%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA167^1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:02:07 AM UTC 2026
% Result : Unsatisfiable 36.11s 6.02s
% Output : Refutation 38.74s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_1,type,
s: $i > $i ).
thf(func_def_2,type,
r: $i > $i > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(f1,axiom,
! [X0: $i] :
( ( s @ X0 )
!= z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',snz) ).
thf(f2,axiom,
! [X1: $i,X0: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sinj) ).
thf(f3,axiom,
! [X0: $i] :
~ ( r @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ri) ).
thf(f4,axiom,
! [X0: $i] :
~ ( b @ X0 @ X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bi) ).
thf(f5,axiom,
! [X1: $i,X0: $i] :
( ( b @ X0 @ X1 )
| ( X0 = X1 )
| ( r @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rb) ).
thf(f6,axiom,
! [X1: $i,X0: $i,X2: $i] :
( ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X2 )
| ~ ( r @ X0 @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axr) ).
thf(f7,axiom,
! [X2: $i,X1: $i,X4: $i,X0: $i,X3: $i] :
( ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X0 @ X4 )
| ~ ( b @ X0 @ X3 )
| ~ ( b @ X3 @ X4 ) ),
file('/export/starexec/sandbox/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] :
( ~ ( r @ X1 @ X0 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X1 @ X2 ) ),
inference(rectify,[],[f6]) ).
thf(f13,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(fool_elimination,[],[f12]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( b @ X1 @ X0 )
| ( X0 = X1 )
| ( r @ X1 @ X0 ) ),
inference(rectify,[],[f5]) ).
thf(f15,plain,
! [X1: $i,X0: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X1 @ X0 )
| ~ ( b @ X3 @ X1 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X0 @ X2 )
| ~ ( b @ X3 @ X2 )
| ~ ( b @ X3 @ X4 )
| ~ ( b @ X4 @ X2 ) ),
inference(rectify,[],[f7]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X1 @ X4 )
!= $true )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X4 @ X2 ) ) ),
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,
! [X1: $i,X2: $i,X0: $i] :
( ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(flattening,[],[f13]) ).
thf(f21,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ( s @ X0 )
!= ( s @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f22,plain,
! [X1: $i,X4: $i,X3: $i,X2: $i,X0: $i] :
( ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X0 @ X2 ) )
| ( ( b @ X1 @ X4 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X4 @ X2 ) )
| ( ( b @ X3 @ X4 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(rectify,[],[f20]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X4 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) ),
inference(rectify,[],[f22]) ).
thf(f25,plain,
! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(rectify,[],[f15]) ).
thf(f26,plain,
! [X0: $i,X1: $i] :
( ( ( s @ X0 )
!= ( s @ X1 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f27,plain,
! [X0: $i] :
( ( b @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f19]) ).
thf(f28,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ X2 @ X1 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f29,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X3 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X4 @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X3 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X4 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f30,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f25]) ).
thf(f31,plain,
! [X0: $i] :
( ( r @ X0 @ X0 )
!= $true ),
inference(cnf_transformation,[],[f18]) ).
thf(f32,plain,
! [X0: $i] :
( ( s @ X0 )
!= z ),
inference(cnf_transformation,[],[f1]) ).
thf(f35,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ),
inference(extensionality_resolution,[],[f30,f32]) ).
thf(f36,plain,
! [X0: $i] :
( ( $true
= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) ),
inference(extensionality_resolution,[],[f30,f32]) ).
thf(f37,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f30,f26]) ).
thf(f42,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f29,f35]) ).
thf(f43,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X3 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ ( s @ X0 ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f42]) ).
thf(f44,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f43,f35]) ).
thf(f47,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(duplicate_literal_removal,[],[f44]) ).
thf(f48,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ ( s @ X0 ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f47]) ).
thf(f50,definition,
( spl0_1
<=> ! [X2: $i,X0: $i] :
( ( ( b @ X2 @ z )
!= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ X0 ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
thf(f51,plain,
( ! [X2: $i,X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ X2 ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( b @ X2 @ z )
!= $true ) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
thf(f53,definition,
( spl0_2
<=> ! [X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
thf(f54,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
thf(f55,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f48,f53,f50]) ).
thf(f57,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f35]) ).
thf(f59,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f57]) ).
thf(f60,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ X0 )
= z )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f59,f30]) ).
thf(f61,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= z ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f60]) ).
thf(f62,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f61,f32]) ).
thf(f72,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( b @ z @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(constrained_superposition,[],[f29,f36]) ).
thf(f75,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( ( b @ z @ X3 )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ X0 ) ) )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f72]) ).
thf(f77,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f75,f36]) ).
thf(f78,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X2 ) ) ),
inference(duplicate_literal_removal,[],[f77]) ).
thf(f79,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ X0 ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ X2 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f78]) ).
thf(f81,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f28,f62]) ).
thf(f82,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f81]) ).
thf(f83,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f82,f28]) ).
thf(f88,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) ) )
| ( ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f37,f26]) ).
thf(f90,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(extensionality_resolution,[],[f37,f32]) ).
thf(f91,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(extensionality_resolution,[],[f37,f32]) ).
thf(f99,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f75,f90]) ).
thf(f100,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f90]) ).
thf(f101,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f99]) ).
thf(f102,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X3 ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ X3 @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f100]) ).
thf(f105,definition,
( spl0_3
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
thf(f106,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f105]) ).
thf(f108,definition,
( spl0_4
<=> ( $true
= ( r @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
thf(f109,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f108]) ).
thf(f110,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f101,f108,f105]) ).
thf(f125,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ),
inference(constrained_superposition,[],[f102,f90]) ).
thf(f131,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ),
inference(duplicate_literal_removal,[],[f125]) ).
thf(f132,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ),
inference(trivial_inequality_removal,[],[f131]) ).
thf(f135,definition,
( spl0_7
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
thf(f136,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f135]) ).
thf(f138,definition,
( spl0_8
<=> ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
thf(f139,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ X2 @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f138]) ).
thf(f140,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f132,f138,f135]) ).
thf(f157,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X2 @ z )
!= $true ) ),
inference(constrained_superposition,[],[f43,f91]) ).
thf(f160,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ ( s @ z ) @ X3 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f29,f91]) ).
thf(f163,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X2 @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f157]) ).
thf(f164,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X3 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f160]) ).
thf(f166,definition,
( spl0_11
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
thf(f167,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f166]) ).
thf(f169,definition,
( spl0_12
<=> ( $true
= ( b @ z @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
thf(f170,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_12 ),
inference(avatar_component_clause,[],[f169]) ).
thf(f172,definition,
( spl0_13
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
thf(f173,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f172]) ).
thf(f176,definition,
( spl0_14
<=> ( ( r @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
thf(f177,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f176]) ).
thf(f179,definition,
( spl0_15
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X2 @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
thf(f180,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ X1 ) )
| ( ( b @ X2 @ z )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f179]) ).
thf(f181,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f163,f179,f176]) ).
thf(f186,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_12 ),
inference(constrained_superposition,[],[f170,f36]) ).
thf(f189,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| spl0_12 ),
inference(trivial_inequality_removal,[],[f186]) ).
thf(f191,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f189,f169,f108]) ).
thf(f209,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f164,f91]) ).
thf(f214,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) ) ),
inference(duplicate_literal_removal,[],[f209]) ).
thf(f215,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f214]) ).
thf(f219,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f215,f36]) ).
thf(f220,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true ) ),
inference(trivial_inequality_removal,[],[f219]) ).
thf(f226,definition,
( spl0_16
<=> ( ( b @ ( s @ z ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
thf(f227,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_16 ),
inference(avatar_component_clause,[],[f226]) ).
thf(f229,definition,
( spl0_17
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
thf(f230,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f229]) ).
thf(f232,definition,
( spl0_18
<=> ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
thf(f233,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f232]) ).
thf(f234,plain,
( ~ spl0_16
| spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f220,f232,f229,f226]) ).
thf(f235,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_16 ),
inference(constrained_superposition,[],[f227,f35]) ).
thf(f238,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| spl0_16 ),
inference(trivial_inequality_removal,[],[f235]) ).
thf(f263,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(extensionality_resolution,[],[f88,f32]) ).
thf(f264,plain,
! [X0: $i] :
( ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f88,f32]) ).
thf(f265,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,[],[f88,f26]) ).
thf(f310,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(constrained_superposition,[],[f164,f263]) ).
thf(f312,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f75,f263]) ).
thf(f313,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 ) )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f29,f263]) ).
thf(f314,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
inference(trivial_inequality_removal,[],[f312]) ).
thf(f320,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f310]) ).
thf(f321,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X3 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f313]) ).
thf(f323,definition,
( spl0_19
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
thf(f324,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ z @ X2 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f323]) ).
thf(f326,definition,
( spl0_20
<=> ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
thf(f327,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f326]) ).
thf(f328,plain,
( spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f314,f326,f323]) ).
thf(f330,definition,
( spl0_21
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
thf(f331,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f330]) ).
thf(f351,definition,
( spl0_27
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
thf(f352,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_27 ),
inference(avatar_component_clause,[],[f351]) ).
thf(f354,definition,
( spl0_28
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
thf(f355,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_28 ),
inference(avatar_component_clause,[],[f354]) ).
thf(f357,definition,
( spl0_29
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
thf(f358,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f357]) ).
thf(f361,definition,
( spl0_30
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
thf(f362,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f361]) ).
thf(f368,definition,
( spl0_32
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
thf(f369,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X2 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f368]) ).
thf(f370,plain,
( spl0_21
| spl0_32 ),
inference(avatar_split_clause,[],[f320,f368,f330]) ).
thf(f376,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_21 ),
inference(constrained_superposition,[],[f83,f331]) ).
thf(f377,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f28,f331]) ).
thf(f379,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_2
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f376]) ).
thf(f380,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f377]) ).
thf(f383,plain,
( $false
| ~ spl0_2
| ~ spl0_14
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f379,f177]) ).
thf(f384,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f383]) ).
thf(f386,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| spl0_28 ),
inference(constrained_superposition,[],[f355,f90]) ).
thf(f388,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_28 ),
inference(constrained_superposition,[],[f355,f30]) ).
thf(f389,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_28 ),
inference(trivial_inequality_removal,[],[f388]) ).
thf(f390,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_28 ),
inference(trivial_inequality_removal,[],[f386]) ).
thf(f393,definition,
( spl0_33
<=> ( ( s @ z )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
thf(f394,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f393]) ).
thf(f395,plain,
( spl0_30
| spl0_33
| spl0_28 ),
inference(avatar_split_clause,[],[f389,f354,f393,f361]) ).
thf(f396,plain,
( spl0_30
| spl0_28 ),
inference(avatar_split_clause,[],[f390,f354,f361]) ).
thf(f398,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_27 ),
inference(constrained_superposition,[],[f352,f91]) ).
thf(f400,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_27 ),
inference(constrained_superposition,[],[f352,f30]) ).
thf(f401,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_27 ),
inference(trivial_inequality_removal,[],[f398]) ).
thf(f402,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_27 ),
inference(trivial_inequality_removal,[],[f400]) ).
thf(f427,definition,
( spl0_34
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
thf(f428,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f427]) ).
thf(f452,definition,
( spl0_35
<=> ( ( b @ z @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
thf(f453,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_35 ),
inference(avatar_component_clause,[],[f452]) ).
thf(f455,definition,
( spl0_36
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
thf(f456,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f455]) ).
thf(f458,definition,
( spl0_37
<=> ( $true
= ( b @ ( s @ ( s @ z ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
thf(f459,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| spl0_37 ),
inference(avatar_component_clause,[],[f458]) ).
thf(f461,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| spl0_35 ),
inference(constrained_superposition,[],[f453,f36]) ).
thf(f463,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_35 ),
inference(trivial_inequality_removal,[],[f461]) ).
thf(f465,plain,
( spl0_20
| spl0_35 ),
inference(avatar_split_clause,[],[f463,f452,f326]) ).
thf(f467,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_20
| ~ spl0_21 ),
inference(constrained_superposition,[],[f380,f327]) ).
thf(f468,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f28,f327]) ).
thf(f469,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f468]) ).
thf(f470,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f467]) ).
thf(f471,plain,
( $false
| ~ spl0_4
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f470,f109]) ).
thf(f472,plain,
( ~ spl0_4
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f471]) ).
thf(f478,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_20
| ~ spl0_21 ),
inference(constrained_superposition,[],[f469,f331]) ).
thf(f479,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f478]) ).
thf(f481,plain,
( $false
| ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f479,f177]) ).
thf(f482,plain,
( ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f481]) ).
thf(f483,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f238,f226,f176]) ).
thf(f486,definition,
( spl0_38
<=> ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
thf(f487,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f486]) ).
thf(f489,plain,
( spl0_21
| spl0_27 ),
inference(avatar_split_clause,[],[f401,f351,f330]) ).
thf(f490,plain,
( spl0_21
| spl0_33
| spl0_27 ),
inference(avatar_split_clause,[],[f402,f351,f393,f330]) ).
thf(f496,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f28,f177]) ).
thf(f497,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f496]) ).
thf(f498,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_14
| ~ spl0_30 ),
inference(constrained_superposition,[],[f497,f362]) ).
thf(f499,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_14
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f498]) ).
thf(f504,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(constrained_superposition,[],[f79,f90]) ).
thf(f507,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(constrained_superposition,[],[f79,f91]) ).
thf(f509,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) ) ),
inference(trivial_inequality_removal,[],[f504]) ).
thf(f516,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( b @ z @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f507]) ).
thf(f519,definition,
( spl0_39
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
thf(f520,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f519]) ).
thf(f521,plain,
( spl0_18
| ~ spl0_12
| spl0_39 ),
inference(avatar_split_clause,[],[f516,f519,f169,f232]) ).
thf(f565,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_37 ),
inference(constrained_superposition,[],[f459,f30]) ).
thf(f566,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_37 ),
inference(trivial_inequality_removal,[],[f565]) ).
thf(f568,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f566,f32]) ).
thf(f571,plain,
( $false
| ~ spl0_14
| ~ spl0_30
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f568,f499]) ).
thf(f572,plain,
( ~ spl0_14
| ~ spl0_30
| spl0_37 ),
inference(avatar_contradiction_clause,[],[f571]) ).
thf(f573,plain,
( spl0_34
| spl0_37 ),
inference(avatar_split_clause,[],[f568,f458,f427]) ).
thf(f576,definition,
( spl0_41
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
thf(f577,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f576]) ).
thf(f578,plain,
( spl0_4
| spl0_41 ),
inference(avatar_split_clause,[],[f509,f576,f108]) ).
thf(f580,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f28,f109]) ).
thf(f581,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f580]) ).
thf(f638,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ),
inference(constrained_superposition,[],[f321,f263]) ).
thf(f647,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
inference(duplicate_literal_removal,[],[f638]) ).
thf(f648,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) ),
inference(trivial_inequality_removal,[],[f647]) ).
thf(f659,definition,
( spl0_46
<=> ! [X2: $i] :
( ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
thf(f660,plain,
( ! [X2: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X2 ) )
| ( ( b @ X2 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f659]) ).
thf(f662,definition,
( spl0_47
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
thf(f663,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ X0 ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f662]) ).
thf(f664,plain,
( spl0_46
| spl0_47 ),
inference(avatar_split_clause,[],[f648,f662,f659]) ).
thf(f672,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f660,f90]) ).
thf(f673,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f660,f88]) ).
thf(f674,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f660,f35]) ).
thf(f675,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f660,f37]) ).
thf(f676,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f660,f30]) ).
thf(f677,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f676]) ).
thf(f678,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f673]) ).
thf(f679,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f674]) ).
thf(f680,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ X0 ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f675]) ).
thf(f681,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f672]) ).
thf(f682,plain,
( ~ spl0_27
| spl0_30
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f681,f659,f361,f351]) ).
thf(f702,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f28,f327]) ).
thf(f703,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f702]) ).
thf(f704,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f28,f362]) ).
thf(f705,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f704]) ).
thf(f707,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_4
| ~ spl0_30 ),
inference(constrained_superposition,[],[f581,f362]) ).
thf(f708,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_4
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f707]) ).
thf(f710,plain,
( $false
| ~ spl0_4
| ~ spl0_30
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f708,f428]) ).
thf(f711,plain,
( ~ spl0_4
| ~ spl0_30
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f710]) ).
thf(f712,plain,
( ~ spl0_35
| spl0_34
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f679,f659,f427,f452]) ).
thf(f719,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_20
| ~ spl0_30 ),
inference(constrained_superposition,[],[f705,f327]) ).
thf(f720,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_20
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f719]) ).
thf(f721,plain,
( $false
| ~ spl0_4
| ~ spl0_20
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f720,f109]) ).
thf(f722,plain,
( ~ spl0_4
| ~ spl0_20
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f721]) ).
thf(f724,definition,
( spl0_53
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
thf(f725,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f724]) ).
thf(f728,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_20
| ~ spl0_21 ),
inference(constrained_superposition,[],[f703,f331]) ).
thf(f729,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f28,f331]) ).
thf(f730,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f729]) ).
thf(f731,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f728]) ).
thf(f738,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_20
| ~ spl0_21 ),
inference(constrained_superposition,[],[f730,f327]) ).
thf(f741,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f738]) ).
thf(f742,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f487,f35]) ).
thf(f745,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f742]) ).
thf(f796,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f677,f30]) ).
thf(f797,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f677,f37]) ).
thf(f803,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f797]) ).
thf(f805,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| ~ spl0_46 ),
inference(duplicate_literal_removal,[],[f796]) ).
thf(f806,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f805]) ).
thf(f809,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f803,f26]) ).
thf(f971,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f520,f37]) ).
thf(f978,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ X0 ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f971]) ).
thf(f1009,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| spl0_30 ),
inference(avatar_component_clause,[],[f361]) ).
thf(f1011,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| spl0_30
| ~ spl0_53 ),
inference(constrained_superposition,[],[f1009,f725]) ).
thf(f1012,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_30
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f1011]) ).
thf(f1013,plain,
( spl0_34
| spl0_30
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f1012,f724,f361,f427]) ).
thf(f1014,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f28,f428]) ).
thf(f1015,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f1014]) ).
thf(f1057,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true != $true )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f680,f88]) ).
thf(f1062,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1057]) ).
thf(f1067,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1062,f26]) ).
thf(f1087,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f28,f809]) ).
thf(f1092,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1087]) ).
thf(f1093,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1092,f28]) ).
thf(f1095,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_21
| ~ spl0_46 ),
inference(constrained_superposition,[],[f1093,f331]) ).
thf(f1096,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ X0 @ ( s @ X1 ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f1093,f806]) ).
thf(f1097,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_21
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1095]) ).
thf(f1099,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ ( s @ X1 ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( ( s @ z )
= X1 )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1096]) ).
thf(f1250,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f978,f35]) ).
thf(f1253,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f1250]) ).
thf(f1255,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_39 ),
inference(constrained_superposition,[],[f1253,f36]) ).
thf(f1258,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_39 ),
inference(trivial_inequality_removal,[],[f1255]) ).
thf(f1292,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ X0 )
= z )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f678,f263]) ).
thf(f1295,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= z )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1292]) ).
thf(f1300,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1295,f32]) ).
thf(f1302,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f28,f1067]) ).
thf(f1304,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1302]) ).
thf(f1306,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( z = X0 )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1304,f28]) ).
thf(f1307,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_20
| ~ spl0_46 ),
inference(constrained_superposition,[],[f1306,f327]) ).
thf(f1309,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ X1 ) ) ) )
| ( z = X1 )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f1306,f806]) ).
thf(f1310,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| ~ spl0_20
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1307]) ).
thf(f1311,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ X1 ) ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ ( s @ z ) ) @ X0 )
= $true )
| ( z = X1 ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1309]) ).
thf(f1423,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f28,f173]) ).
thf(f1428,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f1423]) ).
thf(f1430,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1428,f28]) ).
thf(f1566,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f215,f264]) ).
thf(f1570,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X3 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X3 @ X2 ) ) ),
inference(constrained_superposition,[],[f29,f264]) ).
thf(f1571,plain,
! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f1566]) ).
thf(f1578,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X3 @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X1 ) )
| ( $true
!= ( b @ X3 @ X2 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ X3 )
!= $true )
| ( ( b @ X2 @ ( s @ ( s @ ( s @ X0 ) ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1570]) ).
thf(f1698,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_46 ),
inference(constrained_superposition,[],[f28,f1300]) ).
thf(f1703,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1698]) ).
thf(f1712,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1703,f28]) ).
thf(f1764,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f745,f36]) ).
thf(f1766,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f1764]) ).
thf(f1778,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_38
| ~ spl0_46 ),
inference(constrained_superposition,[],[f1311,f1766]) ).
thf(f1792,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_38
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1778]) ).
thf(f1805,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( z = X0 ) )
| spl0_30
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1792,f1009]) ).
thf(f1811,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_20
| spl0_30
| ~ spl0_38
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1805,f1310]) ).
thf(f1814,definition,
( spl0_70
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
thf(f1815,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f1814]) ).
thf(f1819,definition,
( spl0_71
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
thf(f1820,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z = X0 ) )
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f1819]) ).
thf(f1821,plain,
( spl0_33
| spl0_71
| ~ spl0_20
| spl0_30
| ~ spl0_38
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1811,f659,f486,f361,f326,f1819,f393]) ).
thf(f1822,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f30]) ).
thf(f1825,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f1822]) ).
thf(f1832,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f1825,f30]) ).
thf(f1834,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f1832]) ).
thf(f1835,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f1834]) ).
thf(f1837,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( z
= ( s @ ( s @ X0 ) ) ) )
| ~ spl0_2
| ~ spl0_20
| ~ spl0_46 ),
inference(constrained_superposition,[],[f1310,f1835]) ).
thf(f1838,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(constrained_superposition,[],[f741,f1835]) ).
thf(f1865,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1838]) ).
thf(f1877,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_20
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f1837]) ).
thf(f1881,plain,
( ( z
= ( s @ z ) )
| ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1865,f731]) ).
thf(f1885,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_2
| ~ spl0_20
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1877,f32]) ).
thf(f1888,plain,
( $false
| ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1881,f32]) ).
thf(f1889,plain,
( ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1888]) ).
thf(f1891,plain,
( spl0_71
| ~ spl0_2
| ~ spl0_20
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1885,f659,f326,f53,f1819]) ).
thf(f2027,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_34 ),
inference(constrained_superposition,[],[f1015,f331]) ).
thf(f2031,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_21
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f2027]) ).
thf(f3020,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_18
| ~ spl0_46 ),
inference(constrained_superposition,[],[f1712,f233]) ).
thf(f3021,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_18
| ~ spl0_46 ),
inference(constrained_superposition,[],[f1099,f233]) ).
thf(f3029,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_18
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f3020]) ).
thf(f3032,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f3021]) ).
thf(f3039,plain,
( ! [X0: $i] :
( ( r @ z @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ~ spl0_18
| ~ spl0_21
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f3029,f331]) ).
thf(f3040,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_18
| spl0_30
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f3032,f1009]) ).
thf(f3044,definition,
( spl0_83
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
thf(f3045,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f3044]) ).
thf(f3046,plain,
( spl0_83
| spl0_33
| ~ spl0_18
| spl0_30
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f3040,f659,f361,f232,f393,f3044]) ).
thf(f3056,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_13
| ~ spl0_18
| ~ spl0_21
| ~ spl0_46 ),
inference(constrained_superposition,[],[f1430,f3039]) ).
thf(f3064,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_13
| ~ spl0_18
| ~ spl0_21
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f3056]) ).
thf(f3069,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| spl0_4 ),
inference(avatar_component_clause,[],[f108]) ).
thf(f3071,definition,
( spl0_86
<=> ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
thf(f3072,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f3071]) ).
thf(f3074,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_18
| ~ spl0_21
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f3064,f659,f330,f232,f172,f108]) ).
thf(f3170,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_20 ),
inference(avatar_component_clause,[],[f326]) ).
thf(f4312,plain,
( ( ( s @ z )
!= ( s @ ( s @ z ) ) )
| spl0_33 ),
inference(avatar_component_clause,[],[f393]) ).
thf(f4372,definition,
( spl0_97
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
thf(f4373,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_97 ),
inference(avatar_component_clause,[],[f4372]) ).
thf(f6058,plain,
( $false
| ~ spl0_14
| ~ spl0_21
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f177,f2031]) ).
thf(f6059,plain,
( ~ spl0_14
| ~ spl0_21
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f6058]) ).
thf(f6091,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f139,f90]) ).
thf(f6095,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f6091]) ).
thf(f6135,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f6095,f91]) ).
thf(f6139,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f6135]) ).
thf(f6142,plain,
( spl0_13
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f6139,f138,f172]) ).
thf(f6319,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f230,f30]) ).
thf(f6322,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f6319]) ).
thf(f6325,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( $true
!= ( b @ z @ ( s @ X1 ) ) )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ X1 ) @ z ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f37]) ).
thf(f6331,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( s @ X0 )
= X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f30]) ).
thf(f6334,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( ( r @ ( s @ X0 ) @ X1 )
= $true )
| ( ( s @ X0 )
= X1 )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f6331]) ).
thf(f6340,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ X1 ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ X1 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f6325]) ).
thf(f6343,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f487,f35]) ).
thf(f6345,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f6343]) ).
thf(f6434,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_34 ),
inference(avatar_component_clause,[],[f427]) ).
thf(f6451,definition,
( spl0_114
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
thf(f6452,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f6451]) ).
thf(f6462,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_53 ),
inference(constrained_superposition,[],[f28,f725]) ).
thf(f6464,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f6462]) ).
thf(f6528,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(constrained_superposition,[],[f28,f173]) ).
thf(f6532,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f6528]) ).
thf(f6534,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f6532,f28]) ).
thf(f6544,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_13
| ~ spl0_46 ),
inference(constrained_superposition,[],[f6534,f809]) ).
thf(f6551,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) ) )
| ~ spl0_13
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f6544]) ).
thf(f6558,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_13
| ~ spl0_30
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f6551,f362]) ).
thf(f6564,plain,
( spl0_114
| ~ spl0_13
| ~ spl0_30
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f6558,f659,f361,f172,f6451]) ).
thf(f6896,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f167,f30]) ).
thf(f6897,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f6896]) ).
thf(f7293,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f6897,f30]) ).
thf(f7299,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f7293]) ).
thf(f7300,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f7299]) ).
thf(f7303,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f6322,f30]) ).
thf(f7308,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f7303]) ).
thf(f7309,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f7308]) ).
thf(f7314,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f7300,f30]) ).
thf(f7315,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f7314]) ).
thf(f7317,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f7309,f30]) ).
thf(f7319,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( z = X0 ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f7317]) ).
thf(f7431,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_46 ),
inference(constrained_superposition,[],[f1099,f109]) ).
thf(f7433,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f28,f109]) ).
thf(f7434,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_4
| ~ spl0_46 ),
inference(trivial_inequality_removal,[],[f7431]) ).
thf(f7437,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f7433]) ).
thf(f7438,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_4
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f7434,f32]) ).
thf(f7441,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_4
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f7438,f32]) ).
thf(f7444,plain,
( spl0_34
| ~ spl0_4
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f7441,f659,f108,f427]) ).
thf(f7454,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f28,f428]) ).
thf(f7455,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f7454]) ).
thf(f7535,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true != $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_17 ),
inference(constrained_superposition,[],[f28,f7319]) ).
thf(f7540,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f7535]) ).
thf(f7546,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f7540,f28]) ).
thf(f7555,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
!= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_4
| ~ spl0_17 ),
inference(constrained_superposition,[],[f7546,f109]) ).
thf(f7562,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( s @ z )
= X0 ) )
| ~ spl0_4
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f7555]) ).
thf(f7746,plain,
( ( $true
= ( b @ ( s @ z ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_33 ),
inference(constrained_superposition,[],[f91,f394]) ).
thf(f7855,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ z ) ) )
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f7746,f27]) ).
thf(f7864,definition,
( spl0_123
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
thf(f7865,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f7864]) ).
thf(f7869,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f4372]) ).
thf(f7878,definition,
( spl0_125
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
thf(f7879,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_125 ),
inference(avatar_component_clause,[],[f7878]) ).
thf(f7883,definition,
( spl0_126
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
thf(f7884,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f7883]) ).
thf(f7887,definition,
( spl0_127
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
thf(f7888,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_127 ),
inference(avatar_component_clause,[],[f7887]) ).
thf(f7895,definition,
( spl0_128
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
thf(f7896,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f7895]) ).
thf(f7898,definition,
( spl0_129
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
thf(f7899,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_129 ),
inference(avatar_component_clause,[],[f7898]) ).
thf(f7901,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_126 ),
inference(avatar_component_clause,[],[f7883]) ).
thf(f7917,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f7855,f31]) ).
thf(f7918,plain,
~ spl0_33,
inference(avatar_contradiction_clause,[],[f7917]) ).
thf(f7924,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_33 ),
inference(extensionality_resolution,[],[f88,f4312]) ).
thf(f7925,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_33 ),
inference(extensionality_resolution,[],[f88,f4312]) ).
thf(f7931,definition,
( spl0_131
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).
thf(f7932,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_131 ),
inference(avatar_component_clause,[],[f7931]) ).
thf(f7934,definition,
( spl0_132
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
thf(f7935,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f7934]) ).
thf(f7936,plain,
( spl0_131
| spl0_132
| spl0_33 ),
inference(avatar_split_clause,[],[f7924,f393,f7934,f7931]) ).
thf(f7938,definition,
( spl0_133
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).
thf(f7939,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_133 ),
inference(avatar_component_clause,[],[f7938]) ).
thf(f7941,definition,
( spl0_134
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
thf(f7942,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f7941]) ).
thf(f7943,plain,
( spl0_133
| spl0_134
| spl0_33 ),
inference(avatar_split_clause,[],[f7925,f393,f7941,f7938]) ).
thf(f7944,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_46
| ~ spl0_132 ),
inference(constrained_superposition,[],[f1712,f7935]) ).
thf(f7952,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_46
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f7944]) ).
thf(f7957,definition,
( spl0_135
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
thf(f7958,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f7957]) ).
thf(f7965,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_17
| spl0_126 ),
inference(constrained_superposition,[],[f7901,f7319]) ).
thf(f7966,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_11
| spl0_126 ),
inference(constrained_superposition,[],[f7901,f7315]) ).
thf(f7973,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_17
| spl0_126 ),
inference(trivial_inequality_removal,[],[f7965]) ).
thf(f7975,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| spl0_126 ),
inference(trivial_inequality_removal,[],[f7966]) ).
thf(f7978,definition,
( spl0_136
<=> ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
thf(f7979,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f7978]) ).
thf(f7981,definition,
( spl0_137
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
thf(f7982,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f7981]) ).
thf(f7984,definition,
( spl0_138
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).
thf(f7985,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_138 ),
inference(avatar_component_clause,[],[f7984]) ).
thf(f7990,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_17
| spl0_126 ),
inference(forward_subsumption_resolution,[],[f7973,f32]) ).
thf(f7992,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| spl0_126 ),
inference(forward_subsumption_resolution,[],[f7975,f32]) ).
thf(f7996,definition,
( spl0_139
<=> ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
thf(f7997,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f7996]) ).
thf(f7999,plain,
( spl0_138
| spl0_97
| spl0_137
| ~ spl0_17
| spl0_126 ),
inference(avatar_split_clause,[],[f7990,f7883,f229,f7981,f4372,f7984]) ).
thf(f8001,plain,
( spl0_138
| spl0_136
| spl0_97
| ~ spl0_11
| spl0_126 ),
inference(avatar_split_clause,[],[f7992,f7883,f166,f4372,f7978,f7984]) ).
thf(f8005,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_4
| ~ spl0_17
| ~ spl0_136 ),
inference(constrained_superposition,[],[f7562,f7979]) ).
thf(f8011,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f28,f7979]) ).
thf(f8012,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_4
| ~ spl0_17
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f8005]) ).
thf(f8014,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f8011]) ).
thf(f8020,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_17
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f8012,f32]) ).
thf(f8023,plain,
( spl0_138
| spl0_137
| ~ spl0_4
| ~ spl0_17
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f8020,f7978,f229,f108,f7981,f7984]) ).
thf(f8047,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_46
| ~ spl0_136 ),
inference(constrained_superposition,[],[f8014,f809]) ).
thf(f8059,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_46
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f8047]) ).
thf(f8068,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_33
| ~ spl0_46
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f8059,f4312]) ).
thf(f8075,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_33
| ~ spl0_46
| ~ spl0_132
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f8068,f7952]) ).
thf(f8081,plain,
( $false
| spl0_33
| ~ spl0_34
| ~ spl0_46
| ~ spl0_132
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f8075,f428]) ).
thf(f8082,plain,
( spl0_33
| ~ spl0_34
| ~ spl0_46
| ~ spl0_132
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f8081]) ).
thf(f8117,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_138 ),
inference(constrained_superposition,[],[f264,f7985]) ).
thf(f8253,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f8117,f31]) ).
thf(f8285,plain,
( $false
| ~ spl0_138 ),
inference(forward_subsumption_resolution,[],[f8253,f27]) ).
thf(f8286,plain,
~ spl0_138,
inference(avatar_contradiction_clause,[],[f8285]) ).
thf(f8309,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_46
| ~ spl0_97 ),
inference(constrained_superposition,[],[f1311,f7869]) ).
thf(f8317,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_46
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f8309]) ).
thf(f8327,plain,
( ( z
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_46
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f8317,f26]) ).
thf(f8334,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_46
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f8327,f32]) ).
thf(f8339,plain,
( $false
| spl0_30
| ~ spl0_46
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f8334,f1009]) ).
thf(f8340,plain,
( spl0_30
| ~ spl0_46
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f8339]) ).
thf(f8345,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_4
| ~ spl0_126 ),
inference(constrained_superposition,[],[f7437,f7884]) ).
thf(f8354,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f8345]) ).
thf(f8366,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_139 ),
inference(constrained_superposition,[],[f263,f7997]) ).
thf(f8504,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f8366,f31]) ).
thf(f8528,plain,
( $false
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f8504,f27]) ).
thf(f8529,plain,
~ spl0_139,
inference(avatar_contradiction_clause,[],[f8528]) ).
thf(f8546,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f28,f7958]) ).
thf(f8548,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f8546]) ).
thf(f8553,definition,
( spl0_140
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
thf(f8554,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f8553]) ).
thf(f8556,definition,
( spl0_141
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
thf(f8557,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f8556]) ).
thf(f8559,definition,
( spl0_142
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
thf(f8560,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f8559]) ).
thf(f8563,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_21
| ~ spl0_46
| ~ spl0_141 ),
inference(constrained_superposition,[],[f1097,f8557]) ).
thf(f8567,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_46
| ~ spl0_141 ),
inference(constrained_superposition,[],[f1311,f8557]) ).
thf(f8574,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_46
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f8567]) ).
thf(f8578,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_21
| ~ spl0_46
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f8563]) ).
thf(f8583,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_33
| ~ spl0_46
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f8574,f4312]) ).
thf(f8586,plain,
( spl0_138
| ~ spl0_21
| ~ spl0_46
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f8578,f8556,f659,f330,f7984]) ).
thf(f8589,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_30
| spl0_33
| ~ spl0_46
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f8583,f1009]) ).
thf(f8592,plain,
( $false
| spl0_30
| spl0_33
| ~ spl0_46
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f8589,f32]) ).
thf(f8593,plain,
( spl0_30
| spl0_33
| ~ spl0_46
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f8592]) ).
thf(f8611,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_46
| ~ spl0_133 ),
inference(constrained_superposition,[],[f1712,f7939]) ).
thf(f8621,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_46
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f8611]) ).
thf(f8668,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_46
| ~ spl0_135 ),
inference(constrained_superposition,[],[f8548,f1067]) ).
thf(f8685,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_46
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f8668]) ).
thf(f8694,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_46
| ~ spl0_133
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f8685,f8621]) ).
thf(f8698,definition,
( spl0_143
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
thf(f8699,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f8698]) ).
thf(f8703,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_34
| ~ spl0_46
| ~ spl0_133
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f8694,f428]) ).
thf(f8708,plain,
( $false
| ~ spl0_34
| ~ spl0_46
| ~ spl0_133
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f8703,f32]) ).
thf(f8709,plain,
( ~ spl0_34
| ~ spl0_46
| ~ spl0_133
| ~ spl0_135 ),
inference(avatar_contradiction_clause,[],[f8708]) ).
thf(f8726,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true ) )
| ~ spl0_15
| ~ spl0_131 ),
inference(constrained_superposition,[],[f180,f7932]) ).
thf(f8738,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f8726]) ).
thf(f8753,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_15
| spl0_97
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f8738,f4373]) ).
thf(f8756,definition,
( spl0_144
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
thf(f8757,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f8756]) ).
thf(f8759,definition,
( spl0_145
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
thf(f8760,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f8759]) ).
thf(f8763,definition,
( spl0_146
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
thf(f8764,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f8763]) ).
thf(f8767,definition,
( spl0_147
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
thf(f8768,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f8767]) ).
thf(f8770,definition,
( spl0_148
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
thf(f8771,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f8770]) ).
thf(f8773,definition,
( spl0_149
<=> ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
thf(f8774,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f8773]) ).
thf(f8778,definition,
( spl0_150
<=> ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
thf(f8779,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f8778]) ).
thf(f8782,definition,
( spl0_151
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
thf(f8783,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_151 ),
inference(avatar_component_clause,[],[f8782]) ).
thf(f8785,definition,
( spl0_152
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
thf(f8786,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f8785]) ).
thf(f8788,definition,
( spl0_153
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
thf(f8789,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_153 ),
inference(avatar_component_clause,[],[f8788]) ).
thf(f8792,definition,
( spl0_154
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
thf(f8793,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f8792]) ).
thf(f8797,definition,
( spl0_155
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
thf(f8798,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_155 ),
inference(avatar_component_clause,[],[f8797]) ).
thf(f8800,definition,
( spl0_156
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
thf(f8801,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f8800]) ).
thf(f8803,definition,
( spl0_157
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
thf(f8804,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| spl0_157 ),
inference(avatar_component_clause,[],[f8803]) ).
thf(f8805,plain,
( ~ spl0_155
| spl0_156
| ~ spl0_157
| ~ spl0_15
| spl0_97
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f8753,f7931,f4372,f179,f8803,f8800,f8797]) ).
thf(f8808,definition,
( spl0_158
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
thf(f8809,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f8808]) ).
thf(f8811,definition,
( spl0_159
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
thf(f8812,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f8811]) ).
thf(f8814,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_125 ),
inference(constrained_superposition,[],[f7879,f36]) ).
thf(f8816,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_125 ),
inference(trivial_inequality_removal,[],[f8814]) ).
thf(f8818,plain,
( spl0_136
| spl0_125 ),
inference(avatar_split_clause,[],[f8816,f7878,f7978]) ).
thf(f8821,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_153 ),
inference(constrained_superposition,[],[f8789,f30]) ).
thf(f8823,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_153 ),
inference(trivial_inequality_removal,[],[f8821]) ).
thf(f8826,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_4
| ~ spl0_126
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f8823,f8354]) ).
thf(f8827,plain,
( $false
| ~ spl0_4
| ~ spl0_126
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f8826,f32]) ).
thf(f8828,plain,
( ~ spl0_4
| ~ spl0_126
| spl0_153 ),
inference(avatar_contradiction_clause,[],[f8827]) ).
thf(f8830,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_129 ),
inference(constrained_superposition,[],[f7899,f37]) ).
thf(f8834,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_129 ),
inference(trivial_inequality_removal,[],[f8830]) ).
thf(f8838,plain,
( ( z
= ( s @ ( s @ z ) ) )
| spl0_97
| spl0_129 ),
inference(forward_subsumption_resolution,[],[f8834,f4373]) ).
thf(f8840,plain,
( $false
| spl0_97
| spl0_129 ),
inference(forward_subsumption_resolution,[],[f8838,f32]) ).
thf(f8841,plain,
( spl0_97
| spl0_129 ),
inference(avatar_contradiction_clause,[],[f8840]) ).
thf(f8842,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| spl0_151 ),
inference(constrained_superposition,[],[f8783,f36]) ).
thf(f8844,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_151 ),
inference(trivial_inequality_removal,[],[f8842]) ).
thf(f8846,plain,
( spl0_142
| spl0_151 ),
inference(avatar_split_clause,[],[f8844,f8782,f8559]) ).
thf(f8848,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_157 ),
inference(constrained_superposition,[],[f8804,f35]) ).
thf(f8851,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| spl0_157 ),
inference(trivial_inequality_removal,[],[f8848]) ).
thf(f8853,plain,
( spl0_135
| spl0_157 ),
inference(avatar_split_clause,[],[f8851,f8803,f7957]) ).
thf(f8872,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f28,f7982]) ).
thf(f8875,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f8872]) ).
thf(f8911,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_21
| ~ spl0_145 ),
inference(constrained_superposition,[],[f730,f8760]) ).
thf(f8915,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_145 ),
inference(constrained_superposition,[],[f7455,f8760]) ).
thf(f8919,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_21
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f8911]) ).
thf(f8924,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f8915]) ).
thf(f8925,plain,
( $false
| ~ spl0_21
| ~ spl0_145
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f8919,f8786]) ).
thf(f8926,plain,
( ~ spl0_21
| ~ spl0_145
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[],[f8925]) ).
thf(f8927,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_21
| ~ spl0_53
| ~ spl0_145 ),
inference(constrained_superposition,[],[f8919,f725]) ).
thf(f8935,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_21
| ~ spl0_53
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f8927]) ).
thf(f8942,plain,
( $false
| ~ spl0_21
| ~ spl0_34
| ~ spl0_53
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f8935,f8924]) ).
thf(f8943,plain,
( ~ spl0_21
| ~ spl0_34
| ~ spl0_53
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f8942]) ).
thf(f8962,plain,
( ( $true != $true )
| ( z
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_46
| ~ spl0_137 ),
inference(constrained_superposition,[],[f8875,f1067]) ).
thf(f8966,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_46
| ~ spl0_137 ),
inference(constrained_superposition,[],[f8875,f809]) ).
thf(f8970,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_46
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f8962]) ).
thf(f8973,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_46
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f8966]) ).
thf(f8978,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( z
= ( s @ z ) )
| ~ spl0_34
| ~ spl0_46
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f8970,f428]) ).
thf(f8982,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_34
| ~ spl0_46
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f8973,f428]) ).
thf(f8987,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_34
| ~ spl0_46
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f8978,f32]) ).
thf(f8989,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_33
| ~ spl0_34
| ~ spl0_46
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f8982,f4312]) ).
thf(f8995,plain,
( spl0_149
| ~ spl0_34
| ~ spl0_46
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f8987,f7981,f659,f427,f8773]) ).
thf(f8996,plain,
( spl0_149
| spl0_33
| ~ spl0_34
| ~ spl0_46
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f8989,f7981,f659,f427,f393,f8773]) ).
thf(f9000,definition,
( spl0_160
<=> ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
thf(f9001,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true ) )
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f9000]) ).
thf(f9003,definition,
( spl0_161
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
thf(f9004,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f9003]) ).
thf(f9005,plain,
( ~ spl0_27
| spl0_160
| spl0_161 ),
inference(avatar_split_clause,[],[f1571,f9003,f9000,f351]) ).
thf(f9057,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_30 ),
inference(constrained_superposition,[],[f28,f362]) ).
thf(f9060,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f9057]) ).
thf(f9073,definition,
( spl0_168
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_168])],[avatar_definition]) ).
thf(f9074,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f9073]) ).
thf(f9082,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f28,f8560]) ).
thf(f9083,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f9082]) ).
thf(f9091,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_155 ),
inference(constrained_superposition,[],[f8798,f91]) ).
thf(f9094,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_155 ),
inference(trivial_inequality_removal,[],[f9091]) ).
thf(f9097,plain,
( spl0_141
| spl0_155 ),
inference(avatar_split_clause,[],[f9094,f8797,f8556]) ).
thf(f9136,definition,
( spl0_169
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_169])],[avatar_definition]) ).
thf(f9137,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_169 ),
inference(avatar_component_clause,[],[f9136]) ).
thf(f9142,definition,
( spl0_171
<=> ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_171])],[avatar_definition]) ).
thf(f9143,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_171 ),
inference(avatar_component_clause,[],[f9142]) ).
thf(f9145,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| spl0_169 ),
inference(constrained_superposition,[],[f9137,f264]) ).
thf(f9147,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_169 ),
inference(constrained_superposition,[],[f9137,f37]) ).
thf(f9149,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_169 ),
inference(trivial_inequality_removal,[],[f9147]) ).
thf(f9152,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_169 ),
inference(trivial_inequality_removal,[],[f9145]) ).
thf(f9153,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_33
| spl0_169 ),
inference(forward_subsumption_resolution,[],[f9149,f4312]) ).
thf(f9156,plain,
( spl0_168
| spl0_169 ),
inference(avatar_split_clause,[],[f9152,f9136,f9073]) ).
thf(f9157,plain,
( spl0_168
| spl0_33
| spl0_169 ),
inference(avatar_split_clause,[],[f9153,f9136,f393,f9073]) ).
thf(f9159,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_134 ),
inference(constrained_superposition,[],[f136,f7942]) ).
thf(f9162,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_134 ),
inference(constrained_superposition,[],[f51,f7942]) ).
thf(f9173,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f9162]) ).
thf(f9182,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f9159]) ).
thf(f9187,definition,
( spl0_172
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_172])],[avatar_definition]) ).
thf(f9188,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f9187]) ).
thf(f9190,definition,
( spl0_173
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_173])],[avatar_definition]) ).
thf(f9191,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_173 ),
inference(avatar_component_clause,[],[f9190]) ).
thf(f9193,plain,
( ~ spl0_153
| spl0_135
| ~ spl0_125
| ~ spl0_1
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f9173,f7941,f50,f7878,f7957,f8788]) ).
thf(f9196,definition,
( spl0_174
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_174])],[avatar_definition]) ).
thf(f9197,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f9196]) ).
thf(f9200,definition,
( spl0_175
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_175])],[avatar_definition]) ).
thf(f9201,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_175 ),
inference(avatar_component_clause,[],[f9200]) ).
thf(f9203,plain,
( ~ spl0_129
| spl0_152
| ~ spl0_127
| ~ spl0_7
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f9182,f7941,f135,f7887,f8785,f7898]) ).
thf(f9205,definition,
( spl0_176
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_176])],[avatar_definition]) ).
thf(f9206,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_176 ),
inference(avatar_component_clause,[],[f9205]) ).
thf(f9209,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_153 ),
inference(constrained_superposition,[],[f8789,f35]) ).
thf(f9211,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_153 ),
inference(trivial_inequality_removal,[],[f9209]) ).
thf(f9213,plain,
( spl0_137
| spl0_153 ),
inference(avatar_split_clause,[],[f9211,f8788,f7981]) ).
thf(f9215,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_127 ),
inference(constrained_superposition,[],[f7888,f90]) ).
thf(f9220,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_127 ),
inference(trivial_inequality_removal,[],[f9215]) ).
thf(f9221,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| spl0_173 ),
inference(constrained_superposition,[],[f9191,f264]) ).
thf(f9224,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_173 ),
inference(constrained_superposition,[],[f9191,f30]) ).
thf(f9225,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_173 ),
inference(trivial_inequality_removal,[],[f9224]) ).
thf(f9228,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_173 ),
inference(trivial_inequality_removal,[],[f9221]) ).
thf(f9229,plain,
( spl0_171
| spl0_143
| spl0_173 ),
inference(avatar_split_clause,[],[f9225,f9190,f8698,f9142]) ).
thf(f9232,plain,
( spl0_171
| spl0_173 ),
inference(avatar_split_clause,[],[f9228,f9190,f9142]) ).
thf(f9233,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_53
| ~ spl0_171 ),
inference(constrained_superposition,[],[f6464,f9143]) ).
thf(f9236,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_53
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f9233]) ).
thf(f9237,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_30
| ~ spl0_53
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[],[f9236,f362]) ).
thf(f9238,plain,
( spl0_135
| ~ spl0_30
| ~ spl0_53
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f9237,f9142,f724,f361,f7957]) ).
thf(f9243,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_152 ),
inference(avatar_component_clause,[],[f8785]) ).
thf(f9245,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_53
| spl0_152 ),
inference(constrained_superposition,[],[f9243,f725]) ).
thf(f9251,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_53
| spl0_152 ),
inference(trivial_inequality_removal,[],[f9245]) ).
thf(f9257,plain,
( spl0_135
| ~ spl0_53
| spl0_152 ),
inference(avatar_split_clause,[],[f9251,f8785,f724,f7957]) ).
thf(f9266,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f28,f7979]) ).
thf(f9267,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f9266]) ).
thf(f9271,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f28,f8786]) ).
thf(f9272,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f9271]) ).
thf(f9319,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f9201,f35]) ).
thf(f9328,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f9319]) ).
thf(f9329,plain,
( spl0_137
| ~ spl0_35
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f9328,f9200,f452,f7981]) ).
thf(f9331,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_30
| ~ spl0_145 ),
inference(constrained_superposition,[],[f9060,f8760]) ).
thf(f9337,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_30
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f9331]) ).
thf(f9338,plain,
( $false
| ~ spl0_30
| ~ spl0_145
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f9337,f8786]) ).
thf(f9339,plain,
( ~ spl0_30
| ~ spl0_145
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[],[f9338]) ).
thf(f9347,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true != $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f167,f30]) ).
thf(f9351,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f9347]) ).
thf(f9356,plain,
( ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_147 ),
inference(constrained_superposition,[],[f8768,f35]) ).
thf(f9362,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f9356]) ).
thf(f9366,plain,
( spl0_135
| ~ spl0_35
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f9362,f8767,f452,f7957]) ).
thf(f9382,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134
| ~ spl0_146 ),
inference(constrained_superposition,[],[f8764,f7942]) ).
thf(f9388,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_134
| ~ spl0_146 ),
inference(trivial_inequality_removal,[],[f9382]) ).
thf(f9398,definition,
( spl0_177
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_177])],[avatar_definition]) ).
thf(f9399,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_177 ),
inference(avatar_component_clause,[],[f9398]) ).
thf(f9404,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f28,f7869]) ).
thf(f9407,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f9404]) ).
thf(f9413,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_128 ),
inference(constrained_superposition,[],[f7896,f264]) ).
thf(f9416,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_128 ),
inference(trivial_inequality_removal,[],[f9413]) ).
thf(f9424,plain,
( spl0_168
| ~ spl0_27
| ~ spl0_28
| ~ spl0_128 ),
inference(avatar_split_clause,[],[f9416,f7895,f354,f351,f9073]) ).
thf(f9427,plain,
( ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_144 ),
inference(constrained_superposition,[],[f8757,f90]) ).
thf(f9437,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f9427]) ).
thf(f9461,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f9206,f263]) ).
thf(f9464,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_176 ),
inference(constrained_superposition,[],[f9206,f35]) ).
thf(f9468,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f9461]) ).
thf(f9472,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_176 ),
inference(trivial_inequality_removal,[],[f9464]) ).
thf(f9475,definition,
( spl0_178
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_178])],[avatar_definition]) ).
thf(f9476,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_178 ),
inference(avatar_component_clause,[],[f9475]) ).
thf(f9477,plain,
( ~ spl0_178
| ~ spl0_28
| spl0_145
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f9468,f9205,f8759,f354,f9475]) ).
thf(f9478,plain,
( spl0_135
| ~ spl0_12
| ~ spl0_153
| ~ spl0_176 ),
inference(avatar_split_clause,[],[f9472,f9205,f8788,f169,f7957]) ).
thf(f9483,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_148 ),
inference(constrained_superposition,[],[f8771,f35]) ).
thf(f9490,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_148 ),
inference(trivial_inequality_removal,[],[f9483]) ).
thf(f9493,plain,
( spl0_135
| ~ spl0_35
| ~ spl0_153
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f9490,f8770,f8788,f452,f7957]) ).
thf(f9494,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f28,f7982]) ).
thf(f9495,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f9494]) ).
thf(f9496,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_149 ),
inference(constrained_superposition,[],[f7455,f8774]) ).
thf(f9497,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_30
| ~ spl0_149 ),
inference(constrained_superposition,[],[f9060,f8774]) ).
thf(f9500,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f9496]) ).
thf(f9503,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_30
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f9497]) ).
thf(f9504,plain,
( $false
| ~ spl0_34
| ~ spl0_137
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f9500,f7982]) ).
thf(f9505,plain,
( ~ spl0_34
| ~ spl0_137
| ~ spl0_149 ),
inference(avatar_contradiction_clause,[],[f9504]) ).
thf(f9506,plain,
( $false
| ~ spl0_30
| ~ spl0_126
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f9503,f7884]) ).
thf(f9507,plain,
( ~ spl0_30
| ~ spl0_126
| ~ spl0_149 ),
inference(avatar_contradiction_clause,[],[f9506]) ).
thf(f9508,plain,
( ~ spl0_12
| ~ spl0_27
| spl0_126
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f9437,f8756,f7883,f351,f169]) ).
thf(f9509,plain,
( spl0_126
| spl0_127 ),
inference(avatar_split_clause,[],[f9220,f7887,f7883]) ).
thf(f9525,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_132
| ~ spl0_142 ),
inference(constrained_superposition,[],[f9083,f7935]) ).
thf(f9531,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_132
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f9525]) ).
thf(f9532,plain,
( $false
| ~ spl0_132
| ~ spl0_137
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f9531,f7982]) ).
thf(f9533,plain,
( ~ spl0_132
| ~ spl0_137
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f9532]) ).
thf(f9535,definition,
( spl0_179
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_179])],[avatar_definition]) ).
thf(f9536,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f9535]) ).
thf(f9538,plain,
( ~ spl0_157
| ~ spl0_151
| ~ spl0_134
| ~ spl0_146 ),
inference(avatar_split_clause,[],[f9388,f8763,f7941,f8782,f8803]) ).
thf(f9544,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_175 ),
inference(constrained_superposition,[],[f9201,f90]) ).
thf(f9551,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f9544]) ).
thf(f9555,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_126
| ~ spl0_175 ),
inference(forward_subsumption_resolution,[],[f9551,f7901]) ).
thf(f9556,plain,
( ~ spl0_27
| spl0_126
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f9555,f9200,f7883,f351]) ).
thf(f9557,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_133 ),
inference(constrained_superposition,[],[f9407,f7939]) ).
thf(f9558,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_133
| ~ spl0_136 ),
inference(constrained_superposition,[],[f9267,f7939]) ).
thf(f9560,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f28,f7939]) ).
thf(f9561,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_97
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f9557]) ).
thf(f9562,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_133
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f9558]) ).
thf(f9563,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f9560]) ).
thf(f9565,plain,
( $false
| ~ spl0_97
| ~ spl0_133
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f9561,f8786]) ).
thf(f9566,plain,
( ~ spl0_97
| ~ spl0_133
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[],[f9565]) ).
thf(f9620,definition,
( spl0_181
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_181])],[avatar_definition]) ).
thf(f9621,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f9620]) ).
thf(f9665,definition,
( spl0_183
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_183])],[avatar_definition]) ).
thf(f9666,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f9665]) ).
thf(f9699,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_154 ),
inference(constrained_superposition,[],[f8793,f264]) ).
thf(f9706,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f9699]) ).
thf(f9709,definition,
( spl0_184
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_184])],[avatar_definition]) ).
thf(f9710,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f9709]) ).
thf(f9711,plain,
( spl0_171
| ~ spl0_27
| spl0_184
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f9706,f8792,f9709,f351,f9142]) ).
thf(f9745,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_3 ),
inference(constrained_superposition,[],[f106,f91]) ).
thf(f9753,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f9745]) ).
thf(f9772,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_70
| ~ spl0_133
| ~ spl0_136 ),
inference(constrained_superposition,[],[f9562,f1815]) ).
thf(f9774,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_70
| ~ spl0_133
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f9772]) ).
thf(f9776,plain,
( spl0_138
| ~ spl0_70
| ~ spl0_133
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f9774,f7978,f7938,f1814,f7984]) ).
thf(f9799,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f9351,f30]) ).
thf(f9800,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f9351,f37]) ).
thf(f9803,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f9800]) ).
thf(f9805,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f9799]) ).
thf(f9806,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f9805]) ).
thf(f9808,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f9803,f26]) ).
thf(f9810,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true != $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f9806,f30]) ).
thf(f9811,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f9810]) ).
thf(f9834,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_143 ),
inference(constrained_superposition,[],[f263,f8699]) ).
thf(f9946,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f9834,f27]) ).
thf(f9956,plain,
( $false
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f9946,f31]) ).
thf(f9957,plain,
~ spl0_143,
inference(avatar_contradiction_clause,[],[f9956]) ).
thf(f9995,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_140 ),
inference(constrained_superposition,[],[f264,f8554]) ).
thf(f10102,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f9995,f31]) ).
thf(f10135,plain,
( $false
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f10102,f27]) ).
thf(f10136,plain,
~ spl0_140,
inference(avatar_contradiction_clause,[],[f10135]) ).
thf(f10172,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_168 ),
inference(avatar_component_clause,[],[f9073]) ).
thf(f10194,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f28,f9811]) ).
thf(f10198,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f10194]) ).
thf(f10201,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f10198,f28]) ).
thf(f10282,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_131
| ~ spl0_154 ),
inference(constrained_superposition,[],[f8793,f7932]) ).
thf(f10283,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_131
| ~ spl0_172 ),
inference(constrained_superposition,[],[f9188,f7932]) ).
thf(f10284,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_32
| ~ spl0_131 ),
inference(constrained_superposition,[],[f369,f7932]) ).
thf(f10301,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_32
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f10284]) ).
thf(f10307,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131
| ~ spl0_154 ),
inference(duplicate_literal_removal,[],[f10282]) ).
thf(f10308,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_131
| ~ spl0_154 ),
inference(trivial_inequality_removal,[],[f10307]) ).
thf(f10310,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_131
| ~ spl0_172 ),
inference(trivial_inequality_removal,[],[f10283]) ).
thf(f10317,definition,
( spl0_188
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_188])],[avatar_definition]) ).
thf(f10318,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f10317]) ).
thf(f10319,plain,
( ~ spl0_129
| spl0_188
| spl0_145
| ~ spl0_32
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f10301,f7931,f368,f8759,f10317,f7898]) ).
thf(f10322,definition,
( spl0_189
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_189])],[avatar_definition]) ).
thf(f10323,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_189 ),
inference(avatar_component_clause,[],[f10322]) ).
thf(f10324,plain,
( spl0_189
| ~ spl0_129
| ~ spl0_131
| ~ spl0_154 ),
inference(avatar_split_clause,[],[f10308,f8792,f7931,f7898,f10322]) ).
thf(f10326,definition,
( spl0_190
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_190])],[avatar_definition]) ).
thf(f10327,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_190 ),
inference(avatar_component_clause,[],[f10326]) ).
thf(f10328,plain,
( spl0_190
| ~ spl0_169
| ~ spl0_131
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f10310,f9187,f7931,f9136,f10326]) ).
thf(f10330,definition,
( spl0_191
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_191])],[avatar_definition]) ).
thf(f10331,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_191 ),
inference(avatar_component_clause,[],[f10330]) ).
thf(f10334,definition,
( spl0_192
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_192])],[avatar_definition]) ).
thf(f10335,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_192 ),
inference(avatar_component_clause,[],[f10334]) ).
thf(f10337,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_191 ),
inference(constrained_superposition,[],[f10331,f263]) ).
thf(f10339,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_191 ),
inference(constrained_superposition,[],[f10331,f37]) ).
thf(f10340,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_191 ),
inference(constrained_superposition,[],[f10331,f30]) ).
thf(f10342,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_191 ),
inference(trivial_inequality_removal,[],[f10337]) ).
thf(f10343,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_191 ),
inference(trivial_inequality_removal,[],[f10339]) ).
thf(f10344,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_191 ),
inference(trivial_inequality_removal,[],[f10340]) ).
thf(f10346,plain,
( spl0_145
| spl0_191 ),
inference(avatar_split_clause,[],[f10342,f10330,f8759]) ).
thf(f10347,plain,
( spl0_145
| spl0_138
| spl0_191 ),
inference(avatar_split_clause,[],[f10343,f10330,f7984,f8759]) ).
thf(f10348,plain,
( spl0_143
| spl0_145
| spl0_191 ),
inference(avatar_split_clause,[],[f10344,f10330,f8759,f8698]) ).
thf(f10361,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_132
| ~ spl0_152 ),
inference(constrained_superposition,[],[f9272,f7935]) ).
thf(f10365,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_132
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f10361]) ).
thf(f10370,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f10323,f264]) ).
thf(f10375,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f10370]) ).
thf(f10379,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_168
| ~ spl0_189 ),
inference(forward_subsumption_resolution,[],[f10375,f10172]) ).
thf(f10380,plain,
( ~ spl0_27
| spl0_168
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f10379,f10322,f9073,f351]) ).
thf(f10381,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f10335,f263]) ).
thf(f10388,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f10381]) ).
thf(f10393,plain,
( spl0_145
| ~ spl0_28
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f10388,f10334,f354,f8759]) ).
thf(f10396,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f10327,f263]) ).
thf(f10397,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_190 ),
inference(constrained_superposition,[],[f10327,f90]) ).
thf(f10402,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f10396]) ).
thf(f10404,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f10397]) ).
thf(f10408,plain,
( spl0_149
| ~ spl0_169
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f10402,f10326,f9136,f8773]) ).
thf(f10409,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_126
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f10404,f7901]) ).
thf(f10410,plain,
( ~ spl0_129
| spl0_126
| ~ spl0_190 ),
inference(avatar_split_clause,[],[f10409,f10326,f7883,f7898]) ).
thf(f10501,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true != $true ) )
| ~ spl0_29
| ~ spl0_34 ),
inference(constrained_superposition,[],[f7455,f358]) ).
thf(f10507,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| ~ spl0_29
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f10501]) ).
thf(f10509,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ~ spl0_29
| ~ spl0_34
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f10507,f725]) ).
thf(f10510,plain,
( ( $true != $true )
| ~ spl0_29
| ~ spl0_34
| ~ spl0_53
| spl0_126 ),
inference(constrained_superposition,[],[f7901,f10509]) ).
thf(f10518,plain,
( $false
| ~ spl0_29
| ~ spl0_34
| ~ spl0_53
| spl0_126 ),
inference(trivial_inequality_removal,[],[f10510]) ).
thf(f10519,plain,
( ~ spl0_29
| ~ spl0_34
| ~ spl0_53
| spl0_126 ),
inference(avatar_contradiction_clause,[],[f10518]) ).
thf(f10527,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_160
| spl0_168 ),
inference(constrained_superposition,[],[f10172,f9001]) ).
thf(f10542,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_160
| spl0_168 ),
inference(trivial_inequality_removal,[],[f10527]) ).
thf(f10550,plain,
( $false
| spl0_97
| ~ spl0_160
| spl0_168 ),
inference(forward_subsumption_resolution,[],[f10542,f4373]) ).
