],[f12340]) ).
thf(f12369,definition,
( spl0_298
<=> ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
thf(f12370,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f12369]) ).
thf(f12371,plain,
( spl0_18
| spl0_298
| ~ spl0_270 ),
inference(avatar_split_clause,[],[f12358,f10784,f12369,f449]) ).
thf(f12567,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( z = X0 )
| ( X0 = X1 )
| ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( z = X1 ) )
| ~ spl0_64
| ~ spl0_123 ),
inference(constrained_superposition,[],[f10845,f1084]) ).
thf(f12582,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( z = X1 )
| ( z = X0 )
| ( X0 = X1 ) )
| ~ spl0_64
| ~ spl0_123 ),
inference(trivial_inequality_removal,[],[f12567]) ).
thf(f12616,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_64
| ~ spl0_123
| ~ spl0_231 ),
inference(constrained_superposition,[],[f9581,f12582]) ).
thf(f12650,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_64
| ~ spl0_123
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f12616]) ).
thf(f12667,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_64
| ~ spl0_123
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[],[f12650,f25]) ).
thf(f12671,plain,
( spl0_219
| ~ spl0_64
| ~ spl0_123
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f12667,f9580,f2869,f1083,f8398]) ).
thf(f12675,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f638,f76]) ).
thf(f12679,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f12675]) ).
thf(f12690,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f12679,f34]) ).
thf(f12704,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f12690]) ).
thf(f12710,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f12704,f100]) ).
thf(f12712,definition,
( spl0_299
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).
thf(f12713,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f12712]) ).
thf(f12714,plain,
( spl0_299
| ~ spl0_30
| ~ spl0_3
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f12710,f637,f99,f610,f12712]) ).
thf(f12717,plain,
( ( $true != $true )
| spl0_155
| ~ spl0_299 ),
inference(constrained_superposition,[],[f6174,f12713]) ).
thf(f12744,plain,
( $false
| spl0_155
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f12717]) ).
thf(f12745,plain,
( spl0_155
| ~ spl0_299 ),
inference(avatar_contradiction_clause,[],[f12744]) ).
thf(f12757,definition,
( spl0_300
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f12758,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_300 ),
inference(avatar_component_clause,[],[f12757]) ).
thf(f12763,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_123
| ~ spl0_167 ),
inference(constrained_superposition,[],[f4441,f2870]) ).
thf(f12792,plain,
( ( z
= ( s @ z ) )
| ~ spl0_123
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f12763]) ).
thf(f12810,plain,
( $false
| ~ spl0_123
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[],[f12792,f25]) ).
thf(f12811,plain,
( ~ spl0_123
| ~ spl0_167 ),
inference(avatar_contradiction_clause,[],[f12810]) ).
thf(f12819,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f1186,f379]) ).
thf(f12827,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f12819]) ).
thf(f12829,plain,
( spl0_78
| ~ spl0_71 ),
inference(avatar_split_clause,[],[f12827,f1185,f1428]) ).
thf(f12841,definition,
( spl0_305
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_305])],[avatar_definition]) ).
thf(f12842,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_305 ),
inference(avatar_component_clause,[],[f12841]) ).
thf(f12874,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_61
| ~ spl0_157 ),
inference(constrained_superposition,[],[f993,f4354]) ).
thf(f12886,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_61
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f12874]) ).
thf(f12890,plain,
( $false
| ~ spl0_61
| ~ spl0_157
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f12886,f12713]) ).
thf(f12891,plain,
( ~ spl0_61
| ~ spl0_157
| ~ spl0_299 ),
inference(avatar_contradiction_clause,[],[f12890]) ).
thf(f12954,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f11120,f25]) ).
thf(f12955,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_3
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f614,f100]) ).
thf(f12971,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f12954,f25]) ).
thf(f12974,plain,
( spl0_6
| spl0_11
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f12971,f54,f170,f119]) ).
thf(f12983,plain,
( ( $true != $true )
| ~ spl0_27
| ~ spl0_305 ),
inference(constrained_superposition,[],[f550,f12842]) ).
thf(f12984,plain,
( ( $true != $true )
| ~ spl0_27
| ~ spl0_37 ),
inference(constrained_superposition,[],[f550,f700]) ).
thf(f12988,plain,
( $false
| ~ spl0_27
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f12983]) ).
thf(f12989,plain,
( ~ spl0_27
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[],[f12988]) ).
thf(f12996,plain,
( $false
| ~ spl0_27
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f12984]) ).
thf(f12997,plain,
( ~ spl0_27
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f12996]) ).
thf(f13001,plain,
( spl0_265
| ~ spl0_173
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f5050,f4349,f4832,f10035]) ).
thf(f13002,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_61
| ~ spl0_155 ),
inference(constrained_superposition,[],[f1000,f4347]) ).
thf(f13013,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_61
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f13002]) ).
thf(f13016,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_61
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f13013,f25]) ).
thf(f13017,plain,
( spl0_171
| ~ spl0_61
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f13016,f4346,f992,f4647]) ).
thf(f13028,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_61
| ~ spl0_157 ),
inference(constrained_superposition,[],[f993,f4354]) ).
thf(f13039,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_61
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f13028]) ).
thf(f13547,plain,
( ~ spl0_155
| ~ spl0_61
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f13039,f4353,f992,f4346]) ).
thf(f13720,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_31 ),
inference(constrained_superposition,[],[f12955,f76]) ).
thf(f13735,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_31 ),
inference(duplicate_literal_removal,[],[f13720]) ).
thf(f13736,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f13735]) ).
thf(f13746,plain,
( ~ spl0_30
| spl0_299
| ~ spl0_3
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f13736,f613,f99,f12712,f610]) ).
thf(f13756,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_299 ),
inference(constrained_superposition,[],[f28,f12713]) ).
thf(f13765,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X2 ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f13756]) ).
thf(f13768,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_231 ),
inference(constrained_superposition,[],[f9581,f34]) ).
thf(f13777,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f13768]) ).
thf(f14106,definition,
( spl0_319
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_319])],[avatar_definition]) ).
thf(f14107,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f14106]) ).
thf(f14114,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f1087,f77]) ).
thf(f14119,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f14114]) ).
thf(f14122,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_27
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f14119,f550]) ).
thf(f14123,plain,
( ~ spl0_12
| ~ spl0_27
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f14122,f1086,f549,f173]) ).
thf(f14125,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_319 ),
inference(constrained_superposition,[],[f14107,f34]) ).
thf(f14131,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f14125]) ).
thf(f14136,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_3
| ~ spl0_319 ),
inference(forward_subsumption_resolution,[],[f14131,f100]) ).
thf(f14137,plain,
( ~ spl0_30
| ~ spl0_3
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f14136,f14106,f99,f610]) ).
thf(f14161,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_69
| ~ spl0_171 ),
inference(constrained_superposition,[],[f1179,f6175]) ).
thf(f14171,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_69
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f14161]) ).
thf(f14172,plain,
( ~ spl0_173
| ~ spl0_69
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f14171,f4647,f1178,f4832]) ).
thf(f14174,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_27
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f726,f550]) ).
thf(f14175,plain,
( spl0_46
| ~ spl0_27
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f14174,f725,f549,f732]) ).
thf(f14188,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f28,f733]) ).
thf(f14195,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f14188]) ).
thf(f14202,plain,
( spl0_62
| spl0_18
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f14195,f732,f449,f1024]) ).
thf(f14271,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ~ spl0_11
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f171,f550]) ).
thf(f14272,plain,
( spl0_113
| ~ spl0_11
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f14271,f549,f170,f2827]) ).
thf(f14613,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ z ) )
| spl0_165 ),
inference(avatar_component_clause,[],[f4411]) ).
thf(f14640,definition,
( spl0_324
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f14641,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324 ),
inference(avatar_component_clause,[],[f14640]) ).
thf(f14643,definition,
( spl0_325
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
thf(f14644,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f14643]) ).
thf(f14647,definition,
( spl0_326
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).
thf(f14648,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_326 ),
inference(avatar_component_clause,[],[f14647]) ).
thf(f14650,definition,
( spl0_327
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).
thf(f14651,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_327 ),
inference(avatar_component_clause,[],[f14650]) ).
thf(f14654,definition,
( spl0_328
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
thf(f14655,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f14654]) ).
thf(f14657,definition,
( spl0_329
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f14658,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f14657]) ).
thf(f14918,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_291 ),
inference(constrained_superposition,[],[f12106,f35]) ).
thf(f14921,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_291 ),
inference(trivial_inequality_removal,[],[f14918]) ).
thf(f14923,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_62
| ~ spl0_329 ),
inference(constrained_superposition,[],[f1025,f14658]) ).
thf(f14930,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_62
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f14923]) ).
thf(f14936,plain,
( $false
| ~ spl0_46
| ~ spl0_62
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f14930,f733]) ).
thf(f14937,plain,
( ~ spl0_46
| ~ spl0_62
| ~ spl0_329 ),
inference(avatar_contradiction_clause,[],[f14936]) ).
thf(f14941,definition,
( spl0_331
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f14942,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f14941]) ).
thf(f14944,definition,
( spl0_332
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).
thf(f14945,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f14944]) ).
thf(f14947,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_178
| ~ spl0_328 ),
inference(constrained_superposition,[],[f5090,f14655]) ).
thf(f14995,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_178
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f14947]) ).
thf(f15003,definition,
( spl0_333
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_333])],[avatar_definition]) ).
thf(f15004,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_333 ),
inference(avatar_component_clause,[],[f15003]) ).
thf(f15006,definition,
( spl0_334
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_334])],[avatar_definition]) ).
thf(f15007,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_334 ),
inference(avatar_component_clause,[],[f15006]) ).
thf(f15015,definition,
( spl0_336
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_336])],[avatar_definition]) ).
thf(f15016,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_336 ),
inference(avatar_component_clause,[],[f15015]) ).
thf(f15019,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_178
| ~ spl0_328 ),
inference(constrained_superposition,[],[f14995,f379]) ).
thf(f15024,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_178
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f15019]) ).
thf(f15026,definition,
( spl0_337
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_337])],[avatar_definition]) ).
thf(f15027,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_337 ),
inference(avatar_component_clause,[],[f15026]) ).
thf(f15030,definition,
( spl0_338
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_338])],[avatar_definition]) ).
thf(f15031,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_338 ),
inference(avatar_component_clause,[],[f15030]) ).
thf(f15033,plain,
( spl0_336
| ~ spl0_178
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f15024,f14654,f5089,f15015]) ).
thf(f15045,definition,
( spl0_339
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).
thf(f15046,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_339 ),
inference(avatar_component_clause,[],[f15045]) ).
thf(f15066,plain,
( ( $true != $true )
| ~ spl0_46
| ~ spl0_332 ),
inference(constrained_superposition,[],[f14945,f733]) ).
thf(f15089,plain,
( $false
| ~ spl0_46
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f15066]) ).
thf(f15090,plain,
( ~ spl0_46
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f15089]) ).
thf(f15101,definition,
( spl0_340
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_340])],[avatar_definition]) ).
thf(f15102,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_340 ),
inference(avatar_component_clause,[],[f15101]) ).
thf(f15137,definition,
( spl0_342
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_342])],[avatar_definition]) ).
thf(f15138,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ~ spl0_342 ),
inference(avatar_component_clause,[],[f15137]) ).
thf(f15140,definition,
( spl0_343
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_343])],[avatar_definition]) ).
thf(f15141,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_343 ),
inference(avatar_component_clause,[],[f15140]) ).
thf(f15155,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_85
| ~ spl0_324 ),
inference(constrained_superposition,[],[f1634,f14641]) ).
thf(f15156,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_3
| ~ spl0_324 ),
inference(constrained_superposition,[],[f1707,f14641]) ).
thf(f15171,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_3
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f15156]) ).
thf(f15192,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_85
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f15155]) ).
thf(f15198,definition,
( spl0_344
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).
thf(f15199,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_344 ),
inference(avatar_component_clause,[],[f15198]) ).
thf(f15205,definition,
( spl0_346
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_346])],[avatar_definition]) ).
thf(f15206,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_346 ),
inference(avatar_component_clause,[],[f15205]) ).
thf(f15208,definition,
( spl0_347
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_347])],[avatar_definition]) ).
thf(f15209,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_347 ),
inference(avatar_component_clause,[],[f15208]) ).
thf(f15211,definition,
( spl0_348
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_348])],[avatar_definition]) ).
thf(f15212,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_348 ),
inference(avatar_component_clause,[],[f15211]) ).
thf(f15215,definition,
( spl0_349
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_349])],[avatar_definition]) ).
thf(f15216,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_349 ),
inference(avatar_component_clause,[],[f15215]) ).
thf(f15222,definition,
( spl0_351
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_351])],[avatar_definition]) ).
thf(f15223,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_351 ),
inference(avatar_component_clause,[],[f15222]) ).
thf(f15230,definition,
( spl0_353
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_353])],[avatar_definition]) ).
thf(f15231,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_353 ),
inference(avatar_component_clause,[],[f15230]) ).
thf(f15234,definition,
( spl0_354
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_354])],[avatar_definition]) ).
thf(f15235,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_354 ),
inference(avatar_component_clause,[],[f15234]) ).
thf(f15236,plain,
( spl0_354
| spl0_203
| ~ spl0_202
| ~ spl0_85
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f15192,f14640,f1633,f6121,f6124,f15234]) ).
thf(f15238,definition,
( spl0_355
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_355])],[avatar_definition]) ).
thf(f15239,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f15238]) ).
thf(f15241,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_351 ),
inference(constrained_superposition,[],[f15223,f35]) ).
thf(f15243,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_351 ),
inference(trivial_inequality_removal,[],[f15241]) ).
thf(f15245,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_202 ),
inference(constrained_superposition,[],[f6122,f76]) ).
thf(f15248,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_202 ),
inference(trivial_inequality_removal,[],[f15245]) ).
thf(f15262,definition,
( spl0_356
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_356])],[avatar_definition]) ).
thf(f15263,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_356 ),
inference(avatar_component_clause,[],[f15262]) ).
thf(f15265,definition,
( spl0_357
<=> ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_357])],[avatar_definition]) ).
thf(f15266,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ~ spl0_357 ),
inference(avatar_component_clause,[],[f15265]) ).
thf(f15354,definition,
( spl0_359
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_359])],[avatar_definition]) ).
thf(f15355,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_359 ),
inference(avatar_component_clause,[],[f15354]) ).
thf(f15358,definition,
( spl0_360
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_360])],[avatar_definition]) ).
thf(f15359,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_360 ),
inference(avatar_component_clause,[],[f15358]) ).
thf(f15369,definition,
( spl0_363
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_363])],[avatar_definition]) ).
thf(f15370,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| spl0_363 ),
inference(avatar_component_clause,[],[f15369]) ).
thf(f15377,definition,
( spl0_365
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
thf(f15378,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f15377]) ).
thf(f15381,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_359 ),
inference(constrained_superposition,[],[f15355,f35]) ).
thf(f15384,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_359 ),
inference(trivial_inequality_removal,[],[f15381]) ).
thf(f15386,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_363 ),
inference(constrained_superposition,[],[f15370,f36]) ).
thf(f15389,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_363 ),
inference(trivial_inequality_removal,[],[f15386]) ).
thf(f15392,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_333 ),
inference(constrained_superposition,[],[f15004,f34]) ).
thf(f15396,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_333 ),
inference(constrained_superposition,[],[f15004,f379]) ).
thf(f15397,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_333 ),
inference(constrained_superposition,[],[f15004,f77]) ).
thf(f15399,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f15397]) ).
thf(f15403,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f15396]) ).
thf(f15404,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f15392]) ).
thf(f15405,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_27
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f15399,f550]) ).
thf(f15406,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_171
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f15403,f6175]) ).
thf(f15407,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_333 ),
inference(forward_subsumption_resolution,[],[f15404,f100]) ).
thf(f15408,plain,
( ~ spl0_173
| ~ spl0_27
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f15405,f15003,f549,f4832]) ).
thf(f15409,plain,
( spl0_336
| ~ spl0_171
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f15406,f15003,f4647,f15015]) ).
thf(f15410,plain,
( ~ spl0_241
| ~ spl0_3
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f15407,f15003,f99,f9655]) ).
thf(f15460,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_165 ),
inference(constrained_superposition,[],[f378,f4412]) ).
thf(f15608,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f15460,f30]) ).
thf(f15637,definition,
( spl0_366
<=> ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_366])],[avatar_definition]) ).
thf(f15638,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_366 ),
inference(avatar_component_clause,[],[f15637]) ).
thf(f15643,plain,
( $false
| ~ spl0_165 ),
inference(forward_subsumption_resolution,[],[f15608,f27]) ).
thf(f15644,plain,
~ spl0_165,
inference(avatar_contradiction_clause,[],[f15643]) ).
thf(f15662,plain,
( ( ( r @ ( 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 @ ( s @ z ) ) ) ) ) )
| spl0_165 ),
inference(extensionality_resolution,[],[f380,f14613]) ).
thf(f15663,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_165 ),
inference(extensionality_resolution,[],[f380,f14613]) ).
thf(f15665,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_165 ),
inference(extensionality_resolution,[],[f74,f14613]) ).
thf(f15670,plain,
( spl0_329
| spl0_328
| spl0_165 ),
inference(avatar_split_clause,[],[f15665,f4411,f14654,f14657]) ).
thf(f15729,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_62
| ~ spl0_334 ),
inference(constrained_superposition,[],[f1025,f15007]) ).
thf(f15744,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_62
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f15729]) ).
thf(f15746,plain,
( $false
| ~ spl0_46
| ~ spl0_62
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f15744,f733]) ).
thf(f15747,plain,
( ~ spl0_46
| ~ spl0_62
| ~ spl0_334 ),
inference(avatar_contradiction_clause,[],[f15746]) ).
thf(f15748,plain,
( ( $true != $true )
| ~ spl0_185
| ~ spl0_328 ),
inference(constrained_superposition,[],[f5414,f14655]) ).
thf(f15761,plain,
( $false
| ~ spl0_185
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f15748]) ).
thf(f15762,plain,
( ~ spl0_185
| ~ spl0_328 ),
inference(avatar_contradiction_clause,[],[f15761]) ).
thf(f15766,definition,
( spl0_367
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_367])],[avatar_definition]) ).
thf(f15767,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_367 ),
inference(avatar_component_clause,[],[f15766]) ).
thf(f15773,definition,
( spl0_369
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_369])],[avatar_definition]) ).
thf(f15774,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_369 ),
inference(avatar_component_clause,[],[f15773]) ).
thf(f15781,definition,
( spl0_371
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_371])],[avatar_definition]) ).
thf(f15782,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_371 ),
inference(avatar_component_clause,[],[f15781]) ).
thf(f15784,definition,
( spl0_372
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_372])],[avatar_definition]) ).
thf(f15785,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_372 ),
inference(avatar_component_clause,[],[f15784]) ).
thf(f15786,plain,
( ~ spl0_371
| spl0_372
| spl0_367
| ~ spl0_3
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f15171,f14640,f99,f15766,f15784,f15781]) ).
thf(f15787,plain,
( spl0_326
| spl0_327
| spl0_165 ),
inference(avatar_split_clause,[],[f15662,f4411,f14650,f14647]) ).
thf(f15789,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_371 ),
inference(constrained_superposition,[],[f15782,f31]) ).
thf(f15790,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_371 ),
inference(trivial_inequality_removal,[],[f15789]) ).
thf(f15792,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| spl0_371 ),
inference(forward_subsumption_resolution,[],[f15790,f100]) ).
thf(f15795,plain,
( $false
| ~ spl0_3
| spl0_371 ),
inference(forward_subsumption_resolution,[],[f15792,f25]) ).
thf(f15796,plain,
( ~ spl0_3
| spl0_371 ),
inference(avatar_contradiction_clause,[],[f15795]) ).
thf(f15817,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f1179,f379]) ).
thf(f15824,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f15817]) ).
thf(f15887,definition,
( spl0_373
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_373])],[avatar_definition]) ).
thf(f15888,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_373 ),
inference(avatar_component_clause,[],[f15887]) ).
thf(f15897,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_373 ),
inference(constrained_superposition,[],[f15888,f31]) ).
thf(f15899,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_373 ),
inference(trivial_inequality_removal,[],[f15897]) ).
thf(f15927,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_324
| ~ spl0_372 ),
inference(constrained_superposition,[],[f15785,f14641]) ).
thf(f15940,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f15927]) ).
thf(f15946,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324
| ~ spl0_372 ),
inference(constrained_superposition,[],[f15940,f36]) ).
thf(f15950,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_324
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f15946]) ).
thf(f15956,plain,
( spl0_354
| spl0_340
| ~ spl0_324
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f15950,f15784,f14640,f15101,f15234]) ).
thf(f15968,definition,
( spl0_376
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_376])],[avatar_definition]) ).
thf(f15969,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_376 ),
inference(avatar_component_clause,[],[f15968]) ).
thf(f15986,definition,
( spl0_377
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_377])],[avatar_definition]) ).
thf(f15987,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_377 ),
inference(avatar_component_clause,[],[f15986]) ).
thf(f15991,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_197 ),
inference(constrained_superposition,[],[f12032,f74]) ).
thf(f15994,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_197 ),
inference(trivial_inequality_removal,[],[f15991]) ).
thf(f15998,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_197 ),
inference(forward_subsumption_resolution,[],[f15994,f25]) ).
thf(f15999,plain,
( spl0_293
| spl0_197 ),
inference(avatar_split_clause,[],[f15998,f6087,f12114]) ).
thf(f16177,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_329
| ~ spl0_339 ),
inference(constrained_superposition,[],[f15046,f14658]) ).
thf(f16185,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_329
| ~ spl0_339 ),
inference(trivial_inequality_removal,[],[f16177]) ).
thf(f16188,plain,
( $false
| ~ spl0_157
| ~ spl0_329
| ~ spl0_339 ),
inference(forward_subsumption_resolution,[],[f16185,f4354]) ).
thf(f16189,plain,
( ~ spl0_157
| ~ spl0_329
| ~ spl0_339 ),
inference(avatar_contradiction_clause,[],[f16188]) ).
thf(f16212,definition,
( spl0_379
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_379])],[avatar_definition]) ).
thf(f16213,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_379 ),
inference(avatar_component_clause,[],[f16212]) ).
thf(f16317,definition,
( spl0_380
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_380])],[avatar_definition]) ).
thf(f16318,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_380 ),
inference(avatar_component_clause,[],[f16317]) ).
thf(f16345,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_166
| ~ spl0_334 ),
inference(constrained_superposition,[],[f4438,f15007]) ).
thf(f16351,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_166
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f16345]) ).
thf(f16412,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_166
| ~ spl0_334 ),
inference(constrained_superposition,[],[f16351,f74]) ).
thf(f16417,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_166
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f16412]) ).
thf(f16418,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_166
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f16417,f25]) ).
thf(f16419,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_69
| ~ spl0_166
| ~ spl0_334 ),
inference(constrained_superposition,[],[f1179,f16418]) ).
thf(f16464,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_69
| ~ spl0_166
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f16419]) ).
thf(f16477,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_69
| ~ spl0_166
| ~ spl0_334 ),
inference(constrained_superposition,[],[f16464,f31]) ).
thf(f16479,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_69
| ~ spl0_166
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f16477]) ).
thf(f16482,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_27
| ~ spl0_69
| ~ spl0_166
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f16479,f550]) ).
thf(f16487,plain,
( spl0_340
| ~ spl0_27
| ~ spl0_69
| ~ spl0_166
| ~ spl0_334 ),
inference(avatar_split_clause,[],[f16482,f15006,f4437,f1178,f549,f15101]) ).
thf(f16500,plain,
( ( $true != $true )
| ~ spl0_155
| ~ spl0_167 ),
inference(constrained_superposition,[],[f4441,f4347]) ).
thf(f16501,plain,
( ( $true != $true )
| ~ spl0_167
| ~ spl0_299 ),
inference(constrained_superposition,[],[f4441,f12713]) ).
thf(f16511,plain,
( $false
| ~ spl0_167
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f16501]) ).
thf(f16512,plain,
( ~ spl0_167
| ~ spl0_299 ),
inference(avatar_contradiction_clause,[],[f16511]) ).
thf(f16513,plain,
( $false
| ~ spl0_155
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f16500]) ).
thf(f16514,plain,
( ~ spl0_155
| ~ spl0_167 ),
inference(avatar_contradiction_clause,[],[f16513]) ).
thf(f16544,definition,
( spl0_384
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_384])],[avatar_definition]) ).
thf(f16545,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_384 ),
inference(avatar_component_clause,[],[f16544]) ).
thf(f16560,plain,
( ( $true != $true )
| ~ spl0_299
| ~ spl0_357 ),
inference(constrained_superposition,[],[f15266,f12713]) ).
thf(f16586,plain,
( $false
| ~ spl0_299
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f16560]) ).
thf(f16587,plain,
( ~ spl0_299
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f16586]) ).
thf(f16764,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_346 ),
inference(constrained_superposition,[],[f15206,f76]) ).
thf(f16774,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f16764]) ).
thf(f16840,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_69 ),
inference(constrained_superposition,[],[f15824,f77]) ).
thf(f16845,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_69 ),
inference(trivial_inequality_removal,[],[f16840]) ).
thf(f16848,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_27
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f16845,f550]) ).
thf(f16850,plain,
( spl0_78
| ~ spl0_27
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f16848,f1178,f549,f1428]) ).
thf(f16851,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_78
| ~ spl0_98 ),
inference(constrained_superposition,[],[f1984,f1429]) ).
thf(f16859,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_78 ),
inference(constrained_superposition,[],[f28,f1429]) ).
thf(f16862,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) )
| ~ spl0_78 ),
inference(trivial_inequality_removal,[],[f16859]) ).
thf(f16867,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_78
| ~ spl0_98 ),
inference(trivial_inequality_removal,[],[f16851]) ).
thf(f16918,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_344 ),
inference(constrained_superposition,[],[f15199,f77]) ).
thf(f16919,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f16918]) ).
thf(f16926,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_27
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f16919,f550]) ).
thf(f16928,plain,
( ~ spl0_279
| ~ spl0_27
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f16926,f15198,f549,f12008]) ).
thf(f16930,plain,
( spl0_324
| spl0_325
| spl0_165 ),
inference(avatar_split_clause,[],[f15663,f4411,f14643,f14640]) ).
thf(f17011,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_324
| ~ spl0_355 ),
inference(constrained_superposition,[],[f15239,f14641]) ).
thf(f17028,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_324
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f17011]) ).
thf(f17033,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_324
| ~ spl0_355 ),
inference(constrained_superposition,[],[f17028,f380]) ).
thf(f17038,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_324
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f17033]) ).
thf(f17040,definition,
( spl0_386
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_386])],[avatar_definition]) ).
thf(f17041,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_386 ),
inference(avatar_component_clause,[],[f17040]) ).
thf(f17044,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_324
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f17038,f25]) ).
thf(f17045,plain,
( spl0_386
| ~ spl0_324
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f17044,f15238,f14640,f17040]) ).
thf(f17067,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_166
| ~ spl0_353 ),
inference(constrained_superposition,[],[f4438,f15231]) ).
thf(f17078,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_166
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f17067]) ).
thf(f17081,definition,
( spl0_388
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_388])],[avatar_definition]) ).
thf(f17082,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_388 ),
inference(avatar_component_clause,[],[f17081]) ).
thf(f17084,plain,
( $false
| ~ spl0_78
| ~ spl0_166
| ~ spl0_353 ),
inference(forward_subsumption_resolution,[],[f17078,f1429]) ).
thf(f17085,plain,
( ~ spl0_78
| ~ spl0_166
| ~ spl0_353 ),
inference(avatar_contradiction_clause,[],[f17084]) ).
thf(f17180,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_326
| ~ spl0_365 ),
inference(constrained_superposition,[],[f15378,f14648]) ).
thf(f17191,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_326
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f17180]) ).
thf(f17198,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_326
| ~ spl0_365 ),
inference(constrained_superposition,[],[f17191,f380]) ).
thf(f17202,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ z ) )
| ~ spl0_326
| ~ spl0_365 ),
inference(trivial_inequality_removal,[],[f17198]) ).
thf(f17205,definition,
( spl0_391
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_391])],[avatar_definition]) ).
thf(f17206,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_391 ),
inference(avatar_component_clause,[],[f17205]) ).
thf(f17208,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_326
| ~ spl0_365 ),
inference(forward_subsumption_resolution,[],[f17202,f25]) ).
thf(f17213,plain,
( spl0_391
| ~ spl0_326
| ~ spl0_365 ),
inference(avatar_split_clause,[],[f17208,f15377,f14647,f17205]) ).
thf(f17237,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_327
| ~ spl0_356 ),
inference(constrained_superposition,[],[f15263,f14651]) ).
thf(f17241,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f17237]) ).
thf(f17248,plain,
( $false
| ~ spl0_78
| ~ spl0_327
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f17241,f1429]) ).
thf(f17249,plain,
( ~ spl0_78
| ~ spl0_327
| ~ spl0_356 ),
inference(avatar_contradiction_clause,[],[f17248]) ).
thf(f17267,definition,
( spl0_393
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_393])],[avatar_definition]) ).
thf(f17268,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_393 ),
inference(avatar_component_clause,[],[f17267]) ).
thf(f17491,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_78
| ~ spl0_299 ),
inference(constrained_superposition,[],[f16862,f12713]) ).
thf(f17525,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_78
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f17491]) ).
thf(f17538,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_78
| ~ spl0_299
| ~ spl0_329 ),
inference(constrained_superposition,[],[f17525,f14658]) ).
thf(f17546,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_78
| ~ spl0_299
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f17538]) ).
thf(f17554,plain,
( $false
| ~ spl0_78
| ~ spl0_299
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f17546,f1429]) ).
thf(f17555,plain,
( ~ spl0_78
| ~ spl0_299
| ~ spl0_329 ),
inference(avatar_contradiction_clause,[],[f17554]) ).
thf(f17563,plain,
( spl0_27
| spl0_300
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f13765,f12712,f12757,f549]) ).
thf(f17579,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_78
| ~ spl0_197 ),
inference(constrained_superposition,[],[f16862,f6088]) ).
thf(f17595,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_78
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f17579]) ).
thf(f17627,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_157
| ~ spl0_300 ),
inference(constrained_superposition,[],[f12758,f4354]) ).
thf(f17628,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) )
| ~ spl0_78
| ~ spl0_300 ),
inference(constrained_superposition,[],[f12758,f1429]) ).
thf(f17629,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_197
| ~ spl0_300 ),
inference(constrained_superposition,[],[f12758,f6088]) ).
thf(f17633,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_78
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f17628]) ).
thf(f17639,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_197
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f17629]) ).
thf(f17640,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_157
| ~ spl0_300 ),
inference(trivial_inequality_removal,[],[f17627]) ).
thf(f17652,plain,
( $false
| ~ spl0_78
| ~ spl0_299
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f17633,f12713]) ).
thf(f17653,plain,
( ~ spl0_78
| ~ spl0_299
| ~ spl0_300 ),
inference(avatar_contradiction_clause,[],[f17652]) ).
thf(f17655,plain,
( $false
| ~ spl0_197
| ~ spl0_299
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f17639,f12713]) ).
thf(f17656,plain,
( ~ spl0_197
| ~ spl0_299
| ~ spl0_300 ),
inference(avatar_contradiction_clause,[],[f17655]) ).
thf(f17657,plain,
( $false
| ~ spl0_157
| ~ spl0_299
| ~ spl0_300 ),
inference(forward_subsumption_resolution,[],[f17640,f12713]) ).
thf(f17658,plain,
( ~ spl0_157
| ~ spl0_299
| ~ spl0_300 ),
inference(avatar_contradiction_clause,[],[f17657]) ).
thf(f17659,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_363 ),
inference(forward_subsumption_resolution,[],[f15389,f25]) ).
thf(f17665,definition,
( spl0_394
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_394])],[avatar_definition]) ).
thf(f17666,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_394 ),
inference(avatar_component_clause,[],[f17665]) ).
thf(f17670,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f12064]) ).
thf(f17672,plain,
( spl0_356
| ~ spl0_78
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f17595,f6087,f1428,f15262]) ).
thf(f17673,plain,
( spl0_39
| spl0_68 ),
inference(avatar_split_clause,[],[f1159,f1152,f706]) ).
thf(f17676,definition,
( spl0_395
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_395])],[avatar_definition]) ).
thf(f17677,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_395 ),
inference(avatar_component_clause,[],[f17676]) ).
thf(f17679,plain,
( spl0_395
| spl0_363 ),
inference(avatar_split_clause,[],[f17659,f15369,f17676]) ).
thf(f17681,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_394 ),
inference(avatar_component_clause,[],[f17665]) ).
thf(f17688,definition,
( spl0_397
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_397])],[avatar_definition]) ).
thf(f17689,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_397 ),
inference(avatar_component_clause,[],[f17688]) ).
thf(f17691,plain,
( spl0_277
| spl0_351 ),
inference(avatar_split_clause,[],[f15243,f15222,f12000]) ).
thf(f17692,plain,
( ~ spl0_68
| spl0_395
| ~ spl0_346 ),
inference(avatar_split_clause,[],[f16774,f15205,f17676,f1152]) ).
thf(f17706,plain,
( spl0_238
| spl0_291 ),
inference(avatar_split_clause,[],[f14921,f12105,f9641]) ).
thf(f17716,plain,
( spl0_397
| spl0_359 ),
inference(avatar_split_clause,[],[f15384,f15354,f17688]) ).
thf(f17717,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_39 ),
inference(avatar_component_clause,[],[f706]) ).
thf(f17720,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_373 ),
inference(forward_subsumption_resolution,[],[f15899,f25]) ).
thf(f17722,definition,
( spl0_400
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_400])],[avatar_definition]) ).
thf(f17723,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_400 ),
inference(avatar_component_clause,[],[f17722]) ).
thf(f17735,plain,
( spl0_400
| spl0_373 ),
inference(avatar_split_clause,[],[f17720,f15887,f17722]) ).
thf(f17739,definition,
( spl0_402
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_402])],[avatar_definition]) ).
thf(f17740,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_402 ),
inference(avatar_component_clause,[],[f17739]) ).
thf(f17775,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_402 ),
inference(constrained_superposition,[],[f379,f17740]) ).
thf(f17892,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_402 ),
inference(forward_subsumption_resolution,[],[f17775,f27]) ).
thf(f17911,plain,
( $false
| ~ spl0_402 ),
inference(forward_subsumption_resolution,[],[f17892,f30]) ).
thf(f17912,plain,
~ spl0_402,
inference(avatar_contradiction_clause,[],[f17911]) ).
thf(f17971,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_337 ),
inference(constrained_superposition,[],[f3214,f15027]) ).
thf(f18065,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f17971,f27]) ).
thf(f18085,plain,
( $false
| ~ spl0_337 ),
inference(forward_subsumption_resolution,[],[f18065,f30]) ).
thf(f18086,plain,
~ spl0_337,
inference(avatar_contradiction_clause,[],[f18085]) ).
thf(f18099,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_8
| ~ spl0_357 ),
inference(constrained_superposition,[],[f15266,f130]) ).
thf(f18101,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_29
| ~ spl0_357 ),
inference(constrained_superposition,[],[f15266,f10951]) ).
thf(f18110,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_29
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f18101]) ).
thf(f18116,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_8
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f18099]) ).
thf(f18121,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_29
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f18110,f25]) ).
thf(f18129,plain,
( $false
| ~ spl0_8
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f18116,f15266]) ).
thf(f18130,plain,
( ~ spl0_8
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f18129]) ).
thf(f18134,plain,
( $false
| ~ spl0_29
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f18121,f15266]) ).
thf(f18135,plain,
( ~ spl0_29
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f18134]) ).
thf(f18136,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_231 ),
inference(forward_subsumption_resolution,[],[f13777,f100]) ).
thf(f18137,plain,
( spl0_29
| ~ spl0_30
| ~ spl0_3
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f18136,f9580,f99,f610,f586]) ).
thf(f18174,plain,
( $false
| spl0_202
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f15248,f15266]) ).
thf(f18175,plain,
( spl0_202
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f18174]) ).
thf(f18176,plain,
( $false
| ~ spl0_285
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f17670,f15266]) ).
thf(f18177,plain,
( ~ spl0_285
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f18176]) ).
thf(f18244,definition,
( spl0_407
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_407])],[avatar_definition]) ).
thf(f18245,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_407 ),
inference(avatar_component_clause,[],[f18244]) ).
thf(f18252,plain,
( $false
| ~ spl0_277
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f12001,f15266]) ).
thf(f18253,plain,
( ~ spl0_277
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f18252]) ).
thf(f18327,definition,
( spl0_408
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_408])],[avatar_definition]) ).
thf(f18328,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_408 ),
inference(avatar_component_clause,[],[f18327]) ).
thf(f18374,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_146
| ~ spl0_167 ),
inference(constrained_superposition,[],[f4441,f12225]) ).
thf(f18380,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_146
| ~ spl0_167 ),
inference(trivial_inequality_removal,[],[f18374]) ).
thf(f18385,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_146
| ~ spl0_167 ),
inference(forward_subsumption_resolution,[],[f18380,f4441]) ).
thf(f18386,plain,
( spl0_366
| ~ spl0_146
| ~ spl0_167 ),
inference(avatar_split_clause,[],[f18385,f4440,f3823,f15637]) ).
thf(f18387,plain,
( ( $true != $true )
| ~ spl0_162
| ~ spl0_357 ),
inference(constrained_superposition,[],[f15266,f4372]) ).
thf(f18395,plain,
( $false
| ~ spl0_162
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f18387]) ).
thf(f18396,plain,
( ~ spl0_162
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f18395]) ).
thf(f18408,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_78
| ~ spl0_285 ),
inference(constrained_superposition,[],[f16862,f17670]) ).
thf(f18414,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_78
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f18408]) ).
thf(f18421,plain,
( spl0_356
| ~ spl0_78
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f18414,f12064,f1428,f15262]) ).
thf(f18423,definition,
( spl0_410
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_410])],[avatar_definition]) ).
thf(f18424,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_410 ),
inference(avatar_component_clause,[],[f18423]) ).
thf(f18501,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_78
| ~ spl0_367 ),
inference(constrained_superposition,[],[f16862,f15767]) ).
thf(f18512,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_78
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f18501]) ).
thf(f18516,definition,
( spl0_412
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_412])],[avatar_definition]) ).
thf(f18517,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_412 ),
inference(avatar_component_clause,[],[f18516]) ).
thf(f18519,plain,
( spl0_376
| ~ spl0_78
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f18512,f15766,f1428,f15968]) ).
thf(f18560,plain,
( $false
| ~ spl0_167
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f14658,f4441]) ).
thf(f18561,plain,
( ~ spl0_167
| ~ spl0_329 ),
inference(avatar_contradiction_clause,[],[f18560]) ).
thf(f18593,definition,
( spl0_413
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_413])],[avatar_definition]) ).
thf(f18594,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_413 ),
inference(avatar_component_clause,[],[f18593]) ).
thf(f18600,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_60
| ~ spl0_196 ),
inference(constrained_superposition,[],[f971,f6083]) ).
thf(f18608,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f18600]) ).
thf(f18629,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_338 ),
inference(constrained_superposition,[],[f378,f15031]) ).
thf(f18749,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f18629,f27]) ).
thf(f18766,plain,
( $false
| ~ spl0_338 ),
inference(forward_subsumption_resolution,[],[f18749,f30]) ).
thf(f18767,plain,
~ spl0_338,
inference(avatar_contradiction_clause,[],[f18766]) ).
thf(f18799,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_340 ),
inference(constrained_superposition,[],[f76,f15102]) ).
thf(f18888,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f18799,f30]) ).
thf(f18914,plain,
( $false
| ~ spl0_340 ),
inference(forward_subsumption_resolution,[],[f18888,f27]) ).
thf(f18915,plain,
~ spl0_340,
inference(avatar_contradiction_clause,[],[f18914]) ).
thf(f18933,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_45
| ~ spl0_328 ),
inference(constrained_superposition,[],[f3016,f14655]) ).
thf(f18960,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_45
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f18933]) ).
thf(f18977,definition,
( spl0_415
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_415])],[avatar_definition]) ).
thf(f18978,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_415 ),
inference(avatar_component_clause,[],[f18977]) ).
thf(f18986,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181
| ~ spl0_328 ),
inference(constrained_superposition,[],[f5400,f14655]) ).
thf(f18994,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_181
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f18986]) ).
thf(f19026,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_181
| ~ spl0_328 ),
inference(constrained_superposition,[],[f18994,f31]) ).
thf(f19029,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_181
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f19026]) ).
thf(f19033,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_60
| ~ spl0_181
| ~ spl0_196
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f19029,f18608]) ).
thf(f19036,plain,
( spl0_340
| ~ spl0_60
| ~ spl0_181
| ~ spl0_196
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f19033,f14654,f6082,f5399,f970,f15101]) ).
thf(f19079,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f6149,f34]) ).
thf(f19086,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f19079]) ).
thf(f19090,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_3
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f19086,f100]) ).
thf(f19091,plain,
( ~ spl0_53
| ~ spl0_3
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f19090,f6148,f99,f874]) ).
thf(f19140,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_372 ),
inference(constrained_superposition,[],[f15785,f76]) ).
thf(f19148,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f19140]) ).
thf(f19154,plain,
( spl0_285
| ~ spl0_68
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f19148,f15784,f1152,f12064]) ).
thf(f19202,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_275
| ~ spl0_285 ),
inference(constrained_superposition,[],[f11994,f17670]) ).
thf(f19211,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_275
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f19202]) ).
thf(f19216,plain,
( $false
| ~ spl0_37
| ~ spl0_275
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f19211,f700]) ).
thf(f19217,plain,
( ~ spl0_37
| ~ spl0_275
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[],[f19216]) ).
thf(f19219,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_207
| ~ spl0_324 ),
inference(constrained_superposition,[],[f6146,f14641]) ).
thf(f19246,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_207
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f19219]) ).
thf(f19269,definition,
( spl0_416
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_416])],[avatar_definition]) ).
thf(f19270,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f19269]) ).
thf(f19273,definition,
( spl0_417
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_417])],[avatar_definition]) ).
thf(f19274,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_417 ),
inference(avatar_component_clause,[],[f19273]) ).
thf(f19277,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_207
| ~ spl0_324 ),
inference(constrained_superposition,[],[f19246,f36]) ).
thf(f19281,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_207
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f19277]) ).
thf(f19283,definition,
( spl0_418
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_418])],[avatar_definition]) ).
thf(f19284,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_418 ),
inference(avatar_component_clause,[],[f19283]) ).
thf(f19286,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_207
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f19281,f25]) ).
thf(f19287,plain,
( spl0_418
| ~ spl0_207
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f19286,f14640,f6145,f19283]) ).
thf(f19293,definition,
( spl0_419
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_419])],[avatar_definition]) ).
thf(f19294,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_419 ),
inference(avatar_component_clause,[],[f19293]) ).
thf(f19298,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_293
| ~ spl0_417 ),
inference(constrained_superposition,[],[f19274,f12115]) ).
thf(f19299,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_417 ),
inference(constrained_superposition,[],[f19274,f378]) ).
thf(f19305,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_417 ),
inference(trivial_inequality_removal,[],[f19299]) ).
thf(f19313,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_293
| ~ spl0_417 ),
inference(trivial_inequality_removal,[],[f19298]) ).
thf(f19314,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| spl0_197
| ~ spl0_417 ),
inference(forward_subsumption_resolution,[],[f19305,f12032]) ).
thf(f19316,plain,
( ~ spl0_53
| ~ spl0_293
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f19313,f19273,f12114,f874]) ).
thf(f19317,plain,
( ~ spl0_53
| spl0_197
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f19314,f19273,f6087,f874]) ).
thf(f19328,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_326 ),
inference(constrained_superposition,[],[f1410,f14648]) ).
thf(f19360,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f19328]) ).
thf(f19403,definition,
( spl0_420
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_420])],[avatar_definition]) ).
thf(f19404,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_420 ),
inference(avatar_component_clause,[],[f19403]) ).
thf(f19405,plain,
( spl0_420
| spl0_41
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f3290,f1983,f713,f19403]) ).
thf(f19413,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f11130,f25]) ).
thf(f19423,plain,
( spl0_41
| spl0_66 ),
inference(avatar_split_clause,[],[f1094,f1089,f713]) ).
thf(f19429,definition,
( spl0_425
<=> ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_425])],[avatar_definition]) ).
thf(f19430,plain,
( ! [X0: $i] :
( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_425 ),
inference(avatar_component_clause,[],[f19429]) ).
thf(f19431,plain,
( spl0_425
| spl0_41
| ~ spl0_78
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f16867,f1983,f1428,f713,f19429]) ).
thf(f19433,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f19413,f25]) ).
thf(f19434,plain,
( spl0_270
| spl0_41
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f19433,f54,f713,f10784]) ).
thf(f19443,plain,
( ( $true != $true )
| ~ spl0_18
| ~ spl0_157 ),
inference(constrained_superposition,[],[f450,f4354]) ).
thf(f19446,plain,
( $false
| ~ spl0_18
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f19443]) ).
thf(f19447,plain,
( ~ spl0_18
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f19446]) ).
thf(f19463,plain,
( spl0_338
| spl0_196
| ~ spl0_373
| spl0_238
| ~ spl0_45
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f18960,f14654,f729,f9641,f15887,f6082,f15030]) ).
thf(f19465,definition,
( spl0_426
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_426])],[avatar_definition]) ).
thf(f19466,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_426 ),
inference(avatar_component_clause,[],[f19465]) ).
thf(f19487,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_78
| ~ spl0_150 ),
inference(constrained_superposition,[],[f16862,f4329]) ).
thf(f19489,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_150 ),
inference(constrained_superposition,[],[f971,f4329]) ).
thf(f19493,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f19489]) ).
thf(f19498,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_78
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f19487]) ).
thf(f19500,plain,
( $false
| ~ spl0_60
| ~ spl0_150
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f19493,f12842]) ).
thf(f19501,plain,
( ~ spl0_60
| ~ spl0_150
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[],[f19500]) ).
thf(f19503,plain,
( spl0_166
| ~ spl0_78
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f19498,f4328,f1428,f4437]) ).
thf(f19505,definition,
( spl0_427
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_427])],[avatar_definition]) ).
thf(f19506,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_427 ),
inference(avatar_component_clause,[],[f19505]) ).
thf(f19508,plain,
( spl0_319
| spl0_78
| ~ spl0_68
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f10802,f1633,f1152,f1428,f14106]) ).
thf(f19511,plain,
( spl0_360
| spl0_354
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f19360,f14647,f15234,f15358]) ).
thf(f19551,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_171 ),
inference(constrained_superposition,[],[f3824,f6175]) ).
thf(f19577,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_146
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f19551]) ).
thf(f19582,plain,
( spl0_238
| ~ spl0_66
| ~ spl0_146
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f19577,f4647,f3823,f1089,f9641]) ).
thf(f19666,definition,
( spl0_429
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_429])],[avatar_definition]) ).
thf(f19667,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_429 ),
inference(avatar_component_clause,[],[f19666]) ).
thf(f19674,definition,
( spl0_430
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_430])],[avatar_definition]) ).
thf(f19675,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_430 ),
inference(avatar_component_clause,[],[f19674]) ).
thf(f19716,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_155
| ~ spl0_168 ),
inference(constrained_superposition,[],[f4475,f4347]) ).
thf(f19721,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_155
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f19716]) ).
thf(f19729,plain,
( $false
| ~ spl0_37
| ~ spl0_155
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f19721,f700]) ).
thf(f19730,plain,
( ~ spl0_37
| ~ spl0_155
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f19729]) ).
thf(f19741,plain,
( ( $true != $true )
| ~ spl0_18
| ~ spl0_349 ),
inference(constrained_superposition,[],[f450,f15216]) ).
thf(f19742,plain,
( ( $true != $true )
| ~ spl0_18
| ~ spl0_336 ),
inference(constrained_superposition,[],[f450,f15016]) ).
thf(f19747,plain,
( $false
| ~ spl0_18
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f19742]) ).
thf(f19748,plain,
( ~ spl0_18
| ~ spl0_336 ),
inference(avatar_contradiction_clause,[],[f19747]) ).
thf(f19749,plain,
( $false
| ~ spl0_18
| ~ spl0_349 ),
inference(trivial_inequality_removal,[],[f19741]) ).
thf(f19750,plain,
( ~ spl0_18
| ~ spl0_349 ),
inference(avatar_contradiction_clause,[],[f19749]) ).
thf(f19882,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_326
| ~ spl0_426 ),
inference(constrained_superposition,[],[f19466,f14648]) ).
thf(f19883,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_426 ),
inference(constrained_superposition,[],[f19466,f3214]) ).
thf(f19891,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_326
| ~ spl0_426 ),
inference(trivial_inequality_removal,[],[f19882]) ).
thf(f19894,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_426 ),
inference(trivial_inequality_removal,[],[f19883]) ).
thf(f19898,plain,
( ~ spl0_279
| ~ spl0_326
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f19891,f19465,f14647,f12008]) ).
thf(f19899,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_279 ),
inference(constrained_superposition,[],[f12009,f77]) ).
thf(f19902,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_279 ),
inference(trivial_inequality_removal,[],[f19899]) ).
thf(f19905,plain,
( spl0_407
| spl0_279 ),
inference(avatar_split_clause,[],[f19902,f12008,f18244]) ).
thf(f19952,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_9 ),
inference(constrained_superposition,[],[f143,f379]) ).
thf(f19962,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f19952]) ).
thf(f19968,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_9
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f19962,f450]) ).
thf(f19971,plain,
( ~ spl0_66
| spl0_56
| ~ spl0_9
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f19968,f449,f142,f908,f1089]) ).
thf(f19978,plain,
( ( $true != $true )
| ~ spl0_56
| spl0_394 ),
inference(constrained_superposition,[],[f17681,f909]) ).
thf(f19987,plain,
( $false
| ~ spl0_56
| spl0_394 ),
inference(trivial_inequality_removal,[],[f19978]) ).
thf(f19988,plain,
( ~ spl0_56
| spl0_394 ),
inference(avatar_contradiction_clause,[],[f19987]) ).
thf(f20106,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_173 ),
inference(constrained_superposition,[],[f4833,f31]) ).
thf(f20109,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_173 ),
inference(trivial_inequality_removal,[],[f20106]) ).
thf(f20132,definition,
( spl0_431
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_431])],[avatar_definition]) ).
thf(f20133,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_431 ),
inference(avatar_component_clause,[],[f20132]) ).
thf(f20135,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_165
| spl0_173 ),
inference(forward_subsumption_resolution,[],[f20109,f14613]) ).
thf(f20137,plain,
( spl0_305
| spl0_165
| spl0_173 ),
inference(avatar_split_clause,[],[f20135,f4832,f4411,f12841]) ).
thf(f20346,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_164
| ~ spl0_329 ),
inference(constrained_superposition,[],[f4399,f14658]) ).
thf(f20352,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_164
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f20346]) ).
thf(f20465,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_348 ),
inference(avatar_component_clause,[],[f15211]) ).
thf(f20510,definition,
( spl0_432
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_432])],[avatar_definition]) ).
thf(f20511,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_432 ),
inference(avatar_component_clause,[],[f20510]) ).
thf(f20544,definition,
( spl0_434
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_434])],[avatar_definition]) ).
thf(f20545,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_434 ),
inference(avatar_component_clause,[],[f20544]) ).
thf(f20555,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_3
| ~ spl0_434 ),
inference(constrained_superposition,[],[f1707,f20545]) ).
thf(f20574,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_3
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f20555]) ).
thf(f20593,definition,
( spl0_436
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_436])],[avatar_definition]) ).
thf(f20594,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_436 ),
inference(avatar_component_clause,[],[f20593]) ).
thf(f20606,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_327
| ~ spl0_408 ),
inference(constrained_superposition,[],[f18328,f14651]) ).
thf(f20613,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_327
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f20606]) ).
thf(f20619,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_436 ),
inference(constrained_superposition,[],[f20594,f34]) ).
thf(f20622,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_436 ),
inference(constrained_superposition,[],[f20594,f379]) ).
thf(f20624,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f20619]) ).
thf(f20626,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f20622]) ).
thf(f20630,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_3
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f20624,f100]) ).
thf(f20631,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_18
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f20626,f450]) ).
thf(f20632,plain,
( ~ spl0_241
| ~ spl0_3
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f20630,f20593,f99,f9655]) ).
thf(f20633,plain,
( $false
| ~ spl0_18
| ~ spl0_171
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f20631,f6175]) ).
thf(f20634,plain,
( ~ spl0_18
| ~ spl0_171
| ~ spl0_436 ),
inference(avatar_contradiction_clause,[],[f20633]) ).
thf(f20637,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_28
| ~ spl0_331 ),
inference(constrained_superposition,[],[f14942,f584]) ).
thf(f20641,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_28
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f20637]) ).
thf(f20643,plain,
( $false
| ~ spl0_28
| ~ spl0_155
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f20641,f4347]) ).
thf(f20644,plain,
( ~ spl0_28
| ~ spl0_155
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f20643]) ).
thf(f20645,plain,
( ~ spl0_394
| ~ spl0_164
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f20352,f14657,f4398,f17665]) ).
thf(f20648,plain,
( ~ spl0_285
| ~ spl0_327
| ~ spl0_408 ),
inference(avatar_split_clause,[],[f20613,f18327,f14650,f12064]) ).
thf(f20652,definition,
( spl0_437
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_437])],[avatar_definition]) ).
thf(f20653,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_437 ),
inference(avatar_component_clause,[],[f20652]) ).
thf(f20656,plain,
( spl0_150
| spl0_372
| ~ spl0_371
| ~ spl0_3
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f20574,f20544,f99,f15781,f15784,f4328]) ).
thf(f20662,definition,
( spl0_438
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_438])],[avatar_definition]) ).
thf(f20663,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_438 ),
inference(avatar_component_clause,[],[f20662]) ).
thf(f20668,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_157
| ~ spl0_269 ),
inference(constrained_superposition,[],[f10521,f4354]) ).
thf(f20671,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_157
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f20668]) ).
thf(f20674,plain,
( $false
| ~ spl0_37
| ~ spl0_157
| ~ spl0_269 ),
inference(forward_subsumption_resolution,[],[f20671,f700]) ).
thf(f20675,plain,
( ~ spl0_37
| ~ spl0_157
| ~ spl0_269 ),
inference(avatar_contradiction_clause,[],[f20674]) ).
thf(f20676,plain,
( spl0_353
| ~ spl0_173
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f19894,f19465,f4832,f15230]) ).
thf(f20829,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_328 ),
inference(constrained_superposition,[],[f1707,f14655]) ).
thf(f20855,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_3
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f20829]) ).
thf(f20865,plain,
( spl0_178
| ~ spl0_241
| spl0_196
| ~ spl0_3
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f20855,f14654,f99,f6082,f9655,f5089]) ).
thf(f20914,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_367 ),
inference(constrained_superposition,[],[f971,f15767]) ).
thf(f20921,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f20914]) ).
thf(f20941,plain,
( ( $true != $true )
| ~ spl0_332
| ~ spl0_400 ),
inference(constrained_superposition,[],[f14945,f17723]) ).
thf(f20953,plain,
( $false
| ~ spl0_332
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f20941]) ).
thf(f20954,plain,
( ~ spl0_332
| ~ spl0_400 ),
inference(avatar_contradiction_clause,[],[f20953]) ).
thf(f21037,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_353
| ~ spl0_408 ),
inference(constrained_superposition,[],[f18328,f15231]) ).
thf(f21039,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_166
| ~ spl0_353 ),
inference(constrained_superposition,[],[f4438,f15231]) ).
thf(f21042,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_353
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f21037]) ).
thf(f21043,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_166
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f21039]) ).
thf(f21046,plain,
( $false
| ~ spl0_155
| ~ spl0_353
| ~ spl0_408 ),
inference(forward_subsumption_resolution,[],[f21042,f4347]) ).
thf(f21047,plain,
( ~ spl0_155
| ~ spl0_353
| ~ spl0_408 ),
inference(avatar_contradiction_clause,[],[f21046]) ).
thf(f21048,plain,
( $false
| ~ spl0_60
| ~ spl0_367
| ~ spl0_418 ),
inference(forward_subsumption_resolution,[],[f19284,f20921]) ).
thf(f21049,plain,
( ~ spl0_60
| ~ spl0_367
| ~ spl0_418 ),
inference(avatar_contradiction_clause,[],[f21048]) ).
thf(f21119,plain,
( $false
| ~ spl0_166
| ~ spl0_353
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f21043,f15235]) ).
thf(f21120,plain,
( ~ spl0_166
| ~ spl0_353
| ~ spl0_354 ),
inference(avatar_contradiction_clause,[],[f21119]) ).
thf(f21121,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_166
| ~ spl0_353 ),
inference(constrained_superposition,[],[f21043,f74]) ).
thf(f21123,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_166
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f21121]) ).
thf(f21125,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_166
| ~ spl0_353 ),
inference(forward_subsumption_resolution,[],[f21123,f25]) ).
thf(f21126,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_69
| ~ spl0_166
| ~ spl0_353 ),
inference(constrained_superposition,[],[f1179,f21125]) ).
thf(f21162,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_69
| ~ spl0_166
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f21126]) ).
thf(f21174,definition,
( spl0_441
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_441])],[avatar_definition]) ).
thf(f21175,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_441 ),
inference(avatar_component_clause,[],[f21174]) ).
thf(f21180,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_69
| ~ spl0_166
| ~ spl0_353 ),
inference(constrained_superposition,[],[f21162,f77]) ).
thf(f21184,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_69
| ~ spl0_166
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f21180]) ).
thf(f21187,plain,
( spl0_418
| ~ spl0_69
| ~ spl0_166
| ~ spl0_353 ),
inference(avatar_split_clause,[],[f21184,f15230,f4437,f1178,f19283]) ).
thf(f21204,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f6146,f3214]) ).
thf(f21215,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f21204]) ).
thf(f21220,plain,
( spl0_347
| ~ spl0_173
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f21215,f6145,f4832,f15208]) ).
thf(f21221,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_347
| ~ spl0_410 ),
inference(constrained_superposition,[],[f18424,f15209]) ).
thf(f21223,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_166
| ~ spl0_347 ),
inference(constrained_superposition,[],[f4438,f15209]) ).
thf(f21227,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_166
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f21223]) ).
thf(f21228,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_347
| ~ spl0_410 ),
inference(trivial_inequality_removal,[],[f21221]) ).
thf(f21230,plain,
( $false
| ~ spl0_166
| ~ spl0_347
| ~ spl0_349 ),
inference(forward_subsumption_resolution,[],[f21227,f15216]) ).
thf(f21231,plain,
( ~ spl0_166
| ~ spl0_347
| ~ spl0_349 ),
inference(avatar_contradiction_clause,[],[f21230]) ).
thf(f21232,plain,
( $false
| ~ spl0_155
| ~ spl0_347
| ~ spl0_410 ),
inference(forward_subsumption_resolution,[],[f21228,f4347]) ).
thf(f21233,plain,
( ~ spl0_155
| ~ spl0_347
| ~ spl0_410 ),
inference(avatar_contradiction_clause,[],[f21232]) ).
thf(f21235,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_197 ),
inference(constrained_superposition,[],[f971,f6088]) ).
thf(f21238,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f21235]) ).
thf(f21245,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_166
| ~ spl0_347 ),
inference(constrained_superposition,[],[f21227,f74]) ).
thf(f21248,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_166
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f21245]) ).
thf(f21249,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_166
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f21248,f25]) ).
thf(f21250,plain,
( spl0_294
| ~ spl0_166
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f21249,f15208,f4437,f12122]) ).
thf(f21251,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_69
| ~ spl0_294 ),
inference(constrained_superposition,[],[f1179,f12123]) ).
thf(f21275,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_69
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f21251]) ).
thf(f21292,plain,
( ~ spl0_279
| ~ spl0_69
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f21275,f12122,f1178,f12008]) ).
thf(f21298,plain,
( $false
| ~ spl0_60
| ~ spl0_197
| ~ spl0_407 ),
inference(forward_subsumption_resolution,[],[f18245,f21238]) ).
thf(f21299,plain,
( ~ spl0_60
| ~ spl0_197
| ~ spl0_407 ),
inference(avatar_contradiction_clause,[],[f21298]) ).
thf(f21300,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_327
| ~ spl0_413 ),
inference(constrained_superposition,[],[f18594,f14651]) ).
thf(f21304,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f21300]) ).
thf(f21308,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_348 ),
inference(constrained_superposition,[],[f1410,f20465]) ).
thf(f21309,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_348 ),
inference(constrained_superposition,[],[f161,f20465]) ).
thf(f21312,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_45
| ~ spl0_348 ),
inference(constrained_superposition,[],[f3016,f20465]) ).
thf(f21328,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f21309]) ).
thf(f21337,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f21308]) ).
thf(f21340,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_45
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f21312]) ).
thf(f21348,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_348
| ~ spl0_413 ),
inference(forward_subsumption_resolution,[],[f21328,f21304]) ).
thf(f21350,plain,
( spl0_354
| spl0_160
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f21337,f15211,f4364,f15234]) ).
thf(f21353,plain,
( spl0_231
| ~ spl0_327
| ~ spl0_348
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f21348,f18593,f15211,f14650,f9580]) ).
thf(f21354,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_356 ),
inference(constrained_superposition,[],[f15263,f14651]) ).
thf(f21359,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f21354]) ).
thf(f21360,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_356 ),
inference(constrained_superposition,[],[f21359,f74]) ).
thf(f21363,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f21360]) ).
thf(f21364,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f21363,f25]) ).
thf(f21371,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_327
| ~ spl0_356 ),
inference(constrained_superposition,[],[f4306,f21364]) ).
thf(f21395,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f21371]) ).
thf(f21409,plain,
( spl0_353
| spl0_441
| spl0_178
| ~ spl0_327
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f21395,f15262,f14650,f5089,f21174,f15230]) ).
thf(f21421,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_275
| ~ spl0_277 ),
inference(constrained_superposition,[],[f11994,f12001]) ).
thf(f21431,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_275
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f21421]) ).
thf(f21441,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_275
| ~ spl0_325 ),
inference(constrained_superposition,[],[f11994,f14644]) ).
thf(f21446,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_275
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f21441]) ).
thf(f21448,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_275
| ~ spl0_325 ),
inference(constrained_superposition,[],[f21446,f74]) ).
thf(f21453,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_275
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f21448]) ).
thf(f21454,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_275
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f21453,f25]) ).
thf(f21462,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_275
| ~ spl0_325 ),
inference(constrained_superposition,[],[f114,f21454]) ).
thf(f21484,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_275
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f21462]) ).
thf(f21492,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| spl0_39
| ~ spl0_275
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f21484,f17717]) ).
thf(f21494,plain,
( spl0_426
| spl0_441
| spl0_39
| ~ spl0_275
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f21492,f14643,f11993,f706,f21174,f19465]) ).
thf(f21509,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_379 ),
inference(constrained_superposition,[],[f16213,f6088]) ).
thf(f21516,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_197
| ~ spl0_379 ),
inference(trivial_inequality_removal,[],[f21509]) ).
thf(f21522,plain,
( $false
| ~ spl0_157
| ~ spl0_197
| ~ spl0_379 ),
inference(forward_subsumption_resolution,[],[f21516,f4354]) ).
thf(f21523,plain,
( ~ spl0_157
| ~ spl0_197
| ~ spl0_379 ),
inference(avatar_contradiction_clause,[],[f21522]) ).
thf(f21566,plain,
( ( $true != $true )
| ~ spl0_327
| ~ spl0_342 ),
inference(constrained_superposition,[],[f15138,f14651]) ).
thf(f21577,plain,
( $false
| ~ spl0_327
| ~ spl0_342 ),
inference(trivial_inequality_removal,[],[f21566]) ).
thf(f21578,plain,
( ~ spl0_327
| ~ spl0_342 ),
inference(avatar_contradiction_clause,[],[f21577]) ).
thf(f21675,definition,
( spl0_450
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_450])],[avatar_definition]) ).
thf(f21676,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_450 ),
inference(avatar_component_clause,[],[f21675]) ).
thf(f21738,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_325
| ~ spl0_376 ),
inference(constrained_superposition,[],[f15969,f14644]) ).
thf(f21745,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_325
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f21738]) ).
thf(f21746,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_325
| ~ spl0_376 ),
inference(constrained_superposition,[],[f21745,f74]) ).
thf(f21749,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_325
| ~ spl0_376 ),
inference(trivial_inequality_removal,[],[f21746]) ).
thf(f21750,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_325
| ~ spl0_376 ),
inference(forward_subsumption_resolution,[],[f21749,f25]) ).
thf(f21751,plain,
( spl0_294
| ~ spl0_325
| ~ spl0_376 ),
inference(avatar_split_clause,[],[f21750,f15968,f14643,f12122]) ).
thf(f21796,plain,
( ! [X0: $i] :
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f3260,f26]) ).
thf(f21802,definition,
( spl0_452
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_452])],[avatar_definition]) ).
thf(f21803,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_452 ),
inference(avatar_component_clause,[],[f21802]) ).
thf(f21806,definition,
( spl0_453
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_453])],[avatar_definition]) ).
thf(f21807,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_453 ),
inference(avatar_component_clause,[],[f21806]) ).
thf(f21809,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f11122,f25]) ).
thf(f21814,definition,
( spl0_455
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_455])],[avatar_definition]) ).
thf(f21815,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_455 ),
inference(avatar_component_clause,[],[f21814]) ).
thf(f21821,plain,
( ~ spl0_455
| ~ spl0_275
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f21431,f12000,f11993,f21814]) ).
thf(f21841,definition,
( spl0_460
<=> ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_460])],[avatar_definition]) ).
thf(f21842,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_460 ),
inference(avatar_component_clause,[],[f21841]) ).
thf(f21848,definition,
( spl0_461
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_461])],[avatar_definition]) ).
thf(f21849,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_461 ),
inference(avatar_component_clause,[],[f21848]) ).
thf(f21858,definition,
( spl0_463
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_463])],[avatar_definition]) ).
thf(f21859,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_463 ),
inference(avatar_component_clause,[],[f21858]) ).
thf(f21865,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f21796,f25]) ).
thf(f21866,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f21809,f25]) ).
thf(f21870,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ z ) ) )
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f21865,f25]) ).
thf(f21871,plain,
( spl0_6
| spl0_8
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f21866,f54,f129,f119]) ).
thf(f21872,plain,
( spl0_37
| spl0_6
| spl0_8
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f21870,f729,f129,f119,f699]) ).
thf(f21876,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) ) )
| ~ spl0_27
| ~ spl0_146 ),
inference(constrained_superposition,[],[f550,f12225]) ).
thf(f21882,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_27
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f21876]) ).
thf(f21885,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ z ) )
| ( z = X0 ) )
| ~ spl0_27
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f21882,f550]) ).
thf(f21917,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ X2 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_27
| ~ spl0_146 ),
inference(constrained_superposition,[],[f28,f21885]) ).
thf(f21918,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( z = X0 )
| ( ( r @ z @ X2 )
!= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_27
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f21917]) ).
thf(f21922,definition,
( spl0_466
<=> ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_466])],[avatar_definition]) ).
thf(f21923,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( z = X0 ) )
| ~ spl0_466 ),
inference(avatar_component_clause,[],[f21922]) ).
thf(f21924,plain,
( spl0_466
| spl0_3
| ~ spl0_27
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f21918,f3823,f549,f99,f21922]) ).
thf(f21939,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_157
| ~ spl0_466 ),
inference(constrained_superposition,[],[f21923,f4354]) ).
thf(f21945,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ z ) )
| ~ spl0_157
| ~ spl0_466 ),
inference(trivial_inequality_removal,[],[f21939]) ).
thf(f21960,plain,
( ( z
= ( s @ z ) )
| ~ spl0_113
| ~ spl0_157
| ~ spl0_466 ),
inference(forward_subsumption_resolution,[],[f21945,f2828]) ).
thf(f21964,plain,
( $false
| ~ spl0_113
| ~ spl0_157
| ~ spl0_466 ),
inference(forward_subsumption_resolution,[],[f21960,f25]) ).
thf(f21965,plain,
( ~ spl0_113
| ~ spl0_157
| ~ spl0_466 ),
inference(avatar_contradiction_clause,[],[f21964]) ).
thf(f22025,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_279 ),
inference(constrained_superposition,[],[f12009,f36]) ).
thf(f22029,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_279 ),
inference(trivial_inequality_removal,[],[f22025]) ).
thf(f22033,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_279 ),
inference(forward_subsumption_resolution,[],[f22029,f25]) ).
thf(f22035,plain,
( $false
| ~ spl0_27
| spl0_279 ),
inference(forward_subsumption_resolution,[],[f22033,f550]) ).
thf(f22036,plain,
( ~ spl0_27
| spl0_279 ),
inference(avatar_contradiction_clause,[],[f22035]) ).
thf(f22038,definition,
( spl0_468
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_468])],[avatar_definition]) ).
thf(f22039,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_468 ),
inference(avatar_component_clause,[],[f22038]) ).
thf(f22063,plain,
( spl0_397
| ~ spl0_291
| spl0_150
| spl0_169
| ~ spl0_45
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f21340,f15211,f729,f4492,f4328,f12105,f17688]) ).