thf(f10551,plain,
( spl0_97
| ~ spl0_160
| spl0_168 ),
inference(avatar_contradiction_clause,[],[f10550]) ).
thf(f10554,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_161 ),
inference(constrained_superposition,[],[f9004,f30]) ).
thf(f10565,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f10554]) ).
thf(f10590,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f9808,f36]) ).
thf(f10592,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f10590]) ).
thf(f10602,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f28,f10592]) ).
thf(f10608,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f10602]) ).
thf(f10612,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f10608,f28]) ).
thf(f10735,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| spl0_21 ),
inference(avatar_component_clause,[],[f330]) ).
thf(f10766,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_161 ),
inference(constrained_superposition,[],[f10565,f35]) ).
thf(f10772,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_161 ),
inference(trivial_inequality_removal,[],[f10766]) ).
thf(f10781,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f6334,f30]) ).
thf(f10784,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f10781]) ).
thf(f10785,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_38 ),
inference(constrained_superposition,[],[f6345,f36]) ).
thf(f10787,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) ) )
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f10785]) ).
thf(f10791,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_21
| ~ spl0_38 ),
inference(constrained_superposition,[],[f10735,f10787]) ).
thf(f10804,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_21
| ~ spl0_38 ),
inference(trivial_inequality_removal,[],[f10791]) ).
thf(f10949,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ X1 )
= X0 ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f10784,f30]) ).
thf(f10951,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ X1 )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f10949]) ).
thf(f10952,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ X0 ) )
| ( z = X0 )
| ( ( s @ X1 )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f10951]) ).
thf(f10975,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_1
| spl0_21 ),
inference(constrained_superposition,[],[f10735,f10952]) ).
thf(f11002,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_30 ),
inference(constrained_superposition,[],[f9060,f10952]) ).
thf(f11006,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_133 ),
inference(constrained_superposition,[],[f9563,f10952]) ).
thf(f11007,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_152 ),
inference(constrained_superposition,[],[f9272,f10952]) ).
thf(f11010,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ X1 ) )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z = X1 )
| ( ( s @ z )
= X1 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_11 ),
inference(constrained_superposition,[],[f10201,f10952]) ).
thf(f11011,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_1
| ~ spl0_11 ),
inference(constrained_superposition,[],[f10612,f10952]) ).
thf(f11014,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_1
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f11002]) ).
thf(f11017,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z = X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z
= ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f11011]) ).
thf(f11029,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( z = X1 )
| ( $true
= ( r @ z @ X1 ) ) )
| ~ spl0_1
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f11010]) ).
thf(f11036,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_21 ),
inference(trivial_inequality_removal,[],[f10975]) ).
thf(f11050,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f11007]) ).
thf(f11070,plain,
( ! [X0: $i] :
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_1
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f11006]) ).
thf(f11077,plain,
( ! [X0: $i,X1: $i] :
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z = X1 ) )
| ~ spl0_1
| spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f11017,f3069]) ).
thf(f11082,plain,
( ! [X0: $i,X1: $i] :
( ( z = X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ X1 ) )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ z )
= X1 ) )
| ~ spl0_1
| spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f11029,f3069]) ).
thf(f11089,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f11050,f32]) ).
thf(f11094,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[],[f11070,f32]) ).
thf(f11097,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( z = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_1
| spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f11077,f32]) ).
thf(f11099,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( $true
= ( r @ z @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_1
| spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f11082,f32]) ).
thf(f11104,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_133
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f11094,f9267]) ).
thf(f11107,definition,
( spl0_194
<=> ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_194])],[avatar_definition]) ).
thf(f11108,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ X1 ) ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 ) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f11107]) ).
thf(f11109,plain,
( spl0_194
| spl0_14
| ~ spl0_1
| spl0_4
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f11097,f166,f108,f50,f176,f11107]) ).
thf(f11115,definition,
( spl0_196
<=> ! [X0: $i,X1: $i] :
( ( ( s @ z )
= X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ X1 ) )
| ( z = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_196])],[avatar_definition]) ).
thf(f11116,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ X1 )
!= $true )
| ( ( s @ z )
= X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ z @ X1 ) )
| ( z = X1 ) )
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f11115]) ).
thf(f11117,plain,
( spl0_196
| spl0_14
| ~ spl0_1
| spl0_4
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f11099,f166,f108,f50,f176,f11115]) ).
thf(f11123,definition,
( spl0_198
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_198])],[avatar_definition]) ).
thf(f11124,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f11123]) ).
thf(f11130,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_133
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f11104,f9562]) ).
thf(f11132,definition,
( spl0_200
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_200])],[avatar_definition]) ).
thf(f11133,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f11132]) ).
thf(f11134,plain,
( spl0_200
| spl0_142
| ~ spl0_1
| ~ spl0_133
| ~ spl0_136 ),
inference(avatar_split_clause,[],[f11130,f7978,f7938,f50,f8559,f11132]) ).
thf(f11364,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
!= ( s @ z ) )
| spl0_140 ),
inference(avatar_component_clause,[],[f8553]) ).
thf(f11416,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_140 ),
inference(extensionality_resolution,[],[f88,f11364]) ).
thf(f11417,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_140 ),
inference(extensionality_resolution,[],[f88,f11364]) ).
thf(f11424,definition,
( spl0_208
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_208])],[avatar_definition]) ).
thf(f11425,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_208 ),
inference(avatar_component_clause,[],[f11424]) ).
thf(f11427,definition,
( spl0_209
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_209])],[avatar_definition]) ).
thf(f11428,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_209 ),
inference(avatar_component_clause,[],[f11427]) ).
thf(f11429,plain,
( spl0_208
| spl0_209
| spl0_140 ),
inference(avatar_split_clause,[],[f11416,f8553,f11427,f11424]) ).
thf(f11431,definition,
( spl0_210
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_210])],[avatar_definition]) ).
thf(f11432,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f11431]) ).
thf(f11434,definition,
( spl0_211
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_211])],[avatar_definition]) ).
thf(f11435,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_211 ),
inference(avatar_component_clause,[],[f11434]) ).
thf(f11436,plain,
( spl0_210
| spl0_211
| spl0_140 ),
inference(avatar_split_clause,[],[f11417,f8553,f11434,f11431]) ).
thf(f11446,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_200
| ~ spl0_209 ),
inference(constrained_superposition,[],[f11133,f11428]) ).
thf(f11467,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_200
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f11446]) ).
thf(f11533,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 ) )
| ~ spl0_200
| ~ spl0_209 ),
inference(constrained_superposition,[],[f26,f11467]) ).
thf(f11638,definition,
( spl0_213
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_213])],[avatar_definition]) ).
thf(f11639,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_213 ),
inference(avatar_component_clause,[],[f11638]) ).
thf(f11645,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_171 ),
inference(avatar_component_clause,[],[f9142]) ).
thf(f11657,definition,
( spl0_217
<=> ! [X0: $i] :
( ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_217])],[avatar_definition]) ).
thf(f11658,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( z = X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_217 ),
inference(avatar_component_clause,[],[f11657]) ).
thf(f11665,definition,
( spl0_219
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_219])],[avatar_definition]) ).
thf(f11666,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_219 ),
inference(avatar_component_clause,[],[f11665]) ).
thf(f11674,definition,
( spl0_221
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_221])],[avatar_definition]) ).
thf(f11675,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_221 ),
inference(avatar_component_clause,[],[f11674]) ).
thf(f11681,definition,
( spl0_222
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_222])],[avatar_definition]) ).
thf(f11682,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_222 ),
inference(avatar_component_clause,[],[f11681]) ).
thf(f11703,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_200
| ~ spl0_209 ),
inference(equality_resolution,[],[f11533]) ).
thf(f11766,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= X0 ) )
| ~ spl0_200
| ~ spl0_209 ),
inference(constrained_superposition,[],[f26,f11703]) ).
thf(f11861,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_200
| ~ spl0_209 ),
inference(equality_resolution,[],[f11766]) ).
thf(f11862,plain,
( spl0_143
| ~ spl0_200
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f11861,f11427,f11132,f8698]) ).
thf(f11864,definition,
( spl0_223
<=> ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_223])],[avatar_definition]) ).
thf(f11865,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f11864]) ).
thf(f11888,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_184
| ~ spl0_208 ),
inference(constrained_superposition,[],[f9710,f11425]) ).
thf(f11904,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_184
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f11888]) ).
thf(f11920,definition,
( spl0_225
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_225])],[avatar_definition]) ).
thf(f11921,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_225 ),
inference(avatar_component_clause,[],[f11920]) ).
thf(f11924,definition,
( spl0_226
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_226])],[avatar_definition]) ).
thf(f11925,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_226 ),
inference(avatar_component_clause,[],[f11924]) ).
thf(f11929,definition,
( spl0_227
<=> ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_227])],[avatar_definition]) ).
thf(f11930,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| spl0_227 ),
inference(avatar_component_clause,[],[f11929]) ).
thf(f11932,definition,
( spl0_228
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_228])],[avatar_definition]) ).
thf(f11933,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_228 ),
inference(avatar_component_clause,[],[f11932]) ).
thf(f11934,plain,
( ~ spl0_227
| ~ spl0_228
| ~ spl0_184
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f11904,f11424,f9709,f11932,f11929]) ).
thf(f11939,definition,
( spl0_230
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_230])],[avatar_definition]) ).
thf(f11940,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_230 ),
inference(avatar_component_clause,[],[f11939]) ).
thf(f11945,definition,
( spl0_231
<=> ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_231])],[avatar_definition]) ).
thf(f11946,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| spl0_231 ),
inference(avatar_component_clause,[],[f11945]) ).
thf(f11948,definition,
( spl0_232
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_232])],[avatar_definition]) ).
thf(f11949,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f11948]) ).
thf(f11960,definition,
( spl0_235
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_235])],[avatar_definition]) ).
thf(f11961,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_235 ),
inference(avatar_component_clause,[],[f11960]) ).
thf(f11964,definition,
( spl0_236
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_236])],[avatar_definition]) ).
thf(f11965,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| spl0_236 ),
inference(avatar_component_clause,[],[f11964]) ).
thf(f11969,definition,
( spl0_237
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_237])],[avatar_definition]) ).
thf(f11970,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_237 ),
inference(avatar_component_clause,[],[f11969]) ).
thf(f11973,definition,
( spl0_238
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_238])],[avatar_definition]) ).
thf(f11974,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| spl0_238 ),
inference(avatar_component_clause,[],[f11973]) ).
thf(f11976,definition,
( spl0_239
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_239])],[avatar_definition]) ).
thf(f11977,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_239 ),
inference(avatar_component_clause,[],[f11976]) ).
thf(f11980,definition,
( spl0_240
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_240])],[avatar_definition]) ).
thf(f11981,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_240 ),
inference(avatar_component_clause,[],[f11980]) ).
thf(f11987,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_231 ),
inference(constrained_superposition,[],[f11946,f36]) ).
thf(f11990,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_231 ),
inference(trivial_inequality_removal,[],[f11987]) ).
thf(f11994,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_231 ),
inference(constrained_superposition,[],[f28,f11990]) ).
thf(f11995,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| spl0_231 ),
inference(trivial_inequality_removal,[],[f11994]) ).
thf(f12018,definition,
( spl0_241
<=> ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_241])],[avatar_definition]) ).
thf(f12019,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_241 ),
inference(avatar_component_clause,[],[f12018]) ).
thf(f12021,definition,
( spl0_242
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_242])],[avatar_definition]) ).
thf(f12022,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_242 ),
inference(avatar_component_clause,[],[f12021]) ).
thf(f12072,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_226 ),
inference(constrained_superposition,[],[f7455,f11925]) ).
thf(f12073,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_30
| ~ spl0_226 ),
inference(constrained_superposition,[],[f9060,f11925]) ).
thf(f12085,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f12072]) ).
thf(f12089,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_30
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f12073]) ).
thf(f12092,plain,
( $false
| ~ spl0_34
| ~ spl0_226
| ~ spl0_230 ),
inference(forward_subsumption_resolution,[],[f12085,f11940]) ).
thf(f12093,plain,
( ~ spl0_34
| ~ spl0_226
| ~ spl0_230 ),
inference(avatar_contradiction_clause,[],[f12092]) ).
thf(f12094,plain,
( $false
| ~ spl0_30
| ~ spl0_225
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f12089,f11921]) ).
thf(f12095,plain,
( ~ spl0_30
| ~ spl0_225
| ~ spl0_226 ),
inference(avatar_contradiction_clause,[],[f12094]) ).
thf(f12096,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_178 ),
inference(constrained_superposition,[],[f9476,f263]) ).
thf(f12098,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| spl0_178 ),
inference(constrained_superposition,[],[f9476,f37]) ).
thf(f12101,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| spl0_178 ),
inference(trivial_inequality_removal,[],[f12098]) ).
thf(f12102,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_178 ),
inference(trivial_inequality_removal,[],[f12096]) ).
thf(f12105,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| spl0_33
| spl0_178 ),
inference(forward_subsumption_resolution,[],[f12101,f4312]) ).
thf(f12106,plain,
( spl0_149
| spl0_178 ),
inference(avatar_split_clause,[],[f12102,f9475,f8773]) ).
thf(f12108,plain,
( spl0_149
| spl0_33
| spl0_178 ),
inference(avatar_split_clause,[],[f12105,f9475,f393,f8773]) ).
thf(f12119,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_168
| ~ spl0_200 ),
inference(constrained_superposition,[],[f11133,f9074]) ).
thf(f12120,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_136
| ~ spl0_168 ),
inference(constrained_superposition,[],[f9267,f9074]) ).
thf(f12127,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_136
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f12120]) ).
thf(f12131,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_168
| ~ spl0_200 ),
inference(trivial_inequality_removal,[],[f12119]) ).
thf(f12138,plain,
( $false
| ~ spl0_34
| ~ spl0_136
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f12127,f428]) ).
thf(f12139,plain,
( ~ spl0_34
| ~ spl0_136
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f12138]) ).
thf(f12140,plain,
( spl0_143
| ~ spl0_168
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f12131,f11132,f9073,f8698]) ).
thf(f12148,plain,
( ~ spl0_12
| spl0_11
| spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f9753,f105,f172,f166,f169]) ).
thf(f12150,definition,
( spl0_244
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_244])],[avatar_definition]) ).
thf(f12151,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_244 ),
inference(avatar_component_clause,[],[f12150]) ).
thf(f12152,plain,
( spl0_142
| spl0_135
| spl0_244
| ~ spl0_1
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f11094,f7938,f50,f12150,f7957,f8559]) ).
thf(f12156,plain,
( spl0_135
| spl0_142
| spl0_198
| ~ spl0_1
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f11089,f8785,f50,f11123,f8559,f7957]) ).
thf(f12191,definition,
( spl0_247
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_247])],[avatar_definition]) ).
thf(f12192,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_247 ),
inference(avatar_component_clause,[],[f12191]) ).
thf(f12195,definition,
( spl0_248
<=> ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_248])],[avatar_definition]) ).
thf(f12196,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f12195]) ).
thf(f12204,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_137
| ~ spl0_209 ),
inference(constrained_superposition,[],[f9495,f11428]) ).
thf(f12206,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f28,f11428]) ).
thf(f12210,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f12206]) ).
thf(f12213,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_137
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f12204]) ).
thf(f12215,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_47
| ~ spl0_211 ),
inference(constrained_superposition,[],[f663,f11435]) ).
thf(f12247,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_47
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f12215]) ).
thf(f12260,plain,
( spl0_149
| ~ spl0_238
| ~ spl0_228
| ~ spl0_47
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f12247,f11434,f662,f11932,f11973,f8773]) ).
thf(f12311,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_228 ),
inference(constrained_superposition,[],[f11933,f30]) ).
thf(f12315,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_228 ),
inference(trivial_inequality_removal,[],[f12311]) ).
thf(f12319,plain,
( spl0_248
| spl0_226
| spl0_228 ),
inference(avatar_split_clause,[],[f12315,f11932,f11924,f12195]) ).
thf(f12333,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_210
| spl0_231 ),
inference(constrained_superposition,[],[f11995,f11432]) ).
thf(f12342,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_210
| spl0_231 ),
inference(trivial_inequality_removal,[],[f12333]) ).
thf(f12343,plain,
( $false
| ~ spl0_137
| ~ spl0_210
| spl0_231 ),
inference(forward_subsumption_resolution,[],[f12342,f7982]) ).
thf(f12344,plain,
( ~ spl0_137
| ~ spl0_210
| spl0_231 ),
inference(avatar_contradiction_clause,[],[f12343]) ).
thf(f12375,definition,
( spl0_254
<=> ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_254])],[avatar_definition]) ).
thf(f12376,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_254 ),
inference(avatar_component_clause,[],[f12375]) ).
thf(f12417,definition,
( spl0_255
<=> ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ X0 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_255])],[avatar_definition]) ).
thf(f12418,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_255 ),
inference(avatar_component_clause,[],[f12417]) ).
thf(f12424,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_209 ),
inference(constrained_superposition,[],[f12210,f10952]) ).
thf(f12429,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f12424]) ).
thf(f12430,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f12429,f32]) ).
thf(f12431,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_137
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f12430,f9495]) ).
thf(f12432,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_137
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f12431,f12213]) ).
thf(f12434,definition,
( spl0_256
<=> ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_256])],[avatar_definition]) ).
thf(f12435,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_256 ),
inference(avatar_component_clause,[],[f12434]) ).
thf(f12436,plain,
( spl0_254
| spl0_256
| ~ spl0_1
| ~ spl0_137
| ~ spl0_209 ),
inference(avatar_split_clause,[],[f12432,f11427,f7981,f50,f12434,f12375]) ).
thf(f12736,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_209
| ~ spl0_247 ),
inference(constrained_superposition,[],[f12210,f12192]) ).
thf(f12748,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_209
| ~ spl0_247 ),
inference(trivial_inequality_removal,[],[f12736]) ).
thf(f12755,plain,
( ~ spl0_168
| ~ spl0_209
| ~ spl0_247 ),
inference(avatar_split_clause,[],[f12748,f12191,f11427,f9073]) ).
thf(f12774,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_137
| ~ spl0_168 ),
inference(constrained_superposition,[],[f9495,f9074]) ).
thf(f12779,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_137
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f12774]) ).
thf(f12785,plain,
( $false
| ~ spl0_34
| ~ spl0_137
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f12779,f428]) ).
thf(f12786,plain,
( ~ spl0_34
| ~ spl0_137
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f12785]) ).
thf(f12793,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| spl0_236 ),
inference(constrained_superposition,[],[f11965,f35]) ).
thf(f12795,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| spl0_236 ),
inference(trivial_inequality_removal,[],[f12793]) ).
thf(f12798,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f8801,f90]) ).
thf(f12804,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f12798]) ).
thf(f12809,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| spl0_126
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f12804,f7901]) ).
thf(f12810,plain,
( ~ spl0_16
| spl0_126
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f12809,f8800,f7883,f226]) ).
thf(f12812,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_134
| ~ spl0_179 ),
inference(constrained_superposition,[],[f9536,f7942]) ).
thf(f12814,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_47
| ~ spl0_134 ),
inference(constrained_superposition,[],[f663,f7942]) ).
thf(f12825,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_41
| ~ spl0_134 ),
inference(constrained_superposition,[],[f577,f7942]) ).
thf(f12828,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f79,f7942]) ).
thf(f12831,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_41
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f12825]) ).
thf(f12846,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_134
| ~ spl0_179 ),
inference(trivial_inequality_removal,[],[f12812]) ).
thf(f12847,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f12828]) ).
thf(f12850,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_47
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f12814]) ).
thf(f12851,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_41
| spl0_126
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f12831,f7901]) ).
thf(f12854,plain,
( ~ spl0_178
| ~ spl0_125
| ~ spl0_134
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f12846,f9535,f7941,f7878,f9475]) ).
thf(f12856,definition,
( spl0_257
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_257])],[avatar_definition]) ).
thf(f12857,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_257 ),
inference(avatar_component_clause,[],[f12856]) ).
thf(f12858,plain,
( spl0_257
| ~ spl0_151
| spl0_136
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f12847,f7941,f7978,f8782,f12856]) ).
thf(f12860,plain,
( ~ spl0_178
| ~ spl0_169
| spl0_145
| ~ spl0_47
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f12850,f7941,f662,f8759,f9136,f9475]) ).
thf(f12861,plain,
( ~ spl0_157
| ~ spl0_151
| ~ spl0_125
| ~ spl0_41
| spl0_126
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f12851,f7941,f7883,f576,f7878,f8782,f8803]) ).
thf(f12863,definition,
( spl0_258
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_258])],[avatar_definition]) ).
thf(f12864,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_258 ),
inference(avatar_component_clause,[],[f12863]) ).
thf(f12868,definition,
( spl0_259
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_259])],[avatar_definition]) ).
thf(f12869,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_259 ),
inference(avatar_component_clause,[],[f12868]) ).
thf(f12872,plain,
( spl0_230
| spl0_236 ),
inference(avatar_split_clause,[],[f12795,f11964,f11939]) ).
thf(f12876,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f28,f177]) ).
thf(f12877,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f12876]) ).
thf(f12886,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_14
| ~ spl0_30 ),
inference(constrained_superposition,[],[f12877,f362]) ).
thf(f12892,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_14
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f12886]) ).
thf(f12893,plain,
( $false
| ~ spl0_14
| ~ spl0_30
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f12892,f428]) ).
thf(f12894,plain,
( ~ spl0_14
| ~ spl0_30
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f12893]) ).
thf(f12895,plain,
( ~ spl0_126
| ~ spl0_132
| ~ spl0_152 ),
inference(avatar_split_clause,[],[f10365,f8785,f7934,f7883]) ).
thf(f12969,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_156 ),
inference(constrained_superposition,[],[f8801,f263]) ).
thf(f12976,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f12969]) ).
thf(f12981,plain,
( ~ spl0_37
| spl0_149
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f12976,f8800,f8773,f458]) ).
thf(f13018,definition,
( spl0_260
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_260])],[avatar_definition]) ).
thf(f13019,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| spl0_260 ),
inference(avatar_component_clause,[],[f13018]) ).
thf(f13022,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_260 ),
inference(constrained_superposition,[],[f13019,f37]) ).
thf(f13026,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_260 ),
inference(trivial_inequality_removal,[],[f13022]) ).
thf(f13030,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_152
| spl0_260 ),
inference(forward_subsumption_resolution,[],[f13026,f9243]) ).
thf(f13033,plain,
( $false
| spl0_152
| spl0_260 ),
inference(forward_subsumption_resolution,[],[f13030,f32]) ).
thf(f13034,plain,
( spl0_152
| spl0_260 ),
inference(avatar_contradiction_clause,[],[f13033]) ).
thf(f13039,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_137 ),
inference(constrained_superposition,[],[f9495,f7939]) ).
thf(f13044,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_133
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f13039]) ).
thf(f13050,plain,
( $false
| ~ spl0_133
| ~ spl0_135
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f13044,f7958]) ).
thf(f13051,plain,
( ~ spl0_133
| ~ spl0_135
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f13050]) ).
thf(f13056,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_34
| ~ spl0_145 ),
inference(constrained_superposition,[],[f7455,f8760]) ).
thf(f13063,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_34
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f13056]) ).
thf(f13068,plain,
( $false
| ~ spl0_34
| ~ spl0_135
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f13063,f7958]) ).
thf(f13069,plain,
( ~ spl0_34
| ~ spl0_135
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f13068]) ).
thf(f13130,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| spl0_171 ),
inference(constrained_superposition,[],[f11645,f10952]) ).
thf(f13131,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_171 ),
inference(trivial_inequality_removal,[],[f13130]) ).
thf(f13138,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_1
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f11014,f32]) ).
thf(f13139,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_21
| spl0_34
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f10804,f6434]) ).
thf(f13143,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f10772,f32]) ).
thf(f13145,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_21
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f11036,f4312]) ).
thf(f13147,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_34
| spl0_171 ),
inference(forward_subsumption_resolution,[],[f13131,f6434]) ).
thf(f13153,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_30
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f13138,f6434]) ).
thf(f13154,plain,
( spl0_20
| spl0_21
| spl0_34
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f13139,f486,f427,f330,f326]) ).
thf(f13155,plain,
( spl0_20
| ~ spl0_12
| spl0_14
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f13143,f9003,f176,f169,f326]) ).
thf(f13157,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_21
| spl0_33
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f13145,f6434]) ).
thf(f13159,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_34
| spl0_171 ),
inference(forward_subsumption_resolution,[],[f13147,f32]) ).
thf(f13162,definition,
( spl0_265
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_265])],[avatar_definition]) ).
thf(f13163,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_265 ),
inference(avatar_component_clause,[],[f13162]) ).
thf(f13164,plain,
( spl0_20
| spl0_265
| ~ spl0_1
| ~ spl0_30
| spl0_34 ),
inference(avatar_split_clause,[],[f13153,f427,f361,f50,f13162,f326]) ).
thf(f13165,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_21
| spl0_33
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f13157,f32]) ).
thf(f13166,plain,
( spl0_142
| spl0_143
| spl0_135
| ~ spl0_1
| spl0_34
| spl0_171 ),
inference(avatar_split_clause,[],[f13159,f9142,f427,f50,f7957,f8698,f8559]) ).
thf(f13167,plain,
( spl0_20
| spl0_14
| ~ spl0_1
| spl0_21
| spl0_33
| spl0_34 ),
inference(avatar_split_clause,[],[f13165,f427,f393,f330,f50,f176,f326]) ).
thf(f13169,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f28,f109]) ).
thf(f13171,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f13169]) ).
thf(f13199,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f28,f7958]) ).
thf(f13200,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f13199]) ).
thf(f13206,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_152 ),
inference(constrained_superposition,[],[f13171,f8786]) ).
thf(f13211,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_4
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f13206]) ).
thf(f13213,plain,
( $false
| ~ spl0_4
| ~ spl0_135
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f13211,f7958]) ).
thf(f13214,plain,
( ~ spl0_4
| ~ spl0_135
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[],[f13213]) ).
thf(f13217,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f28,f7869]) ).
thf(f13220,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f13217]) ).
thf(f13256,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32
| ~ spl0_134 ),
inference(constrained_superposition,[],[f369,f7942]) ).
thf(f13258,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_3
| ~ spl0_134 ),
inference(constrained_superposition,[],[f106,f7942]) ).
thf(f13263,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f29,f7942]) ).
thf(f13267,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_32
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f13256]) ).
thf(f13268,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_3
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f13258]) ).
thf(f13275,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f13263]) ).
thf(f13294,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_97
| ~ spl0_168 ),
inference(constrained_superposition,[],[f13220,f9074]) ).
thf(f13298,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_97
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f13294]) ).
thf(f13303,plain,
( $false
| ~ spl0_30
| ~ spl0_97
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f13298,f362]) ).
thf(f13304,plain,
( ~ spl0_30
| ~ spl0_97
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f13303]) ).
thf(f13314,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_135
| ~ spl0_141 ),
inference(constrained_superposition,[],[f13200,f8557]) ).
thf(f13315,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_132
| ~ spl0_135 ),
inference(constrained_superposition,[],[f13200,f7935]) ).
thf(f13318,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_135
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f13314]) ).
thf(f13320,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_132
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f13315]) ).
thf(f13321,plain,
( $false
| ~ spl0_132
| ~ spl0_135
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f13320,f7982]) ).
thf(f13322,plain,
( ~ spl0_132
| ~ spl0_135
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f13321]) ).
thf(f13323,plain,
( spl0_126
| ~ spl0_151
| spl0_258
| ~ spl0_3
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f13268,f7941,f105,f12863,f8782,f7883]) ).
thf(f13339,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_126 ),
inference(constrained_superposition,[],[f28,f7884]) ).
thf(f13341,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f13339]) ).
thf(f13374,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_123
| ~ spl0_131 ),
inference(constrained_superposition,[],[f7865,f7932]) ).
thf(f13375,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_131
| ~ spl0_188 ),
inference(constrained_superposition,[],[f10318,f7932]) ).
thf(f13376,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_47
| ~ spl0_131 ),
inference(constrained_superposition,[],[f663,f7932]) ).
thf(f13389,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f29,f7932]) ).
thf(f13393,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_47
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f13376]) ).
thf(f13396,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X2 )
!= $true ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f13389]) ).
thf(f13397,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131
| ~ spl0_188 ),
inference(trivial_inequality_removal,[],[f13375]) ).
thf(f13403,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_123
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f13374]) ).
thf(f13407,plain,
( ~ spl0_260
| ~ spl0_123
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f13403,f7931,f7864,f13018]) ).
thf(f13410,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_126
| ~ spl0_168 ),
inference(constrained_superposition,[],[f13341,f9074]) ).
thf(f13415,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_126
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f13410]) ).
thf(f13418,plain,
( $false
| ~ spl0_30
| ~ spl0_126
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f13415,f362]) ).
thf(f13419,plain,
( ~ spl0_30
| ~ spl0_126
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f13418]) ).
thf(f13421,plain,
( $false
| ~ spl0_14
| ~ spl0_135
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f177,f13318]) ).
thf(f13422,plain,
( ~ spl0_14
| ~ spl0_135
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f13421]) ).
thf(f13423,plain,
( ~ spl0_155
| ~ spl0_191
| ~ spl0_131
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f13397,f10317,f7931,f10330,f8797]) ).
thf(f13427,definition,
( spl0_266
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_266])],[avatar_definition]) ).
thf(f13428,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_266 ),
inference(avatar_component_clause,[],[f13427]) ).
thf(f13429,plain,
( ~ spl0_155
| spl0_149
| spl0_266
| ~ spl0_32
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f13267,f7941,f368,f13427,f8773,f8797]) ).
thf(f13432,definition,
( spl0_267
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_267])],[avatar_definition]) ).
thf(f13433,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_267 ),
inference(avatar_component_clause,[],[f13432]) ).
thf(f13466,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_8 ),
inference(constrained_superposition,[],[f139,f36]) ).
thf(f13469,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f13466]) ).
thf(f13474,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134
| ~ spl0_189 ),
inference(constrained_superposition,[],[f10323,f7942]) ).
thf(f13484,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f13474]) ).
thf(f13485,plain,
( ~ spl0_155
| ~ spl0_134
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f13484,f10322,f7941,f8797]) ).
thf(f13486,plain,
( ~ spl0_16
| spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f13469,f138,f108,f226]) ).
thf(f13531,plain,
( ~ spl0_173
| spl0_149
| ~ spl0_191
| ~ spl0_47
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f13393,f7931,f662,f10330,f8773,f9190]) ).
thf(f13534,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_145 ),
inference(constrained_superposition,[],[f28,f8760]) ).
thf(f13537,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f13534]) ).
thf(f13602,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_141
| ~ spl0_145 ),
inference(constrained_superposition,[],[f13537,f8557]) ).
thf(f13607,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_141
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f13602]) ).
thf(f13608,plain,
( $false
| ~ spl0_21
| ~ spl0_141
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f13607,f331]) ).
thf(f13609,plain,
( ~ spl0_21
| ~ spl0_141
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f13608]) ).
thf(f13616,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_137 ),
inference(constrained_superposition,[],[f9495,f7869]) ).
thf(f13618,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f28,f7869]) ).
thf(f13619,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_97
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f13616]) ).
thf(f13621,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f13618]) ).
thf(f13622,plain,
( $false
| ~ spl0_14
| ~ spl0_97
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f13619,f177]) ).
thf(f13623,plain,
( ~ spl0_14
| ~ spl0_97
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f13622]) ).
thf(f13641,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_142
| ~ spl0_145 ),
inference(constrained_superposition,[],[f13537,f8560]) ).
thf(f13648,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_142
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f13641]) ).
thf(f13670,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_97
| ~ spl0_136 ),
inference(constrained_superposition,[],[f13621,f7979]) ).
thf(f13673,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_97
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f13670]) ).
thf(f13675,plain,
( $false
| ~ spl0_4
| ~ spl0_97
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f13673,f109]) ).
thf(f13676,plain,
( ~ spl0_4
| ~ spl0_97
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f13675]) ).
thf(f13680,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_209 ),
inference(constrained_superposition,[],[f13621,f11428]) ).
thf(f13681,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_137
| ~ spl0_209 ),
inference(constrained_superposition,[],[f9495,f11428]) ).
thf(f13684,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_137
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f13681]) ).
thf(f13685,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_97
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f13680]) ).
thf(f13700,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_53
| ~ spl0_97
| ~ spl0_209 ),
inference(constrained_superposition,[],[f13685,f725]) ).
thf(f13710,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_53
| ~ spl0_97
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f13700]) ).
thf(f13715,plain,
( $false
| ~ spl0_53
| ~ spl0_97
| ~ spl0_137
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f13710,f13684]) ).
thf(f13716,plain,
( ~ spl0_53
| ~ spl0_97
| ~ spl0_137
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[],[f13715]) ).
thf(f13727,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f28,f11925]) ).
thf(f13728,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f13727]) ).
thf(f13760,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_3
| ~ spl0_208 ),
inference(constrained_superposition,[],[f106,f11425]) ).
thf(f13763,plain,
( ! [X0: $i] :
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f79,f11425]) ).
thf(f13765,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X2 ) ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f29,f11425]) ).
thf(f13767,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X2 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f13765]) ).
thf(f13772,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_3
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f13760]) ).
thf(f13774,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f13763]) ).
thf(f13779,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_3
| spl0_126
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f13772,f7901]) ).
thf(f13781,definition,
( spl0_268
<=> ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_268])],[avatar_definition]) ).
thf(f13782,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_268 ),
inference(avatar_component_clause,[],[f13781]) ).
thf(f13783,plain,
( spl0_268
| ~ spl0_231
| spl0_136
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f13774,f11424,f7978,f11945,f13781]) ).
thf(f13785,definition,
( spl0_269
<=> ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_269])],[avatar_definition]) ).
thf(f13786,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_269 ),
inference(avatar_component_clause,[],[f13785]) ).
thf(f13790,plain,
( ~ spl0_231
| spl0_240
| ~ spl0_3
| spl0_126
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f13779,f11424,f7883,f105,f11980,f11945]) ).
thf(f13792,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_134
| ~ spl0_147 ),
inference(constrained_superposition,[],[f8768,f7942]) ).
thf(f13799,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_134
| ~ spl0_147 ),
inference(trivial_inequality_removal,[],[f13792]) ).
thf(f13806,plain,
( ~ spl0_178
| ~ spl0_134
| ~ spl0_147 ),
inference(avatar_split_clause,[],[f13799,f8767,f7941,f9475]) ).
thf(f13881,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_146
| ~ spl0_208 ),
inference(constrained_superposition,[],[f8764,f11425]) ).
thf(f13886,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_146
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f13881]) ).
thf(f13895,plain,
( ~ spl0_231
| ~ spl0_236
| ~ spl0_146
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f13886,f11424,f8763,f11964,f11945]) ).
thf(f13936,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| spl0_231 ),
inference(constrained_superposition,[],[f11946,f36]) ).
thf(f13938,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_231 ),
inference(trivial_inequality_removal,[],[f13936]) ).
thf(f13941,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_226
| ~ spl0_254 ),
inference(constrained_superposition,[],[f13728,f12376]) ).
thf(f13945,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_226
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f13941]) ).
thf(f14011,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_241 ),
inference(constrained_superposition,[],[f263,f12019]) ).
thf(f14087,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f14011,f31]) ).
thf(f14103,plain,
( $false
| ~ spl0_241 ),
inference(forward_subsumption_resolution,[],[f14087,f27]) ).
thf(f14104,plain,
~ spl0_241,
inference(avatar_contradiction_clause,[],[f14103]) ).
thf(f14116,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_268 ),
inference(constrained_superposition,[],[f13782,f91]) ).
thf(f14121,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f14116]) ).
thf(f14145,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_208
| ~ spl0_240 ),
inference(constrained_superposition,[],[f11981,f11425]) ).
thf(f14153,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_208
| ~ spl0_240 ),
inference(trivial_inequality_removal,[],[f14145]) ).
thf(f14159,plain,
( ~ spl0_125
| ~ spl0_127
| ~ spl0_208
| ~ spl0_240 ),
inference(avatar_split_clause,[],[f14153,f11980,f11424,f7887,f7878]) ).
thf(f14174,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ~ spl0_208
| ~ spl0_232 ),
inference(constrained_superposition,[],[f11949,f11425]) ).
thf(f14187,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_208
| ~ spl0_232 ),
inference(trivial_inequality_removal,[],[f14174]) ).
thf(f14188,plain,
( ~ spl0_125
| ~ spl0_178
| ~ spl0_208
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f14187,f11948,f11424,f9475,f7878]) ).
thf(f14256,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_235 ),
inference(constrained_superposition,[],[f11961,f35]) ).
thf(f14263,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_235 ),
inference(trivial_inequality_removal,[],[f14256]) ).
thf(f14272,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_41
| ~ spl0_131 ),
inference(constrained_superposition,[],[f577,f7932]) ).
thf(f14283,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_41
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f14272]) ).
thf(f14293,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_131
| ~ spl0_150 ),
inference(constrained_superposition,[],[f8779,f7932]) ).
thf(f14299,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131
| ~ spl0_150 ),
inference(duplicate_literal_removal,[],[f14293]) ).
thf(f14300,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131
| ~ spl0_150 ),
inference(trivial_inequality_removal,[],[f14299]) ).
thf(f14309,plain,
( ~ spl0_125
| spl0_259
| ~ spl0_131
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f14300,f8778,f7931,f12868,f7878]) ).
thf(f14326,definition,
( spl0_274
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_274])],[avatar_definition]) ).
thf(f14327,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_274 ),
inference(avatar_component_clause,[],[f14326]) ).
thf(f14330,definition,
( spl0_275
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_275])],[avatar_definition]) ).
thf(f14331,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_275 ),
inference(avatar_component_clause,[],[f14330]) ).
thf(f14336,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_134
| ~ spl0_275 ),
inference(constrained_superposition,[],[f14331,f7942]) ).
thf(f14346,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134
| ~ spl0_275 ),
inference(trivial_inequality_removal,[],[f14336]) ).
thf(f14351,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f14327,f263]) ).
thf(f14362,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f14351]) ).
thf(f14365,plain,
( ~ spl0_35
| ~ spl0_169
| spl0_149
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f14362,f14326,f8773,f9136,f452]) ).
thf(f14366,plain,
( spl0_242
| ~ spl0_12
| ~ spl0_16
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f14121,f13781,f226,f169,f12021]) ).
thf(f14379,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_128
| ~ spl0_134 ),
inference(constrained_superposition,[],[f7896,f7942]) ).
thf(f14385,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_128
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f14379]) ).
thf(f14393,plain,
( ~ spl0_155
| ~ spl0_260
| ~ spl0_128
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f14385,f7941,f7895,f13018,f8797]) ).
thf(f14430,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_131 ),
inference(constrained_superposition,[],[f136,f7932]) ).
thf(f14445,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f14430]) ).
thf(f14452,plain,
( spl0_126
| ~ spl0_260
| ~ spl0_155
| ~ spl0_7
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14445,f7931,f135,f8797,f13018,f7883]) ).
thf(f14461,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_211
| ~ spl0_239 ),
inference(constrained_superposition,[],[f11977,f11435]) ).
thf(f14466,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_211
| ~ spl0_239 ),
inference(trivial_inequality_removal,[],[f14461]) ).
thf(f14472,plain,
( ~ spl0_169
| spl0_190
| ~ spl0_211
| ~ spl0_239 ),
inference(avatar_split_clause,[],[f14466,f11976,f11434,f10326,f9136]) ).
thf(f14525,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_211
| ~ spl0_269 ),
inference(constrained_superposition,[],[f13786,f11435]) ).
thf(f14529,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_211
| ~ spl0_269 ),
inference(trivial_inequality_removal,[],[f14525]) ).
thf(f14537,plain,
( ~ spl0_125
| spl0_274
| ~ spl0_211
| ~ spl0_269 ),
inference(avatar_split_clause,[],[f14529,f13785,f11434,f14326,f7878]) ).
thf(f14595,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_134 ),
inference(constrained_superposition,[],[f324,f7942]) ).
thf(f14596,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_19
| ~ spl0_208 ),
inference(constrained_superposition,[],[f324,f11425]) ).
thf(f14597,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_19
| ~ spl0_131 ),
inference(constrained_superposition,[],[f324,f7932]) ).
thf(f14602,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f14595]) ).
thf(f14606,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_19
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f14596]) ).
thf(f14612,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_19
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f14597]) ).
thf(f14655,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f13275,f7942]) ).
thf(f14657,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f13275,f90]) ).
thf(f14667,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f14657]) ).
thf(f14668,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f14655]) ).
thf(f14669,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_134
| spl0_152 ),
inference(forward_subsumption_resolution,[],[f14667,f9243]) ).
thf(f14671,definition,
( spl0_277
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_277])],[avatar_definition]) ).
thf(f14672,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_277 ),
inference(avatar_component_clause,[],[f14671]) ).
thf(f14673,plain,
( spl0_190
| spl0_277
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f14668,f7941,f14671,f10326]) ).
thf(f14675,definition,
( spl0_278
<=> ! [X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_278])],[avatar_definition]) ).
thf(f14676,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_278 ),
inference(avatar_component_clause,[],[f14675]) ).
thf(f14677,plain,
( spl0_278
| spl0_189
| ~ spl0_134
| spl0_152 ),
inference(avatar_split_clause,[],[f14669,f8785,f7941,f10322,f14675]) ).
thf(f14679,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_278 ),
inference(constrained_superposition,[],[f14676,f263]) ).
thf(f14689,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_278 ),
inference(trivial_inequality_removal,[],[f14679]) ).
thf(f14693,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_277 ),
inference(constrained_superposition,[],[f14672,f263]) ).
thf(f14699,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f14693]) ).
thf(f14729,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f13396,f264]) ).
thf(f14730,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f13396,f91]) ).
thf(f14731,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f13396,f36]) ).
thf(f14734,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f14731]) ).
thf(f14736,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f14729]) ).
thf(f14738,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f14730]) ).
thf(f14740,definition,
( spl0_279
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_279])],[avatar_definition]) ).
thf(f14741,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl0_279 ),
inference(avatar_component_clause,[],[f14740]) ).
thf(f14742,plain,
( spl0_141
| ~ spl0_127
| spl0_279
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14738,f7931,f14740,f7887,f8556]) ).
thf(f14748,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_279 ),
inference(constrained_superposition,[],[f14741,f91]) ).
thf(f14756,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_279 ),
inference(duplicate_literal_removal,[],[f14748]) ).
thf(f14757,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_279 ),
inference(trivial_inequality_removal,[],[f14756]) ).
thf(f14758,plain,
( spl0_141
| spl0_123
| ~ spl0_279 ),
inference(avatar_split_clause,[],[f14757,f14740,f7864,f8556]) ).
thf(f14765,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f13767,f11425]) ).
thf(f14775,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f14765]) ).
thf(f14781,definition,
( spl0_280
<=> ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_280])],[avatar_definition]) ).
thf(f14782,plain,
( ! [X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_280 ),
inference(avatar_component_clause,[],[f14781]) ).
thf(f14783,plain,
( spl0_190
| spl0_280
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f14775,f11424,f14781,f10326]) ).
thf(f14885,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_145 ),
inference(constrained_superposition,[],[f13537,f233]) ).
thf(f14887,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_226 ),
inference(constrained_superposition,[],[f13728,f233]) ).
thf(f14890,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_18 ),
inference(constrained_superposition,[],[f28,f233]) ).
thf(f14892,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) ) )
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f14890]) ).
thf(f14894,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_145 ),
inference(trivial_inequality_removal,[],[f14885]) ).
thf(f14897,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f14887]) ).
thf(f15112,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_208
| ~ spl0_255 ),
inference(constrained_superposition,[],[f11425,f12418]) ).
thf(f15114,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_226
| ~ spl0_255 ),
inference(constrained_superposition,[],[f11925,f12418]) ).
thf(f15115,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_230
| ~ spl0_255 ),
inference(constrained_superposition,[],[f11940,f12418]) ).
thf(f15223,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_230
| ~ spl0_255 ),
inference(duplicate_literal_removal,[],[f15115]) ).
thf(f15225,definition,
( spl0_283
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_283])],[avatar_definition]) ).
thf(f15226,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_283 ),
inference(avatar_component_clause,[],[f15225]) ).
thf(f15228,definition,
( spl0_284
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_284])],[avatar_definition]) ).
thf(f15229,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_284 ),
inference(avatar_component_clause,[],[f15228]) ).
thf(f15234,definition,
( spl0_285
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_285])],[avatar_definition]) ).
thf(f15235,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_285 ),
inference(avatar_component_clause,[],[f15234]) ).
thf(f15238,definition,
( spl0_286
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_286])],[avatar_definition]) ).
thf(f15239,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_286 ),
inference(avatar_component_clause,[],[f15238]) ).
thf(f15242,definition,
( spl0_287
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_287])],[avatar_definition]) ).
thf(f15243,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_287 ),
inference(avatar_component_clause,[],[f15242]) ).
thf(f15244,plain,
( spl0_287
| spl0_283
| ~ spl0_208
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f15112,f12417,f11424,f15225,f15242]) ).
thf(f15269,definition,
( spl0_292
<=> ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_292])],[avatar_definition]) ).
thf(f15270,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_292 ),
inference(avatar_component_clause,[],[f15269]) ).
thf(f15278,definition,
( spl0_294
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_294])],[avatar_definition]) ).
thf(f15279,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_294 ),
inference(avatar_component_clause,[],[f15278]) ).
thf(f15282,definition,
( spl0_295
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_295])],[avatar_definition]) ).
thf(f15283,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_295 ),
inference(avatar_component_clause,[],[f15282]) ).
thf(f15286,definition,
( spl0_296
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_296])],[avatar_definition]) ).
thf(f15287,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_296 ),
inference(avatar_component_clause,[],[f15286]) ).
thf(f15294,definition,
( spl0_298
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_298])],[avatar_definition]) ).
thf(f15295,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_298 ),
inference(avatar_component_clause,[],[f15294]) ).
thf(f15298,definition,
( spl0_299
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_299])],[avatar_definition]) ).
thf(f15299,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_299 ),
inference(avatar_component_clause,[],[f15298]) ).
thf(f15300,plain,
( spl0_299
| spl0_283
| ~ spl0_226
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f15114,f12417,f11924,f15225,f15298]) ).
thf(f15304,definition,
( spl0_300
<=> ( $true
= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_300])],[avatar_definition]) ).
thf(f15305,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_300 ),
inference(avatar_component_clause,[],[f15304]) ).
thf(f15312,plain,
( spl0_283
| ~ spl0_230
| ~ spl0_255 ),
inference(avatar_split_clause,[],[f15223,f12417,f11939,f15225]) ).
thf(f15331,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_13
| spl0_152 ),
inference(constrained_superposition,[],[f9243,f173]) ).
thf(f15338,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_13
| spl0_152 ),
inference(trivial_inequality_removal,[],[f15331]) ).
thf(f15341,plain,
( spl0_141
| ~ spl0_13
| spl0_152 ),
inference(avatar_split_clause,[],[f15338,f8785,f172,f8556]) ).
thf(f15345,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f167,f30]) ).
thf(f15347,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f15345]) ).
thf(f15363,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z
= ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_265 ),
inference(constrained_superposition,[],[f13163,f10952]) ).
thf(f15368,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_265 ),
inference(duplicate_literal_removal,[],[f15363]) ).
thf(f15369,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z
= ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_265 ),
inference(trivial_inequality_removal,[],[f15368]) ).
thf(f15452,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f15347,f30]) ).
thf(f15453,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f15347,f37]) ).
thf(f15456,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f15453]) ).
thf(f15458,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f15452]) ).
thf(f15459,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f15458]) ).
thf(f15461,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f15456,f26]) ).
thf(f15462,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f15459,f36]) ).
thf(f15463,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f15459,f30]) ).
thf(f15464,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f15463]) ).
thf(f15465,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f15462]) ).
thf(f15847,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X0 ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f28,f15464]) ).
thf(f15849,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| spl0_152 ),
inference(constrained_superposition,[],[f9243,f15464]) ).
thf(f15854,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( ( r @ ( s @ z ) @ X0 )
= $true )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f15847]) ).
thf(f15855,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_11
| spl0_152 ),
inference(trivial_inequality_removal,[],[f15849]) ).
thf(f15857,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f15854,f28]) ).
thf(f15896,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_36
| ~ spl0_53 ),
inference(constrained_superposition,[],[f6464,f456]) ).
thf(f15901,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_36
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f15896]) ).
thf(f15905,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) ) )
| spl0_34
| ~ spl0_36
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f15901,f6434]) ).
thf(f15908,plain,
( ! [X0: $i] :
( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| spl0_34
| ~ spl0_36
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f15905,f725]) ).
thf(f15910,plain,
( spl0_86
| spl0_34
| ~ spl0_36
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f15908,f724,f455,f427,f3071]) ).
thf(f15912,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_86 ),
inference(constrained_superposition,[],[f28,f3072]) ).
thf(f15914,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f15912]) ).
thf(f16466,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_53
| ~ spl0_198 ),
inference(constrained_superposition,[],[f11124,f725]) ).
thf(f16479,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ X0 ) ) )
| ( $true != $true ) )
| ~ spl0_53
| ~ spl0_198 ),
inference(duplicate_literal_removal,[],[f16466]) ).
thf(f16480,plain,
( ! [X0: $i] :
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_53
| ~ spl0_198 ),
inference(trivial_inequality_removal,[],[f16479]) ).
thf(f16490,plain,
( spl0_255
| ~ spl0_53
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f16480,f11123,f724,f12417]) ).
thf(f16580,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_160 ),
inference(constrained_superposition,[],[f28,f9001]) ).
thf(f16584,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_160 ),
inference(trivial_inequality_removal,[],[f16580]) ).
thf(f16634,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f15461,f36]) ).
thf(f16636,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f16634]) ).
thf(f16654,plain,
( ! [X0: $i,X1: $i] :
( ( z = X0 )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_11 ),
inference(constrained_superposition,[],[f28,f16636]) ).
thf(f16662,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f16654]) ).
thf(f16676,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ z ) ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f16662,f28]) ).
thf(f16681,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_11
| ~ spl0_30 ),
inference(constrained_superposition,[],[f16676,f362]) ).
thf(f16696,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_11
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f16681]) ).
thf(f16702,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_30
| ~ spl0_171 ),
inference(constrained_superposition,[],[f16696,f9143]) ).
thf(f16714,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_11
| ~ spl0_30
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f16702]) ).
thf(f16843,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_171
| ~ spl0_196 ),
inference(constrained_superposition,[],[f11116,f9143]) ).
thf(f16854,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_171
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f16843]) ).
thf(f17145,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z = X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( z
= ( s @ X1 ) )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true ) )
| ~ spl0_1
| ~ spl0_194 ),
inference(constrained_superposition,[],[f11108,f10952]) ).
thf(f17156,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( z
= ( s @ X1 ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z = X1 )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_194 ),
inference(duplicate_literal_removal,[],[f17145]) ).
thf(f17157,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( z
= ( s @ X1 ) )
| ( z = X1 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f17156]) ).
thf(f17160,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ X1 ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( z = X1 ) )
| ~ spl0_1
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f17157,f32]) ).
thf(f17185,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_137
| ~ spl0_244 ),
inference(forward_subsumption_resolution,[],[f12151,f9495]) ).
thf(f17186,plain,
( spl0_200
| ~ spl0_137
| ~ spl0_244 ),
inference(avatar_split_clause,[],[f17185,f12150,f7981,f11132]) ).
thf(f17231,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_11
| ~ spl0_135 ),
inference(constrained_superposition,[],[f13200,f15465]) ).
thf(f17252,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_11
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f17231]) ).
thf(f18521,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| spl0_33 ),
inference(extensionality_resolution,[],[f6340,f4312]) ).
thf(f18522,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_140 ),
inference(extensionality_resolution,[],[f6340,f11364]) ).
thf(f18528,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f6340,f35]) ).
thf(f18531,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ z @ ( s @ X0 ) ) )
| ( X0 = X1 )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f18528]) ).
thf(f18536,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_1
| spl0_140 ),
inference(extensionality_resolution,[],[f18531,f11364]) ).
thf(f18541,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( X0 = X1 )
| ( $true != $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f18531,f36]) ).
thf(f18544,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X1 ) @ ( s @ X0 ) ) )
| ( X0 = X1 )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f18541]) ).
thf(f18546,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_33 ),
inference(extensionality_resolution,[],[f18544,f4312]) ).
thf(f18560,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X1 )
= ( s @ z ) )
| ( $true != $true )
| ( z
= ( s @ X1 ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ ( s @ X1 ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_196 ),
inference(constrained_superposition,[],[f11116,f18544]) ).
thf(f18588,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_30 ),
inference(constrained_superposition,[],[f9060,f18544]) ).
thf(f18625,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( X0 = X1 )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( z
= ( s @ X1 ) ) )
| ~ spl0_1
| ~ spl0_196 ),
inference(duplicate_literal_removal,[],[f18560]) ).
thf(f18626,plain,
( ! [X0: $i,X1: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( z
= ( s @ X1 ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( X0 = X1 ) )
| ~ spl0_1
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f18625]) ).
thf(f18665,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f18588]) ).
thf(f18701,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ X1 ) @ z )
= $true )
| ( ( s @ X1 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ z @ ( s @ X1 ) )
= $true )
| ( X0 = X1 ) )
| ~ spl0_1
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f18626,f32]) ).
thf(f18707,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_1
| spl0_20
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f18665,f3170]) ).
thf(f18718,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) )
| ~ spl0_1
| spl0_20
| ~ spl0_30
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f18707,f6434]) ).
thf(f18731,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true ) )
| ~ spl0_1
| spl0_20
| ~ spl0_30
| spl0_34
| ~ spl0_53 ),
inference(constrained_superposition,[],[f18718,f725]) ).
thf(f18749,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_1
| spl0_20
| ~ spl0_30
| spl0_34
| ~ spl0_53 ),
inference(duplicate_literal_removal,[],[f18731]) ).
thf(f18750,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_1
| spl0_20
| ~ spl0_30
| spl0_34
| ~ spl0_53 ),
inference(trivial_inequality_removal,[],[f18749]) ).
thf(f18757,plain,
( spl0_70
| ~ spl0_1
| spl0_20
| ~ spl0_30
| spl0_34
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f18750,f724,f427,f361,f326,f50,f1814]) ).
thf(f19605,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( s @ z )
= ( s @ X2 ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ X2 ) )
| ( z = X0 ) )
| ~ spl0_1
| ~ spl0_194 ),
inference(constrained_superposition,[],[f28,f17160]) ).
thf(f19609,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( s @ X0 )
= ( s @ X2 ) )
| ( ( s @ z )
= ( s @ X2 ) )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) ) )
| ~ spl0_1
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f19605]) ).
thf(f19610,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ z ) )
| ( ( s @ X0 )
= ( s @ X2 ) )
| ( ( s @ z )
= ( s @ X2 ) ) )
| ~ spl0_1
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f19609,f28]) ).
thf(f19694,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ z )
= X0 )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_1
| spl0_34
| ~ spl0_196 ),
inference(constrained_superposition,[],[f6434,f18701]) ).
thf(f19696,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( X0 = X2 )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= ( s @ X2 ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_1
| ~ spl0_196 ),
inference(constrained_superposition,[],[f28,f18701]) ).
thf(f19700,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ X0 ) ) )
| ( ( s @ z )
= ( s @ X2 ) )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( X0 = X2 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f19696]) ).
thf(f19701,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_1
| spl0_34
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f19694]) ).
thf(f19702,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ X0 ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( X0 = X2 )
| ( ( s @ z )
= ( s @ X2 ) )
| ( $true
= ( r @ ( s @ X2 ) @ z ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_1
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f19700,f28]) ).
thf(f19726,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_1
| ~ spl0_145
| ~ spl0_196 ),
inference(constrained_superposition,[],[f19702,f8760]) ).
thf(f19761,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_145
| ~ spl0_196 ),
inference(trivial_inequality_removal,[],[f19726]) ).
thf(f20045,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_33 ),
inference(extensionality_resolution,[],[f265,f4312]) ).
thf(f20046,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_33 ),
inference(extensionality_resolution,[],[f265,f4312]) ).
thf(f20047,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_140 ),
inference(extensionality_resolution,[],[f265,f11364]) ).
thf(f20048,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_140 ),
inference(extensionality_resolution,[],[f265,f11364]) ).
thf(f20138,definition,
( spl0_313
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_313])],[avatar_definition]) ).
thf(f20139,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_313 ),
inference(avatar_component_clause,[],[f20138]) ).
thf(f20141,definition,
( spl0_314
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_314])],[avatar_definition]) ).
thf(f20142,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_314 ),
inference(avatar_component_clause,[],[f20141]) ).
thf(f20143,plain,
( spl0_313
| spl0_314
| spl0_33 ),
inference(avatar_split_clause,[],[f20046,f393,f20141,f20138]) ).
thf(f20145,definition,
( spl0_315
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_315])],[avatar_definition]) ).
thf(f20146,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_315 ),
inference(avatar_component_clause,[],[f20145]) ).
thf(f20148,definition,
( spl0_316
<=> ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_316])],[avatar_definition]) ).
thf(f20149,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_316 ),
inference(avatar_component_clause,[],[f20148]) ).
thf(f20150,plain,
( spl0_315
| spl0_316
| spl0_140 ),
inference(avatar_split_clause,[],[f20047,f8553,f20148,f20145]) ).
thf(f20152,definition,
( spl0_317
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_317])],[avatar_definition]) ).
thf(f20153,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_317 ),
inference(avatar_component_clause,[],[f20152]) ).
thf(f20155,definition,
( spl0_318
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_318])],[avatar_definition]) ).
thf(f20156,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_318 ),
inference(avatar_component_clause,[],[f20155]) ).
thf(f20157,plain,
( spl0_317
| spl0_318
| spl0_33 ),
inference(avatar_split_clause,[],[f20045,f393,f20155,f20152]) ).
thf(f20159,definition,
( spl0_319
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_319])],[avatar_definition]) ).
thf(f20160,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_319 ),
inference(avatar_component_clause,[],[f20159]) ).
thf(f20162,definition,
( spl0_320
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_320])],[avatar_definition]) ).
thf(f20163,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true )
| ~ spl0_320 ),
inference(avatar_component_clause,[],[f20162]) ).
thf(f20164,plain,
( spl0_319
| spl0_320
| spl0_140 ),
inference(avatar_split_clause,[],[f20048,f8553,f20162,f20159]) ).
thf(f20186,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_145
| ~ spl0_313 ),
inference(constrained_superposition,[],[f13537,f20139]) ).
thf(f20190,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_86
| ~ spl0_313 ),
inference(constrained_superposition,[],[f15914,f20139]) ).
thf(f20217,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_86
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f20190]) ).
thf(f20248,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_145
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f20186]) ).
thf(f20272,plain,
( $false
| ~ spl0_86
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f20217,f3072]) ).
thf(f20273,plain,
( ~ spl0_86
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f20272]) ).
thf(f20285,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_299 ),
inference(avatar_component_clause,[],[f15298]) ).
thf(f20290,plain,
( ~ spl0_299
| ~ spl0_145
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f20248,f20138,f8759,f15298]) ).
thf(f20350,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_7
| ~ spl0_314 ),
inference(constrained_superposition,[],[f136,f20142]) ).
thf(f20356,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_154
| ~ spl0_314 ),
inference(constrained_superposition,[],[f8793,f20142]) ).
thf(f20357,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_267
| ~ spl0_314 ),
inference(constrained_superposition,[],[f13433,f20142]) ).
thf(f20363,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_314 ),
inference(constrained_superposition,[],[f215,f20142]) ).
thf(f20370,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f20350]) ).
thf(f20371,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_267
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f20357]) ).
thf(f20373,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f20363]) ).
thf(f20380,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_154
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f20356]) ).
thf(f20390,plain,
( ~ spl0_260
| spl0_221
| ~ spl0_155
| ~ spl0_7
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f20370,f20141,f135,f8797,f11674,f13018]) ).
thf(f20392,definition,
( spl0_323
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_323])],[avatar_definition]) ).
thf(f20393,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| spl0_323 ),
inference(avatar_component_clause,[],[f20392]) ).
thf(f20395,definition,
( spl0_324
<=> ( $true
= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_324])],[avatar_definition]) ).
thf(f20396,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_324 ),
inference(avatar_component_clause,[],[f20395]) ).
thf(f20397,plain,
( ~ spl0_323
| ~ spl0_324
| ~ spl0_267
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f20371,f20141,f13432,f20395,f20392]) ).
thf(f20398,plain,
( ~ spl0_324
| spl0_141
| spl0_286
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f20373,f20141,f15238,f8556,f20395]) ).
thf(f20400,definition,
( spl0_325
<=> ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_325])],[avatar_definition]) ).
thf(f20401,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_325 ),
inference(avatar_component_clause,[],[f20400]) ).
thf(f20405,definition,
( spl0_326
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_326])],[avatar_definition]) ).
thf(f20406,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_326 ),
inference(avatar_component_clause,[],[f20405]) ).
thf(f20409,definition,
( spl0_327
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_327])],[avatar_definition]) ).
thf(f20410,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_327 ),
inference(avatar_component_clause,[],[f20409]) ).
thf(f20411,plain,
( spl0_327
| ~ spl0_324
| ~ spl0_154
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f20380,f20141,f8792,f20395,f20409]) ).
thf(f20413,definition,
( spl0_328
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_328])],[avatar_definition]) ).
thf(f20414,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_328 ),
inference(avatar_component_clause,[],[f20413]) ).
thf(f20417,definition,
( spl0_329
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_329])],[avatar_definition]) ).
thf(f20418,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_329 ),
inference(avatar_component_clause,[],[f20417]) ).
thf(f20419,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| spl0_292 ),
inference(avatar_component_clause,[],[f15269]) ).
thf(f20426,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_300 ),
inference(constrained_superposition,[],[f15305,f36]) ).
thf(f20428,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_300 ),
inference(trivial_inequality_removal,[],[f20426]) ).
thf(f20437,definition,
( spl0_331
<=> ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_331])],[avatar_definition]) ).
thf(f20438,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ~ spl0_331 ),
inference(avatar_component_clause,[],[f20437]) ).
thf(f20467,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_331 ),
inference(constrained_superposition,[],[f28,f20438]) ).
thf(f20490,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f20467]) ).
thf(f20495,plain,
( spl0_219
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f20490,f20437,f11665]) ).
thf(f20499,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_323 ),
inference(constrained_superposition,[],[f20393,f30]) ).
thf(f20500,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_323 ),
inference(trivial_inequality_removal,[],[f20499]) ).
thf(f20503,plain,
( spl0_222
| spl0_221
| spl0_323 ),
inference(avatar_split_clause,[],[f20500,f20392,f11674,f11681]) ).