thf(f22128,definition,
( spl0_470
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_470])],[avatar_definition]) ).
thf(f22129,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_470 ),
inference(avatar_component_clause,[],[f22128]) ).
thf(f22139,definition,
( spl0_471
<=> ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_471])],[avatar_definition]) ).
thf(f22140,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_471 ),
inference(avatar_component_clause,[],[f22139]) ).
thf(f22143,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f1630,f34]) ).
thf(f22146,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_84
| ~ spl0_293 ),
inference(constrained_superposition,[],[f1630,f12115]) ).
thf(f22149,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f22143]) ).
thf(f22151,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_84
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f22146]) ).
thf(f22154,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_84
| spl0_455 ),
inference(forward_subsumption_resolution,[],[f22149,f21815]) ).
thf(f22155,plain,
( ~ spl0_279
| ~ spl0_84
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f22151,f12114,f1629,f12008]) ).
thf(f22156,plain,
( ~ spl0_12
| ~ spl0_84
| spl0_455 ),
inference(avatar_split_clause,[],[f22154,f21814,f1629,f173]) ).
thf(f22157,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) ) )
| ~ spl0_27
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f4607,f550]) ).
thf(f22158,plain,
( spl0_29
| ~ spl0_12
| ~ spl0_27
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f22157,f4374,f549,f173,f586]) ).
thf(f22160,definition,
( spl0_472
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_472])],[avatar_definition]) ).
thf(f22161,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_472 ),
inference(avatar_component_clause,[],[f22160]) ).
thf(f22178,definition,
( spl0_474
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_474])],[avatar_definition]) ).
thf(f22179,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_474 ),
inference(avatar_component_clause,[],[f22178]) ).
thf(f22185,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_293
| ~ spl0_319 ),
inference(constrained_superposition,[],[f14107,f12115]) ).
thf(f22190,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_293
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f22185]) ).
thf(f22194,plain,
( ~ spl0_202
| ~ spl0_293
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f22190,f14106,f12114,f6121]) ).
thf(f22217,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f161,f12123]) ).
thf(f22222,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f47,f12123]) ).
thf(f22228,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f22217]) ).
thf(f22230,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f22222]) ).
thf(f22235,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_27
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f22228,f550]) ).
thf(f22237,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_294
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f22230,f15266]) ).
thf(f22245,plain,
( spl0_431
| ~ spl0_27
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f22235,f12122,f549,f20132]) ).
thf(f22246,plain,
( spl0_208
| spl0_104
| ~ spl0_294
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f22237,f15265,f12122,f2291,f6148]) ).
thf(f22271,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_434 ),
inference(constrained_superposition,[],[f42,f20545]) ).
thf(f22284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f22271]) ).
thf(f22295,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_206
| ~ spl0_294 ),
inference(constrained_superposition,[],[f6138,f12123]) ).
thf(f22300,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_206
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f22295]) ).
thf(f22305,plain,
( ~ spl0_66
| ~ spl0_206
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f22300,f12122,f6137,f1089]) ).
thf(f22308,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_349
| ~ spl0_471 ),
inference(constrained_superposition,[],[f22140,f15216]) ).
thf(f22313,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_349
| ~ spl0_471 ),
inference(trivial_inequality_removal,[],[f22308]) ).
thf(f22315,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f161,f14655]) ).
thf(f22330,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f22315]) ).
thf(f22336,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_27
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f22330,f550]) ).
thf(f22338,plain,
( spl0_415
| ~ spl0_27
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f22336,f14654,f549,f18977]) ).
thf(f22341,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_166
| ~ spl0_334 ),
inference(constrained_superposition,[],[f4438,f15007]) ).
thf(f22346,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_166
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f22341]) ).
thf(f22387,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_34
| ~ spl0_157 ),
inference(constrained_superposition,[],[f650,f4354]) ).
thf(f22399,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f22387]) ).
thf(f22407,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f6149,f77]) ).
thf(f22412,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f22407]) ).
thf(f22415,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_27
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f22412,f550]) ).
thf(f22416,plain,
( ~ spl0_58
| ~ spl0_27
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f22415,f6148,f549,f951]) ).
thf(f22425,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_285 ),
inference(constrained_superposition,[],[f547,f17670]) ).
thf(f22434,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f22425]) ).
thf(f22435,plain,
( $false
| ~ spl0_26
| ~ spl0_285
| ~ spl0_470 ),
inference(forward_subsumption_resolution,[],[f22434,f22129]) ).
thf(f22436,plain,
( ~ spl0_26
| ~ spl0_285
| ~ spl0_470 ),
inference(avatar_contradiction_clause,[],[f22435]) ).
thf(f22441,definition,
( spl0_477
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_477])],[avatar_definition]) ).
thf(f22442,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_477 ),
inference(avatar_component_clause,[],[f22441]) ).
thf(f22444,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_166
| ~ spl0_477 ),
inference(constrained_superposition,[],[f4438,f22442]) ).
thf(f22447,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_166
| ~ spl0_477 ),
inference(trivial_inequality_removal,[],[f22444]) ).
thf(f22449,definition,
( spl0_478
<=> ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_478])],[avatar_definition]) ).
thf(f22450,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_478 ),
inference(avatar_component_clause,[],[f22449]) ).
thf(f22452,plain,
( $false
| ~ spl0_41
| ~ spl0_166
| ~ spl0_477 ),
inference(forward_subsumption_resolution,[],[f22447,f714]) ).
thf(f22453,plain,
( ~ spl0_41
| ~ spl0_166
| ~ spl0_477 ),
inference(avatar_contradiction_clause,[],[f22452]) ).
thf(f22472,plain,
( $false
| ~ spl0_342
| ~ spl0_367 ),
inference(forward_subsumption_resolution,[],[f15767,f15138]) ).
thf(f22473,plain,
( ~ spl0_342
| ~ spl0_367 ),
inference(avatar_contradiction_clause,[],[f22472]) ).
thf(f22477,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f21814]) ).
thf(f22480,plain,
( ~ spl0_455
| ~ spl0_349
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f22313,f22139,f15215,f21814]) ).
thf(f22481,plain,
( spl0_163
| spl0_470
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f22284,f20544,f22128,f4374]) ).
thf(f22489,definition,
( spl0_480
<=> ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_480])],[avatar_definition]) ).
thf(f22490,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_480 ),
inference(avatar_component_clause,[],[f22489]) ).
thf(f22518,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_319 ),
inference(constrained_superposition,[],[f14107,f34]) ).
thf(f22525,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f22518]) ).
thf(f22550,plain,
( spl0_455
| ~ spl0_30
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f22525,f14106,f610,f21814]) ).
thf(f22582,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_53 ),
inference(constrained_superposition,[],[f875,f34]) ).
thf(f22585,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_53 ),
inference(trivial_inequality_removal,[],[f22582]) ).
thf(f22587,plain,
( $false
| spl0_53
| spl0_455 ),
inference(forward_subsumption_resolution,[],[f22585,f21815]) ).
thf(f22588,plain,
( spl0_53
| spl0_455 ),
inference(avatar_contradiction_clause,[],[f22587]) ).
thf(f22591,plain,
( spl0_455
| spl0_53 ),
inference(avatar_split_clause,[],[f22585,f874,f21814]) ).
thf(f22592,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_238 ),
inference(avatar_component_clause,[],[f9641]) ).
thf(f22594,definition,
( spl0_481
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_481])],[avatar_definition]) ).
thf(f22595,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_481 ),
inference(avatar_component_clause,[],[f22594]) ).
thf(f22597,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_41 ),
inference(avatar_component_clause,[],[f713]) ).
thf(f22599,plain,
( spl0_455
| ~ spl0_238
| ~ spl0_34
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f22399,f4353,f649,f9641,f21814]) ).
thf(f22600,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_277 ),
inference(avatar_component_clause,[],[f12000]) ).
thf(f22610,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_41 ),
inference(constrained_superposition,[],[f22597,f52]) ).
thf(f22611,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_41 ),
inference(trivial_inequality_removal,[],[f22610]) ).
thf(f22617,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_1
| spl0_238 ),
inference(constrained_superposition,[],[f22592,f52]) ).
thf(f22618,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| spl0_238 ),
inference(trivial_inequality_removal,[],[f22617]) ).
thf(f22619,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_1
| spl0_277 ),
inference(constrained_superposition,[],[f22600,f52]) ).
thf(f22620,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| spl0_277 ),
inference(trivial_inequality_removal,[],[f22619]) ).
thf(f22621,plain,
( spl0_470
| ~ spl0_1
| spl0_277 ),
inference(avatar_split_clause,[],[f22620,f12000,f51,f22128]) ).
thf(f22633,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_157
| ~ spl0_478 ),
inference(constrained_superposition,[],[f22450,f4354]) ).
thf(f22639,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_157
| ~ spl0_478 ),
inference(trivial_inequality_removal,[],[f22633]) ).
thf(f22641,plain,
( $false
| ~ spl0_157
| ~ spl0_455
| ~ spl0_478 ),
inference(forward_subsumption_resolution,[],[f22639,f22477]) ).
thf(f22642,plain,
( ~ spl0_157
| ~ spl0_455
| ~ spl0_478 ),
inference(avatar_contradiction_clause,[],[f22641]) ).
thf(f22643,plain,
( spl0_477
| ~ spl0_1
| spl0_238 ),
inference(avatar_split_clause,[],[f22618,f9641,f51,f22441]) ).
thf(f22649,definition,
( spl0_482
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_482])],[avatar_definition]) ).
thf(f22650,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_482 ),
inference(avatar_component_clause,[],[f22649]) ).
thf(f22655,definition,
( spl0_483
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_483])],[avatar_definition]) ).
thf(f22656,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_483 ),
inference(avatar_component_clause,[],[f22655]) ).
thf(f22683,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_241 ),
inference(constrained_superposition,[],[f9656,f34]) ).
thf(f22686,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_241 ),
inference(trivial_inequality_removal,[],[f22683]) ).
thf(f22688,plain,
( spl0_477
| spl0_241 ),
inference(avatar_split_clause,[],[f22686,f9655,f22441]) ).
thf(f22718,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197
| ~ spl0_480 ),
inference(constrained_superposition,[],[f22490,f6088]) ).
thf(f22722,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_197
| ~ spl0_480 ),
inference(trivial_inequality_removal,[],[f22718]) ).
thf(f22726,plain,
( $false
| ~ spl0_197
| ~ spl0_470
| ~ spl0_480 ),
inference(forward_subsumption_resolution,[],[f22722,f22129]) ).
thf(f22727,plain,
( ~ spl0_197
| ~ spl0_470
| ~ spl0_480 ),
inference(avatar_contradiction_clause,[],[f22726]) ).
thf(f22728,plain,
( spl0_455
| ~ spl0_1
| spl0_41 ),
inference(avatar_split_clause,[],[f22611,f713,f51,f21814]) ).
thf(f22764,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_34
| ~ spl0_349 ),
inference(constrained_superposition,[],[f650,f15216]) ).
thf(f22769,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_34
| ~ spl0_349 ),
inference(trivial_inequality_removal,[],[f22764]) ).
thf(f22776,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f42,f12115]) ).
thf(f22784,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f22776]) ).
thf(f22792,plain,
( spl0_45
| spl0_470
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f22784,f12114,f22128,f729]) ).
thf(f22802,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_187
| ~ spl0_348 ),
inference(constrained_superposition,[],[f5421,f20465]) ).
thf(f22803,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f5421,f379]) ).
thf(f22809,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f22803]) ).
thf(f22812,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_187
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f22802]) ).
thf(f22813,plain,
( ~ spl0_363
| ~ spl0_187
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f22812,f15211,f5420,f15369]) ).
thf(f22857,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_367
| ~ spl0_480 ),
inference(constrained_superposition,[],[f22490,f15767]) ).
thf(f22860,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_367
| ~ spl0_480 ),
inference(trivial_inequality_removal,[],[f22857]) ).
thf(f22892,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_468 ),
inference(constrained_superposition,[],[f22039,f379]) ).
thf(f22893,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_468 ),
inference(constrained_superposition,[],[f22039,f77]) ).
thf(f22894,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_468 ),
inference(trivial_inequality_removal,[],[f22892]) ).
thf(f22899,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_468 ),
inference(trivial_inequality_removal,[],[f22893]) ).
thf(f22900,plain,
( spl0_354
| ~ spl0_66
| ~ spl0_468 ),
inference(avatar_split_clause,[],[f22894,f22038,f1089,f15234]) ).
thf(f22901,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_27
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f22899,f550]) ).
thf(f22902,plain,
( ~ spl0_12
| ~ spl0_27
| ~ spl0_468 ),
inference(avatar_split_clause,[],[f22901,f22038,f549,f173]) ).
thf(f22916,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_325
| ~ spl0_461 ),
inference(constrained_superposition,[],[f21849,f14644]) ).
thf(f22918,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_325
| ~ spl0_474 ),
inference(constrained_superposition,[],[f22179,f14644]) ).
thf(f22921,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_325
| ~ spl0_474 ),
inference(trivial_inequality_removal,[],[f22918]) ).
thf(f22922,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_325
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f22916]) ).
thf(f22925,plain,
( $false
| ~ spl0_325
| ~ spl0_397
| ~ spl0_461 ),
inference(forward_subsumption_resolution,[],[f22922,f17689]) ).
thf(f22926,plain,
( ~ spl0_325
| ~ spl0_397
| ~ spl0_461 ),
inference(avatar_contradiction_clause,[],[f22925]) ).
thf(f22929,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_397 ),
inference(avatar_component_clause,[],[f17688]) ).
thf(f22931,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_1
| spl0_397 ),
inference(constrained_superposition,[],[f22929,f52]) ).
thf(f22932,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_1
| spl0_397 ),
inference(trivial_inequality_removal,[],[f22931]) ).
thf(f22933,plain,
( $false
| ~ spl0_1
| ~ spl0_367
| spl0_397
| ~ spl0_480 ),
inference(forward_subsumption_resolution,[],[f22932,f22860]) ).
thf(f22934,plain,
( ~ spl0_1
| ~ spl0_367
| spl0_397
| ~ spl0_480 ),
inference(avatar_contradiction_clause,[],[f22933]) ).
thf(f22935,plain,
( spl0_472
| ~ spl0_1
| spl0_397 ),
inference(avatar_split_clause,[],[f22932,f17688,f51,f22160]) ).
thf(f22953,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_166
| ~ spl0_353 ),
inference(constrained_superposition,[],[f4438,f15231]) ).
thf(f22955,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_166
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f22953]) ).
thf(f22959,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_166
| ~ spl0_353 ),
inference(constrained_superposition,[],[f22955,f74]) ).
thf(f22960,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_166
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f22959]) ).
thf(f22961,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_166
| ~ spl0_353 ),
inference(forward_subsumption_resolution,[],[f22960,f25]) ).
thf(f22967,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_166
| ~ spl0_353 ),
inference(constrained_superposition,[],[f47,f22961]) ).
thf(f22974,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_166
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f22967]) ).
thf(f22984,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_327
| ~ spl0_453 ),
inference(constrained_superposition,[],[f21807,f14651]) ).
thf(f22985,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_34
| ~ spl0_327 ),
inference(constrained_superposition,[],[f650,f14651]) ).
thf(f22989,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_34
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f22985]) ).
thf(f22993,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_327
| ~ spl0_453 ),
inference(trivial_inequality_removal,[],[f22984]) ).
thf(f22995,plain,
( $false
| ~ spl0_277
| ~ spl0_327
| ~ spl0_453 ),
inference(forward_subsumption_resolution,[],[f22993,f12001]) ).
thf(f22996,plain,
( ~ spl0_277
| ~ spl0_327
| ~ spl0_453 ),
inference(avatar_contradiction_clause,[],[f22995]) ).
thf(f23020,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_436 ),
inference(constrained_superposition,[],[f20594,f77]) ).
thf(f23024,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_436 ),
inference(trivial_inequality_removal,[],[f23020]) ).
thf(f23027,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_27
| ~ spl0_436 ),
inference(forward_subsumption_resolution,[],[f23024,f550]) ).
thf(f23028,plain,
( ~ spl0_173
| ~ spl0_27
| ~ spl0_436 ),
inference(avatar_split_clause,[],[f23027,f20593,f549,f4832]) ).
thf(f23074,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_104
| ~ spl0_166
| ~ spl0_353 ),
inference(constrained_superposition,[],[f2292,f22961]) ).
thf(f23081,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_104
| ~ spl0_166
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f23074]) ).
thf(f23086,plain,
( ~ spl0_369
| ~ spl0_104
| ~ spl0_166
| ~ spl0_353 ),
inference(avatar_split_clause,[],[f23081,f15230,f4437,f2291,f15773]) ).
thf(f23088,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_450 ),
inference(constrained_superposition,[],[f21676,f34]) ).
thf(f23091,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_450 ),
inference(trivial_inequality_removal,[],[f23088]) ).
thf(f23092,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| spl0_369 ),
inference(constrained_superposition,[],[f15774,f34]) ).
thf(f23094,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_369 ),
inference(trivial_inequality_removal,[],[f23092]) ).
thf(f23132,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_45
| ~ spl0_293 ),
inference(constrained_superposition,[],[f730,f12115]) ).
thf(f23139,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_45
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f23132]) ).
thf(f23141,plain,
( ~ spl0_351
| spl0_206
| ~ spl0_45
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f23139,f12114,f729,f6137,f15222]) ).
thf(f23156,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_285
| ~ spl0_420 ),
inference(constrained_superposition,[],[f19404,f17670]) ).
thf(f23158,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_285
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f23156]) ).
thf(f23160,plain,
( spl0_294
| ~ spl0_285
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f23158,f19403,f12064,f12122]) ).
thf(f23165,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_327
| ~ spl0_388 ),
inference(constrained_superposition,[],[f17082,f14651]) ).
thf(f23168,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_327
| ~ spl0_388 ),
inference(trivial_inequality_removal,[],[f23165]) ).
thf(f23171,plain,
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_327
| ~ spl0_388 ),
inference(constrained_superposition,[],[f23168,f74]) ).
thf(f23172,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_327
| ~ spl0_388 ),
inference(trivial_inequality_removal,[],[f23171]) ).
thf(f23173,plain,
( spl0_59
| spl0_434
| ~ spl0_327
| ~ spl0_388 ),
inference(avatar_split_clause,[],[f23172,f17081,f14650,f20544,f962]) ).
thf(f23242,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_343
| ~ spl0_472 ),
inference(constrained_superposition,[],[f15141,f22161]) ).
thf(f23245,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_343
| ~ spl0_472 ),
inference(trivial_inequality_removal,[],[f23242]) ).
thf(f23248,plain,
( ~ spl0_277
| ~ spl0_343
| ~ spl0_472 ),
inference(avatar_split_clause,[],[f23245,f22160,f15140,f12000]) ).
thf(f23250,plain,
( $false
| ~ spl0_325
| ~ spl0_470
| ~ spl0_474 ),
inference(forward_subsumption_resolution,[],[f22129,f22921]) ).
thf(f23251,plain,
( ~ spl0_325
| ~ spl0_470
| ~ spl0_474 ),
inference(avatar_contradiction_clause,[],[f23250]) ).
thf(f23252,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_327
| ~ spl0_343 ),
inference(forward_subsumption_resolution,[],[f22989,f15141]) ).
thf(f23253,plain,
( spl0_472
| spl0_369 ),
inference(avatar_split_clause,[],[f23094,f15773,f22160]) ).
thf(f23256,plain,
( ~ spl0_277
| ~ spl0_34
| ~ spl0_327
| ~ spl0_343 ),
inference(avatar_split_clause,[],[f23252,f15140,f14650,f649,f12000]) ).
thf(f23258,plain,
( spl0_104
| spl0_441
| spl0_397
| ~ spl0_166
| ~ spl0_353 ),
inference(avatar_split_clause,[],[f22974,f15230,f4437,f17688,f21174,f2291]) ).
thf(f23261,plain,
( ( $true != $true )
| ~ spl0_325
| ~ spl0_357 ),
inference(constrained_superposition,[],[f15266,f14644]) ).
thf(f23263,plain,
( $false
| ~ spl0_325
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f23261]) ).
thf(f23264,plain,
( ~ spl0_325
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f23263]) ).
thf(f23348,definition,
( spl0_485
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_485])],[avatar_definition]) ).
thf(f23349,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_485 ),
inference(avatar_component_clause,[],[f23348]) ).
thf(f23422,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_298
| ~ spl0_334 ),
inference(constrained_superposition,[],[f12370,f15007]) ).
thf(f23424,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_298
| ~ spl0_327 ),
inference(constrained_superposition,[],[f12370,f14651]) ).
thf(f23425,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_298
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f23424]) ).
thf(f23427,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_298
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f23422]) ).
thf(f23466,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_485 ),
inference(constrained_superposition,[],[f23349,f379]) ).
thf(f23469,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_485 ),
inference(trivial_inequality_removal,[],[f23466]) ).
thf(f23477,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_166
| ~ spl0_353
| ~ spl0_485 ),
inference(forward_subsumption_resolution,[],[f23469,f22955]) ).
thf(f23479,plain,
( spl0_65
| ~ spl0_66
| ~ spl0_166
| ~ spl0_353
| ~ spl0_485 ),
inference(avatar_split_clause,[],[f23477,f23348,f15230,f4437,f1089,f1086]) ).
thf(f23484,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_356
| ~ spl0_470 ),
inference(constrained_superposition,[],[f15263,f22129]) ).
thf(f23489,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_356
| ~ spl0_470 ),
inference(trivial_inequality_removal,[],[f23484]) ).
thf(f23490,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_105
| ~ spl0_400 ),
inference(constrained_superposition,[],[f2398,f17723]) ).
thf(f23495,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| ~ spl0_334 ),
inference(constrained_superposition,[],[f2398,f15007]) ).
thf(f23498,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| ~ spl0_334 ),
inference(trivial_inequality_removal,[],[f23495]) ).
thf(f23503,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_105
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f23490]) ).
thf(f23507,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| ~ spl0_400
| ~ spl0_483 ),
inference(forward_subsumption_resolution,[],[f23503,f22656]) ).
thf(f23508,plain,
( $false
| ~ spl0_105
| ~ spl0_400
| ~ spl0_455
| ~ spl0_483 ),
inference(forward_subsumption_resolution,[],[f23507,f22477]) ).
thf(f23509,plain,
( ~ spl0_105
| ~ spl0_400
| ~ spl0_455
| ~ spl0_483 ),
inference(avatar_contradiction_clause,[],[f23508]) ).
thf(f23512,plain,
( spl0_481
| spl0_450 ),
inference(avatar_split_clause,[],[f23091,f21675,f22594]) ).
thf(f23521,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_180
| ~ spl0_328 ),
inference(constrained_superposition,[],[f5098,f14655]) ).
thf(f23533,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_180
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f23521]) ).
thf(f23561,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_52
| ~ spl0_324 ),
inference(constrained_superposition,[],[f872,f14641]) ).
thf(f23562,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_52
| ~ spl0_328 ),
inference(constrained_superposition,[],[f872,f14655]) ).
thf(f23570,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_52
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f23561]) ).
thf(f23575,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_52
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f23562]) ).
thf(f23579,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_52
| ~ spl0_293
| ~ spl0_324 ),
inference(forward_subsumption_resolution,[],[f23570,f12115]) ).
thf(f23580,plain,
( ~ spl0_152
| spl0_196
| ~ spl0_52
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f23575,f14654,f871,f6082,f4335]) ).
thf(f23583,plain,
( spl0_367
| ~ spl0_52
| ~ spl0_293
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f23579,f14640,f12114,f871,f15766]) ).
thf(f23591,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_415 ),
inference(constrained_superposition,[],[f18978,f34]) ).
thf(f23606,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f23591]) ).
thf(f23656,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_324
| ~ spl0_416 ),
inference(constrained_superposition,[],[f19270,f14641]) ).
thf(f23658,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_416 ),
inference(constrained_superposition,[],[f19270,f379]) ).
thf(f23660,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f23658]) ).
thf(f23662,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_324
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f23656]) ).
thf(f23721,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_437 ),
inference(constrained_superposition,[],[f20653,f76]) ).
thf(f23733,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_437 ),
inference(trivial_inequality_removal,[],[f23721]) ).
thf(f23738,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_285
| ~ spl0_437 ),
inference(forward_subsumption_resolution,[],[f23733,f12065]) ).
thf(f23740,plain,
( spl0_69
| ~ spl0_173
| spl0_285
| ~ spl0_437 ),
inference(avatar_split_clause,[],[f23738,f20652,f12064,f4832,f1178]) ).
thf(f23788,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_380 ),
inference(constrained_superposition,[],[f16318,f77]) ).
thf(f23795,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_380 ),
inference(trivial_inequality_removal,[],[f23788]) ).
thf(f23800,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_27
| ~ spl0_380 ),
inference(forward_subsumption_resolution,[],[f23795,f550]) ).
thf(f23802,plain,
( ~ spl0_153
| spl0_69
| ~ spl0_27
| ~ spl0_380 ),
inference(avatar_split_clause,[],[f23800,f16317,f549,f1178,f4338]) ).
thf(f23811,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_196
| ~ spl0_480 ),
inference(constrained_superposition,[],[f22490,f6083]) ).
thf(f23814,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_196
| ~ spl0_480 ),
inference(trivial_inequality_removal,[],[f23811]) ).
thf(f23823,plain,
( $false
| ~ spl0_196
| ~ spl0_480
| ~ spl0_481 ),
inference(forward_subsumption_resolution,[],[f23814,f22595]) ).
thf(f23824,plain,
( ~ spl0_196
| ~ spl0_480
| ~ spl0_481 ),
inference(avatar_contradiction_clause,[],[f23823]) ).
thf(f23827,plain,
( ~ spl0_450
| ~ spl0_180
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f23533,f14654,f5097,f21675]) ).
thf(f23829,plain,
( ~ spl0_41
| ~ spl0_356
| ~ spl0_470 ),
inference(avatar_split_clause,[],[f23489,f22128,f15262,f713]) ).
thf(f23830,plain,
( $false
| ~ spl0_197
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f6088,f15266]) ).
thf(f23831,plain,
( ~ spl0_197
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f23830]) ).
thf(f23837,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| ~ spl0_166
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f23498,f22346]) ).
thf(f23840,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_150 ),
inference(avatar_component_clause,[],[f4328]) ).
thf(f23841,plain,
( spl0_400
| ~ spl0_150
| ~ spl0_298
| ~ spl0_334 ),
inference(avatar_split_clause,[],[f23427,f15006,f12369,f4328,f17722]) ).
thf(f23845,plain,
( ~ spl0_150
| ~ spl0_105
| ~ spl0_166
| ~ spl0_334 ),
inference(avatar_split_clause,[],[f23837,f15006,f4437,f2397,f4328]) ).
thf(f23847,plain,
( ~ spl0_277
| spl0_455
| ~ spl0_34
| ~ spl0_349 ),
inference(avatar_split_clause,[],[f22769,f15215,f649,f21814,f12000]) ).
thf(f23848,plain,
( spl0_397
| ~ spl0_197
| ~ spl0_298
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f23425,f14650,f12369,f6087,f17688]) ).
thf(f23869,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_105
| ~ spl0_238 ),
inference(constrained_superposition,[],[f2398,f9642]) ).
thf(f23873,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_105
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f23869]) ).
thf(f23876,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_105
| ~ spl0_238
| ~ spl0_455 ),
inference(forward_subsumption_resolution,[],[f23873,f22477]) ).
thf(f23877,plain,
( spl0_157
| ~ spl0_105
| ~ spl0_238
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f23876,f21814,f9641,f2397,f4353]) ).
thf(f23920,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_150
| ~ spl0_482 ),
inference(constrained_superposition,[],[f22650,f4329]) ).
thf(f23931,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_150
| ~ spl0_482 ),
inference(trivial_inequality_removal,[],[f23920]) ).
thf(f23950,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f42,f6175]) ).
thf(f23963,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f23950]) ).
thf(f23983,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_150
| ~ spl0_480 ),
inference(constrained_superposition,[],[f22490,f4329]) ).
thf(f23989,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_150
| ~ spl0_480 ),
inference(trivial_inequality_removal,[],[f23983]) ).
thf(f23990,plain,
( $false
| ~ spl0_150
| ~ spl0_477
| ~ spl0_480 ),
inference(forward_subsumption_resolution,[],[f23989,f22442]) ).
thf(f23991,plain,
( ~ spl0_150
| ~ spl0_477
| ~ spl0_480 ),
inference(avatar_contradiction_clause,[],[f23990]) ).
thf(f23993,plain,
( ~ spl0_41
| ~ spl0_150
| ~ spl0_482 ),
inference(avatar_split_clause,[],[f23931,f22649,f4328,f713]) ).
thf(f24001,plain,
( ( $true != $true )
| ~ spl0_113
| spl0_238 ),
inference(constrained_superposition,[],[f22592,f2828]) ).
thf(f24006,plain,
( $false
| ~ spl0_113
| spl0_238 ),
inference(trivial_inequality_removal,[],[f24001]) ).
thf(f24007,plain,
( ~ spl0_113
| spl0_238 ),
inference(avatar_contradiction_clause,[],[f24006]) ).
thf(f24016,plain,
( spl0_455
| spl0_163
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f23963,f4647,f4374,f21814]) ).
thf(f24059,plain,
( ( $true != $true )
| ~ spl0_332
| ~ spl0_394 ),
inference(constrained_superposition,[],[f14945,f17666]) ).
thf(f24063,plain,
( $false
| ~ spl0_332
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f24059]) ).
thf(f24064,plain,
( ~ spl0_332
| ~ spl0_394 ),
inference(avatar_contradiction_clause,[],[f24063]) ).
thf(f24067,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) )
| spl0_150 ),
inference(constrained_superposition,[],[f23840,f74]) ).
thf(f24068,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f24067]) ).
thf(f24069,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f24068,f25]) ).
thf(f24072,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl0_150 ),
inference(constrained_superposition,[],[f42,f24069]) ).
thf(f24082,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f24072]) ).
thf(f24087,plain,
( spl0_45
| spl0_477
| spl0_150 ),
inference(avatar_split_clause,[],[f24082,f4328,f22441,f729]) ).
thf(f24091,plain,
( ~ spl0_68
| spl0_157
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f22809,f5420,f4353,f1152]) ).
thf(f24095,plain,
( ~ spl0_68
| spl0_319
| spl0_354
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f23660,f19269,f15234,f14106,f1152]) ).
thf(f24096,plain,
( ~ spl0_202
| spl0_203
| ~ spl0_324
| ~ spl0_416 ),
inference(avatar_split_clause,[],[f23662,f19269,f14640,f6124,f6121]) ).
thf(f24100,plain,
( ( $true != $true )
| ~ spl0_113
| spl0_277 ),
inference(constrained_superposition,[],[f22600,f2828]) ).
thf(f24110,plain,
( $false
| ~ spl0_113
| spl0_277 ),
inference(trivial_inequality_removal,[],[f24100]) ).
thf(f24111,plain,
( ~ spl0_113
| spl0_277 ),
inference(avatar_contradiction_clause,[],[f24110]) ).
thf(f24115,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_60
| ~ spl0_455 ),
inference(constrained_superposition,[],[f971,f22477]) ).
thf(f24118,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_60
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f24115]) ).
thf(f24236,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_347
| ~ spl0_461 ),
inference(constrained_superposition,[],[f21849,f15209]) ).
thf(f24249,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_347
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f24236]) ).
thf(f24260,plain,
( ~ spl0_238
| ~ spl0_347
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f24249,f21848,f15208,f9641]) ).
thf(f24273,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_329
| ~ spl0_483 ),
inference(constrained_superposition,[],[f22656,f14658]) ).
thf(f24277,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_329
| ~ spl0_483 ),
inference(trivial_inequality_removal,[],[f24273]) ).
thf(f24282,plain,
( $false
| ~ spl0_329
| ~ spl0_477
| ~ spl0_483 ),
inference(forward_subsumption_resolution,[],[f24277,f22442]) ).
thf(f24283,plain,
( ~ spl0_329
| ~ spl0_477
| ~ spl0_483 ),
inference(avatar_contradiction_clause,[],[f24282]) ).
thf(f24323,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f5090,f35]) ).
thf(f24326,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f24323]) ).
thf(f24332,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_178
| spl0_238 ),
inference(forward_subsumption_resolution,[],[f24326,f22592]) ).
thf(f24333,plain,
( ~ spl0_66
| ~ spl0_178
| spl0_238 ),
inference(avatar_split_clause,[],[f24332,f9641,f5089,f1089]) ).
thf(f24374,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f4935,f77]) ).
thf(f24375,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f24374]) ).
thf(f24384,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_27
| ~ spl0_175 ),
inference(forward_subsumption_resolution,[],[f24375,f550]) ).
thf(f24385,plain,
( ~ spl0_58
| ~ spl0_27
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f24384,f4934,f549,f951]) ).
thf(f24387,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_104
| ~ spl0_171 ),
inference(constrained_superposition,[],[f2292,f6175]) ).
thf(f24388,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_104
| ~ spl0_294 ),
inference(constrained_superposition,[],[f2292,f12123]) ).
thf(f24395,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_104
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f24388]) ).
thf(f24399,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_104
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f24387]) ).
thf(f24403,plain,
( ~ spl0_371
| ~ spl0_104
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f24395,f12122,f2291,f15781]) ).
thf(f24405,plain,
( ~ spl0_241
| ~ spl0_104
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f24399,f4647,f2291,f9655]) ).
thf(f24455,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_371 ),
inference(constrained_superposition,[],[f15782,f34]) ).
thf(f24457,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_371 ),
inference(trivial_inequality_removal,[],[f24455]) ).
thf(f24459,plain,
( spl0_470
| spl0_371 ),
inference(avatar_split_clause,[],[f24457,f15781,f22128]) ).
thf(f24463,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_391
| ~ spl0_471 ),
inference(constrained_superposition,[],[f22140,f17206]) ).
thf(f24465,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_391 ),
inference(constrained_superposition,[],[f28,f17206]) ).
thf(f24466,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_391
| ~ spl0_471 ),
inference(trivial_inequality_removal,[],[f24463]) ).
thf(f24468,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_391 ),
inference(trivial_inequality_removal,[],[f24465]) ).
thf(f24471,plain,
( $false
| ~ spl0_391
| ~ spl0_471
| ~ spl0_477 ),
inference(forward_subsumption_resolution,[],[f24466,f22442]) ).
thf(f24472,plain,
( ~ spl0_391
| ~ spl0_471
| ~ spl0_477 ),
inference(avatar_contradiction_clause,[],[f24471]) ).
thf(f24473,plain,
( spl0_357
| spl0_393
| ~ spl0_391 ),
inference(avatar_split_clause,[],[f24468,f17205,f17267,f15265]) ).
thf(f24485,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_329
| ~ spl0_482 ),
inference(constrained_superposition,[],[f22650,f14658]) ).
thf(f24486,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_391
| ~ spl0_482 ),
inference(constrained_superposition,[],[f22650,f17206]) ).
thf(f24488,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_329
| ~ spl0_482 ),
inference(trivial_inequality_removal,[],[f24485]) ).
thf(f24489,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_391
| ~ spl0_482 ),
inference(trivial_inequality_removal,[],[f24486]) ).
thf(f24493,plain,
( $false
| ~ spl0_277
| ~ spl0_391
| ~ spl0_482 ),
inference(forward_subsumption_resolution,[],[f24489,f12001]) ).
thf(f24494,plain,
( ~ spl0_277
| ~ spl0_391
| ~ spl0_482 ),
inference(avatar_contradiction_clause,[],[f24493]) ).
thf(f24522,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_178 ),
inference(constrained_superposition,[],[f5090,f76]) ).
thf(f24527,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_178 ),
inference(trivial_inequality_removal,[],[f24522]) ).
thf(f24535,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f638,f76]) ).
thf(f24537,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f24535]) ).
thf(f24544,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_34
| ~ spl0_285 ),
inference(constrained_superposition,[],[f650,f17670]) ).
thf(f24558,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_34
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f24544]) ).
thf(f24578,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_386
| ~ spl0_482 ),
inference(constrained_superposition,[],[f22650,f17041]) ).
thf(f24583,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_386
| ~ spl0_482 ),
inference(trivial_inequality_removal,[],[f24578]) ).
thf(f24590,plain,
( ~ spl0_397
| ~ spl0_386
| ~ spl0_482 ),
inference(avatar_split_clause,[],[f24583,f22649,f17040,f17688]) ).
thf(f24830,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_347
| ~ spl0_478 ),
inference(constrained_superposition,[],[f22450,f15209]) ).
thf(f24835,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_347
| ~ spl0_478 ),
inference(trivial_inequality_removal,[],[f24830]) ).
thf(f24838,plain,
( $false
| ~ spl0_347
| ~ spl0_470
| ~ spl0_478 ),
inference(forward_subsumption_resolution,[],[f24835,f22129]) ).
thf(f24839,plain,
( ~ spl0_347
| ~ spl0_470
| ~ spl0_478 ),
inference(avatar_contradiction_clause,[],[f24838]) ).
thf(f24883,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_471 ),
inference(constrained_superposition,[],[f22140,f14651]) ).
thf(f24888,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_471 ),
inference(trivial_inequality_removal,[],[f24883]) ).
thf(f24933,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_393
| ~ spl0_470 ),
inference(constrained_superposition,[],[f17268,f22129]) ).
thf(f24936,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_393
| ~ spl0_470 ),
inference(trivial_inequality_removal,[],[f24933]) ).
thf(f24937,plain,
( $false
| ~ spl0_238
| ~ spl0_393
| ~ spl0_470 ),
inference(forward_subsumption_resolution,[],[f24936,f9642]) ).
thf(f24938,plain,
( ~ spl0_238
| ~ spl0_393
| ~ spl0_470 ),
inference(avatar_contradiction_clause,[],[f24937]) ).
thf(f24951,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_388
| ~ spl0_397 ),
inference(constrained_superposition,[],[f17082,f17689]) ).
thf(f24956,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_388
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f24951]) ).
thf(f24961,plain,
( $false
| ~ spl0_388
| ~ spl0_397
| ~ spl0_477 ),
inference(forward_subsumption_resolution,[],[f24956,f22442]) ).
thf(f24962,plain,
( ~ spl0_388
| ~ spl0_397
| ~ spl0_477 ),
inference(avatar_contradiction_clause,[],[f24961]) ).
thf(f25010,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f24537,f379]) ).
thf(f25023,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f25010]) ).
thf(f25030,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f25023,f450]) ).
thf(f25031,plain,
( spl0_56
| ~ spl0_68
| ~ spl0_18
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f25030,f637,f449,f1152,f908]) ).
thf(f25055,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_163
| ~ spl0_434 ),
inference(constrained_superposition,[],[f4375,f20545]) ).
thf(f25057,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_163
| ~ spl0_171 ),
inference(constrained_superposition,[],[f4375,f6175]) ).
thf(f25058,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_163 ),
inference(constrained_superposition,[],[f4375,f379]) ).
thf(f25062,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_163
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f25055]) ).
thf(f25064,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_163
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f25057]) ).
thf(f25067,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_163 ),
inference(trivial_inequality_removal,[],[f25058]) ).
thf(f25073,plain,
( ~ spl0_351
| spl0_206
| ~ spl0_163
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f25062,f20544,f4374,f6137,f15222]) ).
thf(f25074,plain,
( spl0_65
| ~ spl0_66
| ~ spl0_163
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f25064,f4647,f4374,f1089,f1086]) ).
thf(f25076,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_18
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f25067,f450]) ).
thf(f25078,plain,
( ~ spl0_66
| spl0_65
| ~ spl0_18
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f25076,f4374,f449,f1086,f1089]) ).
thf(f25079,plain,
( $false
| ~ spl0_327
| ~ spl0_471
| ~ spl0_472 ),
inference(forward_subsumption_resolution,[],[f22161,f24888]) ).
thf(f25080,plain,
( ~ spl0_327
| ~ spl0_471
| ~ spl0_472 ),
inference(avatar_contradiction_clause,[],[f25079]) ).
thf(f25098,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_353
| ~ spl0_453 ),
inference(constrained_superposition,[],[f21807,f15231]) ).
thf(f25103,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_353
| ~ spl0_453 ),
inference(trivial_inequality_removal,[],[f25098]) ).
thf(f25105,plain,
( $false
| ~ spl0_238
| ~ spl0_353
| ~ spl0_453 ),
inference(forward_subsumption_resolution,[],[f25103,f9642]) ).
thf(f25106,plain,
( ~ spl0_238
| ~ spl0_353
| ~ spl0_453 ),
inference(avatar_contradiction_clause,[],[f25105]) ).
thf(f25111,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_417
| ~ spl0_434 ),
inference(constrained_superposition,[],[f19274,f20545]) ).
thf(f25121,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_417
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f25111]) ).
thf(f25127,plain,
( ~ spl0_241
| ~ spl0_417
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f25121,f20544,f19273,f9655]) ).
thf(f25135,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f42,f14641]) ).
thf(f25140,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_5
| ~ spl0_324 ),
inference(constrained_superposition,[],[f117,f14641]) ).
thf(f25148,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_5
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f25140]) ).
thf(f25151,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f25135]) ).
thf(f25229,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_353
| ~ spl0_377 ),
inference(constrained_superposition,[],[f15987,f15231]) ).
thf(f25230,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_353
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f25229]) ).
thf(f25235,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_353
| ~ spl0_377 ),
inference(constrained_superposition,[],[f25230,f74]) ).
thf(f25236,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| ~ spl0_353
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f25235]) ).
thf(f25237,plain,
( spl0_284
| spl0_59
| ~ spl0_353
| ~ spl0_377 ),
inference(avatar_split_clause,[],[f25236,f15986,f15230,f962,f12034]) ).
thf(f25313,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_326
| ~ spl0_360 ),
inference(constrained_superposition,[],[f15359,f14648]) ).
thf(f25321,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 ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_326
| ~ spl0_360 ),
inference(trivial_inequality_removal,[],[f25313]) ).
thf(f25328,definition,
( spl0_494
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_494])],[avatar_definition]) ).
thf(f25329,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_494 ),
inference(avatar_component_clause,[],[f25328]) ).
thf(f25330,plain,
( spl0_441
| ~ spl0_494
| ~ spl0_326
| ~ spl0_360 ),
inference(avatar_split_clause,[],[f25321,f15358,f14647,f25328,f21174]) ).
thf(f25331,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_494 ),
inference(constrained_superposition,[],[f25329,f378]) ).
thf(f25332,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_494 ),
inference(constrained_superposition,[],[f25329,f36]) ).
thf(f25334,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_494 ),
inference(trivial_inequality_removal,[],[f25331]) ).
thf(f25336,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_494 ),
inference(trivial_inequality_removal,[],[f25332]) ).
thf(f25471,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_293 ),
inference(avatar_component_clause,[],[f12114]) ).
thf(f25474,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_293 ),
inference(constrained_superposition,[],[f25471,f36]) ).
thf(f25475,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_293 ),
inference(constrained_superposition,[],[f25471,f31]) ).
thf(f25476,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_293 ),
inference(trivial_inequality_removal,[],[f25474]) ).
thf(f25478,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_293 ),
inference(trivial_inequality_removal,[],[f25475]) ).
thf(f25514,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_294 ),
inference(avatar_component_clause,[],[f12122]) ).
thf(f25520,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_294 ),
inference(constrained_superposition,[],[f25514,f36]) ).
thf(f25521,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_294 ),
inference(constrained_superposition,[],[f25514,f31]) ).
thf(f25522,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_294 ),
inference(trivial_inequality_removal,[],[f25521]) ).
thf(f25524,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_294 ),
inference(trivial_inequality_removal,[],[f25520]) ).
thf(f25526,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18
| spl0_294 ),
inference(forward_subsumption_resolution,[],[f25522,f450]) ).
thf(f25529,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_18
| spl0_294 ),
inference(forward_subsumption_resolution,[],[f25524,f450]) ).
thf(f25532,plain,
( spl0_402
| ~ spl0_18
| spl0_294 ),
inference(avatar_split_clause,[],[f25526,f12122,f449,f17739]) ).
thf(f25533,plain,
( $false
| ~ spl0_18
| spl0_165
| spl0_294 ),
inference(forward_subsumption_resolution,[],[f25529,f14613]) ).
thf(f25534,plain,
( ~ spl0_18
| spl0_165
| spl0_294 ),
inference(avatar_contradiction_clause,[],[f25533]) ).
thf(f25541,plain,
( spl0_485
| spl0_470
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f25151,f14640,f22128,f23348]) ).
thf(f25542,plain,
( $false
| ~ spl0_56
| spl0_155 ),
inference(forward_subsumption_resolution,[],[f6174,f909]) ).
thf(f25543,plain,
( ~ spl0_56
| spl0_155 ),
inference(avatar_contradiction_clause,[],[f25542]) ).
thf(f25545,plain,
( spl0_367
| spl0_494 ),
inference(avatar_split_clause,[],[f25334,f25328,f15766]) ).
thf(f25547,plain,
( spl0_367
| spl0_340
| spl0_494 ),
inference(avatar_split_clause,[],[f25336,f25328,f15101,f15766]) ).
thf(f25552,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| spl0_6 ),
inference(avatar_component_clause,[],[f119]) ).
thf(f25559,plain,
( ~ spl0_6
| ~ spl0_60
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f24118,f21814,f970,f119]) ).
thf(f25561,plain,
( spl0_197
| spl0_402
| spl0_293 ),
inference(avatar_split_clause,[],[f25478,f12114,f17739,f6087]) ).
thf(f25565,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_165
| spl0_293 ),
inference(forward_subsumption_resolution,[],[f25476,f14613]) ).
thf(f25575,plain,
( spl0_197
| spl0_165
| spl0_293 ),
inference(avatar_split_clause,[],[f25565,f12114,f4411,f6087]) ).
thf(f25576,plain,
( ~ spl0_68
| spl0_155
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f24527,f5089,f4346,f1152]) ).
thf(f25589,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_34
| ~ spl0_37 ),
inference(constrained_superposition,[],[f650,f700]) ).
thf(f25593,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_34
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f25589]) ).
thf(f25604,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_155
| ~ spl0_482 ),
inference(constrained_superposition,[],[f22650,f4347]) ).
thf(f25612,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_155
| ~ spl0_482 ),
inference(trivial_inequality_removal,[],[f25604]) ).
thf(f25635,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_277
| ~ spl0_379 ),
inference(constrained_superposition,[],[f16213,f12001]) ).
thf(f25639,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_277
| ~ spl0_379 ),
inference(trivial_inequality_removal,[],[f25635]) ).
thf(f25641,plain,
( $false
| ~ spl0_277
| ~ spl0_379
| ~ spl0_477 ),
inference(forward_subsumption_resolution,[],[f25639,f22442]) ).
thf(f25642,plain,
( ~ spl0_277
| ~ spl0_379
| ~ spl0_477 ),
inference(avatar_contradiction_clause,[],[f25641]) ).
thf(f25645,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_26
| ~ spl0_155 ),
inference(constrained_superposition,[],[f547,f4347]) ).
thf(f25649,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_26
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f25645]) ).
thf(f25650,plain,
( $false
| ~ spl0_26
| ~ spl0_155
| ~ spl0_477 ),
inference(forward_subsumption_resolution,[],[f25649,f22442]) ).
thf(f25651,plain,
( ~ spl0_26
| ~ spl0_155
| ~ spl0_477 ),
inference(avatar_contradiction_clause,[],[f25650]) ).
thf(f25684,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_5
| ~ spl0_294 ),
inference(constrained_superposition,[],[f117,f12123]) ).
thf(f25698,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f25684]) ).
thf(f25703,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f1630,f378]) ).
thf(f25705,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f25703]) ).
thf(f25714,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_164
| ~ spl0_238 ),
inference(constrained_superposition,[],[f4399,f9642]) ).
thf(f25720,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_164
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f25714]) ).
thf(f25741,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_285
| ~ spl0_461 ),
inference(constrained_superposition,[],[f21849,f17670]) ).
thf(f25744,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_285
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f25741]) ).
thf(f25821,plain,
( $false
| ~ spl0_329
| ~ spl0_400
| ~ spl0_482 ),
inference(forward_subsumption_resolution,[],[f17723,f24488]) ).
thf(f25822,plain,
( ~ spl0_329
| ~ spl0_400
| ~ spl0_482 ),
inference(avatar_contradiction_clause,[],[f25821]) ).
thf(f25823,plain,
( ~ spl0_30
| spl0_29
| spl0_481
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f23606,f18977,f22594,f586,f610]) ).
thf(f25863,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_269
| ~ spl0_477 ),
inference(constrained_superposition,[],[f10521,f22442]) ).
thf(f25865,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_269
| ~ spl0_477 ),
inference(trivial_inequality_removal,[],[f25863]) ).
thf(f25900,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_160
| ~ spl0_348 ),
inference(constrained_superposition,[],[f4365,f20465]) ).
thf(f25903,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_5
| ~ spl0_348 ),
inference(constrained_superposition,[],[f117,f20465]) ).
thf(f25907,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f25903]) ).
thf(f25917,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_160
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f25900]) ).
thf(f25920,plain,
( ~ spl0_494
| spl0_441
| ~ spl0_160
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f25917,f15211,f4364,f21174,f25328]) ).
thf(f25944,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_277
| ~ spl0_410 ),
inference(constrained_superposition,[],[f18424,f12001]) ).
thf(f25949,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_277
| ~ spl0_410 ),
inference(trivial_inequality_removal,[],[f25944]) ).
thf(f25972,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_419
| ~ spl0_472 ),
inference(constrained_superposition,[],[f19294,f22161]) ).
thf(f25973,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_419
| ~ spl0_472 ),
inference(trivial_inequality_removal,[],[f25972]) ).
thf(f25979,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f1599,f77]) ).
thf(f25981,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f25979]) ).
thf(f25994,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_98
| ~ spl0_327 ),
inference(constrained_superposition,[],[f1984,f14651]) ).
thf(f26005,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_98
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f25994]) ).
thf(f26006,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_98
| ~ spl0_285
| ~ spl0_327 ),
inference(forward_subsumption_resolution,[],[f26005,f17670]) ).
thf(f26007,plain,
( $false
| ~ spl0_98
| ~ spl0_285
| ~ spl0_327
| spl0_397 ),
inference(forward_subsumption_resolution,[],[f26006,f22929]) ).
thf(f26008,plain,
( ~ spl0_98
| ~ spl0_285
| ~ spl0_327
| spl0_397 ),
inference(avatar_contradiction_clause,[],[f26007]) ).
thf(f26009,plain,
( ~ spl0_6
| ~ spl0_269
| ~ spl0_477 ),
inference(avatar_split_clause,[],[f25865,f22441,f10520,f119]) ).
thf(f26010,plain,
( ~ spl0_6
| ~ spl0_419
| ~ spl0_472 ),
inference(avatar_split_clause,[],[f25973,f22160,f19293,f119]) ).
thf(f26011,plain,
( ~ spl0_6
| spl0_470
| ~ spl0_34
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f24558,f12064,f649,f22128,f119]) ).
thf(f26012,plain,
( ~ spl0_6
| ~ spl0_285
| ~ spl0_461 ),
inference(avatar_split_clause,[],[f25744,f21848,f12064,f119]) ).
thf(f26013,plain,
( ~ spl0_6
| ~ spl0_155
| ~ spl0_482 ),
inference(avatar_split_clause,[],[f25612,f22649,f4346,f119]) ).
thf(f26015,plain,
( spl0_463
| ~ spl0_202
| spl0_395
| ~ spl0_5
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f25148,f14640,f116,f17676,f6121,f21858]) ).
thf(f26019,plain,
( spl0_285
| spl0_417
| ~ spl0_68
| ~ spl0_5
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f25698,f12122,f116,f1152,f19273,f12064]) ).
thf(f26021,plain,
( ~ spl0_21
| ~ spl0_277
| ~ spl0_410 ),
inference(avatar_split_clause,[],[f25949,f18423,f12000,f461]) ).
thf(f26023,plain,
( spl0_180
| ~ spl0_363
| spl0_155
| ~ spl0_5
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f25907,f15211,f116,f4346,f15369,f5097]) ).
thf(f26025,plain,
( ~ spl0_21
| ~ spl0_164
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f25720,f9641,f4398,f461]) ).
thf(f26037,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_305
| ~ spl0_478 ),
inference(constrained_superposition,[],[f22450,f12842]) ).
thf(f26040,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_305
| ~ spl0_478 ),
inference(trivial_inequality_removal,[],[f26037]) ).
thf(f26043,plain,
( $false
| ~ spl0_21
| ~ spl0_305
| ~ spl0_478 ),
inference(forward_subsumption_resolution,[],[f26040,f462]) ).
thf(f26044,plain,
( ~ spl0_21
| ~ spl0_305
| ~ spl0_478 ),
inference(avatar_contradiction_clause,[],[f26043]) ).
thf(f26065,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_23
| ~ spl0_407 ),
inference(constrained_superposition,[],[f469,f18245]) ).
thf(f26068,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_23
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f26065]) ).
thf(f26071,plain,
( $false
| ~ spl0_23
| ~ spl0_277
| ~ spl0_407 ),
inference(forward_subsumption_resolution,[],[f26068,f12001]) ).
thf(f26072,plain,
( ~ spl0_23
| ~ spl0_277
| ~ spl0_407 ),
inference(avatar_contradiction_clause,[],[f26071]) ).
thf(f26087,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_395 ),
inference(constrained_superposition,[],[f547,f17677]) ).
thf(f26095,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f26087]) ).
thf(f26097,plain,
( $false
| ~ spl0_26
| ~ spl0_395
| ~ spl0_472 ),
inference(forward_subsumption_resolution,[],[f26095,f22161]) ).
thf(f26098,plain,
( ~ spl0_26
| ~ spl0_395
| ~ spl0_472 ),
inference(avatar_contradiction_clause,[],[f26097]) ).
thf(f26140,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_327
| ~ spl0_413 ),
inference(constrained_superposition,[],[f18594,f14651]) ).
thf(f26145,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f26140]) ).
thf(f26147,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f6149,f34]) ).
thf(f26161,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f26147]) ).
thf(f26164,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_463 ),
inference(constrained_superposition,[],[f21859,f378]) ).
thf(f26166,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_463 ),
inference(constrained_superposition,[],[f21859,f76]) ).
thf(f26174,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_463 ),
inference(trivial_inequality_removal,[],[f26164]) ).
thf(f26176,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_463 ),
inference(trivial_inequality_removal,[],[f26166]) ).
thf(f26180,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_1
| spl0_6 ),
inference(constrained_superposition,[],[f25552,f52]) ).
thf(f26196,plain,
( ( ( r @ z @ ( s @ z ) )
= $true )
| ~ spl0_1
| spl0_6 ),
inference(trivial_inequality_removal,[],[f26180]) ).
thf(f26225,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_84 ),
inference(constrained_superposition,[],[f25705,f77]) ).
thf(f26228,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84 ),
inference(trivial_inequality_removal,[],[f26225]) ).
thf(f26231,plain,
( spl0_44
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f26228,f1629,f725]) ).
thf(f26240,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_432 ),
inference(constrained_superposition,[],[f20511,f77]) ).
thf(f26244,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_432 ),
inference(trivial_inequality_removal,[],[f26240]) ).
thf(f26249,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_327
| ~ spl0_413
| ~ spl0_432 ),
inference(forward_subsumption_resolution,[],[f26244,f26145]) ).
thf(f26252,plain,
( ~ spl0_173
| ~ spl0_327
| ~ spl0_413
| ~ spl0_432 ),
inference(avatar_split_clause,[],[f26249,f20510,f18593,f14650,f4832]) ).
thf(f26258,definition,
( spl0_502
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_502])],[avatar_definition]) ).
thf(f26259,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_502 ),
inference(avatar_component_clause,[],[f26258]) ).
thf(f26262,plain,
( spl0_395
| ~ spl0_30
| ~ spl0_463 ),
inference(avatar_split_clause,[],[f26176,f21858,f610,f17676]) ).
thf(f26271,plain,
( spl0_21
| ~ spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f26196,f119,f51,f461]) ).
thf(f26272,plain,
( spl0_21
| ~ spl0_41
| ~ spl0_34
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f25593,f699,f649,f713,f461]) ).
thf(f26286,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_34
| ~ spl0_39 ),
inference(constrained_superposition,[],[f650,f707]) ).
thf(f26294,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_34
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f26286]) ).
thf(f26310,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_26
| ~ spl0_39 ),
inference(constrained_superposition,[],[f547,f707]) ).
thf(f26313,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_26
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f26310]) ).
thf(f26316,plain,
( ~ spl0_455
| ~ spl0_26
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f26313,f706,f546,f21814]) ).
thf(f26322,definition,
( spl0_505
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_505])],[avatar_definition]) ).
thf(f26323,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_505 ),
inference(avatar_component_clause,[],[f26322]) ).
thf(f26325,plain,
( ~ spl0_6
| spl0_455
| ~ spl0_34
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f26294,f706,f649,f21814,f119]) ).
thf(f26327,definition,
( spl0_506
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_506])],[avatar_definition]) ).
thf(f26328,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_506 ),
inference(avatar_component_clause,[],[f26327]) ).
thf(f26330,plain,
( spl0_470
| ~ spl0_53
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f26161,f6148,f874,f22128]) ).
thf(f26331,plain,
( ~ spl0_53
| spl0_367
| ~ spl0_463 ),
inference(avatar_split_clause,[],[f26174,f21858,f15766,f874]) ).
thf(f26359,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_23
| ~ spl0_37 ),
inference(constrained_superposition,[],[f469,f700]) ).
thf(f26362,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_23
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f26359]) ).
thf(f26364,plain,
( $false
| ~ spl0_23
| ~ spl0_37
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f26362,f714]) ).
thf(f26365,plain,
( ~ spl0_23
| ~ spl0_37
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f26364]) ).
thf(f26366,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_150 ),
inference(constrained_superposition,[],[f23840,f74]) ).
thf(f26367,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f26366]) ).
thf(f26368,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f26367,f25]) ).
thf(f26374,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_43
| spl0_150 ),
inference(constrained_superposition,[],[f723,f26368]) ).
thf(f26381,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_43
| spl0_150 ),
inference(trivial_inequality_removal,[],[f26374]) ).
thf(f26391,plain,
( spl0_187
| ~ spl0_153
| ~ spl0_43
| spl0_150 ),
inference(avatar_split_clause,[],[f26381,f4328,f722,f4338,f5420]) ).
thf(f26437,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_37
| ~ spl0_480 ),
inference(constrained_superposition,[],[f22490,f700]) ).
thf(f26439,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_37
| ~ spl0_480 ),
inference(trivial_inequality_removal,[],[f26437]) ).
thf(f26440,plain,
( $false
| ~ spl0_21
| ~ spl0_37
| ~ spl0_480 ),
inference(forward_subsumption_resolution,[],[f26439,f462]) ).
thf(f26441,plain,
( ~ spl0_21
| ~ spl0_37
| ~ spl0_480 ),
inference(avatar_contradiction_clause,[],[f26440]) ).
thf(f26447,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_506 ),
inference(constrained_superposition,[],[f26328,f77]) ).
thf(f26449,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_506 ),
inference(trivial_inequality_removal,[],[f26447]) ).
thf(f26472,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_294 ),
inference(constrained_superposition,[],[f25514,f379]) ).
thf(f26473,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_294 ),
inference(constrained_superposition,[],[f25514,f36]) ).
thf(f26476,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_294 ),
inference(trivial_inequality_removal,[],[f26472]) ).
thf(f26477,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_294 ),
inference(trivial_inequality_removal,[],[f26473]) ).
thf(f26479,plain,
( spl0_349
| spl0_294 ),
inference(avatar_split_clause,[],[f26476,f12122,f15215]) ).
thf(f26480,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_165
| spl0_294 ),
inference(forward_subsumption_resolution,[],[f26477,f14613]) ).
thf(f26481,plain,
( spl0_349
| spl0_165
| spl0_294 ),
inference(avatar_split_clause,[],[f26480,f12122,f4411,f15215]) ).
thf(f26488,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_293
| ~ spl0_506 ),
inference(constrained_superposition,[],[f26328,f12115]) ).
thf(f26502,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_293
| ~ spl0_506 ),
inference(trivial_inequality_removal,[],[f26488]) ).
thf(f26507,plain,
( ~ spl0_371
| ~ spl0_293
| ~ spl0_506 ),
inference(avatar_split_clause,[],[f26502,f26327,f12114,f15781]) ).
thf(f26513,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f42,f12123]) ).
thf(f26524,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f26513]) ).
thf(f26533,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_294
| spl0_455 ),
inference(forward_subsumption_resolution,[],[f26524,f21815]) ).
thf(f26538,plain,
( spl0_505
| ~ spl0_294
| spl0_455 ),
inference(avatar_split_clause,[],[f26533,f21814,f12122,f26322]) ).
thf(f26545,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_41
| ~ spl0_61 ),
inference(constrained_superposition,[],[f993,f714]) ).
thf(f26546,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_61 ),
inference(constrained_superposition,[],[f993,f52]) ).
thf(f26549,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_1
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f26546]) ).
thf(f26551,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_41
| ~ spl0_61 ),
inference(trivial_inequality_removal,[],[f26545]) ).
thf(f26553,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_1
| ~ spl0_61
| spl0_455 ),
inference(forward_subsumption_resolution,[],[f26549,f21815]) ).
thf(f26554,plain,
( $false
| ~ spl0_21
| ~ spl0_41
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f26551,f462]) ).
thf(f26555,plain,
( ~ spl0_21
| ~ spl0_41
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f26554]) ).
thf(f26556,plain,
( $false
| ~ spl0_1
| ~ spl0_21
| ~ spl0_61
| spl0_455 ),
inference(forward_subsumption_resolution,[],[f26553,f462]) ).
thf(f26557,plain,
( ~ spl0_1
| ~ spl0_21
| ~ spl0_61
| spl0_455 ),
inference(avatar_contradiction_clause,[],[f26556]) ).
thf(f26566,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_150 ),
inference(constrained_superposition,[],[f971,f4329]) ).
thf(f26569,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_60
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f26566]) ).
thf(f26641,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_181 ),
inference(constrained_superposition,[],[f5400,f35]) ).
thf(f26648,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f26641]) ).
thf(f26650,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_181
| spl0_238 ),
inference(forward_subsumption_resolution,[],[f26648,f22592]) ).
thf(f26651,plain,
( ~ spl0_12
| ~ spl0_181
| spl0_238 ),
inference(avatar_split_clause,[],[f26650,f9641,f5399,f173]) ).
thf(f26655,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_394 ),
inference(constrained_superposition,[],[f547,f17666]) ).
thf(f26662,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_394 ),
inference(trivial_inequality_removal,[],[f26655]) ).
thf(f26667,plain,
( $false
| ~ spl0_26
| ~ spl0_394
| ~ spl0_481 ),
inference(forward_subsumption_resolution,[],[f26662,f22595]) ).
thf(f26668,plain,
( ~ spl0_26
| ~ spl0_394
| ~ spl0_481 ),
inference(avatar_contradiction_clause,[],[f26667]) ).
thf(f26709,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f161,f14655]) ).
thf(f26720,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f26709]) ).
thf(f26731,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_60
| ~ spl0_150
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f26720,f26569]) ).
thf(f26736,plain,
( spl0_415
| ~ spl0_60
| ~ spl0_150
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f26731,f14654,f4328,f970,f18977]) ).
thf(f26762,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f4935,f77]) ).
thf(f26770,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f26762]) ).
thf(f26788,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_175
| ~ spl0_348 ),
inference(constrained_superposition,[],[f4935,f20465]) ).
thf(f26799,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_175
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f26788]) ).
thf(f26806,plain,
( ~ spl0_494
| ~ spl0_175
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f26799,f15211,f4934,f25328]) ).
thf(f26819,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_407
| ~ spl0_471 ),
inference(constrained_superposition,[],[f22140,f18245]) ).
thf(f26821,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_407
| ~ spl0_471 ),
inference(trivial_inequality_removal,[],[f26819]) ).
thf(f26825,plain,
( $false
| ~ spl0_21
| ~ spl0_407
| ~ spl0_471 ),
inference(forward_subsumption_resolution,[],[f26821,f462]) ).
thf(f26826,plain,
( ~ spl0_21
| ~ spl0_407
| ~ spl0_471 ),
inference(avatar_contradiction_clause,[],[f26825]) ).
thf(f26830,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_349
| ~ spl0_413 ),
inference(constrained_superposition,[],[f18594,f15216]) ).
thf(f26834,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_349
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f26830]) ).
thf(f26837,plain,
( $false
| ~ spl0_37
| ~ spl0_349
| ~ spl0_413 ),
inference(forward_subsumption_resolution,[],[f26834,f700]) ).
thf(f26838,plain,
( ~ spl0_37
| ~ spl0_349
| ~ spl0_413 ),
inference(avatar_contradiction_clause,[],[f26837]) ).
thf(f26871,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_354
| ~ spl0_460 ),
inference(constrained_superposition,[],[f21842,f15235]) ).
thf(f26877,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_354
| ~ spl0_460 ),
inference(trivial_inequality_removal,[],[f26871]) ).
thf(f26882,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_367 ),
inference(constrained_superposition,[],[f971,f15767]) ).
thf(f26889,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f26882]) ).
thf(f26925,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_336
| ~ spl0_430 ),
inference(constrained_superposition,[],[f19675,f15016]) ).
thf(f26930,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_336
| ~ spl0_430 ),
inference(trivial_inequality_removal,[],[f26925]) ).
thf(f26931,plain,
( $false
| ~ spl0_37
| ~ spl0_336
| ~ spl0_430 ),
inference(forward_subsumption_resolution,[],[f26930,f700]) ).
thf(f26932,plain,
( ~ spl0_37
| ~ spl0_336
| ~ spl0_430 ),
inference(avatar_contradiction_clause,[],[f26931]) ).
thf(f26954,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_468 ),
inference(constrained_superposition,[],[f22039,f77]) ).
thf(f26958,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_468 ),
inference(trivial_inequality_removal,[],[f26954]) ).
thf(f26961,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_60
| ~ spl0_367
| ~ spl0_468 ),
inference(forward_subsumption_resolution,[],[f26958,f26889]) ).
thf(f26962,plain,
( ~ spl0_12
| ~ spl0_60
| ~ spl0_367
| ~ spl0_468 ),
inference(avatar_split_clause,[],[f26961,f22038,f15766,f970,f173]) ).
thf(f26964,plain,
( ~ spl0_397
| ~ spl0_354
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f26877,f21841,f15234,f17688]) ).
thf(f26983,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_367
| ~ spl0_453 ),
inference(constrained_superposition,[],[f21807,f15767]) ).
thf(f26987,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_367
| ~ spl0_453 ),
inference(trivial_inequality_removal,[],[f26983]) ).
thf(f26988,plain,
( $false
| ~ spl0_41
| ~ spl0_367
| ~ spl0_453 ),
inference(forward_subsumption_resolution,[],[f26987,f714]) ).
thf(f26989,plain,
( ~ spl0_41
| ~ spl0_367
| ~ spl0_453 ),
inference(avatar_contradiction_clause,[],[f26988]) ).
thf(f26990,plain,
( spl0_305
| ~ spl0_58
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f26770,f4934,f951,f12841]) ).
thf(f26997,plain,
( spl0_37
| ~ spl0_30
| ~ spl0_506 ),
inference(avatar_split_clause,[],[f26449,f26327,f610,f699]) ).
thf(f26998,plain,
( spl0_84
| spl0_37
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f25981,f1598,f699,f1629]) ).
thf(f27018,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_39
| ~ spl0_460 ),
inference(constrained_superposition,[],[f21842,f707]) ).
thf(f27026,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_39
| ~ spl0_460 ),
inference(trivial_inequality_removal,[],[f27018]) ).
thf(f27037,plain,
( ~ spl0_6
| ~ spl0_39
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f27026,f21841,f706,f119]) ).
thf(f27073,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_78
| ~ spl0_460 ),
inference(constrained_superposition,[],[f21842,f1429]) ).
thf(f27079,plain,
( ! [X0: $i] :
( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_78
| ~ spl0_460 ),
inference(trivial_inequality_removal,[],[f27073]) ).
thf(f27085,plain,
( ( $true != $true )
| ~ spl0_78
| ~ spl0_397
| ~ spl0_460 ),
inference(constrained_superposition,[],[f27079,f17689]) ).
thf(f27087,plain,
( $false
| ~ spl0_78
| ~ spl0_397
| ~ spl0_460 ),
inference(trivial_inequality_removal,[],[f27085]) ).
thf(f27088,plain,
( ~ spl0_78
| ~ spl0_397
| ~ spl0_460 ),
inference(avatar_contradiction_clause,[],[f27087]) ).
thf(f27118,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_34
| ~ spl0_197 ),
inference(constrained_superposition,[],[f650,f6088]) ).
thf(f27123,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_34
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f27118]) ).
thf(f27125,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_34
| ~ spl0_41
| ~ spl0_197 ),
inference(forward_subsumption_resolution,[],[f27123,f714]) ).
thf(f27127,plain,
( spl0_470
| ~ spl0_34
| ~ spl0_41
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f27125,f6087,f713,f649,f22128]) ).
thf(f27261,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_197
| ~ spl0_461 ),
inference(constrained_superposition,[],[f21849,f6088]) ).
thf(f27264,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_197
| ~ spl0_461 ),
inference(trivial_inequality_removal,[],[f27261]) ).
thf(f27267,plain,
( $false
| ~ spl0_41
| ~ spl0_197
| ~ spl0_461 ),
inference(forward_subsumption_resolution,[],[f27264,f714]) ).
thf(f27268,plain,
( ~ spl0_41
| ~ spl0_197
| ~ spl0_461 ),
inference(avatar_contradiction_clause,[],[f27267]) ).
thf(f27295,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f4935,f3214]) ).
thf(f27298,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ X0 ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f27295]) ).
thf(f27309,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_207 ),
inference(constrained_superposition,[],[f6146,f35]) ).
thf(f27317,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_207 ),
inference(trivial_inequality_removal,[],[f27309]) ).
thf(f27319,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_207
| spl0_277 ),
inference(forward_subsumption_resolution,[],[f27317,f22600]) ).
thf(f27320,plain,
( ~ spl0_12
| ~ spl0_207
| spl0_277 ),
inference(avatar_split_clause,[],[f27319,f12000,f6145,f173]) ).
thf(f27326,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_413
| ~ spl0_470 ),
inference(constrained_superposition,[],[f18594,f22129]) ).
thf(f27327,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_413
| ~ spl0_470 ),
inference(trivial_inequality_removal,[],[f27326]) ).
thf(f27332,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) )
| ~ spl0_32 ),
inference(constrained_superposition,[],[f638,f76]) ).
thf(f27335,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f27332]) ).
thf(f27349,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_348 ),
inference(constrained_superposition,[],[f15212,f380]) ).
thf(f27350,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_348 ),
inference(constrained_superposition,[],[f15212,f36]) ).
thf(f27353,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_348 ),
inference(trivial_inequality_removal,[],[f27349]) ).
thf(f27354,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_348 ),
inference(trivial_inequality_removal,[],[f27350]) ).
thf(f27357,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_348 ),
inference(forward_subsumption_resolution,[],[f27353,f25]) ).
thf(f27358,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_342
| spl0_348 ),
inference(forward_subsumption_resolution,[],[f27354,f15138]) ).
thf(f27362,plain,
( $false
| ~ spl0_342
| spl0_348 ),
inference(forward_subsumption_resolution,[],[f27357,f15138]) ).
thf(f27363,plain,
( ~ spl0_342
| spl0_348 ),
inference(avatar_contradiction_clause,[],[f27362]) ).
thf(f27364,plain,
( spl0_338
| ~ spl0_342
| spl0_348 ),
inference(avatar_split_clause,[],[f27358,f15211,f15137,f15030]) ).
thf(f27365,plain,
( ~ spl0_6
| ~ spl0_413
| ~ spl0_470 ),
inference(avatar_split_clause,[],[f27327,f22128,f18593,f119]) ).
thf(f27381,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_23
| ~ spl0_418 ),
inference(constrained_superposition,[],[f469,f19284]) ).
thf(f27384,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_23
| ~ spl0_418 ),
inference(trivial_inequality_removal,[],[f27381]) ).
thf(f27386,plain,
( ~ spl0_397
| ~ spl0_23
| ~ spl0_418 ),
inference(avatar_split_clause,[],[f27384,f19283,f468,f17688]) ).
thf(f27422,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_208
| ~ spl0_284 ),
inference(constrained_superposition,[],[f6149,f12035]) ).
thf(f27427,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_208
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f27422]) ).
thf(f27434,plain,
( ~ spl0_152
| ~ spl0_208
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f27427,f12034,f6148,f4335]) ).
thf(f27450,plain,
( ( $true != $true )
| ~ spl0_347
| ~ spl0_357 ),
inference(constrained_superposition,[],[f15266,f15209]) ).
thf(f27451,plain,
( $false
| ~ spl0_347
| ~ spl0_357 ),
inference(trivial_inequality_removal,[],[f27450]) ).
thf(f27452,plain,
( ~ spl0_347
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f27451]) ).
thf(f27483,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f114,f12115]) ).
thf(f27489,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f27483]) ).
thf(f27505,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_367 ),
inference(constrained_superposition,[],[f971,f15767]) ).
thf(f27510,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f27505]) ).
thf(f27533,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f161,f14641]) ).
thf(f27547,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f27533]) ).
thf(f27558,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_208
| ~ spl0_326 ),
inference(constrained_superposition,[],[f6149,f14648]) ).
thf(f27571,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_208
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f27558]) ).
thf(f27578,plain,
( ~ spl0_494
| ~ spl0_208
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f27571,f14647,f6148,f25328]) ).
thf(f27594,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_384 ),
inference(constrained_superposition,[],[f16545,f52]) ).
thf(f27601,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_384 ),
inference(trivial_inequality_removal,[],[f27594]) ).
thf(f27624,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_82
| ~ spl0_293 ),
inference(constrained_superposition,[],[f1599,f12115]) ).
thf(f27627,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_82
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f27624]) ).
thf(f27633,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_82
| ~ spl0_293 ),
inference(constrained_superposition,[],[f27627,f3214]) ).
thf(f27637,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_82
| ~ spl0_293 ),
inference(constrained_superposition,[],[f27627,f76]) ).
thf(f27638,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_82
| ~ spl0_293 ),
inference(constrained_superposition,[],[f27627,f35]) ).
thf(f27641,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_82
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f27633]) ).
thf(f27645,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_82
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f27637]) ).
thf(f27648,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_82
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f27638]) ).
thf(f27650,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_82
| ~ spl0_293
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f27641,f15266]) ).
thf(f27652,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_82
| spl0_285
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f27645,f12065]) ).
thf(f27654,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_82
| spl0_277
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f27648,f22600]) ).
thf(f27656,plain,
( ~ spl0_152
| ~ spl0_82
| ~ spl0_293
| ~ spl0_357 ),
inference(avatar_split_clause,[],[f27650,f15265,f12114,f1598,f4335]) ).
thf(f27657,plain,
( ~ spl0_58
| ~ spl0_82
| spl0_285
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f27652,f12114,f12064,f1598,f951]) ).
thf(f27658,plain,
( ~ spl0_53
| ~ spl0_82
| spl0_277
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f27654,f12114,f12000,f1598,f874]) ).
thf(f27702,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_376
| ~ spl0_472 ),
inference(constrained_superposition,[],[f15969,f22161]) ).
thf(f27703,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_376
| ~ spl0_472 ),
inference(trivial_inequality_removal,[],[f27702]) ).
thf(f27705,plain,
( $false
| ~ spl0_41
| ~ spl0_376
| ~ spl0_472 ),
inference(forward_subsumption_resolution,[],[f27703,f714]) ).
thf(f27706,plain,
( ~ spl0_41
| ~ spl0_376
| ~ spl0_472 ),
inference(avatar_contradiction_clause,[],[f27705]) ).
thf(f27750,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_324
| ~ spl0_441 ),
inference(constrained_superposition,[],[f21175,f14641]) ).
thf(f27754,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_324
| ~ spl0_441 ),
inference(trivial_inequality_removal,[],[f27750]) ).
thf(f27760,plain,
( $false
| ~ spl0_293
| ~ spl0_324
| ~ spl0_441 ),
inference(forward_subsumption_resolution,[],[f27754,f12115]) ).
thf(f27761,plain,
( ~ spl0_293
| ~ spl0_324
| ~ spl0_441 ),
inference(avatar_contradiction_clause,[],[f27760]) ).
thf(f27770,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ~ spl0_32
| ~ spl0_324 ),
inference(constrained_superposition,[],[f27335,f14641]) ).
thf(f27771,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_326 ),
inference(constrained_superposition,[],[f27335,f14648]) ).
thf(f27772,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_32
| ~ spl0_293 ),
inference(constrained_superposition,[],[f27335,f12115]) ).
thf(f27773,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_328 ),
inference(constrained_superposition,[],[f27335,f14655]) ).
thf(f27776,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_32
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f27770]) ).
thf(f27779,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f27773]) ).
thf(f27781,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f27771]) ).
thf(f27784,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f27772]) ).
thf(f27788,plain,
( ~ spl0_202
| spl0_395
| ~ spl0_32
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f27776,f14640,f637,f17676,f6121]) ).
thf(f27789,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| ~ spl0_328
| spl0_394 ),
inference(forward_subsumption_resolution,[],[f27779,f17681]) ).
thf(f27790,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| spl0_285
| ~ spl0_326 ),
inference(forward_subsumption_resolution,[],[f27781,f12065]) ).
thf(f27792,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_32
| spl0_39
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f27784,f17717]) ).
thf(f27794,plain,
( ~ spl0_153
| ~ spl0_32
| ~ spl0_328
| spl0_394 ),
inference(avatar_split_clause,[],[f27789,f17665,f14654,f637,f4338]) ).
thf(f27795,plain,
( ~ spl0_363
| ~ spl0_32
| spl0_285
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f27790,f14647,f12064,f637,f15369]) ).
thf(f27797,plain,
( ~ spl0_202
| ~ spl0_32
| spl0_39
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f27792,f12114,f706,f637,f6121]) ).
thf(f27825,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_344 ),
inference(constrained_superposition,[],[f15199,f77]) ).
thf(f27831,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f27825]) ).
thf(f27833,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_60
| ~ spl0_344
| ~ spl0_367 ),
inference(forward_subsumption_resolution,[],[f27831,f27510]) ).
thf(f27834,plain,
( ~ spl0_279
| ~ spl0_60
| ~ spl0_344
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f27833,f15766,f15198,f970,f12008]) ).
thf(f27875,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_43
| ~ spl0_293 ),
inference(constrained_superposition,[],[f723,f12115]) ).
thf(f27882,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_43
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f27875]) ).
thf(f27884,plain,
( ~ spl0_202
| spl0_203
| ~ spl0_43
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f27882,f12114,f722,f6124,f6121]) ).
thf(f27889,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_326
| ~ spl0_505 ),
inference(constrained_superposition,[],[f26323,f14648]) ).
thf(f27895,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_326
| ~ spl0_505 ),
inference(trivial_inequality_removal,[],[f27889]) ).
thf(f27900,plain,
( ~ spl0_359
| spl0_468
| ~ spl0_326
| ~ spl0_505 ),
inference(avatar_split_clause,[],[f27895,f26322,f14647,f22038,f15354]) ).
thf(f28002,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_175
| ~ spl0_293 ),
inference(constrained_superposition,[],[f27298,f12115]) ).
thf(f28009,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_175
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f28002]) ).
thf(f28012,plain,
( $false
| ~ spl0_175
| ~ spl0_293
| ~ spl0_357 ),
inference(forward_subsumption_resolution,[],[f28009,f15266]) ).
thf(f28013,plain,
( ~ spl0_175
| ~ spl0_293
| ~ spl0_357 ),
inference(avatar_contradiction_clause,[],[f28012]) ).
thf(f28014,plain,
( spl0_207
| spl0_208
| spl0_39
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f27489,f12114,f706,f6148,f6145]) ).
thf(f28018,plain,
( ~ spl0_455
| spl0_481
| ~ spl0_1
| ~ spl0_384 ),
inference(avatar_split_clause,[],[f27601,f16544,f51,f22594,f21814]) ).
thf(f28021,plain,
( spl0_407
| spl0_416
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f27547,f14640,f19269,f18244]) ).
thf(f28061,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_155
| ~ spl0_420 ),
inference(constrained_superposition,[],[f19404,f4347]) ).
thf(f28069,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_155
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f28061]) ).
thf(f28074,plain,
( spl0_171
| ~ spl0_155
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f28069,f19403,f4346,f4647]) ).
thf(f28139,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_150 ),
inference(constrained_superposition,[],[f23840,f74]) ).
thf(f28140,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f28139]) ).
thf(f28141,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f28140,f25]) ).
thf(f28142,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| spl0_150 ),
inference(constrained_superposition,[],[f1410,f28141]) ).
thf(f28148,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ X2 )
!= $true ) )
| spl0_150 ),
inference(constrained_superposition,[],[f40,f28141]) ).
thf(f28153,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f28148]) ).
thf(f28157,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| spl0_150 ),
inference(duplicate_literal_removal,[],[f28142]) ).
thf(f28158,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f28157]) ).
thf(f28161,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_18
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f28153,f450]) ).
thf(f28163,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_18
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f28158,f450]) ).
thf(f28167,definition,
( spl0_508
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_508])],[avatar_definition]) ).
thf(f28168,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( b @ X0 @ X2 )
!= $true ) )
| ~ spl0_508 ),
inference(avatar_component_clause,[],[f28167]) ).
thf(f28169,plain,
( spl0_175
| spl0_508
| ~ spl0_18
| spl0_150 ),
inference(avatar_split_clause,[],[f28161,f4328,f449,f28167,f4934]) ).
thf(f28170,plain,
( spl0_82
| ~ spl0_18
| spl0_150 ),
inference(avatar_split_clause,[],[f28163,f4328,f449,f1598]) ).
thf(f28181,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_65
| ~ spl0_293 ),
inference(constrained_superposition,[],[f1087,f12115]) ).
thf(f28182,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_65
| spl0_150 ),
inference(constrained_superposition,[],[f1087,f28141]) ).
thf(f28186,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_65
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f28181]) ).
thf(f28187,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_65
| spl0_150 ),
inference(trivial_inequality_removal,[],[f28182]) ).
thf(f28191,plain,
( ~ spl0_351
| ~ spl0_65
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f28186,f12114,f1086,f15222]) ).
thf(f28192,plain,
( ~ spl0_291
| ~ spl0_65
| spl0_150 ),
inference(avatar_split_clause,[],[f28187,f4328,f1086,f12105]) ).
thf(f28213,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f47,f12123]) ).
thf(f28221,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f28213]) ).
thf(f28226,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| spl0_277
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f28221,f22600]) ).
thf(f28228,plain,
( spl0_104
| spl0_208
| spl0_277
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f28226,f12122,f12000,f6148,f2291]) ).
thf(f28248,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_150
| ~ spl0_319 ),
inference(constrained_superposition,[],[f14107,f28141]) ).
thf(f28251,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_150
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f28248]) ).
thf(f28269,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_395
| ~ spl0_420 ),
inference(constrained_superposition,[],[f19404,f17677]) ).
thf(f28277,plain,
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_395
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f28269]) ).
thf(f28331,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_395
| ~ spl0_420 ),
inference(constrained_superposition,[],[f4306,f28277]) ).
thf(f28344,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_395
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f28331]) ).
thf(f28346,plain,
( spl0_441
| spl0_178
| spl0_353
| ~ spl0_395
| ~ spl0_420 ),
inference(avatar_split_clause,[],[f28344,f19403,f17676,f15230,f5089,f21174]) ).
thf(f28379,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_348 ),
inference(constrained_superposition,[],[f691,f20465]) ).
thf(f28392,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f28379]) ).
thf(f28396,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true ) )
| spl0_150
| ~ spl0_348 ),
inference(forward_subsumption_resolution,[],[f28392,f23840]) ).
thf(f28398,plain,
( spl0_438
| spl0_150
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f28396,f15211,f4328,f20662]) ).
thf(f28403,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_508 ),
inference(constrained_superposition,[],[f28168,f35]) ).
thf(f28410,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_508 ),
inference(trivial_inequality_removal,[],[f28403]) ).
thf(f28413,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_238
| ~ spl0_508 ),
inference(forward_subsumption_resolution,[],[f28410,f22592]) ).
thf(f28415,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| spl0_238
| ~ spl0_508 ),
inference(constrained_superposition,[],[f28413,f31]) ).
thf(f28417,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| spl0_238
| ~ spl0_508 ),
inference(trivial_inequality_removal,[],[f28415]) ).
thf(f28420,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_238
| ~ spl0_508 ),
inference(constrained_superposition,[],[f22592,f28417]) ).
thf(f28434,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_238
| ~ spl0_508 ),
inference(trivial_inequality_removal,[],[f28420]) ).
thf(f28440,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_238
| ~ spl0_508 ),
inference(forward_subsumption_resolution,[],[f28434,f25]) ).
thf(f28442,plain,
( spl0_169
| spl0_238
| ~ spl0_508 ),
inference(avatar_split_clause,[],[f28440,f28167,f9641,f4492]) ).
thf(f28449,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f6149,f77]) ).
thf(f28451,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f28449]) ).
thf(f28479,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_395
| ~ spl0_453 ),
inference(constrained_superposition,[],[f21807,f17677]) ).
thf(f28482,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_395
| ~ spl0_453 ),
inference(trivial_inequality_removal,[],[f28479]) ).
thf(f28487,plain,
( $false
| ~ spl0_6
| ~ spl0_395
| ~ spl0_453 ),
inference(forward_subsumption_resolution,[],[f28482,f120]) ).
thf(f28488,plain,
( ~ spl0_6
| ~ spl0_395
| ~ spl0_453 ),
inference(avatar_contradiction_clause,[],[f28487]) ).
thf(f28491,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_326
| ~ spl0_463 ),
inference(constrained_superposition,[],[f21859,f14648]) ).
thf(f28493,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_326 ),
inference(constrained_superposition,[],[f161,f14648]) ).
thf(f28502,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_326
| ~ spl0_463 ),
inference(trivial_inequality_removal,[],[f28491]) ).
thf(f28503,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f28493]) ).
thf(f28513,plain,
( spl0_418
| spl0_431
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f28503,f14647,f20132,f19283]) ).
thf(f28529,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_82
| ~ spl0_293 ),
inference(constrained_superposition,[],[f1599,f12115]) ).
thf(f28536,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_82
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f28529]) ).
thf(f28554,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_82
| ~ spl0_293 ),
inference(constrained_superposition,[],[f28536,f3214]) ).
thf(f28566,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_82
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f28554]) ).
thf(f28571,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_82
| spl0_150
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f28566,f28141]) ).
thf(f28572,plain,
( spl0_347
| ~ spl0_82
| spl0_150
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f28571,f12114,f4328,f1598,f15208]) ).
thf(f28599,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_326
| ~ spl0_346 ),
inference(constrained_superposition,[],[f15206,f14648]) ).
thf(f28604,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_346 ),
inference(constrained_superposition,[],[f15206,f35]) ).
thf(f28610,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f28604]) ).
thf(f28611,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_326
| ~ spl0_346 ),
inference(trivial_inequality_removal,[],[f28599]) ).
thf(f28618,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_346
| spl0_397 ),
inference(forward_subsumption_resolution,[],[f28610,f22929]) ).
thf(f28619,plain,
( $false
| ~ spl0_294
| ~ spl0_326
| ~ spl0_346 ),
inference(forward_subsumption_resolution,[],[f28611,f12123]) ).
thf(f28620,plain,
( ~ spl0_294
| ~ spl0_326
| ~ spl0_346 ),
inference(avatar_contradiction_clause,[],[f28619]) ).
thf(f28622,plain,
( ~ spl0_66
| ~ spl0_346
| spl0_397 ),
inference(avatar_split_clause,[],[f28618,f17688,f15205,f1089]) ).
thf(f28624,plain,
( ~ spl0_153
| spl0_150
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f28251,f14106,f4328,f4338]) ).
thf(f28625,plain,
( ~ spl0_371
| ~ spl0_326
| ~ spl0_463 ),
inference(avatar_split_clause,[],[f28502,f21858,f14647,f15781]) ).
thf(f28626,plain,
( $false
| ~ spl0_18
| ~ spl0_354 ),
inference(forward_subsumption_resolution,[],[f15235,f450]) ).
thf(f28627,plain,
( ~ spl0_18
| ~ spl0_354 ),
inference(avatar_contradiction_clause,[],[f28626]) ).
thf(f28630,plain,
( spl0_407
| ~ spl0_58
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f28451,f6148,f951,f18244]) ).
thf(f28701,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_150
| ~ spl0_480 ),
inference(constrained_superposition,[],[f22490,f4329]) ).
thf(f28705,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_150
| ~ spl0_480 ),
inference(trivial_inequality_removal,[],[f28701]) ).
thf(f28717,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_394
| ~ spl0_452 ),
inference(constrained_superposition,[],[f21803,f17666]) ).
thf(f28725,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_394
| ~ spl0_452 ),
inference(trivial_inequality_removal,[],[f28717]) ).
thf(f28728,plain,
( $false
| ~ spl0_6
| ~ spl0_394
| ~ spl0_452 ),
inference(forward_subsumption_resolution,[],[f28725,f120]) ).
thf(f28729,plain,
( ~ spl0_6
| ~ spl0_394
| ~ spl0_452 ),
inference(avatar_contradiction_clause,[],[f28728]) ).
thf(f28824,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_187
| ~ spl0_434 ),
inference(constrained_superposition,[],[f5421,f20545]) ).
thf(f28827,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_187
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f28824]) ).
thf(f28835,plain,
( ~ spl0_202
| ~ spl0_187
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f28827,f20544,f5420,f6121]) ).
thf(f28853,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f161,f14655]) ).
thf(f28857,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f114,f14655]) ).
thf(f28864,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f28857]) ).
thf(f28866,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f28853]) ).
thf(f28872,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_328
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f28864,f14945]) ).
thf(f28873,plain,
( spl0_415
| spl0_305
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f28866,f14654,f12841,f18977]) ).
thf(f28879,plain,
( spl0_333
| spl0_181
| ~ spl0_328
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f28872,f14944,f14654,f5399,f15003]) ).
thf(f28891,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_168
| ~ spl0_238 ),
inference(constrained_superposition,[],[f4475,f9642]) ).
thf(f28892,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_168 ),
inference(constrained_superposition,[],[f4475,f52]) ).
thf(f28895,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f28892]) ).
thf(f28897,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_168
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f28891]) ).
thf(f28899,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_150
| ~ spl0_168
| ~ spl0_480 ),
inference(forward_subsumption_resolution,[],[f28895,f28705]) ).
thf(f28900,plain,
( $false
| ~ spl0_168
| ~ spl0_238
| ~ spl0_455 ),
inference(forward_subsumption_resolution,[],[f28897,f22477]) ).
thf(f28901,plain,
( ~ spl0_168
| ~ spl0_238
| ~ spl0_455 ),
inference(avatar_contradiction_clause,[],[f28900]) ).
thf(f28902,plain,
( $false
| ~ spl0_1
| ~ spl0_150
| ~ spl0_168
| ~ spl0_455
| ~ spl0_480 ),
inference(forward_subsumption_resolution,[],[f28899,f22477]) ).
thf(f28903,plain,
( ~ spl0_1
| ~ spl0_150
| ~ spl0_168
| ~ spl0_455
| ~ spl0_480 ),
inference(avatar_contradiction_clause,[],[f28902]) ).
thf(f28915,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f450,f74]) ).
thf(f28917,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f28915]) ).
thf(f28939,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_23
| ~ spl0_305 ),
inference(constrained_superposition,[],[f469,f12842]) ).
thf(f28943,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_23
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f28939]) ).
thf(f28947,plain,
( $false
| ~ spl0_23
| ~ spl0_238
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f28943,f9642]) ).
thf(f28948,plain,
( ~ spl0_23
| ~ spl0_238
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[],[f28947]) ).
thf(f28967,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_23
| ~ spl0_64 ),
inference(constrained_superposition,[],[f469,f1084]) ).
thf(f28973,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_23
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f28967]) ).
thf(f28978,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_23
| ~ spl0_64
| ~ spl0_238 ),
inference(constrained_superposition,[],[f28973,f9642]) ).
thf(f28980,plain,
( ( z
= ( s @ z ) )
| ~ spl0_23
| ~ spl0_64
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f28978]) ).
thf(f28982,plain,
( $false
| ~ spl0_23
| ~ spl0_64
| ~ spl0_238 ),
inference(forward_subsumption_resolution,[],[f28980,f25]) ).
thf(f28983,plain,
( ~ spl0_23
| ~ spl0_64
| ~ spl0_238 ),
inference(avatar_contradiction_clause,[],[f28982]) ).
thf(f29101,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f4935,f34]) ).
thf(f29115,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f29101]) ).
thf(f29118,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_348 ),
inference(constrained_superposition,[],[f15212,f36]) ).
thf(f29123,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_348 ),
inference(trivial_inequality_removal,[],[f29118]) ).
thf(f29126,plain,
( spl0_353
| spl0_338
| spl0_348 ),
inference(avatar_split_clause,[],[f29123,f15211,f15030,f15230]) ).
thf(f29129,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_269
| ~ spl0_353 ),
inference(constrained_superposition,[],[f10521,f15231]) ).
thf(f29130,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_353 ),
inference(constrained_superposition,[],[f28,f15231]) ).
thf(f29132,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f29130]) ).
thf(f29133,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_269
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f29129]) ).
thf(f29135,plain,
( spl0_167
| spl0_388
| ~ spl0_353 ),
inference(avatar_split_clause,[],[f29132,f15230,f17081,f4440]) ).
thf(f29138,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_430
| ~ spl0_481 ),
inference(constrained_superposition,[],[f19675,f22595]) ).
thf(f29141,plain,
( ( $true
!= ( r @ ( s @ z ) @ z ) )
| ~ spl0_430
| ~ spl0_481 ),
inference(trivial_inequality_removal,[],[f29138]) ).
thf(f29142,plain,
( $false
| ~ spl0_6
| ~ spl0_430
| ~ spl0_481 ),
inference(forward_subsumption_resolution,[],[f29141,f120]) ).
thf(f29143,plain,
( ~ spl0_6
| ~ spl0_430
| ~ spl0_481 ),
inference(avatar_contradiction_clause,[],[f29142]) ).
thf(f29172,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_82 ),
inference(constrained_superposition,[],[f1599,f34]) ).
thf(f29177,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_82 ),
inference(trivial_inequality_removal,[],[f29172]) ).
thf(f29211,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_35
| ~ spl0_238 ),
inference(constrained_superposition,[],[f668,f9642]) ).
thf(f29221,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_35
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f29211]) ).
thf(f29234,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_344 ),
inference(constrained_superposition,[],[f15199,f379]) ).
thf(f29235,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_344 ),
inference(constrained_superposition,[],[f15199,f77]) ).
thf(f29236,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f29234]) ).
thf(f29237,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f29235]) ).
thf(f29243,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_18
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f29236,f450]) ).
thf(f29244,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_269
| ~ spl0_344
| ~ spl0_353 ),
inference(forward_subsumption_resolution,[],[f29237,f29133]) ).
thf(f29245,plain,
( $false
| ~ spl0_18
| ~ spl0_294
| ~ spl0_344 ),
inference(forward_subsumption_resolution,[],[f29243,f12123]) ).
thf(f29246,plain,
( ~ spl0_18
| ~ spl0_294
| ~ spl0_344 ),
inference(avatar_contradiction_clause,[],[f29245]) ).
thf(f29247,plain,
( ~ spl0_279
| ~ spl0_269
| ~ spl0_344
| ~ spl0_353 ),
inference(avatar_split_clause,[],[f29244,f15230,f15198,f10520,f12008]) ).
thf(f29251,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_269
| ~ spl0_347 ),
inference(constrained_superposition,[],[f10521,f15209]) ).
thf(f29254,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_269
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f29251]) ).
thf(f29264,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_417 ),
inference(constrained_superposition,[],[f19274,f76]) ).
thf(f29272,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_417 ),
inference(trivial_inequality_removal,[],[f29264]) ).
thf(f29325,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_231 ),
inference(constrained_superposition,[],[f9581,f34]) ).
thf(f29334,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_231 ),
inference(trivial_inequality_removal,[],[f29325]) ).
thf(f29341,plain,
( spl0_477
| spl0_29
| ~ spl0_30
| ~ spl0_231 ),
inference(avatar_split_clause,[],[f29334,f9580,f610,f586,f22441]) ).
thf(f29350,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_99
| ~ spl0_353 ),
inference(constrained_superposition,[],[f2038,f15231]) ).
thf(f29351,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_99
| ~ spl0_347 ),
inference(constrained_superposition,[],[f2038,f15209]) ).
thf(f29358,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_99
| ~ spl0_353 ),
inference(trivial_inequality_removal,[],[f29350]) ).
thf(f29361,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_99
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f29351]) ).
thf(f29365,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_99
| ~ spl0_150
| ~ spl0_353 ),
inference(forward_subsumption_resolution,[],[f29358,f4329]) ).
thf(f29367,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_99
| ~ spl0_150
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f29361,f4329]) ).
thf(f29372,plain,
( $false
| ~ spl0_99
| ~ spl0_150
| ~ spl0_269
| ~ spl0_353 ),
inference(forward_subsumption_resolution,[],[f29365,f29133]) ).
thf(f29373,plain,
( ~ spl0_99
| ~ spl0_150
| ~ spl0_269
| ~ spl0_353 ),
inference(avatar_contradiction_clause,[],[f29372]) ).
thf(f29376,plain,
( $false
| ~ spl0_99
| ~ spl0_150
| ~ spl0_269
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f29367,f29254]) ).
thf(f29377,plain,
( ~ spl0_99
| ~ spl0_150
| ~ spl0_269
| ~ spl0_347 ),
inference(avatar_contradiction_clause,[],[f29376]) ).
thf(f29383,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_294
| ~ spl0_431 ),
inference(constrained_superposition,[],[f20133,f12123]) ).
thf(f29389,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_294
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f29383]) ).
thf(f29448,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_326
| ~ spl0_502 ),
inference(constrained_superposition,[],[f26259,f14648]) ).
thf(f29451,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_502 ),
inference(constrained_superposition,[],[f26259,f77]) ).
thf(f29452,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_502 ),
inference(trivial_inequality_removal,[],[f29451]) ).
thf(f29453,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| ~ spl0_326
| ~ spl0_502 ),
inference(trivial_inequality_removal,[],[f29448]) ).
thf(f29464,definition,
( spl0_511
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_511])],[avatar_definition]) ).
thf(f29465,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_511 ),
inference(avatar_component_clause,[],[f29464]) ).
thf(f29466,plain,
( spl0_346
| ~ spl0_511
| ~ spl0_326
| ~ spl0_502 ),
inference(avatar_split_clause,[],[f29453,f26258,f14647,f29464,f15205]) ).
thf(f29468,plain,
( spl0_407
| spl0_69
| ~ spl0_68
| ~ spl0_502 ),
inference(avatar_split_clause,[],[f29452,f26258,f1152,f1178,f18244]) ).
thf(f29484,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_511 ),
inference(constrained_superposition,[],[f29465,f36]) ).
thf(f29488,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_511 ),
inference(trivial_inequality_removal,[],[f29484]) ).
thf(f29492,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_18
| spl0_511 ),
inference(forward_subsumption_resolution,[],[f29488,f450]) ).
thf(f29494,plain,
( spl0_340
| ~ spl0_18
| spl0_511 ),
inference(avatar_split_clause,[],[f29492,f29464,f449,f15101]) ).
thf(f29501,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_22
| ~ spl0_324 ),
inference(constrained_superposition,[],[f465,f14641]) ).
thf(f29502,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_22
| ~ spl0_326 ),
inference(constrained_superposition,[],[f465,f14648]) ).
thf(f29506,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_22
| ~ spl0_294 ),
inference(constrained_superposition,[],[f465,f12123]) ).
thf(f29511,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_22
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f29502]) ).
thf(f29515,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_22
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f29501]) ).
thf(f29518,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_22
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f29506]) ).
thf(f29524,plain,
( spl0_407
| ~ spl0_359
| spl0_468
| ~ spl0_22
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f29511,f14647,f464,f22038,f15354,f18244]) ).
thf(f29525,plain,
( spl0_418
| spl0_206
| ~ spl0_351
| ~ spl0_22
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f29515,f14640,f464,f15222,f6137,f19283]) ).
thf(f29527,plain,
( spl0_407
| ~ spl0_66
| spl0_65
| ~ spl0_22
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f29518,f12122,f464,f1086,f1089,f18244]) ).
thf(f29530,plain,
( spl0_285
| ~ spl0_30
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f29272,f19273,f610,f12064]) ).
thf(f29535,plain,
( ~ spl0_21
| spl0_305
| ~ spl0_35
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f29221,f9641,f667,f12841,f461]) ).
thf(f29567,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_65 ),
inference(constrained_superposition,[],[f1087,f77]) ).
thf(f29568,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_65 ),
inference(trivial_inequality_removal,[],[f29567]) ).
thf(f29584,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_35
| ~ spl0_397 ),
inference(constrained_superposition,[],[f668,f17689]) ).
thf(f29587,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_35
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f29584]) ).
thf(f29590,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_21
| ~ spl0_35
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f29587,f462]) ).
thf(f29592,plain,
( spl0_418
| ~ spl0_21
| ~ spl0_35
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f29590,f17688,f667,f461,f19283]) ).
thf(f29621,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_431 ),
inference(constrained_superposition,[],[f20133,f28917]) ).
thf(f29635,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_18
| ~ spl0_431 ),
inference(trivial_inequality_removal,[],[f29621]) ).
thf(f29694,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_327
| ~ spl0_471 ),
inference(constrained_superposition,[],[f22140,f14651]) ).
thf(f29695,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_327 ),
inference(constrained_superposition,[],[f28,f14651]) ).
thf(f29696,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_471 ),
inference(trivial_inequality_removal,[],[f29694]) ).
thf(f29700,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f29695]) ).
thf(f29701,plain,
( spl0_377
| spl0_357
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f29700,f14650,f15265,f15986]) ).
thf(f29707,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_426 ),
inference(constrained_superposition,[],[f19466,f35]) ).
thf(f29711,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ~ spl0_426 ),
inference(trivial_inequality_removal,[],[f29707]) ).
thf(f29756,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_377
| ~ spl0_397 ),
inference(constrained_superposition,[],[f15987,f17689]) ).
thf(f29757,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_377 ),
inference(constrained_superposition,[],[f15987,f52]) ).
thf(f29761,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_377
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f29756]) ).
thf(f29762,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_377 ),
inference(trivial_inequality_removal,[],[f29757]) ).
thf(f29766,plain,
( $false
| ~ spl0_377
| ~ spl0_397
| ~ spl0_470 ),
inference(forward_subsumption_resolution,[],[f29761,f22129]) ).
thf(f29767,plain,
( ~ spl0_377
| ~ spl0_397
| ~ spl0_470 ),
inference(avatar_contradiction_clause,[],[f29766]) ).
thf(f29768,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_327
| ~ spl0_377
| ~ spl0_471 ),
inference(forward_subsumption_resolution,[],[f29762,f29696]) ).
thf(f29769,plain,
( $false
| ~ spl0_1
| ~ spl0_327
| ~ spl0_377
| ~ spl0_470
| ~ spl0_471 ),
inference(forward_subsumption_resolution,[],[f29768,f22129]) ).
thf(f29770,plain,
( ~ spl0_1
| ~ spl0_327
| ~ spl0_377
| ~ spl0_470
| ~ spl0_471 ),
inference(avatar_contradiction_clause,[],[f29769]) ).
thf(f29771,plain,
( spl0_319
| ~ spl0_68
| ~ spl0_294
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f29389,f20132,f12122,f1152,f14106]) ).
thf(f29774,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_18
| ~ spl0_431 ),
inference(forward_subsumption_resolution,[],[f29635,f25]) ).
thf(f29776,plain,
( ~ spl0_68
| spl0_319
| ~ spl0_18
| ~ spl0_431 ),
inference(avatar_split_clause,[],[f29774,f20132,f449,f14106,f1152]) ).
thf(f29798,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_417 ),
inference(constrained_superposition,[],[f19274,f3214]) ).
thf(f29806,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_417 ),
inference(trivial_inequality_removal,[],[f29798]) ).
thf(f29817,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_327
| ~ spl0_413 ),
inference(constrained_superposition,[],[f18594,f14651]) ).
thf(f29819,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_327
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f29817]) ).
thf(f29821,plain,
( $false
| ~ spl0_327
| ~ spl0_413
| ~ spl0_418 ),
inference(forward_subsumption_resolution,[],[f29819,f19284]) ).
thf(f29822,plain,
( ~ spl0_327
| ~ spl0_413
| ~ spl0_418 ),
inference(avatar_contradiction_clause,[],[f29821]) ).
thf(f29823,plain,
( spl0_397
| ~ spl0_12
| ~ spl0_426 ),
inference(avatar_split_clause,[],[f29711,f19465,f173,f17688]) ).
thf(f29858,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_146
| ~ spl0_294 ),
inference(constrained_superposition,[],[f3824,f12123]) ).
thf(f29859,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_18
| ~ spl0_146 ),
inference(constrained_superposition,[],[f3824,f28917]) ).
thf(f29865,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_18
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f29859]) ).
thf(f29873,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f29858]) ).
thf(f29874,plain,
( ~ spl0_66
| spl0_123
| ~ spl0_18
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f29865,f3823,f449,f2869,f1089]) ).
thf(f29877,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_146
| spl0_277
| ~ spl0_294 ),
inference(forward_subsumption_resolution,[],[f29873,f22600]) ).
thf(f29879,plain,
( ~ spl0_66
| ~ spl0_146
| spl0_277
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f29877,f12122,f12000,f3823,f1089]) ).
thf(f29883,plain,
( spl0_477
| ~ spl0_53
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f29115,f4934,f874,f22441]) ).
thf(f29886,plain,
( ~ spl0_241
| spl0_347
| ~ spl0_417 ),
inference(avatar_split_clause,[],[f29806,f19273,f15208,f9655]) ).
thf(f29887,plain,
( spl0_455
| spl0_506
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f29177,f1598,f26327,f21814]) ).
thf(f29935,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_26
| ~ spl0_395 ),
inference(constrained_superposition,[],[f547,f17677]) ).
thf(f29942,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_26
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f29935]) ).
thf(f29953,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_168
| ~ spl0_329 ),
inference(constrained_superposition,[],[f4475,f14658]) ).
thf(f29954,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_168
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f29953]) ).
thf(f29958,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_168
| ~ spl0_329 ),
inference(constrained_superposition,[],[f29954,f74]) ).
thf(f29959,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_168
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f29958]) ).
thf(f29960,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_168
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f29959,f25]) ).
thf(f29966,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_168
| ~ spl0_329
| ~ spl0_506 ),
inference(constrained_superposition,[],[f26328,f29960]) ).
thf(f29971,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_168
| ~ spl0_329 ),
inference(constrained_superposition,[],[f3824,f29960]) ).
thf(f29975,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_168
| ~ spl0_329
| ~ spl0_506 ),
inference(trivial_inequality_removal,[],[f29966]) ).
thf(f29976,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_168
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f29971]) ).
thf(f29990,plain,
( ~ spl0_450
| ~ spl0_168
| ~ spl0_329
| ~ spl0_506 ),
inference(avatar_split_clause,[],[f29975,f26327,f14657,f4474,f21675]) ).
thf(f29991,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_41
| ~ spl0_146
| ~ spl0_168
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f29976,f22597]) ).
thf(f29999,plain,
( ~ spl0_373
| spl0_41
| ~ spl0_146
| ~ spl0_168
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f29991,f14657,f4474,f3823,f713,f15887]) ).
thf(f30001,definition,
( spl0_513
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_513])],[avatar_definition]) ).
thf(f30002,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_513 ),
inference(avatar_component_clause,[],[f30001]) ).
thf(f30124,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_123
| spl0_397 ),
inference(constrained_superposition,[],[f22929,f2870]) ).
thf(f30128,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( z = X0 )
| ( ( r @ z @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) ) )
| ~ spl0_123 ),
inference(constrained_superposition,[],[f28,f2870]) ).
thf(f30129,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ z @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( z = X0 ) )
| ~ spl0_123 ),
inference(trivial_inequality_removal,[],[f30128]) ).
thf(f30133,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_123
| spl0_397 ),
inference(trivial_inequality_removal,[],[f30124]) ).
thf(f30135,definition,
( spl0_514
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_514])],[avatar_definition]) ).
thf(f30136,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( z = X0 ) )
| ~ spl0_514 ),
inference(avatar_component_clause,[],[f30135]) ).
thf(f30137,plain,
( spl0_514
| spl0_3
| ~ spl0_123 ),
inference(avatar_split_clause,[],[f30129,f2869,f99,f30135]) ).
thf(f30140,plain,
( $false
| ~ spl0_123
| spl0_397 ),
inference(forward_subsumption_resolution,[],[f30133,f25]) ).
thf(f30141,plain,
( ~ spl0_123
| spl0_397 ),
inference(avatar_contradiction_clause,[],[f30140]) ).
thf(f30142,plain,
( ~ spl0_12
| spl0_37
| ~ spl0_65 ),
inference(avatar_split_clause,[],[f29568,f1086,f699,f173]) ).
thf(f30147,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_455 ),
inference(constrained_superposition,[],[f28,f22477]) ).
thf(f30148,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f30147]) ).
thf(f30150,plain,
( spl0_480
| spl0_18
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f30148,f21814,f449,f22489]) ).
thf(f30179,plain,
( ( z
= ( s @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_150 ),
inference(constrained_superposition,[],[f23840,f74]) ).
thf(f30180,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f30179]) ).
thf(f30181,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f30180,f25]) ).
thf(f30188,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| spl0_150 ),
inference(constrained_superposition,[],[f47,f30181]) ).
thf(f30195,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f30188]) ).
thf(f30211,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_157
| ~ spl0_460 ),
inference(constrained_superposition,[],[f21842,f4354]) ).
thf(f30213,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_157
| ~ spl0_460 ),
inference(trivial_inequality_removal,[],[f30211]) ).
thf(f30219,plain,
( $false
| ~ spl0_157
| ~ spl0_238
| ~ spl0_460 ),
inference(forward_subsumption_resolution,[],[f30213,f9642]) ).
thf(f30220,plain,
( ~ spl0_157
| ~ spl0_238
| ~ spl0_460 ),
inference(avatar_contradiction_clause,[],[f30219]) ).
thf(f30221,plain,
( spl0_41
| spl0_180
| spl0_175
| spl0_150 ),
inference(avatar_split_clause,[],[f30195,f4328,f4934,f5097,f713]) ).
thf(f30222,plain,
( ( $true != $true )
| ~ spl0_395
| ~ spl0_425 ),
inference(constrained_superposition,[],[f19430,f17677]) ).
thf(f30223,plain,
( $false
| ~ spl0_395
| ~ spl0_425 ),
inference(trivial_inequality_removal,[],[f30222]) ).
thf(f30224,plain,
( ~ spl0_395
| ~ spl0_425 ),
inference(avatar_contradiction_clause,[],[f30223]) ).
thf(f30276,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f5098,f378]) ).
thf(f30278,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_180 ),
inference(constrained_superposition,[],[f5098,f76]) ).
thf(f30283,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f30278]) ).
thf(f30285,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_180 ),
inference(trivial_inequality_removal,[],[f30276]) ).
thf(f30470,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f4306,f14641]) ).
thf(f30473,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_324 ),
inference(constrained_superposition,[],[f3824,f14641]) ).
thf(f30474,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_324 ),
inference(constrained_superposition,[],[f47,f14641]) ).
thf(f30477,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f30473]) ).
thf(f30478,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f30470]) ).
thf(f30485,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) )
| ~ spl0_324 ),
inference(trivial_inequality_removal,[],[f30474]) ).
thf(f30488,plain,
( spl0_355
| spl0_353
| spl0_344
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f30478,f14640,f15198,f15230,f15238]) ).
thf(f30498,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_203
| ~ spl0_326 ),
inference(constrained_superposition,[],[f6125,f14648]) ).
thf(f30500,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_326 ),
inference(constrained_superposition,[],[f4306,f14648]) ).
thf(f30502,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_326 ),
inference(constrained_superposition,[],[f114,f14648]) ).
thf(f30503,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_326 ),
inference(constrained_superposition,[],[f3824,f14648]) ).
thf(f30504,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_326 ),
inference(constrained_superposition,[],[f47,f14648]) ).
thf(f30507,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_203
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f30498]) ).
thf(f30508,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f30503]) ).
thf(f30513,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f30500]) ).
thf(f30516,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f30504]) ).
thf(f30517,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f30502]) ).
thf(f30519,plain,
( ~ spl0_363
| ~ spl0_203
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f30507,f14647,f6124,f15369]) ).
thf(f30521,plain,
( spl0_347
| spl0_344
| spl0_365
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f30513,f14647,f15377,f15198,f15208]) ).
thf(f30523,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_285
| ~ spl0_326 ),
inference(forward_subsumption_resolution,[],[f30517,f12065]) ).
thf(f30525,plain,
( spl0_344
| spl0_426
| spl0_285
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f30523,f14647,f12064,f19465,f15198]) ).
thf(f30532,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_397
| ~ spl0_408 ),
inference(constrained_superposition,[],[f18328,f17689]) ).
thf(f30536,plain,
( ( ( r @ z @ ( s @ z ) )
!= $true )
| ~ spl0_397
| ~ spl0_408 ),
inference(trivial_inequality_removal,[],[f30532]) ).
thf(f30540,plain,
( $false
| ~ spl0_21
| ~ spl0_397
| ~ spl0_408 ),
inference(forward_subsumption_resolution,[],[f30536,f462]) ).
thf(f30541,plain,
( ~ spl0_21
| ~ spl0_397
| ~ spl0_408 ),
inference(avatar_contradiction_clause,[],[f30540]) ).
thf(f30542,plain,
( spl0_397
| spl0_417
| spl0_344
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f30485,f14640,f15198,f19273,f17688]) ).
thf(f30544,plain,
( spl0_397
| ~ spl0_351
| ~ spl0_146
| ~ spl0_324 ),
inference(avatar_split_clause,[],[f30477,f14640,f3823,f15222,f17688]) ).
thf(f30545,plain,
( ~ spl0_359
| spl0_277
| ~ spl0_146
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f30508,f14647,f3823,f12000,f15354]) ).
thf(f30546,plain,
( spl0_277
| spl0_463
| spl0_344
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f30516,f14647,f15198,f21858,f12000]) ).
thf(f30580,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_333 ),
inference(constrained_superposition,[],[f15004,f77]) ).
thf(f30586,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_333 ),
inference(trivial_inequality_removal,[],[f30580]) ).
thf(f30588,plain,
( spl0_429
| ~ spl0_173
| ~ spl0_333 ),
inference(avatar_split_clause,[],[f30586,f15003,f4832,f19666]) ).
thf(f30599,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_64
| ~ spl0_356 ),
inference(constrained_superposition,[],[f15263,f1084]) ).
thf(f30604,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_64
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f30599]) ).
thf(f30618,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_441 ),
inference(constrained_superposition,[],[f21175,f34]) ).
thf(f30623,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_441 ),
inference(constrained_superposition,[],[f21175,f77]) ).
thf(f30628,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_441 ),
inference(trivial_inequality_removal,[],[f30618]) ).
thf(f30629,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_441 ),
inference(trivial_inequality_removal,[],[f30623]) ).
thf(f30631,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_26
| ~ spl0_395
| ~ spl0_441 ),
inference(forward_subsumption_resolution,[],[f30628,f29942]) ).
thf(f30632,plain,
( ~ spl0_53
| ~ spl0_26
| ~ spl0_395
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f30631,f21174,f17676,f546,f874]) ).
thf(f30633,plain,
( ~ spl0_53
| spl0_472
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f30628,f21174,f22160,f874]) ).
thf(f30640,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_275
| ~ spl0_325 ),
inference(constrained_superposition,[],[f11994,f14644]) ).
thf(f30643,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_325
| ~ spl0_419 ),
inference(constrained_superposition,[],[f19294,f14644]) ).
thf(f30644,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_325 ),
inference(constrained_superposition,[],[f28,f14644]) ).
thf(f30646,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_275
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f30640]) ).
thf(f30647,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f30644]) ).
thf(f30648,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_325
| ~ spl0_419 ),
inference(trivial_inequality_removal,[],[f30643]) ).
thf(f30650,plain,
( $false
| ~ spl0_325
| ~ spl0_407
| ~ spl0_419 ),
inference(forward_subsumption_resolution,[],[f30648,f18245]) ).
thf(f30651,plain,
( ~ spl0_325
| ~ spl0_407
| ~ spl0_419 ),
inference(avatar_contradiction_clause,[],[f30650]) ).
thf(f30657,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_98
| ~ spl0_325 ),
inference(constrained_superposition,[],[f1984,f14644]) ).
thf(f30667,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_98
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f30657]) ).
thf(f30784,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_52 ),
inference(constrained_superposition,[],[f872,f77]) ).
thf(f30794,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_52 ),
inference(trivial_inequality_removal,[],[f30784]) ).
thf(f30796,plain,
( spl0_44
| ~ spl0_58
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f30794,f871,f951,f725]) ).
thf(f30801,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328
| ~ spl0_415 ),
inference(constrained_superposition,[],[f18978,f14655]) ).
thf(f30805,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_328
| ~ spl0_415 ),
inference(trivial_inequality_removal,[],[f30801]) ).
thf(f30812,plain,
( ~ spl0_153
| spl0_187
| ~ spl0_328
| ~ spl0_415 ),
inference(avatar_split_clause,[],[f30805,f18977,f14654,f5420,f4338]) ).
thf(f30844,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_427 ),
inference(constrained_superposition,[],[f19506,f34]) ).
thf(f30852,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_427 ),
inference(trivial_inequality_removal,[],[f30844]) ).
thf(f30909,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_265
| ~ spl0_326 ),
inference(constrained_superposition,[],[f10036,f14648]) ).
thf(f30916,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_265
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f30909]) ).
thf(f30922,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_265
| ~ spl0_326
| ~ spl0_348 ),
inference(forward_subsumption_resolution,[],[f30916,f20465]) ).
thf(f30924,plain,
( spl0_347
| ~ spl0_265
| ~ spl0_326
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f30922,f15211,f14647,f10035,f15208]) ).
thf(f30933,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_326
| ~ spl0_438 ),
inference(constrained_superposition,[],[f20663,f14648]) ).
thf(f30949,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_326
| ~ spl0_438 ),
inference(trivial_inequality_removal,[],[f30933]) ).
thf(f30954,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_434 ),
inference(avatar_component_clause,[],[f20544]) ).
thf(f30955,plain,
( ~ spl0_434
| spl0_372
| ~ spl0_326
| ~ spl0_438 ),
inference(avatar_split_clause,[],[f30949,f20662,f14647,f15784,f20544]) ).
thf(f30957,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_434 ),
inference(constrained_superposition,[],[f30954,f3214]) ).
thf(f30962,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_434 ),
inference(trivial_inequality_removal,[],[f30957]) ).
thf(f30966,plain,
( spl0_347
| spl0_434 ),
inference(avatar_split_clause,[],[f30962,f20544,f15208]) ).
thf(f30975,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_434 ),
inference(constrained_superposition,[],[f3824,f20545]) ).
thf(f30987,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f30975]) ).
thf(f31009,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_5 ),
inference(constrained_superposition,[],[f117,f34]) ).
thf(f31016,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_326 ),
inference(constrained_superposition,[],[f117,f14648]) ).
thf(f31020,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f31016]) ).
thf(f31027,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ X0 ) ) )
= $true ) )
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f31009]) ).
thf(f31032,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_5
| spl0_285
| ~ spl0_326 ),
inference(forward_subsumption_resolution,[],[f31020,f12065]) ).
thf(f31035,plain,
( ~ spl0_363
| spl0_417
| ~ spl0_5
| spl0_285
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f31032,f14647,f12064,f116,f19273,f15369]) ).
thf(f31039,plain,
( spl0_277
| ~ spl0_395
| ~ spl0_98
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f30667,f14643,f1983,f17676,f12000]) ).
thf(f31040,plain,
( spl0_342
| spl0_343
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f30647,f14643,f15140,f15137]) ).
thf(f31043,plain,
( ~ spl0_58
| spl0_418
| ~ spl0_441 ),
inference(avatar_split_clause,[],[f30629,f21174,f19283,f951]) ).
thf(f31045,plain,
( ~ spl0_30
| spl0_155
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f30283,f5097,f4346,f610]) ).
thf(f31049,plain,
( spl0_150
| ~ spl0_53
| ~ spl0_180 ),
inference(avatar_split_clause,[],[f30285,f5097,f874,f4328]) ).
thf(f31054,plain,
( ~ spl0_367
| ~ spl0_275
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f30646,f14643,f11993,f15766]) ).
thf(f31057,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_64
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f30604,f25]) ).
thf(f31061,plain,
( ~ spl0_30
| spl0_31
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f31027,f116,f613,f610]) ).
thf(f31063,plain,
( ~ spl0_39
| ~ spl0_64
| ~ spl0_356 ),
inference(avatar_split_clause,[],[f31057,f15262,f1083,f706]) ).
thf(f31064,plain,
( spl0_65
| ~ spl0_53
| spl0_481
| ~ spl0_427 ),
inference(avatar_split_clause,[],[f30852,f19505,f22594,f874,f1086]) ).
thf(f31067,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_41 ),
inference(constrained_superposition,[],[f28,f714]) ).
thf(f31068,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_41 ),
inference(trivial_inequality_removal,[],[f31067]) ).
thf(f31070,plain,
( spl0_3
| spl0_460
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f31068,f713,f21841,f99]) ).
thf(f31125,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_155 ),
inference(constrained_superposition,[],[f28,f4347]) ).
thf(f31132,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_155 ),
inference(trivial_inequality_removal,[],[f31125]) ).
thf(f31134,plain,
( spl0_27
| spl0_164
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f31132,f4346,f4398,f549]) ).
thf(f31141,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_48
| ~ spl0_356 ),
inference(constrained_superposition,[],[f15263,f772]) ).
thf(f31144,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_48
| ~ spl0_356 ),
inference(trivial_inequality_removal,[],[f31141]) ).
thf(f31147,plain,
( $false
| ~ spl0_39
| ~ spl0_48
| ~ spl0_356 ),
inference(forward_subsumption_resolution,[],[f31144,f707]) ).
thf(f31148,plain,
( ~ spl0_39
| ~ spl0_48
| ~ spl0_356 ),
inference(avatar_contradiction_clause,[],[f31147]) ).
thf(f31149,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f161,f6175]) ).
thf(f31152,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f114,f6175]) ).
thf(f31153,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_5
| ~ spl0_171 ),
inference(constrained_superposition,[],[f117,f6175]) ).
thf(f31155,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f47,f6175]) ).
thf(f31159,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_5
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f31153]) ).
thf(f31160,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f31149]) ).
thf(f31165,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f31152]) ).
thf(f31166,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f31155]) ).
thf(f31194,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_150 ),
inference(constrained_superposition,[],[f23840,f74]) ).
thf(f31195,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f31194]) ).
thf(f31199,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_349
| ~ spl0_460 ),
inference(constrained_superposition,[],[f21842,f15216]) ).
thf(f31200,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_349
| ~ spl0_460 ),
inference(trivial_inequality_removal,[],[f31199]) ).
thf(f31228,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_35
| ~ spl0_347 ),
inference(constrained_superposition,[],[f668,f15209]) ).
thf(f31229,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_98
| ~ spl0_347 ),
inference(constrained_superposition,[],[f1984,f15209]) ).
thf(f31230,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_347
| ~ spl0_514 ),
inference(constrained_superposition,[],[f30136,f15209]) ).
thf(f31236,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_347
| ~ spl0_514 ),
inference(trivial_inequality_removal,[],[f31230]) ).
thf(f31237,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_98
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f31229]) ).
thf(f31240,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_35
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f31228]) ).
thf(f31242,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_238
| ~ spl0_347
| ~ spl0_514 ),
inference(forward_subsumption_resolution,[],[f31236,f9642]) ).
thf(f31243,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_98
| ~ spl0_155
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f31237,f4347]) ).
thf(f31244,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_35
| ~ spl0_155
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f31240,f4347]) ).
thf(f31246,plain,
( $false
| ~ spl0_238
| ~ spl0_347
| ~ spl0_514 ),
inference(forward_subsumption_resolution,[],[f31242,f25]) ).
thf(f31247,plain,
( ~ spl0_238
| ~ spl0_347
| ~ spl0_514 ),
inference(avatar_contradiction_clause,[],[f31246]) ).
thf(f31248,plain,
( $false
| ~ spl0_98
| ~ spl0_155
| spl0_277
| ~ spl0_347 ),
inference(forward_subsumption_resolution,[],[f31243,f22600]) ).
thf(f31249,plain,
( ~ spl0_98
| ~ spl0_155
| spl0_277
| ~ spl0_347 ),
inference(avatar_contradiction_clause,[],[f31248]) ).
thf(f31250,plain,
( spl0_407
| ~ spl0_35
| ~ spl0_155
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f31244,f15208,f4346,f667,f18244]) ).
thf(f31251,plain,
( spl0_231
| spl0_37
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f31160,f4647,f699,f9580]) ).
thf(f31252,plain,
( $false
| ~ spl0_17
| spl0_293 ),
inference(forward_subsumption_resolution,[],[f25471,f447]) ).
thf(f31253,plain,
( ~ spl0_17
| spl0_293 ),
inference(avatar_contradiction_clause,[],[f31252]) ).
thf(f31254,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_150 ),
inference(forward_subsumption_resolution,[],[f31195,f25]) ).
thf(f31256,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_150 ),
inference(constrained_superposition,[],[f1410,f31254]) ).
thf(f31257,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| spl0_150 ),
inference(constrained_superposition,[],[f161,f31254]) ).
thf(f31259,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_150 ),
inference(constrained_superposition,[],[f114,f31254]) ).
thf(f31260,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_5
| spl0_150 ),
inference(constrained_superposition,[],[f117,f31254]) ).
thf(f31266,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f31259]) ).
thf(f31268,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_5
| spl0_150 ),
inference(trivial_inequality_removal,[],[f31260]) ).
thf(f31269,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl0_150 ),
inference(duplicate_literal_removal,[],[f31256]) ).
thf(f31270,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f31269]) ).
thf(f31275,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| spl0_150 ),
inference(trivial_inequality_removal,[],[f31257]) ).
thf(f31276,plain,
( spl0_157
| spl0_82
| spl0_150 ),
inference(avatar_split_clause,[],[f31270,f4328,f1598,f4353]) ).
thf(f31280,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_98
| ~ spl0_197 ),
inference(constrained_superposition,[],[f1984,f6088]) ).
thf(f31284,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_98
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f31280]) ).
thf(f31293,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_98
| ~ spl0_197
| spl0_277 ),
inference(forward_subsumption_resolution,[],[f31284,f22600]) ).
thf(f31294,plain,
( spl0_39
| spl0_175
| spl0_181
| spl0_150 ),
inference(avatar_split_clause,[],[f31266,f4328,f5399,f4934,f706]) ).
thf(f31295,plain,
( ~ spl0_39
| ~ spl0_98
| ~ spl0_197
| spl0_277 ),
inference(avatar_split_clause,[],[f31293,f12000,f6087,f1983,f706]) ).
thf(f31306,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84
| spl0_150 ),
inference(constrained_superposition,[],[f1630,f31254]) ).
thf(f31313,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_84
| spl0_150 ),
inference(trivial_inequality_removal,[],[f31306]) ).
thf(f31343,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_196 ),
inference(constrained_superposition,[],[f28,f6083]) ).
thf(f31344,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f31343]) ).
thf(f31349,plain,
( spl0_384
| spl0_18
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f31344,f6082,f449,f16544]) ).
thf(f31353,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_180
| ~ spl0_284 ),
inference(constrained_superposition,[],[f5098,f12035]) ).
thf(f31361,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_284 ),
inference(constrained_superposition,[],[f3824,f12035]) ).
thf(f31373,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f31361]) ).
thf(f31376,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_180
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f31353]) ).
thf(f31381,plain,
( ~ spl0_371
| ~ spl0_180
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f31376,f12034,f5097,f15781]) ).
thf(f31398,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true != $true )
| ~ spl0_206 ),
inference(constrained_superposition,[],[f6138,f77]) ).
thf(f31401,plain,
( ( $true
!= ( b @ ( s @ z ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_206 ),
inference(trivial_inequality_removal,[],[f31398]) ).
thf(f31406,plain,
( ~ spl0_12
| spl0_407
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f31401,f6137,f18244,f173]) ).
thf(f31408,plain,
( spl0_238
| ~ spl0_351
| ~ spl0_146
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f30987,f20544,f3823,f15222,f9641]) ).
thf(f31410,plain,
( ~ spl0_173
| ~ spl0_84
| spl0_150 ),
inference(avatar_split_clause,[],[f31313,f4328,f1629,f4832]) ).
thf(f31411,plain,
( spl0_238
| spl0_104
| spl0_175
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f31166,f4647,f4934,f2291,f9641]) ).
thf(f31412,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_146
| spl0_277
| ~ spl0_284 ),
inference(forward_subsumption_resolution,[],[f31373,f22600]) ).
thf(f31414,plain,
( ~ spl0_291
| ~ spl0_146
| spl0_277
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f31412,f12034,f12000,f3823,f12105]) ).
thf(f31415,plain,
( spl0_180
| ~ spl0_68
| spl0_155
| ~ spl0_5
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f31159,f4647,f116,f4346,f1152,f5097]) ).
thf(f31416,plain,
( spl0_175
| spl0_155
| spl0_69
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f31165,f4647,f1178,f4346,f4934]) ).
thf(f31418,plain,
( ~ spl0_277
| ~ spl0_349
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f31200,f21841,f15215,f12000]) ).
thf(f31419,plain,
( spl0_39
| spl0_104
| ~ spl0_153
| ~ spl0_5
| spl0_150 ),
inference(avatar_split_clause,[],[f31268,f4328,f116,f4338,f2291,f706]) ).
thf(f31420,plain,
( spl0_305
| spl0_43
| spl0_150 ),
inference(avatar_split_clause,[],[f31275,f4328,f722,f12841]) ).
thf(f31471,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_279 ),
inference(constrained_superposition,[],[f12009,f31]) ).
thf(f31472,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_279 ),
inference(trivial_inequality_removal,[],[f31471]) ).
thf(f31475,plain,
( spl0_337
| spl0_407
| spl0_279 ),
inference(avatar_split_clause,[],[f31472,f12008,f18244,f15026]) ).
thf(f31543,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_336 ),
inference(constrained_superposition,[],[f28,f15016]) ).
thf(f31547,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_336 ),
inference(trivial_inequality_removal,[],[f31543]) ).
thf(f31548,plain,
( spl0_339
| spl0_332
| ~ spl0_336 ),
inference(avatar_split_clause,[],[f31547,f15015,f14944,f15045]) ).
thf(f31550,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_347 ),
inference(constrained_superposition,[],[f28,f15209]) ).
thf(f31551,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f31550]) ).
thf(f31553,plain,
( spl0_379
| spl0_167
| ~ spl0_347 ),
inference(avatar_split_clause,[],[f31551,f15208,f4440,f16212]) ).
thf(f31562,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_395
| ~ spl0_412 ),
inference(constrained_superposition,[],[f18517,f17677]) ).
thf(f31568,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_395
| ~ spl0_412 ),
inference(trivial_inequality_removal,[],[f31562]) ).
thf(f31573,plain,
( $false
| ~ spl0_37
| ~ spl0_395
| ~ spl0_412 ),
inference(forward_subsumption_resolution,[],[f31568,f700]) ).
thf(f31574,plain,
( ~ spl0_37
| ~ spl0_395
| ~ spl0_412 ),
inference(avatar_contradiction_clause,[],[f31573]) ).
thf(f31598,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_187 ),
inference(constrained_superposition,[],[f5421,f34]) ).
thf(f31609,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_187 ),
inference(trivial_inequality_removal,[],[f31598]) ).
thf(f31613,plain,
( spl0_477
| ~ spl0_30
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f31609,f5420,f610,f22441]) ).
thf(f31627,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_470 ),
inference(constrained_superposition,[],[f28,f22129]) ).
thf(f31628,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_470 ),
inference(trivial_inequality_removal,[],[f31627]) ).
thf(f31629,plain,
( spl0_471
| spl0_357
| ~ spl0_470 ),
inference(avatar_split_clause,[],[f31628,f22128,f15265,f22139]) ).
thf(f31630,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f1410,f447]) ).
thf(f31645,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f31630]) ).
thf(f31646,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f31645]) ).
thf(f31649,plain,
( spl0_78
| spl0_82
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f31646,f446,f1598,f1428]) ).
thf(f31680,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f1410,f14655]) ).
thf(f31686,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_5
| ~ spl0_328 ),
inference(constrained_superposition,[],[f117,f14655]) ).
thf(f31694,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f31680]) ).
thf(f31696,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f31686]) ).
thf(f31705,plain,
( spl0_427
| spl0_157
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f31694,f14654,f4353,f19505]) ).
thf(f31706,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_5
| ~ spl0_328
| spl0_394 ),
inference(forward_subsumption_resolution,[],[f31696,f17681]) ).
thf(f31712,plain,
( ~ spl0_153
| spl0_513
| ~ spl0_5
| ~ spl0_328
| spl0_394 ),
inference(avatar_split_clause,[],[f31706,f17665,f14654,f116,f30001,f4338]) ).
thf(f31749,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_434 ),
inference(constrained_superposition,[],[f691,f20545]) ).
thf(f31751,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_5
| ~ spl0_434 ),
inference(constrained_superposition,[],[f117,f20545]) ).
thf(f31764,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_5
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f31751]) ).
thf(f31766,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f31749]) ).
thf(f31809,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_269
| ~ spl0_347 ),
inference(constrained_superposition,[],[f10521,f15209]) ).
thf(f31815,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_269
| ~ spl0_347 ),
inference(trivial_inequality_removal,[],[f31809]) ).
thf(f31817,plain,
( $false
| ~ spl0_269
| ~ spl0_347
| ~ spl0_407 ),
inference(forward_subsumption_resolution,[],[f31815,f18245]) ).
thf(f31818,plain,
( ~ spl0_269
| ~ spl0_347
| ~ spl0_407 ),
inference(avatar_contradiction_clause,[],[f31817]) ).
thf(f31819,plain,
( spl0_150
| spl0_437
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f31766,f20544,f20652,f4328]) ).
thf(f31825,plain,
( spl0_180
| ~ spl0_202
| spl0_155
| ~ spl0_5
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f31764,f20544,f116,f4346,f6121,f5097]) ).
thf(f31829,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_98
| ~ spl0_150 ),
inference(constrained_superposition,[],[f1984,f4329]) ).
thf(f31837,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_98
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f31829]) ).
thf(f31839,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_39
| ~ spl0_98
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f31837,f707]) ).
thf(f31841,plain,
( $false
| ~ spl0_39
| ~ spl0_98
| ~ spl0_150
| spl0_238 ),
inference(forward_subsumption_resolution,[],[f31839,f22592]) ).
thf(f31842,plain,
( ~ spl0_39
| ~ spl0_98
| ~ spl0_150
| spl0_238 ),
inference(avatar_contradiction_clause,[],[f31841]) ).
thf(f31854,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true ) )
| ~ spl0_477 ),
inference(constrained_superposition,[],[f28,f22442]) ).
thf(f31855,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_477 ),
inference(trivial_inequality_removal,[],[f31854]) ).
thf(f31864,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_6
| ~ spl0_366 ),
inference(constrained_superposition,[],[f25552,f15638]) ).
thf(f31867,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_6
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f31864]) ).
thf(f31870,plain,
( $false
| spl0_6
| ~ spl0_366 ),
inference(forward_subsumption_resolution,[],[f31867,f25]) ).
thf(f31871,plain,
( spl0_6
| ~ spl0_366 ),
inference(avatar_contradiction_clause,[],[f31870]) ).
thf(f31879,plain,
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_41
| ~ spl0_366 ),
inference(constrained_superposition,[],[f22597,f15638]) ).
thf(f31880,plain,
( ( ( s @ ( s @ z ) )
= ( s @ z ) )
| spl0_41
| ~ spl0_366 ),
inference(trivial_inequality_removal,[],[f31879]) ).
thf(f31881,plain,
( spl0_59
| spl0_41
| ~ spl0_366 ),
inference(avatar_split_clause,[],[f31880,f15637,f713,f962]) ).
thf(f31882,plain,
( spl0_478
| spl0_167
| ~ spl0_477 ),
inference(avatar_split_clause,[],[f31855,f22441,f4440,f22449]) ).
thf(f31886,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f28,f707]) ).
thf(f31890,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f31886]) ).
thf(f31891,plain,
( spl0_61
| spl0_27
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f31890,f706,f549,f992]) ).
thf(f31896,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_238 ),
inference(constrained_superposition,[],[f28,f9642]) ).
thf(f31897,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_238 ),
inference(trivial_inequality_removal,[],[f31896]) ).
thf(f31898,plain,
( spl0_3
| spl0_482
| ~ spl0_238 ),
inference(avatar_split_clause,[],[f31897,f9641,f22649,f99]) ).
thf(f31909,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_305 ),
inference(constrained_superposition,[],[f28,f12842]) ).
thf(f31910,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f31909]) ).
thf(f31911,plain,
( spl0_167
| spl0_269
| ~ spl0_305 ),
inference(avatar_split_clause,[],[f31910,f12841,f10520,f4440]) ).
thf(f31922,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_277 ),
inference(constrained_superposition,[],[f28,f12001]) ).
thf(f31923,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) ) )
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f31922]) ).
thf(f31924,plain,
( spl0_461
| spl0_3
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f31923,f12000,f99,f21848]) ).
thf(f31930,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_157 ),
inference(constrained_superposition,[],[f28,f4354]) ).