thf(f20515,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ z @ X0 ) )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( z = X0 ) )
| ~ spl0_11
| ~ spl0_221 ),
inference(constrained_superposition,[],[f15857,f11675]) ).
thf(f20522,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_221 ),
inference(constrained_superposition,[],[f28,f11675]) ).
thf(f20534,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f20522]) ).
thf(f20535,plain,
( ! [X0: $i] :
( ( ( s @ z )
= X0 )
| ( z = X0 )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_11
| ~ spl0_221 ),
inference(trivial_inequality_removal,[],[f20515]) ).
thf(f20541,plain,
( spl0_219
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f20534,f11674,f11665]) ).
thf(f20542,plain,
( spl0_217
| ~ spl0_11
| ~ spl0_221 ),
inference(avatar_split_clause,[],[f20535,f11674,f166,f11657]) ).
thf(f20556,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| ~ spl0_299 ),
inference(constrained_superposition,[],[f14892,f15299]) ).
thf(f20570,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_299 ),
inference(constrained_superposition,[],[f28,f15299]) ).
thf(f20572,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_18
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f20556]) ).
thf(f20586,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f20570]) ).
thf(f20599,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_18
| spl0_20
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f20572,f3170]) ).
thf(f20600,plain,
( spl0_285
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f20586,f15298,f15234]) ).
thf(f20604,plain,
( $false
| ~ spl0_18
| spl0_20
| ~ spl0_221
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f20599,f11675]) ).
thf(f20605,plain,
( ~ spl0_18
| spl0_20
| ~ spl0_221
| ~ spl0_299 ),
inference(avatar_contradiction_clause,[],[f20604]) ).
thf(f20615,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_299 ),
inference(constrained_superposition,[],[f20285,f18544]) ).
thf(f20618,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_1
| spl0_299 ),
inference(trivial_inequality_removal,[],[f20615]) ).
thf(f20626,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_292 ),
inference(constrained_superposition,[],[f20419,f265]) ).
thf(f20627,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_292 ),
inference(constrained_superposition,[],[f20419,f88]) ).
thf(f20630,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_292 ),
inference(trivial_inequality_removal,[],[f20626]) ).
thf(f20631,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_292 ),
inference(trivial_inequality_removal,[],[f20627]) ).
thf(f20634,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_292 ),
inference(forward_subsumption_resolution,[],[f20630,f32]) ).
thf(f20636,definition,
( spl0_332
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_332])],[avatar_definition]) ).
thf(f20637,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_332 ),
inference(avatar_component_clause,[],[f20636]) ).
thf(f20638,plain,
( spl0_332
| spl0_138
| spl0_292 ),
inference(avatar_split_clause,[],[f20631,f15269,f7984,f20636]) ).
thf(f20644,plain,
( spl0_332
| spl0_292 ),
inference(avatar_split_clause,[],[f20634,f15269,f20636]) ).
thf(f20669,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_160
| ~ spl0_332 ),
inference(constrained_superposition,[],[f16584,f20637]) ).
thf(f20671,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_86
| ~ spl0_332 ),
inference(constrained_superposition,[],[f15914,f20637]) ).
thf(f20701,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_160
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f20669]) ).
thf(f20702,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_86
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f20671]) ).
thf(f20749,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_149 ),
inference(avatar_component_clause,[],[f8773]) ).
thf(f20750,plain,
( ~ spl0_149
| spl0_331
| ~ spl0_160
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f20701,f20636,f9000,f20437,f8773]) ).
thf(f20751,plain,
( $false
| ~ spl0_86
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f20702,f3072]) ).
thf(f20752,plain,
( ~ spl0_86
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f20751]) ).
thf(f20780,definition,
( spl0_334
<=> ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_334])],[avatar_definition]) ).
thf(f20781,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_334 ),
inference(avatar_component_clause,[],[f20780]) ).
thf(f20844,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_47
| ~ spl0_292 ),
inference(constrained_superposition,[],[f663,f15270]) ).
thf(f20852,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_19
| ~ spl0_292 ),
inference(constrained_superposition,[],[f324,f15270]) ).
thf(f20875,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_47
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f20844]) ).
thf(f20877,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_19
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f20852]) ).
thf(f20881,definition,
( spl0_338
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_338])],[avatar_definition]) ).
thf(f20882,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_338 ),
inference(avatar_component_clause,[],[f20881]) ).
thf(f20887,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_47
| spl0_149
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f20875,f20749]) ).
thf(f20889,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_19
| ~ spl0_292
| spl0_299 ),
inference(forward_subsumption_resolution,[],[f20877,f20285]) ).
thf(f20891,definition,
( spl0_339
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_339])],[avatar_definition]) ).
thf(f20892,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| spl0_339 ),
inference(avatar_component_clause,[],[f20891]) ).
thf(f20895,definition,
( spl0_340
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_340])],[avatar_definition]) ).
thf(f20896,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_340 ),
inference(avatar_component_clause,[],[f20895]) ).
thf(f20897,plain,
( ~ spl0_340
| ~ spl0_296
| ~ spl0_47
| spl0_149
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f20887,f15269,f8773,f662,f15286,f20895]) ).
thf(f20899,definition,
( spl0_341
<=> ! [X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_341])],[avatar_definition]) ).
thf(f20900,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_341 ),
inference(avatar_component_clause,[],[f20899]) ).
thf(f20902,plain,
( ~ spl0_125
| spl0_144
| ~ spl0_19
| ~ spl0_292
| spl0_299 ),
inference(avatar_split_clause,[],[f20889,f15298,f15269,f323,f8756,f7878]) ).
thf(f20956,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_298 ),
inference(constrained_superposition,[],[f28,f15295]) ).
thf(f20988,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f20956]) ).
thf(f20998,plain,
( spl0_285
| ~ spl0_298 ),
inference(avatar_split_clause,[],[f20988,f15294,f15234]) ).
thf(f20999,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_277
| ~ spl0_317 ),
inference(constrained_superposition,[],[f14672,f20153]) ).
thf(f21002,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_148
| ~ spl0_317 ),
inference(constrained_superposition,[],[f8771,f20153]) ).
thf(f21008,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_15
| ~ spl0_317 ),
inference(constrained_superposition,[],[f180,f20153]) ).
thf(f21034,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_277
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f20999]) ).
thf(f21044,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_148
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f21002]) ).
thf(f21045,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_15
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f21008]) ).
thf(f21056,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_277
| ~ spl0_292
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f21034,f15270]) ).
thf(f21058,definition,
( spl0_344
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_344])],[avatar_definition]) ).
thf(f21059,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_344 ),
inference(avatar_component_clause,[],[f21058]) ).
thf(f21061,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_287 ),
inference(avatar_component_clause,[],[f15242]) ).
thf(f21063,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_148
| ~ spl0_292
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f21044,f15270]) ).
thf(f21064,plain,
( spl0_141
| spl0_159
| ~ spl0_324
| ~ spl0_339
| ~ spl0_15
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f21045,f20152,f179,f20891,f20395,f8811,f8556]) ).
thf(f21066,definition,
( spl0_345
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_345])],[avatar_definition]) ).
thf(f21067,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_345 ),
inference(avatar_component_clause,[],[f21066]) ).
thf(f21069,plain,
( ~ spl0_287
| ~ spl0_277
| ~ spl0_292
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f21056,f20152,f15269,f14671,f15242]) ).
thf(f21070,plain,
( ~ spl0_340
| ~ spl0_148
| ~ spl0_292
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f21063,f20152,f15269,f8770,f20895]) ).
thf(f21096,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_86
| ~ spl0_318 ),
inference(constrained_superposition,[],[f15914,f20156]) ).
thf(f21143,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_86
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f21096]) ).
thf(f21185,plain,
( $false
| ~ spl0_86
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f21143,f3072]) ).
thf(f21186,plain,
( ~ spl0_86
| ~ spl0_318 ),
inference(avatar_contradiction_clause,[],[f21185]) ).
thf(f21239,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_339 ),
inference(constrained_superposition,[],[f20892,f35]) ).
thf(f21241,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| spl0_339 ),
inference(trivial_inequality_removal,[],[f21239]) ).
thf(f21316,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| spl0_340 ),
inference(constrained_superposition,[],[f20896,f88]) ).
thf(f21321,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_340 ),
inference(trivial_inequality_removal,[],[f21316]) ).
thf(f21325,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| spl0_299
| spl0_340 ),
inference(forward_subsumption_resolution,[],[f21321,f20285]) ).
thf(f21331,plain,
( $false
| spl0_299
| spl0_340 ),
inference(forward_subsumption_resolution,[],[f21325,f32]) ).
thf(f21332,plain,
( spl0_299
| spl0_340 ),
inference(avatar_contradiction_clause,[],[f21331]) ).
thf(f21334,plain,
( ~ spl0_20
| ~ spl0_226
| ~ spl0_254 ),
inference(avatar_split_clause,[],[f13945,f12375,f11924,f326]) ).
thf(f21352,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| spl0_33
| spl0_34
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f19701,f4312]) ).
thf(f21368,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_135
| ~ spl0_145
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f19761,f7958]) ).
thf(f21375,plain,
( ~ spl0_20
| ~ spl0_142
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f13648,f8759,f8559,f326]) ).
thf(f21388,plain,
( spl0_283
| spl0_339 ),
inference(avatar_split_clause,[],[f21241,f20891,f15225]) ).
thf(f21394,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_34
| spl0_140 ),
inference(forward_subsumption_resolution,[],[f18536,f6434]) ).
thf(f21396,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_1
| spl0_140
| spl0_299 ),
inference(forward_subsumption_resolution,[],[f18522,f20285]) ).
thf(f21425,definition,
( spl0_355
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl0_355])],[avatar_definition]) ).
thf(f21426,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_355 ),
inference(avatar_component_clause,[],[f21425]) ).
thf(f21427,plain,
( spl0_20
| spl0_355
| ~ spl0_1
| spl0_33
| spl0_34
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f21352,f11115,f427,f393,f50,f21425,f326]) ).
thf(f21441,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 ) )
| ~ spl0_1
| spl0_33
| ~ spl0_135
| ~ spl0_145
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f21368,f4312]) ).
thf(f21450,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_1
| spl0_34
| spl0_140
| spl0_299 ),
inference(forward_subsumption_resolution,[],[f21394,f20285]) ).
thf(f21452,plain,
( ~ spl0_35
| ~ spl0_37
| spl0_283
| ~ spl0_1
| spl0_140
| spl0_299 ),
inference(avatar_split_clause,[],[f21396,f15298,f8553,f50,f15225,f458,f452]) ).
thf(f21469,plain,
( spl0_355
| ~ spl0_1
| spl0_33
| ~ spl0_135
| ~ spl0_145
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f21441,f11115,f8759,f7957,f393,f50,f21425]) ).
thf(f21473,plain,
( ~ spl0_35
| spl0_283
| ~ spl0_1
| spl0_34
| spl0_140
| spl0_299 ),
inference(avatar_split_clause,[],[f21450,f15298,f8553,f427,f50,f15225,f452]) ).
thf(f21499,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_21
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f14897,f331]) ).
thf(f21512,plain,
( spl0_254
| spl0_231 ),
inference(avatar_split_clause,[],[f13938,f11945,f12375]) ).
thf(f21513,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_11
| ~ spl0_30
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[],[f16714,f32]) ).
thf(f21524,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_18
| ~ spl0_21
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f14894,f331]) ).
thf(f21527,plain,
( spl0_213
| spl0_300 ),
inference(avatar_split_clause,[],[f20428,f15304,f11638]) ).
thf(f21545,plain,
( ~ spl0_151
| ~ spl0_155
| ~ spl0_134
| ~ spl0_275 ),
inference(avatar_split_clause,[],[f14346,f14330,f7941,f8797,f8782]) ).
thf(f21554,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| spl0_140
| ~ spl0_171
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f16854,f11364]) ).
thf(f21560,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_19
| ~ spl0_134
| spl0_149 ),
inference(forward_subsumption_resolution,[],[f14602,f20749]) ).
thf(f21566,plain,
( spl0_254
| ~ spl0_18
| ~ spl0_21
| ~ spl0_226 ),
inference(avatar_split_clause,[],[f21499,f11924,f330,f232,f12375]) ).
thf(f21572,plain,
( spl0_142
| ~ spl0_11
| ~ spl0_30
| ~ spl0_171 ),
inference(avatar_split_clause,[],[f21513,f9142,f361,f166,f8559]) ).
thf(f21582,plain,
( spl0_142
| ~ spl0_18
| ~ spl0_21
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f21524,f8759,f330,f232,f8559]) ).
thf(f21606,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_33
| spl0_140
| ~ spl0_171
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f21554,f4312]) ).
thf(f21611,plain,
( ~ spl0_151
| spl0_179
| ~ spl0_19
| ~ spl0_134
| spl0_149 ),
inference(avatar_split_clause,[],[f21560,f8773,f7941,f323,f9535,f8782]) ).
thf(f21640,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_33
| spl0_34
| spl0_140
| ~ spl0_171
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f21606,f6434]) ).
thf(f21659,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_33
| spl0_34
| spl0_140
| ~ spl0_171
| ~ spl0_196 ),
inference(forward_subsumption_resolution,[],[f21640,f32]) ).
thf(f21669,plain,
( spl0_142
| spl0_33
| spl0_34
| spl0_140
| ~ spl0_171
| ~ spl0_196 ),
inference(avatar_split_clause,[],[f21659,f11115,f9142,f8553,f427,f393,f8559]) ).
thf(f21676,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| spl0_14 ),
inference(avatar_component_clause,[],[f176]) ).
thf(f21680,definition,
( spl0_363
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_363])],[avatar_definition]) ).
thf(f21681,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_363 ),
inference(avatar_component_clause,[],[f21680]) ).
thf(f21683,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true ) )
| ~ spl0_1
| spl0_4
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f15369,f3069]) ).
thf(f21691,definition,
( spl0_365
<=> ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_365])],[avatar_definition]) ).
thf(f21692,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_365 ),
inference(avatar_component_clause,[],[f21691]) ).
thf(f21707,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_41
| ~ spl0_131
| spl0_152 ),
inference(forward_subsumption_resolution,[],[f14283,f9243]) ).
thf(f21737,definition,
( spl0_372
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_372])],[avatar_definition]) ).
thf(f21738,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_372 ),
inference(avatar_component_clause,[],[f21737]) ).
thf(f21739,plain,
( spl0_372
| spl0_142
| ~ spl0_153
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14734,f7931,f8788,f8559,f21737]) ).
thf(f21757,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_33
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f18546,f6434]) ).
thf(f21785,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_1
| spl0_33
| spl0_149 ),
inference(forward_subsumption_resolution,[],[f18521,f20749]) ).
thf(f21791,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| spl0_4
| ~ spl0_265 ),
inference(forward_subsumption_resolution,[],[f21683,f32]) ).
thf(f21803,plain,
( ~ spl0_153
| ~ spl0_125
| ~ spl0_151
| ~ spl0_41
| ~ spl0_131
| spl0_152 ),
inference(avatar_split_clause,[],[f21707,f8785,f7931,f576,f8782,f7878,f8788]) ).
thf(f21819,definition,
( spl0_385
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_385])],[avatar_definition]) ).
thf(f21820,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_385 ),
inference(avatar_component_clause,[],[f21819]) ).
thf(f21836,definition,
( spl0_386
<=> ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_386])],[avatar_definition]) ).
thf(f21837,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_386 ),
inference(avatar_component_clause,[],[f21836]) ).
thf(f21846,plain,
( ~ spl0_35
| ~ spl0_37
| spl0_137
| ~ spl0_1
| spl0_33
| spl0_149 ),
inference(avatar_split_clause,[],[f21785,f8773,f393,f50,f7981,f458,f452]) ).
thf(f21848,plain,
( spl0_14
| spl0_385
| ~ spl0_1
| spl0_4
| ~ spl0_265 ),
inference(avatar_split_clause,[],[f21791,f13162,f108,f50,f21819,f176]) ).
thf(f21861,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_11
| ~ spl0_135
| spl0_152 ),
inference(forward_subsumption_resolution,[],[f17252,f9243]) ).
thf(f21871,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_19
| spl0_149
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f14606,f20749]) ).
thf(f21876,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_11
| spl0_140
| spl0_152 ),
inference(forward_subsumption_resolution,[],[f15855,f11364]) ).
thf(f21878,definition,
( spl0_387
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_387])],[avatar_definition]) ).
thf(f21879,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_387 ),
inference(avatar_component_clause,[],[f21878]) ).
thf(f21880,plain,
( ~ spl0_178
| spl0_387
| spl0_171
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14736,f7931,f9142,f21878,f9475]) ).
thf(f21889,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_1
| spl0_140
| spl0_299 ),
inference(forward_subsumption_resolution,[],[f20618,f11364]) ).
thf(f21907,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_11
| ~ spl0_135
| spl0_140
| spl0_152 ),
inference(forward_subsumption_resolution,[],[f21861,f11364]) ).
thf(f21914,plain,
( spl0_232
| ~ spl0_231
| ~ spl0_19
| spl0_149
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f21871,f11424,f8773,f323,f11945,f11948]) ).
thf(f21917,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_11
| spl0_140
| spl0_152 ),
inference(forward_subsumption_resolution,[],[f21876,f32]) ).
thf(f21927,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_1
| spl0_34
| spl0_140
| spl0_299 ),
inference(forward_subsumption_resolution,[],[f21889,f6434]) ).
thf(f21939,plain,
( ~ spl0_14
| spl0_142
| ~ spl0_11
| ~ spl0_135
| spl0_140
| spl0_152 ),
inference(avatar_split_clause,[],[f21907,f8785,f8553,f7957,f166,f8559,f176]) ).
thf(f21947,plain,
( spl0_141
| spl0_142
| ~ spl0_11
| spl0_140
| spl0_152 ),
inference(avatar_split_clause,[],[f21917,f8785,f8553,f166,f8559,f8556]) ).
thf(f21951,plain,
( spl0_20
| spl0_283
| ~ spl0_1
| spl0_34
| spl0_140
| spl0_299 ),
inference(avatar_split_clause,[],[f21927,f15298,f8553,f427,f50,f15225,f326]) ).
thf(f21993,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_20 ),
inference(constrained_superposition,[],[f28,f327]) ).
thf(f21997,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f21993]) ).
thf(f22020,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_136 ),
inference(constrained_superposition,[],[f28,f7979]) ).
thf(f22022,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f22020]) ).
thf(f22073,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_222 ),
inference(constrained_superposition,[],[f264,f11682]) ).
thf(f22214,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f22073,f27]) ).
thf(f22249,definition,
( spl0_397
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_397])],[avatar_definition]) ).
thf(f22250,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_397 ),
inference(avatar_component_clause,[],[f22249]) ).
thf(f22271,plain,
( $false
| ~ spl0_222 ),
inference(forward_subsumption_resolution,[],[f22214,f31]) ).
thf(f22272,plain,
~ spl0_222,
inference(avatar_contradiction_clause,[],[f22271]) ).
thf(f22325,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_334 ),
inference(constrained_superposition,[],[f263,f20781]) ).
thf(f22477,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f22325,f31]) ).
thf(f22481,definition,
( spl0_399
<=> ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_399])],[avatar_definition]) ).
thf(f22482,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_399 ),
inference(avatar_component_clause,[],[f22481]) ).
thf(f22495,plain,
( $false
| ~ spl0_334 ),
inference(forward_subsumption_resolution,[],[f22477,f27]) ).
thf(f22496,plain,
~ spl0_334,
inference(avatar_contradiction_clause,[],[f22495]) ).
thf(f22528,plain,
( spl0_399
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f21997,f326,f22481]) ).
thf(f22529,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_145
| ~ spl0_399 ),
inference(constrained_superposition,[],[f22482,f8760]) ).
thf(f22530,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_226
| ~ spl0_399 ),
inference(constrained_superposition,[],[f22482,f11925]) ).
thf(f22534,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_145
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f22529]) ).
thf(f22536,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_226
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f22530]) ).
thf(f22537,plain,
( $false
| ~ spl0_135
| ~ spl0_145
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f22534,f7958]) ).
thf(f22538,plain,
( ~ spl0_135
| ~ spl0_145
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f22537]) ).
thf(f22539,plain,
( $false
| ~ spl0_226
| ~ spl0_230
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f22536,f11940]) ).
thf(f22540,plain,
( ~ spl0_226
| ~ spl0_230
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f22539]) ).
thf(f22544,plain,
( ~ spl0_169
| ~ spl0_27
| spl0_145
| ~ spl0_278 ),
inference(avatar_split_clause,[],[f14689,f14675,f8759,f351,f9136]) ).
thf(f22545,plain,
( ~ spl0_169
| ~ spl0_178
| spl0_145
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f14699,f14671,f8759,f9475,f9136]) ).
thf(f22618,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_133
| ~ spl0_136 ),
inference(constrained_superposition,[],[f22022,f7939]) ).
thf(f22624,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( z
= ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| ~ spl0_133
| ~ spl0_194 ),
inference(constrained_superposition,[],[f19610,f7939]) ).
thf(f22631,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_133
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f22624]) ).
thf(f22638,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_133
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f22618]) ).
thf(f22642,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_133
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f22631,f32]) ).
thf(f22644,plain,
( $false
| ~ spl0_133
| ~ spl0_135
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f22638,f7958]) ).
thf(f22645,plain,
( ~ spl0_133
| ~ spl0_135
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f22644]) ).
thf(f22648,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| ~ spl0_133
| ~ spl0_135
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f22642,f7958]) ).
thf(f22652,plain,
( spl0_386
| ~ spl0_1
| ~ spl0_133
| ~ spl0_135
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f22648,f11107,f7957,f7938,f50,f21836]) ).
thf(f22660,plain,
( ~ spl0_153
| spl0_230
| ~ spl0_35
| ~ spl0_235 ),
inference(avatar_split_clause,[],[f14263,f11960,f452,f11939,f8788]) ).
thf(f22663,plain,
( spl0_137
| spl0_20
| spl0_149
| ~ spl0_1
| spl0_33
| spl0_34 ),
inference(avatar_split_clause,[],[f21757,f427,f393,f50,f8773,f326,f7981]) ).
thf(f22664,plain,
( spl0_144
| ~ spl0_125
| spl0_145
| ~ spl0_19
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f14612,f7931,f323,f8759,f7878,f8756]) ).
thf(f22666,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_4 ),
inference(constrained_superposition,[],[f28,f109]) ).
thf(f22667,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f22666]) ).
thf(f22668,plain,
( spl0_397
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f22667,f108,f22249]) ).
thf(f22695,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_39
| spl0_126 ),
inference(constrained_superposition,[],[f7901,f1258]) ).
thf(f22697,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_126 ),
inference(constrained_superposition,[],[f7901,f18544]) ).
thf(f22699,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_1
| spl0_126 ),
inference(trivial_inequality_removal,[],[f22697]) ).
thf(f22704,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_39
| spl0_126 ),
inference(trivial_inequality_removal,[],[f22695]) ).
thf(f22759,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f28,f8774]) ).
thf(f22769,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f22759]) ).
thf(f22846,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_259 ),
inference(constrained_superposition,[],[f12869,f91]) ).
thf(f22850,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f22846]) ).
thf(f22855,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| spl0_97
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f22850,f4373]) ).
thf(f22856,plain,
( ~ spl0_12
| spl0_97
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f22855,f12868,f4372,f169]) ).
thf(f22858,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_134
| ~ spl0_266 ),
inference(constrained_superposition,[],[f13428,f7942]) ).
thf(f22860,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_47
| ~ spl0_134 ),
inference(constrained_superposition,[],[f663,f7942]) ).
thf(f22872,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f164,f7942]) ).
thf(f22878,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_134
| ~ spl0_266 ),
inference(trivial_inequality_removal,[],[f22858]) ).
thf(f22883,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_47
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f22860]) ).
thf(f22886,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f22872]) ).
thf(f22895,plain,
( ~ spl0_178
| ~ spl0_129
| ~ spl0_134
| ~ spl0_266 ),
inference(avatar_split_clause,[],[f22878,f13427,f7941,f7898,f9475]) ).
thf(f22931,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ~ spl0_217
| ~ spl0_299 ),
inference(constrained_superposition,[],[f11658,f15299]) ).
thf(f22936,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_30
| ~ spl0_299 ),
inference(constrained_superposition,[],[f9060,f15299]) ).
thf(f22941,plain,
( ! [X0: $i] :
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ z )
= X0 )
| ( $true != $true )
| ( ( s @ X0 )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true ) )
| ~ spl0_1
| ~ spl0_196
| ~ spl0_299 ),
inference(constrained_superposition,[],[f19702,f15299]) ).
thf(f22949,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_30
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f22936]) ).
thf(f22951,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( s @ z )
= X0 )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( s @ X0 )
= ( s @ z ) ) )
| ~ spl0_1
| ~ spl0_196
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f22941]) ).
thf(f22954,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_217
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f22931]) ).
thf(f22961,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_217
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f22954,f32]) ).
thf(f22965,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| spl0_33
| ~ spl0_217
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f22961,f4312]) ).
thf(f22969,plain,
( $false
| spl0_20
| spl0_33
| ~ spl0_217
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f22965,f3170]) ).
thf(f22970,plain,
( spl0_20
| spl0_33
| ~ spl0_217
| ~ spl0_299 ),
inference(avatar_contradiction_clause,[],[f22969]) ).
thf(f22976,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_30
| ~ spl0_299 ),
inference(constrained_superposition,[],[f22949,f10952]) ).
thf(f22980,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_30
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f22976]) ).
thf(f23010,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| spl0_287 ),
inference(constrained_superposition,[],[f21061,f265]) ).
thf(f23011,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_287 ),
inference(constrained_superposition,[],[f21061,f88]) ).
thf(f23015,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_287 ),
inference(trivial_inequality_removal,[],[f23010]) ).
thf(f23016,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_287 ),
inference(trivial_inequality_removal,[],[f23011]) ).
thf(f23019,definition,
( spl0_400
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_400])],[avatar_definition]) ).
thf(f23020,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_400 ),
inference(avatar_component_clause,[],[f23019]) ).
thf(f23022,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_287 ),
inference(forward_subsumption_resolution,[],[f23015,f32]) ).
thf(f23023,plain,
( spl0_138
| spl0_400
| spl0_287 ),
inference(avatar_split_clause,[],[f23016,f15242,f23019,f7984]) ).
thf(f23025,plain,
( spl0_400
| spl0_287 ),
inference(avatar_split_clause,[],[f23022,f15242,f23019]) ).
thf(f23030,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_136
| ~ spl0_400 ),
inference(constrained_superposition,[],[f22022,f23020]) ).
thf(f23050,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_136
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f23030]) ).
thf(f23056,plain,
( $false
| ~ spl0_136
| ~ spl0_283
| ~ spl0_400 ),
inference(forward_subsumption_resolution,[],[f23050,f15226]) ).
thf(f23057,plain,
( ~ spl0_136
| ~ spl0_283
| ~ spl0_400 ),
inference(avatar_contradiction_clause,[],[f23056]) ).
thf(f23085,plain,
( spl0_177
| spl0_97
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f22886,f7941,f4372,f9398]) ).
thf(f23088,plain,
( ~ spl0_169
| ~ spl0_178
| spl0_145
| ~ spl0_47
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f22883,f7941,f662,f8759,f9475,f9136]) ).
thf(f23094,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f28,f7869]) ).
thf(f23098,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f23094]) ).
thf(f23116,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_168 ),
inference(constrained_superposition,[],[f10172,f10952]) ).
thf(f23117,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_1
| spl0_168 ),
inference(trivial_inequality_removal,[],[f23116]) ).
thf(f23155,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ z ) )
= X0 )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_1
| ~ spl0_97 ),
inference(constrained_superposition,[],[f23098,f18544]) ).
thf(f23159,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ X0 ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_1
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f23155]) ).
thf(f23161,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_47
| ~ spl0_287 ),
inference(constrained_superposition,[],[f663,f15243]) ).
thf(f23191,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_47
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f23161]) ).
thf(f23196,definition,
( spl0_401
<=> ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_401])],[avatar_definition]) ).
thf(f23197,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true ) )
| ~ spl0_401 ),
inference(avatar_component_clause,[],[f23196]) ).
thf(f23237,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_149 ),
inference(constrained_superposition,[],[f22769,f7869]) ).
thf(f23241,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_97
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f23237]) ).
thf(f23246,plain,
( ~ spl0_21
| ~ spl0_97
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f23241,f8773,f4372,f330]) ).
thf(f23247,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true ) )
| ~ spl0_71 ),
inference(constrained_superposition,[],[f28,f1820]) ).
thf(f23248,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X1 @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( z = X0 )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_71 ),
inference(trivial_inequality_removal,[],[f23247]) ).
thf(f23277,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_149
| ~ spl0_399 ),
inference(constrained_superposition,[],[f22482,f8774]) ).
thf(f23283,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_149
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f23277]) ).
thf(f23293,definition,
( spl0_402
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_402])],[avatar_definition]) ).
thf(f23294,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_402 ),
inference(avatar_component_clause,[],[f23293]) ).
thf(f23296,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
= ( s @ z ) )
| ( ( s @ z )
= X0 )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ X0 ) @ z )
= $true ) )
| ~ spl0_1
| spl0_33
| ~ spl0_196
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f22951,f4312]) ).
thf(f23298,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| spl0_283 ),
inference(avatar_component_clause,[],[f15225]) ).
thf(f23301,definition,
( spl0_403
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_403])],[avatar_definition]) ).
thf(f23302,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_403 ),
inference(avatar_component_clause,[],[f23301]) ).
thf(f23305,plain,
( spl0_137
| spl0_136
| spl0_365
| ~ spl0_1
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f23159,f4372,f50,f21691,f7978,f7981]) ).
thf(f23310,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ z @ ( s @ z ) ) )
| ~ spl0_1
| spl0_14
| spl0_126 ),
inference(forward_subsumption_resolution,[],[f22699,f21676]) ).
thf(f23313,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| spl0_137 ),
inference(avatar_component_clause,[],[f7981]) ).
thf(f23317,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_1
| spl0_34
| spl0_168 ),
inference(forward_subsumption_resolution,[],[f23117,f6434]) ).
thf(f23319,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_39
| spl0_126 ),
inference(forward_subsumption_resolution,[],[f22704,f32]) ).
thf(f23331,plain,
( spl0_355
| ~ spl0_283
| ~ spl0_1
| spl0_33
| ~ spl0_196
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f23296,f15298,f11115,f393,f50,f15225,f21425]) ).
thf(f23335,plain,
( ( $true
= ( r @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_14
| spl0_126 ),
inference(forward_subsumption_resolution,[],[f23310,f32]) ).
thf(f23340,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_1
| spl0_34
| spl0_168 ),
inference(forward_subsumption_resolution,[],[f23317,f32]) ).
thf(f23341,plain,
( spl0_136
| spl0_137
| ~ spl0_39
| spl0_126 ),
inference(avatar_split_clause,[],[f23319,f7883,f519,f7981,f7978]) ).
thf(f23353,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_4
| spl0_14
| spl0_126 ),
inference(forward_subsumption_resolution,[],[f23335,f3069]) ).
thf(f23357,plain,
( spl0_136
| spl0_139
| spl0_137
| ~ spl0_1
| spl0_34
| spl0_168 ),
inference(avatar_split_clause,[],[f23340,f9073,f427,f50,f7981,f7996,f7978]) ).
thf(f23363,plain,
( spl0_137
| ~ spl0_1
| spl0_4
| spl0_14
| spl0_126 ),
inference(avatar_split_clause,[],[f23353,f7883,f176,f108,f50,f7981]) ).
thf(f23373,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f28,f7982]) ).
thf(f23374,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f23373]) ).
thf(f23375,plain,
( $false
| ~ spl0_137
| ~ spl0_149
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f23283,f7982]) ).
thf(f23376,plain,
( ~ spl0_137
| ~ spl0_149
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f23375]) ).
thf(f23387,definition,
( spl0_407
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_407])],[avatar_definition]) ).
thf(f23388,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_407 ),
inference(avatar_component_clause,[],[f23387]) ).
thf(f23392,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_1
| spl0_4
| ~ spl0_30
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f22980,f3069]) ).
thf(f23397,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_1
| spl0_4
| ~ spl0_30
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f23392,f32]) ).
thf(f23399,plain,
( spl0_283
| spl0_222
| spl0_14
| ~ spl0_1
| spl0_4
| ~ spl0_30
| ~ spl0_299 ),
inference(avatar_split_clause,[],[f23397,f15298,f361,f108,f50,f176,f11681,f15225]) ).
thf(f23400,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_14 ),
inference(constrained_superposition,[],[f28,f177]) ).
thf(f23401,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f23400]) ).
thf(f23402,plain,
( spl0_397
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f23401,f176,f22249]) ).
thf(f23420,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) ) )
| ~ spl0_86 ),
inference(constrained_superposition,[],[f28,f3072]) ).
thf(f23421,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ ( s @ ( s @ ( s @ X0 ) ) ) ) )
| ( $true
!= ( r @ X1 @ z ) ) )
| ~ spl0_86 ),
inference(trivial_inequality_removal,[],[f23420]) ).
thf(f23427,plain,
( ( $true != $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_168
| ~ spl0_194 ),
inference(constrained_superposition,[],[f11108,f9074]) ).
thf(f23442,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_168
| ~ spl0_194 ),
inference(trivial_inequality_removal,[],[f23427]) ).
thf(f23448,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ z ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_34
| ~ spl0_168
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f23442,f6434]) ).
thf(f23451,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( z
= ( s @ ( s @ z ) ) )
| spl0_33
| spl0_34
| ~ spl0_168
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f23448,f4312]) ).
thf(f23454,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| spl0_33
| spl0_34
| ~ spl0_168
| ~ spl0_194 ),
inference(forward_subsumption_resolution,[],[f23451,f32]) ).
thf(f23457,plain,
( spl0_136
| spl0_33
| spl0_34
| ~ spl0_168
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f23454,f11107,f9073,f427,f393,f7978]) ).
thf(f23464,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_155 ),
inference(constrained_superposition,[],[f8798,f30]) ).
thf(f23466,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| spl0_155 ),
inference(trivial_inequality_removal,[],[f23464]) ).
thf(f23469,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| spl0_140
| spl0_155 ),
inference(forward_subsumption_resolution,[],[f23466,f11364]) ).
thf(f23470,plain,
( spl0_141
| spl0_140
| spl0_155 ),
inference(avatar_split_clause,[],[f23469,f8797,f8553,f8556]) ).
thf(f23472,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f28,f8557]) ).
thf(f23473,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f23472]) ).
thf(f23517,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_86
| ~ spl0_133 ),
inference(constrained_superposition,[],[f23421,f7939]) ).
thf(f23522,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_86
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f23517]) ).
thf(f23529,plain,
( $false
| ~ spl0_86
| ~ spl0_133 ),
inference(forward_subsumption_resolution,[],[f23522,f3072]) ).
thf(f23530,plain,
( ~ spl0_86
| ~ spl0_133 ),
inference(avatar_contradiction_clause,[],[f23529]) ).
thf(f23553,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f30]) ).
thf(f23555,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f23553]) ).
thf(f23624,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_123
| ~ spl0_292 ),
inference(constrained_superposition,[],[f7865,f15270]) ).
thf(f23639,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_123
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f23624]) ).
thf(f23641,plain,
( ~ spl0_323
| ~ spl0_123
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f23639,f15269,f7864,f20392]) ).
thf(f23674,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_47
| ~ spl0_314 ),
inference(constrained_superposition,[],[f663,f20142]) ).
thf(f23678,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_131
| ~ spl0_314 ),
inference(constrained_superposition,[],[f13396,f20142]) ).
thf(f23687,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_131
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f23678]) ).
thf(f23699,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_47
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f23674]) ).
thf(f23701,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_131
| ~ spl0_292
| ~ spl0_314 ),
inference(forward_subsumption_resolution,[],[f23687,f15270]) ).
thf(f23703,plain,
( spl0_329
| ~ spl0_131
| ~ spl0_292
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f23701,f20141,f15269,f7931,f20417]) ).
thf(f23707,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_47
| ~ spl0_317 ),
inference(constrained_superposition,[],[f663,f20153]) ).
thf(f23731,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_47
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f23707]) ).
thf(f23737,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_134
| ~ spl0_192 ),
inference(constrained_superposition,[],[f10335,f7942]) ).
thf(f23738,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_192
| ~ spl0_317 ),
inference(constrained_superposition,[],[f10335,f20153]) ).
thf(f23751,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_192
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f23738]) ).
thf(f23752,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_134
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f23737]) ).
thf(f23755,plain,
( ~ spl0_323
| ~ spl0_192
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f23751,f20152,f10334,f20392]) ).
thf(f23756,plain,
( ~ spl0_127
| ~ spl0_134
| ~ spl0_192 ),
inference(avatar_split_clause,[],[f23752,f10334,f7941,f7887]) ).
thf(f23762,plain,
( spl0_299
| ~ spl0_191
| ~ spl0_173
| ~ spl0_47
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f23699,f20141,f662,f9190,f10330,f15298]) ).
thf(f23856,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_211 ),
inference(constrained_superposition,[],[f215,f11435]) ).
thf(f23867,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f23856]) ).
thf(f23877,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_131
| ~ spl0_190 ),
inference(constrained_superposition,[],[f10327,f7932]) ).
thf(f23878,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_190
| ~ spl0_292 ),
inference(constrained_superposition,[],[f10327,f15270]) ).
thf(f23891,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_190
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f23878]) ).
thf(f23896,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_131
| ~ spl0_190 ),
inference(trivial_inequality_removal,[],[f23877]) ).
thf(f23897,plain,
( $false
| ~ spl0_190
| ~ spl0_287
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f23891,f15243]) ).
thf(f23898,plain,
( ~ spl0_190
| ~ spl0_287
| ~ spl0_292 ),
inference(avatar_contradiction_clause,[],[f23897]) ).
thf(f23901,plain,
( $false
| ~ spl0_131
| ~ spl0_134
| ~ spl0_190 ),
inference(forward_subsumption_resolution,[],[f23896,f7942]) ).
thf(f23902,plain,
( ~ spl0_131
| ~ spl0_134
| ~ spl0_190 ),
inference(avatar_contradiction_clause,[],[f23901]) ).
thf(f23913,plain,
( spl0_128
| ~ spl0_129
| spl0_242
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f23867,f11434,f12021,f7898,f7895]) ).
thf(f23916,definition,
( spl0_409
<=> ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_409])],[avatar_definition]) ).
thf(f23917,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_409 ),
inference(avatar_component_clause,[],[f23916]) ).
thf(f23938,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f23555,f30]) ).
thf(f23940,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f23938]) ).
thf(f23941,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f23940]) ).
thf(f23948,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f28,f9074]) ).
thf(f23952,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f23948]) ).
thf(f23975,plain,
( ( $true != $true )
| ( z
= ( s @ ( s @ z ) ) )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_71
| ~ spl0_132 ),
inference(constrained_superposition,[],[f23248,f7935]) ).
thf(f23976,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_53
| ~ spl0_132 ),
inference(constrained_superposition,[],[f6464,f7935]) ).
thf(f23977,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f28,f7935]) ).
thf(f23978,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f23977]) ).
thf(f23980,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_71
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f23975]) ).
thf(f23984,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_53
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f23976]) ).
thf(f23985,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_71
| ~ spl0_132
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f23980,f7982]) ).
thf(f23986,plain,
( $false
| ~ spl0_71
| ~ spl0_132
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f23985,f32]) ).
thf(f23987,plain,
( ~ spl0_71
| ~ spl0_132
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f23986]) ).
thf(f23990,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_137 ),
inference(constrained_superposition,[],[f23374,f7939]) ).
thf(f23992,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f28,f7939]) ).
thf(f23993,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_133
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f23990]) ).
thf(f23994,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f23992]) ).
thf(f24000,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_168 ),
inference(constrained_superposition,[],[f23952,f7979]) ).
thf(f24001,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f24000]) ).
thf(f24004,plain,
( $false
| ~ spl0_20
| ~ spl0_136
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f24001,f327]) ).
thf(f24005,plain,
( ~ spl0_20
| ~ spl0_136
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f24004]) ).
thf(f24017,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_141
| ~ spl0_313 ),
inference(constrained_superposition,[],[f23473,f20139]) ).
thf(f24018,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_53
| ~ spl0_313 ),
inference(constrained_superposition,[],[f6464,f20139]) ).
thf(f24021,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_141
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f24017]) ).
thf(f24024,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_53
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f24018]) ).
thf(f24025,plain,
( $false
| ~ spl0_141
| ~ spl0_221
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f24021,f11675]) ).
thf(f24026,plain,
( ~ spl0_141
| ~ spl0_221
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f24025]) ).
thf(f24027,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_53
| ~ spl0_221
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f24024,f11675]) ).
thf(f24028,plain,
( $false
| ~ spl0_53
| ~ spl0_133
| ~ spl0_137
| ~ spl0_221
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f24027,f23993]) ).
thf(f24029,plain,
( ~ spl0_53
| ~ spl0_133
| ~ spl0_137
| ~ spl0_221
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f24028]) ).
thf(f24032,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_53
| ~ spl0_133
| ~ spl0_137
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f24024,f23993]) ).
thf(f24033,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ~ spl0_53
| ~ spl0_133
| ~ spl0_137
| ~ spl0_313 ),
inference(constrained_superposition,[],[f24032,f725]) ).
thf(f24037,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_53
| ~ spl0_133
| ~ spl0_137
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f24033]) ).
thf(f24058,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_219
| ~ spl0_298 ),
inference(constrained_superposition,[],[f11666,f15295]) ).
thf(f24062,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_219
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f24058]) ).
thf(f24064,plain,
( $false
| ~ spl0_30
| ~ spl0_219
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f24062,f362]) ).
thf(f24065,plain,
( ~ spl0_30
| ~ spl0_219
| ~ spl0_298 ),
inference(avatar_contradiction_clause,[],[f24064]) ).
thf(f24095,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_132
| ~ spl0_313 ),
inference(constrained_superposition,[],[f23978,f20139]) ).
thf(f24099,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_132
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f24095]) ).
thf(f24111,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f28,f11428]) ).
thf(f24112,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f24111]) ).
thf(f24121,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_53
| ~ spl0_210 ),
inference(constrained_superposition,[],[f6464,f11432]) ).
thf(f24123,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_53
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f24121]) ).
thf(f24129,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_213
| ~ spl0_285 ),
inference(constrained_superposition,[],[f15235,f11639]) ).
thf(f24130,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_213
| ~ spl0_285 ),
inference(trivial_inequality_removal,[],[f24129]) ).
thf(f24132,plain,
( $false
| ~ spl0_20
| ~ spl0_213
| ~ spl0_285 ),
inference(forward_subsumption_resolution,[],[f24130,f327]) ).
thf(f24133,plain,
( ~ spl0_20
| ~ spl0_213
| ~ spl0_285 ),
inference(avatar_contradiction_clause,[],[f24132]) ).
thf(f24135,definition,
( spl0_410
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_410])],[avatar_definition]) ).
thf(f24136,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_410 ),
inference(avatar_component_clause,[],[f24135]) ).
thf(f24140,definition,
( spl0_411
<=> ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_411])],[avatar_definition]) ).
thf(f24141,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_411 ),
inference(avatar_component_clause,[],[f24140]) ).
thf(f24230,plain,
( ~ spl0_178
| ~ spl0_169
| spl0_299
| ~ spl0_47
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f23191,f15242,f662,f15298,f9136,f9475]) ).
thf(f24245,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_299
| ~ spl0_399 ),
inference(constrained_superposition,[],[f22482,f15299]) ).
thf(f24252,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_299
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f24245]) ).
thf(f24254,plain,
( $false
| ~ spl0_283
| ~ spl0_299
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f24252,f15226]) ).
thf(f24255,plain,
( ~ spl0_283
| ~ spl0_299
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f24254]) ).
thf(f24258,definition,
( spl0_412
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_412])],[avatar_definition]) ).
thf(f24259,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_412 ),
inference(avatar_component_clause,[],[f24258]) ).
thf(f24261,plain,
( spl0_283
| ~ spl0_53
| ~ spl0_133
| ~ spl0_137
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f24037,f20138,f7981,f7938,f724,f15225]) ).
thf(f24266,plain,
( $false
| ~ spl0_132
| ~ spl0_313
| ~ spl0_400 ),
inference(forward_subsumption_resolution,[],[f23020,f24099]) ).
thf(f24267,plain,
( ~ spl0_132
| ~ spl0_313
| ~ spl0_400 ),
inference(avatar_contradiction_clause,[],[f24266]) ).
thf(f24269,plain,
( ~ spl0_340
| spl0_145
| ~ spl0_296
| ~ spl0_47
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f23731,f20152,f662,f15286,f8759,f20895]) ).
thf(f24296,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_283 ),
inference(constrained_superposition,[],[f28,f15226]) ).
thf(f24297,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f24296]) ).
thf(f24384,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_283
| ~ spl0_332 ),
inference(constrained_superposition,[],[f24297,f20637]) ).
thf(f24386,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_283
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f24384]) ).
thf(f24395,plain,
( spl0_230
| ~ spl0_126
| ~ spl0_53
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f24123,f11431,f724,f7883,f11939]) ).
thf(f24396,plain,
( spl0_135
| ~ spl0_126
| ~ spl0_53
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f23984,f7934,f724,f7883,f7957]) ).
thf(f24398,plain,
( ~ spl0_137
| ~ spl0_283
| ~ spl0_332 ),
inference(avatar_split_clause,[],[f24386,f20636,f15225,f7981]) ).
thf(f24420,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f28,f7958]) ).
thf(f24421,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f24420]) ).
thf(f24422,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_132
| ~ spl0_142 ),
inference(constrained_superposition,[],[f23978,f8560]) ).
thf(f24427,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_132
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f24422]) ).
thf(f24446,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_132
| ~ spl0_142 ),
inference(constrained_superposition,[],[f24427,f23941]) ).
thf(f24447,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ z ) )
| ~ spl0_2
| spl0_4 ),
inference(constrained_superposition,[],[f3069,f23941]) ).
thf(f24459,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_132
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f24446]) ).
thf(f24460,plain,
( ( z
= ( s @ z ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_2
| spl0_4 ),
inference(trivial_inequality_removal,[],[f24447]) ).
thf(f24466,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_132
| spl0_137
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f24459,f23313]) ).
thf(f24467,plain,
( ( ( r @ ( s @ z ) @ z )
= $true )
| ~ spl0_2
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f24460,f32]) ).
thf(f24469,plain,
( $false
| ~ spl0_2
| ~ spl0_132
| spl0_137
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f24466,f32]) ).
thf(f24470,plain,
( ~ spl0_2
| ~ spl0_132
| spl0_137
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f24469]) ).
thf(f24471,plain,
( $false
| ~ spl0_2
| spl0_4
| spl0_14 ),
inference(forward_subsumption_resolution,[],[f24467,f21676]) ).
thf(f24472,plain,
( ~ spl0_2
| spl0_4
| spl0_14 ),
inference(avatar_contradiction_clause,[],[f24471]) ).
thf(f24478,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_34 ),
inference(constrained_superposition,[],[f28,f428]) ).
thf(f24479,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f24478]) ).
thf(f24480,plain,
( spl0_399
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f24479,f427,f22481]) ).
thf(f24509,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f28,f8560]) ).
thf(f24510,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f24509]) ).
thf(f24556,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f215,f7932]) ).
thf(f24572,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f24556]) ).
thf(f24578,plain,
( spl0_128
| ~ spl0_129
| spl0_141
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f24572,f7931,f8556,f7898,f7895]) ).
thf(f24603,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_283
| ~ spl0_298 ),
inference(constrained_superposition,[],[f24297,f15295]) ).
thf(f24609,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_283
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f24603]) ).
thf(f24613,plain,
( $false
| ~ spl0_34
| ~ spl0_283
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f24609,f428]) ).
thf(f24614,plain,
( ~ spl0_34
| ~ spl0_283
| ~ spl0_298 ),
inference(avatar_contradiction_clause,[],[f24613]) ).
thf(f24627,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_189 ),
inference(constrained_superposition,[],[f10323,f36]) ).
thf(f24634,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_189 ),
inference(trivial_inequality_removal,[],[f24627]) ).
thf(f24635,plain,
( ~ spl0_16
| spl0_136
| ~ spl0_189 ),
inference(avatar_split_clause,[],[f24634,f10322,f7978,f226]) ).
thf(f24642,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_135
| ~ spl0_171 ),
inference(constrained_superposition,[],[f24421,f9143]) ).
thf(f24644,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_135
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f24642]) ).
thf(f24646,plain,
( $false
| ~ spl0_34
| ~ spl0_135
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[],[f24644,f428]) ).
thf(f24647,plain,
( ~ spl0_34
| ~ spl0_135
| ~ spl0_171 ),
inference(avatar_contradiction_clause,[],[f24646]) ).
thf(f24679,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_152
| ~ spl0_397 ),
inference(constrained_superposition,[],[f22250,f8786]) ).
thf(f24681,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_152
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f24679]) ).
thf(f24724,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_141
| ~ spl0_142 ),
inference(constrained_superposition,[],[f24510,f8557]) ).
thf(f24727,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_141
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f24724]) ).
thf(f24728,plain,
( $false
| ~ spl0_14
| ~ spl0_141
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f24727,f177]) ).
thf(f24729,plain,
( ~ spl0_14
| ~ spl0_141
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f24728]) ).
thf(f24731,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f28,f7935]) ).
thf(f24732,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f24731]) ).
thf(f24738,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_123 ),
inference(constrained_superposition,[],[f7865,f35]) ).
thf(f24744,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_123 ),
inference(trivial_inequality_removal,[],[f24738]) ).
thf(f24748,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_123
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f24744,f23313]) ).
thf(f24749,plain,
( ~ spl0_12
| ~ spl0_123
| spl0_137 ),
inference(avatar_split_clause,[],[f24748,f7981,f7864,f169]) ).
thf(f24763,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_332 ),
inference(constrained_superposition,[],[f28,f20637]) ).
thf(f24764,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f24763]) ).
thf(f24793,definition,
( spl0_413
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_413])],[avatar_definition]) ).
thf(f24794,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_413 ),
inference(avatar_component_clause,[],[f24793]) ).
thf(f24822,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_192 ),
inference(constrained_superposition,[],[f10335,f35]) ).
thf(f24831,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_192 ),
inference(trivial_inequality_removal,[],[f24822]) ).
thf(f24832,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_152
| ~ spl0_192
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f24831,f24681]) ).
thf(f24833,plain,
( ~ spl0_12
| ~ spl0_152
| ~ spl0_192
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f24832,f22249,f10334,f8785,f169]) ).
thf(f24856,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_287
| ~ spl0_403 ),
inference(constrained_superposition,[],[f23302,f15243]) ).
thf(f24864,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_287
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f24856]) ).
thf(f24872,plain,
( ~ spl0_153
| ~ spl0_287
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f24864,f23301,f15242,f8788]) ).
thf(f24977,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_142
| ~ spl0_313 ),
inference(constrained_superposition,[],[f24510,f20139]) ).
thf(f24979,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_142
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f24977]) ).
thf(f24995,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_142 ),
inference(constrained_superposition,[],[f23994,f8560]) ).
thf(f24997,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_133
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f24995]) ).
thf(f25041,definition,
( spl0_416
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_416])],[avatar_definition]) ).
thf(f25042,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_416 ),
inference(avatar_component_clause,[],[f25041]) ).
thf(f25049,definition,
( spl0_418
<=> ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_418])],[avatar_definition]) ).
thf(f25050,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_418 ),
inference(avatar_component_clause,[],[f25049]) ).
thf(f25057,definition,
( spl0_420
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_420])],[avatar_definition]) ).
thf(f25058,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_420 ),
inference(avatar_component_clause,[],[f25057]) ).
thf(f25071,definition,
( spl0_424
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_424])],[avatar_definition]) ).
thf(f25072,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_424 ),
inference(avatar_component_clause,[],[f25071]) ).
thf(f25074,definition,
( spl0_425
<=> ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_425])],[avatar_definition]) ).
thf(f25075,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| spl0_425 ),
inference(avatar_component_clause,[],[f25074]) ).
thf(f25077,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_420 ),
inference(constrained_superposition,[],[f28,f25058]) ).
thf(f25078,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f25077]) ).
thf(f25081,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_425 ),
inference(constrained_superposition,[],[f25075,f264]) ).
thf(f25087,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_425 ),
inference(trivial_inequality_removal,[],[f25081]) ).
thf(f25116,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_318
| ~ spl0_332 ),
inference(constrained_superposition,[],[f24764,f20156]) ).
thf(f25118,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_318
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f25116]) ).
thf(f25121,plain,
( $false
| ~ spl0_133
| ~ spl0_318
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f25118,f7939]) ).
thf(f25122,plain,
( ~ spl0_133
| ~ spl0_318
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f25121]) ).
thf(f25123,plain,
( ~ spl0_283
| ~ spl0_142
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f24979,f20138,f8559,f15225]) ).
thf(f25215,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_287 ),
inference(constrained_superposition,[],[f51,f15243]) ).
thf(f25226,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f25215]) ).
thf(f25234,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| spl0_283
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f25226,f23298]) ).
thf(f25235,plain,
( ~ spl0_153
| ~ spl0_125
| ~ spl0_1
| spl0_283
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f25234,f15242,f15225,f50,f7878,f8788]) ).
thf(f25244,definition,
( spl0_428
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) ) ),
introduced(definition,[new_symbols(definition,[spl0_428])],[avatar_definition]) ).
thf(f25245,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| spl0_428 ),
inference(avatar_component_clause,[],[f25244]) ).
thf(f25250,plain,
( $false
| ~ spl0_133
| ~ spl0_136
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f7979,f24997]) ).
thf(f25251,plain,
( ~ spl0_133
| ~ spl0_136
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f25250]) ).
thf(f25269,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_152
| ~ spl0_397 ),
inference(constrained_superposition,[],[f22250,f8786]) ).
thf(f25272,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_152
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f25269]) ).
thf(f25307,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_134
| ~ spl0_183 ),
inference(constrained_superposition,[],[f9666,f7942]) ).
thf(f25308,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f1578,f7942]) ).
thf(f25311,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f215,f7942]) ).
thf(f25316,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f25308]) ).
thf(f25328,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f25311]) ).
thf(f25330,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f25307]) ).
thf(f25331,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_134
| spl0_168 ),
inference(forward_subsumption_resolution,[],[f25316,f10172]) ).
thf(f25336,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_97
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f25328,f4373]) ).
thf(f25337,plain,
( ~ spl0_151
| ~ spl0_173
| ~ spl0_134
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f25330,f9665,f7941,f9190,f8782]) ).
thf(f25338,plain,
( spl0_172
| ~ spl0_173
| ~ spl0_134
| spl0_168 ),
inference(avatar_split_clause,[],[f25331,f9073,f7941,f9190,f9187]) ).
thf(f25341,plain,
( ~ spl0_155
| spl0_267
| spl0_97
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f25336,f7941,f4372,f13432,f8797]) ).
thf(f25350,plain,
( $false
| ~ spl0_135
| ~ spl0_152
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f25272,f7958]) ).
thf(f25351,plain,
( ~ spl0_135
| ~ spl0_152
| ~ spl0_397 ),
inference(avatar_contradiction_clause,[],[f25350]) ).
thf(f25697,definition,
( spl0_434
<=> ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_434])],[avatar_definition]) ).
thf(f25698,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_434 ),
inference(avatar_component_clause,[],[f25697]) ).
thf(f25702,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_420
| ~ spl0_434 ),
inference(constrained_superposition,[],[f25078,f25698]) ).
thf(f25704,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_420
| ~ spl0_434 ),
inference(trivial_inequality_removal,[],[f25702]) ).
thf(f25706,plain,
( $false
| ~ spl0_14
| ~ spl0_420
| ~ spl0_434 ),
inference(forward_subsumption_resolution,[],[f25704,f177]) ).
thf(f25707,plain,
( ~ spl0_14
| ~ spl0_420
| ~ spl0_434 ),
inference(avatar_contradiction_clause,[],[f25706]) ).
thf(f25741,definition,
( spl0_435
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_435])],[avatar_definition]) ).
thf(f25742,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_435 ),
inference(avatar_component_clause,[],[f25741]) ).
thf(f25828,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_132
| ~ spl0_141 ),
inference(constrained_superposition,[],[f24732,f8557]) ).
thf(f25830,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_132
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f25828]) ).
thf(f25841,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_285
| ~ spl0_318 ),
inference(constrained_superposition,[],[f15235,f20156]) ).
thf(f25844,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_285
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f25841]) ).
thf(f25845,plain,
( $false
| ~ spl0_145
| ~ spl0_285
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f25844,f8760]) ).
thf(f25846,plain,
( ~ spl0_145
| ~ spl0_285
| ~ spl0_318 ),
inference(avatar_contradiction_clause,[],[f25845]) ).
thf(f25847,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f28,f9074]) ).
thf(f25848,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f25847]) ).
thf(f25933,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_168 ),
inference(constrained_superposition,[],[f25848,f7939]) ).
thf(f25936,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_133
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f25933]) ).
thf(f25938,plain,
( $false
| ~ spl0_133
| ~ spl0_145
| ~ spl0_168 ),
inference(forward_subsumption_resolution,[],[f25936,f8760]) ).
thf(f25939,plain,
( ~ spl0_133
| ~ spl0_145
| ~ spl0_168 ),
inference(avatar_contradiction_clause,[],[f25938]) ).
thf(f26070,plain,
( ( z
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_71
| spl0_137 ),
inference(constrained_superposition,[],[f23313,f1820]) ).
thf(f26073,plain,
( ( z
= ( s @ z ) )
| ~ spl0_71
| spl0_137 ),
inference(trivial_inequality_removal,[],[f26070]) ).
thf(f26077,plain,
( $false
| ~ spl0_71
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f26073,f32]) ).
thf(f26078,plain,
( ~ spl0_71
| spl0_137 ),
inference(avatar_contradiction_clause,[],[f26077]) ).
thf(f26124,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_400 ),
inference(constrained_superposition,[],[f28,f23020]) ).
thf(f26125,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f26124]) ).
thf(f26136,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f215,f15270]) ).
thf(f26150,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f26136]) ).
thf(f26157,plain,
( ~ spl0_129
| spl0_128
| spl0_331
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f26150,f15269,f20437,f7895,f7898]) ).
thf(f26201,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_318
| ~ spl0_400 ),
inference(constrained_superposition,[],[f26125,f20156]) ).
thf(f26203,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_318
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f26201]) ).
thf(f26205,plain,
( $false
| ~ spl0_133
| ~ spl0_318
| ~ spl0_400 ),
inference(forward_subsumption_resolution,[],[f26203,f7939]) ).
thf(f26206,plain,
( ~ spl0_133
| ~ spl0_318
| ~ spl0_400 ),
inference(avatar_contradiction_clause,[],[f26205]) ).
thf(f26211,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_183
| ~ spl0_287 ),
inference(constrained_superposition,[],[f9666,f15243]) ).
thf(f26227,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_183
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f26211]) ).
thf(f26256,plain,
( spl0_418
| spl0_425 ),
inference(avatar_split_clause,[],[f25087,f25074,f25049]) ).
thf(f26273,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_128
| ~ spl0_287 ),
inference(constrained_superposition,[],[f7896,f15243]) ).
thf(f26284,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_128
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f26273]) ).
thf(f26286,plain,
( ~ spl0_324
| ~ spl0_323
| ~ spl0_128
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f26284,f15242,f7895,f20392,f20395]) ).
thf(f26288,plain,
( ~ spl0_97
| ~ spl0_132
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f25830,f8556,f7934,f4372]) ).
thf(f26293,plain,
( ~ spl0_300
| ~ spl0_296
| ~ spl0_183
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f26227,f15242,f9665,f15286,f15304]) ).
thf(f26300,definition,
( spl0_442
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_442])],[avatar_definition]) ).
thf(f26301,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_442 ),
inference(avatar_component_clause,[],[f26300]) ).
thf(f26313,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f28,f8786]) ).
thf(f26314,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f26313]) ).
thf(f26324,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f28,f11639]) ).
thf(f26325,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f26324]) ).
thf(f26343,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_213
| ~ spl0_331 ),
inference(constrained_superposition,[],[f26325,f20438]) ).
thf(f26347,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_213
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f26343]) ).
thf(f26348,plain,
( $false
| ~ spl0_14
| ~ spl0_213
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f26347,f177]) ).
thf(f26349,plain,
( ~ spl0_14
| ~ spl0_213
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f26348]) ).
thf(f26362,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_152
| ~ spl0_313 ),
inference(constrained_superposition,[],[f26314,f20139]) ).
thf(f26366,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_152
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f26362]) ).
thf(f26368,plain,
( $false
| ~ spl0_152
| ~ spl0_221
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f26366,f11675]) ).
thf(f26369,plain,
( ~ spl0_152
| ~ spl0_221
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f26368]) ).
thf(f26374,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_21
| ~ spl0_399 ),
inference(constrained_superposition,[],[f22482,f331]) ).
thf(f26377,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_21
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f26374]) ).
thf(f26379,plain,
( $false
| ~ spl0_14
| ~ spl0_21
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f26377,f177]) ).
thf(f26380,plain,
( ~ spl0_14
| ~ spl0_21
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f26379]) ).
thf(f26387,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_137 ),
inference(constrained_superposition,[],[f28,f7982]) ).
thf(f26388,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f26387]) ).
thf(f26401,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_126
| ~ spl0_397 ),
inference(constrained_superposition,[],[f22250,f7884]) ).
thf(f26403,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_126
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f26401]) ).
thf(f26405,plain,
( $false
| ~ spl0_126
| ~ spl0_137
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f26403,f7982]) ).
thf(f26406,plain,
( ~ spl0_126
| ~ spl0_137
| ~ spl0_397 ),
inference(avatar_contradiction_clause,[],[f26405]) ).
thf(f26415,plain,
( ! [X0: $i] :
( ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f30]) ).
thf(f26417,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f26415]) ).
thf(f26419,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_97 ),
inference(constrained_superposition,[],[f28,f7869]) ).
thf(f26420,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_97 ),
inference(trivial_inequality_removal,[],[f26419]) ).
thf(f26447,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f28,f9143]) ).
thf(f26448,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f26447]) ).
thf(f26464,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_137
| ~ spl0_209 ),
inference(constrained_superposition,[],[f26388,f11428]) ).
thf(f26469,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_137
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f26464]) ).
thf(f26470,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f28,f7935]) ).
thf(f26471,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f26470]) ).
thf(f26569,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f215,f20153]) ).
thf(f26584,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f26569]) ).
thf(f26590,plain,
( spl0_331
| ~ spl0_155
| spl0_267
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f26584,f20152,f13432,f8797,f20437]) ).
thf(f26633,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_171
| ~ spl0_313 ),
inference(constrained_superposition,[],[f26448,f20139]) ).
thf(f26638,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_171
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f26633]) ).