thf(f31931,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_157 ),
inference(trivial_inequality_removal,[],[f31930]) ).
thf(f31933,plain,
( spl0_166
| spl0_167
| ~ spl0_157 ),
inference(avatar_split_clause,[],[f31931,f4353,f4440,f4437]) ).
thf(f31936,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_150 ),
inference(constrained_superposition,[],[f28,f4329]) ).
thf(f31938,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f31936]) ).
thf(f31940,plain,
( spl0_168
| spl0_18
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f31938,f4328,f449,f4474]) ).
thf(f31955,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_202 ),
inference(constrained_superposition,[],[f6122,f31]) ).
thf(f31958,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_202 ),
inference(trivial_inequality_removal,[],[f31955]) ).
thf(f31960,plain,
( spl0_337
| spl0_285
| spl0_202 ),
inference(avatar_split_clause,[],[f31958,f6121,f12064,f15026]) ).
thf(f31964,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_285 ),
inference(constrained_superposition,[],[f28,f17670]) ).
thf(f31965,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f31964]) ).
thf(f31969,plain,
( spl0_410
| spl0_27
| ~ spl0_285 ),
inference(avatar_split_clause,[],[f31965,f12064,f549,f18423]) ).
thf(f31970,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_481 ),
inference(constrained_superposition,[],[f28,f22595]) ).
thf(f31971,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_481 ),
inference(trivial_inequality_removal,[],[f31970]) ).
thf(f31972,plain,
( spl0_332
| spl0_483
| ~ spl0_481 ),
inference(avatar_split_clause,[],[f31971,f22594,f22655,f14944]) ).
thf(f31974,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) )
| ~ spl0_407 ),
inference(constrained_superposition,[],[f28,f18245]) ).
thf(f31975,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f31974]) ).
thf(f31977,plain,
( spl0_357
| spl0_413
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f31975,f18244,f18593,f15265]) ).
thf(f31980,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_197 ),
inference(constrained_superposition,[],[f28,f6088]) ).
thf(f31983,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) ) )
| ~ spl0_197 ),
inference(trivial_inequality_removal,[],[f31980]) ).
thf(f31984,plain,
( spl0_18
| spl0_275
| ~ spl0_197 ),
inference(avatar_split_clause,[],[f31983,f6087,f11993,f449]) ).
thf(f31994,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_98
| ~ spl0_349 ),
inference(constrained_superposition,[],[f1984,f15216]) ).
thf(f31996,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_349 ),
inference(constrained_superposition,[],[f28,f15216]) ).
thf(f31997,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_349 ),
inference(trivial_inequality_removal,[],[f31996]) ).
thf(f31998,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_98
| ~ spl0_349 ),
inference(trivial_inequality_removal,[],[f31994]) ).
thf(f32000,plain,
( spl0_357
| spl0_356
| ~ spl0_349 ),
inference(avatar_split_clause,[],[f31997,f15215,f15262,f15265]) ).
thf(f32001,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_98
| ~ spl0_285
| ~ spl0_349 ),
inference(forward_subsumption_resolution,[],[f31998,f17670]) ).
thf(f32002,plain,
( $false
| spl0_41
| ~ spl0_98
| ~ spl0_285
| ~ spl0_349 ),
inference(forward_subsumption_resolution,[],[f32001,f22597]) ).
thf(f32003,plain,
( spl0_41
| ~ spl0_98
| ~ spl0_285
| ~ spl0_349 ),
inference(avatar_contradiction_clause,[],[f32002]) ).
thf(f32004,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_429 ),
inference(constrained_superposition,[],[f28,f19667]) ).
thf(f32005,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_429 ),
inference(trivial_inequality_removal,[],[f32004]) ).
thf(f32006,plain,
( spl0_332
| spl0_430
| ~ spl0_429 ),
inference(avatar_split_clause,[],[f32005,f19666,f19674,f14944]) ).
thf(f32013,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_472 ),
inference(constrained_superposition,[],[f28,f22161]) ).
thf(f32014,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) ) )
| ~ spl0_472 ),
inference(trivial_inequality_removal,[],[f32013]) ).
thf(f32015,plain,
( spl0_342
| spl0_474
| ~ spl0_472 ),
inference(avatar_split_clause,[],[f32014,f22160,f22178,f15137]) ).
thf(f32016,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f161,f12123]) ).
thf(f32018,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f4306,f12123]) ).
thf(f32019,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f691,f12123]) ).
thf(f32020,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f114,f12123]) ).
thf(f32026,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f32019]) ).
thf(f32029,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f32016]) ).
thf(f32030,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f32020]) ).
thf(f32031,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f32018]) ).
thf(f32035,plain,
( spl0_178
| spl0_208
| spl0_347
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f32031,f12122,f15208,f6148,f5089]) ).
thf(f32097,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_395 ),
inference(constrained_superposition,[],[f28,f17677]) ).
thf(f32099,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) ) )
| ~ spl0_395 ),
inference(trivial_inequality_removal,[],[f32097]) ).
thf(f32102,plain,
( spl0_27
| spl0_408
| ~ spl0_395 ),
inference(avatar_split_clause,[],[f32099,f17676,f18327,f549]) ).
thf(f32103,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_418 ),
inference(constrained_superposition,[],[f28,f19284]) ).
thf(f32104,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_418 ),
inference(trivial_inequality_removal,[],[f32103]) ).
thf(f32105,plain,
( spl0_342
| spl0_419
| ~ spl0_418 ),
inference(avatar_split_clause,[],[f32104,f19283,f19293,f15137]) ).
thf(f32107,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_434 ),
inference(constrained_superposition,[],[f161,f20545]) ).
thf(f32110,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_434 ),
inference(constrained_superposition,[],[f114,f20545]) ).
thf(f32112,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_434 ),
inference(constrained_superposition,[],[f47,f20545]) ).
thf(f32115,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) ) )
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f32107]) ).
thf(f32116,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f32112]) ).
thf(f32118,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f32110]) ).
thf(f32124,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_155
| ~ spl0_434 ),
inference(forward_subsumption_resolution,[],[f32118,f6174]) ).
thf(f32127,plain,
( spl0_207
| spl0_436
| spl0_155
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f32124,f20544,f4346,f20593,f6145]) ).
thf(f32163,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f4306,f14655]) ).
thf(f32164,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f691,f14655]) ).
thf(f32167,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f47,f14655]) ).
thf(f32174,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_328 ),
inference(duplicate_literal_removal,[],[f32163]) ).
thf(f32175,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f32174]) ).
thf(f32179,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f32167]) ).
thf(f32180,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f32164]) ).
thf(f32182,plain,
( spl0_334
| spl0_185
| spl0_333
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f32175,f14654,f15003,f5413,f15006]) ).
thf(f32183,plain,
( spl0_333
| spl0_400
| spl0_180
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f32179,f14654,f5097,f17722,f15003]) ).
thf(f32184,plain,
( spl0_196
| spl0_380
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f32180,f14654,f16317,f6082]) ).
thf(f32185,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_61
| ~ spl0_354 ),
inference(constrained_superposition,[],[f993,f15235]) ).
thf(f32186,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_98
| ~ spl0_354 ),
inference(constrained_superposition,[],[f1984,f15235]) ).
thf(f32188,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_98
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f32186]) ).
thf(f32190,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_61
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f32185]) ).
thf(f32191,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_98
| ~ spl0_354
| ~ spl0_395 ),
inference(forward_subsumption_resolution,[],[f32188,f17677]) ).
thf(f32193,plain,
( $false
| ~ spl0_61
| ~ spl0_354
| ~ spl0_395 ),
inference(forward_subsumption_resolution,[],[f32190,f17677]) ).
thf(f32194,plain,
( ~ spl0_61
| ~ spl0_354
| ~ spl0_395 ),
inference(avatar_contradiction_clause,[],[f32193]) ).
thf(f32195,plain,
( $false
| spl0_41
| ~ spl0_98
| ~ spl0_354
| ~ spl0_395 ),
inference(forward_subsumption_resolution,[],[f32191,f22597]) ).
thf(f32196,plain,
( spl0_41
| ~ spl0_98
| ~ spl0_354
| ~ spl0_395 ),
inference(avatar_contradiction_clause,[],[f32195]) ).
thf(f32202,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X1 ) ) )
| ~ spl0_397 ),
inference(constrained_superposition,[],[f28,f17689]) ).
thf(f32203,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f32202]) ).
thf(f32204,plain,
( spl0_453
| spl0_3
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f32203,f17688,f99,f21806]) ).
thf(f32207,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_367 ),
inference(constrained_superposition,[],[f28,f15767]) ).
thf(f32208,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_367 ),
inference(trivial_inequality_removal,[],[f32207]) ).
thf(f32211,plain,
( spl0_412
| spl0_18
| ~ spl0_367 ),
inference(avatar_split_clause,[],[f32208,f15766,f449,f18516]) ).
thf(f32218,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_511 ),
inference(constrained_superposition,[],[f29465,f379]) ).
thf(f32223,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_511 ),
inference(trivial_inequality_removal,[],[f32218]) ).
thf(f32226,plain,
( spl0_354
| spl0_511 ),
inference(avatar_split_clause,[],[f32223,f29464,f15234]) ).
thf(f32229,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_166
| ~ spl0_305 ),
inference(constrained_superposition,[],[f4438,f12842]) ).
thf(f32232,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_166
| ~ spl0_305 ),
inference(trivial_inequality_removal,[],[f32229]) ).
thf(f32235,plain,
( $false
| ~ spl0_39
| ~ spl0_166
| ~ spl0_305 ),
inference(forward_subsumption_resolution,[],[f32232,f707]) ).
thf(f32236,plain,
( ~ spl0_39
| ~ spl0_166
| ~ spl0_305 ),
inference(avatar_contradiction_clause,[],[f32235]) ).
thf(f32237,plain,
( spl0_285
| spl0_208
| spl0_69
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f32030,f12122,f1178,f6148,f12064]) ).
thf(f32239,plain,
( spl0_431
| spl0_37
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f32029,f12122,f699,f20132]) ).
thf(f32240,plain,
( spl0_231
| spl0_407
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f32115,f20544,f18244,f9580]) ).
thf(f32241,plain,
( spl0_502
| spl0_197
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f32026,f12122,f6087,f26258]) ).
thf(f32242,plain,
( spl0_417
| spl0_436
| spl0_238
| ~ spl0_434 ),
inference(avatar_split_clause,[],[f32116,f20544,f9641,f20593,f19273]) ).
thf(f32243,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_6 ),
inference(constrained_superposition,[],[f28,f120]) ).
thf(f32244,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ ( s @ z ) @ X0 )
!= $true ) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f32243]) ).
thf(f32245,plain,
( spl0_3
| spl0_23
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f32244,f119,f468,f99]) ).
thf(f32248,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f28,f462]) ).
thf(f32249,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ z ) @ X1 ) )
| ( $true
!= ( r @ z @ X0 ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f32248]) ).
thf(f32250,plain,
( spl0_26
| spl0_27
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f32249,f461,f549,f546]) ).
thf(f32260,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_37 ),
inference(constrained_superposition,[],[f28,f700]) ).
thf(f32261,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_37 ),
inference(trivial_inequality_removal,[],[f32260]) ).
thf(f32262,plain,
( spl0_60
| spl0_18
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f32261,f699,f449,f970]) ).
thf(f32277,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ z @ X1 ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_400 ),
inference(constrained_superposition,[],[f28,f17723]) ).
thf(f32278,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ z @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f32277]) ).
thf(f32279,plain,
( spl0_452
| spl0_3
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f32278,f17722,f99,f21802]) ).
thf(f32327,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f1410,f12115]) ).
thf(f32328,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ z ) )
!= $true ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f161,f12115]) ).
thf(f32334,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_293 ),
inference(constrained_superposition,[],[f47,f12115]) ).
thf(f32337,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f32328]) ).
thf(f32339,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_293 ),
inference(duplicate_literal_removal,[],[f32327]) ).
thf(f32340,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f32339]) ).
thf(f32343,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_293 ),
inference(trivial_inequality_removal,[],[f32334]) ).
thf(f32348,plain,
( spl0_43
| spl0_407
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f32337,f12114,f18244,f722]) ).
thf(f32349,plain,
( spl0_82
| spl0_349
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f32340,f12114,f15215,f1598]) ).
thf(f32350,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ X0 ) ) )
| spl0_41
| ~ spl0_293 ),
inference(forward_subsumption_resolution,[],[f32343,f22597]) ).
thf(f32352,plain,
( spl0_208
| spl0_417
| spl0_41
| ~ spl0_293 ),
inference(avatar_split_clause,[],[f32350,f12114,f713,f19273,f6148]) ).
thf(f32361,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f28,f14658]) ).
thf(f32362,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f32361]) ).
thf(f32363,plain,
( spl0_332
| spl0_331
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f32362,f14657,f14941,f14944]) ).
thf(f32365,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_354 ),
inference(constrained_superposition,[],[f28,f15235]) ).
thf(f32366,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
!= $true ) )
| ~ spl0_354 ),
inference(trivial_inequality_removal,[],[f32365]) ).
thf(f32368,plain,
( spl0_342
| spl0_376
| ~ spl0_354 ),
inference(avatar_split_clause,[],[f32366,f15234,f15968,f15137]) ).
thf(f32370,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_168
| ~ spl0_329 ),
inference(constrained_superposition,[],[f4475,f14658]) ).
thf(f32373,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_168
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f32370]) ).
thf(f32375,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_168
| ~ spl0_329 ),
inference(constrained_superposition,[],[f32373,f74]) ).
thf(f32376,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_168
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f32375]) ).
thf(f32377,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_168
| ~ spl0_329 ),
inference(forward_subsumption_resolution,[],[f32376,f25]) ).
thf(f32378,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_168
| ~ spl0_329 ),
inference(constrained_superposition,[],[f1410,f32377]) ).
thf(f32390,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_168
| ~ spl0_329 ),
inference(duplicate_literal_removal,[],[f32378]) ).
thf(f32391,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X0 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_168
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f32390]) ).
thf(f32400,plain,
( spl0_336
| spl0_82
| ~ spl0_168
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f32391,f14657,f4474,f1598,f15015]) ).
thf(f32428,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_513 ),
inference(constrained_superposition,[],[f30002,f3214]) ).
thf(f32436,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_513 ),
inference(trivial_inequality_removal,[],[f32428]) ).
thf(f32444,plain,
( ~ spl0_241
| spl0_334
| ~ spl0_513 ),
inference(avatar_split_clause,[],[f32436,f30001,f15006,f9655]) ).
thf(f32451,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_348 ),
inference(constrained_superposition,[],[f114,f20465]) ).
thf(f32452,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_348 ),
inference(constrained_superposition,[],[f3824,f20465]) ).
thf(f32460,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_146
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f32452]) ).
thf(f32461,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_348 ),
inference(trivial_inequality_removal,[],[f32451]) ).
thf(f32468,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_146
| spl0_238
| ~ spl0_348 ),
inference(forward_subsumption_resolution,[],[f32460,f22592]) ).
thf(f32469,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 ) ) )
| spl0_155
| ~ spl0_348 ),
inference(forward_subsumption_resolution,[],[f32461,f6174]) ).
thf(f32472,plain,
( ~ spl0_359
| ~ spl0_146
| spl0_238
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f32468,f15211,f9641,f3823,f15354]) ).
thf(f32473,plain,
( spl0_432
| spl0_426
| spl0_155
| ~ spl0_348 ),
inference(avatar_split_clause,[],[f32469,f15211,f4346,f19465,f20510]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f56]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f121]) ).
cnf(s13,plain,
( spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f466]) ).
cnf(s22,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f542]) ).
cnf(s29,plain,
( spl0_21
| spl0_30 ),
inference(sat_conversion,[],[f621]) ).
cnf(s32,plain,
( spl0_16
| spl0_32 ),
inference(sat_conversion,[],[f639]) ).
cnf(s34,plain,
( ~ spl0_1
| spl0_3
| spl0_34 ),
inference(sat_conversion,[],[f651]) ).
cnf(s35,plain,
( ~ spl0_3
| ~ spl0_21 ),
inference(sat_conversion,[],[f654]) ).
cnf(s36,plain,
( ~ spl0_16
| spl0_27
| spl0_35 ),
inference(sat_conversion,[],[f669]) ).
cnf(s38,plain,
( spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f708]) ).
cnf(s39,plain,
( spl0_40
| spl0_41 ),
inference(sat_conversion,[],[f715]) ).
cnf(s41,plain,
( spl0_43
| spl0_44 ),
inference(sat_conversion,[],[f727]) ).
cnf(s43,plain,
( ~ spl0_3
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f736]) ).
cnf(s44,plain,
( ~ spl0_16
| ~ spl0_18
| spl0_37 ),
inference(sat_conversion,[],[f743]) ).
cnf(s45,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_18 ),
inference(sat_conversion,[],[f745]) ).
cnf(s52,plain,
( ~ spl0_3
| ~ spl0_10
| spl0_28 ),
inference(sat_conversion,[],[f798]) ).
cnf(s59,plain,
( ~ spl0_3
| spl0_53 ),
inference(sat_conversion,[],[f893]) ).
cnf(s63,plain,
( ~ spl0_6
| ~ spl0_27 ),
inference(sat_conversion,[],[f935]) ).
cnf(s64,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_27 ),
inference(sat_conversion,[],[f937]) ).
cnf(s68,plain,
( spl0_37
| spl0_58 ),
inference(sat_conversion,[],[f965]) ).
cnf(s73,plain,
( ~ spl0_3
| spl0_46
| ~ spl0_52
| ~ spl0_53 ),
inference(sat_conversion,[],[f1014]) ).
cnf(s74,plain,
( spl0_18
| ~ spl0_46
| spl0_62 ),
inference(sat_conversion,[],[f1026]) ).
cnf(s76,plain,
( ~ spl0_16
| ~ spl0_22
| ~ spl0_61
| spl0_64
| spl0_65
| ~ spl0_66 ),
inference(sat_conversion,[],[f1091]) ).
cnf(s80,plain,
( ~ spl0_16
| ~ spl0_61
| spl0_64
| ~ spl0_69 ),
inference(sat_conversion,[],[f1202]) ).
cnf(s89,plain,
( ~ spl0_16
| spl0_48
| ~ spl0_61
| ~ spl0_78 ),
inference(sat_conversion,[],[f1488]) ).
cnf(s92,plain,
( ~ spl0_3
| spl0_29
| ~ spl0_30
| ~ spl0_43 ),
inference(sat_conversion,[],[f1505]) ).
cnf(s93,plain,
( ~ spl0_3
| spl0_29
| ~ spl0_30
| spl0_37
| spl0_78 ),
inference(sat_conversion,[],[f1535]) ).
cnf(s94,plain,
( spl0_7
| ~ spl0_29 ),
inference(sat_conversion,[],[f1544]) ).
cnf(s95,plain,
( ~ spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f1549]) ).
cnf(s97,plain,
( ~ spl0_40
| spl0_52
| ~ spl0_53 ),
inference(sat_conversion,[],[f1562]) ).
cnf(s99,plain,
( ~ spl0_38
| spl0_52
| ~ spl0_58 ),
inference(sat_conversion,[],[f1578]) ).
cnf(s101,plain,
( spl0_82
| spl0_83 ),
inference(sat_conversion,[],[f1603]) ).
cnf(s104,plain,
( spl0_37
| spl0_85 ),
inference(sat_conversion,[],[f1635]) ).
cnf(s105,plain,
( ~ spl0_16
| ~ spl0_37
| spl0_48
| ~ spl0_62 ),
inference(sat_conversion,[],[f1636]) ).
cnf(s106,plain,
( ~ spl0_3
| ~ spl0_30
| spl0_37
| ~ spl0_82 ),
inference(sat_conversion,[],[f1637]) ).
cnf(s108,plain,
( ~ spl0_3
| spl0_46
| ~ spl0_82 ),
inference(sat_conversion,[],[f1653]) ).
cnf(s110,plain,
( ~ spl0_3
| ~ spl0_30
| spl0_44
| spl0_69 ),
inference(sat_conversion,[],[f1722]) ).
cnf(s147,plain,
( ~ spl0_8
| spl0_27
| spl0_98 ),
inference(sat_conversion,[],[f1985]) ).
cnf(s148,plain,
( spl0_18
| ~ spl0_44
| spl0_99 ),
inference(sat_conversion,[],[f2039]) ).
cnf(s149,plain,
( ~ spl0_35
| ~ spl0_39
| ~ spl0_44
| spl0_48 ),
inference(sat_conversion,[],[f2040]) ).
cnf(s150,plain,
( spl0_17
| ~ spl0_48
| ~ spl0_60 ),
inference(sat_conversion,[],[f2046]) ).
cnf(s158,plain,
( ~ spl0_29
| ~ spl0_61
| spl0_103
| spl0_104 ),
inference(sat_conversion,[],[f2293]) ).
cnf(s161,plain,
( spl0_18
| ~ spl0_83
| spl0_105 ),
inference(sat_conversion,[],[f2399]) ).
cnf(s208,plain,
( spl0_155
| spl0_156 ),
inference(sat_conversion,[],[f4351]) ).
cnf(s214,plain,
( spl0_153
| spl0_155 ),
inference(sat_conversion,[],[f4409]) ).
cnf(s215,plain,
( spl0_153
| spl0_155
| spl0_165 ),
inference(sat_conversion,[],[f4413]) ).
cnf(s221,plain,
( spl0_150
| spl0_152
| spl0_169 ),
inference(sat_conversion,[],[f4494]) ).
cnf(s224,plain,
( spl0_157
| spl0_171 ),
inference(sat_conversion,[],[f4666]) ).
cnf(s226,plain,
( spl0_157
| spl0_169
| spl0_171 ),
inference(sat_conversion,[],[f4668]) ).
cnf(s228,plain,
( ~ spl0_150
| ~ spl0_167 ),
inference(sat_conversion,[],[f4724]) ).
cnf(s233,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_167 ),
inference(sat_conversion,[],[f4741]) ).
cnf(s242,plain,
( ~ spl0_39
| ~ spl0_48
| ~ spl0_166 ),
inference(sat_conversion,[],[f4801]) ).
cnf(s249,plain,
( ~ spl0_39
| ~ spl0_83
| spl0_157
| ~ spl0_164 ),
inference(sat_conversion,[],[f5007]) ).
cnf(s250,plain,
( ~ spl0_3
| ~ spl0_53
| ~ spl0_175 ),
inference(sat_conversion,[],[f5035]) ).
cnf(s261,plain,
( spl0_155
| ~ spl0_185 ),
inference(sat_conversion,[],[f5446]) ).
cnf(s292,plain,
~ spl0_169,
inference(sat_conversion,[],[f6173]) ).
cnf(s301,plain,
( ~ spl0_58
| spl0_150
| ~ spl0_181 ),
inference(sat_conversion,[],[f6194]) ).
cnf(s311,plain,
( ~ spl0_3
| ~ spl0_53
| spl0_71
| spl0_150
| ~ spl0_171 ),
inference(sat_conversion,[],[f6313]) ).
cnf(s364,plain,
~ spl0_87,
inference(sat_conversion,[],[f7120]) ).
cnf(s397,plain,
~ spl0_59,
inference(sat_conversion,[],[f8742]) ).
cnf(s411,plain,
( ~ spl0_3
| ~ spl0_30
| ~ spl0_219
| spl0_226 ),
inference(sat_conversion,[],[f9272]) ).
cnf(s412,plain,
( spl0_27
| ~ spl0_226
| spl0_227 ),
inference(sat_conversion,[],[f9312]) ).
cnf(s414,plain,
( ~ spl0_3
| ~ spl0_53
| ~ spl0_61
| spl0_71
| ~ spl0_226
| spl0_229 ),
inference(sat_conversion,[],[f9383]) ).
cnf(s416,plain,
( ~ spl0_39
| spl0_87
| ~ spl0_227
| ~ spl0_229 ),
inference(sat_conversion,[],[f9574]) ).
cnf(s434,plain,
( spl0_238
| spl0_249 ),
inference(sat_conversion,[],[f9699]) ).
cnf(s445,plain,
( ~ spl0_39
| ~ spl0_65
| ~ spl0_98
| spl0_123 ),
inference(sat_conversion,[],[f9754]) ).
cnf(s451,plain,
( ~ spl0_3
| ~ spl0_103
| spl0_123 ),
inference(sat_conversion,[],[f9770]) ).
cnf(s464,plain,
( ~ spl0_18
| ~ spl0_41 ),
inference(sat_conversion,[],[f9823]) ).
cnf(s465,plain,
( ~ spl0_18
| ~ spl0_39 ),
inference(sat_conversion,[],[f9831]) ).
cnf(s471,plain,
( ~ spl0_3
| spl0_241 ),
inference(sat_conversion,[],[f9870]) ).
cnf(s472,plain,
( ~ spl0_167
| ~ spl0_238 ),
inference(sat_conversion,[],[f9872]) ).
cnf(s474,plain,
( ~ spl0_2
| spl0_146 ),
inference(sat_conversion,[],[f9916]) ).
cnf(s480,plain,
( ~ spl0_241
| ~ spl0_249
| spl0_265 ),
inference(sat_conversion,[],[f10037]) ).
cnf(s483,plain,
( ~ spl0_3
| spl0_162
| ~ spl0_241
| ~ spl0_265 ),
inference(sat_conversion,[],[f10057]) ).
cnf(s537,plain,
( ~ spl0_39
| ~ spl0_48
| ~ spl0_78
| ~ spl0_162 ),
inference(sat_conversion,[],[f10491]) ).
cnf(s540,plain,
( ~ spl0_78
| spl0_166
| ~ spl0_238 ),
inference(sat_conversion,[],[f10518]) ).
cnf(s625,plain,
( spl0_18
| ~ spl0_270
| spl0_298 ),
inference(sat_conversion,[],[f12371]) ).
cnf(s627,plain,
( ~ spl0_64
| ~ spl0_123
| spl0_219
| ~ spl0_231 ),
inference(sat_conversion,[],[f12671]) ).
cnf(s628,plain,
( ~ spl0_3
| ~ spl0_30
| ~ spl0_32
| spl0_299 ),
inference(sat_conversion,[],[f12714]) ).
cnf(s629,plain,
( spl0_155
| ~ spl0_299 ),
inference(sat_conversion,[],[f12745]) ).
cnf(s634,plain,
( ~ spl0_123
| ~ spl0_167 ),
inference(sat_conversion,[],[f12811]) ).
cnf(s640,plain,
( ~ spl0_71
| spl0_78 ),
inference(sat_conversion,[],[f12829]) ).
cnf(s648,plain,
( ~ spl0_61
| ~ spl0_157
| ~ spl0_299 ),
inference(sat_conversion,[],[f12891]) ).
cnf(s665,plain,
( ~ spl0_2
| spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f12974]) ).
cnf(s667,plain,
( ~ spl0_27
| ~ spl0_305 ),
inference(sat_conversion,[],[f12989]) ).
cnf(s668,plain,
( ~ spl0_27
| ~ spl0_37 ),
inference(sat_conversion,[],[f12997]) ).
cnf(s669,plain,
( ~ spl0_156
| ~ spl0_173
| spl0_265 ),
inference(sat_conversion,[],[f13001]) ).
cnf(s670,plain,
( ~ spl0_61
| ~ spl0_155
| spl0_171 ),
inference(sat_conversion,[],[f13017]) ).
cnf(s705,plain,
( ~ spl0_61
| ~ spl0_155
| ~ spl0_157 ),
inference(sat_conversion,[],[f13547]) ).
cnf(s714,plain,
( ~ spl0_3
| ~ spl0_30
| ~ spl0_31
| spl0_299 ),
inference(sat_conversion,[],[f13746]) ).
cnf(s724,plain,
( ~ spl0_12
| ~ spl0_27
| ~ spl0_65 ),
inference(sat_conversion,[],[f14123]) ).
cnf(s725,plain,
( ~ spl0_3
| ~ spl0_30
| ~ spl0_319 ),
inference(sat_conversion,[],[f14137]) ).
cnf(s728,plain,
( ~ spl0_69
| ~ spl0_171
| ~ spl0_173 ),
inference(sat_conversion,[],[f14172]) ).
cnf(s730,plain,
( ~ spl0_27
| ~ spl0_44
| spl0_46 ),
inference(sat_conversion,[],[f14175]) ).
cnf(s731,plain,
( spl0_18
| ~ spl0_46
| spl0_62 ),
inference(sat_conversion,[],[f14202]) ).
cnf(s732,plain,
( ~ spl0_11
| ~ spl0_27
| spl0_113 ),
inference(sat_conversion,[],[f14272]) ).
cnf(s785,plain,
( ~ spl0_46
| ~ spl0_62
| ~ spl0_329 ),
inference(sat_conversion,[],[f14937]) ).
cnf(s793,plain,
( ~ spl0_178
| ~ spl0_328
| spl0_336 ),
inference(sat_conversion,[],[f15033]) ).
cnf(s798,plain,
( ~ spl0_46
| ~ spl0_332 ),
inference(sat_conversion,[],[f15090]) ).
cnf(s811,plain,
( ~ spl0_85
| ~ spl0_202
| spl0_203
| ~ spl0_324
| spl0_354 ),
inference(sat_conversion,[],[f15236]) ).
cnf(s825,plain,
( ~ spl0_27
| ~ spl0_173
| ~ spl0_333 ),
inference(sat_conversion,[],[f15408]) ).
cnf(s826,plain,
( ~ spl0_171
| ~ spl0_333
| spl0_336 ),
inference(sat_conversion,[],[f15409]) ).
cnf(s827,plain,
( ~ spl0_3
| ~ spl0_241
| ~ spl0_333 ),
inference(sat_conversion,[],[f15410]) ).
cnf(s858,plain,
~ spl0_165,
inference(sat_conversion,[],[f15644]) ).
cnf(s865,plain,
( spl0_165
| spl0_328
| spl0_329 ),
inference(sat_conversion,[],[f15670]) ).
cnf(s868,plain,
( ~ spl0_46
| ~ spl0_62
| ~ spl0_334 ),
inference(sat_conversion,[],[f15747]) ).
cnf(s869,plain,
( ~ spl0_185
| ~ spl0_328 ),
inference(sat_conversion,[],[f15762]) ).
cnf(s873,plain,
( ~ spl0_3
| ~ spl0_324
| spl0_367
| ~ spl0_371
| spl0_372 ),
inference(sat_conversion,[],[f15786]) ).
cnf(s874,plain,
( spl0_165
| spl0_326
| spl0_327 ),
inference(sat_conversion,[],[f15787]) ).
cnf(s876,plain,
( ~ spl0_3
| spl0_371 ),
inference(sat_conversion,[],[f15796]) ).
cnf(s886,plain,
( ~ spl0_324
| spl0_340
| spl0_354
| ~ spl0_372 ),
inference(sat_conversion,[],[f15956]) ).
cnf(s890,plain,
( spl0_197
| spl0_293 ),
inference(sat_conversion,[],[f15999]) ).
cnf(s900,plain,
( ~ spl0_157
| ~ spl0_329
| ~ spl0_339 ),
inference(sat_conversion,[],[f16189]) ).
cnf(s915,plain,
( ~ spl0_27
| ~ spl0_69
| ~ spl0_166
| ~ spl0_334
| spl0_340 ),
inference(sat_conversion,[],[f16487]) ).
cnf(s917,plain,
( ~ spl0_167
| ~ spl0_299 ),
inference(sat_conversion,[],[f16512]) ).
cnf(s918,plain,
( ~ spl0_155
| ~ spl0_167 ),
inference(sat_conversion,[],[f16514]) ).
cnf(s931,plain,
( ~ spl0_299
| ~ spl0_357 ),
inference(sat_conversion,[],[f16587]) ).
cnf(s946,plain,
( ~ spl0_27
| ~ spl0_69
| spl0_78 ),
inference(sat_conversion,[],[f16850]) ).
cnf(s949,plain,
( ~ spl0_27
| ~ spl0_279
| ~ spl0_344 ),
inference(sat_conversion,[],[f16928]) ).
cnf(s951,plain,
( spl0_165
| spl0_324
| spl0_325 ),
inference(sat_conversion,[],[f16930]) ).
cnf(s960,plain,
( ~ spl0_324
| ~ spl0_355
| spl0_386 ),
inference(sat_conversion,[],[f17045]) ).
cnf(s964,plain,
( ~ spl0_78
| ~ spl0_166
| ~ spl0_353 ),
inference(sat_conversion,[],[f17085]) ).
cnf(s975,plain,
( ~ spl0_326
| ~ spl0_365
| spl0_391 ),
inference(sat_conversion,[],[f17213]) ).
cnf(s978,plain,
( ~ spl0_78
| ~ spl0_327
| ~ spl0_356 ),
inference(sat_conversion,[],[f17249]) ).
cnf(s989,plain,
( ~ spl0_78
| ~ spl0_299
| ~ spl0_329 ),
inference(sat_conversion,[],[f17555]) ).
cnf(s993,plain,
( spl0_27
| ~ spl0_299
| spl0_300 ),
inference(sat_conversion,[],[f17563]) ).
cnf(s999,plain,
( ~ spl0_78
| ~ spl0_299
| ~ spl0_300 ),
inference(sat_conversion,[],[f17653]) ).
cnf(s1000,plain,
( ~ spl0_197
| ~ spl0_299
| ~ spl0_300 ),
inference(sat_conversion,[],[f17656]) ).
cnf(s1001,plain,
( ~ spl0_157
| ~ spl0_299
| ~ spl0_300 ),
inference(sat_conversion,[],[f17658]) ).
cnf(s1007,plain,
( ~ spl0_78
| ~ spl0_197
| spl0_356 ),
inference(sat_conversion,[],[f17672]) ).
cnf(s1008,plain,
( spl0_39
| spl0_68 ),
inference(sat_conversion,[],[f17673]) ).
cnf(s1011,plain,
( spl0_363
| spl0_395 ),
inference(sat_conversion,[],[f17679]) ).
cnf(s1017,plain,
( spl0_277
| spl0_351 ),
inference(sat_conversion,[],[f17691]) ).
cnf(s1018,plain,
( ~ spl0_68
| ~ spl0_346
| spl0_395 ),
inference(sat_conversion,[],[f17692]) ).
cnf(s1021,plain,
( spl0_238
| spl0_291 ),
inference(sat_conversion,[],[f17706]) ).
cnf(s1024,plain,
( spl0_359
| spl0_397 ),
inference(sat_conversion,[],[f17716]) ).
cnf(s1031,plain,
( spl0_373
| spl0_400 ),
inference(sat_conversion,[],[f17735]) ).
cnf(s1048,plain,
~ spl0_402,
inference(sat_conversion,[],[f17912]) ).
cnf(s1071,plain,
~ spl0_337,
inference(sat_conversion,[],[f18086]) ).
cnf(s1082,plain,
( ~ spl0_8
| ~ spl0_357 ),
inference(sat_conversion,[],[f18130]) ).
cnf(s1085,plain,
( ~ spl0_29
| ~ spl0_357 ),
inference(sat_conversion,[],[f18135]) ).
cnf(s1088,plain,
( ~ spl0_3
| spl0_29
| ~ spl0_30
| ~ spl0_231 ),
inference(sat_conversion,[],[f18137]) ).
cnf(s1093,plain,
( spl0_202
| ~ spl0_357 ),
inference(sat_conversion,[],[f18175]) ).
cnf(s1094,plain,
( ~ spl0_285
| ~ spl0_357 ),
inference(sat_conversion,[],[f18177]) ).
cnf(s1105,plain,
( ~ spl0_277
| ~ spl0_357 ),
inference(sat_conversion,[],[f18253]) ).
cnf(s1120,plain,
( ~ spl0_146
| ~ spl0_167
| spl0_366 ),
inference(sat_conversion,[],[f18386]) ).
cnf(s1121,plain,
( ~ spl0_162
| ~ spl0_357 ),
inference(sat_conversion,[],[f18396]) ).
cnf(s1125,plain,
( ~ spl0_78
| ~ spl0_285
| spl0_356 ),
inference(sat_conversion,[],[f18421]) ).
cnf(s1134,plain,
( ~ spl0_78
| ~ spl0_367
| spl0_376 ),
inference(sat_conversion,[],[f18519]) ).
cnf(s1140,plain,
( ~ spl0_167
| ~ spl0_329 ),
inference(sat_conversion,[],[f18561]) ).
cnf(s1165,plain,
~ spl0_338,
inference(sat_conversion,[],[f18767]) ).
cnf(s1179,plain,
~ spl0_340,
inference(sat_conversion,[],[f18915]) ).
cnf(s1198,plain,
( ~ spl0_60
| ~ spl0_181
| ~ spl0_196
| ~ spl0_328
| spl0_340 ),
inference(sat_conversion,[],[f19036]) ).
cnf(s1206,plain,
( ~ spl0_3
| ~ spl0_53
| ~ spl0_208 ),
inference(sat_conversion,[],[f19091]) ).
cnf(s1208,plain,
( ~ spl0_68
| spl0_285
| ~ spl0_372 ),
inference(sat_conversion,[],[f19154]) ).
cnf(s1210,plain,
( ~ spl0_37
| ~ spl0_275
| ~ spl0_285 ),
inference(sat_conversion,[],[f19217]) ).
cnf(s1216,plain,
( ~ spl0_207
| ~ spl0_324
| spl0_418 ),
inference(sat_conversion,[],[f19287]) ).
cnf(s1220,plain,
( ~ spl0_53
| ~ spl0_293
| ~ spl0_417 ),
inference(sat_conversion,[],[f19316]) ).
cnf(s1221,plain,
( ~ spl0_53
| spl0_197
| ~ spl0_417 ),
inference(sat_conversion,[],[f19317]) ).
cnf(s1227,plain,
( spl0_41
| ~ spl0_98
| spl0_420 ),
inference(sat_conversion,[],[f19405]) ).
cnf(s1233,plain,
( spl0_41
| spl0_66 ),
inference(sat_conversion,[],[f19423]) ).
cnf(s1235,plain,
( spl0_41
| ~ spl0_78
| ~ spl0_98
| spl0_425 ),
inference(sat_conversion,[],[f19431]) ).
cnf(s1238,plain,
( ~ spl0_2
| spl0_41
| spl0_270 ),
inference(sat_conversion,[],[f19434]) ).
cnf(s1241,plain,
( ~ spl0_18
| ~ spl0_157 ),
inference(sat_conversion,[],[f19447]) ).
cnf(s1248,plain,
( ~ spl0_45
| spl0_196
| spl0_238
| ~ spl0_328
| spl0_338
| ~ spl0_373 ),
inference(sat_conversion,[],[f19463]) ).
cnf(s1254,plain,
( ~ spl0_60
| ~ spl0_150
| ~ spl0_305 ),
inference(sat_conversion,[],[f19501]) ).
cnf(s1257,plain,
( ~ spl0_78
| ~ spl0_150
| spl0_166 ),
inference(sat_conversion,[],[f19503]) ).
cnf(s1259,plain,
( ~ spl0_68
| spl0_78
| ~ spl0_85
| spl0_319 ),
inference(sat_conversion,[],[f19508]) ).
cnf(s1262,plain,
( ~ spl0_326
| spl0_354
| spl0_360 ),
inference(sat_conversion,[],[f19511]) ).
cnf(s1269,plain,
( ~ spl0_66
| ~ spl0_146
| ~ spl0_171
| spl0_238 ),
inference(sat_conversion,[],[f19582]) ).
cnf(s1282,plain,
( ~ spl0_37
| ~ spl0_155
| ~ spl0_168 ),
inference(sat_conversion,[],[f19730]) ).
cnf(s1285,plain,
( ~ spl0_18
| ~ spl0_336 ),
inference(sat_conversion,[],[f19748]) ).
cnf(s1286,plain,
( ~ spl0_18
| ~ spl0_349 ),
inference(sat_conversion,[],[f19750]) ).
cnf(s1293,plain,
( ~ spl0_279
| ~ spl0_326
| ~ spl0_426 ),
inference(sat_conversion,[],[f19898]) ).
cnf(s1294,plain,
( spl0_279
| spl0_407 ),
inference(sat_conversion,[],[f19905]) ).
cnf(s1300,plain,
( ~ spl0_9
| ~ spl0_18
| spl0_56
| ~ spl0_66 ),
inference(sat_conversion,[],[f19971]) ).
cnf(s1302,plain,
( ~ spl0_56
| spl0_394 ),
inference(sat_conversion,[],[f19988]) ).
cnf(s1315,plain,
( spl0_165
| spl0_173
| spl0_305 ),
inference(sat_conversion,[],[f20137]) ).
cnf(s1350,plain,
( ~ spl0_3
| ~ spl0_241
| ~ spl0_436 ),
inference(sat_conversion,[],[f20632]) ).
cnf(s1351,plain,
( ~ spl0_18
| ~ spl0_171
| ~ spl0_436 ),
inference(sat_conversion,[],[f20634]) ).
cnf(s1352,plain,
( ~ spl0_28
| ~ spl0_155
| ~ spl0_331 ),
inference(sat_conversion,[],[f20644]) ).
cnf(s1353,plain,
( ~ spl0_164
| ~ spl0_329
| ~ spl0_394 ),
inference(sat_conversion,[],[f20645]) ).
cnf(s1356,plain,
( ~ spl0_285
| ~ spl0_327
| ~ spl0_408 ),
inference(sat_conversion,[],[f20648]) ).
cnf(s1361,plain,
( ~ spl0_3
| spl0_150
| ~ spl0_371
| spl0_372
| ~ spl0_434 ),
inference(sat_conversion,[],[f20656]) ).
cnf(s1368,plain,
( ~ spl0_37
| ~ spl0_157
| ~ spl0_269 ),
inference(sat_conversion,[],[f20675]) ).
cnf(s1369,plain,
( ~ spl0_173
| spl0_353
| ~ spl0_426 ),
inference(sat_conversion,[],[f20676]) ).
cnf(s1380,plain,
( ~ spl0_3
| spl0_178
| spl0_196
| ~ spl0_241
| ~ spl0_328 ),
inference(sat_conversion,[],[f20865]) ).
cnf(s1392,plain,
( ~ spl0_332
| ~ spl0_400 ),
inference(sat_conversion,[],[f20954]) ).
cnf(s1403,plain,
( ~ spl0_155
| ~ spl0_353
| ~ spl0_408 ),
inference(sat_conversion,[],[f21047]) ).
cnf(s1404,plain,
( ~ spl0_60
| ~ spl0_367
| ~ spl0_418 ),
inference(sat_conversion,[],[f21049]) ).
cnf(s1412,plain,
( ~ spl0_166
| ~ spl0_353
| ~ spl0_354 ),
inference(sat_conversion,[],[f21120]) ).
cnf(s1418,plain,
( ~ spl0_69
| ~ spl0_166
| ~ spl0_353
| spl0_418 ),
inference(sat_conversion,[],[f21187]) ).
cnf(s1421,plain,
( ~ spl0_173
| ~ spl0_207
| spl0_347 ),
inference(sat_conversion,[],[f21220]) ).
cnf(s1423,plain,
( ~ spl0_166
| ~ spl0_347
| ~ spl0_349 ),
inference(sat_conversion,[],[f21231]) ).
cnf(s1424,plain,
( ~ spl0_155
| ~ spl0_347
| ~ spl0_410 ),
inference(sat_conversion,[],[f21233]) ).
cnf(s1426,plain,
( ~ spl0_166
| spl0_294
| ~ spl0_347 ),
inference(sat_conversion,[],[f21250]) ).
cnf(s1427,plain,
( ~ spl0_69
| ~ spl0_279
| ~ spl0_294 ),
inference(sat_conversion,[],[f21292]) ).
cnf(s1430,plain,
( ~ spl0_60
| ~ spl0_197
| ~ spl0_407 ),
inference(sat_conversion,[],[f21299]) ).
cnf(s1432,plain,
( spl0_160
| ~ spl0_348
| spl0_354 ),
inference(sat_conversion,[],[f21350]) ).
cnf(s1435,plain,
( spl0_231
| ~ spl0_327
| ~ spl0_348
| ~ spl0_413 ),
inference(sat_conversion,[],[f21353]) ).
cnf(s1439,plain,
( spl0_178
| ~ spl0_327
| spl0_353
| ~ spl0_356
| spl0_441 ),
inference(sat_conversion,[],[f21409]) ).
cnf(s1445,plain,
( spl0_39
| ~ spl0_275
| ~ spl0_325
| spl0_426
| spl0_441 ),
inference(sat_conversion,[],[f21494]) ).
cnf(s1447,plain,
( ~ spl0_157
| ~ spl0_197
| ~ spl0_379 ),
inference(sat_conversion,[],[f21523]) ).
cnf(s1453,plain,
( ~ spl0_327
| ~ spl0_342 ),
inference(sat_conversion,[],[f21578]) ).
cnf(s1469,plain,
( spl0_294
| ~ spl0_325
| ~ spl0_376 ),
inference(sat_conversion,[],[f21751]) ).
cnf(s1479,plain,
( ~ spl0_275
| ~ spl0_277
| ~ spl0_455 ),
inference(sat_conversion,[],[f21821]) ).
cnf(s1498,plain,
( ~ spl0_2
| spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f21871]) ).
cnf(s1499,plain,
( spl0_6
| spl0_8
| spl0_37
| ~ spl0_45 ),
inference(sat_conversion,[],[f21872]) ).
cnf(s1502,plain,
( spl0_3
| ~ spl0_27
| ~ spl0_146
| spl0_466 ),
inference(sat_conversion,[],[f21924]) ).
cnf(s1504,plain,
( ~ spl0_113
| ~ spl0_157
| ~ spl0_466 ),
inference(sat_conversion,[],[f21965]) ).
cnf(s1514,plain,
( ~ spl0_27
| spl0_279 ),
inference(sat_conversion,[],[f22036]) ).
cnf(s1521,plain,
( ~ spl0_45
| spl0_150
| spl0_169
| ~ spl0_291
| ~ spl0_348
| spl0_397 ),
inference(sat_conversion,[],[f22063]) ).
cnf(s1532,plain,
( ~ spl0_84
| ~ spl0_279
| ~ spl0_293 ),
inference(sat_conversion,[],[f22155]) ).
cnf(s1533,plain,
( ~ spl0_12
| ~ spl0_84
| spl0_455 ),
inference(sat_conversion,[],[f22156]) ).
cnf(s1534,plain,
( ~ spl0_12
| ~ spl0_27
| spl0_29
| ~ spl0_163 ),
inference(sat_conversion,[],[f22158]) ).
cnf(s1538,plain,
( ~ spl0_202
| ~ spl0_293
| ~ spl0_319 ),
inference(sat_conversion,[],[f22194]) ).
cnf(s1543,plain,
( ~ spl0_27
| ~ spl0_294
| spl0_431 ),
inference(sat_conversion,[],[f22245]) ).
cnf(s1544,plain,
( spl0_104
| spl0_208
| ~ spl0_294
| ~ spl0_357 ),
inference(sat_conversion,[],[f22246]) ).
cnf(s1553,plain,
( ~ spl0_66
| ~ spl0_206
| ~ spl0_294 ),
inference(sat_conversion,[],[f22305]) ).
cnf(s1558,plain,
( ~ spl0_27
| ~ spl0_328
| spl0_415 ),
inference(sat_conversion,[],[f22338]) ).
cnf(s1564,plain,
( ~ spl0_27
| ~ spl0_58
| ~ spl0_208 ),
inference(sat_conversion,[],[f22416]) ).
cnf(s1566,plain,
( ~ spl0_26
| ~ spl0_285
| ~ spl0_470 ),
inference(sat_conversion,[],[f22436]) ).
cnf(s1569,plain,
( ~ spl0_41
| ~ spl0_166
| ~ spl0_477 ),
inference(sat_conversion,[],[f22453]) ).
cnf(s1572,plain,
( ~ spl0_342
| ~ spl0_367 ),
inference(sat_conversion,[],[f22473]) ).
cnf(s1575,plain,
( ~ spl0_349
| ~ spl0_455
| ~ spl0_471 ),
inference(sat_conversion,[],[f22480]) ).
cnf(s1576,plain,
( spl0_163
| ~ spl0_434
| spl0_470 ),
inference(sat_conversion,[],[f22481]) ).
cnf(s1586,plain,
( ~ spl0_30
| ~ spl0_319
| spl0_455 ),
inference(sat_conversion,[],[f22550]) ).
cnf(s1592,plain,
( spl0_53
| spl0_455 ),
inference(sat_conversion,[],[f22588]) ).
cnf(s1594,plain,
( spl0_53
| spl0_455 ),
inference(sat_conversion,[],[f22591]) ).
cnf(s1597,plain,
( ~ spl0_34
| ~ spl0_157
| ~ spl0_238
| spl0_455 ),
inference(sat_conversion,[],[f22599]) ).
cnf(s1603,plain,
( ~ spl0_1
| spl0_277
| spl0_470 ),
inference(sat_conversion,[],[f22621]) ).
cnf(s1605,plain,
( ~ spl0_157
| ~ spl0_455
| ~ spl0_478 ),
inference(sat_conversion,[],[f22642]) ).
cnf(s1606,plain,
( ~ spl0_1
| spl0_238
| spl0_477 ),
inference(sat_conversion,[],[f22643]) ).
cnf(s1610,plain,
( spl0_241
| spl0_477 ),
inference(sat_conversion,[],[f22688]) ).
cnf(s1617,plain,
( ~ spl0_197
| ~ spl0_470
| ~ spl0_480 ),
inference(sat_conversion,[],[f22727]) ).
cnf(s1618,plain,
( ~ spl0_1
| spl0_41
| spl0_455 ),
inference(sat_conversion,[],[f22728]) ).
cnf(s1627,plain,
( spl0_45
| ~ spl0_293
| spl0_470 ),
inference(sat_conversion,[],[f22792]) ).
cnf(s1631,plain,
( ~ spl0_187
| ~ spl0_348
| ~ spl0_363 ),
inference(sat_conversion,[],[f22813]) ).
cnf(s1638,plain,
( ~ spl0_66
| spl0_354
| ~ spl0_468 ),
inference(sat_conversion,[],[f22900]) ).
cnf(s1639,plain,
( ~ spl0_12
| ~ spl0_27
| ~ spl0_468 ),
inference(sat_conversion,[],[f22902]) ).
cnf(s1641,plain,
( ~ spl0_325
| ~ spl0_397
| ~ spl0_461 ),
inference(sat_conversion,[],[f22926]) ).
cnf(s1644,plain,
( ~ spl0_1
| ~ spl0_367
| spl0_397
| ~ spl0_480 ),
inference(sat_conversion,[],[f22934]) ).
cnf(s1645,plain,
( ~ spl0_1
| spl0_397
| spl0_472 ),
inference(sat_conversion,[],[f22935]) ).
cnf(s1655,plain,
( ~ spl0_277
| ~ spl0_327
| ~ spl0_453 ),
inference(sat_conversion,[],[f22996]) ).
cnf(s1656,plain,
( ~ spl0_27
| ~ spl0_173
| ~ spl0_436 ),
inference(sat_conversion,[],[f23028]) ).
cnf(s1660,plain,
( ~ spl0_104
| ~ spl0_166
| ~ spl0_353
| ~ spl0_369 ),
inference(sat_conversion,[],[f23086]) ).
cnf(s1664,plain,
( ~ spl0_45
| spl0_206
| ~ spl0_293
| ~ spl0_351 ),
inference(sat_conversion,[],[f23141]) ).
cnf(s1668,plain,
( ~ spl0_285
| spl0_294
| ~ spl0_420 ),
inference(sat_conversion,[],[f23160]) ).
cnf(s1669,plain,
( spl0_59
| ~ spl0_327
| ~ spl0_388
| spl0_434 ),
inference(sat_conversion,[],[f23173]) ).
cnf(s1676,plain,
( ~ spl0_277
| ~ spl0_343
| ~ spl0_472 ),
inference(sat_conversion,[],[f23248]) ).
cnf(s1677,plain,
( ~ spl0_325
| ~ spl0_470
| ~ spl0_474 ),
inference(sat_conversion,[],[f23251]) ).
cnf(s1679,plain,
( spl0_369
| spl0_472 ),
inference(sat_conversion,[],[f23253]) ).
cnf(s1680,plain,
( ~ spl0_34
| ~ spl0_277
| ~ spl0_327
| ~ spl0_343 ),
inference(sat_conversion,[],[f23256]) ).
cnf(s1683,plain,
( spl0_104
| ~ spl0_166
| ~ spl0_353
| spl0_397
| spl0_441 ),
inference(sat_conversion,[],[f23258]) ).
cnf(s1684,plain,
( ~ spl0_325
| ~ spl0_357 ),
inference(sat_conversion,[],[f23264]) ).
cnf(s1711,plain,
( spl0_65
| ~ spl0_66
| ~ spl0_166
| ~ spl0_353
| ~ spl0_485 ),
inference(sat_conversion,[],[f23479]) ).
cnf(s1713,plain,
( ~ spl0_105
| ~ spl0_400
| ~ spl0_455
| ~ spl0_483 ),
inference(sat_conversion,[],[f23509]) ).
cnf(s1714,plain,
( spl0_450
| spl0_481 ),
inference(sat_conversion,[],[f23512]) ).
cnf(s1719,plain,
( ~ spl0_52
| ~ spl0_152
| spl0_196
| ~ spl0_328 ),
inference(sat_conversion,[],[f23580]) ).
cnf(s1721,plain,
( ~ spl0_52
| ~ spl0_293
| ~ spl0_324
| spl0_367 ),
inference(sat_conversion,[],[f23583]) ).
cnf(s1728,plain,
( spl0_69
| ~ spl0_173
| spl0_285
| ~ spl0_437 ),
inference(sat_conversion,[],[f23740]) ).
cnf(s1732,plain,
( ~ spl0_27
| spl0_69
| ~ spl0_153
| ~ spl0_380 ),
inference(sat_conversion,[],[f23802]) ).
cnf(s1735,plain,
( ~ spl0_196
| ~ spl0_480
| ~ spl0_481 ),
inference(sat_conversion,[],[f23824]) ).
cnf(s1738,plain,
( ~ spl0_180
| ~ spl0_328
| ~ spl0_450 ),
inference(sat_conversion,[],[f23827]) ).
cnf(s1740,plain,
( ~ spl0_41
| ~ spl0_356
| ~ spl0_470 ),
inference(sat_conversion,[],[f23829]) ).
cnf(s1741,plain,
( ~ spl0_197
| ~ spl0_357 ),
inference(sat_conversion,[],[f23831]) ).
cnf(s1746,plain,
( ~ spl0_150
| ~ spl0_298
| ~ spl0_334
| spl0_400 ),
inference(sat_conversion,[],[f23841]) ).
cnf(s1749,plain,
( ~ spl0_105
| ~ spl0_150
| ~ spl0_166
| ~ spl0_334 ),
inference(sat_conversion,[],[f23845]) ).
cnf(s1751,plain,
( ~ spl0_34
| ~ spl0_277
| ~ spl0_349
| spl0_455 ),
inference(sat_conversion,[],[f23847]) ).
cnf(s1752,plain,
( ~ spl0_197
| ~ spl0_298
| ~ spl0_327
| spl0_397 ),
inference(sat_conversion,[],[f23848]) ).
cnf(s1757,plain,
( ~ spl0_105
| spl0_157
| ~ spl0_238
| ~ spl0_455 ),
inference(sat_conversion,[],[f23877]) ).
cnf(s1769,plain,
( ~ spl0_150
| ~ spl0_477
| ~ spl0_480 ),
inference(sat_conversion,[],[f23991]) ).
cnf(s1770,plain,
( ~ spl0_41
| ~ spl0_150
| ~ spl0_482 ),
inference(sat_conversion,[],[f23993]) ).
cnf(s1773,plain,
( ~ spl0_113
| spl0_238 ),
inference(sat_conversion,[],[f24007]) ).
cnf(s1777,plain,
( spl0_163
| ~ spl0_171
| spl0_455 ),
inference(sat_conversion,[],[f24016]) ).
cnf(s1784,plain,
( ~ spl0_332
| ~ spl0_394 ),
inference(sat_conversion,[],[f24064]) ).
cnf(s1786,plain,
( spl0_45
| spl0_150
| spl0_477 ),
inference(sat_conversion,[],[f24087]) ).
cnf(s1790,plain,
( ~ spl0_68
| spl0_157
| ~ spl0_187 ),
inference(sat_conversion,[],[f24091]) ).
cnf(s1793,plain,
( ~ spl0_68
| spl0_319
| spl0_354
| ~ spl0_416 ),
inference(sat_conversion,[],[f24095]) ).
cnf(s1795,plain,
( ~ spl0_202
| spl0_203
| ~ spl0_324
| ~ spl0_416 ),
inference(sat_conversion,[],[f24096]) ).
cnf(s1798,plain,
( ~ spl0_113
| spl0_277 ),
inference(sat_conversion,[],[f24111]) ).
cnf(s1811,plain,
( ~ spl0_238
| ~ spl0_347
| ~ spl0_461 ),
inference(sat_conversion,[],[f24260]) ).
cnf(s1814,plain,
( ~ spl0_329
| ~ spl0_477
| ~ spl0_483 ),
inference(sat_conversion,[],[f24283]) ).
cnf(s1821,plain,
( ~ spl0_66
| ~ spl0_178
| spl0_238 ),
inference(sat_conversion,[],[f24333]) ).
cnf(s1824,plain,
( ~ spl0_27
| ~ spl0_58
| ~ spl0_175 ),
inference(sat_conversion,[],[f24385]) ).
cnf(s1825,plain,
( ~ spl0_104
| ~ spl0_294
| ~ spl0_371 ),
inference(sat_conversion,[],[f24403]) ).
cnf(s1826,plain,
( ~ spl0_104
| ~ spl0_171
| ~ spl0_241 ),
inference(sat_conversion,[],[f24405]) ).
cnf(s1831,plain,
( spl0_371
| spl0_470 ),
inference(sat_conversion,[],[f24459]) ).
cnf(s1833,plain,
( ~ spl0_391
| ~ spl0_471
| ~ spl0_477 ),
inference(sat_conversion,[],[f24472]) ).
cnf(s1834,plain,
( spl0_357
| ~ spl0_391
| spl0_393 ),
inference(sat_conversion,[],[f24473]) ).
cnf(s1839,plain,
( ~ spl0_277
| ~ spl0_391
| ~ spl0_482 ),
inference(sat_conversion,[],[f24494]) ).
cnf(s1847,plain,
( ~ spl0_386
| ~ spl0_397
| ~ spl0_482 ),
inference(sat_conversion,[],[f24590]) ).
cnf(s1869,plain,
( ~ spl0_347
| ~ spl0_470
| ~ spl0_478 ),
inference(sat_conversion,[],[f24839]) ).
cnf(s1875,plain,
( ~ spl0_238
| ~ spl0_393
| ~ spl0_470 ),
inference(sat_conversion,[],[f24938]) ).
cnf(s1876,plain,
( ~ spl0_388
| ~ spl0_397
| ~ spl0_477 ),
inference(sat_conversion,[],[f24962]) ).
cnf(s1883,plain,
( ~ spl0_18
| ~ spl0_32
| spl0_56
| ~ spl0_68 ),
inference(sat_conversion,[],[f25031]) ).
cnf(s1884,plain,
( ~ spl0_163
| spl0_206
| ~ spl0_351
| ~ spl0_434 ),
inference(sat_conversion,[],[f25073]) ).
cnf(s1885,plain,
( spl0_65
| ~ spl0_66
| ~ spl0_163
| ~ spl0_171 ),
inference(sat_conversion,[],[f25074]) ).
cnf(s1887,plain,
( ~ spl0_18
| spl0_65
| ~ spl0_66
| ~ spl0_163 ),
inference(sat_conversion,[],[f25078]) ).
cnf(s1888,plain,
( ~ spl0_327
| ~ spl0_471
| ~ spl0_472 ),
inference(sat_conversion,[],[f25080]) ).
cnf(s1893,plain,
( ~ spl0_238
| ~ spl0_353
| ~ spl0_453 ),
inference(sat_conversion,[],[f25106]) ).
cnf(s1894,plain,
( ~ spl0_241
| ~ spl0_417
| ~ spl0_434 ),
inference(sat_conversion,[],[f25127]) ).
cnf(s1900,plain,
( spl0_59
| spl0_284
| ~ spl0_353
| ~ spl0_377 ),
inference(sat_conversion,[],[f25237]) ).
cnf(s1908,plain,
( ~ spl0_326
| ~ spl0_360
| spl0_441
| ~ spl0_494 ),
inference(sat_conversion,[],[f25330]) ).
cnf(s1921,plain,
( ~ spl0_18
| spl0_294
| spl0_402 ),
inference(sat_conversion,[],[f25532]) ).
cnf(s1922,plain,
( ~ spl0_18
| spl0_165
| spl0_294 ),
inference(sat_conversion,[],[f25534]) ).
cnf(s1926,plain,
( ~ spl0_324
| spl0_470
| spl0_485 ),
inference(sat_conversion,[],[f25541]) ).
cnf(s1927,plain,
( ~ spl0_56
| spl0_155 ),
inference(sat_conversion,[],[f25543]) ).
cnf(s1929,plain,
( spl0_367
| spl0_494 ),
inference(sat_conversion,[],[f25545]) ).
cnf(s1932,plain,
( spl0_340
| spl0_367
| spl0_494 ),
inference(sat_conversion,[],[f25547]) ).
cnf(s1936,plain,
( ~ spl0_6
| ~ spl0_60
| ~ spl0_455 ),
inference(sat_conversion,[],[f25559]) ).
cnf(s1937,plain,
( spl0_197
| spl0_293
| spl0_402 ),
inference(sat_conversion,[],[f25561]) ).
cnf(s1946,plain,
( spl0_165
| spl0_197
| spl0_293 ),
inference(sat_conversion,[],[f25575]) ).
cnf(s1947,plain,
( ~ spl0_68
| spl0_155
| ~ spl0_178 ),
inference(sat_conversion,[],[f25576]) ).
cnf(s1959,plain,
( ~ spl0_277
| ~ spl0_379
| ~ spl0_477 ),
inference(sat_conversion,[],[f25642]) ).
cnf(s1961,plain,
( ~ spl0_26
| ~ spl0_155
| ~ spl0_477 ),
inference(sat_conversion,[],[f25651]) ).
cnf(s1977,plain,
( ~ spl0_329
| ~ spl0_400
| ~ spl0_482 ),
inference(sat_conversion,[],[f25822]) ).
cnf(s1978,plain,
( spl0_29
| ~ spl0_30
| ~ spl0_415
| spl0_481 ),
inference(sat_conversion,[],[f25823]) ).
cnf(s1991,plain,
( ~ spl0_160
| ~ spl0_348
| spl0_441
| ~ spl0_494 ),
inference(sat_conversion,[],[f25920]) ).
cnf(s1997,plain,
( ~ spl0_98
| ~ spl0_285
| ~ spl0_327
| spl0_397 ),
inference(sat_conversion,[],[f26008]) ).
cnf(s1998,plain,
( ~ spl0_6
| ~ spl0_269
| ~ spl0_477 ),
inference(sat_conversion,[],[f26009]) ).
cnf(s1999,plain,
( ~ spl0_6
| ~ spl0_419
| ~ spl0_472 ),
inference(sat_conversion,[],[f26010]) ).
cnf(s2000,plain,
( ~ spl0_6
| ~ spl0_34
| ~ spl0_285
| spl0_470 ),
inference(sat_conversion,[],[f26011]) ).
cnf(s2001,plain,
( ~ spl0_6
| ~ spl0_285
| ~ spl0_461 ),
inference(sat_conversion,[],[f26012]) ).
cnf(s2002,plain,
( ~ spl0_6
| ~ spl0_155
| ~ spl0_482 ),
inference(sat_conversion,[],[f26013]) ).
cnf(s2004,plain,
( ~ spl0_5
| ~ spl0_202
| ~ spl0_324
| spl0_395
| spl0_463 ),
inference(sat_conversion,[],[f26015]) ).
cnf(s2007,plain,
( ~ spl0_5
| ~ spl0_68
| spl0_285
| ~ spl0_294
| spl0_417 ),
inference(sat_conversion,[],[f26019]) ).
cnf(s2009,plain,
( ~ spl0_21
| ~ spl0_277
| ~ spl0_410 ),
inference(sat_conversion,[],[f26021]) ).
cnf(s2011,plain,
( ~ spl0_5
| spl0_155
| spl0_180
| ~ spl0_348
| ~ spl0_363 ),
inference(sat_conversion,[],[f26023]) ).
cnf(s2013,plain,
( ~ spl0_21
| ~ spl0_164
| ~ spl0_238 ),
inference(sat_conversion,[],[f26025]) ).
cnf(s2015,plain,
( ~ spl0_21
| ~ spl0_305
| ~ spl0_478 ),
inference(sat_conversion,[],[f26044]) ).
cnf(s2017,plain,
( ~ spl0_23
| ~ spl0_277
| ~ spl0_407 ),
inference(sat_conversion,[],[f26072]) ).
cnf(s2020,plain,
( ~ spl0_26
| ~ spl0_395
| ~ spl0_472 ),
inference(sat_conversion,[],[f26098]) ).
cnf(s2025,plain,
( spl0_44
| ~ spl0_84 ),
inference(sat_conversion,[],[f26231]) ).
cnf(s2027,plain,
( ~ spl0_173
| ~ spl0_327
| ~ spl0_413
| ~ spl0_432 ),
inference(sat_conversion,[],[f26252]) ).
cnf(s2031,plain,
( ~ spl0_30
| spl0_395
| ~ spl0_463 ),
inference(sat_conversion,[],[f26262]) ).
cnf(s2037,plain,
( ~ spl0_1
| spl0_6
| spl0_21 ),
inference(sat_conversion,[],[f26271]) ).
cnf(s2038,plain,
( spl0_21
| ~ spl0_34
| ~ spl0_37
| ~ spl0_41 ),
inference(sat_conversion,[],[f26272]) ).
cnf(s2043,plain,
( ~ spl0_26
| ~ spl0_39
| ~ spl0_455 ),
inference(sat_conversion,[],[f26316]) ).
cnf(s2046,plain,
( ~ spl0_6
| ~ spl0_34
| ~ spl0_39
| spl0_455 ),
inference(sat_conversion,[],[f26325]) ).
cnf(s2048,plain,
( ~ spl0_53
| ~ spl0_208
| spl0_470 ),
inference(sat_conversion,[],[f26330]) ).
cnf(s2049,plain,
( ~ spl0_53
| spl0_367
| ~ spl0_463 ),
inference(sat_conversion,[],[f26331]) ).
cnf(s2058,plain,
( ~ spl0_23
| ~ spl0_37
| ~ spl0_41 ),
inference(sat_conversion,[],[f26365]) ).
cnf(s2060,plain,
( ~ spl0_43
| spl0_150
| ~ spl0_153
| spl0_187 ),
inference(sat_conversion,[],[f26391]) ).
cnf(s2066,plain,
( ~ spl0_21
| ~ spl0_37
| ~ spl0_480 ),
inference(sat_conversion,[],[f26441]) ).
cnf(s2072,plain,
( spl0_294
| spl0_349 ),
inference(sat_conversion,[],[f26479]) ).
cnf(s2073,plain,
( spl0_165
| spl0_294
| spl0_349 ),
inference(sat_conversion,[],[f26481]) ).
cnf(s2076,plain,
( ~ spl0_293
| ~ spl0_371
| ~ spl0_506 ),
inference(sat_conversion,[],[f26507]) ).
cnf(s2080,plain,
( ~ spl0_294
| spl0_455
| spl0_505 ),
inference(sat_conversion,[],[f26538]) ).
cnf(s2083,plain,
( ~ spl0_21
| ~ spl0_41
| ~ spl0_61 ),
inference(sat_conversion,[],[f26555]) ).
cnf(s2084,plain,
( ~ spl0_1
| ~ spl0_21
| ~ spl0_61
| spl0_455 ),
inference(sat_conversion,[],[f26557]) ).
cnf(s2092,plain,
( ~ spl0_12
| ~ spl0_181
| spl0_238 ),
inference(sat_conversion,[],[f26651]) ).
cnf(s2094,plain,
( ~ spl0_26
| ~ spl0_394
| ~ spl0_481 ),
inference(sat_conversion,[],[f26668]) ).
cnf(s2101,plain,
( ~ spl0_60
| ~ spl0_150
| ~ spl0_328
| spl0_415 ),
inference(sat_conversion,[],[f26736]) ).
cnf(s2106,plain,
( ~ spl0_175
| ~ spl0_348
| ~ spl0_494 ),
inference(sat_conversion,[],[f26806]) ).
cnf(s2112,plain,
( ~ spl0_21
| ~ spl0_407
| ~ spl0_471 ),
inference(sat_conversion,[],[f26826]) ).
cnf(s2113,plain,
( ~ spl0_37
| ~ spl0_349
| ~ spl0_413 ),
inference(sat_conversion,[],[f26838]) ).
cnf(s2118,plain,
( ~ spl0_37
| ~ spl0_336
| ~ spl0_430 ),
inference(sat_conversion,[],[f26932]) ).
cnf(s2119,plain,
( ~ spl0_12
| ~ spl0_60
| ~ spl0_367
| ~ spl0_468 ),
inference(sat_conversion,[],[f26962]) ).