thf(f26640,plain,
( $false
| ~ spl0_171
| ~ spl0_299
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f26638,f15299]) ).
thf(f26641,plain,
( ~ spl0_171
| ~ spl0_299
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f26640]) ).
thf(f26678,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_213
| ~ spl0_332 ),
inference(constrained_superposition,[],[f26325,f20637]) ).
thf(f26679,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_332 ),
inference(constrained_superposition,[],[f28,f20637]) ).
thf(f26680,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_213
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f26678]) ).
thf(f26681,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f26679]) ).
thf(f26682,plain,
( $false
| ~ spl0_137
| ~ spl0_213
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f26680,f7982]) ).
thf(f26683,plain,
( ~ spl0_137
| ~ spl0_213
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f26682]) ).
thf(f26697,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ~ spl0_97
| ~ spl0_400 ),
inference(constrained_superposition,[],[f26420,f23020]) ).
thf(f26700,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_97
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f26697]) ).
thf(f26703,plain,
( $false
| ~ spl0_97
| ~ spl0_221
| ~ spl0_400 ),
inference(forward_subsumption_resolution,[],[f26700,f11675]) ).
thf(f26704,plain,
( ~ spl0_97
| ~ spl0_221
| ~ spl0_400 ),
inference(avatar_contradiction_clause,[],[f26703]) ).
thf(f26752,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_285
| ~ spl0_331 ),
inference(constrained_superposition,[],[f15235,f20438]) ).
thf(f26753,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_285
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f26752]) ).
thf(f26757,plain,
( ~ spl0_21
| ~ spl0_285
| ~ spl0_331 ),
inference(avatar_split_clause,[],[f26753,f20437,f15234,f330]) ).
thf(f26923,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f26417,f30]) ).
thf(f26925,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true != $true )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f26923]) ).
thf(f26926,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f26925]) ).
thf(f26947,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_286
| ~ spl0_317 ),
inference(constrained_superposition,[],[f15239,f20153]) ).
thf(f26953,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_286
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f26947]) ).
thf(f26960,plain,
( ~ spl0_260
| ~ spl0_155
| ~ spl0_286
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f26953,f20152,f15238,f8797,f13018]) ).
thf(f26970,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_314
| ~ spl0_402 ),
inference(constrained_superposition,[],[f23294,f20142]) ).
thf(f26971,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_402 ),
inference(constrained_superposition,[],[f23294,f263]) ).
thf(f26978,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_402 ),
inference(trivial_inequality_removal,[],[f26971]) ).
thf(f26981,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_314
| ~ spl0_402 ),
inference(trivial_inequality_removal,[],[f26970]) ).
thf(f26986,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_299
| ~ spl0_402 ),
inference(forward_subsumption_resolution,[],[f26978,f20285]) ).
thf(f26988,plain,
( ~ spl0_157
| ~ spl0_131
| ~ spl0_314
| ~ spl0_402 ),
inference(avatar_split_clause,[],[f26981,f23293,f20141,f7931,f8803]) ).
thf(f26989,plain,
( ~ spl0_37
| ~ spl0_178
| spl0_299
| ~ spl0_402 ),
inference(avatar_split_clause,[],[f26986,f23293,f15298,f9475,f458]) ).
thf(f27028,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_317
| ~ spl0_327 ),
inference(constrained_superposition,[],[f20410,f20153]) ).
thf(f27031,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_327 ),
inference(constrained_superposition,[],[f20410,f36]) ).
thf(f27034,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f27031]) ).
thf(f27035,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_317
| ~ spl0_327 ),
inference(trivial_inequality_removal,[],[f27028]) ).
thf(f27040,plain,
( ~ spl0_125
| spl0_213
| ~ spl0_16
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f27034,f20409,f226,f11638,f7878]) ).
thf(f27042,plain,
( ~ spl0_134
| ~ spl0_155
| ~ spl0_317
| ~ spl0_327 ),
inference(avatar_split_clause,[],[f27035,f20409,f20152,f8797,f7941]) ).
thf(f27057,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f15229,f35]) ).
thf(f27065,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f27057]) ).
thf(f27193,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_325 ),
inference(constrained_superposition,[],[f20401,f35]) ).
thf(f27203,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f27193]) ).
thf(f27204,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_283
| ~ spl0_325 ),
inference(forward_subsumption_resolution,[],[f27203,f23298]) ).
thf(f27205,plain,
( ~ spl0_35
| ~ spl0_157
| spl0_283
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f27204,f20400,f15225,f8803,f452]) ).
thf(f27244,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f28,f8557]) ).
thf(f27245,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f27244]) ).
thf(f27258,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_259 ),
inference(constrained_superposition,[],[f12869,f264]) ).
thf(f27263,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_259 ),
inference(trivial_inequality_removal,[],[f27258]) ).
thf(f27268,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_168
| ~ spl0_259 ),
inference(forward_subsumption_resolution,[],[f27263,f10172]) ).
thf(f27269,plain,
( ~ spl0_35
| spl0_168
| ~ spl0_259 ),
inference(avatar_split_clause,[],[f27268,f12868,f9073,f452]) ).
thf(f27270,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_137 ),
inference(constrained_superposition,[],[f26388,f7939]) ).
thf(f27272,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_133
| ~ spl0_137 ),
inference(trivial_inequality_removal,[],[f27270]) ).
thf(f27286,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_159
| ~ spl0_317 ),
inference(constrained_superposition,[],[f8812,f20153]) ).
thf(f27294,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_159
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f27286]) ).
thf(f27302,plain,
( ~ spl0_339
| ~ spl0_159
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f27294,f20152,f8811,f20891]) ).
thf(f27331,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| spl0_428 ),
inference(constrained_superposition,[],[f25245,f35]) ).
thf(f27333,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| spl0_428 ),
inference(trivial_inequality_removal,[],[f27331]) ).
thf(f27335,plain,
( spl0_420
| spl0_428 ),
inference(avatar_split_clause,[],[f27333,f25244,f25057]) ).
thf(f27345,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_397
| ~ spl0_416 ),
inference(constrained_superposition,[],[f22250,f25042]) ).
thf(f27348,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_397
| ~ spl0_416 ),
inference(trivial_inequality_removal,[],[f27345]) ).
thf(f27349,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_314
| ~ spl0_403 ),
inference(constrained_superposition,[],[f23302,f20142]) ).
thf(f27358,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_314
| ~ spl0_403 ),
inference(trivial_inequality_removal,[],[f27349]) ).
thf(f27365,plain,
( ~ spl0_157
| ~ spl0_314
| ~ spl0_403 ),
inference(avatar_split_clause,[],[f27358,f23301,f20141,f8803]) ).
thf(f27416,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_320 ),
inference(constrained_superposition,[],[f28,f20163]) ).
thf(f27417,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f27416]) ).
thf(f27448,plain,
( $false
| ~ spl0_397
| ~ spl0_416
| ~ spl0_420 ),
inference(forward_subsumption_resolution,[],[f25058,f27348]) ).
thf(f27449,plain,
( ~ spl0_397
| ~ spl0_416
| ~ spl0_420 ),
inference(avatar_contradiction_clause,[],[f27448]) ).
thf(f27514,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| spl0_20 ),
inference(constrained_superposition,[],[f3170,f26926]) ).
thf(f27517,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_2
| ~ spl0_209 ),
inference(constrained_superposition,[],[f24112,f26926]) ).
thf(f27520,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_320 ),
inference(constrained_superposition,[],[f27417,f26926]) ).
thf(f27521,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_332 ),
inference(constrained_superposition,[],[f26681,f26926]) ).
thf(f27523,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_132 ),
inference(constrained_superposition,[],[f26471,f26926]) ).
thf(f27525,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_141 ),
inference(constrained_superposition,[],[f27245,f26926]) ).
thf(f27529,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_320 ),
inference(trivial_inequality_removal,[],[f27520]) ).
thf(f27532,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| spl0_20 ),
inference(trivial_inequality_removal,[],[f27514]) ).
thf(f27536,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f27517]) ).
thf(f27539,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_2
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f27523]) ).
thf(f27540,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_2
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f27521]) ).
thf(f27542,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f27525]) ).
thf(f27543,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_320 ),
inference(forward_subsumption_resolution,[],[f27529,f32]) ).
thf(f27545,plain,
( ( z
= ( s @ ( s @ z ) ) )
| ~ spl0_2
| spl0_20
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f27532,f6434]) ).
thf(f27546,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_2
| ~ spl0_137
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f27536,f26469]) ).
thf(f27548,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f27539,f32]) ).
thf(f27549,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f27540,f32]) ).
thf(f27551,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_133
| ~ spl0_137
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f27542,f27272]) ).
thf(f27552,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_142 ),
inference(avatar_component_clause,[],[f8559]) ).
thf(f27553,plain,
( spl0_420
| ~ spl0_142
| ~ spl0_2
| ~ spl0_320 ),
inference(avatar_split_clause,[],[f27543,f20162,f53,f8559,f25057]) ).
thf(f27554,plain,
( $false
| ~ spl0_2
| spl0_20
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f27545,f32]) ).
thf(f27555,plain,
( ~ spl0_2
| spl0_20
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f27554]) ).
thf(f27556,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_2
| ~ spl0_137
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f27546,f32]) ).
thf(f27558,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| ~ spl0_132
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f27548,f7979]) ).
thf(f27559,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_2
| ~ spl0_136
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f27549,f7979]) ).
thf(f27561,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_2
| ~ spl0_133
| ~ spl0_137
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f27551,f32]) ).
thf(f27562,plain,
( $false
| ~ spl0_2
| ~ spl0_136
| ~ spl0_137
| ~ spl0_209 ),
inference(forward_subsumption_resolution,[],[f27556,f7979]) ).
thf(f27563,plain,
( ~ spl0_2
| ~ spl0_136
| ~ spl0_137
| ~ spl0_209 ),
inference(avatar_contradiction_clause,[],[f27562]) ).
thf(f27566,plain,
( $false
| ~ spl0_2
| ~ spl0_132
| ~ spl0_133
| ~ spl0_136
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f27558,f27272]) ).
thf(f27567,plain,
( ~ spl0_2
| ~ spl0_132
| ~ spl0_133
| ~ spl0_136
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f27566]) ).
thf(f27568,plain,
( $false
| ~ spl0_2
| ~ spl0_136
| spl0_283
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f27559,f23298]) ).
thf(f27569,plain,
( ~ spl0_2
| ~ spl0_136
| spl0_283
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f27568]) ).
thf(f27572,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_133
| ~ spl0_137
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f27561,f109]) ).
thf(f27573,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_133
| ~ spl0_137
| ~ spl0_141 ),
inference(avatar_contradiction_clause,[],[f27572]) ).
thf(f27575,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ X0 )
= ( s @ ( s @ z ) ) ) )
| ~ spl0_265
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f13163,f22250]) ).
thf(f27586,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( $true != $true ) )
| ~ spl0_135 ),
inference(constrained_superposition,[],[f28,f7958]) ).
thf(f27587,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_135 ),
inference(trivial_inequality_removal,[],[f27586]) ).
thf(f27589,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_168 ),
inference(constrained_superposition,[],[f28,f9074]) ).
thf(f27590,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_168 ),
inference(trivial_inequality_removal,[],[f27589]) ).
thf(f27593,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_149 ),
inference(constrained_superposition,[],[f28,f8774]) ).
thf(f27595,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f27593]) ).
thf(f27620,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_248 ),
inference(constrained_superposition,[],[f264,f12196]) ).
thf(f27696,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_248 ),
inference(forward_subsumption_resolution,[],[f27620,f27]) ).
thf(f27704,plain,
( $false
| ~ spl0_248 ),
inference(forward_subsumption_resolution,[],[f27696,f31]) ).
thf(f27705,plain,
~ spl0_248,
inference(avatar_contradiction_clause,[],[f27704]) ).
thf(f27708,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_131
| ~ spl0_363 ),
inference(constrained_superposition,[],[f21681,f7932]) ).
thf(f27709,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131
| ~ spl0_144 ),
inference(constrained_superposition,[],[f8757,f7932]) ).
thf(f27718,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f79,f7932]) ).
thf(f27719,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f75,f7932]) ).
thf(f27721,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f27719]) ).
thf(f27722,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f27718]) ).
thf(f27727,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_131
| ~ spl0_144 ),
inference(trivial_inequality_removal,[],[f27709]) ).
thf(f27729,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_131
| ~ spl0_363 ),
inference(trivial_inequality_removal,[],[f27708]) ).
thf(f27735,plain,
( ~ spl0_191
| ~ spl0_151
| ~ spl0_131
| ~ spl0_144 ),
inference(avatar_split_clause,[],[f27727,f8756,f7931,f8782,f10330]) ).
thf(f27736,plain,
( ~ spl0_191
| ~ spl0_260
| ~ spl0_131
| ~ spl0_363 ),
inference(avatar_split_clause,[],[f27729,f21680,f7931,f13018,f10330]) ).
thf(f27744,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_134
| ~ spl0_181 ),
inference(constrained_superposition,[],[f9621,f7942]) ).
thf(f27765,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_134
| ~ spl0_181 ),
inference(trivial_inequality_removal,[],[f27744]) ).
thf(f27770,plain,
( ~ spl0_173
| ~ spl0_191
| ~ spl0_134
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f27765,f9620,f7941,f10330,f9190]) ).
thf(f27776,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_287
| ~ spl0_328 ),
inference(constrained_superposition,[],[f20414,f15243]) ).
thf(f27794,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_287
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f27776]) ).
thf(f27804,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_134
| ~ spl0_287
| ~ spl0_328 ),
inference(forward_subsumption_resolution,[],[f27794,f7942]) ).
thf(f27806,plain,
( ~ spl0_127
| ~ spl0_134
| ~ spl0_287
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f27804,f20413,f15242,f7941,f7887]) ).
thf(f27836,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_131
| ~ spl0_175 ),
inference(constrained_superposition,[],[f9201,f7932]) ).
thf(f27837,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_175
| ~ spl0_292 ),
inference(constrained_superposition,[],[f9201,f15270]) ).
thf(f27847,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_131
| ~ spl0_175 ),
inference(trivial_inequality_removal,[],[f27836]) ).
thf(f27849,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_175
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f27837]) ).
thf(f27854,plain,
( ~ spl0_191
| ~ spl0_131
| ~ spl0_175 ),
inference(avatar_split_clause,[],[f27847,f9200,f7931,f10330]) ).
thf(f27855,plain,
( ~ spl0_340
| ~ spl0_175
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f27849,f15269,f9200,f20895]) ).
thf(f27858,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_135
| ~ spl0_313 ),
inference(constrained_superposition,[],[f27587,f20139]) ).
thf(f27862,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_135
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f27858]) ).
thf(f27864,plain,
( $false
| ~ spl0_135
| ~ spl0_283
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f27862,f15226]) ).
thf(f27865,plain,
( ~ spl0_135
| ~ spl0_283
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f27864]) ).
thf(f27867,plain,
( spl0_146
| ~ spl0_125
| spl0_142
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f27722,f7931,f8559,f7878,f8763]) ).
thf(f27868,plain,
( spl0_142
| spl0_150
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f27721,f7931,f8778,f8559]) ).
thf(f27882,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_152
| ~ spl0_265
| ~ spl0_397 ),
inference(constrained_superposition,[],[f27575,f8786]) ).
thf(f27886,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_152
| ~ spl0_265
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f27882]) ).
thf(f27888,plain,
( spl0_143
| ~ spl0_152
| ~ spl0_265
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f27886,f22249,f13162,f8785,f8698]) ).
thf(f27897,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f28,f8557]) ).
thf(f27898,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f27897]) ).
thf(f27914,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f43,f7942]) ).
thf(f27932,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f27914]) ).
thf(f27937,plain,
( spl0_158
| spl0_135
| spl0_156
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f27932,f7941,f8800,f7957,f8808]) ).
thf(f27982,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_168
| ~ spl0_400 ),
inference(constrained_superposition,[],[f27590,f23020]) ).
thf(f27985,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_168
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f27982]) ).
thf(f27988,plain,
( $false
| ~ spl0_168
| ~ spl0_299
| ~ spl0_400 ),
inference(forward_subsumption_resolution,[],[f27985,f15299]) ).
thf(f27989,plain,
( ~ spl0_168
| ~ spl0_299
| ~ spl0_400 ),
inference(avatar_contradiction_clause,[],[f27988]) ).
thf(f28002,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f1578,f15243]) ).
thf(f28004,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f164,f15243]) ).
thf(f28014,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f28002]) ).
thf(f28016,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f28004]) ).
thf(f28025,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_141
| ~ spl0_142 ),
inference(constrained_superposition,[],[f27898,f8560]) ).
thf(f28027,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_141
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f28025]) ).
thf(f28030,plain,
( $false
| ~ spl0_4
| ~ spl0_141
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f28027,f109]) ).
thf(f28031,plain,
( ~ spl0_4
| ~ spl0_141
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f28030]) ).
thf(f28051,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_285
| ~ spl0_332 ),
inference(constrained_superposition,[],[f15235,f20637]) ).
thf(f28052,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_285
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f28051]) ).
thf(f28054,plain,
( $false
| ~ spl0_149
| ~ spl0_285
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f28052,f8774]) ).
thf(f28055,plain,
( ~ spl0_149
| ~ spl0_285
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f28054]) ).
thf(f28060,plain,
( spl0_442
| ~ spl0_296
| spl0_168
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f28014,f15242,f9073,f15286,f26300]) ).
thf(f28064,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_283 ),
inference(constrained_superposition,[],[f28,f15226]) ).
thf(f28065,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_283 ),
inference(trivial_inequality_removal,[],[f28064]) ).
thf(f28072,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| ~ spl0_83
| spl0_142 ),
inference(constrained_superposition,[],[f27552,f3045]) ).
thf(f28079,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ~ spl0_83
| spl0_142 ),
inference(trivial_inequality_removal,[],[f28072]) ).
thf(f28080,plain,
( spl0_138
| ~ spl0_83
| spl0_142 ),
inference(avatar_split_clause,[],[f28079,f8559,f3044,f7984]) ).
thf(f28094,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f28,f7939]) ).
thf(f28096,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f28094]) ).
thf(f28151,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f1578,f15270]) ).
thf(f28154,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f79,f15270]) ).
thf(f28160,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f28154]) ).
thf(f28162,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f28151]) ).
thf(f28168,plain,
( ~ spl0_125
| spl0_146
| spl0_213
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f28160,f15269,f11638,f8763,f7878]) ).
thf(f28176,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_283
| ~ spl0_331 ),
inference(constrained_superposition,[],[f28065,f20438]) ).
thf(f28177,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_283
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f28176]) ).
thf(f28179,plain,
( $false
| ~ spl0_14
| ~ spl0_283
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f28177,f177]) ).
thf(f28180,plain,
( ~ spl0_14
| ~ spl0_283
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f28179]) ).
thf(f28181,plain,
( spl0_407
| spl0_97
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f28016,f15242,f4372,f23387]) ).
thf(f28182,plain,
( spl0_338
| spl0_298
| ~ spl0_169
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f28162,f15269,f9136,f15294,f20881]) ).
thf(f28186,plain,
( ~ spl0_153
| spl0_283
| ~ spl0_12
| ~ spl0_284 ),
inference(avatar_split_clause,[],[f27065,f15228,f169,f15225,f8788]) ).
thf(f28202,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_126 ),
inference(constrained_superposition,[],[f28,f7884]) ).
thf(f28203,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_126 ),
inference(trivial_inequality_removal,[],[f28202]) ).
thf(f28213,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_141 ),
inference(constrained_superposition,[],[f28,f8557]) ).
thf(f28214,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f28213]) ).
thf(f28225,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_254 ),
inference(constrained_superposition,[],[f28,f12376]) ).
thf(f28226,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f28225]) ).
thf(f28231,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_156
| ~ spl0_292 ),
inference(constrained_superposition,[],[f8801,f15270]) ).
thf(f28239,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_156
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f28231]) ).
thf(f28247,plain,
( ~ spl0_339
| ~ spl0_156
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f28239,f15269,f8800,f20891]) ).
thf(f28250,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_225
| ~ spl0_397 ),
inference(constrained_superposition,[],[f22250,f11921]) ).
thf(f28252,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_225
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f28250]) ).
thf(f28280,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_126
| ~ spl0_136 ),
inference(constrained_superposition,[],[f28203,f7979]) ).
thf(f28282,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_126
| ~ spl0_136 ),
inference(trivial_inequality_removal,[],[f28280]) ).
thf(f28283,plain,
( $false
| ~ spl0_4
| ~ spl0_126
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f28282,f109]) ).
thf(f28284,plain,
( ~ spl0_4
| ~ spl0_126
| ~ spl0_136 ),
inference(avatar_contradiction_clause,[],[f28283]) ).
thf(f28302,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_226 ),
inference(constrained_superposition,[],[f28,f11925]) ).
thf(f28303,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f28302]) ).
thf(f28326,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_133
| ~ spl0_149 ),
inference(constrained_superposition,[],[f27595,f7939]) ).
thf(f28327,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_149
| ~ spl0_400 ),
inference(constrained_superposition,[],[f27595,f23020]) ).
thf(f28328,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_136
| ~ spl0_149 ),
inference(constrained_superposition,[],[f27595,f7979]) ).
thf(f28329,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_133
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f28326]) ).
thf(f28330,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_149
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f28327]) ).
thf(f28331,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_136
| ~ spl0_149 ),
inference(trivial_inequality_removal,[],[f28328]) ).
thf(f28332,plain,
( $false
| ~ spl0_149
| ~ spl0_299
| ~ spl0_400 ),
inference(forward_subsumption_resolution,[],[f28330,f15299]) ).
thf(f28333,plain,
( ~ spl0_149
| ~ spl0_299
| ~ spl0_400 ),
inference(avatar_contradiction_clause,[],[f28332]) ).
thf(f28341,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f43,f15243]) ).
thf(f28353,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f28341]) ).
thf(f28359,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| spl0_283
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f28353,f23298]) ).
thf(f28361,plain,
( spl0_156
| spl0_402
| spl0_283
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f28359,f15242,f15225,f23293,f8800]) ).
thf(f28375,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_314 ),
inference(constrained_superposition,[],[f79,f20142]) ).
thf(f28376,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_314 ),
inference(constrained_superposition,[],[f75,f20142]) ).
thf(f28382,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f28376]) ).
thf(f28385,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f28375]) ).
thf(f28389,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| spl0_142
| ~ spl0_314 ),
inference(forward_subsumption_resolution,[],[f28382,f27552]) ).
thf(f28390,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_142
| ~ spl0_314 ),
inference(forward_subsumption_resolution,[],[f28385,f27552]) ).
thf(f28392,plain,
( spl0_435
| spl0_142
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f28389,f20141,f8559,f25741]) ).
thf(f28393,plain,
( spl0_413
| ~ spl0_300
| spl0_142
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f28390,f20141,f8559,f15304,f24793]) ).
thf(f28423,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_137
| ~ spl0_355 ),
inference(constrained_superposition,[],[f23313,f21426]) ).
thf(f28432,plain,
( ( ( s @ z )
= ( s @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_137
| ~ spl0_355 ),
inference(trivial_inequality_removal,[],[f28423]) ).
thf(f28436,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| spl0_33
| spl0_137
| ~ spl0_355 ),
inference(forward_subsumption_resolution,[],[f28432,f4312]) ).
thf(f28439,plain,
( spl0_138
| spl0_33
| spl0_137
| ~ spl0_355 ),
inference(avatar_split_clause,[],[f28436,f21425,f7981,f393,f7984]) ).
thf(f28495,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_287
| ~ spl0_345 ),
inference(constrained_superposition,[],[f21067,f15243]) ).
thf(f28496,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_314
| ~ spl0_345 ),
inference(constrained_superposition,[],[f21067,f20142]) ).
thf(f28510,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_287
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f28495]) ).
thf(f28511,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_314
| ~ spl0_345 ),
inference(trivial_inequality_removal,[],[f28496]) ).
thf(f28513,plain,
( ~ spl0_127
| ~ spl0_287
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f28510,f21066,f15242,f7887]) ).
thf(f28514,plain,
( ~ spl0_260
| ~ spl0_314
| ~ spl0_345 ),
inference(avatar_split_clause,[],[f28511,f21066,f20141,f13018]) ).
thf(f28519,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_247
| ~ spl0_254 ),
inference(constrained_superposition,[],[f28226,f12192]) ).
thf(f28523,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_247
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f28519]) ).
thf(f28527,plain,
( $false
| ~ spl0_34
| ~ spl0_247
| ~ spl0_254 ),
inference(forward_subsumption_resolution,[],[f28523,f428]) ).
thf(f28528,plain,
( ~ spl0_34
| ~ spl0_247
| ~ spl0_254 ),
inference(avatar_contradiction_clause,[],[f28527]) ).
thf(f28532,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_133
| ~ spl0_141 ),
inference(constrained_superposition,[],[f28096,f8557]) ).
thf(f28533,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_133
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f28532]) ).
thf(f28566,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_314
| ~ spl0_341 ),
inference(constrained_superposition,[],[f20900,f20142]) ).
thf(f28569,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_341 ),
inference(constrained_superposition,[],[f20900,f90]) ).
thf(f28571,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_341 ),
inference(constrained_superposition,[],[f20900,f35]) ).
thf(f28577,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f28571]) ).
thf(f28581,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_314
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f28566]) ).
thf(f28582,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_341 ),
inference(trivial_inequality_removal,[],[f28569]) ).
thf(f28583,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_283
| ~ spl0_341 ),
inference(forward_subsumption_resolution,[],[f28577,f23298]) ).
thf(f28584,plain,
( ~ spl0_191
| ~ spl0_314
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f28581,f20899,f20141,f10330]) ).
thf(f28585,plain,
( ~ spl0_27
| spl0_221
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f28582,f20899,f11674,f351]) ).
thf(f28586,plain,
( ~ spl0_35
| spl0_283
| ~ spl0_341 ),
inference(avatar_split_clause,[],[f28583,f20899,f15225,f452]) ).
thf(f28597,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_257
| ~ spl0_314 ),
inference(constrained_superposition,[],[f12857,f20142]) ).
thf(f28601,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_257
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f28597]) ).
thf(f28610,plain,
( ~ spl0_339
| ~ spl0_300
| ~ spl0_257
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f28601,f20141,f12856,f15304,f20891]) ).
thf(f28618,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_210
| ~ spl0_226 ),
inference(constrained_superposition,[],[f28303,f11432]) ).
thf(f28623,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_210
| ~ spl0_226 ),
inference(trivial_inequality_removal,[],[f28618]) ).
thf(f28624,plain,
( $false
| ~ spl0_149
| ~ spl0_210
| ~ spl0_226 ),
inference(forward_subsumption_resolution,[],[f28623,f8774]) ).
thf(f28625,plain,
( ~ spl0_149
| ~ spl0_210
| ~ spl0_226 ),
inference(avatar_contradiction_clause,[],[f28624]) ).
thf(f28715,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f90]) ).
thf(f28717,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f263]) ).
thf(f28719,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_292 ),
inference(constrained_superposition,[],[f51,f15270]) ).
thf(f28720,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_211 ),
inference(constrained_superposition,[],[f51,f11435]) ).
thf(f28722,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_314 ),
inference(constrained_superposition,[],[f51,f20142]) ).
thf(f28725,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ z ) @ z )
= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true ) )
| ~ spl0_1 ),
inference(constrained_superposition,[],[f51,f91]) ).
thf(f28727,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ~ spl0_1
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f28722]) ).
thf(f28734,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f28715]) ).
thf(f28737,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ X0 ) ) ) )
| ( ( r @ ( s @ z ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ X0 ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ X0 ) ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f28725]) ).
thf(f28738,plain,
( ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_211 ),
inference(trivial_inequality_removal,[],[f28720]) ).
thf(f28740,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) ) )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f28717]) ).
thf(f28741,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f28719]) ).
thf(f28742,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_1
| spl0_283
| ~ spl0_314 ),
inference(forward_subsumption_resolution,[],[f28727,f23298]) ).
thf(f28743,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_1
| spl0_137
| ~ spl0_211 ),
inference(forward_subsumption_resolution,[],[f28738,f23313]) ).
thf(f28744,plain,
( ~ spl0_37
| spl0_36
| ~ spl0_35
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f28740,f50,f452,f455,f458]) ).
thf(f28745,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| spl0_137
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f28741,f23313]) ).
thf(f28746,plain,
( ~ spl0_151
| ~ spl0_157
| ~ spl0_1
| spl0_283
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f28742,f20141,f15225,f50,f8803,f8782]) ).
thf(f28747,plain,
( ~ spl0_236
| ~ spl0_231
| ~ spl0_1
| spl0_137
| ~ spl0_211 ),
inference(avatar_split_clause,[],[f28743,f11434,f7981,f50,f11945,f11964]) ).
thf(f28748,plain,
( ~ spl0_339
| ~ spl0_300
| ~ spl0_1
| spl0_137
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f28745,f15269,f7981,f50,f15304,f20891]) ).
thf(f28749,plain,
( ~ spl0_20
| ~ spl0_136
| ~ spl0_149 ),
inference(avatar_split_clause,[],[f28331,f8773,f7978,f326]) ).
thf(f28750,plain,
( ~ spl0_97
| ~ spl0_133
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f28533,f8556,f7938,f4372]) ).
thf(f28753,plain,
( $false
| ~ spl0_225
| ~ spl0_230
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f11940,f28252]) ).
thf(f28754,plain,
( ~ spl0_225
| ~ spl0_230
| ~ spl0_397 ),
inference(avatar_contradiction_clause,[],[f28753]) ).
thf(f28757,plain,
( $false
| ~ spl0_133
| ~ spl0_145
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f8760,f28329]) ).
thf(f28758,plain,
( ~ spl0_133
| ~ spl0_145
| ~ spl0_149 ),
inference(avatar_contradiction_clause,[],[f28757]) ).
thf(f28775,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_213
| ~ spl0_219 ),
inference(constrained_superposition,[],[f11666,f11639]) ).
thf(f28776,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f28,f11639]) ).
thf(f28777,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_213
| ~ spl0_219 ),
inference(trivial_inequality_removal,[],[f28775]) ).
thf(f28778,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f28776]) ).
thf(f28812,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_132
| ~ spl0_141 ),
inference(constrained_superposition,[],[f28214,f7935]) ).
thf(f28816,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_132
| ~ spl0_141 ),
inference(trivial_inequality_removal,[],[f28812]) ).
thf(f28819,plain,
( ~ spl0_126
| ~ spl0_132
| ~ spl0_141 ),
inference(avatar_split_clause,[],[f28816,f8556,f7934,f7883]) ).
thf(f28896,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_317
| ~ spl0_413 ),
inference(constrained_superposition,[],[f24794,f20153]) ).
thf(f28912,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_317
| ~ spl0_413 ),
inference(trivial_inequality_removal,[],[f28896]) ).
thf(f28918,plain,
( ~ spl0_151
| ~ spl0_157
| ~ spl0_317
| ~ spl0_413 ),
inference(avatar_split_clause,[],[f28912,f24793,f20152,f8803,f8782]) ).
thf(f28921,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_209 ),
inference(constrained_superposition,[],[f28,f11428]) ).
thf(f28922,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_209 ),
inference(trivial_inequality_removal,[],[f28921]) ).
thf(f28969,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_258 ),
inference(constrained_superposition,[],[f12864,f263]) ).
thf(f28983,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_258 ),
inference(trivial_inequality_removal,[],[f28969]) ).
thf(f29006,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ~ spl0_274 ),
inference(constrained_superposition,[],[f14327,f90]) ).
thf(f29014,plain,
( ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_274 ),
inference(trivial_inequality_removal,[],[f29006]) ).
thf(f29089,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_325 ),
inference(constrained_superposition,[],[f20401,f90]) ).
thf(f29101,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_325 ),
inference(trivial_inequality_removal,[],[f29089]) ).
thf(f29102,plain,
( spl0_221
| ~ spl0_27
| ~ spl0_260
| ~ spl0_325 ),
inference(avatar_split_clause,[],[f29101,f20400,f13018,f351,f11674]) ).
thf(f29103,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ( $true != $true )
| ~ spl0_221
| ~ spl0_397 ),
inference(constrained_superposition,[],[f22250,f11675]) ).
thf(f29106,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
!= $true )
| ~ spl0_221
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f29103]) ).
thf(f29107,plain,
( $false
| ~ spl0_221
| ~ spl0_283
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f29106,f15226]) ).
thf(f29108,plain,
( ~ spl0_221
| ~ spl0_283
| ~ spl0_397 ),
inference(avatar_contradiction_clause,[],[f29107]) ).
thf(f29109,plain,
( ~ spl0_4
| ~ spl0_213
| ~ spl0_219 ),
inference(avatar_split_clause,[],[f28777,f11665,f11638,f108]) ).
thf(f29111,plain,
( ~ spl0_129
| spl0_126
| ~ spl0_12
| ~ spl0_274 ),
inference(avatar_split_clause,[],[f29014,f14326,f169,f7883,f7898]) ).
thf(f29156,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_209
| ~ spl0_254 ),
inference(constrained_superposition,[],[f28922,f12376]) ).
thf(f29159,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_209
| ~ spl0_254 ),
inference(trivial_inequality_removal,[],[f29156]) ).
thf(f29177,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f75,f15243]) ).
thf(f29181,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true ) )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f29177]) ).
thf(f29190,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_209
| ~ spl0_254
| ~ spl0_287 ),
inference(forward_subsumption_resolution,[],[f29181,f29159]) ).
thf(f29193,plain,
( spl0_401
| ~ spl0_209
| ~ spl0_254
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f29190,f15242,f12375,f11427,f23196]) ).
thf(f29232,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_313 ),
inference(constrained_superposition,[],[f28,f20139]) ).
thf(f29234,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f29232]) ).
thf(f29235,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_213
| ~ spl0_318 ),
inference(constrained_superposition,[],[f28778,f20156]) ).
thf(f29238,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_213
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f29235]) ).
thf(f29244,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_211
| ~ spl0_268 ),
inference(constrained_superposition,[],[f13782,f11435]) ).
thf(f29260,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_211
| ~ spl0_268 ),
inference(trivial_inequality_removal,[],[f29244]) ).
thf(f29265,plain,
( ~ spl0_153
| ~ spl0_125
| ~ spl0_211
| ~ spl0_268 ),
inference(avatar_split_clause,[],[f29260,f13781,f11434,f7878,f8788]) ).
thf(f29304,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_313 ),
inference(constrained_superposition,[],[f29234,f11639]) ).
thf(f29306,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_213
| ~ spl0_313 ),
inference(trivial_inequality_removal,[],[f29304]) ).
thf(f29329,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_210 ),
inference(constrained_superposition,[],[f28,f11432]) ).
thf(f29330,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_210 ),
inference(trivial_inequality_removal,[],[f29329]) ).
thf(f29332,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_158 ),
inference(constrained_superposition,[],[f8809,f263]) ).
thf(f29342,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_158 ),
inference(trivial_inequality_removal,[],[f29332]) ).
thf(f29351,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_286 ),
inference(constrained_superposition,[],[f15239,f264]) ).
thf(f29356,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_286 ),
inference(trivial_inequality_removal,[],[f29351]) ).
thf(f29363,plain,
( spl0_298
| ~ spl0_27
| ~ spl0_28
| ~ spl0_286 ),
inference(avatar_split_clause,[],[f29356,f15238,f354,f351,f15294]) ).
thf(f29395,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_284 ),
inference(constrained_superposition,[],[f15229,f263]) ).
thf(f29402,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_284 ),
inference(trivial_inequality_removal,[],[f29395]) ).
thf(f29410,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_284
| spl0_299 ),
inference(forward_subsumption_resolution,[],[f29402,f20285]) ).
thf(f29411,plain,
( ~ spl0_28
| ~ spl0_178
| ~ spl0_284
| spl0_299 ),
inference(avatar_split_clause,[],[f29410,f15298,f15228,f9475,f354]) ).
thf(f29425,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f15279,f35]) ).
thf(f29432,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f29425]) ).
thf(f29482,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_114
| spl0_299 ),
inference(constrained_superposition,[],[f20285,f6452]) ).
thf(f29494,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ z ) )
| ~ spl0_114
| spl0_299 ),
inference(trivial_inequality_removal,[],[f29482]) ).
thf(f29497,plain,
( $false
| ~ spl0_114
| spl0_140
| spl0_299 ),
inference(forward_subsumption_resolution,[],[f29494,f11364]) ).
thf(f29498,plain,
( ~ spl0_114
| spl0_140
| spl0_299 ),
inference(avatar_contradiction_clause,[],[f29497]) ).
thf(f29535,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_387 ),
inference(constrained_superposition,[],[f21879,f264]) ).
thf(f29536,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_387 ),
inference(constrained_superposition,[],[f21879,f91]) ).
thf(f29540,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_387 ),
inference(duplicate_literal_removal,[],[f29535]) ).
thf(f29541,plain,
( ! [X0: $i] :
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_387 ),
inference(trivial_inequality_removal,[],[f29540]) ).
thf(f29544,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_387 ),
inference(trivial_inequality_removal,[],[f29536]) ).
thf(f29546,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_171
| ~ spl0_387 ),
inference(forward_subsumption_resolution,[],[f29541,f11645]) ).
thf(f29548,plain,
( spl0_363
| spl0_141
| ~ spl0_387 ),
inference(avatar_split_clause,[],[f29544,f21878,f8556,f21680]) ).
thf(f29549,plain,
( spl0_175
| spl0_171
| ~ spl0_387 ),
inference(avatar_split_clause,[],[f29546,f21878,f9142,f9200]) ).
thf(f29584,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_338 ),
inference(constrained_superposition,[],[f20882,f264]) ).
thf(f29595,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_338 ),
inference(trivial_inequality_removal,[],[f29584]) ).
thf(f29597,plain,
( spl0_298
| spl0_181
| ~ spl0_338 ),
inference(avatar_split_clause,[],[f29595,f20881,f9620,f15294]) ).
thf(f29604,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_442 ),
inference(constrained_superposition,[],[f26301,f91]) ).
thf(f29608,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_442 ),
inference(trivial_inequality_removal,[],[f29604]) ).
thf(f29614,plain,
( spl0_189
| ~ spl0_28
| spl0_331
| ~ spl0_442 ),
inference(avatar_split_clause,[],[f29608,f26300,f20437,f354,f10322]) ).
thf(f29664,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_412 ),
inference(constrained_superposition,[],[f24259,f264]) ).
thf(f29671,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_412 ),
inference(trivial_inequality_removal,[],[f29664]) ).
thf(f29676,definition,
( spl0_445
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_445])],[avatar_definition]) ).
thf(f29677,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_445 ),
inference(avatar_component_clause,[],[f29676]) ).
thf(f29678,plain,
( spl0_298
| spl0_445
| ~ spl0_412 ),
inference(avatar_split_clause,[],[f29671,f24258,f29676,f15294]) ).
thf(f29700,definition,
( spl0_447
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_447])],[avatar_definition]) ).
thf(f29701,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_447 ),
inference(avatar_component_clause,[],[f29700]) ).
thf(f29741,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_411 ),
inference(constrained_superposition,[],[f24141,f15270]) ).
thf(f29751,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_411 ),
inference(duplicate_literal_removal,[],[f29741]) ).
thf(f29752,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_411 ),
inference(trivial_inequality_removal,[],[f29751]) ).
thf(f29754,plain,
( spl0_259
| ~ spl0_125
| ~ spl0_292
| ~ spl0_411 ),
inference(avatar_split_clause,[],[f29752,f24140,f15269,f7878,f12868]) ).
thf(f29782,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_329 ),
inference(constrained_superposition,[],[f20418,f36]) ).
thf(f29790,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_329 ),
inference(trivial_inequality_removal,[],[f29782]) ).
thf(f29808,definition,
( spl0_448
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_448])],[avatar_definition]) ).
thf(f29809,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_448 ),
inference(avatar_component_clause,[],[f29808]) ).
thf(f29819,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_435 ),
inference(constrained_superposition,[],[f25742,f15270]) ).
thf(f29828,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_292
| ~ spl0_435 ),
inference(trivial_inequality_removal,[],[f29819]) ).
thf(f29837,definition,
( spl0_451
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_451])],[avatar_definition]) ).
thf(f29838,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_451 ),
inference(avatar_component_clause,[],[f29837]) ).
thf(f29839,plain,
( ~ spl0_125
| spl0_451
| ~ spl0_292
| ~ spl0_435 ),
inference(avatar_split_clause,[],[f29828,f25741,f15269,f29837,f7878]) ).
thf(f29860,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_424 ),
inference(constrained_superposition,[],[f25072,f91]) ).
thf(f29866,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_424 ),
inference(trivial_inequality_removal,[],[f29860]) ).
thf(f29869,plain,
( spl0_447
| spl0_434
| ~ spl0_28
| ~ spl0_424 ),
inference(avatar_split_clause,[],[f29866,f25071,f354,f25697,f29700]) ).
thf(f29874,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ~ spl0_447 ),
inference(constrained_superposition,[],[f29701,f264]) ).
thf(f29878,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_447 ),
inference(trivial_inequality_removal,[],[f29874]) ).
thf(f29884,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_171
| ~ spl0_447 ),
inference(forward_subsumption_resolution,[],[f29878,f11645]) ).
thf(f29885,plain,
( ~ spl0_27
| spl0_171
| ~ spl0_447 ),
inference(avatar_split_clause,[],[f29884,f29700,f9142,f351]) ).
thf(f29891,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_295 ),
inference(constrained_superposition,[],[f15283,f264]) ).
thf(f29902,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f29891]) ).
thf(f29903,plain,
( ~ spl0_27
| spl0_184
| spl0_298
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f29902,f15282,f15294,f9709,f351]) ).
thf(f29908,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_184
| ~ spl0_287 ),
inference(constrained_superposition,[],[f9710,f15243]) ).
thf(f29916,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_184
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f29908]) ).
thf(f29920,plain,
( ~ spl0_324
| ~ spl0_340
| ~ spl0_184
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f29916,f15242,f9709,f20895,f20395]) ).
thf(f29922,plain,
( spl0_283
| ~ spl0_35
| ~ spl0_153
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f29432,f15278,f8788,f452,f15225]) ).
thf(f29923,plain,
( ~ spl0_35
| ~ spl0_28
| spl0_145
| ~ spl0_258 ),
inference(avatar_split_clause,[],[f28983,f12863,f8759,f354,f452]) ).
thf(f29924,plain,
( $false
| ~ spl0_135
| ~ spl0_213
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f7958,f29238]) ).
thf(f29925,plain,
( ~ spl0_135
| ~ spl0_213
| ~ spl0_318 ),
inference(avatar_contradiction_clause,[],[f29924]) ).
thf(f29926,plain,
( ~ spl0_142
| ~ spl0_213
| ~ spl0_313 ),
inference(avatar_split_clause,[],[f29306,f20138,f11638,f8559]) ).
thf(f29929,definition,
( spl0_452
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_452])],[avatar_definition]) ).
thf(f29930,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_452 ),
inference(avatar_component_clause,[],[f29929]) ).
thf(f29931,plain,
( ~ spl0_153
| spl0_213
| spl0_452
| ~ spl0_329 ),
inference(avatar_split_clause,[],[f29790,f20417,f29929,f11638,f8788]) ).
thf(f29961,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_152
| ~ spl0_397 ),
inference(constrained_superposition,[],[f22250,f8786]) ).
thf(f29964,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_152
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f29961]) ).
thf(f29989,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_313
| ~ spl0_331 ),
inference(constrained_superposition,[],[f29234,f20438]) ).
thf(f29991,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_313
| ~ spl0_331 ),
inference(trivial_inequality_removal,[],[f29989]) ).
thf(f29993,plain,
( $false
| ~ spl0_141
| ~ spl0_313
| ~ spl0_331 ),
inference(forward_subsumption_resolution,[],[f29991,f8557]) ).
thf(f29994,plain,
( ~ spl0_141
| ~ spl0_313
| ~ spl0_331 ),
inference(avatar_contradiction_clause,[],[f29993]) ).
thf(f29998,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f321,f7932]) ).
thf(f30014,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f29998]) ).
thf(f30023,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_131
| spl0_149 ),
inference(forward_subsumption_resolution,[],[f30014,f20749]) ).
thf(f30026,plain,
( spl0_147
| spl0_148
| ~ spl0_131
| spl0_149 ),
inference(avatar_split_clause,[],[f30023,f8773,f7931,f8770,f8767]) ).
thf(f30090,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_313
| ~ spl0_332 ),
inference(constrained_superposition,[],[f29234,f20637]) ).
thf(f30092,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_313
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f30090]) ).
thf(f30121,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_283
| ~ spl0_385 ),
inference(constrained_superposition,[],[f23298,f21820]) ).
thf(f30123,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_283
| ~ spl0_385 ),
inference(trivial_inequality_removal,[],[f30121]) ).
thf(f30126,plain,
( spl0_222
| spl0_334
| spl0_283
| ~ spl0_385 ),
inference(avatar_split_clause,[],[f30123,f21819,f15225,f20780,f11681]) ).
thf(f30134,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_1
| ~ spl0_317 ),
inference(constrained_superposition,[],[f51,f20153]) ).
thf(f30141,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f79,f20153]) ).
thf(f30149,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f30134]) ).
thf(f30157,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f30141]) ).
thf(f30161,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_152
| ~ spl0_317
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f30149,f29964]) ).
thf(f30163,plain,
( spl0_257
| spl0_213
| ~ spl0_151
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f30157,f20152,f8782,f11638,f12856]) ).
thf(f30165,plain,
( ~ spl0_300
| ~ spl0_339
| ~ spl0_1
| ~ spl0_152
| ~ spl0_317
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f30161,f22249,f20152,f8785,f50,f20891,f15304]) ).
thf(f30182,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_219
| ~ spl0_318 ),
inference(constrained_superposition,[],[f11666,f20156]) ).
thf(f30185,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_219
| ~ spl0_318 ),
inference(trivial_inequality_removal,[],[f30182]) ).
thf(f30186,plain,
( $false
| ~ spl0_152
| ~ spl0_219
| ~ spl0_318 ),
inference(forward_subsumption_resolution,[],[f30185,f8786]) ).
thf(f30187,plain,
( ~ spl0_152
| ~ spl0_219
| ~ spl0_318 ),
inference(avatar_contradiction_clause,[],[f30186]) ).
thf(f30327,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl0_448 ),
inference(constrained_superposition,[],[f29809,f264]) ).
thf(f30333,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_448 ),
inference(trivial_inequality_removal,[],[f30327]) ).
thf(f30338,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_256
| ~ spl0_400 ),
inference(constrained_superposition,[],[f12435,f23020]) ).
thf(f30339,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_256
| ~ spl0_400 ),
inference(trivial_inequality_removal,[],[f30338]) ).
thf(f30399,plain,
( ! [X0: $i] :
( ( ( s @ X0 )
!= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= X0 ) )
| ~ spl0_256
| ~ spl0_400 ),
inference(constrained_superposition,[],[f26,f30339]) ).
thf(f30451,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_256
| ~ spl0_400 ),
inference(equality_resolution,[],[f30399]) ).
thf(f30452,plain,
( spl0_223
| ~ spl0_256
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f30451,f23019,f12434,f11864]) ).
thf(f30457,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_223
| ~ spl0_313 ),
inference(constrained_superposition,[],[f20139,f11865]) ).
thf(f30571,plain,
( $false
| ~ spl0_223
| ~ spl0_313 ),
inference(forward_subsumption_resolution,[],[f30457,f31]) ).
thf(f30572,plain,
( ~ spl0_223
| ~ spl0_313 ),
inference(avatar_contradiction_clause,[],[f30571]) ).
thf(f30609,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_47
| ~ spl0_208 ),
inference(constrained_superposition,[],[f663,f11425]) ).
thf(f30612,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_1
| ~ spl0_208 ),
inference(constrained_superposition,[],[f51,f11425]) ).
thf(f30615,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f1578,f11425]) ).
thf(f30622,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f30615]) ).
thf(f30629,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_47
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f30609]) ).
thf(f30634,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f30612]) ).
thf(f30636,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_168
| ~ spl0_208 ),
inference(forward_subsumption_resolution,[],[f30622,f10172]) ).
thf(f30639,plain,
( spl0_239
| ~ spl0_238
| spl0_168
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f30636,f11424,f9073,f11973,f11976]) ).
thf(f30731,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_242 ),
inference(constrained_superposition,[],[f28,f12022]) ).
thf(f30734,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f30731]) ).
thf(f30735,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_210
| ~ spl0_242 ),
inference(constrained_superposition,[],[f30734,f11432]) ).
thf(f30737,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_210
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f30735]) ).
thf(f30791,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_280 ),
inference(constrained_superposition,[],[f14782,f263]) ).
thf(f30793,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_280 ),
inference(constrained_superposition,[],[f14782,f90]) ).
thf(f30795,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_280 ),
inference(constrained_superposition,[],[f14782,f35]) ).
thf(f30802,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f30795]) ).
thf(f30803,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f30791]) ).
thf(f30806,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_280 ),
inference(trivial_inequality_removal,[],[f30793]) ).
thf(f30859,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_131
| ~ spl0_177 ),
inference(constrained_superposition,[],[f9399,f7932]) ).
thf(f30860,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_177 ),
inference(constrained_superposition,[],[f9399,f264]) ).
thf(f30870,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f30859]) ).
thf(f30871,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_177 ),
inference(trivial_inequality_removal,[],[f30860]) ).
thf(f30873,definition,
( spl0_454
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_454])],[avatar_definition]) ).
thf(f30874,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_454 ),
inference(avatar_component_clause,[],[f30873]) ).
thf(f30875,plain,
( ~ spl0_129
| spl0_454
| ~ spl0_131
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f30870,f9398,f7931,f30873,f7898]) ).
thf(f30877,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_454 ),
inference(constrained_superposition,[],[f30874,f263]) ).
thf(f30889,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_454 ),
inference(trivial_inequality_removal,[],[f30877]) ).
thf(f30892,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_149
| ~ spl0_454 ),
inference(forward_subsumption_resolution,[],[f30889,f20749]) ).
thf(f30893,plain,
( ~ spl0_169
| ~ spl0_27
| spl0_149
| ~ spl0_454 ),
inference(avatar_split_clause,[],[f30892,f30873,f8773,f351,f9136]) ).
thf(f30894,plain,
( ~ spl0_28
| spl0_171
| ~ spl0_35
| ~ spl0_448 ),
inference(avatar_split_clause,[],[f30333,f29808,f452,f9142,f354]) ).
thf(f30895,plain,
( ~ spl0_127
| ~ spl0_129
| spl0_225
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f30806,f14781,f11920,f7898,f7887]) ).
thf(f30897,definition,
( spl0_455
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_455])],[avatar_definition]) ).
thf(f30898,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_455 ),
inference(avatar_component_clause,[],[f30897]) ).
thf(f30899,plain,
( spl0_171
| ~ spl0_27
| spl0_455
| ~ spl0_177 ),
inference(avatar_split_clause,[],[f30871,f9398,f30897,f351,f9142]) ).
thf(f30903,plain,
( $false
| ~ spl0_132
| ~ spl0_313
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f7935,f30092]) ).
thf(f30904,plain,
( ~ spl0_132
| ~ spl0_313
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f30903]) ).
thf(f31014,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f321,f15270]) ).
thf(f31015,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f102,f15270]) ).
thf(f31018,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true ) )
| ~ spl0_292
| ~ spl0_295 ),
inference(constrained_superposition,[],[f15283,f15270]) ).
thf(f31024,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f75,f15270]) ).
thf(f31030,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f31014]) ).
thf(f31033,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f31024]) ).
thf(f31034,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_292
| ~ spl0_295 ),
inference(duplicate_literal_removal,[],[f31018]) ).
thf(f31035,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_292
| ~ spl0_295 ),
inference(trivial_inequality_removal,[],[f31034]) ).
thf(f31039,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f31015]) ).
thf(f31040,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| spl0_149
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f31030,f20749]) ).
thf(f31041,plain,
( spl0_411
| spl0_213
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f31033,f15269,f11638,f24140]) ).
thf(f31042,plain,
( spl0_189
| ~ spl0_129
| ~ spl0_292
| ~ spl0_295 ),
inference(avatar_split_clause,[],[f31035,f15282,f15269,f7898,f10322]) ).
thf(f31043,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| spl0_126
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f31039,f7901]) ).
thf(f31044,plain,
( spl0_341
| spl0_294
| spl0_149
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f31040,f15269,f8773,f15278,f20899]) ).
thf(f31045,plain,
( spl0_284
| spl0_345
| spl0_126
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f31043,f15269,f7883,f21066,f15228]) ).
thf(f31046,plain,
( ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_158
| ~ spl0_317 ),
inference(constrained_superposition,[],[f8809,f20153]) ).
thf(f31057,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f75,f20153]) ).
thf(f31063,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f31057]) ).
thf(f31069,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_158
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f31046]) ).
thf(f31073,plain,
( spl0_213
| spl0_410
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f31063,f20152,f24135,f11638]) ).
thf(f31075,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ~ spl0_158
| ~ spl0_292
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f31069,f15270]) ).
thf(f31078,plain,
( ~ spl0_339
| ~ spl0_158
| ~ spl0_292
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f31075,f20152,f15269,f8808,f20891]) ).
thf(f31142,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_237 ),
inference(constrained_superposition,[],[f11970,f264]) ).
thf(f31146,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_237 ),
inference(trivial_inequality_removal,[],[f31142]) ).
thf(f31153,plain,
( ~ spl0_27
| ~ spl0_28
| spl0_247
| ~ spl0_237 ),
inference(avatar_split_clause,[],[f31146,f11969,f12191,f354,f351]) ).
thf(f31191,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_294 ),
inference(constrained_superposition,[],[f15279,f90]) ).
thf(f31197,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_294 ),
inference(trivial_inequality_removal,[],[f31191]) ).
thf(f31208,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_208 ),
inference(constrained_superposition,[],[f136,f11425]) ).
thf(f31226,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ~ spl0_7
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f31208]) ).
thf(f31267,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_410 ),
inference(constrained_superposition,[],[f24136,f91]) ).
thf(f31276,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_410 ),
inference(trivial_inequality_removal,[],[f31267]) ).
thf(f31281,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_292
| ~ spl0_407 ),
inference(constrained_superposition,[],[f23388,f15270]) ).
thf(f31290,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_292
| ~ spl0_407 ),
inference(trivial_inequality_removal,[],[f31281]) ).
thf(f31294,plain,
( ~ spl0_129
| spl0_454
| ~ spl0_292
| ~ spl0_407 ),
inference(avatar_split_clause,[],[f31290,f23387,f15269,f30873,f7898]) ).
thf(f31298,plain,
( ~ spl0_12
| spl0_331
| spl0_448
| ~ spl0_410 ),
inference(avatar_split_clause,[],[f31276,f24135,f29808,f20437,f169]) ).
thf(f31302,plain,
( spl0_145
| ~ spl0_37
| ~ spl0_178
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f29342,f8808,f9475,f458,f8759]) ).
thf(f31304,plain,
( ~ spl0_125
| spl0_230
| ~ spl0_153
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f30802,f14781,f8788,f11939,f7878]) ).
thf(f31306,plain,
( spl0_226
| ~ spl0_169
| ~ spl0_178
| ~ spl0_47
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f30629,f11424,f662,f9475,f9136,f11924]) ).
thf(f31307,plain,
( ~ spl0_153
| ~ spl0_125
| spl0_230
| ~ spl0_1
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f30634,f11424,f50,f11939,f7878,f8788]) ).
thf(f31308,plain,
( ~ spl0_127
| ~ spl0_129
| spl0_225
| ~ spl0_7
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f31226,f11424,f135,f11920,f7898,f7887]) ).
thf(f31309,plain,
( spl0_226
| ~ spl0_169
| ~ spl0_178
| ~ spl0_280 ),
inference(avatar_split_clause,[],[f30803,f14781,f9475,f9136,f11924]) ).
thf(f31310,plain,
( spl0_221
| ~ spl0_27
| ~ spl0_127
| ~ spl0_294 ),
inference(avatar_split_clause,[],[f31197,f15278,f7887,f351,f11674]) ).
thf(f31312,plain,
( ~ spl0_126
| ~ spl0_210
| ~ spl0_242 ),
inference(avatar_split_clause,[],[f30737,f12021,f11431,f7883]) ).
thf(f31368,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_230 ),
inference(constrained_superposition,[],[f28,f11940]) ).
thf(f31369,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_230 ),
inference(trivial_inequality_removal,[],[f31368]) ).
thf(f31411,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ~ spl0_131
| ~ spl0_257 ),
inference(constrained_superposition,[],[f12857,f7932]) ).
thf(f31432,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_131
| ~ spl0_257 ),
inference(trivial_inequality_removal,[],[f31411]) ).
thf(f31435,plain,
( ~ spl0_153
| ~ spl0_125
| ~ spl0_131
| ~ spl0_257 ),
inference(avatar_split_clause,[],[f31432,f12856,f7931,f7878,f8788]) ).
thf(f31441,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f28,f8560]) ).
thf(f31442,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f31441]) ).
thf(f31451,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_134
| ~ spl0_455 ),
inference(constrained_superposition,[],[f30898,f7942]) ).
thf(f31452,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_134
| ~ spl0_184 ),
inference(constrained_superposition,[],[f9710,f7942]) ).
thf(f31467,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_134
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f31452]) ).
thf(f31472,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_134
| ~ spl0_455 ),
inference(trivial_inequality_removal,[],[f31451]) ).
thf(f31475,plain,
( ~ spl0_155
| ~ spl0_191
| ~ spl0_134
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f31467,f9709,f7941,f10330,f8797]) ).
thf(f31477,plain,
( ~ spl0_173
| ~ spl0_155
| ~ spl0_134
| ~ spl0_455 ),
inference(avatar_split_clause,[],[f31472,f30897,f7941,f8797,f9190]) ).
thf(f31481,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f28,f9143]) ).
thf(f31482,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f31481]) ).
thf(f31499,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_131
| ~ spl0_452 ),
inference(constrained_superposition,[],[f29930,f7932]) ).
thf(f31506,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_131
| ~ spl0_452 ),
inference(trivial_inequality_removal,[],[f31499]) ).
thf(f31511,plain,
( ~ spl0_125
| ~ spl0_131
| ~ spl0_452 ),
inference(avatar_split_clause,[],[f31506,f29929,f7931,f7878]) ).
thf(f31524,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_219
| ~ spl0_332 ),
inference(constrained_superposition,[],[f11666,f20637]) ).
thf(f31526,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_332 ),
inference(constrained_superposition,[],[f28,f20637]) ).
thf(f31527,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_219
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f31524]) ).
thf(f31528,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f31526]) ).
thf(f31530,plain,
( $false
| ~ spl0_126
| ~ spl0_219
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f31527,f7884]) ).
thf(f31531,plain,
( ~ spl0_126
| ~ spl0_219
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f31530]) ).
thf(f31707,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_386
| ~ spl0_400 ),
inference(constrained_superposition,[],[f23020,f21837]) ).
thf(f31916,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ~ spl0_386
| ~ spl0_400 ),
inference(forward_subsumption_resolution,[],[f31707,f31]) ).
thf(f31921,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
!= ( s @ z ) )
| spl0_138 ),
inference(avatar_component_clause,[],[f7984]) ).
thf(f31927,definition,
( spl0_456
<=> ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_456])],[avatar_definition]) ).
thf(f31928,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_456 ),
inference(avatar_component_clause,[],[f31927]) ).
thf(f31943,plain,
( ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_283
| ~ spl0_386
| ~ spl0_400 ),
inference(forward_subsumption_resolution,[],[f31916,f23298]) ).
thf(f31953,plain,
( spl0_222
| spl0_283
| ~ spl0_386
| ~ spl0_400 ),
inference(avatar_split_clause,[],[f31943,f23019,f21836,f15225,f11681]) ).
thf(f31955,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| spl0_138 ),
inference(extensionality_resolution,[],[f265,f31921]) ).
thf(f31956,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_138 ),
inference(extensionality_resolution,[],[f265,f31921]) ).
thf(f31964,definition,
( spl0_457
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_457])],[avatar_definition]) ).
thf(f31965,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_457 ),
inference(avatar_component_clause,[],[f31964]) ).
thf(f31967,definition,
( spl0_458
<=> ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl0_458])],[avatar_definition]) ).
thf(f31968,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ~ spl0_458 ),
inference(avatar_component_clause,[],[f31967]) ).
thf(f31969,plain,
( spl0_457
| spl0_458
| spl0_138 ),
inference(avatar_split_clause,[],[f31956,f7984,f31967,f31964]) ).
thf(f31971,definition,
( spl0_459
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_459])],[avatar_definition]) ).
thf(f31972,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_459 ),
inference(avatar_component_clause,[],[f31971]) ).
thf(f31974,definition,
( spl0_460
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_460])],[avatar_definition]) ).
thf(f31975,plain,
( ( $true
= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_460 ),
inference(avatar_component_clause,[],[f31974]) ).
thf(f31976,plain,
( spl0_459
| spl0_460
| spl0_138 ),
inference(avatar_split_clause,[],[f31955,f7984,f31974,f31971]) ).
thf(f31989,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_142
| ~ spl0_171 ),
inference(constrained_superposition,[],[f31482,f8560]) ).
thf(f31993,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_142
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f31989]) ).
thf(f31994,plain,
( $false
| ~ spl0_20
| ~ spl0_142
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[],[f31993,f327]) ).
thf(f31995,plain,
( ~ spl0_20
| ~ spl0_142
| ~ spl0_171 ),
inference(avatar_contradiction_clause,[],[f31994]) ).
thf(f32012,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_132 ),
inference(constrained_superposition,[],[f28,f7935]) ).
thf(f32013,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_132 ),
inference(trivial_inequality_removal,[],[f32012]) ).
thf(f32014,plain,
( spl0_456
| ~ spl0_132 ),
inference(avatar_split_clause,[],[f32013,f7934,f31927]) ).
thf(f32015,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_133 ),
inference(constrained_superposition,[],[f28,f7939]) ).
thf(f32016,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_133 ),
inference(trivial_inequality_removal,[],[f32015]) ).
thf(f32017,plain,
( spl0_456
| ~ spl0_133 ),
inference(avatar_split_clause,[],[f32016,f7938,f31927]) ).
thf(f32068,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_314 ),
inference(constrained_superposition,[],[f164,f20142]) ).
thf(f32086,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f32068]) ).
thf(f32088,plain,
( spl0_141
| spl0_326
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f32086,f20141,f20405,f8556]) ).
thf(f32091,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f321,f20153]) ).
thf(f32094,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_317 ),
inference(constrained_superposition,[],[f51,f20153]) ).
thf(f32095,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f43,f20153]) ).
thf(f32105,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f32091]) ).
thf(f32114,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_1
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f32094]) ).
thf(f32118,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f32095]) ).