cnf(s2120,plain,
( ~ spl0_354
| ~ spl0_397
| ~ spl0_460 ),
inference(sat_conversion,[],[f26964]) ).
cnf(s2125,plain,
( ~ spl0_41
| ~ spl0_367
| ~ spl0_453 ),
inference(sat_conversion,[],[f26989]) ).
cnf(s2126,plain,
( ~ spl0_58
| ~ spl0_175
| spl0_305 ),
inference(sat_conversion,[],[f26990]) ).
cnf(s2131,plain,
( ~ spl0_30
| spl0_37
| ~ spl0_506 ),
inference(sat_conversion,[],[f26997]) ).
cnf(s2132,plain,
( spl0_37
| ~ spl0_82
| spl0_84 ),
inference(sat_conversion,[],[f26998]) ).
cnf(s2142,plain,
( ~ spl0_6
| ~ spl0_39
| ~ spl0_460 ),
inference(sat_conversion,[],[f27037]) ).
cnf(s2145,plain,
( ~ spl0_78
| ~ spl0_397
| ~ spl0_460 ),
inference(sat_conversion,[],[f27088]) ).
cnf(s2153,plain,
( ~ spl0_34
| ~ spl0_41
| ~ spl0_197
| spl0_470 ),
inference(sat_conversion,[],[f27127]) ).
cnf(s2169,plain,
( ~ spl0_41
| ~ spl0_197
| ~ spl0_461 ),
inference(sat_conversion,[],[f27268]) ).
cnf(s2172,plain,
( ~ spl0_12
| ~ spl0_207
| spl0_277 ),
inference(sat_conversion,[],[f27320]) ).
cnf(s2175,plain,
( ~ spl0_342
| spl0_348 ),
inference(sat_conversion,[],[f27363]) ).
cnf(s2176,plain,
( spl0_338
| ~ spl0_342
| spl0_348 ),
inference(sat_conversion,[],[f27364]) ).
cnf(s2177,plain,
( ~ spl0_6
| ~ spl0_413
| ~ spl0_470 ),
inference(sat_conversion,[],[f27365]) ).
cnf(s2184,plain,
( ~ spl0_23
| ~ spl0_397
| ~ spl0_418 ),
inference(sat_conversion,[],[f27386]) ).
cnf(s2186,plain,
( ~ spl0_152
| ~ spl0_208
| ~ spl0_284 ),
inference(sat_conversion,[],[f27434]) ).
cnf(s2189,plain,
( ~ spl0_347
| ~ spl0_357 ),
inference(sat_conversion,[],[f27452]) ).
cnf(s2196,plain,
( ~ spl0_208
| ~ spl0_326
| ~ spl0_494 ),
inference(sat_conversion,[],[f27578]) ).
cnf(s2201,plain,
( ~ spl0_82
| ~ spl0_152
| ~ spl0_293
| ~ spl0_357 ),
inference(sat_conversion,[],[f27656]) ).
cnf(s2202,plain,
( ~ spl0_58
| ~ spl0_82
| spl0_285
| ~ spl0_293 ),
inference(sat_conversion,[],[f27657]) ).
cnf(s2203,plain,
( ~ spl0_53
| ~ spl0_82
| spl0_277
| ~ spl0_293 ),
inference(sat_conversion,[],[f27658]) ).
cnf(s2208,plain,
( ~ spl0_41
| ~ spl0_376
| ~ spl0_472 ),
inference(sat_conversion,[],[f27706]) ).
cnf(s2215,plain,
( ~ spl0_293
| ~ spl0_324
| ~ spl0_441 ),
inference(sat_conversion,[],[f27761]) ).
cnf(s2217,plain,
( ~ spl0_32
| ~ spl0_202
| ~ spl0_324
| spl0_395 ),
inference(sat_conversion,[],[f27788]) ).
cnf(s2219,plain,
( ~ spl0_32
| ~ spl0_153
| ~ spl0_328
| spl0_394 ),
inference(sat_conversion,[],[f27794]) ).
cnf(s2220,plain,
( ~ spl0_32
| spl0_285
| ~ spl0_326
| ~ spl0_363 ),
inference(sat_conversion,[],[f27795]) ).
cnf(s2222,plain,
( ~ spl0_32
| spl0_39
| ~ spl0_202
| ~ spl0_293 ),
inference(sat_conversion,[],[f27797]) ).
cnf(s2224,plain,
( ~ spl0_60
| ~ spl0_279
| ~ spl0_344
| ~ spl0_367 ),
inference(sat_conversion,[],[f27834]) ).
cnf(s2229,plain,
( ~ spl0_43
| ~ spl0_202
| spl0_203
| ~ spl0_293 ),
inference(sat_conversion,[],[f27884]) ).
cnf(s2230,plain,
( ~ spl0_326
| ~ spl0_359
| spl0_468
| ~ spl0_505 ),
inference(sat_conversion,[],[f27900]) ).
cnf(s2239,plain,
( ~ spl0_175
| ~ spl0_293
| ~ spl0_357 ),
inference(sat_conversion,[],[f28013]) ).
cnf(s2240,plain,
( spl0_39
| spl0_207
| spl0_208
| ~ spl0_293 ),
inference(sat_conversion,[],[f28014]) ).
cnf(s2244,plain,
( ~ spl0_1
| ~ spl0_384
| ~ spl0_455
| spl0_481 ),
inference(sat_conversion,[],[f28018]) ).
cnf(s2247,plain,
( ~ spl0_324
| spl0_407
| spl0_416 ),
inference(sat_conversion,[],[f28021]) ).
cnf(s2257,plain,
( ~ spl0_155
| spl0_171
| ~ spl0_420 ),
inference(sat_conversion,[],[f28074]) ).
cnf(s2271,plain,
( ~ spl0_18
| spl0_150
| spl0_175
| spl0_508 ),
inference(sat_conversion,[],[f28169]) ).
cnf(s2272,plain,
( ~ spl0_18
| spl0_82
| spl0_150 ),
inference(sat_conversion,[],[f28170]) ).
cnf(s2273,plain,
( ~ spl0_65
| ~ spl0_293
| ~ spl0_351 ),
inference(sat_conversion,[],[f28191]) ).
cnf(s2274,plain,
( ~ spl0_65
| spl0_150
| ~ spl0_291 ),
inference(sat_conversion,[],[f28192]) ).
cnf(s2282,plain,
( spl0_104
| spl0_208
| spl0_277
| ~ spl0_294 ),
inference(sat_conversion,[],[f28228]) ).
cnf(s2290,plain,
( spl0_178
| spl0_353
| ~ spl0_395
| ~ spl0_420
| spl0_441 ),
inference(sat_conversion,[],[f28346]) ).
cnf(s2294,plain,
( spl0_150
| ~ spl0_348
| spl0_438 ),
inference(sat_conversion,[],[f28398]) ).
cnf(s2297,plain,
( spl0_169
| spl0_238
| ~ spl0_508 ),
inference(sat_conversion,[],[f28442]) ).
cnf(s2298,plain,
( ~ spl0_6
| ~ spl0_395
| ~ spl0_453 ),
inference(sat_conversion,[],[f28488]) ).
cnf(s2299,plain,
( ~ spl0_326
| spl0_418
| spl0_431 ),
inference(sat_conversion,[],[f28513]) ).
cnf(s2303,plain,
( ~ spl0_82
| spl0_150
| ~ spl0_293
| spl0_347 ),
inference(sat_conversion,[],[f28572]) ).
cnf(s2309,plain,
( ~ spl0_294
| ~ spl0_326
| ~ spl0_346 ),
inference(sat_conversion,[],[f28620]) ).
cnf(s2310,plain,
( ~ spl0_66
| ~ spl0_346
| spl0_397 ),
inference(sat_conversion,[],[f28622]) ).
cnf(s2312,plain,
( spl0_150
| ~ spl0_153
| ~ spl0_319 ),
inference(sat_conversion,[],[f28624]) ).
cnf(s2313,plain,
( ~ spl0_326
| ~ spl0_371
| ~ spl0_463 ),
inference(sat_conversion,[],[f28625]) ).
cnf(s2314,plain,
( ~ spl0_18
| ~ spl0_354 ),
inference(sat_conversion,[],[f28627]) ).
cnf(s2317,plain,
( ~ spl0_58
| ~ spl0_208
| spl0_407 ),
inference(sat_conversion,[],[f28630]) ).
cnf(s2331,plain,
( ~ spl0_6
| ~ spl0_394
| ~ spl0_452 ),
inference(sat_conversion,[],[f28729]) ).
cnf(s2335,plain,
( ~ spl0_187
| ~ spl0_202
| ~ spl0_434 ),
inference(sat_conversion,[],[f28835]) ).
cnf(s2337,plain,
( spl0_305
| ~ spl0_328
| spl0_415 ),
inference(sat_conversion,[],[f28873]) ).
cnf(s2339,plain,
( spl0_181
| ~ spl0_328
| ~ spl0_332
| spl0_333 ),
inference(sat_conversion,[],[f28879]) ).
cnf(s2344,plain,
( ~ spl0_168
| ~ spl0_238
| ~ spl0_455 ),
inference(sat_conversion,[],[f28901]) ).
cnf(s2345,plain,
( ~ spl0_1
| ~ spl0_150
| ~ spl0_168
| ~ spl0_455
| ~ spl0_480 ),
inference(sat_conversion,[],[f28903]) ).
cnf(s2351,plain,
( ~ spl0_23
| ~ spl0_238
| ~ spl0_305 ),
inference(sat_conversion,[],[f28948]) ).
cnf(s2355,plain,
( ~ spl0_23
| ~ spl0_64
| ~ spl0_238 ),
inference(sat_conversion,[],[f28983]) ).
cnf(s2367,plain,
( spl0_338
| spl0_348
| spl0_353 ),
inference(sat_conversion,[],[f29126]) ).
cnf(s2369,plain,
( spl0_167
| ~ spl0_353
| spl0_388 ),
inference(sat_conversion,[],[f29135]) ).
cnf(s2370,plain,
( ~ spl0_6
| ~ spl0_430
| ~ spl0_481 ),
inference(sat_conversion,[],[f29143]) ).
cnf(s2376,plain,
( ~ spl0_18
| ~ spl0_294
| ~ spl0_344 ),
inference(sat_conversion,[],[f29246]) ).
cnf(s2377,plain,
( ~ spl0_269
| ~ spl0_279
| ~ spl0_344
| ~ spl0_353 ),
inference(sat_conversion,[],[f29247]) ).
cnf(s2381,plain,
( spl0_29
| ~ spl0_30
| ~ spl0_231
| spl0_477 ),
inference(sat_conversion,[],[f29341]) ).
cnf(s2384,plain,
( ~ spl0_99
| ~ spl0_150
| ~ spl0_269
| ~ spl0_353 ),
inference(sat_conversion,[],[f29373]) ).
cnf(s2386,plain,
( ~ spl0_99
| ~ spl0_150
| ~ spl0_269
| ~ spl0_347 ),
inference(sat_conversion,[],[f29377]) ).
cnf(s2389,plain,
( ~ spl0_326
| spl0_346
| ~ spl0_502
| ~ spl0_511 ),
inference(sat_conversion,[],[f29466]) ).
cnf(s2391,plain,
( ~ spl0_68
| spl0_69
| spl0_407
| ~ spl0_502 ),
inference(sat_conversion,[],[f29468]) ).
cnf(s2396,plain,
( ~ spl0_18
| spl0_340
| spl0_511 ),
inference(sat_conversion,[],[f29494]) ).
cnf(s2397,plain,
( ~ spl0_22
| ~ spl0_326
| ~ spl0_359
| spl0_407
| spl0_468 ),
inference(sat_conversion,[],[f29524]) ).
cnf(s2398,plain,
( ~ spl0_22
| spl0_206
| ~ spl0_324
| ~ spl0_351
| spl0_418 ),
inference(sat_conversion,[],[f29525]) ).
cnf(s2399,plain,
( ~ spl0_22
| spl0_65
| ~ spl0_66
| ~ spl0_294
| spl0_407 ),
inference(sat_conversion,[],[f29527]) ).
cnf(s2402,plain,
( ~ spl0_30
| spl0_285
| ~ spl0_417 ),
inference(sat_conversion,[],[f29530]) ).
cnf(s2404,plain,
( ~ spl0_21
| ~ spl0_35
| ~ spl0_238
| spl0_305 ),
inference(sat_conversion,[],[f29535]) ).
cnf(s2415,plain,
( ~ spl0_21
| ~ spl0_35
| ~ spl0_397
| spl0_418 ),
inference(sat_conversion,[],[f29592]) ).
cnf(s2424,plain,
( ~ spl0_327
| spl0_357
| spl0_377 ),
inference(sat_conversion,[],[f29701]) ).
cnf(s2427,plain,
( ~ spl0_377
| ~ spl0_397
| ~ spl0_470 ),
inference(sat_conversion,[],[f29767]) ).
cnf(s2428,plain,
( ~ spl0_1
| ~ spl0_327
| ~ spl0_377
| ~ spl0_470
| ~ spl0_471 ),
inference(sat_conversion,[],[f29770]) ).
cnf(s2429,plain,
( ~ spl0_68
| ~ spl0_294
| spl0_319
| ~ spl0_431 ),
inference(sat_conversion,[],[f29771]) ).
cnf(s2432,plain,
( ~ spl0_18
| ~ spl0_68
| spl0_319
| ~ spl0_431 ),
inference(sat_conversion,[],[f29776]) ).
cnf(s2438,plain,
( ~ spl0_327
| ~ spl0_413
| ~ spl0_418 ),
inference(sat_conversion,[],[f29822]) ).
cnf(s2439,plain,
( ~ spl0_12
| spl0_397
| ~ spl0_426 ),
inference(sat_conversion,[],[f29823]) ).
cnf(s2443,plain,
( ~ spl0_18
| ~ spl0_66
| spl0_123
| ~ spl0_146 ),
inference(sat_conversion,[],[f29874]) ).
cnf(s2446,plain,
( ~ spl0_66
| ~ spl0_146
| spl0_277
| ~ spl0_294 ),
inference(sat_conversion,[],[f29879]) ).
cnf(s2450,plain,
( ~ spl0_53
| ~ spl0_175
| spl0_477 ),
inference(sat_conversion,[],[f29883]) ).
cnf(s2453,plain,
( ~ spl0_241
| spl0_347
| ~ spl0_417 ),
inference(sat_conversion,[],[f29886]) ).
cnf(s2454,plain,
( ~ spl0_82
| spl0_455
| spl0_506 ),
inference(sat_conversion,[],[f29887]) ).
cnf(s2463,plain,
( ~ spl0_168
| ~ spl0_329
| ~ spl0_450
| ~ spl0_506 ),
inference(sat_conversion,[],[f29990]) ).
cnf(s2469,plain,
( spl0_41
| ~ spl0_146
| ~ spl0_168
| ~ spl0_329
| ~ spl0_373 ),
inference(sat_conversion,[],[f29999]) ).
cnf(s2485,plain,
( spl0_3
| ~ spl0_123
| spl0_514 ),
inference(sat_conversion,[],[f30137]) ).
cnf(s2487,plain,
( ~ spl0_123
| spl0_397 ),
inference(sat_conversion,[],[f30141]) ).
cnf(s2488,plain,
( ~ spl0_12
| spl0_37
| ~ spl0_65 ),
inference(sat_conversion,[],[f30142]) ).
cnf(s2490,plain,
( spl0_18
| ~ spl0_455
| spl0_480 ),
inference(sat_conversion,[],[f30150]) ).
cnf(s2496,plain,
( ~ spl0_157
| ~ spl0_238
| ~ spl0_460 ),
inference(sat_conversion,[],[f30220]) ).
cnf(s2497,plain,
( spl0_41
| spl0_150
| spl0_175
| spl0_180 ),
inference(sat_conversion,[],[f30221]) ).
cnf(s2498,plain,
( ~ spl0_395
| ~ spl0_425 ),
inference(sat_conversion,[],[f30224]) ).
cnf(s2512,plain,
( ~ spl0_324
| spl0_344
| spl0_353
| spl0_355 ),
inference(sat_conversion,[],[f30488]) ).
cnf(s2515,plain,
( ~ spl0_203
| ~ spl0_326
| ~ spl0_363 ),
inference(sat_conversion,[],[f30519]) ).
cnf(s2517,plain,
( ~ spl0_326
| spl0_344
| spl0_347
| spl0_365 ),
inference(sat_conversion,[],[f30521]) ).
cnf(s2519,plain,
( spl0_285
| ~ spl0_326
| spl0_344
| spl0_426 ),
inference(sat_conversion,[],[f30525]) ).
cnf(s2520,plain,
( ~ spl0_21
| ~ spl0_397
| ~ spl0_408 ),
inference(sat_conversion,[],[f30541]) ).
cnf(s2521,plain,
( ~ spl0_324
| spl0_344
| spl0_397
| spl0_417 ),
inference(sat_conversion,[],[f30542]) ).
cnf(s2523,plain,
( ~ spl0_146
| ~ spl0_324
| ~ spl0_351
| spl0_397 ),
inference(sat_conversion,[],[f30544]) ).
cnf(s2524,plain,
( ~ spl0_146
| spl0_277
| ~ spl0_326
| ~ spl0_359 ),
inference(sat_conversion,[],[f30545]) ).
cnf(s2525,plain,
( spl0_277
| ~ spl0_326
| spl0_344
| spl0_463 ),
inference(sat_conversion,[],[f30546]) ).
cnf(s2528,plain,
( ~ spl0_173
| ~ spl0_333
| spl0_429 ),
inference(sat_conversion,[],[f30588]) ).
cnf(s2529,plain,
( ~ spl0_26
| ~ spl0_53
| ~ spl0_395
| ~ spl0_441 ),
inference(sat_conversion,[],[f30632]) ).
cnf(s2530,plain,
( ~ spl0_53
| ~ spl0_441
| spl0_472 ),
inference(sat_conversion,[],[f30633]) ).
cnf(s2531,plain,
( ~ spl0_325
| ~ spl0_407
| ~ spl0_419 ),
inference(sat_conversion,[],[f30651]) ).
cnf(s2534,plain,
( spl0_44
| ~ spl0_52
| ~ spl0_58 ),
inference(sat_conversion,[],[f30796]) ).
cnf(s2535,plain,
( ~ spl0_153
| spl0_187
| ~ spl0_328
| ~ spl0_415 ),
inference(sat_conversion,[],[f30812]) ).
cnf(s2542,plain,
( ~ spl0_265
| ~ spl0_326
| spl0_347
| ~ spl0_348 ),
inference(sat_conversion,[],[f30924]) ).
cnf(s2543,plain,
( ~ spl0_326
| spl0_372
| ~ spl0_434
| ~ spl0_438 ),
inference(sat_conversion,[],[f30955]) ).
cnf(s2546,plain,
( spl0_347
| spl0_434 ),
inference(sat_conversion,[],[f30966]) ).
cnf(s2552,plain,
( ~ spl0_5
| spl0_285
| ~ spl0_326
| ~ spl0_363
| spl0_417 ),
inference(sat_conversion,[],[f31035]) ).
cnf(s2555,plain,
( ~ spl0_98
| spl0_277
| ~ spl0_325
| ~ spl0_395 ),
inference(sat_conversion,[],[f31039]) ).
cnf(s2556,plain,
( ~ spl0_325
| spl0_342
| spl0_343 ),
inference(sat_conversion,[],[f31040]) ).
cnf(s2559,plain,
( ~ spl0_58
| spl0_418
| ~ spl0_441 ),
inference(sat_conversion,[],[f31043]) ).
cnf(s2561,plain,
( ~ spl0_30
| spl0_155
| ~ spl0_180 ),
inference(sat_conversion,[],[f31045]) ).
cnf(s2564,plain,
( ~ spl0_53
| spl0_150
| ~ spl0_180 ),
inference(sat_conversion,[],[f31049]) ).
cnf(s2568,plain,
( ~ spl0_275
| ~ spl0_325
| ~ spl0_367 ),
inference(sat_conversion,[],[f31054]) ).
cnf(s2574,plain,
( ~ spl0_5
| ~ spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f31061]) ).
cnf(s2576,plain,
( ~ spl0_39
| ~ spl0_64
| ~ spl0_356 ),
inference(sat_conversion,[],[f31063]) ).
cnf(s2577,plain,
( ~ spl0_53
| spl0_65
| ~ spl0_427
| spl0_481 ),
inference(sat_conversion,[],[f31064]) ).
cnf(s2579,plain,
( spl0_3
| ~ spl0_41
| spl0_460 ),
inference(sat_conversion,[],[f31070]) ).
cnf(s2585,plain,
( spl0_27
| ~ spl0_155
| spl0_164 ),
inference(sat_conversion,[],[f31134]) ).
cnf(s2586,plain,
( ~ spl0_39
| ~ spl0_48
| ~ spl0_356 ),
inference(sat_conversion,[],[f31148]) ).
cnf(s2592,plain,
( ~ spl0_238
| ~ spl0_347
| ~ spl0_514 ),
inference(sat_conversion,[],[f31247]) ).
cnf(s2593,plain,
( ~ spl0_98
| ~ spl0_155
| spl0_277
| ~ spl0_347 ),
inference(sat_conversion,[],[f31249]) ).
cnf(s2594,plain,
( ~ spl0_35
| ~ spl0_155
| ~ spl0_347
| spl0_407 ),
inference(sat_conversion,[],[f31250]) ).
cnf(s2595,plain,
( spl0_37
| ~ spl0_171
| spl0_231 ),
inference(sat_conversion,[],[f31251]) ).
cnf(s2596,plain,
( ~ spl0_17
| spl0_293 ),
inference(sat_conversion,[],[f31253]) ).
cnf(s2597,plain,
( spl0_82
| spl0_150
| spl0_157 ),
inference(sat_conversion,[],[f31276]) ).
cnf(s2600,plain,
( spl0_39
| spl0_150
| spl0_175
| spl0_181 ),
inference(sat_conversion,[],[f31294]) ).
cnf(s2601,plain,
( ~ spl0_39
| ~ spl0_98
| ~ spl0_197
| spl0_277 ),
inference(sat_conversion,[],[f31295]) ).
cnf(s2606,plain,
( spl0_18
| ~ spl0_196
| spl0_384 ),
inference(sat_conversion,[],[f31349]) ).
cnf(s2611,plain,
( ~ spl0_180
| ~ spl0_284
| ~ spl0_371 ),
inference(sat_conversion,[],[f31381]) ).
cnf(s2614,plain,
( ~ spl0_12
| ~ spl0_206
| spl0_407 ),
inference(sat_conversion,[],[f31406]) ).
cnf(s2616,plain,
( ~ spl0_146
| spl0_238
| ~ spl0_351
| ~ spl0_434 ),
inference(sat_conversion,[],[f31408]) ).
cnf(s2618,plain,
( ~ spl0_84
| spl0_150
| ~ spl0_173 ),
inference(sat_conversion,[],[f31410]) ).
cnf(s2619,plain,
( spl0_104
| ~ spl0_171
| spl0_175
| spl0_238 ),
inference(sat_conversion,[],[f31411]) ).
cnf(s2621,plain,
( ~ spl0_146
| spl0_277
| ~ spl0_284
| ~ spl0_291 ),
inference(sat_conversion,[],[f31414]) ).
cnf(s2622,plain,
( ~ spl0_5
| ~ spl0_68
| spl0_155
| ~ spl0_171
| spl0_180 ),
inference(sat_conversion,[],[f31415]) ).
cnf(s2623,plain,
( spl0_69
| spl0_155
| ~ spl0_171
| spl0_175 ),
inference(sat_conversion,[],[f31416]) ).
cnf(s2625,plain,
( ~ spl0_277
| ~ spl0_349
| ~ spl0_460 ),
inference(sat_conversion,[],[f31418]) ).
cnf(s2626,plain,
( ~ spl0_5
| spl0_39
| spl0_104
| spl0_150
| ~ spl0_153 ),
inference(sat_conversion,[],[f31419]) ).
cnf(s2627,plain,
( spl0_43
| spl0_150
| spl0_305 ),
inference(sat_conversion,[],[f31420]) ).
cnf(s2637,plain,
( spl0_279
| spl0_337
| spl0_407 ),
inference(sat_conversion,[],[f31475]) ).
cnf(s2648,plain,
( spl0_332
| ~ spl0_336
| spl0_339 ),
inference(sat_conversion,[],[f31548]) ).
cnf(s2649,plain,
( spl0_167
| ~ spl0_347
| spl0_379 ),
inference(sat_conversion,[],[f31553]) ).
cnf(s2654,plain,
( ~ spl0_37
| ~ spl0_395
| ~ spl0_412 ),
inference(sat_conversion,[],[f31574]) ).
cnf(s2655,plain,
( ~ spl0_30
| ~ spl0_187
| spl0_477 ),
inference(sat_conversion,[],[f31613]) ).
cnf(s2657,plain,
( spl0_357
| ~ spl0_470
| spl0_471 ),
inference(sat_conversion,[],[f31629]) ).
cnf(s2658,plain,
( ~ spl0_17
| spl0_78
| spl0_82 ),
inference(sat_conversion,[],[f31649]) ).
cnf(s2660,plain,
( spl0_157
| ~ spl0_328
| spl0_427 ),
inference(sat_conversion,[],[f31705]) ).
cnf(s2664,plain,
( ~ spl0_5
| ~ spl0_153
| ~ spl0_328
| spl0_394
| spl0_513 ),
inference(sat_conversion,[],[f31712]) ).
cnf(s2677,plain,
( ~ spl0_269
| ~ spl0_347
| ~ spl0_407 ),
inference(sat_conversion,[],[f31818]) ).
cnf(s2678,plain,
( spl0_150
| ~ spl0_434
| spl0_437 ),
inference(sat_conversion,[],[f31819]) ).
cnf(s2683,plain,
( ~ spl0_5
| spl0_155
| spl0_180
| ~ spl0_202
| ~ spl0_434 ),
inference(sat_conversion,[],[f31825]) ).
cnf(s2689,plain,
( ~ spl0_39
| ~ spl0_98
| ~ spl0_150
| spl0_238 ),
inference(sat_conversion,[],[f31842]) ).
cnf(s2694,plain,
( spl0_6
| ~ spl0_366 ),
inference(sat_conversion,[],[f31871]) ).
cnf(s2697,plain,
( spl0_41
| spl0_59
| ~ spl0_366 ),
inference(sat_conversion,[],[f31881]) ).
cnf(s2698,plain,
( spl0_167
| ~ spl0_477
| spl0_478 ),
inference(sat_conversion,[],[f31882]) ).
cnf(s2699,plain,
( spl0_27
| ~ spl0_39
| spl0_61 ),
inference(sat_conversion,[],[f31891]) ).
cnf(s2700,plain,
( spl0_3
| ~ spl0_238
| spl0_482 ),
inference(sat_conversion,[],[f31898]) ).
cnf(s2701,plain,
( spl0_167
| spl0_269
| ~ spl0_305 ),
inference(sat_conversion,[],[f31911]) ).
cnf(s2706,plain,
( spl0_3
| ~ spl0_277
| spl0_461 ),
inference(sat_conversion,[],[f31924]) ).
cnf(s2707,plain,
( ~ spl0_157
| spl0_166
| spl0_167 ),
inference(sat_conversion,[],[f31933]) ).
cnf(s2708,plain,
( spl0_18
| ~ spl0_150
| spl0_168 ),
inference(sat_conversion,[],[f31940]) ).
cnf(s2711,plain,
( spl0_202
| spl0_285
| spl0_337 ),
inference(sat_conversion,[],[f31960]) ).
cnf(s2713,plain,
( spl0_27
| ~ spl0_285
| spl0_410 ),
inference(sat_conversion,[],[f31969]) ).
cnf(s2714,plain,
( spl0_332
| ~ spl0_481
| spl0_483 ),
inference(sat_conversion,[],[f31972]) ).
cnf(s2715,plain,
( spl0_357
| ~ spl0_407
| spl0_413 ),
inference(sat_conversion,[],[f31977]) ).
cnf(s2716,plain,
( spl0_18
| ~ spl0_197
| spl0_275 ),
inference(sat_conversion,[],[f31984]) ).
cnf(s2718,plain,
( ~ spl0_349
| spl0_356
| spl0_357 ),
inference(sat_conversion,[],[f32000]) ).
cnf(s2719,plain,
( spl0_41
| ~ spl0_98
| ~ spl0_285
| ~ spl0_349 ),
inference(sat_conversion,[],[f32003]) ).
cnf(s2720,plain,
( spl0_332
| ~ spl0_429
| spl0_430 ),
inference(sat_conversion,[],[f32006]) ).
cnf(s2721,plain,
( spl0_342
| ~ spl0_472
| spl0_474 ),
inference(sat_conversion,[],[f32015]) ).
cnf(s2722,plain,
( spl0_178
| spl0_208
| ~ spl0_294
| spl0_347 ),
inference(sat_conversion,[],[f32035]) ).
cnf(s2731,plain,
( spl0_27
| ~ spl0_395
| spl0_408 ),
inference(sat_conversion,[],[f32102]) ).
cnf(s2732,plain,
( spl0_342
| ~ spl0_418
| spl0_419 ),
inference(sat_conversion,[],[f32105]) ).
cnf(s2735,plain,
( spl0_155
| spl0_207
| ~ spl0_434
| spl0_436 ),
inference(sat_conversion,[],[f32127]) ).
cnf(s2737,plain,
( spl0_185
| ~ spl0_328
| spl0_333
| spl0_334 ),
inference(sat_conversion,[],[f32182]) ).
cnf(s2738,plain,
( spl0_180
| ~ spl0_328
| spl0_333
| spl0_400 ),
inference(sat_conversion,[],[f32183]) ).
cnf(s2739,plain,
( spl0_196
| ~ spl0_328
| spl0_380 ),
inference(sat_conversion,[],[f32184]) ).
cnf(s2741,plain,
( ~ spl0_61
| ~ spl0_354
| ~ spl0_395 ),
inference(sat_conversion,[],[f32194]) ).
cnf(s2742,plain,
( spl0_41
| ~ spl0_98
| ~ spl0_354
| ~ spl0_395 ),
inference(sat_conversion,[],[f32196]) ).
cnf(s2745,plain,
( spl0_3
| ~ spl0_397
| spl0_453 ),
inference(sat_conversion,[],[f32204]) ).
cnf(s2746,plain,
( spl0_18
| ~ spl0_367
| spl0_412 ),
inference(sat_conversion,[],[f32211]) ).
cnf(s2749,plain,
( spl0_354
| spl0_511 ),
inference(sat_conversion,[],[f32226]) ).
cnf(s2750,plain,
( ~ spl0_39
| ~ spl0_166
| ~ spl0_305 ),
inference(sat_conversion,[],[f32236]) ).
cnf(s2751,plain,
( spl0_69
| spl0_208
| spl0_285
| ~ spl0_294 ),
inference(sat_conversion,[],[f32237]) ).
cnf(s2753,plain,
( spl0_37
| ~ spl0_294
| spl0_431 ),
inference(sat_conversion,[],[f32239]) ).
cnf(s2754,plain,
( spl0_231
| spl0_407
| ~ spl0_434 ),
inference(sat_conversion,[],[f32240]) ).
cnf(s2755,plain,
( spl0_197
| ~ spl0_294
| spl0_502 ),
inference(sat_conversion,[],[f32241]) ).
cnf(s2756,plain,
( spl0_238
| spl0_417
| ~ spl0_434
| spl0_436 ),
inference(sat_conversion,[],[f32242]) ).
cnf(s2757,plain,
( spl0_3
| ~ spl0_6
| spl0_23 ),
inference(sat_conversion,[],[f32245]) ).
cnf(s2758,plain,
( ~ spl0_21
| spl0_26
| spl0_27 ),
inference(sat_conversion,[],[f32250]) ).
cnf(s2759,plain,
( spl0_18
| ~ spl0_37
| spl0_60 ),
inference(sat_conversion,[],[f32262]) ).
cnf(s2760,plain,
( spl0_3
| ~ spl0_400
| spl0_452 ),
inference(sat_conversion,[],[f32279]) ).
cnf(s2763,plain,
( spl0_43
| ~ spl0_293
| spl0_407 ),
inference(sat_conversion,[],[f32348]) ).
cnf(s2764,plain,
( spl0_82
| ~ spl0_293
| spl0_349 ),
inference(sat_conversion,[],[f32349]) ).
cnf(s2766,plain,
( spl0_41
| spl0_208
| ~ spl0_293
| spl0_417 ),
inference(sat_conversion,[],[f32352]) ).
cnf(s2767,plain,
( ~ spl0_329
| spl0_331
| spl0_332 ),
inference(sat_conversion,[],[f32363]) ).
cnf(s2768,plain,
( spl0_342
| ~ spl0_354
| spl0_376 ),
inference(sat_conversion,[],[f32368]) ).
cnf(s2769,plain,
( spl0_82
| ~ spl0_168
| ~ spl0_329
| spl0_336 ),
inference(sat_conversion,[],[f32400]) ).
cnf(s2773,plain,
( ~ spl0_241
| spl0_334
| ~ spl0_513 ),
inference(sat_conversion,[],[f32444]) ).
cnf(s2779,plain,
( ~ spl0_146
| spl0_238
| ~ spl0_348
| ~ spl0_359 ),
inference(sat_conversion,[],[f32472]) ).
cnf(s2780,plain,
( spl0_155
| ~ spl0_348
| spl0_426
| spl0_432 ),
inference(sat_conversion,[],[f32473]) ).
cnf(s2788,plain,
( ~ spl0_27
| ~ spl0_69
| ~ spl0_166
| ~ spl0_334 ),
inference(rat,[],[s915,s1179]) ).
cnf(s2789,plain,
( ~ spl0_324
| spl0_354
| ~ spl0_372 ),
inference(rat,[],[s886,s1179]) ).
cnf(s2830,plain,
( spl0_157
| spl0_171 ),
inference(rat,[],[s226,s292]) ).
cnf(s2832,plain,
( spl0_150
| spl0_152 ),
inference(rat,[],[s221,s292]) ).
cnf(s2834,plain,
( spl0_153
| spl0_155 ),
inference(rat,[],[s215,s858]) ).
cnf(s2843,plain,
( spl0_150
| spl0_82
| spl0_43
| ~ spl0_39
| spl0_167 ),
inference(rat,[],[s2707,s2750,s2597,s2627]) ).
cnf(s2845,plain,
( ~ spl0_328
| spl0_187
| ~ spl0_153
| ~ spl0_150
| ~ spl0_60 ),
inference(rat,[],[s2535,s2101]) ).
cnf(s2846,plain,
( ~ spl0_329
| ~ spl0_482
| ~ spl0_168
| spl0_41
| ~ spl0_146 ),
inference(rat,[],[s1031,s2469,s1977]) ).
cnf(s2848,plain,
( ~ spl0_329
| ~ spl0_157
| ~ spl0_168
| spl0_82
| spl0_41
| ~ spl0_146 ),
inference(rat,[],[s1392,s2648,s1031,s900,s2769,s2469]) ).
cnf(s2855,plain,
( ~ spl0_329
| spl0_82
| ~ spl0_168
| spl0_41
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1269,s2830,s2700,s2848,s2846,s1233]) ).
cnf(s2856,plain,
( ~ spl0_328
| ~ spl0_153
| spl0_180
| ~ spl0_150
| ~ spl0_60
| ~ spl0_30
| ~ spl0_32
| spl0_29
| ~ spl0_6
| spl0_3 ),
inference(rat,[],[s2528,s2720,s2738,s2370,s2760,s1978,s1784,s2331,s2101,s2219,s1315,s1254,s858]) ).
cnf(s2858,plain,
( ~ spl0_407
| ~ spl0_82
| ~ spl0_53
| ~ spl0_60
| ~ spl0_23 ),
inference(rat,[],[s1946,s2203,s1430,s2017,s858]) ).
cnf(s2860,plain,
( ~ spl0_324
| ~ spl0_202
| ~ spl0_293
| ~ spl0_52
| ~ spl0_37
| spl0_18
| ~ spl0_32 ),
inference(rat,[],[s2654,s2746,s2217,s1721]) ).
cnf(s2861,plain,
( ~ spl0_150
| ~ spl0_37
| ~ spl0_30
| spl0_18
| ~ spl0_32
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2389,s874,s2749,s1669,s1412,s2369,s2367,s2779,s2310,s1024,s1641,s951,s2860,s2711,s2001,s2706,s1946,s2446,s2755,s1447,s1426,s2649,s2546,s2754,s2858,s2381,s1814,s2714,s2707,s1714,s2830,s2463,s1269,s1392,s2454,s2700,s1031,s2855,s2846,s2469,s865,s2856,s2834,s2561,s1282,s2708,s1233,s1120,s2697,s97,s1594,s1936,s2759,s39,s2058,s2757,s858,s397,s1165,s1071]) ).
cnf(s2863,plain,
( spl0_347
| ~ spl0_187
| ~ spl0_82
| spl0_150
| ~ spl0_37
| spl0_18 ),
inference(rat,[],[s1210,s2716,s2711,s1937,s2335,s2303,s2546,s1071,s1048]) ).
cnf(s2864,plain,
( ~ spl0_157
| ~ spl0_82
| ~ spl0_61
| ~ spl0_477
| spl0_150
| ~ spl0_43
| spl0_167
| ~ spl0_66
| ~ spl0_37
| spl0_18
| ~ spl0_146 ),
inference(rat,[],[s2446,s1959,s1426,s2649,s2863,s2060,s2834,s705,s2707]) ).
cnf(s2865,plain,
( ~ spl0_325
| spl0_434
| ~ spl0_275
| spl0_294
| spl0_407
| ~ spl0_175
| ~ spl0_477
| spl0_167
| ~ spl0_66
| ~ spl0_22 ),
inference(rat,[],[s2397,s874,s1024,s1638,s1669,s1876,s2768,s2369,s2175,s2367,s2106,s1932,s2568,s1469,s858,s397,s1165,s1179]) ).
cnf(s2870,plain,
( ~ spl0_187
| ~ spl0_82
| ~ spl0_68
| ~ spl0_477
| spl0_150
| spl0_167
| ~ spl0_66
| ~ spl0_37
| spl0_18
| ~ spl0_146 ),
inference(rat,[],[s2446,s1426,s1959,s2707,s2649,s1790,s2863]) ).
cnf(s2871,plain,
( ~ spl0_327
| ~ spl0_277
| ~ spl0_197
| ~ spl0_298
| spl0_3 ),
inference(rat,[],[s2745,s1752,s1655]) ).
cnf(s2872,plain,
( ~ spl0_82
| ~ spl0_68
| ~ spl0_477
| spl0_150
| ~ spl0_43
| ~ spl0_298
| ~ spl0_37
| ~ spl0_22
| spl0_18
| ~ spl0_32
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1403,s2367,s2731,s2294,s1011,s2543,s2220,s874,s2871,s1208,s1210,s2716,s1017,s1937,s2616,s2303,s2546,s1426,s2707,s2399,s2830,s2274,s1269,s1021,s2700,s2002,s2834,s2060,s2870,s2858,s63,s1233,s1120,s2697,s2058,s2757,s1594,s1936,s2759,s1165,s858,s1048,s397]) ).
cnf(s2877,plain,
( ~ spl0_82
| ~ spl0_298
| spl0_150
| ~ spl0_37
| ~ spl0_22
| spl0_18
| ~ spl0_32
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2298,s2745,s2217,s2523,s951,s2865,s2335,s2711,s1210,s2716,s1937,s2203,s2446,s1017,s1959,s2649,s2863,s2060,s2834,s2002,s2700,s1269,s2830,s2864,s2699,s1008,s2872,s2858,s63,s1233,s2627,s2701,s1998,s2450,s2497,s2564,s1594,s1936,s2759,s1120,s2697,s2058,s2757,s858,s1071,s1048,s397]) ).
cnf(s2878,plain,
( ~ spl0_326
| ~ spl0_279
| spl0_391
| spl0_347
| ~ spl0_208
| ~ spl0_60 ),
inference(rat,[],[s2224,s2517,s1929,s975,s2196]) ).
cnf(s2879,plain,
( ~ spl0_293
| spl0_82
| spl0_150
| ~ spl0_37
| spl0_18
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1631,s2060,s1011,s2834,s2654,s2002,s2746,s2700,s1929,s2779,s2106,s2367,s1024,s1900,s2427,s2424,s874,s2878,s1294,s1833,s2715,s2657,s1423,s2113,s2186,s2048,s2764,s2766,s1220,s2239,s2832,s2627,s2701,s1998,s2450,s2497,s2564,s1594,s1936,s2759,s2707,s2597,s1120,s2697,s2058,s2757,s1165,s397,s858]) ).
cnf(s2880,plain,
( ~ spl0_37
| spl0_21
| spl0_18
| ~ spl0_32
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1403,s2367,s2731,s2294,s1011,s2543,s2220,s874,s2871,s1208,s1017,s1008,s2616,s2699,s2700,s705,s2002,s2834,s2060,s2335,s2546,s2711,s2649,s1210,s1447,s2716,s1937,s2879,s2597,s2877,s2627,s2701,s1998,s2450,s2497,s2564,s1594,s625,s1120,s1936,s1238,s2697,s2861,s2759,s2058,s474,s2757,s63,s29,s13,s1165,s858,s1071,s1048,s397]) ).
cnf(s2881,plain,
( spl0_277
| ~ spl0_166
| spl0_238
| ~ spl0_66
| ~ spl0_146 ),
inference(rat,[],[s2546,s1426,s2616,s2446,s1017]) ).
cnf(s2882,plain,
( ~ spl0_82
| ~ spl0_168
| spl0_41
| spl0_506
| ~ spl0_58
| spl0_18
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1946,s2202,s2716,s2001,s1479,s2706,s2881,s2707,s2830,s1269,s2344,s2454,s1233,s1120,s2697,s858,s397]) ).
cnf(s2883,plain,
( ~ spl0_171
| ~ spl0_66
| ~ spl0_58
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2623,s728,s2126,s1315,s2002,s2351,s2700,s1269,s2757,s858]) ).
cnf(s2884,plain,
( ~ spl0_277
| ~ spl0_293
| spl0_41
| ~ spl0_58
| ~ spl0_30
| ~ spl0_6
| spl0_3 ),
inference(rat,[],[s2766,s2402,s2317,s2001,s2017,s2706,s2757]) ).
cnf(s2885,plain,
( ~ spl0_238
| ~ spl0_333
| ~ spl0_328
| ~ spl0_30
| ~ spl0_32
| spl0_29
| ~ spl0_6
| spl0_3 ),
inference(rat,[],[s2720,s1784,s2370,s2219,s1978,s2528,s2834,s2337,s1315,s2002,s2351,s2700,s2757,s858]) ).
cnf(s2886,plain,
( spl0_238
| ~ spl0_298
| spl0_41
| ~ spl0_58
| ~ spl0_22
| ~ spl0_30
| ~ spl0_32
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1412,s2367,s1638,s2779,s2397,s1024,s2745,s2298,s1011,s2220,s874,s2871,s1937,s2001,s2884,s2017,s2706,s2881,s2757,s2707,s2830,s2883,s1233,s1120,s2697,s1165,s858,s1048,s397]) ).
cnf(s2887,plain,
( spl0_41
| spl0_21
| spl0_18
| ~ spl0_32
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2737,s1749,s2885,s161,s865,s101,s2846,s2882,s2708,s2497,s261,s2561,s2126,s2002,s2351,s2700,s2886,s2707,s2830,s2883,s625,s1120,s1233,s1238,s2697,s474,s2757,s13,s68,s2131,s2880,s29,s858,s397]) ).
cnf(s2888,plain,
( ~ spl0_327
| spl0_284
| ~ spl0_413
| spl0_357
| spl0_231 ),
inference(rat,[],[s2367,s1900,s1435,s2424,s1165,s397]) ).
cnf(s2889,plain,
( ~ spl0_293
| ~ spl0_157
| spl0_231
| ~ spl0_84
| ~ spl0_82
| spl0_238
| spl0_167
| ~ spl0_460
| ~ spl0_58
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2120,s2749,s1024,s2389,s2309,s2524,s874,s2888,s2755,s1447,s1426,s2649,s2546,s2616,s2621,s1017,s2715,s2706,s2637,s2001,s1094,s1532,s2202,s1021,s2707,s858,s1071]) ).
cnf(s2890,plain,
( ~ spl0_82
| spl0_238
| ~ spl0_150
| spl0_167
| ~ spl0_460
| spl0_37
| ~ spl0_30
| spl0_18
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2616,s2546,s1017,s2649,s1479,s1447,s2716,s1937,s2889,s2830,s2595,s2381,s1769,s2490,s2132,s2454,s68,s2131,s1048]) ).
cnf(s2891,plain,
( ~ spl0_293
| spl0_82
| spl0_238
| ~ spl0_150
| spl0_167
| ~ spl0_99
| spl0_39
| ~ spl0_460
| ~ spl0_58
| ~ spl0_32
| spl0_27
| ~ spl0_146 ),
inference(rat,[],[s2623,s728,s2126,s1315,s2830,s2701,s2707,s1424,s2386,s1423,s2546,s2616,s2713,s1017,s2711,s2625,s2222,s2764,s858,s1071]) ).
cnf(s2892,plain,
( ~ spl0_150
| spl0_167
| ~ spl0_41
| spl0_37
| ~ spl0_30
| spl0_18
| ~ spl0_32
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1259,s1586,s1257,s2490,s1569,s1769,s2381,s2595,s2830,s1447,s2649,s2546,s2616,s1017,s2706,s2169,s1937,s2891,s2890,s2700,s1770,s63,s104,s1008,s148,s2534,s99,s38,s2142,s2579,s68,s1048]) ).
cnf(s2893,plain,
( ~ spl0_197
| ~ spl0_157
| ~ spl0_455
| spl0_238
| spl0_167
| spl0_18
| ~ spl0_146 ),
inference(rat,[],[s2616,s2546,s1017,s2649,s1479,s1447,s2716]) ).
cnf(s2894,plain,
( spl0_167
| ~ spl0_41
| spl0_37
| ~ spl0_30
| spl0_18
| ~ spl0_32
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2060,s2834,s2763,s1424,s2677,s2546,s2616,s1017,s2706,s2001,s2713,s2711,s2222,s1946,s2893,s2830,s1594,s2595,s2450,s2381,s2655,s1998,s2351,s2701,s2126,s2600,s301,s2892,s2757,s63,s68,s2142,s2579,s1071,s858]) ).
cnf(s2895,plain,
( ~ spl0_285
| ~ spl0_359
| ~ spl0_78
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s874,s2524,s978,s2706,s1125,s2001,s858]) ).
cnf(s2896,plain,
( spl0_21
| spl0_18
| ~ spl0_32
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s874,s2524,s978,s2706,s1007,s2169,s1937,s2222,s2711,s2895,s1024,s2145,s1259,s2312,s2834,s228,s918,s2894,s1008,s2142,s2579,s2887,s104,s2880,s29,s474,s858,s1048,s1071]) ).
cnf(s2897,plain,
( spl0_238
| spl0_397
| spl0_474
| spl0_167
| ~ spl0_53
| ~ spl0_66
| ~ spl0_146 ),
inference(rat,[],[s1683,s1660,s2530,s1679,s2721,s2707,s2175,s2367,s2830,s2779,s1269,s1024,s1165]) ).
cnf(s2898,plain,
( ~ spl0_461
| spl0_474
| ~ spl0_325
| ~ spl0_202
| ~ spl0_153
| ~ spl0_168
| ~ spl0_150
| ~ spl0_53
| ~ spl0_60
| spl0_41
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2845,s2335,s865,s2546,s2846,s1811,s2700,s2897,s1641,s1233,s1120,s2697,s858,s397]) ).
cnf(s2899,plain,
( ~ spl0_293
| ~ spl0_150
| ~ spl0_53
| spl0_41
| ~ spl0_37
| ~ spl0_26
| spl0_18
| ~ spl0_32
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2707,s1423,s2660,s2546,s2577,s2335,s2094,s2845,s2219,s865,s2855,s2073,s2273,s2203,s2446,s1017,s2706,s2898,s1677,s951,s2860,s2711,s1566,s2048,s2766,s1220,s2759,s1233,s1120,s2697,s97,s39,s2834,s1282,s2708,s858,s1071,s397]) ).
cnf(s2900,plain,
( spl0_238
| ~ spl0_354
| ~ spl0_359
| spl0_41
| ~ spl0_146 ),
inference(rat,[],[s1412,s2707,s2367,s2830,s2779,s1269,s1233,s1120,s2697,s1165,s397]) ).
cnf(s2901,plain,
( ~ spl0_277
| spl0_285
| ~ spl0_197
| ~ spl0_153
| ~ spl0_168
| ~ spl0_150
| ~ spl0_298
| ~ spl0_53
| ~ spl0_60
| spl0_41
| ~ spl0_21
| ~ spl0_32
| spl0_27
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2845,s2335,s865,s2546,s2846,s1811,s2700,s2900,s1262,s1024,s1908,s2520,s1932,s2529,s2731,s2224,s1011,s2519,s2220,s1293,s874,s2871,s2706,s2758,s1294,s1430,s2711,s858,s1179,s1071]) ).
cnf(s2902,plain,
( spl0_238
| spl0_277
| spl0_41
| ~ spl0_146 ),
inference(rat,[],[s2707,s2830,s2881,s1269,s1233,s1120,s2697,s397]) ).
cnf(s2903,plain,
( ~ spl0_150
| ~ spl0_298
| ~ spl0_37
| ~ spl0_21
| spl0_18
| ~ spl0_32
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2118,s826,s2720,s2830,s2528,s1447,s2737,s2649,s1746,s2546,s2760,s2335,s1784,s2331,s2845,s2219,s865,s2846,s2700,s2902,s2901,s2711,s1210,s2716,s1937,s2899,s2834,s261,s1315,s1282,s1254,s2708,s2758,s63,s2759,s1594,s2490,s2066,s1120,s2697,s2058,s2757,s858,s1071,s1048,s397]) ).
cnf(s2904,plain,
( ~ spl0_277
| ~ spl0_187
| ~ spl0_477
| spl0_167
| ~ spl0_6
| spl0_3 ),
inference(rat,[],[s2335,s2546,s2711,s2649,s2001,s1959,s2706,s1071]) ).
cnf(s2905,plain,
( ~ spl0_293
| spl0_277
| spl0_150
| ~ spl0_53
| ~ spl0_37
| spl0_18
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2203,s2879]) ).
cnf(s2907,plain,
( spl0_397
| ~ spl0_197
| spl0_277
| ~ spl0_298
| ~ spl0_146 ),
inference(rat,[],[s874,s2524,s1752,s1024,s858]) ).
cnf(s2908,plain,
( ~ spl0_37
| ~ spl0_21
| spl0_18
| ~ spl0_32
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1631,s2367,s1011,s1893,s2298,s2745,s2907,s1937,s2905,s2902,s2904,s2060,s2627,s2834,s2701,s1961,s1998,s2450,s2497,s2564,s2903,s625,s1120,s1594,s1238,s2697,s2490,s2058,s2066,s474,s2757,s2758,s63,s1165,s1048,s397]) ).
cnf(s2909,plain,
( ~ spl0_293
| ~ spl0_202
| spl0_208
| spl0_41
| ~ spl0_26
| ~ spl0_32 ),
inference(rat,[],[s1592,s2043,s1220,s2222,s2766]) ).
cnf(s2910,plain,
( ~ spl0_353
| ~ spl0_369
| spl0_397
| spl0_441
| ~ spl0_166 ),
inference(rat,[],[s1660,s1683]) ).
cnf(s2911,plain,
( ~ spl0_277
| ~ spl0_298
| spl0_41
| ~ spl0_58
| ~ spl0_21
| spl0_18
| ~ spl0_32
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s669,s208,s1315,s2002,s2351,s2700,s2542,s2779,s2367,s2910,s1024,s1679,s2520,s2529,s2020,s2731,s1011,s2220,s1594,s2649,s874,s1479,s1447,s2871,s2716,s1937,s2909,s2711,s2317,s2001,s2017,s2706,s2757,s2758,s63,s2707,s2830,s2883,s1233,s1120,s2697,s858,s1165,s1048,s1071,s397]) ).
cnf(s2912,plain,
( ~ spl0_168
| ~ spl0_293
| ~ spl0_153
| ~ spl0_434
| spl0_305
| ~ spl0_482
| ~ spl0_238
| spl0_41
| ~ spl0_26
| ~ spl0_146 ),
inference(rat,[],[s2711,s1566,s2335,s2048,s2535,s2766,s2337,s1220,s865,s1594,s2846,s2344,s1071,s858]) ).
cnf(s2913,plain,
( spl0_150
| spl0_175
| spl0_41
| ~ spl0_58
| ~ spl0_26 ),
inference(rat,[],[s1592,s2564,s2043,s2497,s2600,s301]) ).
cnf(s2914,plain,
( spl0_41
| ~ spl0_21
| spl0_18
| ~ spl0_32
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1631,s2367,s1011,s1893,s2298,s2745,s2535,s2907,s2337,s1937,s865,s2912,s2846,s2708,s2913,s2834,s2126,s2002,s2546,s2351,s2700,s1426,s2902,s2446,s2911,s2707,s2830,s2883,s625,s1120,s1233,s1238,s2697,s474,s2757,s2758,s63,s68,s2908,s1165,s1048,s858,s397]) ).
cnf(s2915,plain,
( ~ spl0_359
| spl0_238
| spl0_167
| spl0_277
| ~ spl0_146 ),
inference(rat,[],[s2369,s1669,s2367,s874,s2779,s2524,s2616,s1017,s397,s1165,s858]) ).
cnf(s2916,plain,
( ~ spl0_327
| ~ spl0_413
| ~ spl0_173
| spl0_155
| spl0_284
| spl0_357 ),
inference(rat,[],[s2780,s2367,s1369,s1900,s2027,s2424,s1165,s397]) ).
cnf(s2917,plain,
( ~ spl0_150
| spl0_167
| spl0_277
| ~ spl0_293
| ~ spl0_99
| ~ spl0_41
| spl0_37
| ~ spl0_32
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1908,s1262,s874,s2916,s1932,s2559,s2125,s2184,s2120,s2745,s1024,s2915,s2715,s1315,s2637,s2701,s1532,s2386,s1424,s2132,s2546,s2621,s2891,s2616,s1021,s2700,s1770,s2757,s68,s1093,s2713,s2711,s2222,s2142,s2579,s63,s1017,s858,s1179,s1071]) ).
cnf(s2918,plain,
( spl0_167
| spl0_277
| ~ spl0_293
| ~ spl0_99
| ~ spl0_41
| spl0_37
| ~ spl0_32
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2312,s1259,s2834,s2145,s1424,s1024,s2546,s2915,s2616,s2351,s2126,s2600,s301,s2917,s2757,s104,s68,s1008,s2713,s2711,s2222,s2142,s2579,s63,s1017,s1071]) ).
cnf(s2919,plain,
( ~ spl0_293
| ~ spl0_99
| ~ spl0_41
| spl0_37
| ~ spl0_21
| ~ spl0_32
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1024,s2895,s2145,s1259,s2312,s2834,s228,s918,s2918,s2009,s2713,s2711,s2222,s63,s104,s1008,s2142,s2579,s1071]) ).
cnf(s2920,plain,
( ~ spl0_150
| spl0_167
| ~ spl0_197
| ~ spl0_99
| ~ spl0_41
| ~ spl0_58
| ~ spl0_26
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1961,s1610,s2623,s1826,s728,s2619,s2126,s1315,s2830,s2701,s1447,s2386,s2649,s2546,s2616,s2700,s1770,s1017,s2706,s2169,s858]) ).
cnf(s2921,plain,
( spl0_167
| ~ spl0_197
| ~ spl0_99
| ~ spl0_41
| ~ spl0_58
| ~ spl0_85
| ~ spl0_26
| ~ spl0_32
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s874,s2220,s1669,s2713,s2369,s1424,s2367,s2834,s2106,s2312,s1932,s1011,s1259,s2125,s2298,s2145,s2745,s1024,s2546,s2915,s2616,s2351,s2126,s2600,s301,s2920,s2757,s63,s1008,s2142,s2579,s1017,s2706,s2169,s858,s397,s1165,s1179]) ).
cnf(s2922,plain,
( spl0_18
| ~ spl0_32
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s874,s2524,s978,s1024,s1007,s2145,s1259,s2312,s2834,s228,s918,s2921,s2706,s2169,s1937,s2919,s148,s2534,s99,s38,s1008,s2142,s2579,s2914,s68,s104,s2908,s2758,s2896,s474,s63,s858,s1048]) ).
cnf(s2923,plain,
( ~ spl0_32
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2002,s2700,s1927,s1269,s1883,s1233,s1008,s2830,s464,s465,s1241,s2922,s474]) ).
cnf(s2924,plain,
( spl0_397
| spl0_434
| spl0_238
| spl0_41
| ~ spl0_146 ),
inference(rat,[],[s874,s1669,s2389,s2369,s2749,s2367,s2900,s2779,s2310,s1024,s2755,s1447,s2649,s1426,s2546,s2707,s2830,s1269,s1233,s1120,s2697,s858,s397,s1165]) ).
cnf(s2925,plain,
( ~ spl0_453
| ~ spl0_203
| ~ spl0_277
| ~ spl0_6 ),
inference(rat,[],[s2515,s874,s1011,s1655,s2298,s858]) ).
cnf(s2926,plain,
( ~ spl0_324
| spl0_397
| ~ spl0_52
| ~ spl0_60
| spl0_417
| ~ spl0_279
| ~ spl0_293 ),
inference(rat,[],[s2224,s2521,s1721]) ).
cnf(s2927,plain,
( ~ spl0_150
| spl0_474
| ~ spl0_325
| ~ spl0_53
| ~ spl0_202
| ~ spl0_37
| ~ spl0_461
| spl0_41
| spl0_18
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2898,s2834,s1282,s2708,s2759]) ).
cnf(s2928,plain,
( ~ spl0_277
| ~ spl0_293
| ~ spl0_30
| spl0_41
| spl0_18
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2303,s1811,s2879,s2897,s2927,s1677,s951,s2926,s2745,s2925,s2048,s97,s1594,s1936,s2766,s2229,s2759,s2402,s2711,s68,s2763,s1294,s2001,s2884,s2017,s2706,s2757,s1233,s39,s1120,s2697,s858,s1071,s397]) ).
cnf(s2929,plain,
( ~ spl0_37
| ~ spl0_68
| spl0_277
| ~ spl0_293
| spl0_41
| spl0_18
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1439,s2910,s2530,s1679,s2427,s1888,s2424,s874,s2878,s1294,s1834,s2657,s2715,s2718,s1093,s2335,s2546,s1426,s2707,s1790,s2845,s865,s1875,s2846,s2048,s2708,s2766,s2905,s1220,s1594,s1936,s2113,s2759,s1120,s2697,s2073,s2446,s1233,s2834,s1947,s2002,s2700,s2902,s858,s397]) ).
cnf(s2930,plain,
( ~ spl0_293
| spl0_21
| spl0_41
| spl0_18
| ~ spl0_16
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1093,s2335,s2715,s2177,s2535,s2317,s2048,s2337,s2240,s865,s1594,s1421,s2546,s2846,s2344,s1426,s2708,s2707,s2497,s2830,s2126,s2883,s68,s2929,s1008,s2561,s2834,s2699,s1315,s2002,s76,s2351,s2355,s2700,s2273,s2446,s2902,s1017,s2928,s2757,s63,s1233,s1120,s2697,s29,s13,s858,s397]) ).
cnf(s2931,plain,
( ~ spl0_150
| ~ spl0_477
| spl0_187
| ~ spl0_37
| spl0_455
| spl0_41
| spl0_18
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2714,s1714,s1392,s2463,s1031,s2454,s2469,s1814,s2855,s865,s2845,s2834,s1282,s2708,s2759,s858]) ).
cnf(s2932,plain,
( ~ spl0_157
| ~ spl0_37
| ~ spl0_326
| spl0_285
| spl0_455
| spl0_407
| ~ spl0_197
| ~ spl0_22
| ~ spl0_30
| spl0_41
| spl0_18
| spl0_29
| ~ spl0_23
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2397,s1024,s1638,s2184,s1412,s1418,s2367,s1728,s2106,s2678,s2497,s2564,s2931,s2381,s2335,s2754,s2546,s1315,s2649,s2701,s1447,s1368,s2707,s1233,s1120,s2697,s1594,s2711,s1932,s2224,s2759,s2519,s1293,s1294,s1165,s858,s1179,s1071,s397]) ).
cnf(s2933,plain,
( ~ spl0_37
| ~ spl0_326
| spl0_285
| spl0_455
| spl0_407
| ~ spl0_461
| ~ spl0_197
| ~ spl0_22
| ~ spl0_30
| spl0_41
| spl0_18
| spl0_29
| ~ spl0_23
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2931,s2678,s2381,s1728,s2335,s2754,s728,s2546,s1315,s1811,s2351,s1269,s2830,s2932,s1233,s2711,s858,s1071]) ).
cnf(s2934,plain,
( ~ spl0_397
| ~ spl0_277
| ~ spl0_6
| spl0_3 ),
inference(rat,[],[s2247,s1795,s951,s2925,s1641,s2745,s2017,s2757,s2711,s2001,s2706,s858,s1071]) ).
cnf(s2935,plain,
( ~ spl0_277
| ~ spl0_197
| ~ spl0_22
| ~ spl0_30
| ~ spl0_298
| spl0_41
| spl0_18
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s669,s208,s2542,s2002,s2367,s2700,s1412,s2900,s1638,s2397,s1024,s2934,s1315,s2701,s1998,s2381,s2754,s2546,s2649,s1447,s2707,s2830,s2883,s68,s2933,s874,s2001,s1479,s2871,s2017,s2706,s2757,s1233,s1120,s2697,s2716,s1165,s858,s397]) ).
cnf(s2936,plain,
( spl0_150
| spl0_187
| ~ spl0_153
| spl0_305 ),
inference(rat,[],[s2060,s2627]) ).
cnf(s2937,plain,
( spl0_21
| ~ spl0_298
| spl0_41
| spl0_18
| ~ spl0_16
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2535,s2337,s865,s2846,s2708,s2936,s1631,s2367,s1011,s2834,s1893,s2298,s2002,s2745,s2351,s2700,s2907,s2902,s2935,s1937,s2930,s13,s29,s2757,s858,s1165,s1048]) ).
cnf(s2938,plain,
( ~ spl0_37
| ~ spl0_293
| spl0_238
| ~ spl0_279
| spl0_397
| ~ spl0_21
| spl0_41
| spl0_18
| ~ spl0_146 ),
inference(rat,[],[s1677,s2048,s951,s2766,s2926,s2897,s1220,s97,s1594,s2490,s2759,s2066,s1233,s39,s1120,s2697,s858,s397]) ).
cnf(s2939,plain,
( ~ spl0_293
| spl0_238
| ~ spl0_202
| spl0_397
| spl0_407
| ~ spl0_26
| ~ spl0_21
| spl0_41
| spl0_18
| ~ spl0_146 ),
inference(rat,[],[s1592,s1220,s2043,s2766,s1008,s2317,s1259,s68,s104,s2938,s1538,s1294,s964,s2367,s2779,s1024,s2707,s2830,s1269,s1233,s1120,s2697,s397,s1165]) ).
cnf(s2940,plain,
( ~ spl0_441
| ~ spl0_53
| ~ spl0_326
| spl0_342
| ~ spl0_202
| spl0_407
| ~ spl0_277
| ~ spl0_26 ),
inference(rat,[],[s2247,s1795,s951,s2515,s2556,s1011,s1676,s2529,s2530,s858]) ).
cnf(s2941,plain,
( spl0_238
| spl0_285
| spl0_397
| spl0_407
| ~ spl0_277
| ~ spl0_26
| ~ spl0_21
| ~ spl0_298
| spl0_41
| spl0_18
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s811,s104,s2515,s951,s2759,s1011,s2568,s2224,s2020,s1929,s1679,s1908,s2910,s2940,s1262,s2519,s1293,s1594,s874,s2893,s2871,s2716,s1937,s2939,s2707,s2175,s2367,s2830,s2900,s2779,s1269,s1233,s1120,s2697,s1294,s1024,s2711,s858,s1048,s1165,s1071,s397]) ).
cnf(s2942,plain,
( ~ spl0_238
| ~ spl0_21
| ~ spl0_35
| ~ spl0_23 ),
inference(rat,[],[s2404,s2351]) ).
cnf(s2943,plain,
( spl0_41
| spl0_18
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2941,s2001,s2934,s2017,s2706,s2902,s2942,s2758,s2937,s625,s1238,s474,s2757,s36,s32,s2923,s63]) ).
cnf(s2944,plain,
( ~ spl0_277
| ~ spl0_41
| ~ spl0_6
| spl0_3 ),
inference(rat,[],[s2751,s1427,s2072,s2317,s1294,s2001,s2625,s2017,s2706,s2579,s68,s2058,s2757]) ).
cnf(s2945,plain,
( ~ spl0_359
| spl0_238
| spl0_277
| ~ spl0_146 ),
inference(rat,[],[s1900,s2424,s2367,s874,s2779,s2524,s2621,s1021,s2189,s2546,s2616,s1017,s397,s1165,s858]) ).
cnf(s2946,plain,
( ~ spl0_293
| ~ spl0_30
| ~ spl0_319
| ~ spl0_347
| spl0_238
| spl0_37
| ~ spl0_460
| spl0_18
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2707,s2830,s1423,s2595,s2764,s2381,s2890,s1769,s228,s2312,s2834,s1424,s2713,s2711,s1538,s63,s2490,s1586,s1071]) ).
cnf(s2947,plain,
( ~ spl0_150
| ~ spl0_197
| ~ spl0_455
| ~ spl0_30
| spl0_238
| spl0_37
| spl0_18
| spl0_29
| ~ spl0_146 ),
inference(rat,[],[s2595,s2830,s2381,s2893,s1769,s228,s2490]) ).
cnf(s2948,plain,
( spl0_150
| ~ spl0_319
| ~ spl0_347
| ~ spl0_58
| spl0_39
| ~ spl0_35 ),
inference(rat,[],[s2701,s2677,s2126,s2594,s918,s2600,s2834,s301,s2312]) ).
cnf(s2949,plain,
( spl0_238
| spl0_277
| spl0_37
| ~ spl0_460
| spl0_18
| ~ spl0_35
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2947,s1937,s1586,s2946,s29,s2415,s2948,s1259,s2145,s2184,s1024,s2945,s2546,s2616,s2757,s104,s68,s1008,s2142,s1017,s1048]) ).
cnf(s2950,plain,
( spl0_18
| spl0_29
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2936,s2834,s1790,s1770,s2002,s2496,s2351,s2700,s2949,s2944,s1008,s2142,s2058,s2579,s2943,s474,s2757,s36,s32,s2923,s63]) ).
cnf(s2951,plain,
( ~ spl0_18
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2934,s2487,s2446,s2443,s1233,s464,s1922,s858]) ).
cnf(s2952,plain,
( spl0_21
| spl0_468
| ~ spl0_277
| ~ spl0_298
| spl0_41
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2871,s874,s1937,s2397,s2928,s13,s29,s2951,s2017,s2757,s1024,s2934,s858,s1048]) ).
cnf(s2953,plain,
( spl0_238
| ~ spl0_277
| ~ spl0_298
| spl0_41
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2941,s2758,s2952,s1638,s2900,s63,s2951,s1233,s2017,s2757,s2001,s2706,s1024,s2934]) ).
cnf(s2954,plain,
( ~ spl0_277
| ~ spl0_298
| spl0_41
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2535,s2337,s865,s2846,s2708,s2936,s2335,s2834,s2546,s2002,s1811,s2351,s2700,s2953,s2711,s2001,s2706,s2757,s2951,s858,s1071]) ).
cnf(s2957,plain,
( spl0_187
| ~ spl0_153
| spl0_305
| ~ spl0_482
| spl0_41
| spl0_18
| ~ spl0_146 ),
inference(rat,[],[s2535,s2337,s865,s2846,s2708,s2936,s858]) ).
cnf(s2958,plain,
( spl0_41
| ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1777,s1936,s1885,s2759,s445,s68,s1008,s2883,s1790,s2830,s2707,s2485,s1423,s2592,s2546,s2335,s2957,s2834,s2711,s2002,s1668,s2073,s2351,s2700,s2446,s2902,s2954,s625,s1120,s1227,s1233,s1238,s2697,s2757,s147,s95,s94,s2950,s2951,s474,s63,s1071,s858,s397]) ).
cnf(s2959,plain,
( ~ spl0_171
| spl0_175
| ~ spl0_173
| spl0_155 ),
inference(rat,[],[s2623,s728]) ).
cnf(s2960,plain,
( spl0_197
| spl0_349
| ~ spl0_294
| ~ spl0_173
| spl0_346
| ~ spl0_511
| spl0_155
| spl0_284
| spl0_37
| spl0_357 ),
inference(rat,[],[s2715,s2637,s2916,s1532,s874,s2132,s2389,s2764,s2755,s1946,s1071,s858]) ).