thf(f32119,plain,
( spl0_341
| spl0_145
| spl0_325
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f32105,f20152,f20400,f8759,f20899]) ).
thf(f32121,plain,
( ~ spl0_339
| spl0_135
| ~ spl0_300
| ~ spl0_1
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f32114,f20152,f50,f15304,f7957,f20891]) ).
thf(f32122,plain,
( spl0_409
| spl0_135
| spl0_403
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f32118,f20152,f23301,f7957,f23916]) ).
thf(f32164,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_47
| ~ spl0_457 ),
inference(constrained_superposition,[],[f663,f31965]) ).
thf(f32187,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ~ spl0_47
| ~ spl0_457 ),
inference(trivial_inequality_removal,[],[f32164]) ).
thf(f32205,plain,
( spl0_145
| ~ spl0_228
| ~ spl0_238
| ~ spl0_47
| ~ spl0_457 ),
inference(avatar_split_clause,[],[f32187,f31964,f662,f11973,f11932,f8759]) ).
thf(f32215,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_230
| ~ spl0_458 ),
inference(constrained_superposition,[],[f31369,f31968]) ).
thf(f32216,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_210
| ~ spl0_458 ),
inference(constrained_superposition,[],[f29330,f31968]) ).
thf(f32218,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_210
| ~ spl0_458 ),
inference(trivial_inequality_removal,[],[f32216]) ).
thf(f32219,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_230
| ~ spl0_458 ),
inference(trivial_inequality_removal,[],[f32215]) ).
thf(f32221,plain,
( $false
| ~ spl0_133
| ~ spl0_210
| ~ spl0_458 ),
inference(forward_subsumption_resolution,[],[f32218,f7939]) ).
thf(f32222,plain,
( ~ spl0_133
| ~ spl0_210
| ~ spl0_458 ),
inference(avatar_contradiction_clause,[],[f32221]) ).
thf(f32223,plain,
( $false
| ~ spl0_135
| ~ spl0_230
| ~ spl0_458 ),
inference(forward_subsumption_resolution,[],[f32219,f7958]) ).
thf(f32224,plain,
( ~ spl0_135
| ~ spl0_230
| ~ spl0_458 ),
inference(avatar_contradiction_clause,[],[f32223]) ).
thf(f32233,plain,
( ( $true != $true )
| ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_230
| ~ spl0_242 ),
inference(constrained_superposition,[],[f31369,f12022]) ).
thf(f32238,plain,
( ( ( r @ ( s @ z ) @ z )
!= $true )
| ~ spl0_230
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f32233]) ).
thf(f32239,plain,
( $false
| ~ spl0_14
| ~ spl0_230
| ~ spl0_242 ),
inference(forward_subsumption_resolution,[],[f32238,f177]) ).
thf(f32240,plain,
( ~ spl0_14
| ~ spl0_230
| ~ spl0_242 ),
inference(avatar_contradiction_clause,[],[f32239]) ).
thf(f32253,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_238 ),
inference(constrained_superposition,[],[f11974,f37]) ).
thf(f32254,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| spl0_238 ),
inference(constrained_superposition,[],[f11974,f30]) ).
thf(f32255,plain,
( ( ( s @ ( s @ z ) )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| spl0_238 ),
inference(trivial_inequality_removal,[],[f32254]) ).
thf(f32257,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_238 ),
inference(trivial_inequality_removal,[],[f32253]) ).
thf(f32259,plain,
( spl0_247
| spl0_248
| spl0_238 ),
inference(avatar_split_clause,[],[f32255,f11973,f12195,f12191]) ).
thf(f32261,plain,
( spl0_222
| spl0_247
| spl0_238 ),
inference(avatar_split_clause,[],[f32257,f11973,f12191,f11681]) ).
thf(f32270,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_457 ),
inference(constrained_superposition,[],[f51,f31965]) ).
thf(f32274,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_457 ),
inference(constrained_superposition,[],[f215,f31965]) ).
thf(f32279,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_457 ),
inference(trivial_inequality_removal,[],[f32274]) ).
thf(f32283,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ~ spl0_1
| ~ spl0_457 ),
inference(trivial_inequality_removal,[],[f32270]) ).
thf(f32292,plain,
( spl0_267
| ~ spl0_155
| spl0_242
| ~ spl0_457 ),
inference(avatar_split_clause,[],[f32279,f31964,f12021,f8797,f13432]) ).
thf(f32298,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_47
| ~ spl0_460 ),
inference(constrained_superposition,[],[f663,f31975]) ).
thf(f32319,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ~ spl0_47
| ~ spl0_460 ),
inference(trivial_inequality_removal,[],[f32298]) ).
thf(f32332,plain,
( ~ spl0_173
| spl0_226
| ~ spl0_191
| ~ spl0_47
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f32319,f31974,f662,f10330,f11924,f9190]) ).
thf(f32348,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_456
| ~ spl0_459 ),
inference(constrained_superposition,[],[f31928,f31972]) ).
thf(f32351,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_456
| ~ spl0_459 ),
inference(trivial_inequality_removal,[],[f32348]) ).
thf(f32355,plain,
( $false
| ~ spl0_209
| ~ spl0_456
| ~ spl0_459 ),
inference(forward_subsumption_resolution,[],[f32351,f11428]) ).
thf(f32356,plain,
( ~ spl0_209
| ~ spl0_456
| ~ spl0_459 ),
inference(avatar_contradiction_clause,[],[f32355]) ).
thf(f32370,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_460 ),
inference(constrained_superposition,[],[f215,f31975]) ).
thf(f32375,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_460 ),
inference(trivial_inequality_removal,[],[f32370]) ).
thf(f32389,plain,
( ~ spl0_227
| spl0_237
| spl0_141
| ~ spl0_460 ),
inference(avatar_split_clause,[],[f32375,f31974,f8556,f11969,f11929]) ).
thf(f32461,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_267 ),
inference(constrained_superposition,[],[f13433,f264]) ).
thf(f32468,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_267 ),
inference(trivial_inequality_removal,[],[f32461]) ).
thf(f32474,plain,
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| spl0_171
| ~ spl0_267 ),
inference(forward_subsumption_resolution,[],[f32468,f11645]) ).
thf(f32475,plain,
( ~ spl0_27
| ~ spl0_28
| spl0_171
| ~ spl0_267 ),
inference(avatar_split_clause,[],[f32474,f13432,f9142,f354,f351]) ).
thf(f32570,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ ( s @ X0 ) @ ( s @ z ) ) )
| ( ( s @ ( s @ z ) )
= X0 ) )
| ~ spl0_365
| ~ spl0_397 ),
inference(forward_subsumption_resolution,[],[f21692,f22250]) ).
thf(f32571,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_221
| ~ spl0_365
| ~ spl0_397 ),
inference(constrained_superposition,[],[f32570,f11675]) ).
thf(f32573,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ~ spl0_221
| ~ spl0_365
| ~ spl0_397 ),
inference(trivial_inequality_removal,[],[f32571]) ).
thf(f32575,plain,
( spl0_143
| ~ spl0_221
| ~ spl0_365
| ~ spl0_397 ),
inference(avatar_split_clause,[],[f32573,f22249,f21691,f11674,f8698]) ).
thf(f32649,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_372 ),
inference(constrained_superposition,[],[f21738,f36]) ).
thf(f32652,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_372 ),
inference(duplicate_literal_removal,[],[f32649]) ).
thf(f32653,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_372 ),
inference(trivial_inequality_removal,[],[f32652]) ).
thf(f32782,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_150
| ~ spl0_314 ),
inference(constrained_superposition,[],[f8779,f20142]) ).
thf(f32793,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_150
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f32782]) ).
thf(f32801,definition,
( spl0_471
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl0_471])],[avatar_definition]) ).
thf(f32802,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_471 ),
inference(avatar_component_clause,[],[f32801]) ).
thf(f32803,plain,
( spl0_471
| ~ spl0_300
| ~ spl0_150
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f32793,f20141,f8778,f15304,f32801]) ).
thf(f32809,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_471 ),
inference(constrained_superposition,[],[f32802,f264]) ).
thf(f32815,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_471 ),
inference(trivial_inequality_removal,[],[f32809]) ).
thf(f32874,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_317
| ~ spl0_326 ),
inference(constrained_superposition,[],[f20406,f20153]) ).
thf(f32875,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_326 ),
inference(constrained_superposition,[],[f20406,f264]) ).
thf(f32878,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_317
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f32874]) ).
thf(f32884,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_326 ),
inference(trivial_inequality_removal,[],[f32875]) ).
thf(f32888,definition,
( spl0_472
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_472])],[avatar_definition]) ).
thf(f32889,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_472 ),
inference(avatar_component_clause,[],[f32888]) ).
thf(f32890,plain,
( spl0_472
| ~ spl0_155
| ~ spl0_317
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f32878,f20405,f20152,f8797,f32888]) ).
thf(f32897,plain,
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_472 ),
inference(constrained_superposition,[],[f32889,f264]) ).
thf(f32900,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_472 ),
inference(trivial_inequality_removal,[],[f32897]) ).
thf(f32916,plain,
( ~ spl0_231
| ~ spl0_236
| spl0_135
| ~ spl0_1
| ~ spl0_457 ),
inference(avatar_split_clause,[],[f32283,f31964,f50,f7957,f11964,f11945]) ).
thf(f32918,definition,
( spl0_473
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_473])],[avatar_definition]) ).
thf(f32919,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_473 ),
inference(avatar_component_clause,[],[f32918]) ).
thf(f32920,plain,
( spl0_473
| spl0_298
| ~ spl0_27
| ~ spl0_326 ),
inference(avatar_split_clause,[],[f32884,f20405,f351,f15294,f32918]) ).
thf(f32933,plain,
( ~ spl0_27
| ~ spl0_191
| spl0_171
| ~ spl0_472 ),
inference(avatar_split_clause,[],[f32900,f32888,f9142,f10330,f351]) ).
thf(f32937,plain,
( spl0_298
| ~ spl0_35
| ~ spl0_169
| ~ spl0_471 ),
inference(avatar_split_clause,[],[f32815,f32801,f9136,f452,f15294]) ).
thf(f32952,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_127 ),
inference(constrained_superposition,[],[f7888,f30]) ).
thf(f32954,plain,
( ( ( s @ ( s @ ( s @ z ) ) )
= ( s @ z ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_127 ),
inference(trivial_inequality_removal,[],[f32952]) ).
thf(f32957,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| spl0_127
| spl0_138 ),
inference(forward_subsumption_resolution,[],[f32954,f31921]) ).
thf(f32958,plain,
( spl0_126
| spl0_127
| spl0_138 ),
inference(avatar_split_clause,[],[f32957,f7984,f7887,f7883]) ).
thf(f32987,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_142
| ~ spl0_171 ),
inference(constrained_superposition,[],[f31442,f9143]) ).
thf(f32988,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_171 ),
inference(constrained_superposition,[],[f28,f9143]) ).
thf(f32989,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f32988]) ).
thf(f32990,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_142
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f32987]) ).
thf(f32991,plain,
( $false
| ~ spl0_34
| ~ spl0_142
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[],[f32990,f428]) ).
thf(f32992,plain,
( ~ spl0_34
| ~ spl0_142
| ~ spl0_171 ),
inference(avatar_contradiction_clause,[],[f32991]) ).
thf(f32995,plain,
( spl0_156
| spl0_142
| ~ spl0_372 ),
inference(avatar_split_clause,[],[f32653,f21737,f8559,f8800]) ).
thf(f33019,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl0_213
| ~ spl0_332 ),
inference(constrained_superposition,[],[f31528,f11639]) ).
thf(f33022,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_213
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f33019]) ).
thf(f33023,plain,
( $false
| ~ spl0_136
| ~ spl0_213
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f33022,f7979]) ).
thf(f33024,plain,
( ~ spl0_136
| ~ spl0_213
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f33023]) ).
thf(f33283,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f321,f15243]) ).
thf(f33287,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_259
| ~ spl0_287 ),
inference(constrained_superposition,[],[f12869,f15243]) ).
thf(f33295,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_259
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f33287]) ).
thf(f33305,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f33283]) ).
thf(f33306,plain,
( ~ spl0_300
| ~ spl0_259
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f33295,f15242,f12868,f15304]) ).
thf(f33309,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_287
| spl0_299 ),
inference(forward_subsumption_resolution,[],[f33305,f20285]) ).
thf(f33310,plain,
( spl0_294
| spl0_175
| ~ spl0_287
| spl0_299 ),
inference(avatar_split_clause,[],[f33309,f15298,f15242,f9200,f15278]) ).
thf(f33360,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f321,f11425]) ).
thf(f33368,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_208 ),
inference(constrained_superposition,[],[f75,f11425]) ).
thf(f33373,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f33368]) ).
thf(f33375,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_208 ),
inference(trivial_inequality_removal,[],[f33360]) ).
thf(f33381,plain,
( spl0_136
| spl0_269
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f33373,f11424,f13785,f7978]) ).
thf(f33382,plain,
( spl0_226
| spl0_175
| spl0_235
| ~ spl0_208 ),
inference(avatar_split_clause,[],[f33375,f11424,f11960,f9200,f11924]) ).
thf(f33421,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_132
| ~ spl0_171 ),
inference(constrained_superposition,[],[f32989,f7935]) ).
thf(f33426,plain,
( ( ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_132
| ~ spl0_171 ),
inference(trivial_inequality_removal,[],[f33421]) ).
thf(f33427,plain,
( $false
| ~ spl0_132
| ~ spl0_149
| ~ spl0_171 ),
inference(forward_subsumption_resolution,[],[f33426,f8774]) ).
thf(f33428,plain,
( ~ spl0_132
| ~ spl0_149
| ~ spl0_171 ),
inference(avatar_contradiction_clause,[],[f33427]) ).
thf(f33478,plain,
( ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_131
| ~ spl0_156 ),
inference(constrained_superposition,[],[f8801,f7932]) ).
thf(f33482,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f102,f7932]) ).
thf(f33483,plain,
( ( $true != $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_131 ),
inference(constrained_superposition,[],[f51,f7932]) ).
thf(f33492,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f33483]) ).
thf(f33502,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f33482]) ).
thf(f33503,plain,
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_131
| ~ spl0_156 ),
inference(trivial_inequality_removal,[],[f33478]) ).
thf(f33504,plain,
( ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z )
!= $true )
| ~ spl0_1
| ~ spl0_131
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f33492,f23313]) ).
thf(f33506,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) ) )
| spl0_126
| ~ spl0_131 ),
inference(forward_subsumption_resolution,[],[f33502,f7901]) ).
thf(f33507,plain,
( ~ spl0_157
| ~ spl0_131
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f33503,f8800,f7931,f8803]) ).
thf(f33508,plain,
( ~ spl0_151
| ~ spl0_157
| ~ spl0_1
| ~ spl0_131
| spl0_137 ),
inference(avatar_split_clause,[],[f33504,f7981,f7931,f50,f8803,f8782]) ).
thf(f33509,plain,
( spl0_176
| spl0_192
| spl0_126
| ~ spl0_131 ),
inference(avatar_split_clause,[],[f33506,f7931,f7883,f10334,f9205]) ).
thf(f33511,plain,
( spl0_14
| spl0_38
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f28737,f50,f486,f176]) ).
thf(f33535,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( $true != $true )
| spl0_324 ),
inference(constrained_superposition,[],[f20396,f30]) ).
thf(f33537,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_324 ),
inference(trivial_inequality_removal,[],[f33535]) ).
thf(f33540,plain,
( spl0_331
| spl0_222
| spl0_324 ),
inference(avatar_split_clause,[],[f33537,f20395,f11681,f20437]) ).
thf(f33570,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_242 ),
inference(constrained_superposition,[],[f28,f12022]) ).
thf(f33571,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f33570]) ).
thf(f33599,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_332 ),
inference(constrained_superposition,[],[f28,f20637]) ).
thf(f33600,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f33599]) ).
thf(f33616,plain,
( ( $true != $true )
| ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| spl0_21 ),
inference(constrained_superposition,[],[f10735,f233]) ).
thf(f33617,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_18
| spl0_97 ),
inference(constrained_superposition,[],[f4373,f233]) ).
thf(f33623,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_18
| spl0_97 ),
inference(trivial_inequality_removal,[],[f33617]) ).
thf(f33624,plain,
( ( $true
= ( r @ z @ ( s @ ( s @ z ) ) ) )
| ~ spl0_18
| spl0_21 ),
inference(trivial_inequality_removal,[],[f33616]) ).
thf(f33628,plain,
( spl0_136
| ~ spl0_18
| spl0_97 ),
inference(avatar_split_clause,[],[f33623,f4372,f232,f7978]) ).
thf(f33631,plain,
( ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| spl0_141 ),
inference(avatar_component_clause,[],[f8556]) ).
thf(f33633,plain,
( ~ spl0_12
| ~ spl0_16
| spl0_53
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f28734,f50,f724,f226,f169]) ).
thf(f33635,plain,
( spl0_20
| ~ spl0_18
| spl0_21 ),
inference(avatar_split_clause,[],[f33624,f330,f232,f326]) ).
thf(f33722,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( $true != $true ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f321,f7942]) ).
thf(f33730,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ z @ X0 )
!= $true )
| ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f75,f7942]) ).
thf(f33735,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X1 )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f33730]) ).
thf(f33742,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f33722]) ).
thf(f33744,plain,
( spl0_136
| spl0_174
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f33735,f7941,f9196,f7978]) ).
thf(f33745,plain,
( spl0_175
| spl0_145
| spl0_148
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f33742,f7941,f8770,f8759,f9200]) ).
thf(f33874,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f54,f30]) ).
thf(f33876,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f33874]) ).
thf(f33880,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_213 ),
inference(constrained_superposition,[],[f28,f11639]) ).
thf(f33881,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_213 ),
inference(trivial_inequality_removal,[],[f33880]) ).
thf(f33891,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_145
| ~ spl0_399 ),
inference(constrained_superposition,[],[f22482,f8760]) ).
thf(f33893,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_145
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f33891]) ).
thf(f33939,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true != $true )
| ( $true
= ( r @ X0 @ z ) )
| ( z = X0 ) )
| ~ spl0_2 ),
inference(constrained_superposition,[],[f33876,f30]) ).
thf(f33941,plain,
( ! [X0: $i] :
( ( z = X0 )
| ( $true
= ( r @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ z @ X0 ) ) )
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f33939]) ).
thf(f33942,plain,
( ! [X0: $i] :
( ( $true
= ( r @ z @ X0 ) )
| ( z = X0 )
| ( $true
= ( r @ X0 @ z ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f33941]) ).
thf(f33958,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true != $true )
| ~ spl0_226
| ~ spl0_399 ),
inference(constrained_superposition,[],[f22482,f11925]) ).
thf(f33960,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ~ spl0_226
| ~ spl0_399 ),
inference(trivial_inequality_removal,[],[f33958]) ).
thf(f33966,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f102,f15243]) ).
thf(f33972,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_287 ),
inference(constrained_superposition,[],[f75,f15243]) ).
thf(f33974,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ z @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f33972]) ).
thf(f33977,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) ) )
| ~ spl0_287 ),
inference(trivial_inequality_removal,[],[f33966]) ).
thf(f33984,plain,
( spl0_136
| spl0_401
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f33974,f15242,f23196,f7978]) ).
thf(f33986,plain,
( spl0_221
| spl0_123
| spl0_284
| ~ spl0_287 ),
inference(avatar_split_clause,[],[f33977,f15242,f15228,f7864,f11674]) ).
thf(f33990,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_213
| ~ spl0_298 ),
inference(constrained_superposition,[],[f33881,f15295]) ).
thf(f33994,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_213
| ~ spl0_298 ),
inference(trivial_inequality_removal,[],[f33990]) ).
thf(f33995,plain,
( $false
| ~ spl0_34
| ~ spl0_213
| ~ spl0_298 ),
inference(forward_subsumption_resolution,[],[f33994,f428]) ).
thf(f33996,plain,
( ~ spl0_34
| ~ spl0_213
| ~ spl0_298 ),
inference(avatar_contradiction_clause,[],[f33995]) ).
thf(f33999,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_287 ),
inference(constrained_superposition,[],[f21061,f37]) ).
thf(f34002,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_287 ),
inference(trivial_inequality_removal,[],[f33999]) ).
thf(f34006,plain,
( spl0_143
| spl0_400
| spl0_287 ),
inference(avatar_split_clause,[],[f34002,f15242,f23019,f8698]) ).
thf(f34012,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_314 ),
inference(constrained_superposition,[],[f321,f20142]) ).
thf(f34013,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_314 ),
inference(constrained_superposition,[],[f102,f20142]) ).
thf(f34014,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true ) )
| ~ spl0_314 ),
inference(constrained_superposition,[],[f43,f20142]) ).
thf(f34022,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f34012]) ).
thf(f34025,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true ) )
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f34013]) ).
thf(f34027,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ z )
= $true )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_314 ),
inference(trivial_inequality_removal,[],[f34014]) ).
thf(f34031,plain,
( spl0_328
| spl0_192
| spl0_221
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f34025,f20141,f11674,f10334,f20413]) ).
thf(f34032,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| spl0_283
| ~ spl0_314 ),
inference(forward_subsumption_resolution,[],[f34027,f23298]) ).
thf(f34034,plain,
( spl0_409
| spl0_159
| spl0_283
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f34032,f20141,f15225,f8811,f23916]) ).
thf(f34037,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) ) )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f102,f20153]) ).
thf(f34040,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f1578,f20153]) ).
thf(f34042,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true ) )
| ~ spl0_317 ),
inference(constrained_superposition,[],[f164,f20153]) ).
thf(f34047,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f34037]) ).
thf(f34048,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f34042]) ).
thf(f34050,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_317 ),
inference(trivial_inequality_removal,[],[f34040]) ).
thf(f34057,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| spl0_152
| ~ spl0_317 ),
inference(forward_subsumption_resolution,[],[f34047,f9243]) ).
thf(f34058,plain,
( spl0_331
| spl0_344
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f34048,f20152,f21058,f20437]) ).
thf(f34060,plain,
( spl0_412
| spl0_298
| ~ spl0_173
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f34050,f20152,f9190,f15294,f24258]) ).
thf(f34061,plain,
( spl0_328
| spl0_345
| spl0_152
| ~ spl0_317 ),
inference(avatar_split_clause,[],[f34057,f20152,f8785,f21066,f20413]) ).
thf(f34172,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_316 ),
inference(constrained_superposition,[],[f1578,f20149]) ).
thf(f34185,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true ) )
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f34172]) ).
thf(f34198,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_319 ),
inference(constrained_superposition,[],[f215,f20160]) ).
thf(f34203,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f34198]) ).
thf(f34219,plain,
( ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_213
| ~ spl0_332 ),
inference(constrained_superposition,[],[f33600,f11639]) ).
thf(f34220,plain,
( ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ~ spl0_213
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f34219]) ).
thf(f34352,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_314
| ~ spl0_473 ),
inference(constrained_superposition,[],[f32919,f20142]) ).
thf(f34363,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_314
| ~ spl0_473 ),
inference(trivial_inequality_removal,[],[f34352]) ).
thf(f34368,plain,
( ~ spl0_296
| ~ spl0_324
| ~ spl0_314
| ~ spl0_473 ),
inference(avatar_split_clause,[],[f34363,f32918,f20141,f20395,f15286]) ).
thf(f34376,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_451 ),
inference(constrained_superposition,[],[f29838,f264]) ).
thf(f34383,plain,
( ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_451 ),
inference(trivial_inequality_removal,[],[f34376]) ).
thf(f34390,definition,
( spl0_477
<=> ( $true
= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_477])],[avatar_definition]) ).
thf(f34391,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_477 ),
inference(avatar_component_clause,[],[f34390]) ).
thf(f34403,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true != $true )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| spl0_477 ),
inference(constrained_superposition,[],[f34391,f265]) ).
thf(f34409,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_477 ),
inference(trivial_inequality_removal,[],[f34403]) ).
thf(f34412,definition,
( spl0_478
<=> ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_478])],[avatar_definition]) ).
thf(f34413,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_478 ),
inference(avatar_component_clause,[],[f34412]) ).
thf(f34416,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| spl0_477 ),
inference(forward_subsumption_resolution,[],[f34409,f32]) ).
thf(f34421,plain,
( spl0_478
| spl0_477 ),
inference(avatar_split_clause,[],[f34416,f34390,f34412]) ).
thf(f34424,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl0_478 ),
inference(constrained_superposition,[],[f28,f34413]) ).
thf(f34425,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true ) )
| ~ spl0_478 ),
inference(trivial_inequality_removal,[],[f34424]) ).
thf(f34458,plain,
( ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_314
| ~ spl0_445 ),
inference(constrained_superposition,[],[f29677,f20142]) ).
thf(f34472,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ~ spl0_314
| ~ spl0_445 ),
inference(trivial_inequality_removal,[],[f34458]) ).
thf(f34476,plain,
( ~ spl0_340
| ~ spl0_296
| ~ spl0_314
| ~ spl0_445 ),
inference(avatar_split_clause,[],[f34472,f29676,f20141,f15286,f20895]) ).
thf(f34497,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ~ spl0_409 ),
inference(constrained_superposition,[],[f23917,f90]) ).
thf(f34508,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_409 ),
inference(trivial_inequality_removal,[],[f34497]) ).
thf(f34575,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_328 ),
inference(constrained_superposition,[],[f20414,f263]) ).
thf(f34587,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ ( s @ z ) ) )
!= $true )
| ~ spl0_328 ),
inference(trivial_inequality_removal,[],[f34575]) ).
thf(f34611,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_277 ),
inference(constrained_superposition,[],[f14672,f90]) ).
thf(f34620,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ~ spl0_277 ),
inference(trivial_inequality_removal,[],[f34611]) ).
thf(f34626,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) )
!= $true )
| spl0_152
| ~ spl0_277 ),
inference(forward_subsumption_resolution,[],[f34620,f9243]) ).
thf(f34627,plain,
( ~ spl0_129
| ~ spl0_127
| spl0_152
| ~ spl0_277 ),
inference(avatar_split_clause,[],[f34626,f14671,f8785,f7887,f7898]) ).
thf(f34628,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_2
| spl0_142 ),
inference(constrained_superposition,[],[f27552,f33942]) ).
thf(f34629,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ( $true != $true )
| ~ spl0_2
| ~ spl0_213
| ~ spl0_332 ),
inference(constrained_superposition,[],[f34220,f33942]) ).
thf(f34640,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_242 ),
inference(constrained_superposition,[],[f33571,f33942]) ).
thf(f34650,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) @ z ) )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_242 ),
inference(trivial_inequality_removal,[],[f34640]) ).
thf(f34651,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| ~ spl0_213
| ~ spl0_332 ),
inference(trivial_inequality_removal,[],[f34629]) ).
thf(f34663,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_142 ),
inference(trivial_inequality_removal,[],[f34628]) ).
thf(f34667,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_226
| ~ spl0_242
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f34650,f33960]) ).
thf(f34668,plain,
( ( z
= ( s @ ( s @ ( s @ z ) ) ) )
| ~ spl0_2
| spl0_137
| ~ spl0_213
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f34651,f23313]) ).
thf(f34670,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ~ spl0_2
| spl0_142 ),
inference(forward_subsumption_resolution,[],[f34663,f32]) ).
thf(f34672,plain,
( ( z
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_226
| ~ spl0_242
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f34667,f109]) ).
thf(f34673,plain,
( $false
| ~ spl0_2
| spl0_137
| ~ spl0_213
| ~ spl0_332 ),
inference(forward_subsumption_resolution,[],[f34668,f32]) ).
thf(f34674,plain,
( ~ spl0_2
| spl0_137
| ~ spl0_213
| ~ spl0_332 ),
inference(avatar_contradiction_clause,[],[f34673]) ).
thf(f34676,plain,
( $false
| ~ spl0_2
| spl0_142
| ~ spl0_145
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f34670,f33893]) ).
thf(f34677,plain,
( ~ spl0_2
| spl0_142
| ~ spl0_145
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f34676]) ).
thf(f34680,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_226
| ~ spl0_242
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f34672,f32]) ).
thf(f34681,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_226
| ~ spl0_242
| ~ spl0_399 ),
inference(avatar_contradiction_clause,[],[f34680]) ).
thf(f34685,plain,
( spl0_325
| spl0_147
| spl0_299
| ~ spl0_314 ),
inference(avatar_split_clause,[],[f34022,f20141,f15298,f8767,f20400]) ).
thf(f34687,plain,
( ~ spl0_191
| spl0_299
| ~ spl0_28
| ~ spl0_328 ),
inference(avatar_split_clause,[],[f34587,f20413,f354,f15298,f10330]) ).
thf(f34701,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_152 ),
inference(constrained_superposition,[],[f28,f8786]) ).
thf(f34702,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f34701]) ).
thf(f34840,plain,
( ! [X0: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true != $true ) )
| ~ spl0_7 ),
inference(constrained_superposition,[],[f136,f263]) ).
thf(f34844,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_7
| ~ spl0_316 ),
inference(constrained_superposition,[],[f136,f20149]) ).
thf(f34856,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ X0 ) ) ) @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f34840]) ).
thf(f34864,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ~ spl0_7
| ~ spl0_316 ),
inference(trivial_inequality_removal,[],[f34844]) ).
thf(f34867,plain,
( ~ spl0_27
| spl0_29
| ~ spl0_28
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f34856,f135,f354,f357,f351]) ).
thf(f34971,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f9197,f264]) ).
thf(f34972,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| ~ spl0_174 ),
inference(constrained_superposition,[],[f9197,f91]) ).
thf(f34974,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f34972]) ).
thf(f34977,plain,
( ! [X0: $i] :
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true ) )
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f34971]) ).
thf(f34990,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true ) )
| ~ spl0_401 ),
inference(constrained_superposition,[],[f23197,f264]) ).
thf(f34998,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ X0 ) ) )
| ~ spl0_401 ),
inference(trivial_inequality_removal,[],[f34990]) ).
thf(f35006,plain,
( spl0_183
| spl0_298
| ~ spl0_35
| ~ spl0_401 ),
inference(avatar_split_clause,[],[f34998,f23196,f452,f15294,f9665]) ).
thf(f35150,plain,
( ! [X0: $i] :
( ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_344 ),
inference(constrained_superposition,[],[f21059,f264]) ).
thf(f35157,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( ( b @ ( s @ z ) @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ~ spl0_344 ),
inference(trivial_inequality_removal,[],[f35150]) ).
thf(f35163,definition,
( spl0_483
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl0_483])],[avatar_definition]) ).
thf(f35164,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) ) )
| ~ spl0_483 ),
inference(avatar_component_clause,[],[f35163]) ).
thf(f35165,plain,
( ~ spl0_27
| spl0_483
| spl0_298
| ~ spl0_344 ),
inference(avatar_split_clause,[],[f35157,f21058,f15294,f35163,f351]) ).
thf(f35170,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_314
| ~ spl0_483 ),
inference(constrained_superposition,[],[f35164,f20142]) ).
thf(f35178,plain,
( ( $true
!= ( b @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ~ spl0_314
| ~ spl0_483 ),
inference(trivial_inequality_removal,[],[f35170]) ).
thf(f35187,plain,
( ~ spl0_340
| ~ spl0_324
| ~ spl0_314
| ~ spl0_483 ),
inference(avatar_split_clause,[],[f35178,f35163,f20141,f20395,f20895]) ).
thf(f35189,plain,
( spl0_267
| ~ spl0_155
| spl0_434
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f34203,f20159,f25697,f8797,f13432]) ).
thf(f35191,plain,
( ~ spl0_35
| spl0_171
| ~ spl0_178
| ~ spl0_451 ),
inference(avatar_split_clause,[],[f34383,f29837,f9475,f9142,f452]) ).
thf(f35195,plain,
( spl0_171
| spl0_183
| ~ spl0_35
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f34977,f9196,f452,f9665,f9142]) ).
thf(f35197,plain,
( spl0_416
| ~ spl0_260
| ~ spl0_155
| ~ spl0_7
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f34864,f20148,f135,f8797,f13018,f25041]) ).
thf(f35200,plain,
( ~ spl0_425
| spl0_424
| spl0_171
| ~ spl0_316 ),
inference(avatar_split_clause,[],[f34185,f20148,f9142,f25071,f25074]) ).
thf(f35236,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_142 ),
inference(constrained_superposition,[],[f28,f8560]) ).
thf(f35237,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_142 ),
inference(trivial_inequality_removal,[],[f35236]) ).
thf(f35284,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f43,f7932]) ).
thf(f35286,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true != $true )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131
| ~ spl0_174 ),
inference(constrained_superposition,[],[f9197,f7932]) ).
thf(f35290,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_131 ),
inference(constrained_superposition,[],[f164,f7932]) ).
thf(f35302,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_131
| ~ spl0_174 ),
inference(trivial_inequality_removal,[],[f35286]) ).
thf(f35306,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f35290]) ).
thf(f35307,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_131 ),
inference(trivial_inequality_removal,[],[f35284]) ).
thf(f35308,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( s @ z ) @ X1 )
!= $true ) )
| ~ spl0_131
| spl0_141 ),
inference(forward_subsumption_resolution,[],[f35306,f33631]) ).
thf(f35309,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_131
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f35307,f23313]) ).
thf(f35310,plain,
( spl0_154
| ~ spl0_131
| spl0_141 ),
inference(avatar_split_clause,[],[f35308,f8556,f7931,f8792]) ).
thf(f35311,plain,
( spl0_159
| spl0_158
| ~ spl0_131
| spl0_137 ),
inference(avatar_split_clause,[],[f35309,f7981,f7931,f8808,f8811]) ).
thf(f35315,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f102,f7942]) ).
thf(f35316,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_134 ),
inference(constrained_superposition,[],[f43,f7942]) ).
thf(f35330,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ z ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f35316]) ).
thf(f35334,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( s @ z ) )
!= $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ z ) ) )
| ( ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| ~ spl0_134 ),
inference(trivial_inequality_removal,[],[f35315]) ).
thf(f35336,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) ) )
| ~ spl0_134
| ~ spl0_145
| ~ spl0_399 ),
inference(forward_subsumption_resolution,[],[f35330,f33893]) ).
thf(f35337,plain,
( spl0_158
| spl0_156
| ~ spl0_134
| ~ spl0_145
| ~ spl0_399 ),
inference(avatar_split_clause,[],[f35336,f22481,f8759,f7941,f8800,f8808]) ).
thf(f35352,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_434
| ~ spl0_478 ),
inference(constrained_superposition,[],[f34425,f25698]) ).
thf(f35355,plain,
( ( $true
!= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ~ spl0_434
| ~ spl0_478 ),
inference(trivial_inequality_removal,[],[f35352]) ).
thf(f35356,plain,
( $false
| ~ spl0_97
| ~ spl0_434
| ~ spl0_478 ),
inference(forward_subsumption_resolution,[],[f35355,f7869]) ).
thf(f35357,plain,
( ~ spl0_97
| ~ spl0_434
| ~ spl0_478 ),
inference(avatar_contradiction_clause,[],[f35356]) ).
thf(f35368,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true != $true )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f43,f15270]) ).
thf(f35371,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true ) )
| ~ spl0_292 ),
inference(constrained_superposition,[],[f164,f15270]) ).
thf(f35376,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( s @ z ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
= $true )
| ( ( b @ X1 @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f35371]) ).
thf(f35378,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ z ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) ) )
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f35368]) ).
thf(f35386,plain,
( spl0_331
| spl0_295
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f35376,f15269,f15282,f20437]) ).
thf(f35387,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ z ) )
| ( $true
!= ( b @ X0 @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ X1 ) ) )
| spl0_137
| ~ spl0_292 ),
inference(forward_subsumption_resolution,[],[f35378,f23313]) ).
thf(f35388,plain,
( spl0_403
| spl0_402
| spl0_137
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f35387,f15269,f7981,f23293,f23301]) ).
thf(f35397,plain,
( ( $true != $true )
| ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_142
| ~ spl0_152 ),
inference(constrained_superposition,[],[f34702,f8560]) ).
thf(f35398,plain,
( ( $true
!= ( r @ z @ ( s @ z ) ) )
| ~ spl0_142
| ~ spl0_152 ),
inference(trivial_inequality_removal,[],[f35397]) ).
thf(f35399,plain,
( $false
| ~ spl0_4
| ~ spl0_142
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f35398,f109]) ).
thf(f35400,plain,
( ~ spl0_4
| ~ spl0_142
| ~ spl0_152 ),
inference(avatar_contradiction_clause,[],[f35399]) ).
thf(f35402,plain,
( spl0_176
| spl0_152
| spl0_123
| ~ spl0_134 ),
inference(avatar_split_clause,[],[f35334,f7941,f7864,f8785,f9205]) ).
thf(f35456,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl0_458 ),
inference(constrained_superposition,[],[f28,f31968]) ).
thf(f35457,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
| ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
!= $true ) )
| ~ spl0_458 ),
inference(trivial_inequality_removal,[],[f35456]) ).
thf(f35497,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_144
| ~ spl0_292 ),
inference(constrained_superposition,[],[f8757,f15270]) ).
thf(f35515,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( b @ z @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ~ spl0_144
| ~ spl0_292 ),
inference(trivial_inequality_removal,[],[f35497]) ).
thf(f35517,plain,
( ~ spl0_340
| ~ spl0_300
| ~ spl0_144
| ~ spl0_292 ),
inference(avatar_split_clause,[],[f35515,f15269,f8756,f15304,f20895]) ).
thf(f35520,plain,
( spl0_274
| ~ spl0_125
| ~ spl0_131
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f35302,f9196,f7931,f7878,f14326]) ).
thf(f35524,plain,
( ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| spl0_292 ),
inference(constrained_superposition,[],[f20419,f37]) ).
thf(f35528,plain,
( ( $true
= ( r @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ z ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_292 ),
inference(trivial_inequality_removal,[],[f35524]) ).
thf(f35532,plain,
( spl0_332
| spl0_143
| spl0_292 ),
inference(avatar_split_clause,[],[f35528,f15269,f8698,f20636]) ).
thf(f35583,plain,
( ( $true != $true )
| ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_183 ),
inference(constrained_superposition,[],[f9666,f91]) ).
thf(f35592,plain,
( ( $true
= ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) )
| ( $true
!= ( b @ ( s @ ( s @ z ) ) @ ( s @ z ) ) )
| ~ spl0_183 ),
inference(trivial_inequality_removal,[],[f35583]) ).
thf(f35608,plain,
( ( ( b @ ( s @ z ) @ z )
!= $true )
| ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( $true != $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ~ spl0_184 ),
inference(constrained_superposition,[],[f9710,f36]) ).
thf(f35611,plain,
( ( ( b @ z @ ( s @ ( s @ z ) ) )
!= $true )
| ( ( r @ z @ ( s @ ( s @ ( s @ z ) ) ) )
= $true )
| ( ( b @ ( s @ z ) @ z )
!= $true )
| ~ spl0_184 ),
inference(trivial_inequality_removal,[],[f35608]) ).
thf(f35635,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ( $true != $true )
| ~ spl0_254
| ~ spl0_458 ),
inference(constrained_superposition,[],[f35457,f12376]) ).
thf(f35636,plain,
( ( $true
!= ( r @ z @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) )
| ~ spl0_254
| ~ spl0_458 ),
inference(trivial_inequality_removal,[],[f35635]) ).
thf(f35639,plain,
( $false
| ~ spl0_142
| ~ spl0_254
| ~ spl0_458 ),
inference(forward_subsumption_resolution,[],[f35636,f8560]) ).
thf(f35640,plain,
( ~ spl0_142
| ~ spl0_254
| ~ spl0_458 ),
inference(avatar_contradiction_clause,[],[f35639]) ).
thf(f35658,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ~ spl0_158
| ~ spl0_319 ),
inference(constrained_superposition,[],[f8809,f20160]) ).
thf(f35675,plain,
( ( $true
!= ( b @ ( s @ ( s @ ( s @ z ) ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) ) )
| ( $true
!= ( b @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_158
| ~ spl0_319 ),
inference(trivial_inequality_removal,[],[f35658]) ).
thf(f35676,plain,
( ~ spl0_477
| ~ spl0_428
| ~ spl0_158
| ~ spl0_319 ),
inference(avatar_split_clause,[],[f35675,f20159,f8808,f25244,f34390]) ).
thf(f35677,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_420 ),
inference(constrained_superposition,[],[f28,f25058]) ).
thf(f35678,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( r @ X0 @ z ) ) )
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f35677]) ).
thf(f35687,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_142
| ~ spl0_315 ),
inference(constrained_superposition,[],[f35237,f20146]) ).
thf(f35692,plain,
( ( $true
!= ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) ) @ z ) )
| ~ spl0_142
| ~ spl0_315 ),
inference(trivial_inequality_removal,[],[f35687]) ).
thf(f35693,plain,
( $false
| ~ spl0_142
| ~ spl0_315
| ~ spl0_420 ),
inference(forward_subsumption_resolution,[],[f35692,f25058]) ).
thf(f35694,plain,
( ~ spl0_142
| ~ spl0_315
| ~ spl0_420 ),
inference(avatar_contradiction_clause,[],[f35693]) ).
thf(f35695,plain,
( ! [X0: $i] :
( ( ( b @ z @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( s @ ( s @ ( s @ z ) ) ) ) )
| ( $true
!= ( b @ ( s @ z ) @ X0 ) )
| ( $true
!= ( b @ z @ ( s @ z ) ) ) )
| spl0_141
| ~ spl0_174 ),
inference(forward_subsumption_resolution,[],[f34974,f33631]) ).
thf(f35696,plain,
( ~ spl0_12
| spl0_275
| spl0_141
| ~ spl0_174 ),
inference(avatar_split_clause,[],[f35695,f9196,f8556,f14330,f169]) ).
thf(f35715,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ( $true != $true )
| ~ spl0_418
| ~ spl0_420 ),
inference(constrained_superposition,[],[f35678,f25050]) ).
thf(f35718,plain,
( ( $true
!= ( r @ ( s @ ( s @ z ) ) @ z ) )
| ~ spl0_418
| ~ spl0_420 ),
inference(trivial_inequality_removal,[],[f35715]) ).
thf(f35719,plain,
( $false
| ~ spl0_34
| ~ spl0_418
| ~ spl0_420 ),
inference(forward_subsumption_resolution,[],[f35718,f428]) ).
thf(f35720,plain,
( ~ spl0_34
| ~ spl0_418
| ~ spl0_420 ),
inference(avatar_contradiction_clause,[],[f35719]) ).
thf(f35721,plain,
( spl0_221
| ~ spl0_16
| ~ spl0_260
| ~ spl0_409 ),
inference(avatar_split_clause,[],[f34508,f23916,f13018,f226,f11674]) ).
thf(f35723,plain,
( spl0_97
| ~ spl0_28
| ~ spl0_12
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f35592,f9665,f169,f354,f4372]) ).
thf(f35726,plain,
( spl0_136
| ~ spl0_35
| ~ spl0_16
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f35611,f9709,f226,f452,f7978]) ).
thf(f35739,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ z ) ) )
| ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true != $true ) )
| ~ spl0_21 ),
inference(constrained_superposition,[],[f28,f331]) ).
thf(f35741,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( s @ ( s @ z ) ) ) )
| ( $true
!= ( r @ X0 @ ( s @ z ) ) ) )
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f35739]) ).
thf(f35778,plain,
( ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| spl0_323 ),
inference(constrained_superposition,[],[f20393,f30]) ).
thf(f35779,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
= $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ z ) )
| spl0_323 ),
inference(trivial_inequality_removal,[],[f35778]) ).
thf(f35782,plain,
( spl0_221
| spl0_222
| spl0_323 ),
inference(avatar_split_clause,[],[f35779,f20392,f11681,f11674]) ).
thf(f35812,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_227 ),
inference(constrained_superposition,[],[f11930,f30]) ).
thf(f35815,plain,
( ( ( s @ z )
= ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( r @ ( s @ z ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
= $true )
| spl0_227 ),
inference(trivial_inequality_removal,[],[f35812]) ).
thf(f35817,plain,
( spl0_242
| spl0_241
| spl0_227 ),
inference(avatar_split_clause,[],[f35815,f11929,f12018,f12021]) ).
thf(f35825,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( $true != $true )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_296 ),
inference(constrained_superposition,[],[f15287,f30]) ).
thf(f35827,plain,
( ( $true
= ( r @ ( s @ ( s @ z ) ) @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) ) )
| ( ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) )
= ( s @ ( s @ z ) ) )
| spl0_296 ),
inference(trivial_inequality_removal,[],[f35825]) ).
thf(f35831,plain,
( spl0_298
| spl0_334
| spl0_296 ),
inference(avatar_split_clause,[],[f35827,f15286,f20780,f15294]) ).
thf(f35837,plain,
( ( $true != $true )
| ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_21
| ~ spl0_299 ),
inference(constrained_superposition,[],[f35741,f15299]) ).
thf(f35842,plain,
( ( ( r @ ( s @ ( s @ ( s @ ( s @ ( s @ z ) ) ) ) ) @ ( s @ z ) )
!= $true )
| ~ spl0_21
| ~ spl0_299 ),
inference(trivial_inequality_removal,[],[f35837]) ).
thf(f35843,plain,
( $false
| ~ spl0_21
| ~ spl0_221
| ~ spl0_299 ),
inference(forward_subsumption_resolution,[],[f35842,f11675]) ).
thf(f35844,plain,
( ~ spl0_21
| ~ spl0_221
| ~ spl0_299 ),
inference(avatar_contradiction_clause,[],[f35843]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f110]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f140]) ).
cnf(s7,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f181]) ).
cnf(s8,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f191]) ).
cnf(s10,plain,
( ~ spl0_16
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f234]) ).
cnf(s11,plain,
( spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f328]) ).
cnf(s17,plain,
( spl0_21
| spl0_32 ),
inference(sat_conversion,[],[f370]) ).
cnf(s19,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_21 ),
inference(sat_conversion,[],[f384]) ).
cnf(s20,plain,
( spl0_28
| spl0_30
| spl0_33 ),
inference(sat_conversion,[],[f395]) ).
cnf(s21,plain,
( spl0_28
| spl0_30 ),
inference(sat_conversion,[],[f396]) ).
cnf(s25,plain,
( spl0_20
| spl0_35 ),
inference(sat_conversion,[],[f465]) ).
cnf(s27,plain,
( ~ spl0_4
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f472]) ).
cnf(s28,plain,
( ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f482]) ).
cnf(s29,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f483]) ).
cnf(s32,plain,
( spl0_21
| spl0_27 ),
inference(sat_conversion,[],[f489]) ).
cnf(s33,plain,
( spl0_21
| spl0_27
| spl0_33 ),
inference(sat_conversion,[],[f490]) ).
cnf(s35,plain,
( ~ spl0_12
| spl0_18
| spl0_39 ),
inference(sat_conversion,[],[f521]) ).
cnf(s38,plain,
( ~ spl0_14
| ~ spl0_30
| spl0_37 ),
inference(sat_conversion,[],[f572]) ).
cnf(s39,plain,
( spl0_34
| spl0_37 ),
inference(sat_conversion,[],[f573]) ).
cnf(s42,plain,
( spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f578]) ).
cnf(s45,plain,
( spl0_46
| spl0_47 ),
inference(sat_conversion,[],[f664]) ).
cnf(s47,plain,
( ~ spl0_27
| spl0_30
| ~ spl0_46 ),
inference(sat_conversion,[],[f682]) ).
cnf(s52,plain,
( ~ spl0_4
| ~ spl0_30
| ~ spl0_34 ),
inference(sat_conversion,[],[f711]) ).
cnf(s53,plain,
( spl0_34
| ~ spl0_35
| ~ spl0_46 ),
inference(sat_conversion,[],[f712]) ).
cnf(s54,plain,
( ~ spl0_4
| ~ spl0_20
| ~ spl0_30 ),
inference(sat_conversion,[],[f722]) ).
cnf(s63,plain,
( spl0_30
| spl0_34
| ~ spl0_53 ),
inference(sat_conversion,[],[f1013]) ).
cnf(s88,plain,
( ~ spl0_20
| spl0_30
| spl0_33
| ~ spl0_38
| ~ spl0_46
| spl0_71 ),
inference(sat_conversion,[],[f1821]) ).
cnf(s89,plain,
( ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f1889]) ).
cnf(s90,plain,
( ~ spl0_2
| ~ spl0_20
| ~ spl0_46
| spl0_71 ),
inference(sat_conversion,[],[f1891]) ).
cnf(s187,plain,
( ~ spl0_18
| spl0_30
| spl0_33
| ~ spl0_46
| spl0_83 ),
inference(sat_conversion,[],[f3046]) ).
cnf(s191,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_18
| ~ spl0_21
| ~ spl0_46 ),
inference(sat_conversion,[],[f3074]) ).
cnf(s422,plain,
( ~ spl0_14
| ~ spl0_21
| ~ spl0_34 ),
inference(sat_conversion,[],[f6059]) ).
cnf(s434,plain,
( ~ spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f6142]) ).
cnf(s462,plain,
( ~ spl0_13
| ~ spl0_30
| ~ spl0_46
| spl0_114 ),
inference(sat_conversion,[],[f6564]) ).
cnf(s532,plain,
( ~ spl0_4
| spl0_34
| ~ spl0_46 ),
inference(sat_conversion,[],[f7444]) ).
cnf(s564,plain,
~ spl0_33,
inference(sat_conversion,[],[f7918]) ).
cnf(s571,plain,
( spl0_33
| spl0_131
| spl0_132 ),
inference(sat_conversion,[],[f7936]) ).
cnf(s572,plain,
( spl0_33
| spl0_133
| spl0_134 ),
inference(sat_conversion,[],[f7943]) ).
cnf(s578,plain,
( ~ spl0_17
| spl0_97
| spl0_126
| spl0_137
| spl0_138 ),
inference(sat_conversion,[],[f7999]) ).
cnf(s579,plain,
( ~ spl0_11
| spl0_97
| spl0_126
| spl0_136
| spl0_138 ),
inference(sat_conversion,[],[f8001]) ).
cnf(s582,plain,
( ~ spl0_4
| ~ spl0_17
| ~ spl0_136
| spl0_137
| spl0_138 ),
inference(sat_conversion,[],[f8023]) ).
cnf(s591,plain,
( spl0_33
| ~ spl0_34
| ~ spl0_46
| ~ spl0_132
| ~ spl0_136 ),
inference(sat_conversion,[],[f8082]) ).
cnf(s619,plain,
~ spl0_138,
inference(sat_conversion,[],[f8286]) ).
cnf(s634,plain,
( spl0_30
| ~ spl0_46
| ~ spl0_97 ),
inference(sat_conversion,[],[f8340]) ).
cnf(s651,plain,
~ spl0_139,
inference(sat_conversion,[],[f8529]) ).
cnf(s661,plain,
( ~ spl0_21
| ~ spl0_46
| spl0_138
| ~ spl0_141 ),
inference(sat_conversion,[],[f8586]) ).
cnf(s663,plain,
( spl0_30
| spl0_33
| ~ spl0_46
| ~ spl0_141 ),
inference(sat_conversion,[],[f8593]) ).
cnf(s670,plain,
( ~ spl0_34
| ~ spl0_46
| ~ spl0_133
| ~ spl0_135 ),
inference(sat_conversion,[],[f8709]) ).
cnf(s685,plain,
( ~ spl0_15
| spl0_97
| ~ spl0_131
| ~ spl0_155
| spl0_156
| ~ spl0_157 ),
inference(sat_conversion,[],[f8805]) ).
cnf(s688,plain,
( spl0_125
| spl0_136 ),
inference(sat_conversion,[],[f8818]) ).
cnf(s691,plain,
( ~ spl0_4
| ~ spl0_126
| spl0_153 ),
inference(sat_conversion,[],[f8828]) ).
cnf(s694,plain,
( spl0_97
| spl0_129 ),
inference(sat_conversion,[],[f8841]) ).
cnf(s695,plain,
( spl0_142
| spl0_151 ),
inference(sat_conversion,[],[f8846]) ).
cnf(s697,plain,
( spl0_135
| spl0_157 ),
inference(sat_conversion,[],[f8853]) ).
cnf(s700,plain,
( ~ spl0_21
| ~ spl0_145
| ~ spl0_152 ),
inference(sat_conversion,[],[f8926]) ).
cnf(s701,plain,
( ~ spl0_21
| ~ spl0_34
| ~ spl0_53
| ~ spl0_145 ),
inference(sat_conversion,[],[f8943]) ).
cnf(s713,plain,
( ~ spl0_34
| ~ spl0_46
| ~ spl0_137
| spl0_149 ),
inference(sat_conversion,[],[f8995]) ).
cnf(s714,plain,
( spl0_33
| ~ spl0_34
| ~ spl0_46
| ~ spl0_137
| spl0_149 ),
inference(sat_conversion,[],[f8996]) ).
cnf(s716,plain,
( ~ spl0_27
| spl0_160
| spl0_161 ),
inference(sat_conversion,[],[f9005]) ).
cnf(s738,plain,
( spl0_141
| spl0_155 ),
inference(sat_conversion,[],[f9097]) ).
cnf(s746,plain,
( spl0_168
| spl0_169 ),
inference(sat_conversion,[],[f9156]) ).
cnf(s747,plain,
( spl0_33
| spl0_168
| spl0_169 ),
inference(sat_conversion,[],[f9157]) ).
cnf(s750,plain,
( ~ spl0_1
| ~ spl0_125
| ~ spl0_134
| spl0_135
| ~ spl0_153 ),
inference(sat_conversion,[],[f9193]) ).
cnf(s753,plain,
( ~ spl0_7
| ~ spl0_127
| ~ spl0_129
| ~ spl0_134
| spl0_152 ),
inference(sat_conversion,[],[f9203]) ).
cnf(s756,plain,
( spl0_137
| spl0_153 ),
inference(sat_conversion,[],[f9213]) ).
cnf(s758,plain,
( spl0_143
| spl0_171
| spl0_173 ),
inference(sat_conversion,[],[f9229]) ).
cnf(s760,plain,
( spl0_171
| spl0_173 ),
inference(sat_conversion,[],[f9232]) ).
cnf(s762,plain,
( ~ spl0_30
| ~ spl0_53
| spl0_135
| ~ spl0_171 ),
inference(sat_conversion,[],[f9238]) ).
cnf(s764,plain,
( ~ spl0_53
| spl0_135
| spl0_152 ),
inference(sat_conversion,[],[f9257]) ).
cnf(s771,plain,
( ~ spl0_35
| spl0_137
| ~ spl0_175 ),
inference(sat_conversion,[],[f9329]) ).
cnf(s772,plain,
( ~ spl0_30
| ~ spl0_145
| ~ spl0_152 ),
inference(sat_conversion,[],[f9339]) ).
cnf(s773,plain,
( ~ spl0_35
| spl0_135
| ~ spl0_147 ),
inference(sat_conversion,[],[f9366]) ).
cnf(s777,plain,
( ~ spl0_27
| ~ spl0_28
| ~ spl0_128
| spl0_168 ),
inference(sat_conversion,[],[f9424]) ).
cnf(s780,plain,
( ~ spl0_28
| spl0_145
| ~ spl0_176
| ~ spl0_178 ),
inference(sat_conversion,[],[f9477]) ).
cnf(s781,plain,
( ~ spl0_12
| spl0_135
| ~ spl0_153
| ~ spl0_176 ),
inference(sat_conversion,[],[f9478]) ).
cnf(s782,plain,
( ~ spl0_35
| spl0_135
| ~ spl0_148
| ~ spl0_153 ),
inference(sat_conversion,[],[f9493]) ).
cnf(s783,plain,
( ~ spl0_34
| ~ spl0_137
| ~ spl0_149 ),
inference(sat_conversion,[],[f9505]) ).
cnf(s784,plain,
( ~ spl0_30
| ~ spl0_126
| ~ spl0_149 ),
inference(sat_conversion,[],[f9507]) ).
cnf(s785,plain,
( ~ spl0_12
| ~ spl0_27
| spl0_126
| ~ spl0_144 ),
inference(sat_conversion,[],[f9508]) ).
cnf(s786,plain,
( spl0_126
| spl0_127 ),
inference(sat_conversion,[],[f9509]) ).
cnf(s789,plain,
( ~ spl0_132
| ~ spl0_137
| ~ spl0_142 ),
inference(sat_conversion,[],[f9533]) ).
cnf(s791,plain,
( ~ spl0_134
| ~ spl0_146
| ~ spl0_151
| ~ spl0_157 ),
inference(sat_conversion,[],[f9538]) ).
cnf(s792,plain,
( ~ spl0_27
| spl0_126
| ~ spl0_175 ),
inference(sat_conversion,[],[f9556]) ).
cnf(s793,plain,
( ~ spl0_97
| ~ spl0_133
| ~ spl0_152 ),
inference(sat_conversion,[],[f9566]) ).
cnf(s801,plain,
( ~ spl0_27
| ~ spl0_154
| spl0_171
| spl0_184 ),
inference(sat_conversion,[],[f9711]) ).
cnf(s804,plain,
( ~ spl0_70
| ~ spl0_133
| ~ spl0_136
| spl0_138 ),
inference(sat_conversion,[],[f9776]) ).
cnf(s821,plain,
~ spl0_143,
inference(sat_conversion,[],[f9957]) ).
cnf(s844,plain,
~ spl0_140,
inference(sat_conversion,[],[f10136]) ).
cnf(s863,plain,
( ~ spl0_32
| ~ spl0_129
| ~ spl0_131
| spl0_145
| spl0_188 ),
inference(sat_conversion,[],[f10319]) ).
cnf(s865,plain,
( ~ spl0_129
| ~ spl0_131
| ~ spl0_154
| spl0_189 ),
inference(sat_conversion,[],[f10324]) ).
cnf(s866,plain,
( ~ spl0_131
| ~ spl0_169
| ~ spl0_172
| spl0_190 ),
inference(sat_conversion,[],[f10328]) ).
cnf(s869,plain,
( spl0_145
| spl0_191 ),
inference(sat_conversion,[],[f10346]) ).
cnf(s870,plain,
( spl0_138
| spl0_145
| spl0_191 ),
inference(sat_conversion,[],[f10347]) ).
cnf(s871,plain,
( spl0_143
| spl0_145
| spl0_191 ),
inference(sat_conversion,[],[f10348]) ).
cnf(s873,plain,
( ~ spl0_27
| spl0_168
| ~ spl0_189 ),
inference(sat_conversion,[],[f10380]) ).
cnf(s874,plain,
( ~ spl0_28
| spl0_145
| ~ spl0_192 ),
inference(sat_conversion,[],[f10393]) ).
cnf(s876,plain,
( spl0_149
| ~ spl0_169
| ~ spl0_190 ),
inference(sat_conversion,[],[f10408]) ).
cnf(s877,plain,
( spl0_126
| ~ spl0_129
| ~ spl0_190 ),
inference(sat_conversion,[],[f10410]) ).
cnf(s881,plain,
( ~ spl0_29
| ~ spl0_34
| ~ spl0_53
| spl0_126 ),
inference(sat_conversion,[],[f10519]) ).
cnf(s882,plain,
( spl0_97
| ~ spl0_160
| spl0_168 ),
inference(sat_conversion,[],[f10551]) ).
cnf(s893,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_11
| spl0_14
| spl0_194 ),
inference(sat_conversion,[],[f11109]) ).
cnf(s895,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_11
| spl0_14
| spl0_196 ),
inference(sat_conversion,[],[f11117]) ).
cnf(s899,plain,
( ~ spl0_1
| ~ spl0_133
| ~ spl0_136
| spl0_142
| spl0_200 ),
inference(sat_conversion,[],[f11134]) ).
cnf(s909,plain,
( spl0_140
| spl0_208
| spl0_209 ),
inference(sat_conversion,[],[f11429]) ).
cnf(s910,plain,
( spl0_140
| spl0_210
| spl0_211 ),
inference(sat_conversion,[],[f11436]) ).
cnf(s926,plain,
( spl0_143
| ~ spl0_200
| ~ spl0_209 ),
inference(sat_conversion,[],[f11862]) ).
cnf(s930,plain,
( ~ spl0_184
| ~ spl0_208
| ~ spl0_227
| ~ spl0_228 ),
inference(sat_conversion,[],[f11934]) ).
cnf(s943,plain,
( ~ spl0_34
| ~ spl0_226
| ~ spl0_230 ),
inference(sat_conversion,[],[f12093]) ).
cnf(s944,plain,
( ~ spl0_30
| ~ spl0_225
| ~ spl0_226 ),
inference(sat_conversion,[],[f12095]) ).
cnf(s945,plain,
( spl0_149
| spl0_178 ),
inference(sat_conversion,[],[f12106]) ).
cnf(s948,plain,
( spl0_33
| spl0_149
| spl0_178 ),
inference(sat_conversion,[],[f12108]) ).
cnf(s950,plain,
( ~ spl0_34
| ~ spl0_136
| ~ spl0_168 ),
inference(sat_conversion,[],[f12139]) ).
cnf(s951,plain,
( spl0_143
| ~ spl0_168
| ~ spl0_200 ),
inference(sat_conversion,[],[f12140]) ).
cnf(s953,plain,
( ~ spl0_3
| spl0_11
| ~ spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f12148]) ).
cnf(s954,plain,
( ~ spl0_1
| ~ spl0_133
| spl0_135
| spl0_142
| spl0_244 ),
inference(sat_conversion,[],[f12152]) ).
cnf(s955,plain,
( ~ spl0_1
| spl0_135
| spl0_142
| ~ spl0_152
| spl0_198 ),
inference(sat_conversion,[],[f12156]) ).
cnf(s970,plain,
( ~ spl0_47
| spl0_149
| ~ spl0_211
| ~ spl0_228
| ~ spl0_238 ),
inference(sat_conversion,[],[f12260]) ).
cnf(s978,plain,
( spl0_226
| spl0_228
| spl0_248 ),
inference(sat_conversion,[],[f12319]) ).
cnf(s980,plain,
( ~ spl0_137
| ~ spl0_210
| spl0_231 ),
inference(sat_conversion,[],[f12344]) ).
cnf(s985,plain,
( ~ spl0_1
| ~ spl0_137
| ~ spl0_209
| spl0_254
| spl0_256 ),
inference(sat_conversion,[],[f12436]) ).
cnf(s995,plain,
( ~ spl0_168
| ~ spl0_209
| ~ spl0_247 ),
inference(sat_conversion,[],[f12755]) ).
cnf(s1004,plain,
( ~ spl0_34
| ~ spl0_137
| ~ spl0_168 ),
inference(sat_conversion,[],[f12786]) ).
cnf(s1006,plain,
( ~ spl0_16
| spl0_126
| ~ spl0_156 ),
inference(sat_conversion,[],[f12810]) ).
cnf(s1008,plain,
( ~ spl0_125
| ~ spl0_134
| ~ spl0_178
| ~ spl0_179 ),
inference(sat_conversion,[],[f12854]) ).
cnf(s1009,plain,
( ~ spl0_134
| spl0_136
| ~ spl0_151
| spl0_257 ),
inference(sat_conversion,[],[f12858]) ).
cnf(s1010,plain,
( ~ spl0_47
| ~ spl0_134
| spl0_145
| ~ spl0_169
| ~ spl0_178 ),
inference(sat_conversion,[],[f12860]) ).
cnf(s1011,plain,
( ~ spl0_41
| ~ spl0_125
| spl0_126
| ~ spl0_134
| ~ spl0_151
| ~ spl0_157 ),
inference(sat_conversion,[],[f12861]) ).
cnf(s1015,plain,
( spl0_230
| spl0_236 ),
inference(sat_conversion,[],[f12872]) ).
cnf(s1019,plain,
( ~ spl0_14
| ~ spl0_30
| ~ spl0_34 ),
inference(sat_conversion,[],[f12894]) ).
cnf(s1020,plain,
( ~ spl0_126
| ~ spl0_132
| ~ spl0_152 ),
inference(sat_conversion,[],[f12895]) ).
cnf(s1029,plain,
( ~ spl0_37
| spl0_149
| ~ spl0_156 ),
inference(sat_conversion,[],[f12981]) ).
cnf(s1034,plain,
( spl0_152
| spl0_260 ),
inference(sat_conversion,[],[f13034]) ).
cnf(s1035,plain,
( ~ spl0_133
| ~ spl0_135
| ~ spl0_137 ),
inference(sat_conversion,[],[f13051]) ).
cnf(s1036,plain,
( ~ spl0_34
| ~ spl0_135
| ~ spl0_145 ),
inference(sat_conversion,[],[f13069]) ).
cnf(s1047,plain,
( spl0_20
| spl0_21
| spl0_34
| ~ spl0_38 ),
inference(sat_conversion,[],[f13154]) ).
cnf(s1048,plain,
( ~ spl0_12
| spl0_14
| spl0_20
| ~ spl0_161 ),
inference(sat_conversion,[],[f13155]) ).
cnf(s1052,plain,
( ~ spl0_1
| spl0_20
| ~ spl0_30
| spl0_34
| spl0_265 ),
inference(sat_conversion,[],[f13164]) ).
cnf(s1053,plain,
( ~ spl0_1
| spl0_34
| spl0_135
| spl0_142
| spl0_143
| spl0_171 ),
inference(sat_conversion,[],[f13166]) ).
cnf(s1054,plain,
( ~ spl0_1
| spl0_14
| spl0_20
| spl0_21
| spl0_33
| spl0_34 ),
inference(sat_conversion,[],[f13167]) ).
cnf(s1057,plain,
( ~ spl0_4
| ~ spl0_135
| ~ spl0_152 ),
inference(sat_conversion,[],[f13214]) ).
cnf(s1059,plain,
( ~ spl0_30
| ~ spl0_97
| ~ spl0_168 ),
inference(sat_conversion,[],[f13304]) ).
cnf(s1061,plain,
( ~ spl0_132
| ~ spl0_135
| ~ spl0_137 ),
inference(sat_conversion,[],[f13322]) ).
cnf(s1062,plain,
( ~ spl0_3
| spl0_126
| ~ spl0_134
| ~ spl0_151
| spl0_258 ),
inference(sat_conversion,[],[f13323]) ).
cnf(s1068,plain,
( ~ spl0_123
| ~ spl0_131
| ~ spl0_260 ),
inference(sat_conversion,[],[f13407]) ).
cnf(s1070,plain,
( ~ spl0_30
| ~ spl0_126
| ~ spl0_168 ),
inference(sat_conversion,[],[f13419]) ).
cnf(s1072,plain,
( ~ spl0_14
| ~ spl0_135
| ~ spl0_141 ),
inference(sat_conversion,[],[f13422]) ).
cnf(s1073,plain,
( ~ spl0_131
| ~ spl0_155
| ~ spl0_188
| ~ spl0_191 ),
inference(sat_conversion,[],[f13423]) ).
cnf(s1075,plain,
( ~ spl0_32
| ~ spl0_134
| spl0_149
| ~ spl0_155
| spl0_266 ),
inference(sat_conversion,[],[f13429]) ).
cnf(s1078,plain,
( ~ spl0_134
| ~ spl0_155
| ~ spl0_189 ),
inference(sat_conversion,[],[f13485]) ).
cnf(s1079,plain,
( spl0_4
| ~ spl0_8
| ~ spl0_16 ),
inference(sat_conversion,[],[f13486]) ).
cnf(s1081,plain,
( ~ spl0_47
| ~ spl0_131
| spl0_149
| ~ spl0_173
| ~ spl0_191 ),
inference(sat_conversion,[],[f13531]) ).
cnf(s1087,plain,
( ~ spl0_21
| ~ spl0_141
| ~ spl0_145 ),
inference(sat_conversion,[],[f13609]) ).
cnf(s1092,plain,
( ~ spl0_14
| ~ spl0_97
| ~ spl0_137 ),
inference(sat_conversion,[],[f13623]) ).
cnf(s1095,plain,
( ~ spl0_4
| ~ spl0_97
| ~ spl0_136 ),
inference(sat_conversion,[],[f13676]) ).
cnf(s1099,plain,
( ~ spl0_53
| ~ spl0_97
| ~ spl0_137
| ~ spl0_209 ),
inference(sat_conversion,[],[f13716]) ).
cnf(s1109,plain,
( spl0_136
| ~ spl0_208
| ~ spl0_231
| spl0_268 ),
inference(sat_conversion,[],[f13783]) ).
cnf(s1112,plain,
( ~ spl0_3
| spl0_126
| ~ spl0_208
| ~ spl0_231
| spl0_240 ),
inference(sat_conversion,[],[f13790]) ).
cnf(s1114,plain,
( ~ spl0_134
| ~ spl0_147
| ~ spl0_178 ),
inference(sat_conversion,[],[f13806]) ).
cnf(s1127,plain,
( ~ spl0_146
| ~ spl0_208
| ~ spl0_231
| ~ spl0_236 ),
inference(sat_conversion,[],[f13895]) ).
cnf(s1146,plain,
~ spl0_241,
inference(sat_conversion,[],[f14104]) ).
cnf(s1150,plain,
( ~ spl0_125
| ~ spl0_127
| ~ spl0_208
| ~ spl0_240 ),
inference(sat_conversion,[],[f14159]) ).
cnf(s1151,plain,
( ~ spl0_125
| ~ spl0_178
| ~ spl0_208
| ~ spl0_232 ),
inference(sat_conversion,[],[f14188]) ).
cnf(s1155,plain,
( ~ spl0_125
| ~ spl0_131
| ~ spl0_150
| spl0_259 ),
inference(sat_conversion,[],[f14309]) ).
cnf(s1158,plain,
( ~ spl0_35
| spl0_149
| ~ spl0_169
| ~ spl0_274 ),
inference(sat_conversion,[],[f14365]) ).
cnf(s1159,plain,
( ~ spl0_12
| ~ spl0_16
| spl0_242
| ~ spl0_268 ),
inference(sat_conversion,[],[f14366]) ).
cnf(s1161,plain,
( ~ spl0_128
| ~ spl0_134
| ~ spl0_155
| ~ spl0_260 ),
inference(sat_conversion,[],[f14393]) ).
cnf(s1165,plain,
( ~ spl0_7
| spl0_126
| ~ spl0_131
| ~ spl0_155
| ~ spl0_260 ),
inference(sat_conversion,[],[f14452]) ).
cnf(s1167,plain,
( ~ spl0_169
| spl0_190
| ~ spl0_211
| ~ spl0_239 ),
inference(sat_conversion,[],[f14472]) ).
cnf(s1169,plain,
( ~ spl0_125
| ~ spl0_211
| ~ spl0_269
| spl0_274 ),
inference(sat_conversion,[],[f14537]) ).
cnf(s1173,plain,
( ~ spl0_134
| spl0_190
| spl0_277 ),
inference(sat_conversion,[],[f14673]) ).
cnf(s1174,plain,
( ~ spl0_134
| spl0_152
| spl0_189
| spl0_278 ),
inference(sat_conversion,[],[f14677]) ).
cnf(s1175,plain,
( ~ spl0_127
| ~ spl0_131
| spl0_141
| spl0_279 ),
inference(sat_conversion,[],[f14742]) ).
cnf(s1176,plain,
( spl0_123
| spl0_141
| ~ spl0_279 ),
inference(sat_conversion,[],[f14758]) ).
cnf(s1177,plain,
( spl0_190
| ~ spl0_208
| spl0_280 ),
inference(sat_conversion,[],[f14783]) ).
cnf(s1183,plain,
( ~ spl0_208
| ~ spl0_255
| spl0_283
| spl0_287 ),
inference(sat_conversion,[],[f15244]) ).
cnf(s1196,plain,
( ~ spl0_226
| ~ spl0_255
| spl0_283
| spl0_299 ),
inference(sat_conversion,[],[f15300]) ).
cnf(s1199,plain,
( ~ spl0_230
| ~ spl0_255
| spl0_283 ),
inference(sat_conversion,[],[f15312]) ).
cnf(s1206,plain,
( ~ spl0_13
| spl0_141
| spl0_152 ),
inference(sat_conversion,[],[f15341]) ).
cnf(s1234,plain,
( spl0_34
| ~ spl0_36
| ~ spl0_53
| spl0_86 ),
inference(sat_conversion,[],[f15910]) ).
cnf(s1241,plain,
( ~ spl0_53
| ~ spl0_198
| spl0_255 ),
inference(sat_conversion,[],[f16490]) ).
cnf(s1254,plain,
( ~ spl0_137
| spl0_200
| ~ spl0_244 ),
inference(sat_conversion,[],[f17186]) ).
cnf(s1257,plain,
( ~ spl0_1
| spl0_20
| ~ spl0_30
| spl0_34
| ~ spl0_53
| spl0_70 ),
inference(sat_conversion,[],[f18757]) ).
cnf(s1258,plain,
( spl0_33
| spl0_313
| spl0_314 ),
inference(sat_conversion,[],[f20143]) ).
cnf(s1259,plain,
( spl0_140
| spl0_315
| spl0_316 ),
inference(sat_conversion,[],[f20150]) ).
cnf(s1260,plain,
( spl0_33
| spl0_317
| spl0_318 ),
inference(sat_conversion,[],[f20157]) ).
cnf(s1261,plain,
( spl0_140
| spl0_319
| spl0_320 ),
inference(sat_conversion,[],[f20164]) ).
cnf(s1262,plain,
( ~ spl0_86
| ~ spl0_313 ),
inference(sat_conversion,[],[f20273]) ).
cnf(s1264,plain,
( ~ spl0_145
| ~ spl0_299
| ~ spl0_313 ),
inference(sat_conversion,[],[f20290]) ).
cnf(s1284,plain,
( ~ spl0_7
| ~ spl0_155
| spl0_221
| ~ spl0_260
| ~ spl0_314 ),
inference(sat_conversion,[],[f20390]) ).
cnf(s1285,plain,
( ~ spl0_267
| ~ spl0_314
| ~ spl0_323
| ~ spl0_324 ),
inference(sat_conversion,[],[f20397]) ).
cnf(s1286,plain,
( spl0_141
| spl0_286
| ~ spl0_314
| ~ spl0_324 ),
inference(sat_conversion,[],[f20398]) ).
cnf(s1289,plain,
( ~ spl0_154
| ~ spl0_314
| ~ spl0_324
| spl0_327 ),
inference(sat_conversion,[],[f20411]) ).
cnf(s1297,plain,
( spl0_219
| ~ spl0_331 ),
inference(sat_conversion,[],[f20495]) ).
cnf(s1299,plain,
( spl0_221
| spl0_222
| spl0_323 ),
inference(sat_conversion,[],[f20503]) ).
cnf(s1303,plain,
( spl0_219
| ~ spl0_221 ),
inference(sat_conversion,[],[f20541]) ).
cnf(s1304,plain,
( ~ spl0_11
| spl0_217
| ~ spl0_221 ),
inference(sat_conversion,[],[f20542]) ).
cnf(s1305,plain,
( spl0_285
| ~ spl0_299 ),
inference(sat_conversion,[],[f20600]) ).
cnf(s1307,plain,
( ~ spl0_18
| spl0_20
| ~ spl0_221
| ~ spl0_299 ),
inference(sat_conversion,[],[f20605]) ).
cnf(s1309,plain,
( spl0_138
| spl0_292
| spl0_332 ),
inference(sat_conversion,[],[f20638]) ).
cnf(s1312,plain,
( spl0_292
| spl0_332 ),
inference(sat_conversion,[],[f20644]) ).
cnf(s1313,plain,
( ~ spl0_149
| ~ spl0_160
| spl0_331
| ~ spl0_332 ),
inference(sat_conversion,[],[f20750]) ).
cnf(s1314,plain,
( ~ spl0_86
| ~ spl0_332 ),
inference(sat_conversion,[],[f20752]) ).
cnf(s1339,plain,
( ~ spl0_47
| spl0_149
| ~ spl0_292
| ~ spl0_296
| ~ spl0_340 ),
inference(sat_conversion,[],[f20897]) ).
cnf(s1341,plain,
( ~ spl0_19
| ~ spl0_125
| spl0_144
| ~ spl0_292
| spl0_299 ),
inference(sat_conversion,[],[f20902]) ).
cnf(s1346,plain,
( spl0_285
| ~ spl0_298 ),
inference(sat_conversion,[],[f20998]) ).
cnf(s1351,plain,
( ~ spl0_15
| spl0_141
| spl0_159
| ~ spl0_317
| ~ spl0_324
| ~ spl0_339 ),
inference(sat_conversion,[],[f21064]) ).
cnf(s1353,plain,
( ~ spl0_277
| ~ spl0_287
| ~ spl0_292
| ~ spl0_317 ),
inference(sat_conversion,[],[f21069]) ).
cnf(s1354,plain,
( ~ spl0_148
| ~ spl0_292
| ~ spl0_317
| ~ spl0_340 ),
inference(sat_conversion,[],[f21070]) ).
cnf(s1355,plain,
( ~ spl0_86
| ~ spl0_318 ),
inference(sat_conversion,[],[f21186]) ).
cnf(s1381,plain,
( spl0_299
| spl0_340 ),
inference(sat_conversion,[],[f21332]) ).
cnf(s1383,plain,
( ~ spl0_20
| ~ spl0_226
| ~ spl0_254 ),
inference(sat_conversion,[],[f21334]) ).
cnf(s1392,plain,
( ~ spl0_20
| ~ spl0_142
| ~ spl0_145 ),
inference(sat_conversion,[],[f21375]) ).
cnf(s1397,plain,
( spl0_283
| spl0_339 ),
inference(sat_conversion,[],[f21388]) ).
cnf(s1405,plain,
( ~ spl0_1
| spl0_20
| spl0_33
| spl0_34
| ~ spl0_196
| spl0_355 ),
inference(sat_conversion,[],[f21427]) ).
cnf(s1415,plain,
( ~ spl0_1
| ~ spl0_35
| ~ spl0_37
| spl0_140
| spl0_283
| spl0_299 ),
inference(sat_conversion,[],[f21452]) ).
cnf(s1424,plain,
( ~ spl0_1
| spl0_33
| ~ spl0_135
| ~ spl0_145
| ~ spl0_196
| spl0_355 ),
inference(sat_conversion,[],[f21469]) ).
cnf(s1426,plain,
( ~ spl0_1
| spl0_34
| ~ spl0_35
| spl0_140
| spl0_283
| spl0_299 ),
inference(sat_conversion,[],[f21473]) ).
cnf(s1438,plain,
( spl0_231
| spl0_254 ),
inference(sat_conversion,[],[f21512]) ).
cnf(s1440,plain,
( spl0_213
| spl0_300 ),
inference(sat_conversion,[],[f21527]) ).
cnf(s1444,plain,
( ~ spl0_134
| ~ spl0_151
| ~ spl0_155
| ~ spl0_275 ),
inference(sat_conversion,[],[f21545]) ).
cnf(s1448,plain,
( ~ spl0_18
| ~ spl0_21
| ~ spl0_226
| spl0_254 ),
inference(sat_conversion,[],[f21566]) ).
cnf(s1453,plain,
( ~ spl0_11
| ~ spl0_30
| spl0_142
| ~ spl0_171 ),
inference(sat_conversion,[],[f21572]) ).
cnf(s1456,plain,
( ~ spl0_18
| ~ spl0_21
| spl0_142
| ~ spl0_145 ),
inference(sat_conversion,[],[f21582]) ).
cnf(s1466,plain,
( ~ spl0_19
| ~ spl0_134
| spl0_149
| ~ spl0_151
| spl0_179 ),
inference(sat_conversion,[],[f21611]) ).
cnf(s1498,plain,
( spl0_33
| spl0_34
| spl0_140
| spl0_142
| ~ spl0_171
| ~ spl0_196 ),
inference(sat_conversion,[],[f21669]) ).
cnf(s1516,plain,
( ~ spl0_131
| spl0_142
| ~ spl0_153
| spl0_372 ),
inference(sat_conversion,[],[f21739]) ).
cnf(s1531,plain,
( ~ spl0_41
| ~ spl0_125
| ~ spl0_131
| ~ spl0_151
| spl0_152
| ~ spl0_153 ),
inference(sat_conversion,[],[f21803]) ).
cnf(s1551,plain,
( ~ spl0_1
| spl0_33
| ~ spl0_35
| ~ spl0_37
| spl0_137
| spl0_149 ),
inference(sat_conversion,[],[f21846]) ).
cnf(s1553,plain,
( ~ spl0_1
| spl0_4
| spl0_14
| ~ spl0_265
| spl0_385 ),
inference(sat_conversion,[],[f21848]) ).
cnf(s1564,plain,
( ~ spl0_131
| spl0_171
| ~ spl0_178
| spl0_387 ),
inference(sat_conversion,[],[f21880]) ).
cnf(s1569,plain,
( ~ spl0_19
| spl0_149
| ~ spl0_208
| ~ spl0_231
| spl0_232 ),
inference(sat_conversion,[],[f21914]) ).
cnf(s1576,plain,
( ~ spl0_11
| ~ spl0_14
| ~ spl0_135
| spl0_140
| spl0_142
| spl0_152 ),
inference(sat_conversion,[],[f21939]) ).
cnf(s1580,plain,
( ~ spl0_11
| spl0_140
| spl0_141
| spl0_142
| spl0_152 ),
inference(sat_conversion,[],[f21947]) ).
cnf(s1582,plain,
( ~ spl0_1
| spl0_20
| spl0_34
| spl0_140
| spl0_283
| spl0_299 ),
inference(sat_conversion,[],[f21951]) ).
cnf(s1630,plain,
~ spl0_222,
inference(sat_conversion,[],[f22272]) ).
cnf(s1668,plain,
~ spl0_334,
inference(sat_conversion,[],[f22496]) ).
cnf(s1670,plain,
( ~ spl0_20
| spl0_399 ),
inference(sat_conversion,[],[f22528]) ).
cnf(s1671,plain,
( ~ spl0_135
| ~ spl0_145
| ~ spl0_399 ),
inference(sat_conversion,[],[f22538]) ).
cnf(s1672,plain,
( ~ spl0_226
| ~ spl0_230
| ~ spl0_399 ),
inference(sat_conversion,[],[f22540]) ).
cnf(s1676,plain,
( ~ spl0_27
| spl0_145
| ~ spl0_169
| ~ spl0_278 ),
inference(sat_conversion,[],[f22544]) ).
cnf(s1677,plain,
( spl0_145
| ~ spl0_169
| ~ spl0_178
| ~ spl0_277 ),
inference(sat_conversion,[],[f22545]) ).
cnf(s1679,plain,
( ~ spl0_133
| ~ spl0_135
| ~ spl0_136 ),
inference(sat_conversion,[],[f22645]) ).
cnf(s1681,plain,
( ~ spl0_1
| ~ spl0_133
| ~ spl0_135
| ~ spl0_194
| spl0_386 ),
inference(sat_conversion,[],[f22652]) ).
cnf(s1688,plain,
( ~ spl0_35
| ~ spl0_153
| spl0_230
| ~ spl0_235 ),
inference(sat_conversion,[],[f22660]) ).
cnf(s1691,plain,
( ~ spl0_1
| spl0_20
| spl0_33
| spl0_34
| spl0_137
| spl0_149 ),
inference(sat_conversion,[],[f22663]) ).
cnf(s1692,plain,
( ~ spl0_19
| ~ spl0_125
| ~ spl0_131
| spl0_144
| spl0_145 ),
inference(sat_conversion,[],[f22664]) ).
cnf(s1694,plain,
( ~ spl0_4
| spl0_397 ),
inference(sat_conversion,[],[f22668]) ).
cnf(s1698,plain,
( ~ spl0_12
| spl0_97
| ~ spl0_259 ),
inference(sat_conversion,[],[f22856]) ).
cnf(s1699,plain,
( ~ spl0_129
| ~ spl0_134
| ~ spl0_178
| ~ spl0_266 ),
inference(sat_conversion,[],[f22895]) ).
cnf(s1712,plain,
( spl0_20
| spl0_33
| ~ spl0_217
| ~ spl0_299 ),
inference(sat_conversion,[],[f22970]) ).
cnf(s1716,plain,
( spl0_138
| spl0_287
| spl0_400 ),
inference(sat_conversion,[],[f23023]) ).
cnf(s1718,plain,
( spl0_287
| spl0_400 ),
inference(sat_conversion,[],[f23025]) ).
cnf(s1720,plain,
( ~ spl0_136
| ~ spl0_283
| ~ spl0_400 ),
inference(sat_conversion,[],[f23057]) ).
cnf(s1732,plain,
( spl0_97
| ~ spl0_134
| spl0_177 ),
inference(sat_conversion,[],[f23085]) ).
cnf(s1735,plain,
( ~ spl0_47
| ~ spl0_134
| spl0_145
| ~ spl0_169
| ~ spl0_178 ),
inference(sat_conversion,[],[f23088]) ).
cnf(s1749,plain,
( ~ spl0_21
| ~ spl0_97
| ~ spl0_149 ),
inference(sat_conversion,[],[f23246]) ).
cnf(s1760,plain,
( ~ spl0_1
| ~ spl0_97
| spl0_136
| spl0_137
| spl0_365 ),
inference(sat_conversion,[],[f23305]) ).
cnf(s1766,plain,
( ~ spl0_1
| spl0_33
| ~ spl0_196
| ~ spl0_283
| ~ spl0_299
| spl0_355 ),
inference(sat_conversion,[],[f23331]) ).
cnf(s1770,plain,
( ~ spl0_39
| spl0_126
| spl0_136
| spl0_137 ),
inference(sat_conversion,[],[f23341]) ).
cnf(s1775,plain,
( ~ spl0_1
| spl0_34
| spl0_136
| spl0_137
| spl0_139
| spl0_168 ),
inference(sat_conversion,[],[f23357]) ).
cnf(s1779,plain,
( ~ spl0_1
| spl0_4
| spl0_14
| spl0_126
| spl0_137 ),
inference(sat_conversion,[],[f23363]) ).
cnf(s1785,plain,
( ~ spl0_137
| ~ spl0_149
| ~ spl0_399 ),
inference(sat_conversion,[],[f23376]) ).
cnf(s1795,plain,
( ~ spl0_1
| spl0_4
| spl0_14
| ~ spl0_30
| spl0_222
| spl0_283
| ~ spl0_299 ),
inference(sat_conversion,[],[f23399]) ).
cnf(s1796,plain,
( ~ spl0_14
| spl0_397 ),
inference(sat_conversion,[],[f23402]) ).
cnf(s1798,plain,
( spl0_33
| spl0_34
| spl0_136
| ~ spl0_168
| ~ spl0_194 ),
inference(sat_conversion,[],[f23457]) ).
cnf(s1803,plain,
( spl0_140
| spl0_141
| spl0_155 ),
inference(sat_conversion,[],[f23470]) ).
cnf(s1804,plain,
( ~ spl0_86
| ~ spl0_133 ),
inference(sat_conversion,[],[f23530]) ).
cnf(s1811,plain,
( ~ spl0_123
| ~ spl0_292
| ~ spl0_323 ),
inference(sat_conversion,[],[f23641]) ).
cnf(s1816,plain,
( ~ spl0_131
| ~ spl0_292
| ~ spl0_314
| spl0_329 ),
inference(sat_conversion,[],[f23703]) ).
cnf(s1821,plain,
( ~ spl0_192
| ~ spl0_317
| ~ spl0_323 ),
inference(sat_conversion,[],[f23755]) ).
cnf(s1822,plain,
( ~ spl0_127
| ~ spl0_134
| ~ spl0_192 ),
inference(sat_conversion,[],[f23756]) ).
cnf(s1828,plain,
( ~ spl0_47
| ~ spl0_173
| ~ spl0_191
| spl0_299
| ~ spl0_314 ),
inference(sat_conversion,[],[f23762]) ).
cnf(s1840,plain,
( ~ spl0_190
| ~ spl0_287
| ~ spl0_292 ),
inference(sat_conversion,[],[f23898]) ).
cnf(s1842,plain,
( ~ spl0_131
| ~ spl0_134
| ~ spl0_190 ),
inference(sat_conversion,[],[f23902]) ).
cnf(s1847,plain,
( spl0_128
| ~ spl0_129
| ~ spl0_211
| spl0_242 ),
inference(sat_conversion,[],[f23913]) ).
cnf(s1855,plain,
( ~ spl0_71
| ~ spl0_132
| ~ spl0_137 ),
inference(sat_conversion,[],[f23987]) ).
cnf(s1856,plain,
( ~ spl0_20
| ~ spl0_136
| ~ spl0_168 ),
inference(sat_conversion,[],[f24005]) ).
cnf(s1859,plain,
( ~ spl0_141
| ~ spl0_221
| ~ spl0_313 ),
inference(sat_conversion,[],[f24026]) ).
cnf(s1860,plain,
( ~ spl0_53
| ~ spl0_133
| ~ spl0_137
| ~ spl0_221
| ~ spl0_313 ),
inference(sat_conversion,[],[f24029]) ).
cnf(s1864,plain,
( ~ spl0_30
| ~ spl0_219
| ~ spl0_298 ),
inference(sat_conversion,[],[f24065]) ).
cnf(s1866,plain,
( ~ spl0_20
| ~ spl0_213
| ~ spl0_285 ),
inference(sat_conversion,[],[f24133]) ).
cnf(s1873,plain,
( ~ spl0_47
| ~ spl0_169
| ~ spl0_178
| ~ spl0_287
| spl0_299 ),
inference(sat_conversion,[],[f24230]) ).
cnf(s1876,plain,
( ~ spl0_283
| ~ spl0_299
| ~ spl0_399 ),
inference(sat_conversion,[],[f24255]) ).
cnf(s1878,plain,
( ~ spl0_53
| ~ spl0_133
| ~ spl0_137
| spl0_283
| ~ spl0_313 ),
inference(sat_conversion,[],[f24261]) ).
cnf(s1880,plain,
( ~ spl0_132
| ~ spl0_313
| ~ spl0_400 ),
inference(sat_conversion,[],[f24267]) ).
cnf(s1881,plain,
( ~ spl0_47
| spl0_145
| ~ spl0_296
| ~ spl0_317
| ~ spl0_340 ),
inference(sat_conversion,[],[f24269]) ).
cnf(s1905,plain,
( ~ spl0_53
| ~ spl0_126
| ~ spl0_210
| spl0_230 ),
inference(sat_conversion,[],[f24395]) ).
cnf(s1906,plain,
( ~ spl0_53
| ~ spl0_126
| ~ spl0_132
| spl0_135 ),
inference(sat_conversion,[],[f24396]) ).
cnf(s1907,plain,
( ~ spl0_137
| ~ spl0_283
| ~ spl0_332 ),
inference(sat_conversion,[],[f24398]) ).
cnf(s1918,plain,
( ~ spl0_2
| ~ spl0_132
| spl0_137
| ~ spl0_142 ),
inference(sat_conversion,[],[f24470]) ).
cnf(s1919,plain,
( ~ spl0_2
| spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f24472]) ).
cnf(s1922,plain,
( ~ spl0_34
| spl0_399 ),
inference(sat_conversion,[],[f24480]) ).
cnf(s1926,plain,
( spl0_128
| ~ spl0_129
| ~ spl0_131
| spl0_141 ),
inference(sat_conversion,[],[f24578]) ).
cnf(s1934,plain,
( ~ spl0_34
| ~ spl0_283
| ~ spl0_298 ),
inference(sat_conversion,[],[f24614]) ).
cnf(s1935,plain,
( ~ spl0_16
| spl0_136
| ~ spl0_189 ),
inference(sat_conversion,[],[f24635]) ).
cnf(s1936,plain,
( ~ spl0_34
| ~ spl0_135
| ~ spl0_171 ),
inference(sat_conversion,[],[f24647]) ).
cnf(s1946,plain,
( ~ spl0_14
| ~ spl0_141
| ~ spl0_142 ),
inference(sat_conversion,[],[f24729]) ).
cnf(s1947,plain,
( ~ spl0_12
| ~ spl0_123
| spl0_137 ),
inference(sat_conversion,[],[f24749]) ).
cnf(s1962,plain,
( ~ spl0_12
| ~ spl0_152
| ~ spl0_192
| ~ spl0_397 ),
inference(sat_conversion,[],[f24833]) ).
cnf(s1966,plain,
( ~ spl0_153
| ~ spl0_287
| ~ spl0_403 ),
inference(sat_conversion,[],[f24872]) ).
cnf(s1994,plain,
( ~ spl0_133
| ~ spl0_318
| ~ spl0_332 ),
inference(sat_conversion,[],[f25122]) ).
cnf(s1995,plain,
( ~ spl0_142
| ~ spl0_283
| ~ spl0_313 ),
inference(sat_conversion,[],[f25123]) ).
cnf(s2003,plain,
( ~ spl0_1
| ~ spl0_125
| ~ spl0_153
| spl0_283
| ~ spl0_287 ),
inference(sat_conversion,[],[f25235]) ).
cnf(s2006,plain,
( ~ spl0_133
| ~ spl0_136
| ~ spl0_142 ),
inference(sat_conversion,[],[f25251]) ).
cnf(s2015,plain,
( ~ spl0_134
| ~ spl0_151
| ~ spl0_173
| ~ spl0_183 ),
inference(sat_conversion,[],[f25337]) ).
cnf(s2016,plain,
( ~ spl0_134
| spl0_168
| spl0_172
| ~ spl0_173 ),
inference(sat_conversion,[],[f25338]) ).
cnf(s2020,plain,
( spl0_97
| ~ spl0_134
| ~ spl0_155
| spl0_267 ),
inference(sat_conversion,[],[f25341]) ).
cnf(s2022,plain,
( ~ spl0_135
| ~ spl0_152
| ~ spl0_397 ),
inference(sat_conversion,[],[f25351]) ).
cnf(s2072,plain,
( ~ spl0_14
| ~ spl0_420
| ~ spl0_434 ),
inference(sat_conversion,[],[f25707]) ).
cnf(s2090,plain,
( ~ spl0_145
| ~ spl0_285
| ~ spl0_318 ),
inference(sat_conversion,[],[f25846]) ).
cnf(s2102,plain,
( ~ spl0_133
| ~ spl0_145
| ~ spl0_168 ),
inference(sat_conversion,[],[f25939]) ).
cnf(s2117,plain,
( ~ spl0_71
| spl0_137 ),
inference(sat_conversion,[],[f26078]) ).
cnf(s2132,plain,
( spl0_128
| ~ spl0_129
| ~ spl0_292
| spl0_331 ),
inference(sat_conversion,[],[f26157]) ).
cnf(s2141,plain,
( ~ spl0_133
| ~ spl0_318
| ~ spl0_400 ),
inference(sat_conversion,[],[f26206]) ).
cnf(s2151,plain,
( spl0_418
| spl0_425 ),
inference(sat_conversion,[],[f26256]) ).
cnf(s2153,plain,
( ~ spl0_128
| ~ spl0_287
| ~ spl0_323
| ~ spl0_324 ),
inference(sat_conversion,[],[f26286]) ).
cnf(s2155,plain,
( ~ spl0_97
| ~ spl0_132
| ~ spl0_141 ),
inference(sat_conversion,[],[f26288]) ).
cnf(s2160,plain,
( ~ spl0_183
| ~ spl0_287
| ~ spl0_296
| ~ spl0_300 ),
inference(sat_conversion,[],[f26293]) ).
cnf(s2169,plain,
( ~ spl0_14
| ~ spl0_213
| ~ spl0_331 ),
inference(sat_conversion,[],[f26349]) ).
cnf(s2174,plain,
( ~ spl0_152
| ~ spl0_221
| ~ spl0_313 ),
inference(sat_conversion,[],[f26369]) ).
cnf(s2177,plain,
( ~ spl0_14
| ~ spl0_21
| ~ spl0_399 ),
inference(sat_conversion,[],[f26380]) ).
cnf(s2181,plain,
( ~ spl0_126
| ~ spl0_137
| ~ spl0_397 ),
inference(sat_conversion,[],[f26406]) ).
cnf(s2199,plain,
( ~ spl0_155
| spl0_267
| ~ spl0_317
| spl0_331 ),
inference(sat_conversion,[],[f26590]) ).
cnf(s2209,plain,
( ~ spl0_171
| ~ spl0_299
| ~ spl0_313 ),
inference(sat_conversion,[],[f26641]) ).
cnf(s2221,plain,
( ~ spl0_137
| ~ spl0_213
| ~ spl0_332 ),
inference(sat_conversion,[],[f26683]) ).
cnf(s2227,plain,
( ~ spl0_97
| ~ spl0_221
| ~ spl0_400 ),
inference(sat_conversion,[],[f26704]) ).
cnf(s2234,plain,
( ~ spl0_21
| ~ spl0_285
| ~ spl0_331 ),
inference(sat_conversion,[],[f26757]) ).
cnf(s2241,plain,
( ~ spl0_155
| ~ spl0_260
| ~ spl0_286
| ~ spl0_317 ),
inference(sat_conversion,[],[f26960]) ).
cnf(s2242,plain,
( ~ spl0_131
| ~ spl0_157
| ~ spl0_314
| ~ spl0_402 ),
inference(sat_conversion,[],[f26988]) ).
cnf(s2243,plain,
( ~ spl0_37
| ~ spl0_178
| spl0_299
| ~ spl0_402 ),
inference(sat_conversion,[],[f26989]) ).
cnf(s2245,plain,
( ~ spl0_16
| ~ spl0_125
| spl0_213
| ~ spl0_327 ),
inference(sat_conversion,[],[f27040]) ).
cnf(s2246,plain,
( ~ spl0_134
| ~ spl0_155
| ~ spl0_317
| ~ spl0_327 ),
inference(sat_conversion,[],[f27042]) ).
cnf(s2253,plain,
( ~ spl0_35
| ~ spl0_157
| spl0_283
| ~ spl0_325 ),
inference(sat_conversion,[],[f27205]) ).
cnf(s2270,plain,
( ~ spl0_35
| spl0_168
| ~ spl0_259 ),
inference(sat_conversion,[],[f27269]) ).
cnf(s2271,plain,
( ~ spl0_159
| ~ spl0_317
| ~ spl0_339 ),
inference(sat_conversion,[],[f27302]) ).
cnf(s2280,plain,
( spl0_420
| spl0_428 ),
inference(sat_conversion,[],[f27335]) ).
cnf(s2284,plain,
( ~ spl0_157
| ~ spl0_314
| ~ spl0_403 ),
inference(sat_conversion,[],[f27365]) ).
cnf(s2295,plain,
( ~ spl0_397
| ~ spl0_416
| ~ spl0_420 ),
inference(sat_conversion,[],[f27449]) ).
cnf(s2299,plain,
( ~ spl0_2
| ~ spl0_142
| ~ spl0_320
| spl0_420 ),
inference(sat_conversion,[],[f27553]) ).
cnf(s2300,plain,
( ~ spl0_2
| spl0_20
| spl0_34 ),
inference(sat_conversion,[],[f27555]) ).
cnf(s2301,plain,
( ~ spl0_2
| ~ spl0_136
| ~ spl0_137
| ~ spl0_209 ),
inference(sat_conversion,[],[f27563]) ).
cnf(s2303,plain,
( ~ spl0_2
| ~ spl0_132
| ~ spl0_133
| ~ spl0_136
| ~ spl0_137 ),
inference(sat_conversion,[],[f27567]) ).
cnf(s2304,plain,
( ~ spl0_2
| ~ spl0_136
| spl0_283
| ~ spl0_332 ),
inference(sat_conversion,[],[f27569]) ).
cnf(s2306,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_133
| ~ spl0_137
| ~ spl0_141 ),
inference(sat_conversion,[],[f27573]) ).
cnf(s2316,plain,
~ spl0_248,
inference(sat_conversion,[],[f27705]) ).
cnf(s2318,plain,
( ~ spl0_131
| ~ spl0_144
| ~ spl0_151
| ~ spl0_191 ),
inference(sat_conversion,[],[f27735]) ).
cnf(s2319,plain,
( ~ spl0_131
| ~ spl0_191
| ~ spl0_260
| ~ spl0_363 ),
inference(sat_conversion,[],[f27736]) ).
cnf(s2324,plain,
( ~ spl0_134
| ~ spl0_173
| ~ spl0_181
| ~ spl0_191 ),
inference(sat_conversion,[],[f27770]) ).
cnf(s2330,plain,
( ~ spl0_127
| ~ spl0_134
| ~ spl0_287
| ~ spl0_328 ),
inference(sat_conversion,[],[f27806]) ).
cnf(s2333,plain,
( ~ spl0_131
| ~ spl0_175
| ~ spl0_191 ),
inference(sat_conversion,[],[f27854]) ).
cnf(s2334,plain,
( ~ spl0_175
| ~ spl0_292
| ~ spl0_340 ),
inference(sat_conversion,[],[f27855]) ).
cnf(s2335,plain,
( ~ spl0_135
| ~ spl0_283
| ~ spl0_313 ),
inference(sat_conversion,[],[f27865]) ).
cnf(s2337,plain,
( ~ spl0_125
| ~ spl0_131
| spl0_142
| spl0_146 ),
inference(sat_conversion,[],[f27867]) ).
cnf(s2338,plain,
( ~ spl0_131
| spl0_142
| spl0_150 ),
inference(sat_conversion,[],[f27868]) ).
cnf(s2341,plain,
( spl0_143
| ~ spl0_152
| ~ spl0_265
| ~ spl0_397 ),
inference(sat_conversion,[],[f27888]) ).
cnf(s2346,plain,
( ~ spl0_134
| spl0_135
| spl0_156
| spl0_158 ),
inference(sat_conversion,[],[f27937]) ).
cnf(s2359,plain,
( ~ spl0_168
| ~ spl0_299
| ~ spl0_400 ),
inference(sat_conversion,[],[f27989]) ).
cnf(s2364,plain,
( ~ spl0_4
| ~ spl0_141
| ~ spl0_142 ),
inference(sat_conversion,[],[f28031]) ).
cnf(s2365,plain,
( ~ spl0_149
| ~ spl0_285
| ~ spl0_332 ),
inference(sat_conversion,[],[f28055]) ).
cnf(s2368,plain,
( spl0_168
| ~ spl0_287
| ~ spl0_296
| spl0_442 ),
inference(sat_conversion,[],[f28060]) ).
cnf(s2373,plain,
( ~ spl0_83
| spl0_138
| spl0_142 ),
inference(sat_conversion,[],[f28080]) ).
cnf(s2384,plain,
( ~ spl0_125
| spl0_146
| spl0_213
| ~ spl0_292 ),
inference(sat_conversion,[],[f28168]) ).
cnf(s2387,plain,
( ~ spl0_14
| ~ spl0_283
| ~ spl0_331 ),
inference(sat_conversion,[],[f28180]) ).
cnf(s2388,plain,
( spl0_97
| ~ spl0_287
| spl0_407 ),
inference(sat_conversion,[],[f28181]) ).
cnf(s2389,plain,
( ~ spl0_169
| ~ spl0_292
| spl0_298
| spl0_338 ),
inference(sat_conversion,[],[f28182]) ).
cnf(s2393,plain,
( ~ spl0_12
| ~ spl0_153
| spl0_283
| ~ spl0_284 ),
inference(sat_conversion,[],[f28186]) ).
cnf(s2401,plain,
( ~ spl0_156
| ~ spl0_292
| ~ spl0_339 ),
inference(sat_conversion,[],[f28247]) ).
cnf(s2408,plain,
( ~ spl0_4
| ~ spl0_126
| ~ spl0_136 ),
inference(sat_conversion,[],[f28284]) ).
cnf(s2417,plain,
( ~ spl0_149
| ~ spl0_299
| ~ spl0_400 ),
inference(sat_conversion,[],[f28333]) ).
cnf(s2421,plain,
( spl0_156
| spl0_283
| ~ spl0_287
| spl0_402 ),
inference(sat_conversion,[],[f28361]) ).
cnf(s2423,plain,
( spl0_142
| ~ spl0_314
| spl0_435 ),
inference(sat_conversion,[],[f28392]) ).
cnf(s2424,plain,
( spl0_142
| ~ spl0_300
| ~ spl0_314
| spl0_413 ),
inference(sat_conversion,[],[f28393]) ).
cnf(s2434,plain,
( spl0_33
| spl0_137
| spl0_138
| ~ spl0_355 ),
inference(sat_conversion,[],[f28439]) ).
cnf(s2441,plain,
( ~ spl0_127
| ~ spl0_287
| ~ spl0_345 ),
inference(sat_conversion,[],[f28513]) ).
cnf(s2442,plain,
( ~ spl0_260
| ~ spl0_314
| ~ spl0_345 ),
inference(sat_conversion,[],[f28514]) ).
cnf(s2444,plain,
( ~ spl0_34
| ~ spl0_247
| ~ spl0_254 ),
inference(sat_conversion,[],[f28528]) ).
cnf(s2447,plain,
( ~ spl0_191
| ~ spl0_314
| ~ spl0_341 ),
inference(sat_conversion,[],[f28584]) ).
cnf(s2448,plain,
( ~ spl0_27
| spl0_221
| ~ spl0_341 ),
inference(sat_conversion,[],[f28585]) ).
cnf(s2449,plain,
( ~ spl0_35
| spl0_283
| ~ spl0_341 ),
inference(sat_conversion,[],[f28586]) ).
cnf(s2450,plain,
( ~ spl0_257
| ~ spl0_300
| ~ spl0_314
| ~ spl0_339 ),
inference(sat_conversion,[],[f28610]) ).
cnf(s2454,plain,
( ~ spl0_149
| ~ spl0_210
| ~ spl0_226 ),
inference(sat_conversion,[],[f28625]) ).
cnf(s2459,plain,
( ~ spl0_1
| ~ spl0_35
| spl0_36
| ~ spl0_37 ),
inference(sat_conversion,[],[f28744]) ).
cnf(s2460,plain,
( ~ spl0_1
| ~ spl0_151
| ~ spl0_157
| spl0_283
| ~ spl0_314 ),
inference(sat_conversion,[],[f28746]) ).
cnf(s2461,plain,
( ~ spl0_1
| spl0_137
| ~ spl0_211
| ~ spl0_231
| ~ spl0_236 ),
inference(sat_conversion,[],[f28747]) ).
cnf(s2462,plain,
( ~ spl0_1
| spl0_137
| ~ spl0_292
| ~ spl0_300
| ~ spl0_339 ),
inference(sat_conversion,[],[f28748]) ).
cnf(s2463,plain,
( ~ spl0_20
| ~ spl0_136
| ~ spl0_149 ),
inference(sat_conversion,[],[f28749]) ).
cnf(s2464,plain,
( ~ spl0_97
| ~ spl0_133
| ~ spl0_141 ),
inference(sat_conversion,[],[f28750]) ).
cnf(s2467,plain,
( ~ spl0_225
| ~ spl0_230
| ~ spl0_397 ),
inference(sat_conversion,[],[f28754]) ).
cnf(s2470,plain,
( ~ spl0_133
| ~ spl0_145
| ~ spl0_149 ),
inference(sat_conversion,[],[f28758]) ).
cnf(s2472,plain,
( ~ spl0_126
| ~ spl0_132
| ~ spl0_141 ),
inference(sat_conversion,[],[f28819]) ).
cnf(s2487,plain,
( ~ spl0_151
| ~ spl0_157
| ~ spl0_317
| ~ spl0_413 ),
inference(sat_conversion,[],[f28918]) ).
cnf(s2494,plain,
( ~ spl0_27
| spl0_221
| ~ spl0_260
| ~ spl0_325 ),
inference(sat_conversion,[],[f29102]) ).
cnf(s2495,plain,
( ~ spl0_221
| ~ spl0_283
| ~ spl0_397 ),
inference(sat_conversion,[],[f29108]) ).
cnf(s2496,plain,
( ~ spl0_4
| ~ spl0_213
| ~ spl0_219 ),
inference(sat_conversion,[],[f29109]) ).
cnf(s2497,plain,
( ~ spl0_12
| spl0_126
| ~ spl0_129
| ~ spl0_274 ),
inference(sat_conversion,[],[f29111]) ).
cnf(s2506,plain,
( ~ spl0_209
| ~ spl0_254
| ~ spl0_287
| spl0_401 ),
inference(sat_conversion,[],[f29193]) ).
cnf(s2513,plain,
( ~ spl0_125
| ~ spl0_153
| ~ spl0_211
| ~ spl0_268 ),
inference(sat_conversion,[],[f29265]) ).
cnf(s2518,plain,
( ~ spl0_27
| ~ spl0_28
| ~ spl0_286
| spl0_298 ),
inference(sat_conversion,[],[f29363]) ).
cnf(s2519,plain,
( ~ spl0_28
| ~ spl0_178
| ~ spl0_284
| spl0_299 ),
inference(sat_conversion,[],[f29411]) ).
cnf(s2525,plain,
( ~ spl0_114
| spl0_140
| spl0_299 ),
inference(sat_conversion,[],[f29498]) ).
cnf(s2530,plain,
( spl0_141
| spl0_363
| ~ spl0_387 ),
inference(sat_conversion,[],[f29548]) ).
cnf(s2531,plain,
( spl0_171
| spl0_175
| ~ spl0_387 ),
inference(sat_conversion,[],[f29549]) ).
cnf(s2534,plain,
( spl0_181
| spl0_298
| ~ spl0_338 ),
inference(sat_conversion,[],[f29597]) ).
cnf(s2535,plain,
( ~ spl0_28
| spl0_189
| spl0_331
| ~ spl0_442 ),
inference(sat_conversion,[],[f29614]) ).
cnf(s2536,plain,
( spl0_298
| ~ spl0_412
| spl0_445 ),
inference(sat_conversion,[],[f29678]) ).
cnf(s2540,plain,
( ~ spl0_125
| spl0_259
| ~ spl0_292
| ~ spl0_411 ),
inference(sat_conversion,[],[f29754]) ).
cnf(s2545,plain,
( ~ spl0_125
| ~ spl0_292
| ~ spl0_435
| spl0_451 ),
inference(sat_conversion,[],[f29839]) ).
cnf(s2546,plain,
( ~ spl0_28
| ~ spl0_424
| spl0_434
| spl0_447 ),
inference(sat_conversion,[],[f29869]) ).
cnf(s2547,plain,
( ~ spl0_27
| spl0_171
| ~ spl0_447 ),
inference(sat_conversion,[],[f29885]) ).
cnf(s2548,plain,
( ~ spl0_27
| spl0_184
| ~ spl0_295
| spl0_298 ),
inference(sat_conversion,[],[f29903]) ).
cnf(s2549,plain,
( ~ spl0_184
| ~ spl0_287
| ~ spl0_324
| ~ spl0_340 ),
inference(sat_conversion,[],[f29920]) ).
cnf(s2551,plain,
( ~ spl0_35
| ~ spl0_153
| spl0_283
| ~ spl0_294 ),
inference(sat_conversion,[],[f29922]) ).
cnf(s2552,plain,
( ~ spl0_28
| ~ spl0_35
| spl0_145
| ~ spl0_258 ),
inference(sat_conversion,[],[f29923]) ).
cnf(s2553,plain,
( ~ spl0_135
| ~ spl0_213
| ~ spl0_318 ),
inference(sat_conversion,[],[f29925]) ).
cnf(s2554,plain,
( ~ spl0_142
| ~ spl0_213
| ~ spl0_313 ),
inference(sat_conversion,[],[f29926]) ).
cnf(s2555,plain,
( ~ spl0_153
| spl0_213
| ~ spl0_329
| spl0_452 ),
inference(sat_conversion,[],[f29931]) ).
cnf(s2565,plain,
( ~ spl0_141
| ~ spl0_313
| ~ spl0_331 ),
inference(sat_conversion,[],[f29994]) ).
cnf(s2567,plain,
( ~ spl0_131
| spl0_147
| spl0_148
| spl0_149 ),
inference(sat_conversion,[],[f30026]) ).
cnf(s2582,plain,
( spl0_222
| spl0_283
| spl0_334
| ~ spl0_385 ),
inference(sat_conversion,[],[f30126]) ).
cnf(s2586,plain,
( ~ spl0_151
| spl0_213
| spl0_257
| ~ spl0_317 ),
inference(sat_conversion,[],[f30163]) ).
cnf(s2588,plain,
( ~ spl0_1
| ~ spl0_152
| ~ spl0_300
| ~ spl0_317
| ~ spl0_339
| ~ spl0_397 ),
inference(sat_conversion,[],[f30165]) ).
cnf(s2589,plain,
( ~ spl0_152
| ~ spl0_219
| ~ spl0_318 ),
inference(sat_conversion,[],[f30187]) ).
cnf(s2598,plain,
( spl0_223
| ~ spl0_256
| ~ spl0_400 ),
inference(sat_conversion,[],[f30452]) ).
cnf(s2600,plain,
( ~ spl0_223
| ~ spl0_313 ),
inference(sat_conversion,[],[f30572]) ).
cnf(s2610,plain,
( spl0_168
| ~ spl0_208
| ~ spl0_238
| spl0_239 ),
inference(sat_conversion,[],[f30639]) ).
cnf(s2621,plain,
( ~ spl0_129
| ~ spl0_131
| ~ spl0_177
| spl0_454 ),
inference(sat_conversion,[],[f30875]) ).
cnf(s2622,plain,
( ~ spl0_27
| spl0_149
| ~ spl0_169
| ~ spl0_454 ),
inference(sat_conversion,[],[f30893]) ).
cnf(s2623,plain,
( ~ spl0_28
| ~ spl0_35
| spl0_171
| ~ spl0_448 ),
inference(sat_conversion,[],[f30894]) ).
cnf(s2624,plain,
( ~ spl0_127
| ~ spl0_129
| spl0_225
| ~ spl0_280 ),
inference(sat_conversion,[],[f30895]) ).
cnf(s2625,plain,
( ~ spl0_27
| spl0_171
| ~ spl0_177
| spl0_455 ),
inference(sat_conversion,[],[f30899]) ).
cnf(s2628,plain,
( ~ spl0_132
| ~ spl0_313
| ~ spl0_332 ),
inference(sat_conversion,[],[f30904]) ).
cnf(s2646,plain,
( spl0_213
| ~ spl0_292
| spl0_411 ),
inference(sat_conversion,[],[f31041]) ).
cnf(s2647,plain,
( ~ spl0_129
| spl0_189
| ~ spl0_292
| ~ spl0_295 ),
inference(sat_conversion,[],[f31042]) ).
cnf(s2649,plain,
( spl0_149
| ~ spl0_292
| spl0_294
| spl0_341 ),
inference(sat_conversion,[],[f31044]) ).
cnf(s2650,plain,
( spl0_126
| spl0_284
| ~ spl0_292
| spl0_345 ),
inference(sat_conversion,[],[f31045]) ).
cnf(s2651,plain,
( spl0_213
| ~ spl0_317
| spl0_410 ),
inference(sat_conversion,[],[f31073]) ).
cnf(s2654,plain,
( ~ spl0_158
| ~ spl0_292
| ~ spl0_317
| ~ spl0_339 ),
inference(sat_conversion,[],[f31078]) ).
cnf(s2656,plain,
( ~ spl0_27
| ~ spl0_28
| ~ spl0_237
| spl0_247 ),
inference(sat_conversion,[],[f31153]) ).
cnf(s2659,plain,
( ~ spl0_129
| ~ spl0_292
| ~ spl0_407
| spl0_454 ),
inference(sat_conversion,[],[f31294]) ).
cnf(s2663,plain,
( ~ spl0_12
| spl0_331
| ~ spl0_410
| spl0_448 ),
inference(sat_conversion,[],[f31298]) ).
cnf(s2667,plain,
( ~ spl0_37
| spl0_145
| ~ spl0_158
| ~ spl0_178 ),
inference(sat_conversion,[],[f31302]) ).
cnf(s2669,plain,
( ~ spl0_125
| ~ spl0_153
| spl0_230
| ~ spl0_280 ),
inference(sat_conversion,[],[f31304]) ).
cnf(s2671,plain,
( ~ spl0_47
| ~ spl0_169
| ~ spl0_178
| ~ spl0_208
| spl0_226 ),
inference(sat_conversion,[],[f31306]) ).
cnf(s2672,plain,
( ~ spl0_1
| ~ spl0_125
| ~ spl0_153
| ~ spl0_208
| spl0_230 ),
inference(sat_conversion,[],[f31307]) ).
cnf(s2673,plain,
( ~ spl0_7
| ~ spl0_127
| ~ spl0_129
| ~ spl0_208
| spl0_225 ),
inference(sat_conversion,[],[f31308]) ).
cnf(s2674,plain,
( ~ spl0_169
| ~ spl0_178
| spl0_226
| ~ spl0_280 ),
inference(sat_conversion,[],[f31309]) ).
cnf(s2675,plain,
( ~ spl0_27
| ~ spl0_127
| spl0_221
| ~ spl0_294 ),
inference(sat_conversion,[],[f31310]) ).
cnf(s2677,plain,
( ~ spl0_126
| ~ spl0_210
| ~ spl0_242 ),
inference(sat_conversion,[],[f31312]) ).
cnf(s2685,plain,
( ~ spl0_125
| ~ spl0_131
| ~ spl0_153
| ~ spl0_257 ),
inference(sat_conversion,[],[f31435]) ).
cnf(s2688,plain,
( ~ spl0_134
| ~ spl0_155
| ~ spl0_184
| ~ spl0_191 ),
inference(sat_conversion,[],[f31475]) ).
cnf(s2689,plain,
( ~ spl0_134
| ~ spl0_155
| ~ spl0_173
| ~ spl0_455 ),
inference(sat_conversion,[],[f31477]) ).
cnf(s2693,plain,
( ~ spl0_125
| ~ spl0_131
| ~ spl0_452 ),
inference(sat_conversion,[],[f31511]) ).
cnf(s2698,plain,
( ~ spl0_126
| ~ spl0_219
| ~ spl0_332 ),
inference(sat_conversion,[],[f31531]) ).
cnf(s2722,plain,
( spl0_222
| spl0_283
| ~ spl0_386
| ~ spl0_400 ),
inference(sat_conversion,[],[f31953]) ).
cnf(s2724,plain,
( spl0_138
| spl0_457
| spl0_458 ),
inference(sat_conversion,[],[f31969]) ).
cnf(s2725,plain,
( spl0_138
| spl0_459
| spl0_460 ),
inference(sat_conversion,[],[f31976]) ).
cnf(s2727,plain,
( ~ spl0_20
| ~ spl0_142
| ~ spl0_171 ),
inference(sat_conversion,[],[f31995]) ).
cnf(s2733,plain,
( ~ spl0_132
| spl0_456 ),
inference(sat_conversion,[],[f32014]) ).
cnf(s2734,plain,
( ~ spl0_133
| spl0_456 ),
inference(sat_conversion,[],[f32017]) ).
cnf(s2741,plain,
( spl0_141
| ~ spl0_314
| spl0_326 ),
inference(sat_conversion,[],[f32088]) ).
cnf(s2743,plain,
( spl0_145
| ~ spl0_317
| spl0_325
| spl0_341 ),
inference(sat_conversion,[],[f32119]) ).
cnf(s2744,plain,
( ~ spl0_1
| spl0_135
| ~ spl0_300
| ~ spl0_317
| ~ spl0_339 ),
inference(sat_conversion,[],[f32121]) ).
cnf(s2745,plain,
( spl0_135
| ~ spl0_317
| spl0_403
| spl0_409 ),
inference(sat_conversion,[],[f32122]) ).
cnf(s2755,plain,
( ~ spl0_47
| spl0_145
| ~ spl0_228
| ~ spl0_238
| ~ spl0_457 ),
inference(sat_conversion,[],[f32205]) ).
cnf(s2759,plain,
( ~ spl0_133
| ~ spl0_210
| ~ spl0_458 ),
inference(sat_conversion,[],[f32222]) ).
cnf(s2760,plain,
( ~ spl0_135
| ~ spl0_230
| ~ spl0_458 ),
inference(sat_conversion,[],[f32224]) ).
cnf(s2764,plain,
( ~ spl0_14
| ~ spl0_230
| ~ spl0_242 ),
inference(sat_conversion,[],[f32240]) ).
cnf(s2765,plain,
( spl0_238
| spl0_247
| spl0_248 ),
inference(sat_conversion,[],[f32259]) ).
cnf(s2766,plain,
( spl0_222
| spl0_238
| spl0_247 ),
inference(sat_conversion,[],[f32261]) ).
cnf(s2769,plain,
( ~ spl0_155
| spl0_242
| spl0_267
| ~ spl0_457 ),
inference(sat_conversion,[],[f32292]) ).
cnf(s2777,plain,
( ~ spl0_47
| ~ spl0_173
| ~ spl0_191
| spl0_226
| ~ spl0_460 ),
inference(sat_conversion,[],[f32332]) ).
cnf(s2781,plain,
( ~ spl0_209
| ~ spl0_456
| ~ spl0_459 ),
inference(sat_conversion,[],[f32356]) ).
cnf(s2782,plain,
( spl0_141
| ~ spl0_227
| spl0_237
| ~ spl0_460 ),
inference(sat_conversion,[],[f32389]) ).
cnf(s2787,plain,
( ~ spl0_27
| ~ spl0_28
| spl0_171
| ~ spl0_267 ),
inference(sat_conversion,[],[f32475]) ).
cnf(s2789,plain,
( spl0_143
| ~ spl0_221
| ~ spl0_365
| ~ spl0_397 ),
inference(sat_conversion,[],[f32575]) ).
cnf(s2793,plain,
( ~ spl0_150
| ~ spl0_300
| ~ spl0_314
| spl0_471 ),
inference(sat_conversion,[],[f32803]) ).
cnf(s2794,plain,
( ~ spl0_155
| ~ spl0_317
| ~ spl0_326
| spl0_472 ),
inference(sat_conversion,[],[f32890]) ).
cnf(s2801,plain,
( ~ spl0_1
| spl0_135
| ~ spl0_231
| ~ spl0_236
| ~ spl0_457 ),
inference(sat_conversion,[],[f32916]) ).
cnf(s2802,plain,
( ~ spl0_27
| spl0_298
| ~ spl0_326
| spl0_473 ),
inference(sat_conversion,[],[f32920]) ).
cnf(s2809,plain,
( ~ spl0_27
| spl0_171
| ~ spl0_191
| ~ spl0_472 ),
inference(sat_conversion,[],[f32933]) ).
cnf(s2813,plain,
( ~ spl0_35
| ~ spl0_169
| spl0_298
| ~ spl0_471 ),
inference(sat_conversion,[],[f32937]) ).
cnf(s2821,plain,
( spl0_126
| spl0_127
| spl0_138 ),
inference(sat_conversion,[],[f32958]) ).
cnf(s2822,plain,
( ~ spl0_34
| ~ spl0_142
| ~ spl0_171 ),
inference(sat_conversion,[],[f32992]) ).
cnf(s2824,plain,
( spl0_142
| spl0_156
| ~ spl0_372 ),
inference(sat_conversion,[],[f32995]) ).
cnf(s2828,plain,
( ~ spl0_136
| ~ spl0_213
| ~ spl0_332 ),
inference(sat_conversion,[],[f33024]) ).
cnf(s2855,plain,
( ~ spl0_259
| ~ spl0_287
| ~ spl0_300 ),
inference(sat_conversion,[],[f33306]) ).
cnf(s2859,plain,
( spl0_175
| ~ spl0_287
| spl0_294
| spl0_299 ),
inference(sat_conversion,[],[f33310]) ).
cnf(s2864,plain,
( spl0_136
| ~ spl0_208
| spl0_269 ),
inference(sat_conversion,[],[f33381]) ).
cnf(s2865,plain,
( spl0_175
| ~ spl0_208
| spl0_226
| spl0_235 ),
inference(sat_conversion,[],[f33382]) ).
cnf(s2870,plain,
( ~ spl0_132
| ~ spl0_149
| ~ spl0_171 ),
inference(sat_conversion,[],[f33428]) ).
cnf(s2875,plain,
( ~ spl0_131
| ~ spl0_156
| ~ spl0_157 ),
inference(sat_conversion,[],[f33507]) ).
cnf(s2876,plain,
( ~ spl0_1
| ~ spl0_131
| spl0_137
| ~ spl0_151
| ~ spl0_157 ),
inference(sat_conversion,[],[f33508]) ).
cnf(s2878,plain,
( spl0_126
| ~ spl0_131
| spl0_176
| spl0_192 ),
inference(sat_conversion,[],[f33509]) ).
cnf(s2880,plain,
( ~ spl0_1
| spl0_14
| spl0_38 ),
inference(sat_conversion,[],[f33511]) ).
cnf(s2883,plain,
( spl0_222
| spl0_324
| spl0_331 ),
inference(sat_conversion,[],[f33540]) ).
cnf(s2902,plain,
( ~ spl0_18
| spl0_97
| spl0_136 ),
inference(sat_conversion,[],[f33628]) ).
cnf(s2905,plain,
( ~ spl0_1
| ~ spl0_12
| ~ spl0_16
| spl0_53 ),
inference(sat_conversion,[],[f33633]) ).
cnf(s2906,plain,
( ~ spl0_18
| spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f33635]) ).
cnf(s2915,plain,
( ~ spl0_134
| spl0_136
| spl0_174 ),
inference(sat_conversion,[],[f33744]) ).
cnf(s2916,plain,
( ~ spl0_134
| spl0_145
| spl0_148
| spl0_175 ),
inference(sat_conversion,[],[f33745]) ).
cnf(s2935,plain,
( spl0_136
| ~ spl0_287
| spl0_401 ),
inference(sat_conversion,[],[f33984]) ).
cnf(s2937,plain,
( spl0_123
| spl0_221
| spl0_284
| ~ spl0_287 ),
inference(sat_conversion,[],[f33986]) ).
cnf(s2940,plain,
( ~ spl0_34
| ~ spl0_213
| ~ spl0_298 ),
inference(sat_conversion,[],[f33996]) ).