cnf(s2961,plain,
( spl0_238
| spl0_277
| spl0_37
| ~ spl0_460
| ~ spl0_98
| spl0_357
| ~ spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1447,s2960,s1423,s1426,s2707,s2830,s2959,s2126,s1315,s2701,s2649,s2386,s228,s2312,s1018,s2834,s2749,s1259,s2298,s2593,s2120,s2145,s2745,s2546,s1024,s2621,s2616,s2945,s1021,s104,s1017,s1008,s148,s2534,s99,s38,s2142,s68,s2951,s858]) ).
cnf(s2962,plain,
( ~ spl0_6
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s2936,s2834,s1790,s1770,s2002,s2496,s2351,s2700,s2961,s1008,s2142,s2944,s2058,s2579,s2958,s147,s95,s94,s1085,s2950,s2951,s63,s2757,s474]) ).
cnf(s2964,plain,
( spl0_294
| spl0_180
| spl0_155
| ~ spl0_420
| ~ spl0_166
| ~ spl0_5 ),
inference(rat,[],[s2683,s2546,s2711,s1426,s1668,s1071]) ).
cnf(s2966,plain,
( ~ spl0_407
| ~ spl0_53
| ~ spl0_21
| ~ spl0_60
| spl0_41
| spl0_357 ),
inference(rat,[],[s2766,s2048,s1221,s1946,s2657,s1430,s2112,s858]) ).
cnf(s2967,plain,
( ~ spl0_21
| ~ spl0_37
| spl0_27
| spl0_238
| ~ spl0_277
| ~ spl0_298
| spl0_18
| spl0_41
| spl0_357
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1795,s2515,s1011,s2247,s874,s2731,s951,s1655,s2520,s1641,s2745,s2941,s2966,s1594,s2711,s2490,s2713,s2066,s2009,s2758,s2706,s2759,s858,s1071]) ).
cnf(s2968,plain,
( spl0_397
| ~ spl0_294
| spl0_180
| ~ spl0_37
| ~ spl0_98
| spl0_238
| spl0_18
| spl0_41
| ~ spl0_5
| ~ spl0_146 ),
inference(rat,[],[s2389,s2755,s874,s2716,s1997,s1210,s2711,s2749,s2683,s2900,s2924,s2310,s1024,s2257,s1227,s1269,s1233,s858,s1071]) ).
cnf(s2969,plain,
( spl0_285
| ~ spl0_68
| ~ spl0_294
| ~ spl0_30
| ~ spl0_5 ),
inference(rat,[],[s2007,s2402]) ).
cnf(s2970,plain,
( ~ spl0_354
| spl0_180
| spl0_155
| ~ spl0_166
| ~ spl0_98
| spl0_41
| ~ spl0_5 ),
inference(rat,[],[s2011,s1011,s2367,s2742,s1412,s1165]) ).
cnf(s2971,plain,
( ~ spl0_37
| ~ spl0_98
| spl0_27
| spl0_238
| ~ spl0_277
| ~ spl0_298
| spl0_18
| spl0_41
| spl0_357
| spl0_167
| ~ spl0_5
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2683,s2546,s2711,s2649,s1210,s1447,s2716,s2755,s2389,s2749,s2970,s2309,s874,s1655,s2745,s2968,s2964,s2561,s29,s2967,s2707,s2830,s2257,s1227,s1269,s1233,s1071,s858]) ).
cnf(s2972,plain,
( ~ spl0_39
| spl0_180
| ~ spl0_58
| ~ spl0_166
| ~ spl0_98
| spl0_238
| spl0_41 ),
inference(rat,[],[s2497,s2126,s2689,s2750]) ).
cnf(s2973,plain,
( spl0_397
| ~ spl0_502
| ~ spl0_285
| ~ spl0_511
| ~ spl0_98
| ~ spl0_66 ),
inference(rat,[],[s874,s2389,s1997,s2310,s858]) ).
cnf(s2974,plain,
( ~ spl0_30
| spl0_37
| ~ spl0_98
| spl0_238
| ~ spl0_277
| spl0_18
| spl0_41
| spl0_167
| ~ spl0_5
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2389,s2309,s874,s1655,s2745,s2973,s2755,s2893,s1586,s2429,s2969,s1008,s2972,s2749,s2753,s2970,s2964,s2561,s2707,s2830,s2257,s1227,s1269,s1233,s68,s858]) ).
cnf(s2975,plain,
( spl0_397
| spl0_285
| ~ spl0_26
| ~ spl0_21
| spl0_65
| ~ spl0_58
| ~ spl0_166
| spl0_238
| ~ spl0_277
| ~ spl0_298
| spl0_18
| spl0_41
| spl0_357
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2910,s2559,s1679,s2732,s1676,s2531,s2556,s951,s1926,s1711,s2657,s2175,s2367,s2112,s2779,s2941,s1024,s1233,s858,s1165]) ).
cnf(s2976,plain,
( spl0_238
| ~ spl0_277
| ~ spl0_298
| spl0_18
| spl0_41
| spl0_167
| ~ spl0_11
| ~ spl0_8
| ~ spl0_5
| ~ spl0_12
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2112,s2657,s2247,s1831,s1795,s2313,s2515,s2004,s1011,s874,s2731,s951,s1655,s2520,s1641,s2745,s2975,s2711,s2713,s2009,s2758,s29,s2974,s2488,s68,s2971,s2707,s147,s2830,s732,s1269,s1773,s1082,s1233,s2706,s858,s1071]) ).
cnf(s2977,plain,
( spl0_305
| spl0_285
| ~ spl0_37
| ~ spl0_420
| ~ spl0_434
| ~ spl0_482
| spl0_18
| spl0_41
| ~ spl0_146 ),
inference(rat,[],[s1728,s2678,s728,s2708,s2257,s1282,s2834,s2957,s1315,s2335,s2711,s858,s1071]) ).
cnf(s2978,plain,
( ~ spl0_305
| ~ spl0_37
| spl0_391
| spl0_347
| ~ spl0_277
| ~ spl0_298
| spl0_18
| spl0_41
| spl0_167
| spl0_3 ),
inference(rat,[],[s2106,s1932,s2367,s2224,s2377,s2497,s2517,s2564,s975,s1594,s1294,s874,s1479,s1430,s2871,s2716,s1937,s2303,s2597,s1368,s1254,s2701,s2759,s1179,s1165,s858,s1048]) ).
cnf(s2979,plain,
( ~ spl0_453
| ~ spl0_265
| spl0_347
| ~ spl0_238
| ~ spl0_277 ),
inference(rat,[],[s2542,s874,s2367,s1655,s1893,s858,s1165]) ).
cnf(s2980,plain,
( ~ spl0_37
| ~ spl0_98
| ~ spl0_238
| ~ spl0_277
| ~ spl0_298
| spl0_18
| spl0_41
| spl0_167
| ~ spl0_12
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1929,s2119,s2196,s2230,s874,s1997,s1024,s2745,s2979,s2766,s1221,s669,s2080,s1594,s208,s2344,s1282,s2708,s2303,s2764,s1946,s2716,s1668,s2719,s1210,s2977,s1315,s2978,s2759,s1839,s2700,s2546,s1811,s2706,s1227,s858]) ).
cnf(s2981,plain,
( spl0_155
| ~ spl0_202
| ~ spl0_30
| ~ spl0_434
| ~ spl0_5 ),
inference(rat,[],[s2683,s2561]) ).
cnf(s2982,plain,
( ~ spl0_171
| spl0_65
| spl0_347
| ~ spl0_238
| spl0_18
| ~ spl0_66
| spl0_357 ),
inference(rat,[],[s2764,s2303,s1946,s1575,s2708,s1617,s2657,s2344,s2490,s1576,s1777,s1885,s2546,s858]) ).
cnf(s2983,plain,
( spl0_397
| spl0_468
| ~ spl0_511
| ~ spl0_285
| ~ spl0_294
| ~ spl0_98
| ~ spl0_277
| spl0_18
| ~ spl0_66 ),
inference(rat,[],[s1479,s2080,s2716,s2230,s2755,s874,s2973,s1997,s1024,s858]) ).
cnf(s2984,plain,
( ~ spl0_30
| ~ spl0_166
| spl0_155
| spl0_37
| ~ spl0_98
| ~ spl0_238
| ~ spl0_277
| spl0_18
| spl0_41
| ~ spl0_5
| spl0_3 ),
inference(rat,[],[s1586,s2344,s2429,s2708,s1008,s2294,s2750,s2543,s1315,s2789,s669,s874,s2367,s951,s2979,s1655,s1893,s1641,s2745,s2983,s2753,s1638,s2749,s2711,s2964,s2970,s2981,s2561,s1233,s2546,s1811,s2706,s1227,s208,s858,s1165,s1071]) ).
cnf(s2985,plain,
( ~ spl0_327
| ~ spl0_356
| ~ spl0_68
| ~ spl0_202
| ~ spl0_85
| ~ spl0_277
| ~ spl0_298
| spl0_3 ),
inference(rat,[],[s1538,s1259,s1946,s978,s2871,s858]) ).
cnf(s2986,plain,
( spl0_27
| ~ spl0_238
| ~ spl0_277
| ~ spl0_298
| spl0_18
| spl0_41
| spl0_167
| ~ spl0_8
| ~ spl0_5
| ~ spl0_12
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2530,s1594,s2290,s2344,s2384,s2708,s2312,s1259,s1235,s2020,s2498,s1011,s2552,s874,s2985,s2718,s2073,s148,s2007,s2534,s1894,s99,s1947,s1610,s38,s1008,s2698,s2750,s2701,s2015,s2957,s2335,s2711,s2713,s2009,s2758,s29,s2984,s2834,s2707,s2257,s2830,s2982,s2488,s68,s104,s2980,s1227,s147,s1082,s1233,s2700,s2546,s1811,s2706,s858,s1071]) ).
cnf(s2987,plain,
( ~ spl0_277
| ~ spl0_298
| spl0_18
| spl0_41
| spl0_167
| ~ spl0_11
| ~ spl0_8
| ~ spl0_5
| ~ spl0_12
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s224,s2982,s1504,s724,s732,s1502,s2986,s1811,s2976,s2706,s1082,s1233]) ).
cnf(s2988,plain,
( ~ spl0_157
| ~ spl0_37
| ~ spl0_420
| spl0_285
| ~ spl0_482
| spl0_294
| spl0_18
| spl0_41
| spl0_167
| ~ spl0_146 ),
inference(rat,[],[s2977,s2546,s2701,s1426,s1368,s2707]) ).
cnf(s2989,plain,
( ~ spl0_39
| spl0_123
| ~ spl0_171
| spl0_206
| ~ spl0_98
| ~ spl0_349
| spl0_277
| ~ spl0_66
| spl0_357 ),
inference(rat,[],[s2657,s1575,s1627,s1777,s1664,s1885,s1946,s445,s2601,s1017,s858]) ).
cnf(s2990,plain,
( spl0_39
| spl0_155
| spl0_157
| ~ spl0_60
| ~ spl0_482
| spl0_18
| spl0_41
| spl0_6
| ~ spl0_146 ),
inference(rat,[],[s1826,s1610,s2626,s2698,s1254,s2015,s29,s2957,s2561,s1790,s2622,s1008,s3,s1120,s2694,s2830,s2834]) ).
cnf(s2991,plain,
( ~ spl0_39
| ~ spl0_171
| spl0_206
| ~ spl0_98
| ~ spl0_349
| ~ spl0_238
| spl0_277
| spl0_18
| ~ spl0_66
| spl0_357
| spl0_3 ),
inference(rat,[],[s2982,s2592,s2273,s2485,s1946,s2989,s2601,s1017,s858]) ).
cnf(s2992,plain,
( ~ spl0_37
| ~ spl0_98
| spl0_277
| spl0_18
| spl0_41
| spl0_357
| spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2657,s1575,s1576,s1777,s1884,s2546,s2593,s2990,s2991,s2830,s2988,s2614,s2715,s2113,s2759,s22,s1120,s2694,s1017,s2700,s2902,s2719,s2073,s2446,s1233,s1227,s858]) ).
cnf(s2993,plain,
( spl0_455
| ~ spl0_241
| ~ spl0_26
| ~ spl0_180
| ~ spl0_157
| ~ spl0_153
| spl0_37
| spl0_18
| spl0_41
| spl0_6
| ~ spl0_146 ),
inference(rat,[],[s2094,s2664,s1714,s2773,s1738,s1749,s865,s161,s2848,s101,s2708,s2132,s2564,s1533,s1594,s22,s3,s2707,s1120,s2694,s858]) ).
cnf(s2994,plain,
( ~ spl0_157
| spl0_155
| spl0_37
| ~ spl0_420
| spl0_285
| ~ spl0_356
| ~ spl0_482
| spl0_27
| spl0_294
| ~ spl0_238
| spl0_18
| spl0_41
| spl0_6
| ~ spl0_146 ),
inference(rat,[],[s2543,s2294,s874,s2367,s978,s964,s1259,s2312,s2708,s2344,s2993,s1208,s1610,s1008,s2698,s2750,s2015,s2758,s2957,s29,s2335,s2561,s2546,s2964,s1426,s2707,s3,s1120,s2694,s2711,s104,s2834,s858,s1165,s1071]) ).
cnf(s2995,plain,
( spl0_155
| spl0_37
| ~ spl0_98
| ~ spl0_482
| spl0_27
| spl0_277
| spl0_18
| spl0_41
| spl0_357
| spl0_6
| ~ spl0_146 ),
inference(rat,[],[s2601,s1008,s1937,s1259,s2202,s2312,s2597,s2708,s2344,s540,s1777,s1426,s1885,s2982,s2830,s2994,s2834,s2902,s2718,s2719,s2073,s2446,s1233,s1227,s104,s68,s2488,s22,s1048,s858]) ).
cnf(s2996,plain,
( spl0_18
| ~ spl0_270
| spl0_41
| ~ spl0_11
| ~ spl0_8
| spl0_6
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2982,s2257,s2593,s2995,s2488,s2992,s1227,s147,s2700,s732,s2902,s1798,s2987,s625,s22,s3,s1120,s2694,s1082,s1233]) ).
cnf(s2997,plain,
( spl0_41
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s960,s2512,s1847,s951,s1893,s2700,s1641,s2745,s1269,s2706,s2487,s2830,s2446,s2376,s2443,s1241,s1922,s2996,s1233,s1238,s474,s1498,s665,s2962,s858]) ).
cnf(s2998,plain,
( ~ spl0_39
| spl0_305
| spl0_477
| ~ spl0_153
| ~ spl0_98
| spl0_27
| spl0_238
| ~ spl0_41 ),
inference(rat,[],[s2655,s29,s2936,s2083,s2689,s2699]) ).
cnf(s2999,plain,
( ~ spl0_68
| spl0_285
| ~ spl0_37
| ~ spl0_294
| spl0_197
| spl0_18
| ~ spl0_5 ),
inference(rat,[],[s2490,s1594,s2066,s1221,s29,s2007,s2969]) ).
cnf(s3000,plain,
( ~ spl0_39
| ~ spl0_153
| ~ spl0_98
| spl0_27
| spl0_238
| ~ spl0_82
| ~ spl0_293
| ~ spl0_277
| ~ spl0_41
| spl0_167 ),
inference(rat,[],[s2763,s2677,s2060,s2701,s2655,s2998,s1959,s2649,s29,s2303,s2083,s2689,s2699]) ).
cnf(s3001,plain,
( spl0_407
| ~ spl0_68
| ~ spl0_502
| ~ spl0_294 ),
inference(rat,[],[s1427,s2391,s1294]) ).
cnf(s3002,plain,
( ~ spl0_354
| ~ spl0_166
| spl0_238
| ~ spl0_460
| ~ spl0_146 ),
inference(rat,[],[s2779,s2367,s1024,s1412,s2120,s1165]) ).
cnf(s3003,plain,
( ~ spl0_326
| ~ spl0_511
| ~ spl0_502
| ~ spl0_294 ),
inference(rat,[],[s2389,s2309]) ).
cnf(s3004,plain,
( spl0_155
| ~ spl0_37
| ~ spl0_98
| spl0_27
| spl0_238
| ~ spl0_277
| ~ spl0_41
| spl0_167
| ~ spl0_5
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2745,s1997,s1655,s874,s3003,s2749,s3002,s2707,s2830,s2622,s2561,s29,s2009,s2713,s2999,s1008,s3000,s2834,s464,s2755,s2072,s2764,s1946,s2169,s2706,s2625,s2579,s858]) ).
cnf(s3006,plain,
( ~ spl0_69
| ~ spl0_171
| ~ spl0_347
| ~ spl0_294
| spl0_167 ),
inference(rat,[],[s2701,s2677,s1315,s2637,s728,s1427,s858,s1071]) ).
cnf(s3007,plain,
( ~ spl0_327
| spl0_284
| ~ spl0_45
| spl0_150
| ~ spl0_291
| ~ spl0_277
| spl0_357
| spl0_3 ),
inference(rat,[],[s1521,s2367,s2745,s1900,s1655,s2424,s292,s1165,s397]) ).
cnf(s3008,plain,
( ~ spl0_37
| ~ spl0_98
| spl0_27
| spl0_238
| ~ spl0_277
| ~ spl0_41
| spl0_357
| spl0_167
| ~ spl0_5
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2741,s2749,s1011,s3003,s2552,s874,s3007,s2186,s2751,s3006,s2402,s29,s2083,s670,s2699,s1008,s2999,s1786,s2713,s1959,s1424,s2649,s2303,s2832,s2708,s1282,s3004,s464,s2755,s2072,s2764,s1946,s2169,s2706,s2625,s2579,s1021,s858]) ).
cnf(s3009,plain,
( ~ spl0_327
| ~ spl0_285
| ~ spl0_98
| ~ spl0_277
| spl0_3 ),
inference(rat,[],[s2745,s1997,s1655]) ).
cnf(s3010,plain,
( spl0_155
| ~ spl0_171
| ~ spl0_30
| ~ spl0_98
| spl0_27
| spl0_238
| ~ spl0_82
| ~ spl0_293
| ~ spl0_277
| ~ spl0_41
| spl0_167
| ~ spl0_5 ),
inference(rat,[],[s1008,s2622,s3000,s2561,s2834]) ).
cnf(s3011,plain,
( spl0_238
| ~ spl0_277
| ~ spl0_41
| spl0_167
| ~ spl0_11
| ~ spl0_8
| ~ spl0_5
| ~ spl0_12
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2619,s2126,s1826,s2701,s1610,s2384,s1769,s2303,s1424,s3010,s2367,s2830,s2779,s2707,s1024,s3002,s2120,s2749,s3003,s874,s3009,s29,s2009,s2490,s148,s2713,s1533,s2025,s2202,s2132,s68,s3008,s147,s732,s1773,s1082,s464,s2755,s2072,s2764,s1946,s2169,s2706,s2625,s2579,s1165,s858]) ).
cnf(s3012,plain,
( ~ spl0_277
| ~ spl0_41
| spl0_167
| ~ spl0_11
| ~ spl0_8
| ~ spl0_5
| ~ spl0_12
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2303,s1770,s1811,s2700,s3011,s2764,s1946,s2169,s2625,s2706,s2579,s858]) ).
cnf(s3013,plain,
( spl0_197
| spl0_285
| ~ spl0_294
| ~ spl0_37
| ~ spl0_494
| spl0_155
| spl0_354
| spl0_284
| ~ spl0_98
| spl0_27
| spl0_277
| ~ spl0_41
| spl0_357
| ~ spl0_5 ),
inference(rat,[],[s951,s2555,s2215,s1011,s1991,s1432,s2011,s2561,s2367,s29,s1900,s2083,s2424,s2699,s874,s1008,s3003,s2999,s2755,s1946,s464,s2749,s858,s1165,s397]) ).
cnf(s3014,plain,
( spl0_285
| ~ spl0_294
| ~ spl0_37
| ~ spl0_494
| spl0_354
| ~ spl0_347
| spl0_284
| ~ spl0_98
| spl0_27
| spl0_277
| ~ spl0_41
| spl0_357
| spl0_167
| ~ spl0_5 ),
inference(rat,[],[s2424,s1900,s874,s2367,s2196,s2106,s2751,s2623,s3006,s2830,s1447,s3013,s2593,s2649,s397,s858,s1165]) ).
cnf(s3015,plain,
( ~ spl0_294
| ~ spl0_37
| ~ spl0_494
| spl0_354
| ~ spl0_347
| ~ spl0_397
| spl0_284
| ~ spl0_98
| spl0_27
| spl0_277
| ~ spl0_41
| spl0_357
| spl0_167
| ~ spl0_5 ),
inference(rat,[],[s2490,s2066,s1594,s29,s2048,s2561,s2282,s2011,s1825,s1011,s1831,s2367,s2731,s2427,s1900,s1356,s2424,s874,s3003,s2755,s2716,s1210,s3014,s464,s2593,s2749,s1165,s397,s858]) ).
cnf(s3016,plain,
( ~ spl0_293
| spl0_206
| spl0_470
| ~ spl0_351 ),
inference(rat,[],[s1664,s1627]) ).
cnf(s3017,plain,
( ~ spl0_37
| ~ spl0_494
| spl0_354
| ~ spl0_347
| ~ spl0_397
| spl0_284
| ~ spl0_98
| spl0_27
| spl0_277
| ~ spl0_41
| spl0_357
| spl0_167
| ~ spl0_5
| ~ spl0_12 ),
inference(rat,[],[s2369,s1876,s2367,s2450,s2106,s2959,s1315,s1254,s2564,s1594,s2490,s2066,s29,s2561,s2622,s1008,s2601,s1937,s3016,s2614,s2830,s2715,s1740,s2707,s2113,s2718,s1426,s2073,s3015,s2759,s464,s1017,s2593,s1165,s858,s1048]) ).
cnf(s3018,plain,
( spl0_197
| ~ spl0_294
| ~ spl0_58
| ~ spl0_494
| spl0_354
| ~ spl0_397
| spl0_284
| ~ spl0_351
| spl0_357
| ~ spl0_12 ),
inference(rat,[],[s2438,s2715,s2559,s2614,s1991,s1432,s3016,s2367,s2427,s1900,s2424,s874,s3003,s2755,s1946,s2749,s1165,s397,s858]) ).
cnf(s3019,plain,
( ~ spl0_197
| ~ spl0_58
| ~ spl0_85
| ~ spl0_379
| spl0_155
| spl0_78
| ~ spl0_98
| spl0_27
| spl0_277
| ~ spl0_41
| spl0_167
| ~ spl0_5
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2920,s2758,s148,s29,s2534,s2312,s2561,s99,s1259,s2622,s2830,s38,s1008,s1447,s2601,s464,s2834]) ).
cnf(s3020,plain,
( spl0_238
| ~ spl0_98
| spl0_27
| spl0_277
| ~ spl0_41
| spl0_357
| spl0_167
| ~ spl0_5
| ~ spl0_12
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2959,s2126,s1315,s2701,s2677,s2614,s3016,s2830,s1740,s2707,s2718,s1426,s2073,s3018,s1946,s3019,s68,s104,s3017,s1932,s2125,s2649,s2593,s2120,s2145,s2745,s2546,s1024,s2621,s2616,s2945,s1021,s2579,s1017,s858,s1179]) ).
cnf(s3021,plain,
( spl0_397
| spl0_284
| spl0_180
| spl0_155
| ~ spl0_98
| spl0_277
| spl0_357
| ~ spl0_5
| ~ spl0_146 ),
inference(rat,[],[s2367,s2011,s1900,s1011,s2424,s2555,s874,s951,s2524,s2523,s1024,s1017,s1165,s397,s858]) ).
cnf(s3022,plain,
( spl0_284
| ~ spl0_293
| ~ spl0_37
| ~ spl0_98
| spl0_27
| spl0_277
| ~ spl0_41
| spl0_357
| spl0_167
| ~ spl0_5
| ~ spl0_12
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1932,s3017,s2125,s2120,s2745,s3021,s2561,s29,s2066,s2490,s1594,s2203,s464,s2593,s2303,s2597,s2496,s2579,s1770,s2700,s3020,s1179]) ).
cnf(s3023,plain,
( ~ spl0_293
| ~ spl0_294
| ~ spl0_37
| ~ spl0_98
| spl0_27
| spl0_277
| ~ spl0_41
| spl0_357
| spl0_167
| ~ spl0_5
| ~ spl0_12
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1869,s2698,s1831,s1610,s1825,s1826,s2282,s2186,s3022,s2303,s2830,s2832,s2597,s1770,s2700,s2496,s3020,s2579]) ).
cnf(s3024,plain,
( ~ spl0_294
| ~ spl0_37
| ~ spl0_98
| spl0_27
| spl0_277
| ~ spl0_41
| spl0_357
| spl0_167
| ~ spl0_5
| ~ spl0_12
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s2564,s1594,s2622,s2490,s2585,s2066,s2013,s29,s2969,s1008,s1210,s2601,s2716,s1937,s3023,s464,s1770,s2700,s2830,s2496,s3020,s2579,s1048]) ).
cnf(s3025,plain,
( spl0_155
| ~ spl0_68
| ~ spl0_37
| ~ spl0_171
| spl0_150
| spl0_18
| ~ spl0_5 ),
inference(rat,[],[s2490,s2066,s1594,s29,s2564,s2561,s2622]) ).
cnf(s3026,plain,
( ~ spl0_37
| ~ spl0_98
| spl0_27
| spl0_277
| ~ spl0_41
| spl0_357
| spl0_167
| ~ spl0_5
| ~ spl0_12
| spl0_3
| ~ spl0_146 ),
inference(rat,[],[s1576,s1884,s2546,s2593,s3025,s1008,s2601,s1937,s3016,s2614,s2715,s1740,s2113,s2718,s2073,s3024,s464,s1017,s1770,s2700,s2830,s2496,s3020,s2579,s1048,s858]) ).
cnf(s3027,plain,
( ~ spl0_293
| ~ spl0_269
| ~ spl0_84
| ~ spl0_82
| spl0_150 ),
inference(rat,[],[s2637,s2677,s1532,s2303,s1071]) ).
cnf(s3029,plain,
( ~ spl0_453
| ~ spl0_175
| ~ spl0_238
| ~ spl0_41 ),
inference(rat,[],[s2106,s2367,s1932,s1893,s2125,s1165,s1179]) ).
cnf(s3030,plain,
( spl0_3
| ~ spl0_2 ),
inference(rat,[],[s1884,s1576,s1669,s2369,s2614,s2367,s2715,s2106,s2438,s1932,s2559,s2568,s1445,s874,s951,s2524,s2523,s2439,s1024,s2745,s3029,s2600,s1617,s2601,s2716,s1937,s3027,s2701,s1315,s2490,s2618,s1533,s301,s2132,s68,s3026,s2597,s1770,s2496,s2700,s3020,s147,s732,s1017,s1798,s3012,s464,s2579,s2997,s1082,s1120,s665,s1498,s3,s22,s2694,s2962,s474,s397,s1165,s1179,s858,s1048]) ).
cnf(s3031,plain,
( spl0_197
| spl0_41
| ~ spl0_3 ),
inference(rat,[],[s2766,s1221,s1946,s1206,s59,s858]) ).
cnf(s3034,plain,
( ~ spl0_347
| spl0_155
| ~ spl0_294
| ~ spl0_197
| spl0_167
| spl0_175 ),
inference(rat,[],[s3006,s2623,s2830,s1447,s2649]) ).
cnf(s3036,plain,
( ~ spl0_347
| ~ spl0_171
| ~ spl0_155
| ~ spl0_294
| spl0_27
| spl0_167
| spl0_208 ),
inference(rat,[],[s2751,s2713,s3006,s1424]) ).
cnf(s3037,plain,
( ~ spl0_18
| ~ spl0_155
| ~ spl0_294
| spl0_27
| spl0_332
| spl0_167
| ~ spl0_66
| ~ spl0_3 ),
inference(rat,[],[s43,s52,s1300,s1352,s1302,s2767,s1353,s865,s793,s2722,s3036,s2830,s1241,s1285,s1206,s59,s2585,s858]) ).
cnf(s3038,plain,
( spl0_150
| spl0_41
| ~ spl0_3 ),
inference(rat,[],[s2564,s2497,s250,s59]) ).
cnf(s3039,plain,
( spl0_155
| ~ spl0_37
| ~ spl0_294
| ~ spl0_150
| ~ spl0_197
| spl0_167
| ~ spl0_3 ),
inference(rat,[],[s2759,s1254,s465,s1315,s1008,s1421,s1947,s2735,s2722,s2546,s3034,s1206,s250,s59,s1350,s471,s858]) ).
cnf(s3040,plain,
( ~ spl0_37
| ~ spl0_294
| spl0_27
| ~ spl0_150
| ~ spl0_197
| spl0_332
| spl0_167
| ~ spl0_66
| ~ spl0_3 ),
inference(rat,[],[s2708,s3037,s1282,s3039]) ).
cnf(s3042,plain,
( ~ spl0_294
| ~ spl0_68
| spl0_27
| ~ spl0_150
| ~ spl0_197
| spl0_332
| spl0_167
| ~ spl0_66
| ~ spl0_3 ),
inference(rat,[],[s2753,s2429,s3040,s725,s29,s35]) ).
cnf(s3043,plain,
( ~ spl0_62
| ~ spl0_46
| spl0_333 ),
inference(rat,[],[s2737,s869,s865,s785,s868,s858]) ).
cnf(s3044,plain,
( spl0_41
| ~ spl0_2 ),
inference(rat,[],[s1543,s2432,s3042,s1008,s465,s1922,s731,s3043,s3038,s3031,s798,s73,s97,s1120,s39,s1233,s2697,s474,s59,s827,s471,s725,s29,s35,s3030,s858,s397]) ).
cnf(s3045,plain,
( ~ spl0_37
| ~ spl0_6
| spl0_27
| spl0_197
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s249,s2585,s648,s629,s628,s32,s36,s149,s2586,s2699,s110,s1008,s1427,s3001,s1294,s2715,s2113,s2718,s2764,s101,s2454,s1936,s2759,s29,s35,s464,s3044,s1544,s1825,s1206,s59,s2755,s2076,s1946,s876,s3030,s858]) ).
cnf(s3046,plain,
( ~ spl0_16
| spl0_64
| spl0_48
| ~ spl0_39
| spl0_27
| ~ spl0_3 ),
inference(rat,[],[s110,s149,s80,s36,s29,s35,s2699]) ).
cnf(s3047,plain,
( spl0_37
| spl0_27
| ~ spl0_293
| ~ spl0_294
| ~ spl0_3 ),
inference(rat,[],[s249,s2585,s648,s629,s628,s32,s3046,s2576,s2586,s2699,s1008,s2718,s2429,s2764,s101,s2753,s106,s725,s29,s35,s1544,s1825,s876,s1206,s59]) ).
cnf(s3048,plain,
( spl0_27
| spl0_197
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s311,s2708,s640,s2830,s1282,s999,s1001,s629,s993,s714,s2574,s3,s3045,s3047,s59,s29,s35,s3030,s464,s3044,s1946,s858]) ).
cnf(s3049,plain,
( ~ spl0_46
| ~ spl0_2 ),
inference(rat,[],[s731,s3043,s827,s471,s3030,s464,s3044]) ).
cnf(s3050,plain,
( ~ spl0_37
| ~ spl0_197
| ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s1427,s1294,s2751,s1430,s1210,s2759,s1206,s59,s3030,s2716,s464,s3044]) ).
cnf(s3051,plain,
( spl0_155
| ~ spl0_39
| spl0_37
| ~ spl0_197
| spl0_27
| ~ spl0_294
| spl0_167
| ~ spl0_3 ),
inference(rat,[],[s416,s414,s412,s411,s627,s451,s80,s158,s2595,s2623,s93,s640,s2830,s540,s2707,s2750,s1315,s1421,s2756,s2735,s32,s2453,s2546,s628,s3034,s629,s250,s59,s1350,s471,s29,s35,s1825,s876,s2699,s364,s858]) ).
cnf(s3052,plain,
( spl0_27
| ~ spl0_294
| spl0_167
| ~ spl0_2 ),
inference(rat,[],[s249,s705,s2585,s3051,s2699,s38,s99,s68,s3050,s3048,s73,s59,s101,s108,s3049,s3030]) ).
cnf(s3053,plain,
( ~ spl0_294
| spl0_167
| ~ spl0_2 ),
inference(rat,[],[s110,s1427,s730,s1514,s3052,s29,s35,s3030,s3049]) ).
cnf(s3054,plain,
( ~ spl0_166
| ~ spl0_39
| spl0_155
| spl0_294
| spl0_436 ),
inference(rat,[],[s1421,s2735,s1315,s2546,s2750,s1426,s858]) ).
cnf(s3055,plain,
( spl0_157
| spl0_155
| ~ spl0_60
| ~ spl0_2 ),
inference(rat,[],[s1315,s1254,s2959,s2597,s2830,s250,s59,s108,s3049,s3030,s858]) ).
cnf(s3056,plain,
( spl0_155
| ~ spl0_37
| ~ spl0_293
| spl0_167
| ~ spl0_2 ),
inference(rat,[],[s1421,s1315,s2240,s2701,s3054,s1426,s1368,s2707,s3055,s1206,s59,s1350,s471,s3030,s3053,s2759,s464,s3044,s858]) ).
cnf(s3057,plain,
( ~ spl0_37
| ~ spl0_293
| spl0_27
| spl0_167
| ~ spl0_2 ),
inference(rat,[],[s1421,s2240,s1315,s2699,s2701,s1426,s705,s1368,s2707,s2597,s2708,s1282,s3056,s1206,s59,s464,s3044,s108,s3049,s3030,s3053,s858]) ).
cnf(s3058,plain,
( spl0_155
| ~ spl0_61
| ~ spl0_39
| spl0_37
| spl0_294
| spl0_167
| ~ spl0_3 ),
inference(rat,[],[s2718,s1085,s2576,s1088,s80,s2595,s2623,s2830,s32,s2707,s628,s3054,s629,s250,s59,s1350,s471,s29,s35,s2073,s858]) ).
cnf(s3059,plain,
( spl0_37
| spl0_27
| spl0_167
| ~ spl0_2 ),
inference(rat,[],[s249,s705,s2585,s3058,s2699,s38,s99,s68,s73,s59,s101,s108,s3049,s3030,s3053]) ).
cnf(s3060,plain,
( spl0_155
| ~ spl0_37
| spl0_167
| ~ spl0_2 ),
inference(rat,[],[s1421,s2735,s1315,s2546,s2701,s1426,s1368,s2707,s3055,s1350,s471,s3030,s3053,s2759,s464,s3044,s858]) ).
cnf(s3061,plain,
( spl0_27
| spl0_167
| ~ spl0_2 ),
inference(rat,[],[s1208,s1361,s1008,s2546,s2699,s1426,s705,s2707,s2597,s2708,s1282,s3060,s1210,s2716,s1937,s3057,s3059,s876,s464,s3044,s108,s3049,s3030,s3053,s1048]) ).
cnf(s3062,plain,
( ~ spl0_27
| ~ spl0_2 ),
inference(rat,[],[s2737,s869,s2788,s865,s540,s989,s1773,s714,s946,s732,s2574,s110,s665,s3,s730,s63,s827,s471,s29,s35,s3030,s3049,s858]) ).
cnf(s3063,plain,
( ~ spl0_294
| ~ spl0_2 ),
inference(rat,[],[s89,s537,s93,s158,s2699,s38,s99,s68,s3050,s3048,s1825,s876,s73,s3049,s59,s451,s634,s32,s628,s917,s29,s35,s483,s480,s434,s472,s3061,s3062,s471,s3030]) ).
cnf(s3064,plain,
( ~ spl0_39
| ~ spl0_2 ),
inference(rat,[],[s3046,s2576,s2586,s32,s628,s917,s29,s35,s2718,s2073,s3063,s1121,s483,s480,s434,s472,s3061,s3062,s471,s3030,s858]) ).
cnf(s3065,plain,
~ spl0_2,
inference(rat,[],[s2759,s1198,s68,s1380,s99,s1947,s2600,s38,s1008,s3064,s865,s228,s918,s1140,s3061,s3062,s73,s3049,s464,s3044,s250,s59,s471,s3030,s1179,s858]) ).
cnf(s3066,plain,
spl0_1,
inference(rat,[],[s1,s3065]) ).
cnf(s3067,plain,
( ~ spl0_455
| spl0_18
| ~ spl0_37 ),
inference(rat,[],[s2037,s2066,s1936,s2490,s2759,s3066]) ).
cnf(s3068,plain,
( ~ spl0_39
| ~ spl0_37
| spl0_27
| ~ spl0_34 ),
inference(rat,[],[s2038,s2084,s1618,s3067,s465,s2699,s3066]) ).
cnf(s3069,plain,
( spl0_455
| spl0_197
| ~ spl0_37
| spl0_27
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s1603,s2009,s1566,s2713,s2007,s3,s2757,s2758,s2058,s2038,s1221,s1618,s1594,s1008,s3068,s34,s3066]) ).
cnf(s3070,plain,
( ~ spl0_6
| spl0_155
| ~ spl0_171
| ~ spl0_407
| ~ spl0_293
| spl0_167
| spl0_3 ),
inference(rat,[],[s1606,s1998,s2351,s2701,s1315,s2959,s2239,s2715,s2177,s1603,s2017,s2757,s3066,s858]) ).
cnf(s3071,plain,
( ~ spl0_347
| ~ spl0_180
| spl0_471
| spl0_155
| ~ spl0_327
| ~ spl0_407
| spl0_167 ),
inference(rat,[],[s2916,s2611,s1315,s1831,s2701,s2657,s2715,s2677,s2189,s858]) ).
cnf(s3072,plain,
( spl0_155
| spl0_436
| ~ spl0_327
| ~ spl0_171
| ~ spl0_407
| ~ spl0_293
| ~ spl0_68
| spl0_167
| spl0_3 ),
inference(rat,[],[s1216,s951,s2438,s2556,s2715,s1680,s1105,s2172,s2735,s2546,s3071,s2622,s2112,s3,s22,s2037,s3070,s34,s1453,s858,s3066]) ).
cnf(s3073,plain,
( ~ spl0_6
| ~ spl0_155
| spl0_436
| ~ spl0_407
| spl0_167
| spl0_27
| spl0_3 ),
inference(rat,[],[s2402,s2756,s29,s2546,s1094,s2758,s1869,s2715,s1961,s2698,s2177,s1606,s1603,s2700,s2017,s2002,s2757,s3066]) ).
cnf(s3074,plain,
( spl0_197
| ~ spl0_37
| spl0_167
| spl0_27
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s1606,s1961,s2013,s2758,s2037,s3073,s2585,s3072,s1351,s874,s2830,s3003,s1241,s2396,s3067,s3069,s3001,s2755,s1946,s1008,s3068,s34,s3066,s858,s1179]) ).
cnf(s3075,plain,
( ~ spl0_157
| ~ spl0_37
| spl0_167
| ~ spl0_34 ),
inference(rat,[],[s1606,s1569,s1597,s1618,s3067,s1241,s2707,s3066]) ).
cnf(s3076,plain,
( spl0_18
| spl0_155
| ~ spl0_197
| ~ spl0_37
| spl0_167
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s1869,s2546,s2698,s1884,s2614,s2450,s1017,s22,s2623,s2706,s2757,s1427,s2153,s2169,s2058,s1294,s1777,s1618,s1594,s1430,s3067,s2759,s2830,s3075,s34,s3066]) ).
cnf(s3078,plain,
( ~ spl0_277
| ~ spl0_379
| ~ spl0_347
| spl0_3 ),
inference(rat,[],[s1606,s1811,s1959,s2706,s3066]) ).
cnf(s3079,plain,
( ~ spl0_327
| ~ spl0_470
| spl0_357 ),
inference(rat,[],[s2428,s2424,s2657,s3066]) ).
cnf(s3080,plain,
( spl0_21
| spl0_407
| ~ spl0_463
| ~ spl0_326
| ~ spl0_6
| spl0_468
| spl0_3 ),
inference(rat,[],[s2745,s2298,s1024,s2031,s2397,s13,s29]) ).
cnf(s3081,plain,
( ~ spl0_347
| ~ spl0_6
| ~ spl0_35
| spl0_468
| spl0_344
| spl0_357
| spl0_167
| spl0_3 ),
inference(rat,[],[s3080,s2715,s2942,s2525,s874,s3079,s1606,s2698,s1869,s2177,s1603,s3078,s2649,s2757,s858,s3066]) ).
cnf(s3082,plain,
( ~ spl0_6
| ~ spl0_35
| spl0_468
| spl0_436
| spl0_344
| spl0_155
| spl0_357
| spl0_167
| spl0_3 ),
inference(rat,[],[s1606,s1998,s2351,s2701,s1315,s1421,s2735,s2546,s3081,s2757,s3066,s858]) ).
cnf(s3083,plain,
( ~ spl0_470
| ~ spl0_26
| ~ spl0_21
| spl0_344
| spl0_357 ),
inference(rat,[],[s1293,s1294,s2519,s874,s2112,s1566,s3079,s2657,s858]) ).
cnf(s3084,plain,
( ~ spl0_347
| ~ spl0_277
| spl0_167
| spl0_3 ),
inference(rat,[],[s3078,s2649]) ).
cnf(s3085,plain,
( spl0_155
| ~ spl0_37
| spl0_167
| spl0_27
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s2015,s1315,s2698,s1421,s1610,s2735,s2453,s2546,s3084,s2007,s2713,s2009,s1603,s3083,s2758,s3,s2037,s3082,s36,s1638,s32,s1233,s1351,s1883,s2376,s464,s2314,s3076,s1927,s1008,s3068,s1741,s3074,s2830,s3075,s34,s858,s3066]) ).
cnf(s3086,plain,
( ~ spl0_21
| ~ spl0_155
| spl0_27 ),
inference(rat,[],[s1606,s1961,s2013,s2758,s2585,s3066]) ).
cnf(s3087,plain,
( ~ spl0_347
| ~ spl0_478
| spl0_167
| spl0_3 ),
inference(rat,[],[s1603,s1869,s3084,s3066]) ).
cnf(s3088,plain,
( ~ spl0_37
| spl0_167
| spl0_27
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s2517,s975,s874,s1833,s3079,s2657,s2000,s2402,s2756,s2546,s3087,s2698,s1351,s2376,s1606,s3067,s2700,s1618,s2002,s2038,s2037,s29,s3086,s3085,s2830,s3075,s1741,s3074,s34,s858,s3066]) ).
cnf(s3089,plain,
( ~ spl0_6
| spl0_197
| ~ spl0_470
| spl0_357
| spl0_37
| ~ spl0_294
| ~ spl0_34 ),
inference(rat,[],[s1575,s2764,s2046,s2132,s1008,s1532,s3001,s1294,s2715,s2177,s2657,s1946,s2755,s858]) ).
cnf(s3090,plain,
( ~ spl0_21
| ~ spl0_471
| ~ spl0_470
| ~ spl0_58
| spl0_27
| ~ spl0_294 ),
inference(rat,[],[s2751,s1427,s2317,s1294,s1566,s2112,s2758]) ).
cnf(s3092,plain,
( ~ spl0_277
| ~ spl0_6
| ~ spl0_58
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s2751,s1427,s2317,s1294,s2001,s2017,s2706,s2757]) ).
cnf(s3093,plain,
( ~ spl0_6
| spl0_197
| spl0_37
| spl0_27
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s874,s1453,s2196,s2732,s1932,s1999,s1644,s1645,s2184,s2766,s2398,s2402,s1553,s13,s29,s1233,s2758,s2490,s2579,s2043,s2046,s2142,s1008,s1286,s2429,s2764,s1538,s2202,s951,s1093,s1094,s1684,s3089,s1017,s1603,s3092,s2757,s34,s68,s2753,s1946,s858,s1179,s3066]) ).
cnf(s3094,plain,
( ~ spl0_277
| ~ spl0_21
| ~ spl0_293
| spl0_37
| spl0_27
| ~ spl0_294
| ~ spl0_34 ),
inference(rat,[],[s2043,s1008,s1751,s2429,s2764,s1538,s2202,s2711,s2713,s2009,s68,s2753,s2758,s1071]) ).
cnf(s3095,plain,
( spl0_197
| spl0_37
| spl0_27
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s2084,s2043,s2699,s1008,s2429,s1538,s2711,s1566,s1603,s3094,s2758,s2037,s3093,s1946,s34,s2753,s3066,s1071,s858]) ).
cnf(s3096,plain,
( spl0_455
| ~ spl0_30
| ~ spl0_6
| ~ spl0_431
| ~ spl0_294
| ~ spl0_34 ),
inference(rat,[],[s2429,s1008,s1586,s2046]) ).
cnf(s3097,plain,
( ~ spl0_6
| spl0_37
| spl0_27
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s3080,s1638,s2525,s1233,s2376,s464,s2314,s2490,s3096,s29,s874,s3090,s2715,s3079,s2657,s1617,s2177,s1603,s3092,s34,s68,s2753,s1741,s3095,s858,s3066]) ).
cnf(s3098,plain,
( ~ spl0_277
| spl0_56
| ~ spl0_26
| ~ spl0_197
| spl0_37
| spl0_3 ),
inference(rat,[],[s32,s1883,s44,s1008,s2716,s2043,s1479,s1618,s2169,s2706,s3066]) ).
cnf(s3099,plain,
( spl0_37
| spl0_27
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s3090,s2657,s1603,s3098,s1927,s3086,s2758,s2037,s3097,s1741,s3095,s68,s3066]) ).
cnf(s3100,plain,
( spl0_197
| spl0_27
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s3,s2757,s2626,s2017,s1825,s1603,s1831,s3079,s874,s2201,s3003,s2272,s2396,s3067,s3001,s3069,s2755,s1946,s1008,s3068,s34,s2834,s918,s2832,s228,s3088,s3099,s3066,s858,s1179]) ).
cnf(s3101,plain,
( ~ spl0_342
| ~ spl0_175 ),
inference(rat,[],[s1932,s2106,s1572,s2176,s1179,s1165]) ).
cnf(s3102,plain,
( ~ spl0_277
| spl0_342
| spl0_416
| ~ spl0_6
| spl0_3 ),
inference(rat,[],[s2556,s1676,s951,s1645,s2247,s2934,s2017,s2757,s858,s3066]) ).
cnf(s3103,plain,
( ~ spl0_6
| spl0_27
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s3083,s2758,s13,s2399,s2715,s2177,s1603,s3102,s3101,s1793,s2271,s2376,s2314,s3067,s1233,s1618,s2058,s2757,s1008,s3068,s34,s2297,s2274,s1021,s472,s2312,s228,s2834,s918,s3088,s3099,s1741,s3100,s3066,s292]) ).
cnf(s3104,plain,
( spl0_27
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s2196,s1932,s2751,s1404,s1427,s2759,s2299,s1294,s2376,s874,s2112,s1566,s3083,s3079,s2657,s1831,s1825,s2626,s2758,s3,s2037,s3103,s1741,s3100,s2429,s2312,s2834,s228,s918,s1008,s3088,s3068,s3099,s34,s1179,s858,s3066]) ).
cnf(s3105,plain,
( ~ spl0_293
| ~ spl0_178
| ~ spl0_277
| spl0_167
| ~ spl0_27
| spl0_3 ),
inference(rat,[],[s2698,s1605,s1610,s1757,s2453,s1821,s2766,s1233,s2579,s2625,s1751,s161,s2764,s101,s465,s2132,s2240,s1532,s34,s1514,s1564,s68,s668,s1421,s3084,s1315,s667,s858,s3066]) ).
cnf(s3106,plain,
( ~ spl0_277
| spl0_167
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s2517,s975,s874,s3079,s1576,s1839,s1887,s2700,s2716,s1821,s1479,s1233,s1618,s2169,s1937,s3105,s2722,s2546,s3084,s2706,s949,s2488,s22,s63,s1094,s2751,s1564,s68,s668,s1427,s1514,s3104,s858,s3066,s1048]) ).
cnf(s3107,plain,
( ~ spl0_349
| ~ spl0_470
| spl0_357 ),
inference(rat,[],[s1618,s1740,s1575,s2718,s2657,s3066]) ).
cnf(s3108,plain,
( ~ spl0_293
| spl0_349
| ~ spl0_27 ),
inference(rat,[],[s2132,s2764,s1532,s1514,s668]) ).
cnf(s3109,plain,
( spl0_455
| spl0_277
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s2745,s1024,s2125,s2230,s2049,s1618,s2080,s1594,s1639,s22,s63,s2525,s874,s3079,s1603,s1094,s2751,s1564,s68,s668,s1427,s949,s1514,s3104,s3066,s858]) ).
cnf(s3110,plain,
( spl0_167
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s2517,s975,s3087,s1833,s2698,s1610,s1826,s2830,s1241,s2490,s3109,s1617,s1937,s3108,s3107,s874,s3079,s2657,s2282,s1603,s3106,s949,s1094,s2751,s1564,s68,s668,s1427,s1514,s3104,s1048,s858,s3066]) ).
cnf(s3111,plain,
( ~ spl0_455
| ~ spl0_196
| spl0_18 ),
inference(rat,[],[s1735,s2244,s2490,s2606,s3066]) ).
cnf(s3112,plain,
( ~ spl0_277
| ~ spl0_294
| spl0_3 ),
inference(rat,[],[s1946,s3108,s2169,s1751,s2706,s34,s1618,s3111,s2739,s1732,s2834,s918,s1427,s1514,s865,s1140,s2271,s2297,s472,s1824,s68,s668,s3104,s228,s3110,s858,s3066,s292]) ).
cnf(s3113,plain,
( ~ spl0_294
| spl0_3 ),
inference(rat,[],[s3109,s3112,s3111,s2739,s2271,s1732,s2297,s2834,s865,s228,s472,s918,s1140,s3110,s1824,s68,s1427,s668,s1514,s3104,s858,s292]) ).
cnf(s3114,plain,
( ~ spl0_6
| spl0_347
| spl0_27
| ~ spl0_277
| spl0_3 ),
inference(rat,[],[s1769,s1610,s2060,s2453,s2834,s2766,s3086,s2335,s2763,s2317,s29,s2711,s2017,s2884,s2001,s2757,s2706,s2490,s2579,s2625,s68,s3067,s1946,s2716,s1479,s1751,s2073,s34,s1921,s3113,s2546,s1071,s858,s1048,s3066]) ).
cnf(s3115,plain,
( spl0_167
| spl0_27
| ~ spl0_277
| spl0_3 ),
inference(rat,[],[s2552,s1011,s2453,s2498,s874,s1610,s1235,s978,s2698,s1259,s1605,s1538,s2830,s2711,s1008,s1885,s2713,s2043,s147,s2488,s2009,s2758,s1499,s3,s22,s2037,s3114,s1576,s2546,s3084,s2718,s104,s3067,s1233,s2579,s2625,s1627,s1946,s2716,s1479,s1751,s34,s1921,s3107,s1105,s2073,s3113,s858,s1071,s3066,s1048]) ).
cnf(s3116,plain,
( spl0_21
| ~ spl0_277
| spl0_3 ),
inference(rat,[],[s2884,s2037,s29,s2579,s2625,s68,s3067,s1946,s2716,s1479,s1751,s2073,s34,s1921,s3113,s3066,s858,s1048]) ).
cnf(s3117,plain,
( spl0_27
| ~ spl0_277
| spl0_3 ),
inference(rat,[],[s99,s1719,s38,s2832,s865,s2043,s228,s1140,s2758,s3115,s3111,s68,s3067,s1751,s2073,s34,s1921,s3113,s3116,s858,s1048,s3066]) ).
cnf(s3118,plain,
( spl0_167
| ~ spl0_277
| spl0_3 ),
inference(rat,[],[s1605,s2830,s2698,s1885,s1610,s1576,s2453,s2546,s3084,s3107,s1105,s1233,s2766,s1564,s68,s1946,s2716,s1479,s2579,s2625,s2488,s22,s63,s3117,s3067,s1751,s2073,s34,s1921,s3113,s1048,s3066,s858]) ).
cnf(s3119,plain,
( ~ spl0_277
| spl0_3 ),
inference(rat,[],[s2714,s1714,s1713,s1738,s1031,s2339,s2497,s2092,s1248,s865,s228,s472,s1140,s3118,s161,s101,s825,s2132,s22,s1315,s1532,s1824,s63,s667,s1514,s3117,s1627,s1946,s2716,s68,s2579,s3111,s1479,s3067,s3107,s2625,s1751,s1105,s34,s2073,s1921,s3113,s1165,s858,s1048,s3066]) ).
cnf(s3120,plain,
( ~ spl0_37
| spl0_455
| spl0_27
| spl0_167
| spl0_3 ),
inference(rat,[],[s1315,s2959,s1254,s3086,s2597,s2830,s2038,s3075,s2759,s34,s1921,s2239,s1618,s2203,s1594,s1946,s1741,s3107,s1603,s2073,s3113,s3119,s858,s3066,s1048]) ).
cnf(s3121,plain,
( spl0_39
| ~ spl0_58
| ~ spl0_85
| ~ spl0_460
| ~ spl0_41
| ~ spl0_357 ),
inference(rat,[],[s2208,s1134,s1645,s1721,s2145,s99,s1259,s38,s1008,s951,s1684,s1538,s1093,s1946,s1741,s3066,s858]) ).
cnf(s3122,plain,
( spl0_455
| spl0_27
| spl0_167
| spl0_3 ),
inference(rat,[],[s2037,s2084,s2142,s2699,s3121,s68,s104,s3120,s2579,s1618,s3107,s1603,s3119,s2073,s3113,s3066,s858]) ).
cnf(s3123,plain,
( ~ spl0_150
| ~ spl0_455
| spl0_18 ),
inference(rat,[],[s2345,s2708,s2490,s3066]) ).
cnf(s3124,plain,
( spl0_41
| spl0_155
| spl0_150
| ~ spl0_58
| spl0_27
| spl0_175 ),
inference(rat,[],[s2561,s29,s2758,s2497,s2913]) ).
cnf(s3125,plain,
( spl0_27
| spl0_167
| spl0_3 ),
inference(rat,[],[s214,s2060,s705,s2843,s2699,s2600,s2597,s301,s3123,s2202,s68,s3067,s3122,s1921,s1094,s2335,s2546,s2189,s1093,s2239,s1946,s1741,s3107,s1603,s3119,s2073,s3113,s858,s3066,s1048]) ).
cnf(s3126,plain,
( spl0_455
| ~ spl0_27
| spl0_3 ),
inference(rat,[],[s2496,s2756,s2830,s2579,s1221,s1777,s1618,s1594,s1741,s2546,s2189,s1656,s1315,s667,s1534,s22,s63,s1085,s3107,s1603,s3119,s2073,s3113,s3066,s858]) ).
cnf(s3127,plain,
( spl0_167
| spl0_3 ),
inference(rat,[],[s2698,s1605,s1786,s2597,s3123,s3126,s2132,s1499,s1532,s63,s668,s1514,s3125,s1921,s1082,s1946,s1741,s3107,s1603,s3119,s2073,s3113,s858,s3066,s1048]) ).
cnf(s3128,plain,
( spl0_455
| spl0_3 ),
inference(rat,[],[s301,s68,s2600,s2058,s2046,s2757,s3,s2683,s2564,s1618,s1594,s34,s1093,s2546,s2189,s2239,s1946,s1741,s3107,s1603,s3119,s2073,s3113,s918,s228,s3127,s3066,s858]) ).
cnf(s3129,plain,
spl0_3,
inference(rat,[],[s2037,s2083,s2142,s2699,s2600,s2579,s301,s3124,s68,s3067,s3128,s1558,s2535,s2834,s865,s228,s918,s1140,s3127,s2239,s2335,s1946,s2546,s1093,s1741,s2189,s3107,s1603,s3119,s1921,s2073,s3113,s3066,s858,s1048]) ).
cnf(s3132,plain,
spl0_371,
inference(rat,[],[s876,s3129]) ).
cnf(s3133,plain,
spl0_241,
inference(rat,[],[s471,s3129]) ).
cnf(s3134,plain,
~ spl0_167,
inference(rat,[],[s233,s3066,s3129]) ).
cnf(s3135,plain,
spl0_53,
inference(rat,[],[s59,s3129]) ).
cnf(s3136,plain,
~ spl0_18,
inference(rat,[],[s45,s3066,s3129]) ).
cnf(s3137,plain,
~ spl0_21,
inference(rat,[],[s35,s3129]) ).
cnf(s3139,plain,
~ spl0_208,
inference(rat,[],[s1206,s3135,s3129]) ).
cnf(s3141,plain,
~ spl0_175,
inference(rat,[],[s250,s3135,s3129]) ).
cnf(s3143,plain,
~ spl0_436,
inference(rat,[],[s1350,s3133,s3129]) ).
cnf(s3144,plain,
~ spl0_333,
inference(rat,[],[s827,s3133,s3129]) ).
cnf(s3145,plain,
~ spl0_27,
inference(rat,[],[s64,s3066,s3129]) ).
cnf(s3147,plain,
spl0_30,
inference(rat,[],[s29,s3137]) ).
cnf(s3153,plain,
( ~ spl0_293
| ~ spl0_294
| spl0_357
| ~ spl0_37
| spl0_455 ),
inference(rat,[],[s249,s2585,s648,s629,s628,s32,s3046,s2576,s2586,s2699,s1008,s3001,s2755,s2716,s1210,s2751,s1427,s1294,s2715,s2718,s2113,s2764,s101,s2454,s2076,s3145,s3129,s3147,s3136,s3139,s3132]) ).
cnf(s3154,plain,
( ~ spl0_294
| spl0_357
| ~ spl0_37
| spl0_455 ),
inference(rat,[],[s1427,s2751,s1294,s1210,s1430,s2716,s1937,s3153,s2759,s3139,s3136,s1048]) ).
cnf(s3155,plain,
( ~ spl0_39
| ~ spl0_83
| ~ spl0_356 ),
inference(rat,[],[s249,s2585,s648,s629,s628,s32,s3046,s2576,s2586,s2699,s3145,s3129,s3147]) ).
cnf(s3156,plain,
( ~ spl0_157
| ~ spl0_207
| spl0_294
| ~ spl0_37 ),
inference(rat,[],[s1315,s1421,s2701,s1426,s1368,s2707,s858,s3134]) ).
cnf(s3157,plain,
( ~ spl0_293
| spl0_357
| ~ spl0_37
| spl0_455 ),
inference(rat,[],[s2959,s1315,s1282,s1254,s2708,s2597,s2830,s3156,s2240,s3155,s101,s2454,s2076,s2759,s2718,s2073,s3154,s3141,s858,s3136,s3139,s3132]) ).
cnf(s3158,plain,
( ~ spl0_299
| ~ spl0_197 ),
inference(rat,[],[s1000,s993,s3145]) ).
cnf(s3159,plain,
( ~ spl0_157
| spl0_372
| spl0_294
| ~ spl0_37 ),
inference(rat,[],[s1282,s2708,s2735,s1361,s2546,s1426,s3156,s2707,s3136,s3143,s3129,s3132,s3134]) ).
cnf(s3160,plain,
( spl0_357
| ~ spl0_37
| spl0_455 ),
inference(rat,[],[s2959,s1315,s1282,s1254,s2708,s2597,s2830,s3159,s1208,s1008,s3155,s101,s108,s731,s105,s32,s628,s3158,s1210,s2716,s150,s1937,s2596,s3157,s2718,s2073,s3154,s2759,s3141,s858,s3136,s3129,s3147,s1048]) ).
cnf(s3169,plain,
( spl0_60
| ~ spl0_37 ),
inference(rat,[],[s2759,s3136]) ).
cnf(s3190,plain,
( ~ spl0_39
| spl0_61 ),
inference(rat,[],[s2699,s3145]) ).
cnf(s3234,plain,
( spl0_164
| ~ spl0_155 ),
inference(rat,[],[s2585,s3145]) ).
cnf(s3360,plain,
( spl0_207
| spl0_39
| ~ spl0_293 ),
inference(rat,[],[s2240,s3139]) ).
cnf(s3369,plain,
( ~ spl0_82
| ~ spl0_293
| spl0_277 ),
inference(rat,[],[s2203,s3135]) ).
cnf(s3465,plain,
( spl0_197
| spl0_293 ),
inference(rat,[],[s1946,s858]) ).
cnf(s3717,plain,
( spl0_324
| spl0_325 ),
inference(rat,[],[s951,s858]) ).
cnf(s3742,plain,
( spl0_367
| spl0_372
| ~ spl0_324 ),
inference(rat,[],[s873,s3132,s3129]) ).
cnf(s3779,plain,
( ~ spl0_32
| spl0_299 ),
inference(rat,[],[s628,s3147,s3129]) ).
cnf(s3893,plain,
( ~ spl0_82
| spl0_37 ),
inference(rat,[],[s106,s3147,s3129]) ).
cnf(s3898,plain,
( spl0_29
| ~ spl0_43 ),
inference(rat,[],[s92,s3147,s3129]) ).
cnf(s3907,plain,
( spl0_62
| ~ spl0_46 ),
inference(rat,[],[s74,s3136]) ).
cnf(s3908,plain,
( spl0_46
| ~ spl0_52 ),
inference(rat,[],[s73,s3135,s3129]) ).
cnf(s3924,plain,
( ~ spl0_16
| spl0_35 ),
inference(rat,[],[s36,s3145]) ).
cnf(s3929,plain,
( spl0_150
| ~ spl0_39
| spl0_43
| spl0_82 ),
inference(rat,[],[s2843,s3134]) ).
cnf(s3994,plain,
( ~ spl0_62
| ~ spl0_46 ),
inference(rat,[],[s3043,s3144]) ).
cnf(s3996,plain,
( spl0_37
| ~ spl0_293
| ~ spl0_294 ),
inference(rat,[],[s3047,s3129,s3145]) ).
cnf(s3997,plain,
( ~ spl0_39
| spl0_37
| ~ spl0_197
| spl0_155
| ~ spl0_294 ),
inference(rat,[],[s3051,s3129,s3145,s3134]) ).
cnf(s3999,plain,
( ~ spl0_61
| spl0_155
| ~ spl0_39
| spl0_37
| spl0_294 ),
inference(rat,[],[s3058,s3129,s3134]) ).
cnf(s4000,plain,
( ~ spl0_455
| ~ spl0_37 ),
inference(rat,[],[s3067,s3136]) ).
cnf(s4009,plain,
( ~ spl0_39
| ~ spl0_35
| spl0_82
| spl0_43
| ~ spl0_60 ),
inference(rat,[],[s2658,s1257,s150,s242,s3929,s149,s41]) ).
cnf(s4010,plain,
( ~ spl0_37
| spl0_455 ),
inference(rat,[],[s1404,s3742,s1216,s1208,s3360,s1008,s4009,s3924,s32,s3369,s3779,s3898,s3717,s3465,s931,s1085,s1094,s1105,s1684,s1741,s3160,s3169]) ).
cnf(s4011,plain,
~ spl0_46,
inference(rat,[],[s3907,s3994]) ).
cnf(s4012,plain,
~ spl0_52,
inference(rat,[],[s3908,s4011]) ).
cnf(s4017,plain,
( ~ spl0_155
| spl0_37 ),
inference(rat,[],[s249,s705,s3234,s101,s3893,s3190,s38,s99,s68,s4012]) ).
cnf(s4018,plain,
( spl0_155
| ~ spl0_294
| spl0_37
| ~ spl0_39 ),
inference(rat,[],[s890,s3996,s3997]) ).
cnf(s4019,plain,
( spl0_155
| ~ spl0_61
| ~ spl0_39
| spl0_37 ),
inference(rat,[],[s4018,s3999]) ).
cnf(s4020,plain,
spl0_37,
inference(rat,[],[s4019,s4017,s3190,s38,s99,s68,s4012]) ).
cnf(s4025,plain,
~ spl0_455,
inference(rat,[],[s4000,s4020]) ).
cnf(s4028,plain,
$false,
inference(rat,[],[s4010,s4025,s4020]) ).
thf(f32474,plain,
$false,
inference(avatar_sat_refutation,[],[s4028]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA146^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 18:59:37 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.41 % (754219)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.67/0.41 % (754224)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2490238350:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.67/0.41 % (754228)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1918412104:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.67/0.41 % (754227)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=2128865309:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.67/0.41 % (754225)lrs+10_16_si=on:nwc=1.5:random_seed=3118000815:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.67/0.41 % (754226)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=919530162:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.67/0.41 % (754226)Instruction limit reached!
% 0.67/0.41 % (754226)------------------------------
% 0.67/0.41 % (754226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.41 % (754226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.41 % (754226)CaDiCaL version: 2.1.3
% 0.67/0.41 % (754226)Termination reason: Instruction limit
% 0.67/0.41 % (754226)Termination phase: Saturation
% 0.67/0.41 % (754226)Time elapsed: 0.003 s
% 0.67/0.41 % (754226)Peak memory usage: 12 MB
% 0.67/0.41 % (754226)Instructions burned: 4 (million)
% 0.67/0.41 % (754225)Instruction limit reached!
% 0.67/0.41 % (754225)------------------------------
% 0.67/0.41 % (754225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.41 % (754225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.41 % (754225)CaDiCaL version: 2.1.3
% 0.67/0.41 % (754225)Termination reason: Instruction limit
% 0.67/0.41 % (754225)Termination phase: Saturation
% 0.67/0.41 % (754225)Time elapsed: 0.010 s
% 0.67/0.41 % (754225)Peak memory usage: 12 MB
% 0.67/0.41 % (754225)Instructions burned: 19 (million)
% 0.67/0.41 % (754230)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.67/0.41 % (754230)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.67/0.41 % (754228)Instruction limit reached!
% 0.67/0.41 % (754228)------------------------------
% 0.67/0.41 % (754228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.41 % (754228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.41 % (754228)CaDiCaL version: 2.1.3
% 0.67/0.41 % (754228)Termination reason: Instruction limit
% 0.67/0.41 % (754228)Termination phase: Saturation
% 0.67/0.41 % (754228)Time elapsed: 0.012 s
% 0.67/0.41 % (754228)Peak memory usage: 11 MB
% 0.67/0.41 % (754228)Instructions burned: 24 (million)
% 0.67/0.41 % (754230)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=4294231490:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.67/0.41 % (754229)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1631525589:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.67/0.41 % (754238)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.41 % (754236)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2284629707:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.67/0.41 % (754237)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=37292861:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.67/0.41 % (754238)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3569163332:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.67/0.41 % (754236)Instruction limit reached!
% 0.67/0.41 % (754236)------------------------------
% 0.67/0.41 % (754236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (754236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (754236)CaDiCaL version: 2.1.3
% 0.67/0.44 % (754236)Termination reason: Instruction limit
% 0.67/0.44 % (754236)Termination phase: Saturation
% 0.67/0.44 % (754236)Time elapsed: 0.002 s
% 0.67/0.44 % (754236)Peak memory usage: 12 MB
% 0.67/0.44 % (754236)Instructions burned: 2 (million)
% 0.67/0.44 % (754224)Instruction limit reached!
% 0.67/0.44 % (754224)------------------------------
% 0.67/0.44 % (754224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (754224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (754224)CaDiCaL version: 2.1.3
% 0.67/0.44 % (754224)Termination reason: Instruction limit
% 0.67/0.44 % (754224)Termination phase: Saturation
% 0.67/0.44 % (754224)Time elapsed: 0.033 s
% 0.67/0.44 % (754224)Peak memory usage: 12 MB
% 0.67/0.44 % (754224)Instructions burned: 90 (million)
% 0.67/0.44 % (754237)Instruction limit reached!
% 0.67/0.44 % (754237)------------------------------
% 0.67/0.44 % (754237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (754237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (754237)CaDiCaL version: 2.1.3
% 0.67/0.44 % (754237)Termination reason: Instruction limit
% 0.67/0.44 % (754237)Termination phase: Saturation
% 0.67/0.44 % (754237)Time elapsed: 0.004 s
% 0.67/0.44 % (754237)Peak memory usage: 11 MB
% 0.67/0.44 % (754237)Instructions burned: 6 (million)
% 0.67/0.44 % (754238)Instruction limit reached!
% 0.67/0.44 % (754238)------------------------------
% 0.67/0.44 % (754238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (754238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (754238)CaDiCaL version: 2.1.3
% 0.67/0.44 % (754238)Termination reason: Instruction limit
% 0.67/0.44 % (754238)Termination phase: Saturation
% 0.67/0.44 % (754238)Time elapsed: 0.005 s
% 0.67/0.44 % (754238)Peak memory usage: 12 MB
% 0.67/0.44 % (754238)Instructions burned: 7 (million)
% 0.67/0.44 % (754246)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=3850753411:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.67/0.44 % (754245)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.67/0.44 % (754245)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.67/0.44 % (754229)Instruction limit reached!
% 0.67/0.44 % (754229)------------------------------
% 0.67/0.44 % (754229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (754229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (754229)CaDiCaL version: 2.1.3
% 0.67/0.44 % (754229)Termination reason: Instruction limit
% 0.67/0.44 % (754229)Termination phase: Saturation
% 0.67/0.44 % (754229)Time elapsed: 0.045 s
% 0.67/0.44 % (754229)Peak memory usage: 12 MB
% 0.67/0.44 % (754229)Instructions burned: 77 (million)
% 0.67/0.44 % (754245)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3349579835:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.67/0.44 % (754247)lrs+10_1_si=on:cs=on:random_seed=825981642:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.67/0.44 % (754244)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=444451333:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.67/0.44 % (754249)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.67/0.44 % (754247)Instruction limit reached!
% 0.67/0.44 % (754247)------------------------------
% 0.67/0.44 % (754247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.44 % (754247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.44 % (754247)CaDiCaL version: 2.1.3
% 0.67/0.44 % (754247)Termination reason: Instruction limit
% 0.67/0.44 % (754247)Termination phase: Saturation
% 0.67/0.44 % (754247)Time elapsed: 0.008 s
% 0.67/0.44 % (754247)Peak memory usage: 12 MB
% 0.67/0.44 % (754247)Instructions burned: 8 (million)
% 0.67/0.47 % (754249)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=1391373823:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.67/0.47 % (754244)Instruction limit reached!
% 0.67/0.47 % (754244)------------------------------
% 0.67/0.47 % (754244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.47 % (754244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.47 % (754244)CaDiCaL version: 2.1.3
% 0.67/0.47 % (754244)Termination reason: Instruction limit
% 0.67/0.47 % (754244)Termination phase: Saturation
% 0.67/0.47 % (754244)Time elapsed: 0.012 s
% 0.67/0.47 % (754244)Peak memory usage: 12 MB
% 0.67/0.47 % (754244)Instructions burned: 13 (million)
% 0.67/0.47 % (754249)Instruction limit reached!
% 0.67/0.47 % (754249)------------------------------
% 0.67/0.47 % (754249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.47 % (754249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.47 % (754249)CaDiCaL version: 2.1.3
% 0.67/0.47 % (754249)Termination reason: Instruction limit
% 0.67/0.47 % (754249)Termination phase: Saturation
% 0.67/0.47 % (754249)Time elapsed: 0.003 s
% 0.67/0.47 % (754249)Peak memory usage: 11 MB
% 0.67/0.47 % (754249)Instructions burned: 6 (million)
% 0.67/0.47 % (754230)Instruction limit reached!
% 0.67/0.47 % (754230)------------------------------
% 0.67/0.47 % (754230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.47 % (754230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.47 % (754230)CaDiCaL version: 2.1.3
% 0.67/0.47 % (754230)Termination reason: Instruction limit
% 0.67/0.47 % (754230)Termination phase: Saturation
% 0.67/0.47 % (754230)Time elapsed: 0.071 s
% 0.67/0.47 % (754230)Peak memory usage: 12 MB
% 0.67/0.47 % (754230)Instructions burned: 159 (million)
% 0.67/0.47 % (754246)Instruction limit reached!
% 0.67/0.47 % (754246)------------------------------
% 0.67/0.47 % (754246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.47 % (754246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.47 % (754246)CaDiCaL version: 2.1.3
% 0.67/0.47 % (754246)Termination reason: Instruction limit
% 0.67/0.47 % (754246)Termination phase: Saturation
% 0.67/0.47 % (754246)Time elapsed: 0.042 s
% 0.67/0.47 % (754246)Peak memory usage: 12 MB
% 0.67/0.47 % (754246)Instructions burned: 88 (million)
% 0.67/0.47 % (754253)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2644766774:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.67/0.47 % (754253)Refutation not found, incomplete strategy
% 0.67/0.47 % (754253)------------------------------
% 0.67/0.47 % (754253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.47 % (754253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.47 % (754253)CaDiCaL version: 2.1.3
% 0.67/0.47 % (754253)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.47 % (754253)Time elapsed: 0.001 s
% 0.67/0.47 % (754253)Peak memory usage: 11 MB
% 0.67/0.47 % (754245)Instruction limit reached!
% 0.67/0.47 % (754245)------------------------------
% 0.67/0.47 % (754245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.67/0.47 % (754245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.67/0.47 % (754245)CaDiCaL version: 2.1.3
% 0.67/0.47 % (754245)Termination reason: Instruction limit
% 0.67/0.47 % (754245)Termination phase: Saturation
% 0.67/0.47 % (754245)Time elapsed: 0.032 s
% 0.67/0.47 % (754245)Peak memory usage: 12 MB
% 0.67/0.47 % (754245)Instructions burned: 28 (million)
% 0.67/0.47 % (754253)------------------------------
% 0.67/0.47 % (754253)------------------------------
% 0.67/0.47 % (754258)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1205220222:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.67/0.47 % (754259)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3637750386:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.67/0.47 % (754256)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1313644097:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.67/0.47 % (754259)Refutation not found, incomplete strategy
% 0.67/0.47 % (754259)------------------------------
% 1.19/0.52 % (754259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.52 % (754259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.52 % (754259)CaDiCaL version: 2.1.3
% 1.19/0.52 % (754259)Termination reason: Refutation not found, incomplete strategy
% 1.19/0.52 % (754259)Time elapsed: 0.001 s
% 1.19/0.52 % (754259)Peak memory usage: 11 MB
% 1.19/0.52 % (754256)Refutation not found, incomplete strategy
% 1.19/0.52 % (754256)------------------------------
% 1.19/0.52 % (754256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.52 % (754256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.52 % (754256)CaDiCaL version: 2.1.3
% 1.19/0.52 % (754256)Termination reason: Refutation not found, incomplete strategy
% 1.19/0.52 % (754256)Time elapsed: 0.0000 s
% 1.19/0.52 % (754256)Peak memory usage: 11 MB
% 1.19/0.52 % (754259)------------------------------
% 1.19/0.52 % (754259)------------------------------
% 1.19/0.52 % (754256)------------------------------
% 1.19/0.52 % (754256)------------------------------
% 1.19/0.52 % (754258)Instruction limit reached!
% 1.19/0.52 % (754258)------------------------------
% 1.19/0.52 % (754258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.52 % (754258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.52 % (754258)CaDiCaL version: 2.1.3
% 1.19/0.52 % (754258)Termination reason: Instruction limit
% 1.19/0.52 % (754258)Termination phase: Saturation
% 1.19/0.52 % (754258)Time elapsed: 0.009 s
% 1.19/0.52 % (754258)Peak memory usage: 12 MB
% 1.19/0.52 % (754258)Instructions burned: 16 (million)
% 1.19/0.52 % (754255)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=347865234:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.19/0.52 % (754255)Refutation not found, incomplete strategy
% 1.19/0.52 % (754255)------------------------------
% 1.19/0.52 % (754255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.52 % (754255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.52 % (754255)CaDiCaL version: 2.1.3
% 1.19/0.52 % (754255)Termination reason: Refutation not found, incomplete strategy
% 1.19/0.52 % (754255)Time elapsed: 0.0000 s
% 1.19/0.52 % (754255)Peak memory usage: 11 MB
% 1.19/0.52 % (754255)------------------------------
% 1.19/0.52 % (754255)------------------------------
% 1.19/0.52 % (754262)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4174905578:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.19/0.52 % (754262)Refutation not found, incomplete strategy
% 1.19/0.52 % (754262)------------------------------
% 1.19/0.52 % (754262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.52 % (754262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.52 % (754262)CaDiCaL version: 2.1.3
% 1.19/0.52 % (754262)Termination reason: Refutation not found, incomplete strategy
% 1.19/0.52 % (754262)Time elapsed: 0.001 s
% 1.19/0.52 % (754262)Peak memory usage: 11 MB
% 1.19/0.52 % (754262)------------------------------
% 1.19/0.52 % (754262)------------------------------
% 1.19/0.52 % (754261)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2784285101:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.19/0.52 % (754261)Instruction limit reached!
% 1.19/0.52 % (754261)------------------------------
% 1.19/0.52 % (754261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.52 % (754261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.52 % (754261)CaDiCaL version: 2.1.3
% 1.19/0.52 % (754261)Termination reason: Instruction limit
% 1.19/0.52 % (754261)Termination phase: Saturation
% 1.19/0.52 % (754261)Time elapsed: 0.008 s
% 1.19/0.52 % (754261)Peak memory usage: 12 MB
% 1.19/0.52 % (754261)Instructions burned: 16 (million)
% 1.19/0.52 % (754273)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.19/0.52 % (754271)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.19/0.52 % (754271)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.19/0.56 % (754267)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2825395319:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.19/0.56 % (754273)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=580693083:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.19/0.56 % (754266)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=601937192:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.19/0.56 % (754273)Instruction limit reached!
% 1.19/0.56 % (754273)------------------------------
% 1.19/0.56 % (754273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.56 % (754273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.56 % (754273)CaDiCaL version: 2.1.3
% 1.19/0.56 % (754273)Termination reason: Instruction limit
% 1.19/0.56 % (754273)Termination phase: Saturation
% 1.19/0.56 % (754273)Time elapsed: 0.005 s
% 1.19/0.56 % (754273)Peak memory usage: 11 MB
% 1.19/0.56 % (754273)Instructions burned: 8 (million)
% 1.19/0.56 % (754271)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=1650881499:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.19/0.56 % (754270)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1949183533:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.19/0.56 % (754277)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=3251718739:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.19/0.56 % (754267)Instruction limit reached!
% 1.19/0.56 % (754267)------------------------------
% 1.19/0.56 % (754267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.56 % (754267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.56 % (754267)CaDiCaL version: 2.1.3
% 1.19/0.56 % (754267)Termination reason: Instruction limit
% 1.19/0.56 % (754267)Termination phase: Saturation
% 1.19/0.56 % (754267)Time elapsed: 0.017 s
% 1.19/0.56 % (754267)Peak memory usage: 11 MB
% 1.19/0.56 % (754267)Instructions burned: 24 (million)
% 1.19/0.56 % (754282)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=31999676:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.19/0.56 % (754271)Instruction limit reached!
% 1.19/0.56 % (754271)------------------------------
% 1.19/0.56 % (754271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.56 % (754271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.56 % (754271)CaDiCaL version: 2.1.3
% 1.19/0.56 % (754271)Termination reason: Instruction limit
% 1.19/0.56 % (754271)Termination phase: Saturation
% 1.19/0.56 % (754271)Time elapsed: 0.020 s
% 1.19/0.56 % (754271)Peak memory usage: 12 MB
% 1.19/0.56 % (754271)Instructions burned: 14 (million)
% 1.19/0.56 % (754266)Instruction limit reached!
% 1.19/0.56 % (754266)------------------------------
% 1.19/0.56 % (754266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.56 % (754266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.56 % (754266)CaDiCaL version: 2.1.3
% 1.19/0.56 % (754266)Termination reason: Instruction limit
% 1.19/0.56 % (754266)Termination phase: Saturation
% 1.19/0.56 % (754266)Time elapsed: 0.027 s
% 1.19/0.56 % (754266)Peak memory usage: 12 MB
% 1.19/0.56 % (754266)Instructions burned: 26 (million)
% 1.19/0.56 % (754282)Instruction limit reached!
% 1.19/0.56 % (754282)------------------------------
% 1.19/0.56 % (754282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.19/0.56 % (754282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.19/0.56 % (754282)CaDiCaL version: 2.1.3
% 1.19/0.56 % (754282)Termination reason: Instruction limit
% 1.19/0.56 % (754282)Termination phase: Saturation
% 1.19/0.56 % (754282)Time elapsed: 0.005 s
% 1.19/0.56 % (754282)Peak memory usage: 12 MB
% 1.19/0.56 % (754282)Instructions burned: 9 (million)
% 1.19/0.56 % (754277)Instruction limit reached!
% 1.19/0.56 % (754277)------------------------------
% 1.19/0.56 % (754277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (754277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (754277)CaDiCaL version: 2.1.3
% 1.92/0.62 % (754277)Termination reason: Instruction limit
% 1.92/0.62 % (754277)Termination phase: Saturation
% 1.92/0.62 % (754277)Time elapsed: 0.017 s
% 1.92/0.62 % (754277)Peak memory usage: 12 MB
% 1.92/0.62 % (754277)Instructions burned: 32 (million)
% 1.92/0.62 % (754288)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1530916128:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.92/0.62 % (754286)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3340786010:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.92/0.62 % (754289)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1350396032:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.92/0.62 % (754290)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2006949897:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.92/0.62 % (754270)Instruction limit reached!
% 1.92/0.62 % (754270)------------------------------
% 1.92/0.62 % (754270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (754270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (754270)CaDiCaL version: 2.1.3
% 1.92/0.62 % (754270)Termination reason: Instruction limit
% 1.92/0.62 % (754270)Termination phase: Saturation
% 1.92/0.62 % (754270)Time elapsed: 0.043 s
% 1.92/0.62 % (754270)Peak memory usage: 12 MB
% 1.92/0.62 % (754270)Instructions burned: 60 (million)
% 1.92/0.62 % (754290)Refutation not found, incomplete strategy
% 1.92/0.62 % (754290)------------------------------
% 1.92/0.62 % (754290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (754290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (754290)CaDiCaL version: 2.1.3
% 1.92/0.62 % (754290)Termination reason: Refutation not found, incomplete strategy
% 1.92/0.62 % (754290)Time elapsed: 0.001 s
% 1.92/0.62 % (754290)Peak memory usage: 11 MB
% 1.92/0.62 % (754290)------------------------------
% 1.92/0.62 % (754290)------------------------------
% 1.92/0.62 % (754286)Instruction limit reached!
% 1.92/0.62 % (754286)------------------------------
% 1.92/0.62 % (754286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (754286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (754286)CaDiCaL version: 2.1.3
% 1.92/0.62 % (754286)Termination reason: Instruction limit
% 1.92/0.62 % (754286)Termination phase: Saturation
% 1.92/0.62 % (754286)Time elapsed: 0.011 s
% 1.92/0.62 % (754286)Peak memory usage: 11 MB
% 1.92/0.62 % (754286)Instructions burned: 25 (million)
% 1.92/0.62 % (754287)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1275086105:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.92/0.62 % (754296)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.92/0.62 % (754295)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=932559510:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.92/0.62 % (754296)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2164000788:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.92/0.62 % (754296)Instruction limit reached!
% 1.92/0.62 % (754296)------------------------------
% 1.92/0.62 % (754296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.92/0.62 % (754296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.92/0.62 % (754296)CaDiCaL version: 2.1.3
% 1.92/0.62 % (754296)Termination reason: Instruction limit
% 1.92/0.62 % (754296)Termination phase: Saturation
% 1.92/0.62 % (754296)Time elapsed: 0.005 s
% 1.92/0.62 % (754296)Peak memory usage: 12 MB
% 1.92/0.62 % (754296)Instructions burned: 9 (million)
% 1.92/0.62 % (754297)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1358032865:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.92/0.62 % (754297)Refutation not found, incomplete strategy
% 1.92/0.62 % (754297)------------------------------
% 2.25/0.71 % (754297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.71 % (754297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.71 % (754297)CaDiCaL version: 2.1.3
% 2.25/0.71 % (754297)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.71 % (754297)Time elapsed: 0.001 s
% 2.25/0.71 % (754297)Peak memory usage: 11 MB
% 2.25/0.71 % (754297)------------------------------
% 2.25/0.71 % (754297)------------------------------
% 2.25/0.71 % (754287)Instruction limit reached!
% 2.25/0.71 % (754287)------------------------------
% 2.25/0.71 % (754287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.71 % (754287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.71 % (754287)CaDiCaL version: 2.1.3
% 2.25/0.71 % (754287)Termination reason: Instruction limit
% 2.25/0.71 % (754287)Termination phase: Saturation
% 2.25/0.71 % (754287)Time elapsed: 0.020 s
% 2.25/0.71 % (754287)Peak memory usage: 12 MB
% 2.25/0.71 % (754287)Instructions burned: 21 (million)
% 2.25/0.71 % (754295)Instruction limit reached!
% 2.25/0.71 % (754295)------------------------------
% 2.25/0.71 % (754295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.71 % (754295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.71 % (754295)CaDiCaL version: 2.1.3
% 2.25/0.71 % (754295)Termination reason: Instruction limit
% 2.25/0.71 % (754295)Termination phase: Saturation
% 2.25/0.71 % (754295)Time elapsed: 0.018 s
% 2.25/0.71 % (754295)Peak memory usage: 12 MB
% 2.25/0.71 % (754295)Instructions burned: 43 (million)
% 2.25/0.71 % (754301)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=1831253693:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.25/0.71 % (754301)Refutation not found, incomplete strategy
% 2.25/0.71 % (754301)------------------------------
% 2.25/0.71 % (754301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.71 % (754301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.71 % (754301)CaDiCaL version: 2.1.3
% 2.25/0.71 % (754301)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.71 % (754301)Time elapsed: 0.001 s
% 2.25/0.71 % (754301)Peak memory usage: 11 MB
% 2.25/0.71 % (754301)------------------------------
% 2.25/0.71 % (754301)------------------------------
% 2.25/0.71 % (754303)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.25/0.71 % (754303)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3510876139:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.25/0.71 % (754303)Refutation not found, incomplete strategy
% 2.25/0.71 % (754303)------------------------------
% 2.25/0.71 % (754303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.71 % (754303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.71 % (754303)CaDiCaL version: 2.1.3
% 2.25/0.71 % (754303)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.71 % (754303)Time elapsed: 0.001 s
% 2.25/0.71 % (754303)Peak memory usage: 11 MB
% 2.25/0.71 % (754303)Instructions burned: 1 (million)
% 2.25/0.71 % (754289)Instruction limit reached!
% 2.25/0.71 % (754289)------------------------------
% 2.25/0.71 % (754289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.71 % (754289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.71 % (754289)CaDiCaL version: 2.1.3
% 2.25/0.71 % (754289)Termination reason: Instruction limit
% 2.25/0.71 % (754289)Termination phase: Saturation
% 2.25/0.71 % (754289)Time elapsed: 0.058 s
% 2.25/0.71 % (754289)Peak memory usage: 12 MB
% 2.25/0.71 % (754289)Instructions burned: 143 (million)
% 2.25/0.71 % (754303)------------------------------
% 2.25/0.71 % (754303)------------------------------
% 2.25/0.71 % (754304)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2421271493:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.25/0.71 % (754307)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=1854236298:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.25/0.76 % (754305)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3048638157:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.25/0.76 % (754309)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=4197021156:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.25/0.76 % (754305)Refutation not found, incomplete strategy
% 2.25/0.76 % (754305)------------------------------
% 2.25/0.76 % (754305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.76 % (754305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.76 % (754305)CaDiCaL version: 2.1.3
% 2.25/0.76 % (754305)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.76 % (754305)Time elapsed: 0.006 s
% 2.25/0.76 % (754305)Peak memory usage: 12 MB
% 2.25/0.76 % (754305)Instructions burned: 2 (million)
% 2.25/0.76 % (754305)------------------------------
% 2.25/0.76 % (754305)------------------------------
% 2.25/0.76 % (754304)Instruction limit reached!
% 2.25/0.76 % (754304)------------------------------
% 2.25/0.76 % (754304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.76 % (754304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.76 % (754304)CaDiCaL version: 2.1.3
% 2.25/0.76 % (754304)Termination reason: Instruction limit
% 2.25/0.76 % (754304)Termination phase: Saturation
% 2.25/0.76 % (754304)Time elapsed: 0.021 s
% 2.25/0.76 % (754304)Peak memory usage: 12 MB
% 2.25/0.76 % (754304)Instructions burned: 24 (million)
% 2.25/0.76 % (754227)Instruction limit reached!
% 2.25/0.76 % (754227)------------------------------
% 2.25/0.76 % (754227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.76 % (754227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.76 % (754227)CaDiCaL version: 2.1.3
% 2.25/0.76 % (754227)Termination reason: Instruction limit
% 2.25/0.76 % (754227)Termination phase: Saturation
% 2.25/0.76 % (754227)Time elapsed: 0.295 s
% 2.25/0.76 % (754227)Peak memory usage: 13 MB
% 2.25/0.76 % (754227)Instructions burned: 635 (million)
% 2.25/0.76 % (754315)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1687712058:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.25/0.76 % (754311)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=3547229498:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.25/0.76 % (754316)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=551116120:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.25/0.76 % (754315)Refutation not found, incomplete strategy
% 2.25/0.76 % (754315)------------------------------
% 2.25/0.76 % (754315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.76 % (754315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.76 % (754315)CaDiCaL version: 2.1.3
% 2.25/0.76 % (754315)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.76 % (754315)Time elapsed: 0.005 s
% 2.25/0.76 % (754315)Peak memory usage: 11 MB
% 2.25/0.76 % (754315)Instructions burned: 1 (million)
% 2.25/0.76 % (754315)------------------------------
% 2.25/0.76 % (754315)------------------------------
% 2.25/0.76 % (754316)Instruction limit reached!
% 2.25/0.76 % (754316)------------------------------
% 2.25/0.76 % (754316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.76 % (754316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.25/0.76 % (754316)CaDiCaL version: 2.1.3
% 2.25/0.76 % (754316)Termination reason: Instruction limit
% 2.25/0.76 % (754316)Termination phase: Saturation
% 2.25/0.76 % (754316)Time elapsed: 0.012 s
% 2.25/0.76 % (754316)Peak memory usage: 12 MB
% 2.25/0.76 % (754316)Instructions burned: 21 (million)
% 2.25/0.76 % (754311)Instruction limit reached!
% 2.25/0.76 % (754311)------------------------------
% 2.25/0.76 % (754311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.25/0.76 % (754311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.81 % (754311)CaDiCaL version: 2.1.3
% 2.89/0.81 % (754311)Termination reason: Instruction limit
% 2.89/0.81 % (754311)Termination phase: Saturation
% 2.89/0.81 % (754311)Time elapsed: 0.026 s
% 2.89/0.81 % (754311)Peak memory usage: 12 MB
% 2.89/0.81 % (754311)Instructions burned: 46 (million)
% 2.89/0.81 % (754317)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.89/0.81 % (754317)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1030406077:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.89/0.81 % (754322)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=16150941:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.89/0.81 % (754321)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3649543817:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.89/0.81 % (754323)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=797589062:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.89/0.81 % (754323)Refutation not found, incomplete strategy
% 2.89/0.81 % (754323)------------------------------
% 2.89/0.81 % (754323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.81 % (754323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.81 % (754323)CaDiCaL version: 2.1.3
% 2.89/0.81 % (754323)Termination reason: Refutation not found, incomplete strategy
% 2.89/0.81 % (754323)Time elapsed: 0.001 s
% 2.89/0.81 % (754323)Peak memory usage: 11 MB
% 2.89/0.81 % (754323)Instructions burned: 1 (million)
% 2.89/0.81 % (754323)------------------------------
% 2.89/0.81 % (754323)------------------------------
% 2.89/0.81 % (754321)Instruction limit reached!
% 2.89/0.81 % (754321)------------------------------
% 2.89/0.81 % (754321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.81 % (754321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.81 % (754321)CaDiCaL version: 2.1.3
% 2.89/0.81 % (754321)Termination reason: Instruction limit
% 2.89/0.81 % (754321)Termination phase: Saturation
% 2.89/0.81 % (754321)Time elapsed: 0.009 s
% 2.89/0.81 % (754321)Peak memory usage: 12 MB
% 2.89/0.81 % (754321)Instructions burned: 15 (million)
% 2.89/0.81 % (754322)Instruction limit reached!
% 2.89/0.81 % (754322)------------------------------
% 2.89/0.81 % (754322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.81 % (754322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.81 % (754322)CaDiCaL version: 2.1.3
% 2.89/0.81 % (754322)Termination reason: Instruction limit
% 2.89/0.81 % (754322)Termination phase: Saturation
% 2.89/0.81 % (754322)Time elapsed: 0.032 s
% 2.89/0.81 % (754322)Peak memory usage: 12 MB
% 2.89/0.81 % (754322)Instructions burned: 68 (million)
% 2.89/0.81 % (754330)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=2946564745:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.89/0.81 % (754328)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3169351407:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.89/0.81 % (754329)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1359384528:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.89/0.81 % (754330)Instruction limit reached!
% 2.89/0.81 % (754330)------------------------------
% 2.89/0.81 % (754330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.81 % (754330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.81 % (754330)CaDiCaL version: 2.1.3
% 2.89/0.81 % (754330)Termination reason: Instruction limit
% 2.89/0.81 % (754330)Termination phase: Saturation
% 2.89/0.81 % (754330)Time elapsed: 0.018 s
% 2.89/0.81 % (754330)Peak memory usage: 12 MB
% 2.89/0.81 % (754330)Instructions burned: 34 (million)
% 2.89/0.81 % (754328)Instruction limit reached!
% 2.89/0.81 % (754328)------------------------------
% 2.89/0.81 % (754328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.81 % (754328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.87 % (754328)CaDiCaL version: 2.1.3
% 2.89/0.87 % (754328)Termination reason: Instruction limit
% 2.89/0.87 % (754328)Termination phase: Saturation
% 2.89/0.87 % (754328)Time elapsed: 0.033 s
% 2.89/0.87 % (754328)Peak memory usage: 12 MB
% 2.89/0.87 % (754328)Instructions burned: 32 (million)
% 2.89/0.87 % (754334)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=211700077:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 2.89/0.87 % (754334)Refutation not found, incomplete strategy
% 2.89/0.87 % (754334)------------------------------
% 2.89/0.87 % (754334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.87 % (754334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.87 % (754334)CaDiCaL version: 2.1.3
% 2.89/0.87 % (754334)Termination reason: Refutation not found, incomplete strategy
% 2.89/0.87 % (754334)Time elapsed: 0.001 s
% 2.89/0.87 % (754334)Peak memory usage: 11 MB
% 2.89/0.87 % (754334)Instructions burned: 1 (million)
% 2.89/0.87 % (754334)------------------------------
% 2.89/0.87 % (754334)------------------------------
% 2.89/0.87 % (754317)Instruction limit reached!
% 2.89/0.87 % (754317)------------------------------
% 2.89/0.87 % (754317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.87 % (754317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.87 % (754317)CaDiCaL version: 2.1.3
% 2.89/0.87 % (754317)Termination reason: Instruction limit
% 2.89/0.87 % (754317)Termination phase: Saturation
% 2.89/0.87 % (754317)Time elapsed: 0.092 s
% 2.89/0.87 % (754317)Peak memory usage: 12 MB
% 2.89/0.87 % (754317)Instructions burned: 203 (million)
% 2.89/0.87 % (754336)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.89/0.87 % (754336)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1149819389:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 2.89/0.87 % (754337)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=813412619:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 2.89/0.87 % (754307)Instruction limit reached!
% 2.89/0.87 % (754307)------------------------------
% 2.89/0.87 % (754307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.87 % (754307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.87 % (754307)CaDiCaL version: 2.1.3
% 2.89/0.87 % (754307)Termination reason: Instruction limit
% 2.89/0.87 % (754307)Termination phase: Saturation
% 2.89/0.87 % (754307)Time elapsed: 0.177 s
% 2.89/0.87 % (754307)Peak memory usage: 13 MB
% 2.89/0.87 % (754307)Instructions burned: 316 (million)
% 2.89/0.87 % (754337)Refutation not found, incomplete strategy
% 2.89/0.87 % (754337)------------------------------
% 2.89/0.87 % (754337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.87 % (754337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.87 % (754337)CaDiCaL version: 2.1.3
% 2.89/0.87 % (754337)Termination reason: Refutation not found, incomplete strategy
% 2.89/0.87 % (754337)Time elapsed: 0.001 s
% 2.89/0.87 % (754337)Peak memory usage: 11 MB
% 2.89/0.87 % (754337)------------------------------
% 2.89/0.87 % (754337)------------------------------
% 2.89/0.87 % (754341)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=250988708:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 2.89/0.87 % (754341)Refutation not found, incomplete strategy
% 2.89/0.87 % (754341)------------------------------
% 2.89/0.87 % (754341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.89/0.87 % (754341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.89/0.87 % (754341)CaDiCaL version: 2.1.3
% 2.89/0.87 % (754341)Termination reason: Refutation not found, incomplete strategy
% 2.89/0.87 % (754341)Time elapsed: 0.001 s
% 2.89/0.87 % (754341)Peak memory usage: 11 MB
% 2.89/0.87 % (754342)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3861250874:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 2.89/0.87 % (754338)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2576185333:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 2.89/0.87 % (754341)------------------------------
% 2.89/0.87 % (754341)------------------------------
% 2.89/0.87 % (754342)Refutation not found, incomplete strategy
% 3.46/0.94 % (754342)------------------------------
% 3.46/0.94 % (754342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.94 % (754342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.94 % (754342)CaDiCaL version: 2.1.3
% 3.46/0.94 % (754342)Termination reason: Refutation not found, incomplete strategy
% 3.46/0.94 % (754342)Time elapsed: 0.001 s
% 3.46/0.94 % (754342)Peak memory usage: 11 MB
% 3.46/0.94 % (754342)------------------------------
% 3.46/0.94 % (754342)------------------------------
% 3.46/0.94 % (754346)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1702918519:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/515Mi)
% 3.46/0.94 % (754347)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=80376322:st=1.5:i=130:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/130Mi)
% 3.46/0.94 % (754346)Refutation not found, incomplete strategy
% 3.46/0.94 % (754346)------------------------------
% 3.46/0.94 % (754346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.94 % (754346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.94 % (754346)CaDiCaL version: 2.1.3
% 3.46/0.94 % (754346)Termination reason: Refutation not found, incomplete strategy
% 3.46/0.94 % (754346)Time elapsed: 0.001 s
% 3.46/0.94 % (754346)Peak memory usage: 12 MB
% 3.46/0.94 % (754346)------------------------------
% 3.46/0.94 % (754346)------------------------------
% 3.46/0.94 % (754347)Refutation not found, incomplete strategy
% 3.46/0.94 % (754347)------------------------------
% 3.46/0.94 % (754347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.94 % (754347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.94 % (754347)CaDiCaL version: 2.1.3
% 3.46/0.94 % (754347)Termination reason: Refutation not found, incomplete strategy
% 3.46/0.94 % (754347)Time elapsed: 0.001 s
% 3.46/0.94 % (754347)Peak memory usage: 11 MB
% 3.46/0.94 % (754347)Instructions burned: 1 (million)
% 3.46/0.94 % (754347)------------------------------
% 3.46/0.94 % (754347)------------------------------
% 3.46/0.94 % (754329)Instruction limit reached!
% 3.46/0.94 % (754329)------------------------------
% 3.46/0.94 % (754329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.94 % (754329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.94 % (754329)CaDiCaL version: 2.1.3
% 3.46/0.94 % (754329)Termination reason: Instruction limit
% 3.46/0.94 % (754329)Termination phase: Saturation
% 3.46/0.94 % (754329)Time elapsed: 0.098 s
% 3.46/0.94 % (754329)Peak memory usage: 12 MB
% 3.46/0.94 % (754329)Instructions burned: 138 (million)
% 3.46/0.94 % (754350)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3169798693:i=44:ep=R:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/44Mi)
% 3.46/0.94 % (754351)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=1481794101:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.46/0.94 % (754352)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=106625645:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.46/0.94 % (754351)Refutation not found, incomplete strategy
% 3.46/0.94 % (754351)------------------------------
% 3.46/0.94 % (754351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.94 % (754351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.94 % (754351)CaDiCaL version: 2.1.3
% 3.46/0.94 % (754351)Termination reason: Refutation not found, incomplete strategy
% 3.46/0.94 % (754351)Time elapsed: 0.001 s
% 3.46/0.94 % (754351)Peak memory usage: 12 MB
% 3.46/0.94 % (754351)Instructions burned: 1 (million)
% 3.46/0.94 % (754351)------------------------------
% 3.46/0.94 % (754351)------------------------------
% 3.46/0.94 % (754336)Instruction limit reached!
% 3.46/0.94 % (754336)------------------------------
% 3.46/0.94 % (754336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/0.94 % (754336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/0.94 % (754336)CaDiCaL version: 2.1.3
% 3.46/0.94 % (754336)Termination reason: Instruction limit
% 3.46/0.94 % (754336)Termination phase: Saturation
% 3.46/0.94 % (754336)Time elapsed: 0.079 s
% 3.46/0.94 % (754336)Peak memory usage: 12 MB
% 3.46/1.03 % (754336)Instructions burned: 180 (million)
% 3.46/1.03 % (754350)Instruction limit reached!
% 3.46/1.03 % (754350)------------------------------
% 3.46/1.03 % (754350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/1.03 % (754350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.03 % (754350)CaDiCaL version: 2.1.3
% 3.46/1.03 % (754350)Termination reason: Instruction limit
% 3.46/1.03 % (754350)Termination phase: Saturation
% 3.46/1.03 % (754350)Time elapsed: 0.022 s
% 3.46/1.03 % (754350)Peak memory usage: 12 MB
% 3.46/1.03 % (754350)Instructions burned: 45 (million)
% 3.46/1.03 % (754356)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2850703237:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.46/1.03 % (754338)Instruction limit reached!
% 3.46/1.03 % (754338)------------------------------
% 3.46/1.03 % (754338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/1.03 % (754338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.03 % (754338)CaDiCaL version: 2.1.3
% 3.46/1.03 % (754338)Termination reason: Instruction limit
% 3.46/1.03 % (754338)Termination phase: Saturation
% 3.46/1.03 % (754338)Time elapsed: 0.068 s
% 3.46/1.03 % (754338)Peak memory usage: 12 MB
% 3.46/1.03 % (754338)Instructions burned: 96 (million)
% 3.46/1.03 % (754357)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=971067992:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.46/1.03 % (754358)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=1144506220:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2994 on theBenchmark for (2994ds/105Mi)
% 3.46/1.03 % (754360)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=4176976514:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2994 on theBenchmark for (2994ds/5755Mi)
% 3.46/1.03 % (754360)Refutation not found, incomplete strategy
% 3.46/1.03 % (754360)------------------------------
% 3.46/1.03 % (754360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/1.03 % (754360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.03 % (754360)CaDiCaL version: 2.1.3
% 3.46/1.03 % (754360)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.03 % (754360)Time elapsed: 0.001 s
% 3.46/1.03 % (754360)Peak memory usage: 12 MB
% 3.46/1.03 % (754360)------------------------------
% 3.46/1.03 % (754360)------------------------------
% 3.46/1.03 % (754356)Instruction limit reached!
% 3.46/1.03 % (754356)------------------------------
% 3.46/1.03 % (754356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/1.03 % (754356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.03 % (754356)CaDiCaL version: 2.1.3
% 3.46/1.03 % (754356)Termination reason: Instruction limit
% 3.46/1.03 % (754356)Termination phase: Saturation
% 3.46/1.03 % (754356)Time elapsed: 0.040 s
% 3.46/1.03 % (754356)Peak memory usage: 12 MB
% 3.46/1.03 % (754356)Instructions burned: 95 (million)
% 3.46/1.03 % (754364)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=1840738447:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 3.46/1.03 % (754357)Instruction limit reached!
% 3.46/1.03 % (754357)------------------------------
% 3.46/1.03 % (754357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/1.03 % (754357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.03 % (754357)CaDiCaL version: 2.1.3
% 3.46/1.03 % (754357)Termination reason: Instruction limit
% 3.46/1.03 % (754357)Termination phase: Saturation
% 3.46/1.03 % (754357)Time elapsed: 0.032 s
% 3.46/1.03 % (754357)Peak memory usage: 12 MB
% 3.46/1.03 % (754357)Instructions burned: 67 (million)
% 3.46/1.03 % (754364)Refutation not found, incomplete strategy
% 3.46/1.03 % (754364)------------------------------
% 3.46/1.03 % (754364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.46/1.03 % (754364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.16 % (754364)CaDiCaL version: 2.1.3
% 5.02/1.16 % (754364)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.16 % (754364)Time elapsed: 0.0000 s
% 5.02/1.16 % (754364)Peak memory usage: 11 MB
% 5.02/1.16 % (754364)------------------------------
% 5.02/1.16 % (754364)------------------------------
% 5.02/1.16 % (754365)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1799280540:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/495Mi)
% 5.02/1.16 % (754367)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=1810397848:cond=on:i=34:hud=10:nm=10:rtra=on_2993 on theBenchmark for (2993ds/34Mi)
% 5.02/1.16 % (754368)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1571377589:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2993 on theBenchmark for (2993ds/91Mi)
% 5.02/1.16 % (754358)Instruction limit reached!
% 5.02/1.16 % (754358)------------------------------
% 5.02/1.16 % (754358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.16 % (754358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.16 % (754358)CaDiCaL version: 2.1.3
% 5.02/1.16 % (754358)Termination reason: Instruction limit
% 5.02/1.16 % (754358)Termination phase: Saturation
% 5.02/1.16 % (754358)Time elapsed: 0.053 s
% 5.02/1.16 % (754358)Peak memory usage: 12 MB
% 5.02/1.16 % (754358)Instructions burned: 105 (million)
% 5.02/1.16 % (754367)Instruction limit reached!
% 5.02/1.16 % (754367)------------------------------
% 5.02/1.16 % (754367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.16 % (754367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.16 % (754367)CaDiCaL version: 2.1.3
% 5.02/1.16 % (754367)Termination reason: Instruction limit
% 5.02/1.16 % (754367)Termination phase: Saturation
% 5.02/1.16 % (754367)Time elapsed: 0.019 s
% 5.02/1.16 % (754367)Peak memory usage: 12 MB
% 5.02/1.16 % (754367)Instructions burned: 36 (million)
% 5.02/1.16 % (754372)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=371279864:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2993 on theBenchmark for (2993ds/66Mi)
% 5.02/1.16 % (754372)Refutation not found, incomplete strategy
% 5.02/1.16 % (754372)------------------------------
% 5.02/1.16 % (754372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.16 % (754372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.16 % (754372)CaDiCaL version: 2.1.3
% 5.02/1.16 % (754372)Termination reason: Refutation not found, incomplete strategy
% 5.02/1.16 % (754372)Time elapsed: 0.001 s
% 5.02/1.16 % (754372)Peak memory usage: 11 MB
% 5.02/1.16 % (754372)------------------------------
% 5.02/1.16 % (754372)------------------------------
% 5.02/1.16 % (754373)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=983332906:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 5.02/1.16 % (754368)Instruction limit reached!
% 5.02/1.16 % (754368)------------------------------
% 5.02/1.16 % (754368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.16 % (754368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.16 % (754368)CaDiCaL version: 2.1.3
% 5.02/1.16 % (754368)Termination reason: Instruction limit
% 5.02/1.16 % (754368)Termination phase: Saturation
% 5.02/1.16 % (754368)Time elapsed: 0.040 s
% 5.02/1.16 % (754368)Peak memory usage: 12 MB
% 5.02/1.16 % (754368)Instructions burned: 91 (million)
% 5.02/1.16 % (754375)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=709688094:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 5.02/1.16 % (754373)Instruction limit reached!
% 5.02/1.16 % (754373)------------------------------
% 5.02/1.16 % (754373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.02/1.16 % (754373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.02/1.16 % (754373)CaDiCaL version: 2.1.3
% 5.02/1.16 % (754373)Termination reason: Instruction limit
% 5.02/1.16 % (754373)Termination phase: Saturation
% 5.02/1.16 % (754373)Time elapsed: 0.011 s
% 5.02/1.16 % (754373)Peak memory usage: 12 MB
% 5.02/1.16 % (754373)Instructions burned: 23 (million)
% 5.02/1.16 % (754309)Instruction limit reached!
% 5.02/1.16 % (754309)------------------------------
% 5.60/1.25 % (754309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.25 % (754309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.25 % (754309)CaDiCaL version: 2.1.3
% 5.60/1.25 % (754309)Termination reason: Instruction limit
% 5.60/1.25 % (754309)Termination phase: Saturation
% 5.60/1.25 % (754309)Time elapsed: 0.369 s
% 5.60/1.25 % (754309)Peak memory usage: 13 MB
% 5.60/1.25 % (754309)Instructions burned: 854 (million)
% 5.60/1.25 % (754377)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3801020649:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 5.60/1.25 % (754377)Refutation not found, incomplete strategy
% 5.60/1.25 % (754377)------------------------------
% 5.60/1.25 % (754377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.25 % (754377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.25 % (754377)CaDiCaL version: 2.1.3
% 5.60/1.25 % (754377)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.25 % (754377)Time elapsed: 0.001 s
% 5.60/1.25 % (754377)Peak memory usage: 11 MB
% 5.60/1.25 % (754377)------------------------------
% 5.60/1.25 % (754377)------------------------------
% 5.60/1.25 % (754379)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 5.60/1.25 % (754379)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=4088755094:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2993 on theBenchmark for (2993ds/137Mi)
% 5.60/1.25 % (754352)Instruction limit reached!
% 5.60/1.25 % (754352)------------------------------
% 5.60/1.25 % (754352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.25 % (754352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.25 % (754352)CaDiCaL version: 2.1.3
% 5.60/1.25 % (754352)Termination reason: Instruction limit
% 5.60/1.25 % (754352)Termination phase: Saturation
% 5.60/1.25 % (754352)Time elapsed: 0.150 s
% 5.60/1.25 % (754352)Peak memory usage: 12 MB
% 5.60/1.25 % (754352)Instructions burned: 452 (million)
% 5.60/1.25 % (754380)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=329202343:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/340Mi)
% 5.60/1.25 % (754382)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=122798916:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 5.60/1.25 % (754382)Refutation not found, incomplete strategy
% 5.60/1.25 % (754382)------------------------------
% 5.60/1.25 % (754382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.25 % (754382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.25 % (754382)CaDiCaL version: 2.1.3
% 5.60/1.25 % (754382)Termination reason: Refutation not found, incomplete strategy
% 5.60/1.25 % (754382)Time elapsed: 0.001 s
% 5.60/1.25 % (754382)Peak memory usage: 11 MB
% 5.60/1.25 % (754382)------------------------------
% 5.60/1.25 % (754382)------------------------------
% 5.60/1.25 % (754384)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.60/1.25 % (754384)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2208614548:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/373Mi)
% 5.60/1.25 % (754379)Instruction limit reached!
% 5.60/1.25 % (754379)------------------------------
% 5.60/1.25 % (754379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.25 % (754379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.25 % (754379)CaDiCaL version: 2.1.3
% 5.60/1.25 % (754379)Termination reason: Instruction limit
% 5.60/1.25 % (754379)Termination phase: Saturation
% 5.60/1.25 % (754379)Time elapsed: 0.064 s
% 5.60/1.25 % (754379)Peak memory usage: 12 MB
% 5.60/1.25 % (754379)Instructions burned: 138 (million)
% 5.60/1.25 % (754387)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=3332945308:i=116:ep=RSTC:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/116Mi)
% 5.60/1.25 % (754389)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2157845285:i=575:rtra=on_2992 on theBenchmark for (2992ds/575Mi)
% 5.99/1.31 % (754389)Refutation not found, incomplete strategy
% 5.99/1.31 % (754389)------------------------------
% 5.99/1.31 % (754389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.31 % (754389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.31 % (754389)CaDiCaL version: 2.1.3
% 5.99/1.31 % (754389)Termination reason: Refutation not found, incomplete strategy
% 5.99/1.31 % (754389)Time elapsed: 0.001 s
% 5.99/1.31 % (754389)Peak memory usage: 11 MB
% 5.99/1.31 % (754389)Instructions burned: 1 (million)
% 5.99/1.31 % (754389)------------------------------
% 5.99/1.31 % (754389)------------------------------
% 5.99/1.31 % (754392)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3713928479:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.99/1.31 % (754375)Instruction limit reached!
% 5.99/1.31 % (754375)------------------------------
% 5.99/1.31 % (754375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.31 % (754375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.31 % (754375)CaDiCaL version: 2.1.3
% 5.99/1.31 % (754375)Termination reason: Instruction limit
% 5.99/1.31 % (754375)Termination phase: Saturation
% 5.99/1.31 % (754375)Time elapsed: 0.183 s
% 5.99/1.31 % (754375)Peak memory usage: 14 MB
% 5.99/1.31 % (754375)Instructions burned: 340 (million)
% 5.99/1.31 % (754380)Instruction limit reached!
% 5.99/1.31 % (754380)------------------------------
% 5.99/1.31 % (754380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.31 % (754380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.31 % (754380)CaDiCaL version: 2.1.3
% 5.99/1.31 % (754380)Termination reason: Instruction limit
% 5.99/1.31 % (754380)Termination phase: Saturation
% 5.99/1.31 % (754380)Time elapsed: 0.156 s
% 5.99/1.31 % (754380)Peak memory usage: 13 MB
% 5.99/1.31 % (754380)Instructions burned: 340 (million)
% 5.99/1.31 % (754387)Instruction limit reached!
% 5.99/1.31 % (754387)------------------------------
% 5.99/1.31 % (754387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.31 % (754387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.31 % (754387)CaDiCaL version: 2.1.3
% 5.99/1.31 % (754387)Termination reason: Instruction limit
% 5.99/1.31 % (754387)Termination phase: Saturation
% 5.99/1.31 % (754387)Time elapsed: 0.095 s
% 5.99/1.31 % (754387)Peak memory usage: 12 MB
% 5.99/1.31 % (754387)Instructions burned: 118 (million)
% 5.99/1.31 % (754394)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=1730380104:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2991 on theBenchmark for (2991ds/9840Mi)
% 5.99/1.31 % (754395)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3307782048:i=421:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/421Mi)
% 5.99/1.31 % (754395)Refutation not found, incomplete strategy
% 5.99/1.31 % (754395)------------------------------
% 5.99/1.31 % (754395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.31 % (754395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.31 % (754395)CaDiCaL version: 2.1.3
% 5.99/1.31 % (754395)Termination reason: Refutation not found, incomplete strategy
% 5.99/1.31 % (754395)Time elapsed: 0.001 s
% 5.99/1.31 % (754395)Peak memory usage: 11 MB
% 5.99/1.31 % (754395)------------------------------
% 5.99/1.31 % (754395)------------------------------
% 5.99/1.31 % (754396)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.99/1.31 % (754396)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=1937247046:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/270Mi)
% 5.99/1.31 % (754365)Instruction limit reached!
% 5.99/1.31 % (754365)------------------------------
% 5.99/1.31 % (754365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.31 % (754365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.39 % (754365)CaDiCaL version: 2.1.3
% 5.99/1.39 % (754365)Termination reason: Instruction limit
% 5.99/1.39 % (754365)Termination phase: Saturation
% 5.99/1.39 % (754365)Time elapsed: 0.277 s
% 5.99/1.39 % (754365)Peak memory usage: 13 MB
% 5.99/1.39 % (754365)Instructions burned: 496 (million)
% 5.99/1.39 % (754392)Instruction limit reached!
% 5.99/1.39 % (754392)------------------------------
% 5.99/1.39 % (754392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.39 % (754392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.39 % (754392)CaDiCaL version: 2.1.3
% 5.99/1.39 % (754392)Termination reason: Instruction limit
% 5.99/1.39 % (754392)Termination phase: Saturation
% 5.99/1.39 % (754392)Time elapsed: 0.115 s
% 5.99/1.39 % (754392)Peak memory usage: 12 MB
% 5.99/1.39 % (754392)Instructions burned: 271 (million)
% 5.99/1.39 % (754401)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.99/1.39 % (754401)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 5.99/1.39 % (754399)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3626415668:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/31Mi)
% 5.99/1.39 % (754401)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=450927246:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2990 on theBenchmark for (2990ds/1440Mi)
% 5.99/1.39 % (754402)dis+10_2_sil=128000:si=on:random_seed=3331063241:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2990 on theBenchmark for (2990ds/339Mi)
% 5.99/1.39 % (754402)Refutation not found, incomplete strategy
% 5.99/1.39 % (754402)------------------------------
% 5.99/1.39 % (754402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.39 % (754402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.39 % (754402)CaDiCaL version: 2.1.3
% 5.99/1.39 % (754402)Termination reason: Refutation not found, incomplete strategy
% 5.99/1.39 % (754402)Time elapsed: 0.0000 s
% 5.99/1.39 % (754402)Peak memory usage: 11 MB
% 5.99/1.39 % (754402)------------------------------
% 5.99/1.39 % (754402)------------------------------
% 5.99/1.39 % (754399)Instruction limit reached!
% 5.99/1.39 % (754399)------------------------------
% 5.99/1.39 % (754399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.39 % (754399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.39 % (754399)CaDiCaL version: 2.1.3
% 5.99/1.39 % (754399)Termination reason: Instruction limit
% 5.99/1.39 % (754399)Termination phase: Saturation
% 5.99/1.39 % (754399)Time elapsed: 0.032 s
% 5.99/1.39 % (754399)Peak memory usage: 12 MB
% 5.99/1.39 % (754399)Instructions burned: 31 (million)
% 5.99/1.39 % (754406)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2554450295:i=111:add=on:fgj=on:rtra=on:fdi=1024_2990 on theBenchmark for (2990ds/111Mi)
% 5.99/1.39 % (754407)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=3302203444:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2990 on theBenchmark for (2990ds/122Mi)
% 5.99/1.39 % (754407)Refutation not found, incomplete strategy
% 5.99/1.39 % (754407)------------------------------
% 5.99/1.39 % (754407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.39 % (754407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.39 % (754407)CaDiCaL version: 2.1.3
% 5.99/1.39 % (754407)Termination reason: Refutation not found, incomplete strategy
% 5.99/1.39 % (754407)Time elapsed: 0.001 s
% 5.99/1.39 % (754407)Peak memory usage: 11 MB
% 5.99/1.39 % (754407)------------------------------
% 5.99/1.39 % (754407)------------------------------
% 5.99/1.39 % (754384)Instruction limit reached!
% 5.99/1.39 % (754384)------------------------------
% 5.99/1.39 % (754384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.99/1.39 % (754384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.39 % (754384)CaDiCaL version: 2.1.3
% 5.99/1.39 % (754384)Termination reason: Instruction limit
% 5.99/1.39 % (754384)Termination phase: Saturation
% 6.36/1.55 % (754384)Time elapsed: 0.259 s
% 6.36/1.55 % (754384)Peak memory usage: 12 MB
% 6.36/1.55 % (754384)Instructions burned: 374 (million)
% 6.36/1.55 % (754411)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2279192998:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2989 on theBenchmark for (2989ds/232Mi)
% 6.36/1.55 % (754411)Refutation not found, incomplete strategy
% 6.36/1.55 % (754411)------------------------------
% 6.36/1.55 % (754411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.55 % (754411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.55 % (754411)CaDiCaL version: 2.1.3
% 6.36/1.55 % (754411)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.55 % (754411)Time elapsed: 0.001 s
% 6.36/1.55 % (754411)Peak memory usage: 11 MB
% 6.36/1.55 % (754411)------------------------------
% 6.36/1.55 % (754411)------------------------------
% 6.36/1.55 % (754288)Instruction limit reached!
% 6.36/1.55 % (754288)------------------------------
% 6.36/1.55 % (754288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.55 % (754288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.55 % (754288)CaDiCaL version: 2.1.3
% 6.36/1.55 % (754288)Termination reason: Instruction limit
% 6.36/1.55 % (754288)Termination phase: Saturation
% 6.36/1.55 % (754288)Time elapsed: 0.787 s
% 6.36/1.55 % (754288)Peak memory usage: 12 MB
% 6.36/1.55 % (754288)Instructions burned: 1240 (million)
% 6.36/1.55 % (754410)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=91830707:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/136Mi)
% 6.36/1.55 % (754410)Refutation not found, incomplete strategy
% 6.36/1.55 % (754410)------------------------------
% 6.36/1.55 % (754410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.55 % (754410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.55 % (754410)CaDiCaL version: 2.1.3
% 6.36/1.55 % (754410)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.55 % (754410)Time elapsed: 0.001 s
% 6.36/1.55 % (754410)Peak memory usage: 11 MB
% 6.36/1.55 % (754410)Instructions burned: 1 (million)
% 6.36/1.55 % (754396)Instruction limit reached!
% 6.36/1.55 % (754396)------------------------------
% 6.36/1.55 % (754396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.55 % (754396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.55 % (754410)------------------------------
% 6.36/1.55 % (754410)------------------------------
% 6.36/1.55 % (754396)CaDiCaL version: 2.1.3
% 6.36/1.55 % (754396)Termination reason: Instruction limit
% 6.36/1.55 % (754396)Termination phase: Saturation
% 6.36/1.55 % (754396)Time elapsed: 0.138 s
% 6.36/1.55 % (754396)Peak memory usage: 12 MB
% 6.36/1.55 % (754396)Instructions burned: 272 (million)
% 6.36/1.55 % (754416)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1126610315:i=619:add=on:rtra=on_2989 on theBenchmark for (2989ds/619Mi)
% 6.36/1.55 % (754417)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=3591387161:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/865Mi)
% 6.36/1.55 % (754413)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=1058286942:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2989 on theBenchmark for (2989ds/1254Mi)
% 6.36/1.55 % (754416)Refutation not found, incomplete strategy
% 6.36/1.55 % (754416)------------------------------
% 6.36/1.55 % (754416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.36/1.55 % (754416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.36/1.55 % (754416)CaDiCaL version: 2.1.3
% 6.36/1.55 % (754416)Termination reason: Refutation not found, incomplete strategy
% 6.36/1.55 % (754416)Time elapsed: 0.002 s
% 6.36/1.55 % (754416)Peak memory usage: 12 MB
% 6.36/1.55 % (754416)Instructions burned: 2 (million)
% 6.36/1.55 % (754416)------------------------------
% 6.36/1.55 % (754416)------------------------------
% 6.36/1.55 % (754414)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.36/1.55 % (754413)Refutation not found, incomplete strategy
% 6.82/1.67 % (754413)------------------------------
% 6.82/1.67 % (754413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.82/1.67 % (754413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.67 % (754413)CaDiCaL version: 2.1.3
% 6.82/1.67 % (754413)Termination reason: Refutation not found, incomplete strategy
% 6.82/1.67 % (754413)Time elapsed: 0.006 s
% 6.82/1.67 % (754413)Peak memory usage: 11 MB
% 6.82/1.67 % (754413)Instructions burned: 3 (million)
% 6.82/1.67 % (754413)------------------------------
% 6.82/1.67 % (754413)------------------------------
% 6.82/1.67 % (754414)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=4187723033:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2989 on theBenchmark for (2989ds/281Mi)
% 6.82/1.67 % (754406)Instruction limit reached!
% 6.82/1.67 % (754406)------------------------------
% 6.82/1.67 % (754406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.82/1.67 % (754406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.67 % (754406)CaDiCaL version: 2.1.3
% 6.82/1.67 % (754406)Termination reason: Instruction limit
% 6.82/1.67 % (754406)Termination phase: Saturation
% 6.82/1.67 % (754406)Time elapsed: 0.106 s
% 6.82/1.67 % (754406)Peak memory usage: 12 MB
% 6.82/1.67 % (754406)Instructions burned: 112 (million)
% 6.82/1.67 % (754424)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1703926201:st=1.5:i=346:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/346Mi)
% 6.82/1.67 % (754424)Refutation not found, incomplete strategy
% 6.82/1.67 % (754424)------------------------------
% 6.82/1.67 % (754424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.82/1.67 % (754424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.67 % (754424)CaDiCaL version: 2.1.3
% 6.82/1.67 % (754424)Termination reason: Refutation not found, incomplete strategy
% 6.82/1.67 % (754424)Time elapsed: 0.001 s
% 6.82/1.67 % (754424)Peak memory usage: 11 MB
% 6.82/1.67 % (754424)Instructions burned: 1 (million)
% 6.82/1.67 % (754424)------------------------------
% 6.82/1.67 % (754424)------------------------------
% 6.82/1.67 % (754421)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3725386281:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/212Mi)
% 6.82/1.67 % (754421)Refutation not found, incomplete strategy
% 6.82/1.67 % (754421)------------------------------
% 6.82/1.67 % (754421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.82/1.67 % (754421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.67 % (754421)CaDiCaL version: 2.1.3
% 6.82/1.67 % (754421)Termination reason: Refutation not found, incomplete strategy
% 6.82/1.67 % (754421)Time elapsed: 0.001 s
% 6.82/1.67 % (754421)Peak memory usage: 11 MB
% 6.82/1.67 % (754421)------------------------------
% 6.82/1.67 % (754421)------------------------------
% 6.82/1.67 % (754423)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=1541436451:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/130Mi)
% 6.82/1.67 % (754423)Refutation not found, incomplete strategy
% 6.82/1.67 % (754423)------------------------------
% 6.82/1.67 % (754423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.82/1.67 % (754423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.67 % (754423)CaDiCaL version: 2.1.3
% 6.82/1.67 % (754423)Termination reason: Refutation not found, incomplete strategy
% 6.82/1.67 % (754423)Time elapsed: 0.004 s
% 6.82/1.67 % (754423)Peak memory usage: 11 MB
% 6.82/1.67 % (754423)------------------------------
% 6.82/1.67 % (754423)------------------------------
% 6.82/1.67 % (754426)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=144929841:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/152Mi)
% 6.82/1.67 % (754428)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1581956144:i=75:ep=R:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/75Mi)
% 6.82/1.67 % (754430)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=2397202471:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2988 on theBenchmark for (2988ds/387Mi)
% 6.82/1.67 % (754430)Refutation not found, incomplete strategy
% 6.82/1.67 % (754430)------------------------------
% 6.82/1.67 % (754430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.94 % (754430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.94 % (754430)CaDiCaL version: 2.1.3
% 7.95/1.94 % (754430)Termination reason: Refutation not found, incomplete strategy
% 7.95/1.94 % (754430)Time elapsed: 0.001 s
% 7.95/1.94 % (754430)Peak memory usage: 11 MB
% 7.95/1.94 % (754430)Instructions burned: 1 (million)
% 7.95/1.94 % (754430)------------------------------
% 7.95/1.94 % (754430)------------------------------
% 7.95/1.94 % (754434)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=2551405694:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2988 on theBenchmark for (2988ds/148Mi)
% 7.95/1.94 % (754428)Instruction limit reached!
% 7.95/1.94 % (754428)------------------------------
% 7.95/1.94 % (754428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.94 % (754428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.94 % (754428)CaDiCaL version: 2.1.3
% 7.95/1.94 % (754428)Termination reason: Instruction limit
% 7.95/1.94 % (754428)Termination phase: Saturation
% 7.95/1.94 % (754428)Time elapsed: 0.039 s
% 7.95/1.94 % (754428)Peak memory usage: 12 MB
% 7.95/1.94 % (754428)Instructions burned: 76 (million)
% 7.95/1.94 % (754436)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=525648241:i=161:piset=and:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/161Mi)
% 7.95/1.94 % (754434)Instruction limit reached!
% 7.95/1.94 % (754434)------------------------------
% 7.95/1.94 % (754434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.94 % (754434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.94 % (754434)CaDiCaL version: 2.1.3
% 7.95/1.94 % (754434)Termination reason: Instruction limit
% 7.95/1.94 % (754434)Termination phase: Saturation
% 7.95/1.94 % (754434)Time elapsed: 0.067 s
% 7.95/1.94 % (754434)Peak memory usage: 12 MB
% 7.95/1.94 % (754434)Instructions burned: 150 (million)
% 7.95/1.94 % (754438)lrs+10_1_sil=128000:si=on:random_seed=702402053:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/888Mi)
% 7.95/1.94 % (754438)Refutation not found, incomplete strategy
% 7.95/1.94 % (754438)------------------------------
% 7.95/1.94 % (754438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.94 % (754438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.94 % (754438)CaDiCaL version: 2.1.3
% 7.95/1.94 % (754438)Termination reason: Refutation not found, incomplete strategy
% 7.95/1.94 % (754438)Time elapsed: 0.001 s
% 7.95/1.94 % (754438)Peak memory usage: 11 MB
% 7.95/1.94 % (754438)------------------------------
% 7.95/1.94 % (754438)------------------------------
% 7.95/1.94 % (754436)Instruction limit reached!
% 7.95/1.94 % (754436)------------------------------
% 7.95/1.94 % (754436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.94 % (754436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.94 % (754436)CaDiCaL version: 2.1.3
% 7.95/1.94 % (754436)Termination reason: Instruction limit
% 7.95/1.94 % (754436)Termination phase: Saturation
% 7.95/1.94 % (754436)Time elapsed: 0.065 s
% 7.95/1.94 % (754436)Peak memory usage: 12 MB
% 7.95/1.94 % (754436)Instructions burned: 161 (million)
% 7.95/1.94 % (754440)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=3976544289:i=136:add=on:ins=4:rtra=on:sup=off_2987 on theBenchmark for (2987ds/136Mi)
% 7.95/1.94 % (754426)Instruction limit reached!
% 7.95/1.94 % (754426)------------------------------
% 7.95/1.94 % (754426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.95/1.94 % (754426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.95/1.94 % (754426)CaDiCaL version: 2.1.3
% 7.95/1.94 % (754426)Termination reason: Instruction limit
% 7.95/1.94 % (754426)Termination phase: Saturation
% 7.95/1.94 % (754426)Time elapsed: 0.145 s
% 7.95/1.94 % (754426)Peak memory usage: 12 MB
% 7.95/1.94 % (754426)Instructions burned: 153 (million)
% 7.95/1.94 % (754441)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=2134374343:i=88:s2at=3:nm=2:rtra=on:rawr=on_2987 on theBenchmark for (2987ds/88Mi)
% 7.95/1.94 % (754414)Instruction limit reached!
% 7.95/1.94 % (754414)------------------------------
% 11.11/2.14 % (754414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.11/2.14 % (754414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.11/2.14 % (754414)CaDiCaL version: 2.1.3
% 11.11/2.14 % (754414)Termination reason: Instruction limit
% 11.11/2.14 % (754414)Termination phase: Saturation
% 11.11/2.14 % (754414)Time elapsed: 0.240 s
% 11.11/2.14 % (754414)Peak memory usage: 13 MB
% 11.11/2.14 % (754414)Instructions burned: 283 (million)
% 11.11/2.14 % (754443)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3950802600:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2987 on theBenchmark for (2987ds/93Mi)
% 11.11/2.14 % (754445)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1997984910:i=2186:rtra=on:ixr=off_2986 on theBenchmark for (2986ds/2186Mi)
% 11.11/2.14 % (754440)Instruction limit reached!
% 11.11/2.14 % (754440)------------------------------
% 11.11/2.14 % (754440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.11/2.14 % (754440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.11/2.14 % (754440)CaDiCaL version: 2.1.3
% 11.11/2.14 % (754440)Termination reason: Instruction limit
% 11.11/2.14 % (754440)Termination phase: Saturation
% 11.11/2.14 % (754440)Time elapsed: 0.063 s
% 11.11/2.14 % (754440)Peak memory usage: 12 MB
% 11.11/2.14 % (754440)Instructions burned: 138 (million)
% 11.11/2.14 % (754448)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2867486792:s2a=on:i=240:rtra=on:ntd=on_2986 on theBenchmark for (2986ds/240Mi)
% 11.11/2.14 % (754441)Instruction limit reached!
% 11.11/2.14 % (754441)------------------------------
% 11.11/2.14 % (754441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.11/2.14 % (754441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.11/2.14 % (754441)CaDiCaL version: 2.1.3
% 11.11/2.14 % (754441)Termination reason: Instruction limit
% 11.11/2.14 % (754441)Termination phase: Saturation
% 11.11/2.14 % (754441)Time elapsed: 0.078 s
% 11.11/2.14 % (754441)Peak memory usage: 12 MB
% 11.11/2.14 % (754441)Instructions burned: 89 (million)
% 11.11/2.14 % (754450)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=39098109:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2986 on theBenchmark for (2986ds/805Mi)
% 11.11/2.14 % (754401)Instruction limit reached!
% 11.11/2.14 % (754401)------------------------------
% 11.11/2.14 % (754401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.11/2.14 % (754401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.11/2.14 % (754401)CaDiCaL version: 2.1.3
% 11.11/2.14 % (754401)Termination reason: Instruction limit
% 11.11/2.14 % (754401)Termination phase: Saturation
% 11.11/2.14 % (754401)Time elapsed: 0.474 s
% 11.11/2.14 % (754401)Peak memory usage: 13 MB
% 11.11/2.14 % (754401)Instructions burned: 1441 (million)
% 11.11/2.14 % (754443)Instruction limit reached!
% 11.11/2.14 % (754443)------------------------------
% 11.11/2.14 % (754443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.11/2.14 % (754443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.11/2.14 % (754443)CaDiCaL version: 2.1.3
% 11.11/2.14 % (754443)Termination reason: Instruction limit
% 11.11/2.14 % (754443)Termination phase: Saturation
% 11.11/2.14 % (754443)Time elapsed: 0.096 s
% 11.11/2.14 % (754443)Peak memory usage: 12 MB
% 11.11/2.14 % (754443)Instructions burned: 95 (million)
% 11.11/2.14 % (754453)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 11.11/2.14 % (754453)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=3864802671:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2985 on theBenchmark for (2985ds/391Mi)
% 11.11/2.14 % (754453)Refutation not found, incomplete strategy
% 11.11/2.14 % (754453)------------------------------
% 11.11/2.14 % (754453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.11/2.14 % (754453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.11/2.14 % (754453)CaDiCaL version: 2.1.3
% 11.11/2.14 % (754453)Termination reason: Refutation not found, incomplete strategy
% 11.11/2.14 % (754453)Time elapsed: 0.001 s
% 11.11/2.14 % (754453)Peak memory usage: 11 MB
% 11.75/2.20 % (754453)Instructions burned: 1 (million)
% 11.75/2.20 % (754453)------------------------------
% 11.75/2.20 % (754453)------------------------------
% 11.75/2.20 % (754454)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1020561092:i=355:av=off:fsr=off:rtra=on:ixr=off_2985 on theBenchmark for (2985ds/355Mi)
% 11.75/2.20 % (754456)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=1241968619:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/314Mi)
% 11.75/2.20 % (754456)Refutation not found, incomplete strategy
% 11.75/2.20 % (754456)------------------------------
% 11.75/2.20 % (754456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20 % (754456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20 % (754456)CaDiCaL version: 2.1.3
% 11.75/2.20 % (754456)Termination reason: Refutation not found, incomplete strategy
% 11.75/2.20 % (754456)Time elapsed: 0.001 s
% 11.75/2.20 % (754456)Peak memory usage: 11 MB
% 11.75/2.20 % (754456)------------------------------
% 11.75/2.20 % (754456)------------------------------
% 11.75/2.20 % (754448)Instruction limit reached!
% 11.75/2.20 % (754448)------------------------------
% 11.75/2.20 % (754448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20 % (754448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20 % (754448)CaDiCaL version: 2.1.3
% 11.75/2.20 % (754448)Termination reason: Instruction limit
% 11.75/2.20 % (754448)Termination phase: Saturation
% 11.75/2.20 % (754448)Time elapsed: 0.130 s
% 11.75/2.20 % (754448)Peak memory usage: 12 MB
% 11.75/2.20 % (754448)Instructions burned: 240 (million)
% 11.75/2.20 % (754459)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2438677556:s2a=on:i=251:fsr=off:rtra=on_2985 on theBenchmark for (2985ds/251Mi)
% 11.75/2.20 % (754461)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=1044186628:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2470:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2985 on theBenchmark for (2985ds/2470Mi)
% 11.75/2.20 % (754459)Instruction limit reached!
% 11.75/2.20 % (754459)------------------------------
% 11.75/2.20 % (754459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20 % (754459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20 % (754459)CaDiCaL version: 2.1.3
% 11.75/2.20 % (754459)Termination reason: Instruction limit
% 11.75/2.20 % (754459)Termination phase: Saturation
% 11.75/2.20 % (754459)Time elapsed: 0.114 s
% 11.75/2.20 % (754459)Peak memory usage: 12 MB
% 11.75/2.20 % (754459)Instructions burned: 253 (million)
% 11.75/2.20 % (754463)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=789568248:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2984 on theBenchmark for (2984ds/673Mi)
% 11.75/2.20 % (754454)Instruction limit reached!
% 11.75/2.20 % (754454)------------------------------
% 11.75/2.20 % (754454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20 % (754454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20 % (754454)CaDiCaL version: 2.1.3
% 11.75/2.20 % (754454)Termination reason: Instruction limit
% 11.75/2.20 % (754454)Termination phase: Saturation
% 11.75/2.20 % (754454)Time elapsed: 0.177 s
% 11.75/2.20 % (754454)Peak memory usage: 12 MB
% 11.75/2.20 % (754454)Instructions burned: 356 (million)
% 11.75/2.20 % (754465)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2961823180:i=116:ep=RSTC:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/116Mi)
% 11.75/2.20 % (754417)Instruction limit reached!
% 11.75/2.20 % (754417)------------------------------
% 11.75/2.20 % (754417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.75/2.20 % (754417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.75/2.20 % (754417)CaDiCaL version: 2.1.3
% 11.75/2.20 % (754417)Termination reason: Instruction limit
% 11.75/2.20 % (754417)Termination phase: Saturation
% 11.75/2.20 % (754417)Time elapsed: 0.626 s
% 11.75/2.20 % (754417)Peak memory usage: 15 MB
% 11.75/2.20 % (754417)Instructions burned: 865 (million)
% 11.75/2.20 % (754465)Instruction limit reached!
% 11.75/2.20 % (754465)------------------------------
% 11.75/2.20 % (754465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.89/2.41 % (754465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.41 % (754465)CaDiCaL version: 2.1.3
% 12.89/2.41 % (754465)Termination reason: Instruction limit
% 12.89/2.41 % (754465)Termination phase: Saturation
% 12.89/2.41 % (754465)Time elapsed: 0.048 s
% 12.89/2.41 % (754465)Peak memory usage: 12 MB
% 12.89/2.41 % (754465)Instructions burned: 119 (million)
% 12.89/2.41 % (754467)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=4016199461:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2983 on theBenchmark for (2983ds/270Mi)
% 12.89/2.41 % (754468)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=496643053:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2983 on theBenchmark for (2983ds/30Mi)
% 12.89/2.41 % (754468)Instruction limit reached!