cnf(s2941,plain,
( spl0_143
| spl0_287
| spl0_400 ),
inference(sat_conversion,[],[f34006]) ).
cnf(s2945,plain,
( spl0_192
| spl0_221
| ~ spl0_314
| spl0_328 ),
inference(sat_conversion,[],[f34031]) ).
cnf(s2946,plain,
( spl0_159
| spl0_283
| ~ spl0_314
| spl0_409 ),
inference(sat_conversion,[],[f34034]) ).
cnf(s2948,plain,
( ~ spl0_317
| spl0_331
| spl0_344 ),
inference(sat_conversion,[],[f34058]) ).
cnf(s2949,plain,
( ~ spl0_173
| spl0_298
| ~ spl0_317
| spl0_412 ),
inference(sat_conversion,[],[f34060]) ).
cnf(s2950,plain,
( spl0_152
| ~ spl0_317
| spl0_328
| spl0_345 ),
inference(sat_conversion,[],[f34061]) ).
cnf(s2971,plain,
( ~ spl0_296
| ~ spl0_314
| ~ spl0_324
| ~ spl0_473 ),
inference(sat_conversion,[],[f34368]) ).
cnf(s2977,plain,
( spl0_477
| spl0_478 ),
inference(sat_conversion,[],[f34421]) ).
cnf(s2979,plain,
( ~ spl0_296
| ~ spl0_314
| ~ spl0_340
| ~ spl0_445 ),
inference(sat_conversion,[],[f34476]) ).
cnf(s2981,plain,
( ~ spl0_127
| ~ spl0_129
| spl0_152
| ~ spl0_277 ),
inference(sat_conversion,[],[f34627]) ).
cnf(s2982,plain,
( ~ spl0_2
| spl0_137
| ~ spl0_213
| ~ spl0_332 ),
inference(sat_conversion,[],[f34674]) ).
cnf(s2983,plain,
( ~ spl0_2
| spl0_142
| ~ spl0_145
| ~ spl0_399 ),
inference(sat_conversion,[],[f34677]) ).
cnf(s2985,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_226
| ~ spl0_242
| ~ spl0_399 ),
inference(sat_conversion,[],[f34681]) ).
cnf(s2988,plain,
( spl0_147
| spl0_299
| ~ spl0_314
| spl0_325 ),
inference(sat_conversion,[],[f34685]) ).
cnf(s2990,plain,
( ~ spl0_28
| ~ spl0_191
| spl0_299
| ~ spl0_328 ),
inference(sat_conversion,[],[f34687]) ).
cnf(s3010,plain,
( ~ spl0_7
| ~ spl0_27
| ~ spl0_28
| spl0_29 ),
inference(sat_conversion,[],[f34867]) ).
cnf(s3012,plain,
( ~ spl0_35
| spl0_183
| spl0_298
| ~ spl0_401 ),
inference(sat_conversion,[],[f35006]) ).
cnf(s3020,plain,
( ~ spl0_27
| spl0_298
| ~ spl0_344
| spl0_483 ),
inference(sat_conversion,[],[f35165]) ).
cnf(s3022,plain,
( ~ spl0_314
| ~ spl0_324
| ~ spl0_340
| ~ spl0_483 ),
inference(sat_conversion,[],[f35187]) ).
cnf(s3024,plain,
( ~ spl0_155
| spl0_267
| ~ spl0_319
| spl0_434 ),
inference(sat_conversion,[],[f35189]) ).
cnf(s3026,plain,
( ~ spl0_35
| spl0_171
| ~ spl0_178
| ~ spl0_451 ),
inference(sat_conversion,[],[f35191]) ).
cnf(s3029,plain,
( ~ spl0_35
| spl0_171
| ~ spl0_174
| spl0_183 ),
inference(sat_conversion,[],[f35195]) ).
cnf(s3031,plain,
( ~ spl0_7
| ~ spl0_155
| ~ spl0_260
| ~ spl0_316
| spl0_416 ),
inference(sat_conversion,[],[f35197]) ).
cnf(s3034,plain,
( spl0_171
| ~ spl0_316
| spl0_424
| ~ spl0_425 ),
inference(sat_conversion,[],[f35200]) ).
cnf(s3042,plain,
( ~ spl0_131
| spl0_141
| spl0_154 ),
inference(sat_conversion,[],[f35310]) ).
cnf(s3043,plain,
( ~ spl0_131
| spl0_137
| spl0_158
| spl0_159 ),
inference(sat_conversion,[],[f35311]) ).
cnf(s3044,plain,
( ~ spl0_134
| ~ spl0_145
| spl0_156
| spl0_158
| ~ spl0_399 ),
inference(sat_conversion,[],[f35337]) ).
cnf(s3045,plain,
( ~ spl0_97
| ~ spl0_434
| ~ spl0_478 ),
inference(sat_conversion,[],[f35357]) ).
cnf(s3046,plain,
( ~ spl0_292
| spl0_295
| spl0_331 ),
inference(sat_conversion,[],[f35386]) ).
cnf(s3048,plain,
( spl0_137
| ~ spl0_292
| spl0_402
| spl0_403 ),
inference(sat_conversion,[],[f35388]) ).
cnf(s3049,plain,
( ~ spl0_4
| ~ spl0_142
| ~ spl0_152 ),
inference(sat_conversion,[],[f35400]) ).
cnf(s3051,plain,
( spl0_123
| ~ spl0_134
| spl0_152
| spl0_176 ),
inference(sat_conversion,[],[f35402]) ).
cnf(s3055,plain,
( ~ spl0_144
| ~ spl0_292
| ~ spl0_300
| ~ spl0_340 ),
inference(sat_conversion,[],[f35517]) ).
cnf(s3057,plain,
( ~ spl0_125
| ~ spl0_131
| ~ spl0_174
| spl0_274 ),
inference(sat_conversion,[],[f35520]) ).
cnf(s3060,plain,
( spl0_143
| spl0_292
| spl0_332 ),
inference(sat_conversion,[],[f35532]) ).
cnf(s3064,plain,
( ~ spl0_142
| ~ spl0_254
| ~ spl0_458 ),
inference(sat_conversion,[],[f35640]) ).
cnf(s3066,plain,
( ~ spl0_158
| ~ spl0_319
| ~ spl0_428
| ~ spl0_477 ),
inference(sat_conversion,[],[f35676]) ).
cnf(s3068,plain,
( ~ spl0_142
| ~ spl0_315
| ~ spl0_420 ),
inference(sat_conversion,[],[f35694]) ).
cnf(s3069,plain,
( ~ spl0_12
| spl0_141
| ~ spl0_174
| spl0_275 ),
inference(sat_conversion,[],[f35696]) ).
cnf(s3070,plain,
( ~ spl0_34
| ~ spl0_418
| ~ spl0_420 ),
inference(sat_conversion,[],[f35720]) ).
cnf(s3071,plain,
( ~ spl0_16
| spl0_221
| ~ spl0_260
| ~ spl0_409 ),
inference(sat_conversion,[],[f35721]) ).
cnf(s3073,plain,
( ~ spl0_12
| ~ spl0_28
| spl0_97
| ~ spl0_183 ),
inference(sat_conversion,[],[f35723]) ).
cnf(s3076,plain,
( ~ spl0_16
| ~ spl0_35
| spl0_136
| ~ spl0_184 ),
inference(sat_conversion,[],[f35726]) ).
cnf(s3083,plain,
( spl0_221
| spl0_222
| spl0_323 ),
inference(sat_conversion,[],[f35782]) ).
cnf(s3090,plain,
( spl0_227
| spl0_241
| spl0_242 ),
inference(sat_conversion,[],[f35817]) ).
cnf(s3092,plain,
( spl0_296
| spl0_298
| spl0_334 ),
inference(sat_conversion,[],[f35831]) ).
cnf(s3098,plain,
( ~ spl0_21
| ~ spl0_221
| ~ spl0_299 ),
inference(sat_conversion,[],[f35844]) ).
cnf(s3154,plain,
( spl0_221
| spl0_323 ),
inference(rat,[],[s1299,s1630]) ).
cnf(s3177,plain,
( spl0_226
| spl0_228 ),
inference(rat,[],[s978,s2316]) ).
cnf(s3186,plain,
( spl0_171
| spl0_173 ),
inference(rat,[],[s758,s821]) ).
cnf(s3206,plain,
( ~ spl0_4
| ~ spl0_17
| ~ spl0_136
| spl0_137 ),
inference(rat,[],[s582,s619]) ).
cnf(s3208,plain,
( ~ spl0_11
| spl0_97
| spl0_126
| spl0_136 ),
inference(rat,[],[s579,s619]) ).
cnf(s3209,plain,
( ~ spl0_17
| spl0_97
| spl0_126
| spl0_137 ),
inference(rat,[],[s578,s619]) ).
cnf(s3254,plain,
( ~ spl0_18
| spl0_30
| ~ spl0_46
| spl0_83 ),
inference(rat,[],[s187,s564]) ).
cnf(s3268,plain,
( ~ spl0_20
| spl0_30
| ~ spl0_38
| ~ spl0_46
| spl0_71 ),
inference(rat,[],[s88,s564]) ).
cnf(s3280,plain,
( spl0_21
| spl0_27 ),
inference(rat,[],[s33,s564]) ).
cnf(s3281,plain,
( spl0_28
| spl0_30 ),
inference(rat,[],[s20,s564]) ).
cnf(s3282,plain,
( ~ spl0_145
| ~ spl0_20
| ~ spl0_2 ),
inference(rat,[],[s1392,s2983,s1670]) ).
cnf(s3283,plain,
( spl0_242
| spl0_267
| ~ spl0_155
| ~ spl0_133
| spl0_128
| ~ spl0_129 ),
inference(rat,[],[s2759,s910,s2724,s1847,s2769,s844,s619]) ).
cnf(s3284,plain,
( spl0_171
| ~ spl0_155
| ~ spl0_456
| spl0_128
| ~ spl0_169
| ~ spl0_178
| ~ spl0_129
| ~ spl0_20
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2781,s909,s2725,s2671,s2777,s2985,s3283,s2787,s760,s1670,s21,s871,s572,s1735,s3282,s45,s47,s54,s3280,s89,s844,s619,s564,s821]) ).
cnf(s3285,plain,
( ~ spl0_313
| ~ spl0_171
| ~ spl0_132
| ~ spl0_169
| ~ spl0_178
| ~ spl0_47 ),
inference(rat,[],[s1873,s1718,s2209,s1880]) ).
cnf(s3286,plain,
( ~ spl0_299
| ~ spl0_314
| ~ spl0_152
| ~ spl0_151
| spl0_128
| ~ spl0_136
| ~ spl0_129
| ~ spl0_20
| ~ spl0_2 ),
inference(rat,[],[s1260,s2589,s2586,s1297,s2450,s2132,s1440,s1312,s1866,s2304,s1397,s1305,s1876,s1670,s564]) ).
cnf(s3292,plain,
( ~ spl0_133
| ~ spl0_97
| ~ spl0_13 ),
inference(rat,[],[s1206,s793,s2464]) ).
cnf(s3296,plain,
( ~ spl0_313
| spl0_146
| ~ spl0_152
| ~ spl0_132
| ~ spl0_125
| ~ spl0_27
| ~ spl0_20 ),
inference(rat,[],[s1305,s1866,s2859,s2384,s2675,s1718,s1312,s2174,s1880,s2628,s2821,s792,s1020,s619]) ).
cnf(s3298,plain,
( ~ spl0_142
| ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s1206,s2364,s3049]) ).
cnf(s3299,plain,
( spl0_141
| ~ spl0_136
| ~ spl0_129
| ~ spl0_20
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2450,s2586,s1440,s1260,s2496,s1397,s2141,s1303,s2495,s2941,s2945,s1873,s2990,s3286,s1258,s3285,s3284,s1206,s1803,s1694,s695,s3298,s871,s777,s571,s2878,s780,s2408,s874,s21,s2734,s572,s1735,s948,s2463,s45,s47,s54,s3280,s89,s3282,s747,s1856,s564,s821,s844]) ).
cnf(s3300,plain,
( ~ spl0_313
| ~ spl0_141
| ~ spl0_132
| spl0_128
| ~ spl0_129 ),
inference(rat,[],[s2132,s1312,s2565,s2628]) ).
cnf(s3301,plain,
( spl0_299
| ~ spl0_314
| ~ spl0_133
| ~ spl0_169
| ~ spl0_178
| spl0_192
| ~ spl0_191
| ~ spl0_47
| ~ spl0_28
| ~ spl0_151
| ~ spl0_4 ),
inference(rat,[],[s2450,s2586,s1440,s1260,s2496,s1397,s2141,s1303,s2495,s2941,s2945,s1873,s2990,s1694,s564,s821]) ).
cnf(s3302,plain,
( spl0_97
| ~ spl0_20
| ~ spl0_18
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2141,s1260,s2941,s2586,s2388,s2450,s2659,s1440,s1312,s1866,s2304,s1397,s1305,s1876,s3301,s1258,s3300,s3299,s571,s572,s2878,s2622,s1735,s780,s777,s747,s948,s2408,s1856,s2463,s2902,s694,s695,s3298,s1670,s45,s47,s3280,s89,s871,s874,s3282,s21,s54,s564,s821]) ).
cnf(s3303,plain,
( ~ spl0_299
| ~ spl0_314
| ~ spl0_257
| ~ spl0_20 ),
inference(rat,[],[s1440,s2450,s1866,s1397,s1305,s1876,s1670]) ).
cnf(s3304,plain,
( ~ spl0_314
| ~ spl0_257
| spl0_192
| ~ spl0_191
| ~ spl0_20
| ~ spl0_4 ),
inference(rat,[],[s1440,s2450,s2496,s1397,s1303,s2495,s2945,s2990,s3303,s1694,s21,s54]) ).
cnf(s3305,plain,
( ~ spl0_132
| ~ spl0_313
| ~ spl0_125
| ~ spl0_97
| ~ spl0_27
| ~ spl0_20
| ~ spl0_151
| ~ spl0_13
| ~ spl0_397 ),
inference(rat,[],[s791,s697,s3296,s2022,s1206,s2155,s572,s3292,s564]) ).
cnf(s3306,plain,
( ~ spl0_20
| ~ spl0_18
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s780,s948,s2878,s1785,s691,s756,s2685,s571,s3305,s1258,s3304,s1009,s572,s688,s3292,s1095,s3302,s874,s871,s3282,s21,s3280,s54,s89,s1670,s1694,s695,s3298,s564,s821]) ).
cnf(s3307,plain,
( ~ spl0_299
| ~ spl0_287
| ~ spl0_292
| ~ spl0_129
| spl0_20
| ~ spl0_18 ),
inference(rat,[],[s2153,s2132,s2883,s3083,s2234,s1307,s1305,s2906,s1630]) ).
cnf(s3308,plain,
( spl0_331
| ~ spl0_323
| ~ spl0_287
| ~ spl0_292
| ~ spl0_129 ),
inference(rat,[],[s2153,s2132,s2883,s1630]) ).
cnf(s3309,plain,
( ~ spl0_283
| ~ spl0_340
| ~ spl0_287
| ~ spl0_292
| ~ spl0_313
| ~ spl0_129
| ~ spl0_47
| spl0_145
| ~ spl0_34
| ~ spl0_13
| ~ spl0_397 ),
inference(rat,[],[s1206,s2589,s2565,s1297,s3308,s1260,s1881,s3092,s3083,s1934,s2495,s564,s1668,s1630]) ).
cnf(s3310,plain,
( ~ spl0_313
| ~ spl0_132
| spl0_126
| ~ spl0_129
| ~ spl0_28
| ~ spl0_47
| spl0_145
| ~ spl0_34
| spl0_20
| ~ spl0_18
| ~ spl0_13
| ~ spl0_397 ),
inference(rat,[],[s2551,s756,s2859,s1785,s2334,s3309,s945,s2519,s1381,s3307,s2650,s2441,s1718,s1312,s1880,s2628,s25,s1922,s2821,s619]) ).
cnf(s3311,plain,
( ~ spl0_178
| ~ spl0_314
| spl0_97
| ~ spl0_47
| spl0_145
| spl0_20
| ~ spl0_18
| ~ spl0_151
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2141,s2941,s1260,s3308,s1312,s2743,s3083,s2234,s2304,s2253,s1307,s1305,s1876,s697,s3301,s1679,s572,s1735,s2906,s25,s1922,s874,s21,s52,s694,s747,s950,s2902,s2300,s2447,s871,s821,s564,s1630]) ).
cnf(s3312,plain,
( ~ spl0_132
| spl0_97
| ~ spl0_18
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3308,s1312,s1718,s3083,s2234,s2304,s2417,s1307,s1305,s1876,s1828,s760,s2870,s945,s3311,s1258,s3310,s1694,s695,s1922,s871,s1456,s3298,s45,s191,s2906,s21,s52,s2300,s3306,s694,s2408,s2902,s1630,s564,s821]) ).
cnf(s3313,plain,
( spl0_97
| ~ spl0_18
| ~ spl0_16
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s945,s1785,s780,s756,s2878,s1516,s571,s3312,s2824,s1006,s2408,s2902,s1922,s874,s21,s52,s2300,s1456,s2906,s3306,s3298,s564]) ).
cnf(s3314,plain,
( ~ spl0_18
| ~ spl0_16
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1466,s1008,s572,s688,s948,s3292,s1095,s1749,s3313,s11,s2906,s3306,s695,s3298,s564]) ).
cnf(s3315,plain,
( ~ spl0_136
| ~ spl0_132
| ~ spl0_20
| ~ spl0_17
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s572,s1735,s2303,s747,s948,s3206,s1856,s2463,s3282,s45,s47,s54,s3280,s89,s564]) ).
cnf(s3316,plain,
( ~ spl0_313
| ~ spl0_125
| spl0_189
| ~ spl0_132
| ~ spl0_129
| ~ spl0_4 ),
inference(rat,[],[s2540,s2855,s2646,s1440,s2496,s1297,s3046,s2647,s1718,s1312,s1880,s2628]) ).
cnf(s3317,plain,
( spl0_213
| ~ spl0_133
| spl0_257
| ~ spl0_125
| ~ spl0_151 ),
inference(rat,[],[s2540,s2646,s2855,s1312,s1718,s1994,s2141,s1260,s2586,s1440,s564]) ).
cnf(s3318,plain,
( ~ spl0_132
| ~ spl0_20
| ~ spl0_129
| ~ spl0_17
| ~ spl0_16
| ~ spl0_151
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2990,s2945,s1305,s1303,s1866,s2496,s3317,s572,s1009,s3304,s1258,s3316,s688,s1935,s3315,s871,s874,s21,s54,s3282,s564,s821]) ).
cnf(s3319,plain,
( ~ spl0_136
| ~ spl0_131
| spl0_145
| ~ spl0_20
| ~ spl0_4 ),
inference(rat,[],[s780,s2878,s948,s2408,s2463,s874,s21,s54,s564]) ).
cnf(s3320,plain,
( ~ spl0_126
| ~ spl0_313
| spl0_136
| ~ spl0_131
| spl0_142
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2401,s1312,s1397,s2982,s2335,s3317,s697,s572,s2875,s1009,s2824,s2685,s1516,s691,s2181,s1694,s695,s688,s564]) ).
cnf(s3321,plain,
( spl0_126
| ~ spl0_131
| ~ spl0_28
| spl0_145
| ~ spl0_399
| spl0_97
| ~ spl0_17 ),
inference(rat,[],[s948,s780,s1785,s2878,s3209,s874,s564]) ).
cnf(s3322,plain,
( ~ spl0_20
| spl0_97
| ~ spl0_17
| ~ spl0_16
| spl0_142
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2494,s2743,s1303,s1034,s1260,s2496,s2022,s2553,s3317,s697,s572,s2875,s2447,s1009,s2824,s1258,s2685,s1516,s3320,s691,s3321,s688,s3319,s571,s3318,s871,s21,s3280,s3282,s54,s89,s1670,s1694,s695,s694,s564,s821]) ).
cnf(s3323,plain,
( ~ spl0_136
| ~ spl0_132
| spl0_145
| ~ spl0_34
| ~ spl0_17
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1735,s572,s948,s45,s2303,s1785,s747,s591,s3206,s950,s1922,s564]) ).
cnf(s3324,plain,
( ~ spl0_137
| spl0_149
| ~ spl0_133
| ~ spl0_178
| ~ spl0_314
| spl0_189
| ~ spl0_132
| ~ spl0_35
| ~ spl0_34
| ~ spl0_129
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3046,s2647,s1297,s1312,s2589,s1994,s1260,s2743,s2253,s1876,s3301,s747,s45,s1206,s697,s1004,s714,s2306,s1061,s695,s874,s21,s52,s2447,s871,s2983,s1922,s3298,s564,s821]) ).
cnf(s3325,plain,
( ~ spl0_126
| ~ spl0_132
| ~ spl0_13 ),
inference(rat,[],[s1206,s2472,s1020]) ).
cnf(s3326,plain,
( ~ spl0_178
| ~ spl0_137
| ~ spl0_314
| spl0_189
| ~ spl0_132
| ~ spl0_35
| ~ spl0_34
| ~ spl0_129
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1735,s572,s3324,s2983,s3298,s45,s714,s1785,s1922,s747,s1004,s564]) ).
cnf(s3327,plain,
( ~ spl0_132
| spl0_97
| ~ spl0_16
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s948,s3326,s1785,s3209,s3325,s1258,s3316,s688,s1935,s3323,s694,s25,s2983,s1922,s2300,s3322,s10,s3314,s3298,s564]) ).
cnf(s3328,plain,
( spl0_97
| ~ spl0_16
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s688,s2408,s1692,s3321,s2318,s571,s3327,s871,s21,s2983,s52,s1922,s11,s2300,s3322,s695,s3298,s10,s3314,s564,s821]) ).
cnf(s3329,plain,
( ~ spl0_20
| spl0_146
| spl0_192
| ~ spl0_152
| ~ spl0_132
| ~ spl0_257
| ~ spl0_125
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1258,s3304,s3296,s871,s3280,s3282,s89,s564,s821]) ).
cnf(s3331,plain,
( spl0_137
| spl0_145
| ~ spl0_35
| spl0_135
| ~ spl0_134 ),
inference(rat,[],[s2916,s782,s771,s756]) ).
cnf(s3332,plain,
( ~ spl0_132
| ~ spl0_97
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1735,s747,s948,s1004,s1785,s3331,s45,s634,s2983,s52,s1922,s25,s2300,s3329,s791,s697,s1822,s2022,s2821,s1206,s3325,s2155,s1694,s688,s1009,s572,s3292,s1095,s695,s3298,s564,s619]) ).
cnf(s3333,plain,
( ~ spl0_20
| ~ spl0_176
| ~ spl0_137
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s948,s780,s21,s1785,s3282,s54,s1670,s564]) ).
cnf(s3334,plain,
( ~ spl0_97
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2270,s1004,s25,s2300,s3333,s2878,s1822,s2821,s691,s756,s1155,s2685,s2338,s571,s3332,s1009,s572,s688,s3292,s1095,s695,s3298,s619,s564]) ).
cnf(s3335,plain,
( ~ spl0_136
| ~ spl0_20
| ~ spl0_132
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2941,s2141,s2388,s1260,s2659,s2586,s1312,s1866,s2304,s1305,s1876,s3304,s3301,s1258,s572,s3300,s2622,s1010,s777,s747,s948,s3299,s1856,s2463,s695,s3298,s694,s1670,s871,s874,s21,s3282,s45,s47,s54,s3280,s19,s29,s3328,s3334,s821,s564]) ).
cnf(s3337,plain,
( ~ spl0_314
| ~ spl0_133
| ~ spl0_125
| spl0_192
| ~ spl0_191
| ~ spl0_20
| ~ spl0_151
| ~ spl0_4 ),
inference(rat,[],[s2990,s2945,s1305,s1303,s1866,s2496,s3317,s3304,s21,s54]) ).
cnf(s3338,plain,
( ~ spl0_221
| ~ spl0_313
| ~ spl0_13 ),
inference(rat,[],[s1206,s1859,s2174]) ).
cnf(s3339,plain,
( ~ spl0_313
| ~ spl0_125
| ~ spl0_132
| ~ spl0_14
| ~ spl0_129
| ~ spl0_13 ),
inference(rat,[],[s2540,s2855,s2646,s1440,s2169,s3308,s3083,s3338,s1718,s1312,s1880,s2628,s1630]) ).
cnf(s3340,plain,
( ~ spl0_20
| ~ spl0_132
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s572,s1009,s3337,s3304,s1258,s3339,s688,s3335,s874,s871,s21,s3282,s54,s695,s3298,s694,s29,s3328,s3334,s564,s821]) ).
cnf(s3341,plain,
( ~ spl0_313
| spl0_128
| spl0_145
| ~ spl0_35
| ~ spl0_132
| ~ spl0_27
| ~ spl0_14
| ~ spl0_129
| ~ spl0_13
| ~ spl0_397 ),
inference(rat,[],[s2743,s1260,s2253,s2589,s697,s2387,s1297,s2022,s2132,s1206,s2448,s1312,s3300,s3338,s2628,s564]) ).
cnf(s3342,plain,
( spl0_226
| ~ spl0_173
| ~ spl0_178
| ~ spl0_169
| ~ spl0_47
| ~ spl0_191
| ~ spl0_456 ),
inference(rat,[],[s2781,s909,s2725,s2671,s2777,s844,s619]) ).
cnf(s3343,plain,
( ~ spl0_178
| ~ spl0_133
| ~ spl0_136
| ~ spl0_132
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1847,s910,s2985,s2454,s3342,s760,s2870,s2649,s1312,s2551,s2304,s1876,s3301,s695,s2733,s874,s45,s47,s747,s2447,s1258,s3341,s777,s950,s21,s52,s25,s3280,s19,s29,s3328,s694,s3334,s1694,s871,s2983,s1922,s2300,s3340,s3298,s756,s2303,s844,s821,s564]) ).
cnf(s3344,plain,
( ~ spl0_226
| ~ spl0_149
| spl0_128
| ~ spl0_399
| ~ spl0_129
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1847,s910,s2985,s2454,s844]) ).
cnf(s3345,plain,
( ~ spl0_133
| ~ spl0_136
| ~ spl0_132
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2467,s1688,s2624,s2865,s1177,s909,s2781,s2725,s2777,s3344,s760,s2870,s945,s3343,s756,s2303,s1694,s2733,s2821,s877,s694,s792,s3325,s25,s871,s2983,s1922,s3298,s45,s47,s777,s950,s3280,s19,s29,s3328,s3334,s21,s52,s2300,s3340,s844,s619,s821]) ).
cnf(s3346,plain,
( ~ spl0_136
| ~ spl0_132
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3331,s1785,s2022,s945,s1174,s1735,s572,s3345,s1676,s873,s747,s950,s1694,s25,s2983,s1922,s3298,s45,s47,s52,s2300,s3340,s3280,s19,s29,s3328,s3334,s564]) ).
cnf(s3347,plain,
( spl0_283
| spl0_137
| spl0_149
| ~ spl0_133
| spl0_341
| ~ spl0_314
| ~ spl0_125
| ~ spl0_35
| ~ spl0_151
| ~ spl0_2 ),
inference(rat,[],[s2450,s3317,s1440,s2982,s3060,s2649,s2551,s1397,s756,s821]) ).
cnf(s3348,plain,
( ~ spl0_283
| ~ spl0_314
| spl0_192
| ~ spl0_191
| ~ spl0_28
| ~ spl0_399
| ~ spl0_397 ),
inference(rat,[],[s2990,s2945,s1876,s2495]) ).
cnf(s3349,plain,
( ~ spl0_137
| ~ spl0_178
| ~ spl0_132
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s873,s1004,s3326,s3280,s19,s2300,s25,s3340,s1258,s3339,s688,s3346,s29,s3328,s694,s3334,s564]) ).
cnf(s3350,plain,
( ~ spl0_178
| ~ spl0_133
| ~ spl0_132
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2365,s3060,s1305,s2545,s1828,s3026,s760,s2870,s3347,s3349,s695,s25,s45,s47,s3280,s19,s2447,s2423,s3348,s1258,s3339,s688,s3346,s29,s3328,s694,s3334,s874,s871,s2983,s3298,s21,s52,s1922,s2300,s3340,s1694,s821,s564]) ).
cnf(s3351,plain,
( spl0_168
| ~ spl0_292
| ~ spl0_125
| ~ spl0_28
| ~ spl0_35
| ~ spl0_27
| ~ spl0_14
| ~ spl0_129 ),
inference(rat,[],[s2646,s2169,s2540,s2132,s2270,s777]) ).
cnf(s3352,plain,
( spl0_213
| ~ spl0_133
| ~ spl0_339
| ~ spl0_314
| ~ spl0_125
| ~ spl0_151 ),
inference(rat,[],[s2450,s3317,s1440]) ).
cnf(s3353,plain,
( ~ spl0_133
| ~ spl0_132
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3083,s3308,s1303,s2169,s2496,s3352,s1312,s1718,s2365,s2417,s1305,s1828,s760,s2870,s945,s3350,s695,s45,s47,s3280,s19,s1397,s3348,s1258,s3339,s688,s3346,s29,s3328,s694,s3334,s874,s871,s2983,s3298,s21,s52,s1922,s2300,s3340,s1694,s1630,s821,s564]) ).
cnf(s3354,plain,
( ~ spl0_132
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s948,s3349,s1785,s3331,s2022,s2981,s1173,s572,s3353,s2983,s1922,s25,s2300,s3340,s877,s2821,s3325,s1694,s3298,s694,s3334,s564,s619]) ).
cnf(s3356,plain,
( ~ spl0_141
| ~ spl0_133
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2824,s1516,s2875,s756,s697,s2306,s1072,s3298,s29,s3328,s3334,s571,s3354,s564]) ).
cnf(s3357,plain,
( ~ spl0_133
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1073,s863,s871,s2102,s873,s865,s3042,s1803,s3356,s694,s3280,s17,s19,s29,s3328,s3334,s571,s3354,s821,s844,s564]) ).
cnf(s3358,plain,
( ~ spl0_136
| ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2622,s747,s783,s950,s2300,s3333,s756,s1516,s2824,s2875,s697,s2022,s2878,s2981,s1822,s2821,s2408,s1694,s3298,s3280,s19,s29,s3328,s2621,s1732,s694,s3334,s1173,s1842,s571,s3354,s572,s3357,s564,s619]) ).
cnf(s3359,plain,
( ~ spl0_13
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2981,s2022,s2821,s697,s691,s791,s2685,s2337,s1009,s688,s3358,s1173,s1842,s572,s3357,s571,s3354,s694,s3334,s695,s3298,s1694,s619,s564]) ).
cnf(s3360,plain,
( ~ spl0_313
| spl0_128
| ~ spl0_47
| ~ spl0_169
| ~ spl0_178
| ~ spl0_20
| ~ spl0_129
| ~ spl0_132
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3284,s1803,s3285,s3300,s2733,s844]) ).
cnf(s3361,plain,
( ~ spl0_20
| ~ spl0_136
| ~ spl0_133
| ~ spl0_132
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2141,s2941,s1260,s2388,s2586,s2659,s1866,s1312,s1305,s2304,s3301,s3348,s3304,s1258,s3360,s2622,s777,s874,s45,s747,s948,s871,s21,s3280,s90,s1856,s2463,s3282,s54,s89,s1670,s1694,s694,s1095,s2117,s2303,s695,s2006,s821,s564]) ).
cnf(s3362,plain,
( ~ spl0_313
| spl0_149
| ~ spl0_47
| ~ spl0_169
| ~ spl0_399
| ~ spl0_35
| ~ spl0_153
| ~ spl0_132 ),
inference(rat,[],[s2649,s2551,s2449,s1876,s1873,s1718,s1312,s1880,s2628,s948,s564]) ).
cnf(s3363,plain,
( spl0_149
| spl0_192
| ~ spl0_191
| ~ spl0_47
| ~ spl0_169
| ~ spl0_28
| ~ spl0_399
| ~ spl0_35
| ~ spl0_153
| ~ spl0_136
| ~ spl0_132
| ~ spl0_397
| ~ spl0_2 ),
inference(rat,[],[s2649,s1312,s2551,s2304,s3348,s2447,s1258,s3362,s564]) ).
cnf(s3365,plain,
( spl0_226
| ~ spl0_173
| ~ spl0_191
| ~ spl0_47
| spl0_175
| ~ spl0_35
| ~ spl0_153
| ~ spl0_129
| ~ spl0_127
| ~ spl0_456
| ~ spl0_7
| ~ spl0_397 ),
inference(rat,[],[s1688,s2467,s2865,s2673,s909,s2781,s2725,s2777,s844,s619]) ).
cnf(s3366,plain,
( ~ spl0_313
| ~ spl0_209
| ~ spl0_254
| ~ spl0_18
| spl0_175
| ~ spl0_34
| spl0_20
| ~ spl0_153
| ~ spl0_129
| ~ spl0_132
| ~ spl0_4 ),
inference(rat,[],[s1440,s2496,s2160,s1297,s3012,s3308,s2506,s3092,s3083,s1934,s2495,s2551,s2859,s3307,s1718,s1312,s1880,s2628,s1694,s25,s1668,s1630]) ).
cnf(s3367,plain,
( ~ spl0_136
| ~ spl0_133
| ~ spl0_132
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3307,s1718,s1312,s2417,s2304,s1828,s3348,s1258,s3366,s909,s2610,s2765,s2444,s1448,s10,s29,s2177,s3280,s1167,s777,s910,s3344,s2454,s3365,s760,s2870,s3363,s874,s871,s45,s747,s21,s2983,s771,s591,s950,s52,s1922,s25,s2300,s3361,s877,s3206,s756,s694,s2821,s2006,s2303,s1095,s2408,s1694,s4,s434,s3359,s2733,s564,s844,s2316,s821,s619]) ).
cnf(s3368,plain,
( ~ spl0_142
| ~ spl0_132
| ~ spl0_2 ),
inference(rat,[],[s789,s1918]) ).
cnf(s3369,plain,
( spl0_213
| ~ spl0_287
| ~ spl0_292
| ~ spl0_125 ),
inference(rat,[],[s2540,s2855,s2646,s1440]) ).
cnf(s3370,plain,
( ~ spl0_313
| ~ spl0_129
| spl0_136
| ~ spl0_132
| ~ spl0_4 ),
inference(rat,[],[s3083,s3308,s1303,s2169,s2496,s3369,s29,s1935,s1718,s1312,s3316,s1880,s2628,s688,s1630]) ).
cnf(s3371,plain,
( ~ spl0_20
| ~ spl0_314
| ~ spl0_125
| ~ spl0_133
| ~ spl0_151
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3337,s874,s871,s21,s3282,s54,s821]) ).
cnf(s3372,plain,
( ~ spl0_137
| spl0_267
| ~ spl0_213
| ~ spl0_129
| ~ spl0_133
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2141,s2941,s1260,s3308,s2199,s1312,s1803,s2221,s2306,s1297,s3083,s1303,s2496,s821,s564,s844,s1630]) ).
cnf(s3373,plain,
( ~ spl0_129
| ~ spl0_133
| ~ spl0_132
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3308,s1718,s1312,s2417,s2982,s3347,s3372,s2990,s1285,s2883,s2945,s3083,s1297,s1303,s2496,s3352,s1397,s3348,s2447,s874,s871,s21,s2983,s52,s1922,s25,s2300,s3371,s1258,s3370,s1694,s695,s3368,s688,s3367,s1630,s821,s564]) ).
cnf(s3374,plain,
( ~ spl0_20
| ~ spl0_133
| ~ spl0_132
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2548,s2549,s1381,s3046,s2883,s1305,s1346,s1297,s1866,s2496,s3369,s1718,s1312,s1880,s2628,s1258,s3280,s3371,s89,s695,s3368,s688,s3367,s1630,s564]) ).
cnf(s3375,plain,
( ~ spl0_137
| ~ spl0_296
| spl0_331
| ~ spl0_287
| ~ spl0_28
| ~ spl0_34
| ~ spl0_97
| spl0_136 ),
inference(rat,[],[s1935,s2535,s29,s2368,s1092,s1004]) ).
cnf(s3376,plain,
( spl0_149
| ~ spl0_153
| ~ spl0_284
| ~ spl0_292
| ~ spl0_28
| ~ spl0_399
| ~ spl0_35 ),
inference(rat,[],[s2649,s2551,s2449,s1876,s2519,s948,s564]) ).
cnf(s3377,plain,
( spl0_168
| ~ spl0_27
| ~ spl0_296
| spl0_331
| ~ spl0_287
| ~ spl0_28 ),
inference(rat,[],[s2535,s873,s2368]) ).
cnf(s3378,plain,
( ~ spl0_226
| ~ spl0_168
| ~ spl0_27
| ~ spl0_153
| spl0_190
| ~ spl0_34
| spl0_141
| ~ spl0_125
| ~ spl0_456
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2782,s2656,s2725,s995,s2781,s909,s1177,s3090,s2669,s2985,s943,s1922,s21,s52,s619,s844,s1146]) ).
cnf(s3379,plain,
( ~ spl0_313
| ~ spl0_133
| ~ spl0_132
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2764,s3090,s2669,s930,s1177,s909,s2781,s2725,s2777,s3177,s3378,s3377,s29,s3076,s2548,s3280,s760,s1749,s2870,s3376,s756,s3375,s2937,s1811,s3046,s3083,s3092,s1297,s1303,s2940,s2496,s3369,s1840,s1718,s1312,s1880,s2628,s2733,s688,s3367,s2155,s25,s21,s871,s2983,s1922,s3368,s45,s634,s52,s2300,s3374,s694,s3373,s1146,s844,s619,s1630,s1668,s821]) ).
cnf(s3380,plain,
( ~ spl0_133
| ~ spl0_132
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3352,s2496,s1397,s1303,s3348,s1284,s1258,s3379,s874,s871,s21,s2983,s52,s1922,s2300,s3374,s1034,s1803,s793,s2155,s694,s3373,s688,s3367,s1694,s4,s434,s3359,s695,s3368,s564,s821,s844]) ).
cnf(s3381,plain,
( ~ spl0_20
| ~ spl0_277
| ~ spl0_136
| ~ spl0_2 ),
inference(rat,[],[s1677,s747,s948,s1856,s2463,s3282,s564]) ).
cnf(s3382,plain,
( ~ spl0_136
| ~ spl0_132
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s945,s1785,s1677,s3331,s747,s2983,s950,s1922,s25,s2300,s3381,s1173,s2022,s877,s753,s694,s2821,s1095,s2408,s1694,s4,s434,s3359,s3368,s572,s3380,s564,s619]) ).
cnf(s3383,plain,
( ~ spl0_20
| ~ spl0_132
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2548,s3046,s2688,s1346,s1297,s1803,s1866,s2496,s2155,s3369,s694,s1718,s1312,s3370,s1880,s2628,s1258,s3304,s874,s871,s21,s3280,s3282,s54,s89,s688,s1009,s3382,s572,s3380,s695,s3368,s844,s564,s821]) ).
cnf(s3384,plain,
( spl0_149
| ~ spl0_19
| ~ spl0_125
| ~ spl0_134
| ~ spl0_151 ),
inference(rat,[],[s1008,s1466,s948,s564]) ).
cnf(s3385,plain,
( ~ spl0_132
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2015,s3029,s760,s2870,s3384,s11,s25,s3383,s2915,s688,s3382,s572,s3380,s695,s3368,s564]) ).
cnf(s3386,plain,
( ~ spl0_20
| ~ spl0_136
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3319,s3282,s571,s3385,s564]) ).
cnf(s3387,plain,
( ~ spl0_133
| ~ spl0_28
| ~ spl0_399
| spl0_126
| ~ spl0_136
| ~ spl0_131
| ~ spl0_2 ),
inference(rat,[],[s1785,s945,s756,s780,s1516,s2878,s2824,s874,s2875,s2983,s697,s2006,s1679]) ).
cnf(s3388,plain,
( ~ spl0_136
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1785,s945,s3331,s780,s2983,s2878,s3049,s2022,s1822,s753,s572,s3387,s21,s52,s1922,s25,s2300,s3386,s694,s2821,s1095,s2408,s1694,s4,s434,s3359,s571,s3385,s564,s619]) ).
cnf(s3389,plain,
( spl0_149
| ~ spl0_20
| ~ spl0_133
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3337,s1258,s695,s3320,s2727,s2878,s760,s780,s1081,s948,s571,s3385,s688,s3388,s871,s874,s3282,s21,s45,s47,s3280,s89,s54,s564,s821]) ).
cnf(s3390,plain,
( spl0_142
| ~ spl0_20
| ~ spl0_133
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1397,s2335,s2401,s697,s1312,s2875,s2982,s1258,s2824,s3317,s3337,s1516,s695,s871,s874,s3282,s21,s54,s2685,s756,s1785,s3389,s1670,s571,s3385,s688,s3388,s564,s821]) ).
cnf(s3391,plain,
( ~ spl0_292
| ~ spl0_158
| ~ spl0_339
| spl0_213
| ~ spl0_133
| ~ spl0_125 ),
inference(rat,[],[s2141,s1260,s2941,s2654,s3369,s564,s821]) ).
cnf(s3392,plain,
( ~ spl0_332
| ~ spl0_126
| ~ spl0_155
| spl0_267
| ~ spl0_133 ),
inference(rat,[],[s2199,s1260,s1297,s1994,s2698,s564]) ).
cnf(s3393,plain,
( ~ spl0_313
| ~ spl0_292
| ~ spl0_142
| spl0_137
| ~ spl0_133
| ~ spl0_125
| ~ spl0_131 ),
inference(rat,[],[s1260,s2271,s2141,s3043,s2941,s3391,s3369,s1397,s1995,s2554,s564,s821]) ).
cnf(s3394,plain,
( ~ spl0_20
| ~ spl0_133
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1866,s2555,s1305,s1816,s1828,s1258,s3393,s1312,s3392,s1165,s1803,s2787,s760,s1034,s2364,s2727,s3049,s3390,s756,s1785,s3389,s45,s47,s871,s21,s3280,s3282,s54,s89,s1670,s4,s434,s3359,s2693,s688,s3388,s571,s3385,s564,s844,s821]) ).
cnf(s3395,plain,
( spl0_142
| spl0_20
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2318,s1692,s871,s2983,s695,s571,s3385,s688,s3388,s11,s1922,s2300,s821,s564]) ).
cnf(s3396,plain,
( ~ spl0_313
| spl0_137
| ~ spl0_126
| spl0_171
| spl0_141
| ~ spl0_142
| ~ spl0_28
| ~ spl0_399
| ~ spl0_133
| ~ spl0_125
| ~ spl0_131 ),
inference(rat,[],[s2177,s7,s3280,s1351,s2271,s2883,s2787,s1260,s1297,s3392,s1994,s2698,s3060,s1397,s3393,s1995,s1803,s1630,s564,s821,s844]) ).
cnf(s3397,plain,
( ~ spl0_133
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s1816,s1312,s2555,s2698,s2496,s1303,s1284,s1258,s3396,s691,s2181,s1165,s1803,s1034,s2822,s2364,s3049,s3395,s21,s52,s1922,s2300,s3394,s1694,s4,s434,s3359,s2693,s688,s3388,s571,s3385,s564,s844]) ).
cnf(s3398,plain,
( spl0_153
| ~ spl0_20
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s2878,s3333,s691,s756,s571,s3385,s874,s3282,s21,s54,s564]) ).
cnf(s3399,plain,
( ~ spl0_20
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s801,s2688,s3042,s1803,s2364,s2727,s695,s1009,s2685,s3398,s871,s3280,s3282,s89,s571,s3385,s688,s3388,s572,s3397,s844,s821,s564]) ).
cnf(s3400,plain,
( ~ spl0_292
| ~ spl0_300
| spl0_299
| ~ spl0_19
| ~ spl0_125 ),
inference(rat,[],[s3055,s1341,s1381]) ).
cnf(s3401,plain,
( spl0_168
| ~ spl0_173
| ~ spl0_134
| ~ spl0_131 ),
inference(rat,[],[s866,s2016,s747,s1842,s564]) ).
cnf(s3404,plain,
( spl0_420
| ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3045,s2977,s3024,s3066,s1261,s2299,s2280,s2787,s21,s52,s2346,s2875,s697,s1671,s869,s2688,s801,s3280,s1749,s945,s1564,s2531,s771,s2181,s1165,s4,s434,s3359,s1694,s25,s694,s1926,s1161,s1034,s3049,s3042,s571,s3385,s2822,s1803,s2364,s3395,s1922,s2300,s3399,s572,s3397,s844,s564]) ).
cnf(s3405,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(rat,[],[s3031,s1259,s2295,s3068,s3404,s1803,s1034,s2364,s3049,s3395,s3399,s4,s434,s3359,s1694,s844]) ).
cnf(s3406,plain,
( spl0_420
| ~ spl0_158
| ~ spl0_97
| spl0_267
| ~ spl0_142
| ~ spl0_2 ),
inference(rat,[],[s3045,s2977,s3024,s3066,s1261,s2299,s2280,s1803,s1946,s1919,s3405,s844]) ).
cnf(s3407,plain,
( ~ spl0_420
| spl0_447
| ~ spl0_34
| ~ spl0_142
| ~ spl0_14 ),
inference(rat,[],[s3034,s2151,s1259,s2546,s3070,s3068,s2072,s2822,s21,s1019,s844]) ).
cnf(s3408,plain,
( ~ spl0_134
| ~ spl0_34
| ~ spl0_142
| ~ spl0_2 ),
inference(rat,[],[s697,s2875,s1671,s3044,s869,s3406,s2688,s2020,s1803,s1922,s2787,s21,s1019,s801,s3042,s571,s3368,s1946,s3407,s2547,s2822,s3280,s19,s1919,s3405,s564,s844]) ).
cnf(s3409,plain,
( ~ spl0_145
| spl0_20
| ~ spl0_142
| ~ spl0_2 ),
inference(rat,[],[s1092,s771,s694,s2531,s1926,s1564,s777,s948,s2102,s2470,s3280,s19,s1946,s571,s3368,s25,s2822,s21,s1019,s1919,s3405,s572,s3408,s2300,s564]) ).
cnf(s3410,plain,
( spl0_20
| ~ spl0_142
| ~ spl0_2 ),
inference(rat,[],[s1304,s1284,s1712,s4,s1828,s1034,s953,s434,s1258,s793,s3292,s3396,s694,s1785,s863,s785,s1081,s1073,s1692,s871,s3409,s688,s2006,s572,s3408,s45,s760,s47,s21,s2822,s1019,s1922,s11,s2300,s8,s2,s3280,s17,s19,s1803,s1946,s1919,s3405,s571,s3368,s564,s821,s844]) ).
cnf(s3411,plain,
( ~ spl0_142
| ~ spl0_2 ),
inference(rat,[],[s1866,s2555,s1305,s1816,s1828,s1312,s1258,s3392,s3396,s2787,s21,s45,s784,s90,s1165,s4,s756,s2117,s1034,s434,s2693,s1092,s793,s3292,s688,s945,s694,s2006,s1564,s863,s572,s2531,s1073,s2688,s2333,s801,s760,s871,s2727,s3282,s1670,s3410,s3042,s571,s1803,s3368,s1946,s3280,s17,s19,s1919,s3405,s564,s821,s844]) ).
cnf(s3412,plain,
( ~ spl0_135
| ~ spl0_2 ),
inference(rat,[],[s953,s1206,s1576,s1072,s2022,s8,s2,s1796,s1919,s3405,s3411,s844]) ).
cnf(s3413,plain,
( ~ spl0_134
| spl0_20
| ~ spl0_2 ),
inference(rat,[],[s2181,s3331,s1062,s2,s1796,s695,s3412,s2552,s2983,s1922,s3411,s25,s21,s1019,s2300,s1919,s3405]) ).
cnf(s3414,plain,
( ~ spl0_131
| spl0_20
| ~ spl0_2 ),
inference(rat,[],[s2181,s756,s3387,s1516,s688,s2824,s1692,s2875,s2318,s1796,s695,s697,s3412,s11,s21,s1019,s1919,s3405,s871,s2983,s1922,s2300,s3411,s572,s3413,s564,s821]) ).
cnf(s3415,plain,
( ~ spl0_126
| ~ spl0_132
| ~ spl0_2 ),
inference(rat,[],[s1580,s953,s2472,s1020,s3325,s8,s2,s3405,s3411,s844]) ).
cnf(s3416,plain,
( ~ spl0_97
| spl0_141
| ~ spl0_133
| ~ spl0_2 ),
inference(rat,[],[s1580,s953,s793,s3292,s8,s2,s3405,s3411,s844]) ).
cnf(s3417,plain,
( ~ spl0_332
| ~ spl0_136
| spl0_20
| ~ spl0_2 ),
inference(rat,[],[s1258,s3348,s2628,s2304,s1796,s871,s874,s21,s1019,s1919,s3405,s2983,s1922,s2300,s3411,s571,s3414,s564,s821]) ).
cnf(s3418,plain,
( ~ spl0_97
| spl0_20
| ~ spl0_2 ),
inference(rat,[],[s3416,s2155,s572,s3413,s571,s3414,s564]) ).
cnf(s3419,plain,
( spl0_137
| spl0_20
| ~ spl0_2 ),
inference(rat,[],[s2141,s2941,s1260,s2441,s2743,s2650,s2253,s2393,s2449,s2387,s2132,s1312,s3417,s777,s950,s1770,s756,s3280,s697,s3412,s25,s35,s2906,s19,s8,s2983,s1922,s3411,s21,s1019,s2300,s1919,s3405,s572,s3413,s2821,s3415,s571,s3414,s694,s3418,s821,s564,s619]) ).
cnf(s3420,plain,
( spl0_20
| ~ spl0_2 ),
inference(rat,[],[s3352,s1397,s1258,s1907,s2221,s3341,s3060,s953,s3351,s777,s3208,s688,s1004,s2303,s3419,s694,s3418,s3415,s571,s3414,s572,s3413,s21,s2983,s1019,s1922,s25,s2300,s8,s2,s1796,s3280,s19,s1919,s3405,s695,s3411,s564,s821]) ).
cnf(s3421,plain,
( ~ spl0_125
| ~ spl0_152
| ~ spl0_134
| ~ spl0_2 ),
inference(rat,[],[s1020,s571,s1011,s2337,s42,s3405,s791,s697,s3412,s695,s3411,s564]) ).
cnf(s3422,plain,
( spl0_137
| ~ spl0_134
| ~ spl0_2 ),
inference(rat,[],[s1735,s747,s948,s1856,s2463,s688,s3421,s3051,s45,s781,s90,s1947,s756,s2117,s8,s3405,s3412,s3282,s3420,s564]) ).
cnf(s3423,plain,
( ~ spl0_134
| ~ spl0_2 ),
inference(rat,[],[s1173,s3381,s877,s688,s694,s1011,s1092,s2181,s3422,s42,s1796,s1919,s3405,s695,s3411,s697,s3412,s3420]) ).
cnf(s3424,plain,
( ~ spl0_131
| ~ spl0_153
| ~ spl0_2 ),
inference(rat,[],[s2824,s1516,s2875,s3411,s697,s3412]) ).
cnf(s3425,plain,
( ~ spl0_97
| ~ spl0_132
| ~ spl0_2 ),
inference(rat,[],[s3416,s2155,s572,s3423,s564]) ).
cnf(s3426,plain,
( spl0_136
| spl0_97
| spl0_126
| spl0_137
| ~ spl0_12 ),
inference(rat,[],[s35,s2902,s1770]) ).
cnf(s3428,plain,
( ~ spl0_283
| ~ spl0_169
| ~ spl0_178
| ~ spl0_136
| ~ spl0_47
| ~ spl0_399 ),
inference(rat,[],[s1718,s1873,s1720,s1876]) ).
cnf(s3429,plain,
( spl0_137
| ~ spl0_2 ),
inference(rat,[],[s2586,s2450,s1260,s1258,s1440,s2141,s1880,s2169,s2941,s3046,s2441,s2647,s2650,s1312,s2393,s2304,s1397,s3428,s873,s747,s948,s1856,s2463,s3426,s694,s3425,s2821,s3415,s571,s3424,s45,s90,s756,s2117,s8,s3280,s19,s1919,s3405,s695,s3411,s1670,s3420,s572,s3423,s564,s821,s619]) ).
cnf(s3430,plain,
( ~ spl0_131
| ~ spl0_125
| ~ spl0_2 ),
inference(rat,[],[s1155,s2338,s3411,s1698,s1092,s3429,s1919,s8,s3405]) ).
cnf(s3431,plain,
( ~ spl0_332
| spl0_136
| ~ spl0_2 ),
inference(rat,[],[s1397,s3352,s1907,s2221,s695,s3411,s572,s3423,s1258,s3339,s571,s3430,s953,s3208,s2181,s1796,s2,s8,s688,s694,s1092,s3429,s1919,s3405,s564]) ).
cnf(s3432,plain,
( spl0_136
| ~ spl0_2 ),
inference(rat,[],[s1339,s1381,s3092,s1305,s1346,s1866,s2646,s2540,s1312,s3431,s45,s90,s1855,s571,s3430,s688,s1785,s1670,s3420,s1698,s1092,s3429,s1919,s8,s3405,s1668,s564]) ).
cnf(s3433,plain,
( spl0_4
| ~ spl0_2 ),
inference(rat,[],[s944,s2674,s2624,s21,s1177,s3387,s909,s571,s747,s2301,s2303,s1856,s3432,s877,s694,s948,s2821,s1092,s1785,s2181,s3429,s572,s3423,s1670,s3420,s1796,s1919,s619,s564,s844]) ).
cnf(s3434,plain,
~ spl0_2,
inference(rat,[],[s3433,s3405]) ).
cnf(s3435,plain,
spl0_1,
inference(rat,[],[s1,s3434]) ).
cnf(s3436,plain,
( ~ spl0_14
| ~ spl0_399
| spl0_221
| ~ spl0_142
| ~ spl0_131
| ~ spl0_135
| ~ spl0_134
| ~ spl0_35 ),
inference(rat,[],[s1415,s2209,s1995,s1258,s39,s1284,s2822,s4,s801,s434,s2688,s1206,s1034,s3042,s1803,s3280,s2022,s1072,s2177,s1796,s871,s1671,s3435,s844,s564,s821]) ).
cnf(s3437,plain,
( ~ spl0_171
| ~ spl0_313
| ~ spl0_142
| spl0_20 ),
inference(rat,[],[s1582,s2209,s2822,s1995,s3435,s844]) ).
cnf(s3438,plain,
( ~ spl0_4
| spl0_184
| ~ spl0_191
| spl0_221
| ~ spl0_97
| ~ spl0_142
| ~ spl0_131
| ~ spl0_135
| spl0_20 ),
inference(rat,[],[s1749,s3280,s945,s801,s1564,s3437,s1258,s1284,s2530,s4,s2319,s434,s3042,s1803,s1034,s3298,s2364,s1057,s564,s844]) ).
cnf(s3439,plain,
( spl0_149
| ~ spl0_142
| ~ spl0_131
| spl0_137
| spl0_20 ),
inference(rat,[],[s1564,s2531,s2822,s1691,s948,s771,s25,s564,s3435]) ).
cnf(s3440,plain,
( ~ spl0_399
| ~ spl0_161
| spl0_221
| ~ spl0_142
| ~ spl0_131
| ~ spl0_135
| ~ spl0_134
| spl0_20
| spl0_136 ),
inference(rat,[],[s865,s694,s3042,s3438,s2364,s8,s3076,s1935,s1048,s29,s871,s3436,s1671,s25,s821]) ).
cnf(s3441,plain,
( ~ spl0_27
| spl0_160
| ~ spl0_324
| spl0_299
| spl0_298
| spl0_221
| ~ spl0_28
| ~ spl0_142
| ~ spl0_131
| ~ spl0_135
| ~ spl0_134
| spl0_20
| spl0_136 ),
inference(rat,[],[s1048,s8,s1946,s2364,s1286,s1258,s2335,s1582,s1922,s3440,s2518,s716,s564,s3435,s844]) ).
cnf(s3442,plain,
( ~ spl0_399
| spl0_97
| spl0_299
| spl0_221
| ~ spl0_28
| ~ spl0_142
| ~ spl0_131
| ~ spl0_135
| ~ spl0_134
| spl0_20
| spl0_136 ),
inference(rat,[],[s3073,s8,s3029,s2364,s3437,s3042,s1258,s865,s2945,s1935,s2990,s29,s874,s871,s3436,s1671,s25,s2915,s694,s564,s821]) ).
cnf(s3443,plain,
( ~ spl0_332
| ~ spl0_126
| ~ spl0_149
| ~ spl0_142
| ~ spl0_131
| ~ spl0_135
| ~ spl0_134
| spl0_20
| spl0_136 ),
inference(rat,[],[s2905,s29,s8,s1946,s2364,s1803,s2020,s1285,s1258,s2335,s63,s1582,s1922,s3442,s1749,s3280,s3441,s1313,s2883,s3083,s1305,s1346,s1297,s1303,s2365,s2698,s21,s784,s3435,s844,s564,s1630]) ).
cnf(s3445,plain,
( ~ spl0_313
| ~ spl0_292
| ~ spl0_142
| spl0_137 ),
inference(rat,[],[s2462,s1397,s1440,s1995,s2554,s3435]) ).
cnf(s3446,plain,
( ~ spl0_14
| ~ spl0_213
| ~ spl0_314
| ~ spl0_131
| ~ spl0_135
| ~ spl0_134 ),
inference(rat,[],[s1289,s2246,s2883,s3042,s1803,s2169,s1072,s1260,s2553,s1630,s844,s564]) ).
cnf(s3447,plain,
( ~ spl0_292
| ~ spl0_131
| ~ spl0_134
| spl0_137
| spl0_20
| spl0_136 ),
inference(rat,[],[s865,s3042,s694,s1087,s1749,s1935,s1054,s29,s3446,s1036,s2916,s1354,s1381,s2417,s2941,s1353,s1260,s2553,s2555,s1816,s1258,s3445,s771,s25,s750,s2693,s1173,s1842,s3439,s695,s1009,s2685,s756,s688,s3435,s564,s821]) ).
cnf(s3448,plain,
( ~ spl0_14
| ~ spl0_127
| ~ spl0_131
| ~ spl0_135 ),
inference(rat,[],[s1068,s1176,s1034,s1175,s2022,s1072,s1796]) ).
cnf(s3449,plain,
( ~ spl0_131
| ~ spl0_134
| spl0_137
| spl0_20
| spl0_136 ),
inference(rat,[],[s1176,s1068,s1175,s1034,s2364,s1057,s1779,s3448,s2821,s3443,s3060,s3447,s3439,s695,s1009,s2685,s750,s756,s688,s3435,s619,s821]) ).
cnf(s3450,plain,
( ~ spl0_332
| ~ spl0_126
| ~ spl0_132 ),
inference(rat,[],[s1284,s1303,s1258,s2698,s2628,s1034,s1020,s1803,s2472,s4,s434,s3325,s564,s844]) ).
cnf(s3451,plain,
( ~ spl0_14
| ~ spl0_221
| ~ spl0_292
| spl0_128
| spl0_137
| spl0_136 ),
inference(rat,[],[s2169,s1440,s2132,s2462,s694,s1397,s1760,s2495,s2789,s1796,s3435,s821]) ).
cnf(s3452,plain,
( ~ spl0_97
| ~ spl0_173
| spl0_30
| ~ spl0_149
| spl0_14
| ~ spl0_221
| ~ spl0_314
| ~ spl0_135
| ~ spl0_153
| spl0_20
| ~ spl0_125 ),
inference(rat,[],[s1828,s1876,s871,s2003,s1036,s1922,s1718,s45,s1054,s2227,s634,s1749,s821,s3435,s564]) ).
cnf(s3453,plain,
( ~ spl0_149
| spl0_14
| ~ spl0_314
| ~ spl0_126
| ~ spl0_132
| ~ spl0_174
| ~ spl0_134
| ~ spl0_153
| spl0_20
| ~ spl0_125 ),
inference(rat,[],[s3400,s1440,s3098,s2496,s3280,s8,s2625,s3073,s1732,s3452,s2689,s21,s3029,s760,s784,s2870,s25,s11,s750,s1312,s3450,s1303,s1284,s1034,s1020,s4,s434,s3325,s1803,s2472,s844,s3435]) ).
cnf(s3454,plain,
( ~ spl0_126
| ~ spl0_142
| ~ spl0_134
| spl0_137
| spl0_20
| spl0_136 ),
inference(rat,[],[s2553,s1260,s1440,s1354,s3400,s1381,s1876,s2551,s2649,s2447,s2916,s871,s1036,s1922,s1691,s3453,s3451,s1284,s1258,s3445,s1312,s3450,s4,s1161,s1803,s434,s1034,s2472,s3325,s1020,s11,s771,s25,s2915,s750,s756,s688,s571,s3449,s564,s821,s3435,s844]) ).
cnf(s3455,plain,
( ~ spl0_313
| ~ spl0_142
| ~ spl0_132
| spl0_137 ),
inference(rat,[],[s1312,s3445,s2628]) ).
cnf(s3456,plain,
( ~ spl0_14
| ~ spl0_314
| ~ spl0_127
| ~ spl0_134
| spl0_137
| spl0_136 ),
inference(rat,[],[s1760,s2789,s694,s1284,s753,s4,s434,s1206,s1034,s1803,s2022,s1072,s1796,s750,s756,s688,s3435,s821,s844]) ).
cnf(s3457,plain,
( ~ spl0_142
| ~ spl0_134
| spl0_137
| spl0_20
| spl0_136 ),
inference(rat,[],[s1760,s2789,s694,s1284,s753,s4,s434,s1803,s1034,s3298,s2364,s1057,s1694,s1779,s3456,s1258,s3455,s2821,s3454,s750,s756,s688,s571,s3449,s3435,s821,s844,s564,s619]) ).
cnf(s3458,plain,
( ~ spl0_134
| spl0_137
| spl0_20
| spl0_136 ),
inference(rat,[],[s2015,s3029,s760,s2870,s3384,s695,s3457,s571,s3449,s2915,s688,s25,s11,s564]) ).
cnf(s3459,plain,
( ~ spl0_313
| spl0_141
| ~ spl0_126
| ~ spl0_142
| ~ spl0_131
| ~ spl0_133
| spl0_137
| spl0_20
| ~ spl0_125 ),
inference(rat,[],[s1582,s2417,s1922,s2941,s3396,s2003,s3437,s1995,s756,s21,s784,s3439,s3435,s844,s821]) ).
cnf(s3460,plain,
( ~ spl0_332
| ~ spl0_314
| spl0_192
| ~ spl0_126
| ~ spl0_191
| ~ spl0_149 ),
inference(rat,[],[s2990,s2945,s1305,s1303,s2365,s2698,s21,s784]) ).