% 12.89/2.41 % (754468)------------------------------
% 12.89/2.41 % (754468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.89/2.42 % (754468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.42 % (754468)CaDiCaL version: 2.1.3
% 12.89/2.42 % (754468)Termination reason: Instruction limit
% 12.89/2.42 % (754468)Termination phase: Saturation
% 12.89/2.42 % (754468)Time elapsed: 0.014 s
% 12.89/2.42 % (754468)Peak memory usage: 12 MB
% 12.89/2.42 % (754468)Instructions burned: 31 (million)
% 12.89/2.42 % (754471)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 12.89/2.42 % (754450)Instruction limit reached!
% 12.89/2.42 % (754450)------------------------------
% 12.89/2.42 % (754450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.89/2.42 % (754450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.42 % (754450)CaDiCaL version: 2.1.3
% 12.89/2.42 % (754450)Termination reason: Instruction limit
% 12.89/2.42 % (754450)Termination phase: Saturation
% 12.89/2.42 % (754450)Time elapsed: 0.342 s
% 12.89/2.42 % (754450)Peak memory usage: 13 MB
% 12.89/2.42 % (754450)Instructions burned: 807 (million)
% 12.89/2.42 % (754471)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=145983788:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2982 on theBenchmark for (2982ds/39Mi)
% 12.89/2.42 % (754471)Instruction limit reached!
% 12.89/2.42 % (754471)------------------------------
% 12.89/2.42 % (754471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.89/2.42 % (754471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.42 % (754471)CaDiCaL version: 2.1.3
% 12.89/2.42 % (754471)Termination reason: Instruction limit
% 12.89/2.42 % (754471)Termination phase: Saturation
% 12.89/2.42 % (754471)Time elapsed: 0.024 s
% 12.89/2.42 % (754471)Peak memory usage: 12 MB
% 12.89/2.42 % (754471)Instructions burned: 40 (million)
% 12.89/2.42 % (754473)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2710648802:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2982 on theBenchmark for (2982ds/365Mi)
% 12.89/2.42 % (754474)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4048107086:i=158:av=off:rtra=on_2982 on theBenchmark for (2982ds/158Mi)
% 12.89/2.42 % (754467)Instruction limit reached!
% 12.89/2.42 % (754467)------------------------------
% 12.89/2.42 % (754467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.89/2.42 % (754467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.42 % (754467)CaDiCaL version: 2.1.3
% 12.89/2.42 % (754467)Termination reason: Instruction limit
% 12.89/2.42 % (754467)Termination phase: Saturation
% 12.89/2.42 % (754467)Time elapsed: 0.119 s
% 12.89/2.42 % (754467)Peak memory usage: 12 MB
% 12.89/2.42 % (754467)Instructions burned: 271 (million)
% 12.89/2.42 % (754477)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 12.89/2.42 % (754477)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=631657323:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/252Mi)
% 12.89/2.42 % (754474)Instruction limit reached!
% 12.89/2.42 % (754474)------------------------------
% 12.89/2.47 % (754474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.89/2.47 % (754474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.47 % (754474)CaDiCaL version: 2.1.3
% 12.89/2.47 % (754474)Termination reason: Instruction limit
% 12.89/2.47 % (754474)Termination phase: Saturation
% 12.89/2.47 % (754474)Time elapsed: 0.065 s
% 12.89/2.47 % (754474)Peak memory usage: 12 MB
% 12.89/2.47 % (754474)Instructions burned: 158 (million)
% 12.89/2.47 % (754479)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=3580039297:i=213:rtra=on:ss=axioms_2981 on theBenchmark for (2981ds/213Mi)
% 12.89/2.47 % (754479)Refutation not found, incomplete strategy
% 12.89/2.47 % (754479)------------------------------
% 12.89/2.47 % (754479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.89/2.47 % (754479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.47 % (754479)CaDiCaL version: 2.1.3
% 12.89/2.47 % (754479)Termination reason: Refutation not found, incomplete strategy
% 12.89/2.47 % (754479)Time elapsed: 0.001 s
% 12.89/2.47 % (754479)Peak memory usage: 11 MB
% 12.89/2.47 % (754479)------------------------------
% 12.89/2.47 % (754479)------------------------------
% 12.89/2.47 % (754463)Instruction limit reached!
% 12.89/2.47 % (754463)------------------------------
% 12.89/2.47 % (754463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.89/2.47 % (754463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.47 % (754463)CaDiCaL version: 2.1.3
% 12.89/2.47 % (754463)Termination reason: Instruction limit
% 12.89/2.47 % (754463)Termination phase: Saturation
% 12.89/2.47 % (754463)Time elapsed: 0.293 s
% 12.89/2.47 % (754463)Peak memory usage: 12 MB
% 12.89/2.47 % (754463)Instructions burned: 674 (million)
% 12.89/2.47 % (754481)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=772748837:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/160Mi)
% 12.89/2.47 % (754481)Refutation not found, incomplete strategy
% 12.89/2.47 % (754481)------------------------------
% 12.89/2.47 % (754481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.89/2.47 % (754481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.47 % (754481)CaDiCaL version: 2.1.3
% 12.89/2.47 % (754481)Termination reason: Refutation not found, incomplete strategy
% 12.89/2.47 % (754481)Time elapsed: 0.001 s
% 12.89/2.47 % (754481)Peak memory usage: 11 MB
% 12.89/2.47 % (754481)Instructions burned: 1 (million)
% 12.89/2.47 % (754481)------------------------------
% 12.89/2.47 % (754481)------------------------------
% 12.89/2.47 % (754482)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=4093241415:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/763Mi)
% 12.89/2.47 % (754484)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 12.89/2.47 % (754484)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=2866824726:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2980 on theBenchmark for (2980ds/237Mi)
% 12.89/2.47 % (754477)Instruction limit reached!
% 12.89/2.47 % (754477)------------------------------
% 12.89/2.47 % (754477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.89/2.47 % (754477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.47 % (754477)CaDiCaL version: 2.1.3
% 12.89/2.47 % (754477)Termination reason: Instruction limit
% 12.89/2.47 % (754477)Termination phase: Saturation
% 12.89/2.47 % (754477)Time elapsed: 0.103 s
% 12.89/2.47 % (754477)Peak memory usage: 12 MB
% 12.89/2.47 % (754477)Instructions burned: 254 (million)
% 12.89/2.47 % (754484)Refutation not found, incomplete strategy
% 12.89/2.47 % (754484)------------------------------
% 12.89/2.47 % (754484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.89/2.47 % (754484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.89/2.47 % (754484)CaDiCaL version: 2.1.3
% 12.89/2.47 % (754484)Termination reason: Refutation not found, incomplete strategy
% 12.89/2.47 % (754484)Time elapsed: 0.0000 s
% 12.89/2.47 % (754484)Peak memory usage: 11 MB
% 12.89/2.47 % (754484)------------------------------
% 13.99/2.54 % (754484)------------------------------
% 13.99/2.54 % (754473)Instruction limit reached!
% 13.99/2.54 % (754473)------------------------------
% 13.99/2.54 % (754473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.54 % (754473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.54 % (754473)CaDiCaL version: 2.1.3
% 13.99/2.54 % (754473)Termination reason: Instruction limit
% 13.99/2.54 % (754473)Termination phase: Saturation
% 13.99/2.54 % (754473)Time elapsed: 0.159 s
% 13.99/2.54 % (754473)Peak memory usage: 12 MB
% 13.99/2.54 % (754473)Instructions burned: 367 (million)
% 13.99/2.54 % (754488)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=2002584662:i=300:piset=and:nm=32:rtra=on_2980 on theBenchmark for (2980ds/300Mi)
% 13.99/2.54 % (754487)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=3062568457:s2a=on:i=386:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/386Mi)
% 13.99/2.54 % (754489)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=1769804783:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/567Mi)
% 13.99/2.54 % (754489)Refutation not found, incomplete strategy
% 13.99/2.54 % (754489)------------------------------
% 13.99/2.54 % (754489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.54 % (754489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.54 % (754489)CaDiCaL version: 2.1.3
% 13.99/2.54 % (754489)Termination reason: Refutation not found, incomplete strategy
% 13.99/2.54 % (754489)Time elapsed: 0.001 s
% 13.99/2.54 % (754489)Peak memory usage: 11 MB
% 13.99/2.54 % (754489)Instructions burned: 1 (million)
% 13.99/2.54 % (754489)------------------------------
% 13.99/2.54 % (754489)------------------------------
% 13.99/2.54 % (754493)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1355153202:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2980 on theBenchmark for (2980ds/379Mi)
% 13.99/2.54 % (754493)Refutation not found, incomplete strategy
% 13.99/2.54 % (754493)------------------------------
% 13.99/2.54 % (754493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.54 % (754493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.54 % (754493)CaDiCaL version: 2.1.3
% 13.99/2.54 % (754493)Termination reason: Refutation not found, incomplete strategy
% 13.99/2.54 % (754493)Time elapsed: 0.001 s
% 13.99/2.54 % (754493)Peak memory usage: 11 MB
% 13.99/2.54 % (754493)------------------------------
% 13.99/2.54 % (754493)------------------------------
% 13.99/2.54 % (754495)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=3026680289:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2979 on theBenchmark for (2979ds/429Mi)
% 13.99/2.54 % (754488)Instruction limit reached!
% 13.99/2.54 % (754488)------------------------------
% 13.99/2.54 % (754488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.54 % (754488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.54 % (754488)CaDiCaL version: 2.1.3
% 13.99/2.54 % (754488)Termination reason: Instruction limit
% 13.99/2.54 % (754488)Termination phase: Saturation
% 13.99/2.54 % (754488)Time elapsed: 0.133 s
% 13.99/2.54 % (754488)Peak memory usage: 12 MB
% 13.99/2.54 % (754488)Instructions burned: 301 (million)
% 13.99/2.54 % (754497)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3888298276:i=478:bd=all:rtra=on_2979 on theBenchmark for (2979ds/478Mi)
% 13.99/2.54 % (754497)Refutation not found, incomplete strategy
% 13.99/2.54 % (754497)------------------------------
% 13.99/2.54 % (754497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.99/2.54 % (754497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.99/2.54 % (754497)CaDiCaL version: 2.1.3
% 13.99/2.54 % (754497)Termination reason: Refutation not found, incomplete strategy
% 13.99/2.54 % (754497)Time elapsed: 0.001 s
% 13.99/2.54 % (754497)Peak memory usage: 12 MB
% 13.99/2.54 % (754497)Instructions burned: 1 (million)
% 13.99/2.54 % (754497)------------------------------
% 13.99/2.54 % (754497)------------------------------
% 13.99/2.54 % (754499)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3621612598:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2978 on theBenchmark for (2978ds/445Mi)
% 13.99/2.54 % (754487)Instruction limit reached!
% 13.99/2.54 % (754487)------------------------------
% 13.99/2.54 % (754487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.40/2.70 % (754487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.40/2.70 % (754487)CaDiCaL version: 2.1.3
% 14.40/2.70 % (754487)Termination reason: Instruction limit
% 14.40/2.70 % (754487)Termination phase: Saturation
% 14.40/2.70 % (754487)Time elapsed: 0.188 s
% 14.40/2.70 % (754487)Peak memory usage: 12 MB
% 14.40/2.70 % (754487)Instructions burned: 386 (million)
% 14.40/2.70 % (754482)Instruction limit reached!
% 14.40/2.70 % (754482)------------------------------
% 14.40/2.70 % (754482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.40/2.70 % (754482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.40/2.70 % (754482)CaDiCaL version: 2.1.3
% 14.40/2.70 % (754482)Termination reason: Instruction limit
% 14.40/2.70 % (754482)Termination phase: Saturation
% 14.40/2.70 % (754482)Time elapsed: 0.252 s
% 14.40/2.70 % (754482)Peak memory usage: 13 MB
% 14.40/2.70 % (754482)Instructions burned: 763 (million)
% 14.40/2.70 % (754501)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1694016808:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/71Mi)
% 14.40/2.70 % (754503)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=801727414:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2978 on theBenchmark for (2978ds/302Mi)
% 14.40/2.70 % (754445)Instruction limit reached!
% 14.40/2.70 % (754445)------------------------------
% 14.40/2.70 % (754445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.40/2.70 % (754445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.40/2.70 % (754445)CaDiCaL version: 2.1.3
% 14.40/2.70 % (754445)Termination reason: Instruction limit
% 14.40/2.70 % (754445)Termination phase: Saturation
% 14.40/2.70 % (754503)Refutation not found, incomplete strategy
% 14.40/2.70 % (754503)------------------------------
% 14.40/2.70 % (754503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.40/2.70 % (754445)Time elapsed: 0.879 s
% 14.40/2.70 % (754445)Peak memory usage: 13 MB
% 14.40/2.70 % (754445)Instructions burned: 2186 (million)
% 14.40/2.70 % (754503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.40/2.70 % (754503)CaDiCaL version: 2.1.3
% 14.40/2.70 % (754503)Termination reason: Refutation not found, incomplete strategy
% 14.40/2.70 % (754503)Time elapsed: 0.001 s
% 14.40/2.70 % (754503)Peak memory usage: 11 MB
% 14.40/2.70 % (754503)------------------------------
% 14.40/2.70 % (754503)------------------------------
% 14.40/2.70 % (754506)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 14.40/2.70 % (754506)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 14.40/2.70 % (754501)Instruction limit reached!
% 14.40/2.70 % (754501)------------------------------
% 14.40/2.70 % (754501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.40/2.70 % (754501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.40/2.70 % (754501)CaDiCaL version: 2.1.3
% 14.40/2.70 % (754501)Termination reason: Instruction limit
% 14.40/2.70 % (754501)Termination phase: Saturation
% 14.40/2.70 % (754501)Time elapsed: 0.038 s
% 14.40/2.70 % (754505)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=323317565:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/4980Mi)
% 14.40/2.70 % (754501)Peak memory usage: 12 MB
% 14.40/2.70 % (754501)Instructions burned: 72 (million)
% 14.40/2.70 % (754506)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3373858359:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2977 on theBenchmark for (2977ds/100Mi)
% 14.40/2.70 % (754505)Refutation not found, incomplete strategy
% 14.40/2.70 % (754505)------------------------------
% 14.40/2.70 % (754505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.40/2.70 % (754505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.40/2.70 % (754505)CaDiCaL version: 2.1.3
% 14.40/2.70 % (754505)Termination reason: Refutation not found, incomplete strategy
% 14.40/2.70 % (754505)Time elapsed: 0.001 s
% 14.40/2.70 % (754505)Peak memory usage: 11 MB
% 14.40/2.70 % (754505)------------------------------
% 15.64/2.83 % (754505)------------------------------
% 15.64/2.83 % (754495)Instruction limit reached!
% 15.64/2.83 % (754495)------------------------------
% 15.64/2.83 % (754495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.64/2.83 % (754495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/2.83 % (754495)CaDiCaL version: 2.1.3
% 15.64/2.83 % (754495)Termination reason: Instruction limit
% 15.64/2.83 % (754495)Termination phase: Saturation
% 15.64/2.83 % (754495)Time elapsed: 0.200 s
% 15.64/2.83 % (754495)Peak memory usage: 12 MB
% 15.64/2.83 % (754495)Instructions burned: 429 (million)
% 15.64/2.83 % (754508)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=2256945692:i=76:piset=equals:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/76Mi)
% 15.64/2.83 % (754510)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=31358144:i=289:rtra=on_2977 on theBenchmark for (2977ds/289Mi)
% 15.64/2.83 % (754510)Refutation not found, incomplete strategy
% 15.64/2.83 % (754510)------------------------------
% 15.64/2.83 % (754510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.64/2.83 % (754510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/2.83 % (754510)CaDiCaL version: 2.1.3
% 15.64/2.83 % (754510)Termination reason: Refutation not found, incomplete strategy
% 15.64/2.83 % (754510)Time elapsed: 0.001 s
% 15.64/2.83 % (754510)Peak memory usage: 11 MB
% 15.64/2.83 % (754510)Instructions burned: 1 (million)
% 15.64/2.83 % (754510)------------------------------
% 15.64/2.83 % (754510)------------------------------
% 15.64/2.83 % (754511)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=2485473350:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2977 on theBenchmark for (2977ds/493Mi)
% 15.64/2.83 % (754514)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=357088322:cond=on:i=34:hud=10:nm=10:rtra=on_2977 on theBenchmark for (2977ds/34Mi)
% 15.64/2.83 % (754506)Instruction limit reached!
% 15.64/2.83 % (754506)------------------------------
% 15.64/2.83 % (754506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.64/2.83 % (754506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/2.83 % (754506)CaDiCaL version: 2.1.3
% 15.64/2.83 % (754506)Termination reason: Instruction limit
% 15.64/2.83 % (754506)Termination phase: Saturation
% 15.64/2.83 % (754506)Time elapsed: 0.046 s
% 15.64/2.83 % (754506)Peak memory usage: 12 MB
% 15.64/2.83 % (754506)Instructions burned: 100 (million)
% 15.64/2.83 % (754508)Instruction limit reached!
% 15.64/2.83 % (754508)------------------------------
% 15.64/2.83 % (754508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.64/2.83 % (754508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/2.83 % (754508)CaDiCaL version: 2.1.3
% 15.64/2.83 % (754508)Termination reason: Instruction limit
% 15.64/2.83 % (754508)Termination phase: Saturation
% 15.64/2.83 % (754508)Time elapsed: 0.037 s
% 15.64/2.83 % (754508)Peak memory usage: 12 MB
% 15.64/2.83 % (754508)Instructions burned: 77 (million)
% 15.64/2.83 % (754514)Instruction limit reached!
% 15.64/2.83 % (754514)------------------------------
% 15.64/2.83 % (754514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.64/2.83 % (754514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.64/2.83 % (754514)CaDiCaL version: 2.1.3
% 15.64/2.83 % (754514)Termination reason: Instruction limit
% 15.64/2.83 % (754514)Termination phase: Saturation
% 15.64/2.83 % (754514)Time elapsed: 0.018 s
% 15.64/2.83 % (754514)Peak memory usage: 12 MB
% 15.64/2.83 % (754514)Instructions burned: 36 (million)
% 15.64/2.83 % (754517)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 15.64/2.83 % (754517)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=1396785917:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2977 on theBenchmark for (2977ds/372Mi)
% 15.64/2.83 % (754517)Refutation not found, incomplete strategy
% 15.64/2.83 % (754517)------------------------------
% 15.64/2.83 % (754517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.58/2.94 % (754517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/2.94 % (754517)CaDiCaL version: 2.1.3
% 16.58/2.94 % (754517)Termination reason: Refutation not found, incomplete strategy
% 16.58/2.94 % (754517)Time elapsed: 0.002 s
% 16.58/2.94 % (754517)Peak memory usage: 11 MB
% 16.58/2.94 % (754517)Instructions burned: 2 (million)
% 16.58/2.94 % (754517)------------------------------
% 16.58/2.94 % (754517)------------------------------
% 16.58/2.94 % (754518)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=3482078572:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2977 on theBenchmark for (2977ds/670Mi)
% 16.58/2.94 % (754519)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1736584364:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2977 on theBenchmark for (2977ds/647Mi)
% 16.58/2.94 % (754519)Refutation not found, incomplete strategy
% 16.58/2.94 % (754519)------------------------------
% 16.58/2.94 % (754519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.58/2.94 % (754519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/2.94 % (754519)CaDiCaL version: 2.1.3
% 16.58/2.94 % (754519)Termination reason: Refutation not found, incomplete strategy
% 16.58/2.94 % (754519)Time elapsed: 0.0000 s
% 16.58/2.94 % (754519)Peak memory usage: 11 MB
% 16.58/2.94 % (754519)------------------------------
% 16.58/2.94 % (754519)------------------------------
% 16.58/2.94 % (754521)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=3685350450:i=857:add=off:kws=frequency:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/857Mi)
% 16.58/2.94 % (754524)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=2218113422:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2976 on theBenchmark for (2976ds/693Mi)
% 16.58/2.94 % (754499)Instruction limit reached!
% 16.58/2.94 % (754499)------------------------------
% 16.58/2.94 % (754499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.58/2.94 % (754499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/2.94 % (754499)CaDiCaL version: 2.1.3
% 16.58/2.94 % (754499)Termination reason: Instruction limit
% 16.58/2.94 % (754499)Termination phase: Saturation
% 16.58/2.94 % (754499)Time elapsed: 0.224 s
% 16.58/2.94 % (754499)Peak memory usage: 14 MB
% 16.58/2.94 % (754499)Instructions burned: 447 (million)
% 16.58/2.94 % (754527)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=1184037234:i=285:hud=10:bd=all:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/285Mi)
% 16.58/2.94 % (754527)Refutation not found, incomplete strategy
% 16.58/2.94 % (754527)------------------------------
% 16.58/2.94 % (754527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.58/2.94 % (754527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/2.94 % (754527)CaDiCaL version: 2.1.3
% 16.58/2.94 % (754527)Termination reason: Refutation not found, incomplete strategy
% 16.58/2.94 % (754527)Time elapsed: 0.001 s
% 16.58/2.94 % (754527)Peak memory usage: 11 MB
% 16.58/2.94 % (754527)Instructions burned: 1 (million)
% 16.58/2.94 % (754527)------------------------------
% 16.58/2.94 % (754527)------------------------------
% 16.58/2.94 % (754529)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 16.58/2.94 % (754529)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=2777295826:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2976 on theBenchmark for (2976ds/52Mi)
% 16.58/2.94 % (754529)Instruction limit reached!
% 16.58/2.94 % (754529)------------------------------
% 16.58/2.94 % (754529)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.58/2.94 % (754529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/2.94 % (754529)CaDiCaL version: 2.1.3
% 16.58/2.94 % (754529)Termination reason: Instruction limit
% 16.58/2.94 % (754529)Termination phase: Saturation
% 16.58/2.94 % (754529)Time elapsed: 0.020 s
% 16.58/2.94 % (754529)Peak memory usage: 12 MB
% 16.58/2.94 % (754529)Instructions burned: 55 (million)
% 16.58/2.94 % (754531)dis+10_1_si=on:random_seed=1574635144:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2975 on theBenchmark for (2975ds/407Mi)
% 19.02/3.28 % (754531)Refutation not found, incomplete strategy
% 19.02/3.28 % (754531)------------------------------
% 19.02/3.28 % (754531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.02/3.28 % (754531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.02/3.28 % (754531)CaDiCaL version: 2.1.3
% 19.02/3.28 % (754531)Termination reason: Refutation not found, incomplete strategy
% 19.02/3.28 % (754531)Time elapsed: 0.001 s
% 19.02/3.28 % (754531)Peak memory usage: 11 MB
% 19.02/3.28 % (754531)------------------------------
% 19.02/3.28 % (754531)------------------------------
% 19.02/3.28 % (754533)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=4235911562:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/2240Mi)
% 19.02/3.28 % (754511)Instruction limit reached!
% 19.02/3.28 % (754511)------------------------------
% 19.02/3.28 % (754511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.02/3.28 % (754511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.02/3.28 % (754511)CaDiCaL version: 2.1.3
% 19.02/3.28 % (754511)Termination reason: Instruction limit
% 19.02/3.28 % (754511)Termination phase: Saturation
% 19.02/3.28 % (754511)Time elapsed: 0.214 s
% 19.02/3.28 % (754511)Peak memory usage: 13 MB
% 19.02/3.28 % (754511)Instructions burned: 494 (million)
% 19.02/3.28 % (754535)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=1946406612:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2975 on theBenchmark for (2975ds/336Mi)
% 19.02/3.28 % (754535)Refutation not found, incomplete strategy
% 19.02/3.28 % (754535)------------------------------
% 19.02/3.28 % (754535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.02/3.28 % (754535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.02/3.28 % (754535)CaDiCaL version: 2.1.3
% 19.02/3.28 % (754535)Termination reason: Refutation not found, incomplete strategy
% 19.02/3.28 % (754535)Time elapsed: 0.001 s
% 19.02/3.28 % (754535)Peak memory usage: 12 MB
% 19.02/3.28 % (754535)------------------------------
% 19.02/3.28 % (754535)------------------------------
% 19.02/3.28 % (754537)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=3305939155:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2975 on theBenchmark for (2975ds/1142Mi)
% 19.02/3.28 % (754518)Instruction limit reached!
% 19.02/3.28 % (754518)------------------------------
% 19.02/3.28 % (754518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.02/3.28 % (754518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.02/3.28 % (754518)CaDiCaL version: 2.1.3
% 19.02/3.28 % (754518)Termination reason: Instruction limit
% 19.02/3.28 % (754518)Termination phase: Saturation
% 19.02/3.28 % (754518)Time elapsed: 0.244 s
% 19.02/3.28 % (754518)Peak memory usage: 12 MB
% 19.02/3.28 % (754518)Instructions burned: 672 (million)
% 19.02/3.28 % (754539)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=1999941159:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2974 on theBenchmark for (2974ds/376Mi)
% 19.02/3.28 % (754539)Refutation not found, incomplete strategy
% 19.02/3.28 % (754539)------------------------------
% 19.02/3.28 % (754539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.02/3.28 % (754539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.02/3.28 % (754539)CaDiCaL version: 2.1.3
% 19.02/3.28 % (754539)Termination reason: Refutation not found, incomplete strategy
% 19.02/3.28 % (754539)Time elapsed: 0.001 s
% 19.02/3.28 % (754539)Peak memory usage: 11 MB
% 19.02/3.28 % (754539)------------------------------
% 19.02/3.28 % (754539)------------------------------
% 19.02/3.28 % (754541)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3909442705:i=766:bd=all:rtra=on_2974 on theBenchmark for (2974ds/766Mi)
% 19.02/3.28 % (754541)Refutation not found, incomplete strategy
% 19.02/3.28 % (754541)------------------------------
% 19.02/3.28 % (754541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.02/3.28 % (754541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.02/3.28 % (754541)CaDiCaL version: 2.1.3
% 19.02/3.28 % (754541)Termination reason: Refutation not found, incomplete strategy
% 19.02/3.28 % (754541)Time elapsed: 0.001 s
% 19.02/3.28 % (754541)Peak memory usage: 12 MB
% 20.34/3.41 % (754541)Instructions burned: 1 (million)
% 20.34/3.41 % (754541)------------------------------
% 20.34/3.41 % (754541)------------------------------
% 20.34/3.41 % (754543)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 20.34/3.41 % (754524)Instruction limit reached!
% 20.34/3.41 % (754524)------------------------------
% 20.34/3.41 % (754524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.34/3.41 % (754524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/3.41 % (754524)CaDiCaL version: 2.1.3
% 20.34/3.41 % (754524)Termination reason: Instruction limit
% 20.34/3.41 % (754524)Termination phase: Saturation
% 20.34/3.41 % (754524)Time elapsed: 0.276 s
% 20.34/3.41 % (754524)Peak memory usage: 12 MB
% 20.34/3.41 % (754524)Instructions burned: 693 (million)
% 20.34/3.41 % (754543)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=551859836:st=3:uwa_fpi=on:i=959:fgj=on:piset=pi_sigma:hud=5:nm=16:rtra=on:fe=abstraction:ss=axioms:ixr=off:ntd=on_2974 on theBenchmark for (2974ds/959Mi)
% 20.34/3.41 % (754543)Refutation not found, incomplete strategy
% 20.34/3.41 % (754543)------------------------------
% 20.34/3.41 % (754543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.34/3.41 % (754543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/3.41 % (754543)CaDiCaL version: 2.1.3
% 20.34/3.41 % (754543)Termination reason: Refutation not found, incomplete strategy
% 20.34/3.41 % (754543)Time elapsed: 0.0000 s
% 20.34/3.41 % (754543)Peak memory usage: 11 MB
% 20.34/3.41 % (754543)------------------------------
% 20.34/3.41 % (754543)------------------------------
% 20.34/3.41 % (754544)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=1095480803:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2974 on theBenchmark for (2974ds/6359Mi)
% 20.34/3.41 % (754546)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1809877490:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2973 on theBenchmark for (2973ds/35Mi)
% 20.34/3.41 % (754546)Refutation not found, incomplete strategy
% 20.34/3.41 % (754546)------------------------------
% 20.34/3.41 % (754546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.34/3.41 % (754546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/3.41 % (754546)CaDiCaL version: 2.1.3
% 20.34/3.41 % (754546)Termination reason: Refutation not found, incomplete strategy
% 20.34/3.41 % (754546)Time elapsed: 0.0000 s
% 20.34/3.41 % (754546)Peak memory usage: 11 MB
% 20.34/3.41 % (754546)------------------------------
% 20.34/3.41 % (754546)------------------------------
% 20.34/3.41 % (754549)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1555368239:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2973 on theBenchmark for (2973ds/53Mi)
% 20.34/3.41 % (754521)Instruction limit reached!
% 20.34/3.41 % (754521)------------------------------
% 20.34/3.41 % (754521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.34/3.41 % (754521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/3.41 % (754521)CaDiCaL version: 2.1.3
% 20.34/3.41 % (754521)Termination reason: Instruction limit
% 20.34/3.41 % (754521)Termination phase: Saturation
% 20.34/3.41 % (754521)Time elapsed: 0.331 s
% 20.34/3.41 % (754521)Peak memory usage: 12 MB
% 20.34/3.41 % (754521)Instructions burned: 858 (million)
% 20.34/3.41 % (754551)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=1769022207:s2a=on:i=876:s2at=6:nm=2:rtra=on_2973 on theBenchmark for (2973ds/876Mi)
% 20.34/3.41 % (754549)Instruction limit reached!
% 20.34/3.41 % (754549)------------------------------
% 20.34/3.41 % (754549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.34/3.41 % (754549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.34/3.41 % (754549)CaDiCaL version: 2.1.3
% 20.34/3.41 % (754549)Termination reason: Instruction limit
% 20.34/3.41 % (754549)Termination phase: Saturation
% 20.34/3.41 % (754549)Time elapsed: 0.028 s
% 20.34/3.41 % (754549)Peak memory usage: 12 MB
% 20.34/3.41 % (754549)Instructions burned: 53 (million)
% 20.34/3.41 % (754553)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2555805915:i=57:ep=R:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/57Mi)
% 21.09/3.51 % (754553)Instruction limit reached!
% 21.09/3.51 % (754553)------------------------------
% 21.09/3.51 % (754553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.09/3.51 % (754553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.09/3.51 % (754553)CaDiCaL version: 2.1.3
% 21.09/3.51 % (754553)Termination reason: Instruction limit
% 21.09/3.51 % (754553)Termination phase: Saturation
% 21.09/3.51 % (754553)Time elapsed: 0.027 s
% 21.09/3.51 % (754553)Peak memory usage: 12 MB
% 21.09/3.51 % (754553)Instructions burned: 57 (million)
% 21.09/3.51 % (754555)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 21.09/3.51 % (754555)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2296363265:i=306:bd=all:rtra=on_2972 on theBenchmark for (2972ds/306Mi)
% 21.09/3.51 % (754555)Refutation not found, incomplete strategy
% 21.09/3.51 % (754555)------------------------------
% 21.09/3.51 % (754555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.09/3.51 % (754555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.09/3.51 % (754555)CaDiCaL version: 2.1.3
% 21.09/3.51 % (754555)Termination reason: Refutation not found, incomplete strategy
% 21.09/3.51 % (754555)Time elapsed: 0.001 s
% 21.09/3.51 % (754555)Peak memory usage: 11 MB
% 21.09/3.51 % (754555)Instructions burned: 1 (million)
% 21.09/3.51 % (754555)------------------------------
% 21.09/3.51 % (754555)------------------------------
% 21.09/3.51 % (754557)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3987607699:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/262Mi)
% 21.09/3.51 % (754557)Refutation not found, incomplete strategy
% 21.09/3.51 % (754557)------------------------------
% 21.09/3.51 % (754557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.09/3.51 % (754557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.09/3.51 % (754557)CaDiCaL version: 2.1.3
% 21.09/3.51 % (754557)Termination reason: Refutation not found, incomplete strategy
% 21.09/3.51 % (754557)Time elapsed: 0.001 s
% 21.09/3.51 % (754557)Peak memory usage: 11 MB
% 21.09/3.51 % (754557)------------------------------
% 21.09/3.51 % (754557)------------------------------
% 21.09/3.51 % (754559)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 21.09/3.51 % (754559)ott+1002_16_sil=128000:si=on:random_seed=2148904509:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2972 on theBenchmark for (2972ds/409Mi)
% 21.09/3.51 % (754559)Instruction limit reached!
% 21.09/3.51 % (754559)------------------------------
% 21.09/3.51 % (754559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.09/3.51 % (754559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.09/3.51 % (754559)CaDiCaL version: 2.1.3
% 21.09/3.51 % (754559)Termination reason: Instruction limit
% 21.09/3.51 % (754559)Termination phase: Saturation
% 21.09/3.51 % (754559)Time elapsed: 0.159 s
% 21.09/3.51 % (754559)Peak memory usage: 13 MB
% 21.09/3.51 % (754559)Instructions burned: 410 (million)
% 21.09/3.51 % (754561)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1009102348:s2a=on:i=381:rtra=on_2970 on theBenchmark for (2970ds/381Mi)
% 21.09/3.51 % (754551)Instruction limit reached!
% 21.09/3.51 % (754551)------------------------------
% 21.09/3.51 % (754551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.09/3.51 % (754551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.09/3.51 % (754551)CaDiCaL version: 2.1.3
% 21.09/3.51 % (754551)Termination reason: Instruction limit
% 21.09/3.51 % (754551)Termination phase: Saturation
% 21.09/3.51 % (754551)Time elapsed: 0.343 s
% 21.09/3.51 % (754551)Peak memory usage: 13 MB
% 21.09/3.51 % (754551)Instructions burned: 877 (million)
% 21.09/3.51 % (754563)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1130884556:cond=on:i=324:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/324Mi)
% 21.09/3.51 % (754537)Instruction limit reached!
% 21.09/3.51 % (754537)------------------------------
% 21.09/3.51 % (754537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.09/3.51 % (754537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.09/3.51 % (754537)CaDiCaL version: 2.1.3
% 22.30/3.71 % (754537)Termination reason: Instruction limit
% 22.30/3.71 % (754537)Termination phase: Saturation
% 22.30/3.71 % (754537)Time elapsed: 0.524 s
% 22.30/3.71 % (754537)Peak memory usage: 14 MB
% 22.30/3.71 % (754537)Instructions burned: 1144 (million)
% 22.30/3.71 % (754565)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2998444731:i=240:kws=inv_precedence:rtra=on_2969 on theBenchmark for (2969ds/240Mi)
% 22.30/3.71 % (754565)Refutation not found, incomplete strategy
% 22.30/3.71 % (754565)------------------------------
% 22.30/3.71 % (754565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/3.71 % (754565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/3.71 % (754565)CaDiCaL version: 2.1.3
% 22.30/3.71 % (754565)Termination reason: Refutation not found, incomplete strategy
% 22.30/3.71 % (754565)Time elapsed: 0.001 s
% 22.30/3.71 % (754565)Peak memory usage: 11 MB
% 22.30/3.71 % (754565)Instructions burned: 1 (million)
% 22.30/3.71 % (754565)------------------------------
% 22.30/3.71 % (754565)------------------------------
% 22.30/3.71 % (754561)Instruction limit reached!
% 22.30/3.71 % (754561)------------------------------
% 22.30/3.71 % (754561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/3.71 % (754561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/3.71 % (754561)CaDiCaL version: 2.1.3
% 22.30/3.71 % (754561)Termination reason: Instruction limit
% 22.30/3.71 % (754561)Termination phase: Saturation
% 22.30/3.71 % (754561)Time elapsed: 0.114 s
% 22.30/3.71 % (754561)Peak memory usage: 12 MB
% 22.30/3.71 % (754561)Instructions burned: 381 (million)
% 22.30/3.71 % (754567)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 22.30/3.71 % (754563)Instruction limit reached!
% 22.30/3.71 % (754563)------------------------------
% 22.30/3.71 % (754563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/3.71 % (754563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/3.71 % (754563)CaDiCaL version: 2.1.3
% 22.30/3.71 % (754563)Termination reason: Instruction limit
% 22.30/3.71 % (754563)Termination phase: Saturation
% 22.30/3.71 % (754563)Time elapsed: 0.061 s
% 22.30/3.71 % (754563)Peak memory usage: 12 MB
% 22.30/3.71 % (754563)Instructions burned: 324 (million)
% 22.30/3.71 % (754567)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=92703822:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2969 on theBenchmark for (2969ds/124Mi)
% 22.30/3.71 % (754568)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=1300373338:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2969 on theBenchmark for (2969ds/223Mi)
% 22.30/3.71 % (754569)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2713155715:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2969 on theBenchmark for (2969ds/282Mi)
% 22.30/3.71 % (754567)Instruction limit reached!
% 22.30/3.71 % (754567)------------------------------
% 22.30/3.71 % (754567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/3.71 % (754567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/3.71 % (754567)CaDiCaL version: 2.1.3
% 22.30/3.71 % (754567)Termination reason: Instruction limit
% 22.30/3.71 % (754567)Termination phase: Saturation
% 22.30/3.71 % (754567)Time elapsed: 0.054 s
% 22.30/3.71 % (754567)Peak memory usage: 12 MB
% 22.30/3.71 % (754567)Instructions burned: 125 (million)
% 22.30/3.71 % (754569)Instruction limit reached!
% 22.30/3.71 % (754569)------------------------------
% 22.30/3.71 % (754569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/3.71 % (754569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.30/3.71 % (754569)CaDiCaL version: 2.1.3
% 22.30/3.71 % (754569)Termination reason: Instruction limit
% 22.30/3.71 % (754569)Termination phase: Saturation
% 22.30/3.71 % (754569)Time elapsed: 0.069 s
% 22.30/3.71 % (754569)Peak memory usage: 13 MB
% 22.30/3.71 % (754569)Instructions burned: 283 (million)
% 22.30/3.71 % (754573)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3972104171:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/464Mi)
% 22.30/3.71 % (754573)Refutation not found, incomplete strategy
% 22.30/3.71 % (754573)------------------------------
% 22.30/3.71 % (754573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.30/3.71 % (754573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.86 % (754573)CaDiCaL version: 2.1.3
% 22.66/3.86 % (754573)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.86 % (754573)Time elapsed: 0.002 s
% 22.66/3.86 % (754573)Peak memory usage: 11 MB
% 22.66/3.86 % (754573)Instructions burned: 1 (million)
% 22.66/3.86 % (754573)------------------------------
% 22.66/3.86 % (754573)------------------------------
% 22.66/3.86 % (754568)Instruction limit reached!
% 22.66/3.86 % (754568)------------------------------
% 22.66/3.86 % (754568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.86 % (754568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.86 % (754568)CaDiCaL version: 2.1.3
% 22.66/3.86 % (754568)Termination reason: Instruction limit
% 22.66/3.86 % (754568)Termination phase: Saturation
% 22.66/3.86 % (754568)Time elapsed: 0.084 s
% 22.66/3.86 % (754568)Peak memory usage: 12 MB
% 22.66/3.86 % (754568)Instructions burned: 225 (million)
% 22.66/3.86 % (754576)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=2754173192:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2968 on theBenchmark for (2968ds/280Mi)
% 22.66/3.86 % (754575)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=2348892529:i=88:s2at=3:nm=2:rtra=on:rawr=on_2968 on theBenchmark for (2968ds/88Mi)
% 22.66/3.86 % (754577)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 22.66/3.86 % (754577)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=1704127097:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/4386Mi)
% 22.66/3.86 % (754575)Instruction limit reached!
% 22.66/3.86 % (754575)------------------------------
% 22.66/3.86 % (754575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.86 % (754575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.86 % (754575)CaDiCaL version: 2.1.3
% 22.66/3.86 % (754575)Termination reason: Instruction limit
% 22.66/3.86 % (754575)Termination phase: Saturation
% 22.66/3.86 % (754575)Time elapsed: 0.039 s
% 22.66/3.86 % (754575)Peak memory usage: 12 MB
% 22.66/3.86 % (754575)Instructions burned: 89 (million)
% 22.66/3.86 % (754581)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 22.66/3.86 % (754581)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 22.66/3.86 % (754581)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=3140474998:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2967 on theBenchmark for (2967ds/483Mi)
% 22.66/3.86 % (754581)Refutation not found, incomplete strategy
% 22.66/3.86 % (754581)------------------------------
% 22.66/3.86 % (754581)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.86 % (754581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.86 % (754581)CaDiCaL version: 2.1.3
% 22.66/3.86 % (754581)Termination reason: Refutation not found, incomplete strategy
% 22.66/3.86 % (754581)Time elapsed: 0.001 s
% 22.66/3.86 % (754581)Peak memory usage: 12 MB
% 22.66/3.86 % (754581)------------------------------
% 22.66/3.86 % (754581)------------------------------
% 22.66/3.86 % (754576)Instruction limit reached!
% 22.66/3.86 % (754576)------------------------------
% 22.66/3.86 % (754576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.66/3.86 % (754576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.66/3.86 % (754576)CaDiCaL version: 2.1.3
% 22.66/3.86 % (754576)Termination reason: Instruction limit
% 22.66/3.86 % (754576)Termination phase: Saturation
% 22.66/3.86 % (754576)Time elapsed: 0.071 s
% 22.66/3.86 % (754576)Peak memory usage: 12 MB
% 22.66/3.86 % (754576)Instructions burned: 281 (million)
% 22.66/3.86 % (754584)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=1936302765:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2967 on theBenchmark for (2967ds/176Mi)
% 22.66/3.86 % (754583)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=2720467456:i=73:rtra=on_2967 on theBenchmark for (2967ds/73Mi)
% 24.82/4.08 % (754583)Refutation not found, incomplete strategy
% 24.82/4.08 % (754583)------------------------------
% 24.82/4.08 % (754583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.82/4.08 % (754583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.82/4.08 % (754583)CaDiCaL version: 2.1.3
% 24.82/4.08 % (754583)Termination reason: Refutation not found, incomplete strategy
% 24.82/4.08 % (754583)Time elapsed: 0.001 s
% 24.82/4.08 % (754583)Peak memory usage: 11 MB
% 24.82/4.08 % (754583)Instructions burned: 1 (million)
% 24.82/4.08 % (754583)------------------------------
% 24.82/4.08 % (754583)------------------------------
% 24.82/4.08 % (754587)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 24.82/4.08 % (754587)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=4209801413:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2967 on theBenchmark for (2967ds/39Mi)
% 24.82/4.08 % (754584)Instruction limit reached!
% 24.82/4.08 % (754584)------------------------------
% 24.82/4.08 % (754584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.82/4.08 % (754584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.82/4.08 % (754584)CaDiCaL version: 2.1.3
% 24.82/4.08 % (754584)Termination reason: Instruction limit
% 24.82/4.08 % (754584)Termination phase: Saturation
% 24.82/4.08 % (754584)Time elapsed: 0.041 s
% 24.82/4.08 % (754584)Peak memory usage: 12 MB
% 24.82/4.08 % (754584)Instructions burned: 180 (million)
% 24.82/4.08 % (754587)Instruction limit reached!
% 24.82/4.08 % (754587)------------------------------
% 24.82/4.08 % (754587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.82/4.08 % (754587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.82/4.08 % (754587)CaDiCaL version: 2.1.3
% 24.82/4.08 % (754587)Termination reason: Instruction limit
% 24.82/4.08 % (754587)Termination phase: Saturation
% 24.82/4.08 % (754587)Time elapsed: 0.020 s
% 24.82/4.08 % (754587)Peak memory usage: 12 MB
% 24.82/4.08 % (754587)Instructions burned: 39 (million)
% 24.82/4.08 % (754589)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=255229834:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2967 on theBenchmark for (2967ds/708Mi)
% 24.82/4.08 % (754590)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
% 24.82/4.08 % (754590)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=3813467100:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2966 on theBenchmark for (2966ds/252Mi)
% 24.82/4.08 % (754590)Instruction limit reached!
% 24.82/4.08 % (754590)------------------------------
% 24.82/4.08 % (754590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.82/4.08 % (754590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.82/4.08 % (754590)CaDiCaL version: 2.1.3
% 24.82/4.08 % (754590)Termination reason: Instruction limit
% 24.82/4.08 % (754590)Termination phase: Saturation
% 24.82/4.08 % (754590)Time elapsed: 0.105 s
% 24.82/4.08 % (754590)Peak memory usage: 12 MB
% 24.82/4.08 % (754590)Instructions burned: 252 (million)
% 24.82/4.08 % (754589)Instruction limit reached!
% 24.82/4.08 % (754589)------------------------------
% 24.82/4.08 % (754589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.82/4.08 % (754589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.82/4.08 % (754589)CaDiCaL version: 2.1.3
% 24.82/4.08 % (754589)Termination reason: Instruction limit
% 24.82/4.08 % (754589)Termination phase: Saturation
% 24.82/4.08 % (754589)Time elapsed: 0.135 s
% 24.82/4.08 % (754589)Peak memory usage: 14 MB
% 24.82/4.08 % (754589)Instructions burned: 710 (million)
% 24.82/4.08 % (754594)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=942011515:i=823:fsr=off:rtra=on_2965 on theBenchmark for (2965ds/823Mi)
% 24.82/4.08 % (754596)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 24.82/4.08 % (754596)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=3929505727:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2965 on theBenchmark for (2965ds/16202Mi)
% 24.82/4.08 % (754596)Refutation not found, incomplete strategy
% 25.99/4.21 % (754596)------------------------------
% 25.99/4.21 % (754596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.99/4.21 % (754596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/4.21 % (754596)CaDiCaL version: 2.1.3
% 25.99/4.21 % (754596)Termination reason: Refutation not found, incomplete strategy
% 25.99/4.21 % (754596)Time elapsed: 0.0000 s
% 25.99/4.21 % (754596)Peak memory usage: 11 MB
% 25.99/4.21 % (754596)Instructions burned: 1 (million)
% 25.99/4.21 % (754596)------------------------------
% 25.99/4.21 % (754596)------------------------------
% 25.99/4.21 % (754598)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=1741166895:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2965 on theBenchmark for (2965ds/300Mi)
% 25.99/4.21 % (754461)Instruction limit reached!
% 25.99/4.21 % (754461)------------------------------
% 25.99/4.21 % (754461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.99/4.21 % (754461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/4.21 % (754461)CaDiCaL version: 2.1.3
% 25.99/4.21 % (754461)Termination reason: Instruction limit
% 25.99/4.21 % (754461)Termination phase: Saturation
% 25.99/4.21 % (754461)Time elapsed: 1.969 s
% 25.99/4.21 % (754461)Peak memory usage: 16 MB
% 25.99/4.21 % (754461)Instructions burned: 2470 (million)
% 25.99/4.21 % (754600)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 25.99/4.21 % (754600)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 25.99/4.21 % (754600)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3064309509:i=177:add=on:bd=preordered:rtra=on:rawr=on_2965 on theBenchmark for (2965ds/177Mi)
% 25.99/4.21 % (754600)Instruction limit reached!
% 25.99/4.21 % (754600)------------------------------
% 25.99/4.21 % (754600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.99/4.21 % (754600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/4.21 % (754600)CaDiCaL version: 2.1.3
% 25.99/4.21 % (754600)Termination reason: Instruction limit
% 25.99/4.21 % (754600)Termination phase: Saturation
% 25.99/4.21 % (754600)Time elapsed: 0.042 s
% 25.99/4.21 % (754600)Peak memory usage: 12 MB
% 25.99/4.21 % (754600)Instructions burned: 177 (million)
% 25.99/4.21 % (754602)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=3651737420:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2964 on theBenchmark for (2964ds/715Mi)
% 25.99/4.21 % (754602)Refutation not found, incomplete strategy
% 25.99/4.21 % (754602)------------------------------
% 25.99/4.21 % (754602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.99/4.21 % (754602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/4.21 % (754602)CaDiCaL version: 2.1.3
% 25.99/4.21 % (754602)Termination reason: Refutation not found, incomplete strategy
% 25.99/4.21 % (754602)Time elapsed: 0.0000 s
% 25.99/4.21 % (754602)Peak memory usage: 11 MB
% 25.99/4.21 % (754602)Instructions burned: 2 (million)
% 25.99/4.21 % (754602)------------------------------
% 25.99/4.21 % (754602)------------------------------
% 25.99/4.21 % (754604)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 25.99/4.21 % (754604)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 25.99/4.21 % (754604)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=1272490078:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2964 on theBenchmark for (2964ds/230Mi)
% 25.99/4.21 % (754604)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 25.99/4.21 % (754533)Instruction limit reached!
% 25.99/4.21 % (754533)------------------------------
% 25.99/4.21 % (754533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.99/4.21 % (754533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.99/4.21 % (754533)CaDiCaL version: 2.1.3
% 25.99/4.21 % (754533)Termination reason: Instruction limit
% 25.99/4.21 % (754533)Termination phase: Saturation
% 25.99/4.21 % (754533)Time elapsed: 1.143 s
% 25.99/4.21 % (754533)Peak memory usage: 17 MB
% 25.99/4.21 % (754533)Instructions burned: 2241 (million)
% 26.49/4.30 % (754598)Instruction limit reached!
% 26.49/4.30 % (754598)------------------------------
% 26.49/4.30 % (754598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.49/4.30 % (754598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.49/4.30 % (754598)CaDiCaL version: 2.1.3
% 26.49/4.30 % (754598)Termination reason: Instruction limit
% 26.49/4.30 % (754598)Termination phase: Saturation
% 26.49/4.30 % (754598)Time elapsed: 0.146 s
% 26.49/4.30 % (754598)Peak memory usage: 12 MB
% 26.49/4.30 % (754598)Instructions burned: 300 (million)
% 26.49/4.30 % (754604)Instruction limit reached!
% 26.49/4.30 % (754604)------------------------------
% 26.49/4.30 % (754604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.49/4.30 % (754604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.49/4.30 % (754604)CaDiCaL version: 2.1.3
% 26.49/4.30 % (754604)Termination reason: Instruction limit
% 26.49/4.30 % (754604)Termination phase: Saturation
% 26.49/4.30 % (754604)Time elapsed: 0.057 s
% 26.49/4.30 % (754604)Peak memory usage: 13 MB
% 26.49/4.30 % (754604)Instructions burned: 233 (million)
% 26.49/4.30 % (754608)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1568506028:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2963 on theBenchmark for (2963ds/445Mi)
% 26.49/4.30 % (754607)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 26.49/4.30 % (754606)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=53588562:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2963 on theBenchmark for (2963ds/606Mi)
% 26.49/4.30 % (754607)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=4020556181:lrd=on:i=841:nm=0:rtra=on_2963 on theBenchmark for (2963ds/841Mi)
% 26.49/4.30 % (754608)Instruction limit reached!
% 26.49/4.30 % (754608)------------------------------
% 26.49/4.30 % (754608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.49/4.30 % (754608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.49/4.30 % (754608)CaDiCaL version: 2.1.3
% 26.49/4.30 % (754608)Termination reason: Instruction limit
% 26.49/4.30 % (754608)Termination phase: Saturation
% 26.49/4.30 % (754608)Time elapsed: 0.119 s
% 26.49/4.30 % (754608)Peak memory usage: 14 MB
% 26.49/4.30 % (754608)Instructions burned: 449 (million)
% 26.49/4.30 % (754612)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=4099532573:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2962 on theBenchmark for (2962ds/71Mi)
% 26.49/4.30 % (754612)Instruction limit reached!
% 26.49/4.30 % (754612)------------------------------
% 26.49/4.30 % (754612)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.49/4.30 % (754612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.49/4.30 % (754612)CaDiCaL version: 2.1.3
% 26.49/4.30 % (754612)Termination reason: Instruction limit
% 26.49/4.30 % (754612)Termination phase: Saturation
% 26.49/4.30 % (754612)Time elapsed: 0.021 s
% 26.49/4.30 % (754612)Peak memory usage: 12 MB
% 26.49/4.30 % (754612)Instructions burned: 72 (million)
% 26.49/4.30 % (754614)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 26.49/4.30 % (754614)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 26.49/4.30 % (754614)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4250320688:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2962 on theBenchmark for (2962ds/100Mi)
% 26.49/4.30 % (754594)Instruction limit reached!
% 26.49/4.30 % (754594)------------------------------
% 26.49/4.30 % (754594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.49/4.30 % (754594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.49/4.30 % (754594)CaDiCaL version: 2.1.3
% 26.49/4.30 % (754594)Termination reason: Instruction limit
% 26.49/4.30 % (754594)Termination phase: Saturation
% 26.49/4.30 % (754594)Time elapsed: 0.380 s
% 26.49/4.30 % (754594)Peak memory usage: 13 MB
% 26.49/4.30 % (754594)Instructions burned: 824 (million)
% 26.49/4.30 % (754614)Instruction limit reached!
% 27.02/4.46 % (754614)------------------------------
% 27.02/4.46 % (754614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.02/4.46 % (754614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.02/4.46 % (754614)CaDiCaL version: 2.1.3
% 27.02/4.46 % (754614)Termination reason: Instruction limit
% 27.02/4.46 % (754614)Termination phase: Saturation
% 27.02/4.46 % (754614)Time elapsed: 0.023 s
% 27.02/4.46 % (754614)Peak memory usage: 12 MB
% 27.02/4.46 % (754614)Instructions burned: 102 (million)
% 27.02/4.46 % (754617)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=3093153100:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2961 on theBenchmark for (2961ds/646Mi)
% 27.02/4.46 % (754616)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 27.02/4.46 % (754616)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=2680559896:i=1352:add=on:aac=none:rtra=on_2961 on theBenchmark for (2961ds/1352Mi)
% 27.02/4.46 % (754616)Refutation not found, incomplete strategy
% 27.02/4.46 % (754616)------------------------------
% 27.02/4.46 % (754616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.02/4.46 % (754616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.02/4.46 % (754616)CaDiCaL version: 2.1.3
% 27.02/4.46 % (754616)Termination reason: Refutation not found, incomplete strategy
% 27.02/4.46 % (754616)Time elapsed: 0.002 s
% 27.02/4.46 % (754616)Peak memory usage: 12 MB
% 27.02/4.46 % (754616)Instructions burned: 3 (million)
% 27.02/4.46 % (754616)------------------------------
% 27.02/4.46 % (754616)------------------------------
% 27.02/4.46 % (754620)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=1821917893:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2961 on theBenchmark for (2961ds/1924Mi)
% 27.02/4.46 % (754620)Refutation not found, incomplete strategy
% 27.02/4.46 % (754620)------------------------------
% 27.02/4.46 % (754620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.02/4.46 % (754620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.02/4.46 % (754620)CaDiCaL version: 2.1.3
% 27.02/4.46 % (754620)Termination reason: Refutation not found, incomplete strategy
% 27.02/4.46 % (754620)Time elapsed: 0.001 s
% 27.02/4.46 % (754620)Peak memory usage: 11 MB
% 27.02/4.46 % (754620)------------------------------
% 27.02/4.46 % (754620)------------------------------
% 27.02/4.46 % (754622)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1024360545:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2961 on theBenchmark for (2961ds/984Mi)
% 27.02/4.46 % (754622)Refutation not found, incomplete strategy
% 27.02/4.46 % (754622)------------------------------
% 27.02/4.46 % (754622)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.02/4.46 % (754622)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.02/4.46 % (754622)CaDiCaL version: 2.1.3
% 27.02/4.46 % (754622)Termination reason: Refutation not found, incomplete strategy
% 27.02/4.46 % (754622)Time elapsed: 0.001 s
% 27.02/4.46 % (754622)Peak memory usage: 11 MB
% 27.02/4.46 % (754622)Instructions burned: 1 (million)
% 27.02/4.46 % (754622)------------------------------
% 27.02/4.46 % (754622)------------------------------
% 27.02/4.46 % (754624)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=813077392:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2961 on theBenchmark for (2961ds/592Mi)
% 27.02/4.46 % (754617)Instruction limit reached!
% 27.02/4.46 % (754617)------------------------------
% 27.02/4.46 % (754617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.02/4.46 % (754617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.02/4.46 % (754617)CaDiCaL version: 2.1.3
% 27.02/4.46 % (754617)Termination reason: Instruction limit
% 27.02/4.46 % (754617)Termination phase: Saturation
% 27.02/4.46 % (754617)Time elapsed: 0.106 s
% 27.02/4.46 % (754617)Peak memory usage: 13 MB
% 27.02/4.46 % (754617)Instructions burned: 653 (million)
% 27.02/4.46 % (754626)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=635009141:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2960 on theBenchmark for (2960ds/872Mi)
% 27.02/4.46 % (754626)Refutation not found, incomplete strategy
% 28.85/4.70 % (754626)------------------------------
% 28.85/4.70 % (754626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.70 % (754626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.70 % (754626)CaDiCaL version: 2.1.3
% 28.85/4.70 % (754626)Termination reason: Refutation not found, incomplete strategy
% 28.85/4.70 % (754626)Time elapsed: 0.0000 s
% 28.85/4.70 % (754626)Peak memory usage: 11 MB
% 28.85/4.70 % (754626)------------------------------
% 28.85/4.70 % (754626)------------------------------
% 28.85/4.70 % (754606)Instruction limit reached!
% 28.85/4.70 % (754606)------------------------------
% 28.85/4.70 % (754606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.70 % (754606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.70 % (754606)CaDiCaL version: 2.1.3
% 28.85/4.70 % (754606)Termination reason: Instruction limit
% 28.85/4.70 % (754606)Termination phase: Saturation
% 28.85/4.70 % (754606)Time elapsed: 0.322 s
% 28.85/4.70 % (754606)Peak memory usage: 12 MB
% 28.85/4.70 % (754606)Instructions burned: 608 (million)
% 28.85/4.70 % (754628)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 28.85/4.70 % (754628)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=2918840698:i=999:add=on:rtra=on_2960 on theBenchmark for (2960ds/999Mi)
% 28.85/4.70 % (754629)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 28.85/4.70 % (754629)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=1118779722:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2960 on theBenchmark for (2960ds/244Mi)
% 28.85/4.70 % (754629)Refutation not found, incomplete strategy
% 28.85/4.70 % (754629)------------------------------
% 28.85/4.70 % (754629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.70 % (754629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.70 % (754629)CaDiCaL version: 2.1.3
% 28.85/4.70 % (754629)Termination reason: Refutation not found, incomplete strategy
% 28.85/4.70 % (754629)Time elapsed: 0.002 s
% 28.85/4.70 % (754629)Peak memory usage: 11 MB
% 28.85/4.70 % (754629)Instructions burned: 2 (million)
% 28.85/4.70 % (754629)------------------------------
% 28.85/4.70 % (754629)------------------------------
% 28.85/4.70 % (754632)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2241360813:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2960 on theBenchmark for (2960ds/113Mi)
% 28.85/4.70 % (754632)Refutation not found, incomplete strategy
% 28.85/4.70 % (754632)------------------------------
% 28.85/4.70 % (754632)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.70 % (754632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.70 % (754632)CaDiCaL version: 2.1.3
% 28.85/4.70 % (754632)Termination reason: Refutation not found, incomplete strategy
% 28.85/4.70 % (754632)Time elapsed: 0.001 s
% 28.85/4.70 % (754632)Peak memory usage: 11 MB
% 28.85/4.70 % (754632)Instructions burned: 1 (million)
% 28.85/4.70 % (754632)------------------------------
% 28.85/4.70 % (754632)------------------------------
% 28.85/4.70 % (754634)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2397197458:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/7795Mi)
% 28.85/4.70 % (754634)Refutation not found, incomplete strategy
% 28.85/4.70 % (754634)------------------------------
% 28.85/4.70 % (754634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.70 % (754634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.70 % (754634)CaDiCaL version: 2.1.3
% 28.85/4.70 % (754634)Termination reason: Refutation not found, incomplete strategy
% 28.85/4.70 % (754634)Time elapsed: 0.0000 s
% 28.85/4.70 % (754634)Peak memory usage: 11 MB
% 28.85/4.70 % (754634)------------------------------
% 28.85/4.70 % (754634)------------------------------
% 28.85/4.70 % (754636)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2291591284:st=2:i=5026:sd=1:rtra=on:ss=axioms_2959 on theBenchmark for (2959ds/5026Mi)
% 28.85/4.70 % (754636)Refutation not found, incomplete strategy
% 28.85/4.70 % (754636)------------------------------
% 28.85/4.73 % (754636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.73 % (754636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.73 % (754636)CaDiCaL version: 2.1.3
% 28.85/4.73 % (754636)Termination reason: Refutation not found, incomplete strategy
% 28.85/4.73 % (754636)Time elapsed: 0.001 s
% 28.85/4.73 % (754636)Peak memory usage: 11 MB
% 28.85/4.73 % (754636)------------------------------
% 28.85/4.73 % (754636)------------------------------
% 28.85/4.73 % (754638)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 28.85/4.73 % (754638)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=4143647721:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2959 on theBenchmark for (2959ds/763Mi)
% 28.85/4.73 % (754638)Refutation not found, incomplete strategy
% 28.85/4.73 % (754638)------------------------------
% 28.85/4.73 % (754638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.73 % (754638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.73 % (754638)CaDiCaL version: 2.1.3
% 28.85/4.73 % (754638)Termination reason: Refutation not found, incomplete strategy
% 28.85/4.73 % (754638)Time elapsed: 0.001 s
% 28.85/4.73 % (754638)Peak memory usage: 11 MB
% 28.85/4.73 % (754638)Instructions burned: 1 (million)
% 28.85/4.73 % (754638)------------------------------
% 28.85/4.73 % (754638)------------------------------
% 28.85/4.73 % (754640)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3990306373:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2959 on theBenchmark for (2959ds/1144Mi)
% 28.85/4.73 % (754640)Refutation not found, incomplete strategy
% 28.85/4.73 % (754640)------------------------------
% 28.85/4.73 % (754640)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.73 % (754640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.73 % (754640)CaDiCaL version: 2.1.3
% 28.85/4.73 % (754640)Termination reason: Refutation not found, incomplete strategy
% 28.85/4.73 % (754640)Time elapsed: 0.0000 s
% 28.85/4.73 % (754640)Peak memory usage: 11 MB
% 28.85/4.73 % (754640)------------------------------
% 28.85/4.73 % (754640)------------------------------
% 28.85/4.73 % (754642)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 28.85/4.73 % (754642)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=3656658833:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2959 on theBenchmark for (2959ds/52Mi)
% 28.85/4.73 % (754642)Instruction limit reached!
% 28.85/4.73 % (754642)------------------------------
% 28.85/4.73 % (754642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.73 % (754642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.73 % (754642)CaDiCaL version: 2.1.3
% 28.85/4.73 % (754642)Termination reason: Instruction limit
% 28.85/4.73 % (754642)Termination phase: Saturation
% 28.85/4.73 % (754642)Time elapsed: 0.022 s
% 28.85/4.73 % (754642)Peak memory usage: 12 MB
% 28.85/4.73 % (754642)Instructions burned: 54 (million)
% 28.85/4.73 % (754644)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=842423872:i=1724:fsr=off:rtra=on:fe=abstraction_2958 on theBenchmark for (2958ds/1724Mi)
% 28.85/4.73 % (754624)Instruction limit reached!
% 28.85/4.73 % (754624)------------------------------
% 28.85/4.73 % (754624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.73 % (754624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.73 % (754624)CaDiCaL version: 2.1.3
% 28.85/4.73 % (754624)Termination reason: Instruction limit
% 28.85/4.73 % (754624)Termination phase: Saturation
% 28.85/4.73 % (754624)Time elapsed: 0.263 s
% 28.85/4.73 % (754624)Peak memory usage: 12 MB
% 28.85/4.73 % (754624)Instructions burned: 594 (million)
% 28.85/4.73 % (754646)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=3932262419:i=439:add=on:slsql=off:rtra=on:ntd=on_2958 on theBenchmark for (2958ds/439Mi)
% 28.85/4.73 % (754628)Instruction limit reached!
% 28.85/4.73 % (754628)------------------------------
% 28.85/4.73 % (754628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.73 % (754628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.73 % (754628)CaDiCaL version: 2.1.3
% 28.85/4.73 % (754628)Termination reason: Instruction limit
% 28.85/4.73 % (754628)Termination phase: Saturation
% 28.85/4.73 % (754628)Time elapsed: 0.234 s
% 28.85/4.73 % (754628)Peak memory usage: 13 MB
% 28.85/4.73 % (754628)Instructions burned: 1003 (million)
% 28.85/4.73 % (754648)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1365767636:i=6395:sd=1:rtra=on:ss=axioms_2957 on theBenchmark for (2957ds/6395Mi)
% 28.85/4.73 % (754648)Refutation not found, incomplete strategy
% 28.85/4.73 % (754648)------------------------------
% 28.85/4.73 % (754648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.73 % (754648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.73 % (754648)CaDiCaL version: 2.1.3
% 28.85/4.73 % (754648)Termination reason: Refutation not found, incomplete strategy
% 28.85/4.73 % (754648)Time elapsed: 0.0000 s
% 28.85/4.73 % (754648)Peak memory usage: 11 MB
% 28.85/4.73 % (754648)------------------------------
% 28.85/4.73 % (754648)------------------------------
% 28.85/4.73 % (754650)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 28.85/4.73 % (754650)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=2329181617:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2957 on theBenchmark for (2957ds/6762Mi)
% 28.85/4.73 % (754650)Refutation not found, incomplete strategy
% 28.85/4.73 % (754650)------------------------------
% 28.85/4.73 % (754650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.73 % (754650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.73 % (754650)CaDiCaL version: 2.1.3
% 28.85/4.73 % (754650)Termination reason: Refutation not found, incomplete strategy
% 28.85/4.73 % (754650)Time elapsed: 0.0000 s
% 28.85/4.73 % (754650)Peak memory usage: 11 MB
% 28.85/4.73 % (754650)------------------------------
% 28.85/4.73 % (754650)------------------------------
% 28.85/4.73 % (754652)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 28.85/4.73 % (754652)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=1786163653:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2957 on theBenchmark for (2957ds/376Mi)
% 28.85/4.73 % (754607)Instruction limit reached!
% 28.85/4.73 % (754607)------------------------------
% 28.85/4.73 % (754607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.73 % (754607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.73 % (754607)CaDiCaL version: 2.1.3
% 28.85/4.73 % (754607)Termination reason: Instruction limit
% 28.85/4.73 % (754607)Termination phase: Saturation
% 28.85/4.73 % (754607)Time elapsed: 0.625 s
% 28.85/4.73 % (754607)Peak memory usage: 13 MB
% 28.85/4.73 % (754607)Instructions burned: 841 (million)
% 28.85/4.73 % (754654)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=2074946980:i=965:bd=all:ins=4:rtra=on_2957 on theBenchmark for (2957ds/965Mi)
% 28.85/4.73 % (754544) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-754219-754544"...
% 28.85/4.73 % (754646)Instruction limit reached!
% 28.85/4.73 % (754646)------------------------------
% 28.85/4.73 % (754646)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.73 % (754646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.73 % (754646)CaDiCaL version: 2.1.3
% 28.85/4.73 % (754646)Termination reason: Instruction limit
% 28.85/4.73 % (754646)Termination phase: Saturation
% 28.85/4.73 % (754646)Time elapsed: 0.230 s
% 28.85/4.73 % (754646)Peak memory usage: 12 MB
% 28.85/4.73 % (754646)Instructions burned: 440 (million)
% 28.85/4.73 % (754656)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1987524534:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2955 on theBenchmark for (2955ds/5013Mi)
% 28.85/4.73 % (754656)Refutation not found, incomplete strategy
% 28.85/4.73 % (754656)------------------------------
% 28.85/4.73 % (754656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.73 % (754656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.73 % (754656)CaDiCaL version: 2.1.3
% 28.85/4.73 % (754656)Termination reason: Refutation not found, incomplete strategy
% 28.85/4.73 % (754656)Time elapsed: 0.001 s
% 28.85/4.73 % (754656)Peak memory usage: 11 MB
% 28.85/4.73 % (754656)------------------------------
% 28.85/4.73 % (754656)------------------------------
% 28.85/4.73 % (754658)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3120994003:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2955 on theBenchmark for (2955ds/1583Mi)
% 28.85/4.73 % (754544)...printing done.
% 28.85/4.73 % (754544)Refutation found. Thanks to Tanya!
% 28.85/4.73 % SZS status Unsatisfiable for theBenchmark
% 28.85/4.73 % SZS output start Proof for theBenchmark
% See solution above
% 28.85/4.78 % (754544)------------------------------
% 28.85/4.78 % (754544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.85/4.78 % (754544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.85/4.78 % (754544)CaDiCaL version: 2.1.3
% 28.85/4.78 % (754544)Termination reason: Refutation
% 28.85/4.78 % (754544)Time elapsed: 1.851 s
% 28.85/4.78 % (754544)Peak memory usage: 19 MB
% 28.85/4.78 % (754544)Instructions burned: 3648 (million)
% 28.85/4.78 % (754219)Success in time 4.499 s
% 28.85/4.78 % Vampire exiting
%------------------------------------------------------------------------------