cnf(s3461,plain,
( spl0_221
| spl0_331
| ~ spl0_213
| ~ spl0_292
| ~ spl0_314
| ~ spl0_155
| spl0_192
| ~ spl0_28
| ~ spl0_191
| ~ spl0_149
| ~ spl0_131
| spl0_137 ),
inference(rat,[],[s2242,s3048,s697,s1966,s2553,s1718,s1260,s2417,s2199,s2990,s1285,s2945,s3083,s756,s2883,s564,s1630]) ).
cnf(s3462,plain,
( ~ spl0_14
| ~ spl0_126
| ~ spl0_142
| ~ spl0_131
| spl0_137
| spl0_20
| spl0_136 ),
inference(rat,[],[s422,s1426,s17,s2417,s863,s2941,s694,s2003,s1760,s2495,s2789,s3461,s2169,s2555,s1816,s1312,s3460,s1258,s3459,s1073,s1803,s1946,s1796,s25,s756,s2693,s688,s871,s874,s21,s784,s2470,s3439,s572,s3458,s3435,s844,s821,s564]) ).
cnf(s3463,plain,
( ~ spl0_313
| ~ spl0_126
| ~ spl0_142
| ~ spl0_131
| ~ spl0_133
| spl0_137
| spl0_20
| ~ spl0_125 ),
inference(rat,[],[s2651,s2663,s1260,s8,s1994,s2565,s2364,s2623,s3060,s3459,s3437,s3393,s2554,s25,s21,s784,s3439,s564,s821]) ).
cnf(s3464,plain,
( ~ spl0_154
| spl0_184
| spl0_189
| spl0_14
| ~ spl0_149
| ~ spl0_142
| ~ spl0_131
| spl0_20 ),
inference(rat,[],[s2822,s801,s1054,s3280,s1749,s694,s865,s3435,s564]) ).
cnf(s3465,plain,
( ~ spl0_126
| ~ spl0_142
| ~ spl0_131
| spl0_137
| spl0_20
| spl0_136 ),
inference(rat,[],[s2941,s2417,s2935,s1828,s3012,s760,s2940,s2822,s63,s2905,s3073,s45,s8,s663,s2464,s2364,s3042,s3464,s2555,s1816,s1312,s3460,s1258,s3463,s3076,s1935,s29,s3462,s874,s21,s784,s25,s756,s2693,s688,s871,s2470,s3439,s572,s3458,s821,s3435,s564]) ).
cnf(s3467,plain,
( ~ spl0_123
| ~ spl0_142
| ~ spl0_131
| spl0_137 ),
inference(rat,[],[s3049,s1034,s8,s1068,s1947]) ).
cnf(s3468,plain,
( spl0_141
| spl0_123
| ~ spl0_127
| ~ spl0_131 ),
inference(rat,[],[s1176,s1175]) ).
cnf(s3469,plain,
( ~ spl0_142
| ~ spl0_131
| spl0_136
| spl0_137
| spl0_20 ),
inference(rat,[],[s1779,s1946,s2364,s3468,s3467,s2821,s3465,s619,s3435]) ).
cnf(s3470,plain,
( ~ spl0_131
| spl0_137
| spl0_20
| spl0_136 ),
inference(rat,[],[s2318,s1692,s871,s2102,s2270,s1155,s2338,s695,s3469,s688,s25,s11,s572,s3458,s821,s564]) ).
cnf(s3471,plain,
( spl0_283
| spl0_345
| ~ spl0_292
| spl0_152
| ~ spl0_126
| ~ spl0_133
| ~ spl0_153
| ~ spl0_35
| ~ spl0_125 ),
inference(rat,[],[s2990,s2950,s21,s871,s1260,s784,s2470,s2417,s2141,s2649,s2941,s2551,s2449,s2003,s821,s564,s3435]) ).
cnf(s3472,plain,
( ~ spl0_126
| ~ spl0_314
| ~ spl0_142
| ~ spl0_132
| ~ spl0_133
| ~ spl0_153
| spl0_355
| spl0_20
| ~ spl0_125 ),
inference(rat,[],[s1828,s45,s760,s871,s670,s2822,s1424,s1405,s1766,s895,s1906,s953,s2905,s2,s8,s29,s1694,s1796,s2495,s3471,s1284,s4,s2442,s1312,s1803,s434,s1034,s3450,s2472,s3325,s1020,s25,s821,s564,s3435,s844]) ).
cnf(s3473,plain,
( ~ spl0_149
| ~ spl0_317
| ~ spl0_332
| ~ spl0_314
| ~ spl0_132 ),
inference(rat,[],[s2979,s2536,s1381,s3092,s2949,s1305,s1346,s760,s2365,s2870,s1668]) ).
cnf(s3474,plain,
( ~ spl0_332
| ~ spl0_14
| spl0_141
| ~ spl0_142
| ~ spl0_132
| ~ spl0_133
| spl0_137
| spl0_20 ),
inference(rat,[],[s2744,s1440,s1397,s1671,s2169,s2387,s869,s2199,s2809,s2787,s3280,s21,s422,s2822,s1922,s38,s1691,s1551,s3473,s2794,s1260,s1994,s25,s1803,s2741,s1258,s3455,s3435,s564,s844]) ).
cnf(s3475,plain,
( ~ spl0_46
| ~ spl0_14
| ~ spl0_35 ),
inference(rat,[],[s32,s47,s422,s1019,s53]) ).
cnf(s3476,plain,
( ~ spl0_287
| ~ spl0_292
| ~ spl0_14
| ~ spl0_155
| ~ spl0_314
| ~ spl0_133
| ~ spl0_153
| ~ spl0_125 ),
inference(rat,[],[s1284,s4,s1034,s434,s793,s3292,s694,s3308,s3083,s2387,s2495,s2003,s1796,s1630,s3435]) ).
cnf(s3477,plain,
( ~ spl0_149
| ~ spl0_400
| ~ spl0_47
| ~ spl0_314
| ~ spl0_132
| ~ spl0_133 ),
inference(rat,[],[s1828,s871,s760,s2417,s2470,s2870,s821]) ).
cnf(s3478,plain,
( ~ spl0_14
| spl0_141
| spl0_39
| ~ spl0_142
| ~ spl0_132
| ~ spl0_133
| spl0_137
| spl0_20
| ~ spl0_125 ),
inference(rat,[],[s3049,s1034,s8,s2442,s35,s2650,s2906,s3376,s21,s422,s1922,s38,s1691,s1551,s3477,s2941,s3476,s45,s3475,s1312,s3474,s25,s3472,s1258,s3455,s756,s2434,s1803,s564,s3435,s821,s844,s619]) ).
cnf(s3479,plain,
( spl0_141
| ~ spl0_142
| spl0_137
| spl0_20
| spl0_136 ),
inference(rat,[],[s10,s2902,s3209,s1760,s2789,s1284,s4,s434,s1034,s3298,s3049,s1694,s1779,s29,s3478,s1803,s1770,s3472,s1258,s3455,s571,s3470,s572,s3458,s756,s2434,s688,s3435,s821,s844,s564,s619]) ).
cnf(s3480,plain,
( ~ spl0_142
| spl0_137
| spl0_20
| spl0_136 ),
inference(rat,[],[s1779,s1946,s2364,s3479,s3472,s1258,s3455,s688,s2434,s756,s572,s3458,s571,s3470,s3435,s564,s619]) ).
cnf(s3481,plain,
( ~ spl0_149
| ~ spl0_97
| ~ spl0_295
| ~ spl0_324
| spl0_135
| ~ spl0_283
| ~ spl0_287
| spl0_142
| ~ spl0_132 ),
inference(rat,[],[s2549,s1381,s2548,s1876,s1934,s1922,s3280,s1053,s1749,s2870,s3435,s821]) ).
cnf(s3482,plain,
( ~ spl0_14
| spl0_135
| ~ spl0_283
| ~ spl0_287
| ~ spl0_292
| spl0_142
| ~ spl0_132
| spl0_137
| spl0_20 ),
inference(rat,[],[s3376,s21,s1922,s38,s1691,s1551,s3481,s694,s2937,s3308,s1811,s3083,s3046,s2883,s2495,s2387,s1796,s25,s756,s564,s3435,s1630]) ).
cnf(s3483,plain,
( ~ spl0_4
| ~ spl0_149
| ~ spl0_283
| ~ spl0_313
| spl0_142
| ~ spl0_132
| spl0_136 ),
inference(rat,[],[s3481,s3046,s2883,s1297,s694,s2496,s3370,s3369,s1718,s1880,s1312,s2628,s688,s2335,s1630]) ).
cnf(s3484,plain,
( spl0_4
| spl0_14
| spl0_135
| ~ spl0_132
| spl0_137 ),
inference(rat,[],[s1906,s2905,s1779,s8,s29,s3435]) ).
cnf(s3485,plain,
( ~ spl0_313
| spl0_137
| spl0_20
| spl0_136 ),
inference(rat,[],[s3376,s2937,s21,s1811,s52,s1922,s3083,s1691,s2495,s3483,s1694,s3484,s3482,s2335,s2003,s1718,s1312,s1880,s2628,s688,s25,s756,s571,s3470,s3480,s1630,s564,s3435]) ).
cnf(s3486,plain,
( ~ spl0_149
| ~ spl0_47
| ~ spl0_14
| ~ spl0_314
| spl0_142
| ~ spl0_132
| ~ spl0_133
| ~ spl0_153
| ~ spl0_125 ),
inference(rat,[],[s1803,s1072,s3476,s1053,s1312,s1922,s2365,s1876,s1305,s2003,s1828,s1718,s871,s760,s3477,s2470,s2870,s844,s3435,s821]) ).
cnf(s3487,plain,
( spl0_283
| ~ spl0_155
| ~ spl0_317
| ~ spl0_28
| ~ spl0_34
| ~ spl0_14
| ~ spl0_314
| ~ spl0_151
| ~ spl0_133
| ~ spl0_125 ),
inference(rat,[],[s2787,s2199,s1936,s2169,s697,s3352,s2460,s1397,s3280,s422,s3435]) ).
cnf(s3488,plain,
( spl0_141
| ~ spl0_317
| ~ spl0_28
| ~ spl0_34
| ~ spl0_14
| ~ spl0_314
| ~ spl0_151
| ~ spl0_133
| ~ spl0_125 ),
inference(rat,[],[s1286,s2518,s2883,s1934,s2387,s3487,s1803,s3280,s422,s1630,s844]) ).
cnf(s3489,plain,
( ~ spl0_317
| ~ spl0_28
| ~ spl0_34
| ~ spl0_14
| ~ spl0_314
| ~ spl0_151
| ~ spl0_133
| ~ spl0_125 ),
inference(rat,[],[s3022,s3020,s1381,s2948,s2883,s1876,s1934,s2387,s2460,s697,s1072,s3488,s1922,s3280,s422,s1630,s3435]) ).
cnf(s3490,plain,
( ~ spl0_14
| ~ spl0_314
| spl0_142
| ~ spl0_132
| ~ spl0_133
| spl0_137
| spl0_20
| ~ spl0_125 ),
inference(rat,[],[s2553,s3482,s3369,s2003,s1312,s1718,s1994,s2141,s1260,s3489,s21,s38,s1691,s1551,s3486,s45,s3475,s25,s756,s695,s3435,s564]) ).
cnf(s3491,plain,
( ~ spl0_332
| ~ spl0_149
| ~ spl0_314
| ~ spl0_132
| ~ spl0_133 ),
inference(rat,[],[s1260,s3473,s1994,s564]) ).
cnf(s3492,plain,
( spl0_283
| ~ spl0_149
| ~ spl0_314
| ~ spl0_151
| ~ spl0_132
| ~ spl0_133
| ~ spl0_153
| ~ spl0_35
| ~ spl0_125 ),
inference(rat,[],[s670,s1426,s45,s2417,s3477,s697,s2941,s2460,s2003,s3435,s844,s821]) ).
cnf(s3493,plain,
( ~ spl0_34
| ~ spl0_283
| ~ spl0_173
| spl0_145
| spl0_14
| ~ spl0_314
| ~ spl0_132
| ~ spl0_133
| spl0_137 ),
inference(rat,[],[s3348,s874,s21,s52,s1694,s3484,s670,s45,s1828,s1876,s1922,s871,s821]) ).
cnf(s3494,plain,
( ~ spl0_149
| spl0_189
| spl0_14
| ~ spl0_314
| ~ spl0_151
| ~ spl0_132
| ~ spl0_133
| spl0_137
| spl0_20
| ~ spl0_125 ),
inference(rat,[],[s3046,s2234,s2647,s1305,s694,s1828,s1749,s45,s1054,s53,s3493,s3492,s1312,s3491,s871,s760,s2470,s2870,s25,s756,s3435,s564,s821]) ).
cnf(s3495,plain,
( spl0_283
| ~ spl0_4
| ~ spl0_317
| ~ spl0_16
| ~ spl0_314
| ~ spl0_151
| ~ spl0_133
| ~ spl0_125 ),
inference(rat,[],[s1034,s3071,s1303,s1057,s2946,s2496,s697,s2271,s3352,s2460,s1397,s3435]) ).
cnf(s3496,plain,
( ~ spl0_332
| ~ spl0_34
| spl0_14
| ~ spl0_314
| ~ spl0_151
| ~ spl0_132
| ~ spl0_133
| spl0_137
| spl0_136 ),
inference(rat,[],[s10,s3209,s2902,s793,s1034,s3071,s2745,s2284,s697,s1671,s869,s3348,s1821,s3083,s2495,s3495,s21,s52,s1694,s1779,s1260,s3450,s1994,s688,s29,s1922,s1630,s3435,s564]) ).
cnf(s3497,plain,
( spl0_137
| spl0_20
| spl0_136 ),
inference(rat,[],[s2647,s3046,s694,s1297,s634,s2496,s45,s1440,s1339,s3400,s1381,s3092,s1876,s1934,s52,s2460,s3484,s697,s1936,s3026,s2545,s1312,s3496,s1922,s1691,s948,s3494,s1935,s29,s3490,s2423,s1258,s3485,s695,s3480,s571,s3470,s572,s3458,s688,s25,s11,s1668,s3435,s564]) ).
cnf(s3498,plain,
( ~ spl0_168
| ~ spl0_173
| spl0_283
| spl0_213
| ~ spl0_313
| ~ spl0_131
| ~ spl0_137
| spl0_20
| ~ spl0_125 ),
inference(rat,[],[s3060,s2365,s3369,s1081,s1718,s871,s2359,s1264,s1305,s45,s1582,s53,s1004,s25,s821,s3435,s844]) ).
cnf(s3499,plain,
( ~ spl0_313
| ~ spl0_142
| ~ spl0_131
| ~ spl0_137
| spl0_20
| ~ spl0_125 ),
inference(rat,[],[s3369,s1312,s1718,s1994,s2141,s1260,s2744,s1035,s572,s3401,s3498,s760,s1397,s1440,s3437,s1995,s2554,s564,s3435]) ).
cnf(s3500,plain,
( ~ spl0_332
| ~ spl0_149
| ~ spl0_137
| spl0_20 ),
inference(rat,[],[s1305,s1582,s2365,s1907,s783,s3435,s844]) ).
cnf(s3502,plain,
( ~ spl0_14
| ~ spl0_134
| ~ spl0_142
| ~ spl0_131
| ~ spl0_137 ),
inference(rat,[],[s865,s1078,s694,s3042,s1803,s1092,s1946,s844]) ).
cnf(s3503,plain,
( ~ spl0_149
| spl0_184
| spl0_189
| spl0_14
| ~ spl0_274
| ~ spl0_142
| ~ spl0_131
| ~ spl0_137
| spl0_20 ),
inference(rat,[],[s63,s784,s2905,s2497,s8,s2364,s3042,s694,s3464,s1749,s1054,s783,s29,s3435,s564]) ).
cnf(s3504,plain,
( ~ spl0_332
| ~ spl0_21
| spl0_34
| ~ spl0_16
| ~ spl0_142
| ~ spl0_131
| ~ spl0_137
| spl0_20
| ~ spl0_125 ),
inference(rat,[],[s1289,s3042,s2883,s2364,s2234,s8,s1305,s2905,s1582,s2245,s1234,s1907,s2221,s1314,s1258,s3499,s2459,s39,s25,s1630,s3435,s844,s564]) ).
cnf(s3506,plain,
( spl0_135
| spl0_156
| ~ spl0_21
| ~ spl0_37
| ~ spl0_178
| ~ spl0_16
| ~ spl0_134
| ~ spl0_131
| ~ spl0_125 ),
inference(rat,[],[s691,s2821,s8,s3468,s2905,s1068,s764,s1034,s1087,s700,s2667,s2346,s750,s619,s3435]) ).
cnf(s3507,plain,
( spl0_299
| ~ spl0_135
| ~ spl0_292
| ~ spl0_148
| ~ spl0_19
| ~ spl0_125 ),
inference(rat,[],[s2553,s1260,s1440,s1354,s3400,s1381,s564]) ).
cnf(s3508,plain,
( ~ spl0_134
| ~ spl0_142
| ~ spl0_131
| spl0_20
| spl0_136 ),
inference(rat,[],[s1260,s2553,s1353,s3369,s1718,s2359,s3507,s3506,s1312,s3504,s1029,s1054,s39,s1004,s2567,s746,s1114,s1158,s948,s3503,s3076,s1935,s29,s3502,s1173,s3057,s1842,s2915,s688,s25,s11,s3497,s564,s3435]) ).
cnf(s3509,plain,
( ~ spl0_14
| ~ spl0_292
| spl0_145
| spl0_34
| ~ spl0_142
| ~ spl0_131
| ~ spl0_137
| spl0_20 ),
inference(rat,[],[s1582,s3098,s2495,s3083,s17,s1811,s863,s3468,s1073,s2821,s694,s1803,s2181,s1092,s1946,s1796,s871,s3435,s844,s1630,s619,s821]) ).
cnf(s3510,plain,
( ~ spl0_149
| ~ spl0_142
| ~ spl0_131
| spl0_20
| spl0_136 ),
inference(rat,[],[s2364,s3042,s8,s3464,s2905,s3076,s1935,s29,s3509,s1234,s2459,s1312,s39,s3500,s2470,s783,s25,s3497,s1804,s572,s3508,s3435,s564]) ).
cnf(s3511,plain,
( ~ spl0_34
| ~ spl0_189
| ~ spl0_14
| ~ spl0_137 ),
inference(rat,[],[s32,s873,s422,s1004]) ).
cnf(s3512,plain,
( ~ spl0_14
| ~ spl0_178
| ~ spl0_133
| ~ spl0_142
| ~ spl0_131
| ~ spl0_137
| spl0_20 ),
inference(rat,[],[s32,s873,s700,s2102,s780,s21,s1052,s3511,s2878,s1962,s8,s3049,s2341,s1034,s1068,s3468,s865,s2821,s694,s3042,s2181,s1092,s1946,s1796,s3435,s821,s619]) ).
cnf(s3513,plain,
( ~ spl0_332
| ~ spl0_133
| ~ spl0_137 ),
inference(rat,[],[s2744,s1397,s1440,s1260,s1907,s2221,s1994,s1035,s3435,s564]) ).
cnf(s3514,plain,
( spl0_141
| ~ spl0_317
| ~ spl0_339
| ~ spl0_285
| spl0_171
| spl0_184
| ~ spl0_15
| ~ spl0_131 ),
inference(rat,[],[s2234,s3280,s2883,s801,s1351,s3042,s2271,s1630]) ).
cnf(s3515,plain,
( ~ spl0_34
| spl0_184
| spl0_149
| ~ spl0_133
| ~ spl0_142
| ~ spl0_131
| ~ spl0_137
| spl0_20 ),
inference(rat,[],[s716,s1048,s3280,s882,s8,s1087,s2464,s2364,s3514,s1260,s1397,s2090,s1876,s1305,s1381,s2334,s869,s2531,s1081,s45,s1564,s760,s714,s1004,s2822,s1922,s7,s3512,s948,s1312,s3513,s564]) ).
cnf(s3516,plain,
( ~ spl0_142
| ~ spl0_131
| spl0_20
| spl0_136 ),
inference(rat,[],[s4,s1165,s434,s1803,s1034,s691,s3298,s2364,s3049,s8,s2905,s1234,s2459,s39,s3515,s3076,s29,s3512,s782,s2567,s948,s3510,s773,s1035,s1804,s572,s3508,s25,s3497,s844,s3435,s564]) ).
cnf(s3517,plain,
( spl0_135
| spl0_244
| ~ spl0_146
| spl0_142 ),
inference(rat,[],[s572,s791,s954,s697,s695,s564,s3435]) ).
cnf(s3518,plain,
( ~ spl0_14
| ~ spl0_135
| ~ spl0_131
| ~ spl0_137 ),
inference(rat,[],[s2821,s2181,s3448,s1796,s619]) ).
cnf(s3519,plain,
( ~ spl0_131
| spl0_20
| spl0_136 ),
inference(rat,[],[s2981,s2821,s1057,s691,s8,s1698,s694,s1749,s1054,s3518,s2685,s1173,s1009,s3384,s1842,s572,s1035,s3517,s1254,s1004,s951,s2270,s1155,s2337,s2338,s695,s3516,s688,s25,s11,s3497,s619,s3435,s564,s821]) ).
cnf(s3520,plain,
( ~ spl0_149
| ~ spl0_132
| ~ spl0_137 ),
inference(rat,[],[s1053,s2870,s783,s789,s1061,s3435,s821]) ).
cnf(s3521,plain,
( spl0_20
| spl0_136 ),
inference(rat,[],[s980,s910,s1569,s1169,s1158,s1151,s2864,s747,s909,s951,s926,s1254,s954,s572,s3384,s948,s3520,s695,s1061,s789,s571,s3519,s3497,s11,s25,s688,s844,s564,s821,s3435]) ).
cnf(s3522,plain,
( ~ spl0_14
| ~ spl0_134
| ~ spl0_142
| ~ spl0_131
| ~ spl0_20 ),
inference(rat,[],[s801,s2688,s3280,s3042,s1803,s28,s1946,s2727,s871,s1392,s844,s821]) ).
cnf(s3523,plain,
( spl0_141
| spl0_189
| ~ spl0_134
| ~ spl0_191
| spl0_171
| ~ spl0_131 ),
inference(rat,[],[s1749,s694,s3280,s865,s801,s2688,s3042,s1803,s945,s1564,s2531,s2333,s844]) ).
cnf(s3526,plain,
( spl0_230
| ~ spl0_47
| ~ spl0_53
| ~ spl0_126
| ~ spl0_168
| ~ spl0_142
| spl0_137
| spl0_136 ),
inference(rat,[],[s2755,s3177,s2724,s1383,s3064,s2765,s1438,s995,s2461,s909,s910,s2672,s1905,s1015,s688,s756,s1392,s3521,s619,s2316,s3435,s844]) ).
cnf(s3527,plain,
( ~ spl0_134
| ~ spl0_142
| ~ spl0_131
| spl0_137
| spl0_136 ),
inference(rat,[],[s910,s2677,s2513,s1159,s1109,s909,s1438,s995,s2444,s2766,s2755,s3177,s2724,s1672,s2760,s3526,s45,s3268,s63,s784,s2905,s1779,s8,s2364,s3523,s1935,s2880,s29,s3522,s3401,s750,s688,s1670,s2117,s756,s760,s945,s1564,s2531,s2333,s871,s1392,s2727,s3521,s844,s1630,s619,s3435,s821]) ).
cnf(s3528,plain,
( ~ spl0_14
| ~ spl0_142
| ~ spl0_131
| spl0_137
| spl0_136 ),
inference(rat,[],[s1284,s4,s1258,s1034,s434,s2789,s3396,s793,s3292,s1760,s21,s694,s784,s863,s2821,s1073,s17,s3468,s1803,s28,s1946,s1796,s688,s1670,s3467,s945,s1564,s2531,s2333,s871,s1392,s2727,s3521,s572,s3527,s564,s821,s3435,s619,s844]) ).
cnf(s3531,plain,
( ~ spl0_299
| ~ spl0_149
| ~ spl0_153
| spl0_136 ),
inference(rat,[],[s1718,s2003,s2417,s1876,s688,s1670,s3521,s3435]) ).
cnf(s3532,plain,
( ~ spl0_47
| spl0_299
| ~ spl0_133
| ~ spl0_149
| ~ spl0_173
| spl0_145
| ~ spl0_142
| ~ spl0_131
| spl0_137
| ~ spl0_125 ),
inference(rat,[],[s3092,s1881,s1346,s1260,s2365,s1994,s3060,s3393,s1258,s1828,s871,s1381,s1668,s564,s821]) ).
cnf(s3533,plain,
( ~ spl0_142
| ~ spl0_131
| spl0_137
| spl0_136 ),
inference(rat,[],[s1779,s54,s784,s3268,s45,s3532,s3531,s2880,s3528,s572,s3527,s945,s1564,s2531,s2333,s871,s760,s1392,s2727,s688,s3521,s2117,s756,s3435,s564,s821]) ).
cnf(s3534,plain,
( ~ spl0_131
| spl0_137
| spl0_136 ),
inference(rat,[],[s793,s1698,s1531,s8,s42,s532,s670,s45,s1881,s1381,s3092,s1260,s1305,s1346,s2553,s1866,s3317,s1671,s572,s697,s1155,s1009,s2876,s2338,s695,s3533,s2685,s688,s1670,s3521,s756,s1668,s564,s3435]) ).
cnf(s3535,plain,
( ~ spl0_14
| ~ spl0_134
| ~ spl0_142
| spl0_137
| spl0_136 ),
inference(rat,[],[s1284,s4,s3451,s1312,s434,s1161,s3450,s1206,s1034,s2821,s1803,s2022,s3456,s1946,s1796,s1258,s3455,s571,s3534,s750,s756,s688,s619,s844,s3435,s564]) ).
cnf(s3536,plain,
( ~ spl0_149
| spl0_14
| ~ spl0_142
| spl0_137
| spl0_136 ),
inference(rat,[],[s1779,s54,s784,s3268,s45,s1828,s3531,s2117,s756,s1258,s3455,s571,s3534,s760,s2727,s871,s1392,s3521,s2880,s3435,s821,s564]) ).
cnf(s3537,plain,
( ~ spl0_4
| ~ spl0_134
| ~ spl0_142
| spl0_137
| spl0_136 ),
inference(rat,[],[s1760,s2789,s2020,s1284,s2787,s4,s3280,s21,s434,s1803,s1034,s27,s54,s3298,s2364,s3049,s1694,s2727,s3521,s1258,s3455,s571,s3534,s3435,s821,s844,s564]) ).
cnf(s3538,plain,
( ~ spl0_134
| ~ spl0_142
| spl0_137
| spl0_136 ),
inference(rat,[],[s2389,s747,s2534,s1070,s1864,s21,s1303,s780,s1284,s1312,s1803,s1034,s3051,s4,s3450,s2472,s1020,s1947,s1079,s1779,s8,s3537,s948,s3536,s29,s3535,s2324,s1258,s3455,s571,s3534,s760,s2727,s871,s1392,s3521,s564,s844,s3435,s821]) ).
cnf(s3539,plain,
( ~ spl0_14
| ~ spl0_133
| ~ spl0_314
| ~ spl0_142
| ~ spl0_153
| spl0_136 ),
inference(rat,[],[s3476,s1312,s1718,s1994,s2141,s1260,s2794,s2809,s3280,s2741,s1803,s28,s1946,s688,s2727,s871,s1392,s3521,s564,s844,s821]) ).
cnf(s3540,plain,
( ~ spl0_4
| spl0_141
| ~ spl0_133
| ~ spl0_314
| spl0_145
| spl0_171
| ~ spl0_153
| spl0_136 ),
inference(rat,[],[s2141,s1260,s2941,s2794,s2003,s2809,s3348,s874,s3280,s21,s27,s54,s1694,s688,s1670,s3521,s871,s1803,s2741,s564,s821,s3435,s844]) ).
cnf(s3541,plain,
( spl0_283
| ~ spl0_386
| ~ spl0_153
| ~ spl0_125 ),
inference(rat,[],[s2941,s2722,s2003,s821,s1630,s3435]) ).
cnf(s3542,plain,
( spl0_4
| ~ spl0_142
| spl0_137
| spl0_136 ),
inference(rat,[],[s1798,s1775,s3493,s3541,s1681,s893,s953,s3325,s1779,s3484,s2,s8,s688,s1392,s760,s2727,s3521,s3539,s572,s3538,s1258,s3455,s571,s3534,s756,s564,s3435,s651]) ).
cnf(s3543,plain,
( ~ spl0_142
| spl0_137
| spl0_136 ),
inference(rat,[],[s3540,s2364,s3542,s572,s3538,s1258,s1392,s2727,s3455,s3521,s756,s571,s3534,s564]) ).
cnf(s3544,plain,
( ~ spl0_313
| ~ spl0_135
| ~ spl0_132
| ~ spl0_153
| ~ spl0_125 ),
inference(rat,[],[s2003,s1718,s2335,s1880,s3435]) ).
cnf(s3545,plain,
( ~ spl0_4
| ~ spl0_314
| spl0_145
| ~ spl0_257
| ~ spl0_20 ),
inference(rat,[],[s874,s21,s3304,s54,s871,s821]) ).
cnf(s3546,plain,
( spl0_141
| ~ spl0_12
| ~ spl0_174
| ~ spl0_134
| ~ spl0_151 ),
inference(rat,[],[s1444,s3069,s1803,s844]) ).
cnf(s3547,plain,
( ~ spl0_134
| spl0_137
| spl0_136 ),
inference(rat,[],[s1779,s2472,s1072,s3546,s8,s3545,s1258,s3544,s1671,s1009,s750,s2915,s688,s1670,s3521,s756,s571,s3534,s695,s3543,s3435,s564]) ).
cnf(s3548,plain,
( ~ spl0_313
| ~ spl0_4
| spl0_137
| spl0_136 ),
inference(rat,[],[s2937,s1811,s2519,s3083,s948,s1876,s2495,s3483,s2003,s1718,s1312,s1880,s2628,s688,s1670,s756,s571,s3534,s3543,s1694,s21,s54,s3521,s1630,s564,s3435]) ).
cnf(s3549,plain,
( spl0_168
| spl0_299
| ~ spl0_14
| ~ spl0_4
| spl0_137
| spl0_136 ),
inference(rat,[],[s2141,s1260,s2941,s3489,s1873,s1775,s747,s695,s21,s948,s3486,s45,s47,s3280,s27,s54,s3521,s572,s3547,s3543,s571,s3534,s1258,s3548,s756,s688,s564,s821,s3435,s651]) ).
cnf(s3550,plain,
( spl0_145
| ~ spl0_4
| spl0_137
| spl0_136 ),
inference(rat,[],[s3337,s874,s871,s688,s695,s3543,s572,s3547,s21,s54,s3521,s1258,s3548,s821,s564]) ).
cnf(s3551,plain,
( ~ spl0_4
| spl0_137
| spl0_136 ),
inference(rat,[],[s1312,s1339,s3496,s3092,s3549,s1381,s1934,s1876,s2470,s2460,s697,s1775,s1671,s2102,s3550,s1258,s3548,s45,s47,s3280,s27,s54,s1670,s3521,s571,s3534,s695,s3543,s572,s3547,s1668,s3435,s651,s564]) ).
cnf(s3552,plain,
( ~ spl0_313
| spl0_137
| spl0_136 ),
inference(rat,[],[s2548,s2549,s1346,s1381,s3046,s2883,s3280,s1866,s1876,s2387,s28,s3369,s2003,s3484,s1718,s1312,s3544,s1880,s2628,s688,s1670,s3521,s756,s571,s3534,s3551,s1630,s3435,s564]) ).
cnf(s3554,plain,
( ~ spl0_155
| ~ spl0_283
| ~ spl0_14
| ~ spl0_314
| ~ spl0_133
| ~ spl0_153
| ~ spl0_125 ),
inference(rat,[],[s3476,s1312,s1718,s1994,s2141,s1260,s2199,s1285,s2883,s2387,s3083,s2495,s1796,s564,s1630]) ).
cnf(s3555,plain,
( ~ spl0_141
| spl0_137
| spl0_136 ),
inference(rat,[],[s3426,s2155,s2472,s571,s3534,s8,s3551,s564]) ).
cnf(s3556,plain,
( ~ spl0_14
| spl0_141
| ~ spl0_314
| ~ spl0_133
| ~ spl0_151
| ~ spl0_153
| ~ spl0_125 ),
inference(rat,[],[s1286,s2241,s1034,s2883,s1260,s2022,s2169,s2553,s697,s3352,s2460,s1397,s3554,s1796,s1803,s1630,s564,s3435,s844]) ).
cnf(s3557,plain,
( spl0_137
| spl0_136 ),
inference(rat,[],[s953,s1580,s3325,s1020,s1779,s3556,s3555,s1258,s3552,s2,s8,s3551,s572,s3547,s695,s3543,s571,s3534,s756,s688,s844,s3435,s564]) ).
cnf(s3558,plain,
( spl0_171
| ~ spl0_131
| spl0_175
| ~ spl0_178 ),
inference(rat,[],[s1564,s2531]) ).
cnf(s3559,plain,
( ~ spl0_131
| ~ spl0_14
| ~ spl0_313
| spl0_136 ),
inference(rat,[],[s2565,s3046,s3042,s2647,s865,s873,s1312,s951,s3513,s1254,s572,s3517,s791,s2337,s695,s2727,s3558,s697,s3518,s688,s948,s1785,s1670,s694,s1092,s792,s2181,s1796,s3557,s3280,s28,s3521,s821,s564]) ).
cnf(s3560,plain,
( ~ spl0_14
| ~ spl0_313
| spl0_136 ),
inference(rat,[],[s953,s2,s8,s3370,s3339,s571,s3559,s3208,s694,s2181,s1092,s1796,s688,s3557,s564]) ).
cnf(s3561,plain,
( ~ spl0_142
| ~ spl0_131
| spl0_136 ),
inference(rat,[],[s2333,s871,s3558,s1392,s2727,s948,s1785,s3557,s1670,s3521,s821,s564]) ).
cnf(s3562,plain,
( ~ spl0_134
| ~ spl0_4
| ~ spl0_131
| spl0_136 ),
inference(rat,[],[s1671,s780,s697,s2878,s791,s1822,s948,s1785,s1670,s695,s2337,s3561,s688,s21,s54,s3521,s2821,s2181,s1694,s3557,s619,s564]) ).
cnf(s3563,plain,
( ~ spl0_4
| ~ spl0_131
| spl0_136 ),
inference(rat,[],[s1127,s1015,s1438,s1672,s1383,s2671,s747,s909,s951,s926,s1254,s954,s1035,s572,s3562,s45,s47,s3280,s27,s54,s948,s1785,s3557,s1670,s3521,s2337,s3561,s688,s564,s844,s821,s3435]) ).
cnf(s3564,plain,
( ~ spl0_168
| ~ spl0_53
| ~ spl0_97
| ~ spl0_137 ),
inference(rat,[],[s63,s1059,s1004]) ).
cnf(s3565,plain,
( ~ spl0_131
| ~ spl0_16
| spl0_136 ),
inference(rat,[],[s1127,s1015,s1438,s1672,s1383,s2674,s1177,s876,s747,s3564,s909,s1099,s2905,s1698,s8,s3563,s1155,s2337,s2338,s3561,s688,s948,s1785,s3557,s1670,s3521,s564,s844,s3435]) ).
cnf(s3566,plain,
( ~ spl0_313
| spl0_136 ),
inference(rat,[],[s953,s2,s8,s462,s1453,s1053,s532,s3268,s713,s45,s1339,s2525,s1381,s3092,s1305,s1346,s1866,s3369,s1718,s1312,s1880,s2628,s1061,s789,s1855,s571,s3565,s2880,s29,s3560,s688,s1785,s3557,s1670,s3521,s3435,s821,s844,s1668,s564]) ).
cnf(s3567,plain,
( ~ spl0_131
| spl0_136 ),
inference(rat,[],[s1092,s1698,s1155,s29,s8,s2338,s3565,s3563,s3561,s688,s3557]) ).
cnf(s3568,plain,
( ~ spl0_14
| spl0_136 ),
inference(rat,[],[s2649,s2675,s2448,s2821,s3280,s2495,s2181,s28,s1796,s1785,s1670,s3521,s1312,s1907,s2460,s697,s1061,s1258,s3566,s695,s789,s571,s3567,s3557,s619,s564,s3435]) ).
cnf(s3569,plain,
( ~ spl0_4
| spl0_136 ),
inference(rat,[],[s2649,s2675,s2448,s2821,s3280,s2495,s2181,s27,s1694,s1785,s1670,s3521,s1312,s1907,s2460,s697,s1061,s1258,s3566,s695,s789,s571,s3567,s3557,s619,s564,s3435]) ).
cnf(s3570,plain,
spl0_136,
inference(rat,[],[s1438,s1383,s1112,s2674,s1150,s1177,s747,s909,s877,s951,s926,s694,s1254,s793,s954,s572,s1011,s2821,s764,s1906,s2905,s2,s8,s42,s3569,s29,s3568,s697,s695,s1061,s789,s571,s3567,s948,s1785,s3557,s1670,s3521,s688,s564,s844,s821,s3435,s619]) ).
cnf(s3571,plain,
( ~ spl0_127
| ~ spl0_14
| ~ spl0_131
| spl0_137 ),
inference(rat,[],[s3468,s1946,s3467,s695,s2876,s697,s3448,s3435]) ).
cnf(s3574,plain,
( ~ spl0_313
| spl0_141
| ~ spl0_142
| spl0_20
| ~ spl0_131 ),
inference(rat,[],[s1582,s1264,s950,s869,s3401,s3523,s760,s3437,s1995,s1078,s1803,s572,s2006,s3435,s844,s3570,s564]) ).
cnf(s3575,plain,
( ~ spl0_332
| ~ spl0_326
| ~ spl0_314
| ~ spl0_27
| ~ spl0_149
| ~ spl0_126 ),
inference(rat,[],[s2971,s2883,s2802,s3092,s1297,s1346,s2698,s2365,s1630,s1668]) ).
cnf(s3576,plain,
( ~ spl0_157
| ~ spl0_292
| ~ spl0_314
| ~ spl0_131
| spl0_137 ),
inference(rat,[],[s3048,s2284,s2242]) ).
cnf(s3577,plain,
( ~ spl0_142
| spl0_20
| ~ spl0_14
| ~ spl0_131
| spl0_137 ),
inference(rat,[],[s2495,s1284,s1397,s4,s2462,s434,s1440,s1206,s1034,s3446,s2022,s697,s3576,s1312,s3575,s2741,s1258,s3574,s3280,s1749,s694,s865,s1078,s572,s3042,s1803,s2006,s1946,s3439,s1796,s2821,s3571,s3435,s564,s844,s3570,s619]) ).
cnf(s3578,plain,
( spl0_142
| ~ spl0_14
| ~ spl0_131
| spl0_137 ),
inference(rat,[],[s953,s1206,s1576,s2022,s1072,s697,s2876,s695,s1796,s8,s2,s2408,s2821,s3571,s844,s3435,s3570,s619]) ).
cnf(s3579,plain,
( ~ spl0_14
| ~ spl0_131
| spl0_137 ),
inference(rat,[],[s3522,s572,s3577,s2006,s3578,s3570,s564]) ).
cnf(s3582,plain,
( spl0_221
| spl0_323 ),
inference(rat,[],[s3083,s1630]) ).
cnf(s3583,plain,
( spl0_292
| spl0_332 ),
inference(rat,[],[s3060,s821]) ).
cnf(s3589,plain,
( spl0_287
| spl0_400 ),
inference(rat,[],[s2941,s821]) ).
cnf(s3592,plain,
( spl0_53
| ~ spl0_12
| ~ spl0_16 ),
inference(rat,[],[s2905,s3435]) ).
cnf(s3598,plain,
( spl0_324
| spl0_331 ),
inference(rat,[],[s2883,s1630]) ).
cnf(s3599,plain,
( spl0_38
| spl0_14 ),
inference(rat,[],[s2880,s3435]) ).
cnf(s3600,plain,
( ~ spl0_151
| ~ spl0_157
| spl0_137
| ~ spl0_131 ),
inference(rat,[],[s2876,s3435]) ).
cnf(s3609,plain,
( ~ spl0_213
| ~ spl0_332 ),
inference(rat,[],[s2828,s3570]) ).
cnf(s3611,plain,
( spl0_126
| spl0_127 ),
inference(rat,[],[s2821,s619]) ).
cnf(s3612,plain,
( ~ spl0_457
| ~ spl0_231
| spl0_135
| ~ spl0_236 ),
inference(rat,[],[s2801,s3435]) ).
cnf(s3615,plain,
( spl0_238
| spl0_247 ),
inference(rat,[],[s2766,s1630]) ).
cnf(s3616,plain,
( spl0_238
| spl0_247 ),
inference(rat,[],[s2765,s2316]) ).
cnf(s3623,plain,
( spl0_457
| spl0_458 ),
inference(rat,[],[s2724,s619]) ).
cnf(s3653,plain,
( ~ spl0_317
| ~ spl0_339
| ~ spl0_300
| ~ spl0_152
| ~ spl0_397 ),
inference(rat,[],[s2588,s3435]) ).
cnf(s3655,plain,
( spl0_283
| ~ spl0_385 ),
inference(rat,[],[s2582,s1630,s1668]) ).
cnf(s3662,plain,
( ~ spl0_114
| spl0_299 ),
inference(rat,[],[s2525,s844]) ).
cnf(s3671,plain,
( ~ spl0_149
| ~ spl0_20 ),
inference(rat,[],[s2463,s3570]) ).
cnf(s3672,plain,
( ~ spl0_300
| ~ spl0_339
| spl0_137
| ~ spl0_292 ),
inference(rat,[],[s2462,s3435]) ).
cnf(s3673,plain,
( ~ spl0_211
| ~ spl0_236
| spl0_137
| ~ spl0_231 ),
inference(rat,[],[s2461,s3435]) ).
cnf(s3674,plain,
( spl0_283
| ~ spl0_157
| ~ spl0_314
| ~ spl0_151 ),
inference(rat,[],[s2460,s3435]) ).
cnf(s3675,plain,
( spl0_36
| ~ spl0_37
| ~ spl0_35 ),
inference(rat,[],[s2459,s3435]) ).
cnf(s3676,plain,
( spl0_137
| ~ spl0_355 ),
inference(rat,[],[s2434,s564,s619]) ).
cnf(s3685,plain,
( ~ spl0_126
| ~ spl0_4 ),
inference(rat,[],[s2408,s3570]) ).
cnf(s3690,plain,
( ~ spl0_83
| spl0_142 ),
inference(rat,[],[s2373,s619]) ).
cnf(s3723,plain,
( ~ spl0_133
| ~ spl0_142 ),
inference(rat,[],[s2006,s3570]) ).
cnf(s3748,plain,
( ~ spl0_168
| ~ spl0_20 ),
inference(rat,[],[s1856,s3570]) ).
cnf(s3754,plain,
( spl0_141
| spl0_155 ),
inference(rat,[],[s1803,s844]) ).
cnf(s3755,plain,
( ~ spl0_299
| ~ spl0_30
| spl0_14
| spl0_4
| spl0_283 ),
inference(rat,[],[s1795,s3435,s1630]) ).
cnf(s3764,plain,
( spl0_126
| spl0_4
| spl0_137
| spl0_14 ),
inference(rat,[],[s1779,s3435]) ).
cnf(s3784,plain,
( ~ spl0_283
| ~ spl0_400 ),
inference(rat,[],[s1720,s3570]) ).
cnf(s3786,plain,
( spl0_287
| spl0_400 ),
inference(rat,[],[s1716,s619]) ).
cnf(s3787,plain,
( ~ spl0_217
| ~ spl0_299
| spl0_20 ),
inference(rat,[],[s1712,s564]) ).
cnf(s3796,plain,
( spl0_34
| spl0_149
| spl0_20
| spl0_137 ),
inference(rat,[],[s1691,s3435,s564]) ).
cnf(s3805,plain,
( ~ spl0_135
| ~ spl0_133 ),
inference(rat,[],[s1679,s3570]) ).
cnf(s3815,plain,
( spl0_34
| spl0_283
| spl0_20
| spl0_299 ),
inference(rat,[],[s1582,s844,s3435]) ).
cnf(s3817,plain,
( ~ spl0_11
| spl0_152
| spl0_141
| spl0_142 ),
inference(rat,[],[s1580,s844]) ).
cnf(s3819,plain,
( ~ spl0_11
| spl0_152
| ~ spl0_14
| ~ spl0_135
| spl0_142 ),
inference(rat,[],[s1576,s844]) ).
cnf(s3830,plain,
( ~ spl0_265
| spl0_385
| spl0_14
| spl0_4 ),
inference(rat,[],[s1553,s3435]) ).
cnf(s3863,plain,
( ~ spl0_196
| spl0_34
| spl0_142
| ~ spl0_171 ),
inference(rat,[],[s1498,s564,s844]) ).
cnf(s3901,plain,
( spl0_34
| spl0_283
| ~ spl0_35
| spl0_299 ),
inference(rat,[],[s1426,s844,s3435]) ).
cnf(s3903,plain,
( ~ spl0_196
| ~ spl0_145
| ~ spl0_135
| spl0_355 ),
inference(rat,[],[s1424,s3435,s564]) ).
cnf(s3917,plain,
( ~ spl0_196
| spl0_34
| spl0_20
| spl0_355 ),
inference(rat,[],[s1405,s3435,s564]) ).
cnf(s3960,plain,
( spl0_292
| spl0_332 ),
inference(rat,[],[s1309,s619]) ).
cnf(s3978,plain,
( spl0_317
| spl0_318 ),
inference(rat,[],[s1260,s564]) ).
cnf(s3980,plain,
( spl0_313
| spl0_314 ),
inference(rat,[],[s1258,s564]) ).
cnf(s3981,plain,
( spl0_70
| ~ spl0_30
| spl0_20
| spl0_34
| ~ spl0_53 ),
inference(rat,[],[s1257,s3435]) ).
cnf(s4005,plain,
( ~ spl0_97
| ~ spl0_4 ),
inference(rat,[],[s1095,s3570]) ).
cnf(s4008,plain,
( spl0_21
| spl0_34
| spl0_14
| spl0_20 ),
inference(rat,[],[s1054,s564,s3435]) ).
cnf(s4009,plain,
( spl0_34
| spl0_171
| spl0_135
| spl0_142 ),
inference(rat,[],[s1053,s821,s3435]) ).
cnf(s4010,plain,
( ~ spl0_30
| spl0_265
| spl0_20
| spl0_34 ),
inference(rat,[],[s1052,s3435]) ).
cnf(s4021,plain,
( ~ spl0_209
| spl0_254
| ~ spl0_137
| spl0_256 ),
inference(rat,[],[s985,s3435]) ).
cnf(s4027,plain,
( ~ spl0_152
| spl0_198
| spl0_135
| spl0_142 ),
inference(rat,[],[s955,s3435]) ).
cnf(s4030,plain,
( ~ spl0_168
| ~ spl0_200 ),
inference(rat,[],[s951,s821]) ).
cnf(s4031,plain,
( ~ spl0_168
| ~ spl0_34 ),
inference(rat,[],[s950,s3570]) ).
cnf(s4032,plain,
( spl0_149
| spl0_178 ),
inference(rat,[],[s948,s564]) ).
cnf(s4034,plain,
( ~ spl0_200
| ~ spl0_209 ),
inference(rat,[],[s926,s821]) ).
cnf(s4040,plain,
( spl0_210
| spl0_211 ),
inference(rat,[],[s910,s844]) ).
cnf(s4041,plain,
( spl0_208
| spl0_209 ),
inference(rat,[],[s909,s844]) ).
cnf(s4050,plain,
( ~ spl0_133
| spl0_200
| spl0_142 ),
inference(rat,[],[s899,s3570,s3435]) ).
cnf(s4054,plain,
( ~ spl0_11
| spl0_196
| spl0_4
| spl0_14 ),
inference(rat,[],[s895,s3435]) ).
cnf(s4063,plain,
( spl0_145
| spl0_191 ),
inference(rat,[],[s871,s821]) ).
cnf(s4064,plain,
( spl0_145
| spl0_191 ),
inference(rat,[],[s870,s619]) ).
cnf(s4069,plain,
( ~ spl0_70
| ~ spl0_133 ),
inference(rat,[],[s804,s619,s3570]) ).
cnf(s4075,plain,
( spl0_168
| spl0_169 ),
inference(rat,[],[s747,s564]) ).
cnf(s4081,plain,
( ~ spl0_46
| ~ spl0_34
| ~ spl0_137
| spl0_149 ),
inference(rat,[],[s714,s564]) ).
cnf(s4095,plain,
( ~ spl0_21
| ~ spl0_141
| ~ spl0_46 ),
inference(rat,[],[s661,s619]) ).
cnf(s4101,plain,
( ~ spl0_46
| ~ spl0_34
| ~ spl0_132 ),
inference(rat,[],[s591,s3570,s564]) ).
cnf(s4110,plain,
( ~ spl0_17
| ~ spl0_4
| spl0_137 ),
inference(rat,[],[s3206,s3570]) ).
cnf(s4112,plain,
( spl0_133
| spl0_134 ),
inference(rat,[],[s572,s564]) ).
cnf(s4113,plain,
( spl0_131
| spl0_132 ),
inference(rat,[],[s571,s564]) ).
cnf(s4140,plain,
( ~ spl0_169
| ~ spl0_399
| ~ spl0_178
| ~ spl0_47
| ~ spl0_283 ),
inference(rat,[],[s3428,s3570]) ).
cnf(s4142,plain,
( ~ spl0_34
| ~ spl0_142
| ~ spl0_131 ),
inference(rat,[],[s3186,s3401,s2822,s4031,s4112,s3723]) ).
cnf(s4143,plain,
( spl0_141
| ~ spl0_129
| ~ spl0_134
| ~ spl0_131 ),
inference(rat,[],[s865,s1078,s3042,s3754]) ).
cnf(s4144,plain,
( spl0_20
| ~ spl0_142
| ~ spl0_131
| spl0_137 ),
inference(rat,[],[s63,s784,s3592,s3764,s8,s2364,s4143,s694,s1749,s1047,s3439,s29,s3599,s3579,s4112,s3723,s4142]) ).
cnf(s4145,plain,
( ~ spl0_142
| ~ spl0_131
| spl0_137 ),
inference(rat,[],[s3186,s3401,s2727,s3748,s4144,s4112,s3723]) ).
cnf(s4148,plain,
( ~ spl0_34
| ~ spl0_135
| ~ spl0_131 ),
inference(rat,[],[s3186,s3401,s1936,s4031,s4112,s3805]) ).
cnf(s4149,plain,
( ~ spl0_131
| spl0_137 ),
inference(rat,[],[s784,s1029,s63,s39,s4148,s3592,s8,s3685,s1006,s697,s2824,s3600,s1516,s695,s4145,s29,s3579,s756]) ).
cnf(s4150,plain,
( ~ spl0_126
| ~ spl0_173
| ~ spl0_14
| spl0_20
| ~ spl0_142
| spl0_137 ),
inference(rat,[],[s4064,s1036,s1828,s3901,s3787,s1304,s2495,s781,s1284,s3051,s4,s1947,s953,s434,s1034,s2,s8,s3325,s1020,s3685,s756,s4112,s3723,s3980,s3455,s4113,s4149,s1796,s3754,s1946,s45,s3475,s25]) ).
cnf(s4151,plain,
( ~ spl0_4
| ~ spl0_127
| ~ spl0_142 ),
inference(rat,[],[s4,s753,s434,s694,s3298,s3049,s4005,s4112,s3723]) ).
cnf(s4153,plain,
( spl0_283
| ~ spl0_292
| spl0_147
| ~ spl0_157
| ~ spl0_12
| spl0_126
| ~ spl0_149
| ~ spl0_35
| ~ spl0_314
| ~ spl0_153 ),
inference(rat,[],[s3786,s2417,s2441,s2988,s2650,s2253,s2393,s3611]) ).
cnf(s4154,plain,
( ~ spl0_283
| ~ spl0_127
| ~ spl0_397
| ~ spl0_314
| ~ spl0_134 ),
inference(rat,[],[s2330,s2945,s1718,s2495,s3784,s1822]) ).
cnf(s4155,plain,
( spl0_135
| spl0_283
| ~ spl0_12
| spl0_126
| ~ spl0_149
| ~ spl0_35
| ~ spl0_314
| ~ spl0_153 ),
inference(rat,[],[s2365,s1305,s3583,s2988,s4153,s2253,s773,s697]) ).
cnf(s4156,plain,
( ~ spl0_149
| ~ spl0_14
| spl0_20
| ~ spl0_142
| spl0_137 ),
inference(rat,[],[s3786,s2859,s2227,s1305,s694,s2365,s753,s1284,s3583,s4,s2650,s434,s2442,s1206,s1034,s2022,s4155,s2393,s2551,s4154,s8,s4151,s3611,s4150,s760,s2870,s756,s4112,s3723,s3980,s3455,s4113,s4149,s771,s25,s1796,s3754,s1946]) ).
cnf(s4157,plain,
( ~ spl0_14
| spl0_20
| ~ spl0_142
| spl0_137 ),
inference(rat,[],[s3978,s3653,s2090,s3051,s1440,s1305,s781,s1947,s3609,s2988,s8,s3583,s2253,s4151,s2649,s697,s3611,s2449,s2551,s1397,s1036,s4150,s4140,s1735,s760,s4075,s2822,s4031,s1922,s1114,s3796,s4032,s4156,s45,s3475,s1796,s756,s4112,s3723,s3980,s3455,s4113,s4149,s25]) ).
cnf(s4158,plain,
( ~ spl0_4
| ~ spl0_142 ),
inference(rat,[],[s786,s4151,s3685]) ).
cnf(s4159,plain,
( spl0_20
| ~ spl0_142
| spl0_137 ),
inference(rat,[],[s1828,s45,s760,s4063,s4101,s2822,s3787,s3903,s3917,s1304,s4054,s1284,s3754,s953,s1034,s4,s2472,s3325,s1020,s1079,s3484,s3764,s29,s4157,s3676,s3980,s3455,s4113,s4149,s8,s2,s4158]) ).
cnf(s4160,plain,
( ~ spl0_142
| spl0_137 ),
inference(rat,[],[s1173,s1677,s876,s4075,s4032,s1392,s3748,s3671,s4159,s4112,s3723]) ).
cnf(s4161,plain,
( ~ spl0_314
| ~ spl0_4
| ~ spl0_134
| ~ spl0_397
| ~ spl0_151 ),
inference(rat,[],[s3674,s4154,s697,s2022,s2981,s1173,s877,s3611,s3685,s694,s4005]) ).
cnf(s4162,plain,
( ~ spl0_4
| ~ spl0_134
| ~ spl0_397
| ~ spl0_35
| spl0_137 ),
inference(rat,[],[s2859,s2675,s1718,s1264,s2174,s1880,s3980,s4161,s3280,s700,s3331,s2022,s2981,s1173,s877,s694,s3611,s4005,s3685,s4113,s4149,s695,s4160,s771]) ).
cnf(s4163,plain,
( ~ spl0_126
| spl0_4
| spl0_137 ),
inference(rat,[],[s953,s3817,s2472,s3325,s1020,s4113,s4149,s4160,s8,s2]) ).
cnf(s4164,plain,
( ~ spl0_313
| spl0_4
| ~ spl0_14
| spl0_20
| spl0_137 ),
inference(rat,[],[s3482,s2335,s2393,s2650,s2441,s1718,s1312,s1880,s2628,s756,s4113,s4149,s4160,s8,s3611,s4163]) ).
cnf(s4165,plain,
( ~ spl0_134
| ~ spl0_14
| spl0_20
| spl0_137 ),
inference(rat,[],[s953,s1206,s3819,s2022,s1072,s697,s3674,s4154,s3980,s4164,s3611,s4163,s2,s8,s4162,s695,s4160,s25,s1796]) ).
cnf(s4166,plain,
( ~ spl0_313
| ~ spl0_4
| ~ spl0_14
| spl0_20
| spl0_137 ),
inference(rat,[],[s3154,s1303,s3308,s2496,s2169,s1440,s3672,s1397,s3482,s1718,s1312,s1880,s2628,s4113,s4149,s4160,s3805,s4112,s4165,s694,s4005]) ).
cnf(s4167,plain,
( ~ spl0_314
| ~ spl0_14
| spl0_20
| spl0_137 ),
inference(rat,[],[s2487,s2424,s3978,s1440,s1994,s3609,s3583,s3482,s1718,s3784,s3674,s4113,s4149,s695,s4160,s697,s3805,s4112,s4165]) ).
cnf(s4168,plain,
( ~ spl0_313
| ~ spl0_14
| spl0_137
| spl0_20 ),
inference(rat,[],[s4166,s4164]) ).
cnf(s4169,plain,
( ~ spl0_14
| spl0_20
| spl0_137 ),
inference(rat,[],[s4168,s3980,s4167]) ).
cnf(s4170,plain,
( ~ spl0_149
| ~ spl0_254
| ~ spl0_226
| ~ spl0_208
| spl0_168
| spl0_135
| spl0_190
| spl0_137 ),
inference(rat,[],[s2610,s3616,s1167,s2444,s4040,s4009,s2454,s2870,s4113,s4149,s4160,s4075]) ).
cnf(s4171,plain,
( ~ spl0_4
| spl0_20
| spl0_137 ),
inference(rat,[],[s3674,s3980,s4140,s3362,s1922,s3796,s4032,s4170,s45,s3254,s1448,s944,s2865,s1688,s2467,s2624,s1177,s4075,s4041,s4030,s4034,s697,s4050,s3805,s2906,s877,s4112,s10,s694,s3611,s4162,s4110,s4005,s3685,s1694,s756,s4113,s4149,s695,s3690,s4160,s771,s25,s29,s4169]) ).
cnf(s4172,plain,
( spl0_20
| spl0_137 ),
inference(rat,[],[s3764,s4163,s4171,s4169]) ).
cnf(s4173,plain,
( ~ spl0_134
| ~ spl0_4
| ~ spl0_14
| spl0_137 ),
inference(rat,[],[s738,s3300,s1075,s3980,s1699,s4161,s4113,s4149,s695,s4160,s4032,s3671,s1796,s17,s694,s4005,s777,s21,s54,s3280,s28,s3748,s4172]) ).
cnf(s4174,plain,
( ~ spl0_4
| ~ spl0_14
| spl0_137 ),
inference(rat,[],[s2388,s2659,s1718,s1312,s1880,s2628,s3980,s3674,s697,s3805,s4112,s4173,s4140,s45,s47,s694,s54,s4005,s4113,s4149,s695,s4160,s1670,s4032,s2622,s3280,s28,s3671,s4075,s3748,s4172]) ).
cnf(s4175,plain,
( ~ spl0_134
| ~ spl0_14
| spl0_137 ),
inference(rat,[],[s1873,s1718,s1264,s1880,s3980,s3674,s4140,s45,s47,s772,s3051,s781,s697,s1671,s1677,s1173,s756,s4113,s4149,s695,s4160,s1670,s4032,s876,s4075,s3748,s3671,s3280,s28,s4172,s1947,s8,s4174]) ).
cnf(s4176,plain,
( ~ spl0_133
| spl0_137 ),
inference(rat,[],[s2759,s4040,s3623,s3673,s3612,s1015,s1438,s1672,s1383,s2674,s1177,s4041,s4034,s4050,s3805,s4160,s1670,s4032,s876,s4075,s3748,s3671,s4172]) ).
cnf(s4177,plain,
spl0_137,
inference(rat,[],[s1873,s1718,s1264,s1880,s45,s3980,s3268,s4161,s54,s1694,s3484,s1671,s3599,s1677,s4175,s1173,s4112,s4176,s876,s4075,s4032,s3748,s3671,s1670,s4172,s695,s4160,s4113,s4149,s2117]) ).
cnf(s4178,plain,
( spl0_34
| spl0_283
| ~ spl0_313
| spl0_142
| spl0_135
| spl0_20 ),
inference(rat,[],[s2209,s3815,s4009]) ).
cnf(s4179,plain,
( ~ spl0_34
| ~ spl0_454
| ~ spl0_14 ),
inference(rat,[],[s32,s2622,s4075,s422,s783,s4031,s4177]) ).
cnf(s4182,plain,
( ~ spl0_283
| ~ spl0_292
| ~ spl0_14 ),
inference(rat,[],[s3308,s3582,s1718,s2495,s2387,s3784,s1796,s694,s1092,s4177]) ).
cnf(s4184,plain,
( ~ spl0_142
| ~ spl0_313
| ~ spl0_131
| spl0_20
| ~ spl0_14 ),
inference(rat,[],[s3574,s1946]) ).
cnf(s4185,plain,
( ~ spl0_283
| ~ spl0_14 ),
inference(rat,[],[s3960,s4182,s1907,s4177]) ).
cnf(s4186,plain,
( ~ spl0_142
| ~ spl0_313
| spl0_20
| ~ spl0_14 ),
inference(rat,[],[s4113,s4184,s789,s4177]) ).
cnf(s4187,plain,
( ~ spl0_131
| ~ spl0_313
| spl0_20
| ~ spl0_14 ),
inference(rat,[],[s3960,s3513,s2132,s4112,s2565,s1732,s3042,s777,s2621,s865,s3280,s21,s4179,s3511,s422,s1019,s4031,s4178,s3518,s694,s1092,s4185,s4186,s4177]) ).
cnf(s4188,plain,
( ~ spl0_313
| spl0_20
| ~ spl0_14 ),
inference(rat,[],[s2388,s2659,s4179,s1718,s1312,s4178,s1880,s2628,s1061,s4113,s4187,s4186,s694,s1092,s4185,s4177]) ).
cnf(s4189,plain,
( ~ spl0_142
| ~ spl0_14 ),
inference(rat,[],[s4143,s4113,s4112,s1946,s789,s3723,s694,s1092,s4177]) ).
cnf(s4190,plain,
( ~ spl0_135
| ~ spl0_14 ),
inference(rat,[],[s4113,s3518,s1061,s4177]) ).
cnf(s4191,plain,
( ~ spl0_131
| ~ spl0_14 ),
inference(rat,[],[s3960,s2649,s3513,s2448,s2675,s4112,s1859,s1732,s3042,s2621,s865,s694,s1092,s3611,s2181,s1796,s873,s2622,s3280,s28,s3671,s4075,s3748,s4188,s3980,s3674,s697,s4190,s4185,s695,s4189,s4177]) ).
cnf(s4192,plain,
~ spl0_14,
inference(rat,[],[s2388,s2659,s1718,s1312,s1880,s2628,s4113,s4191,s2622,s3280,s4075,s28,s3748,s3671,s4188,s3980,s3674,s697,s4190,s695,s4189,s4185,s694,s1092,s4177]) ).
cnf(s4193,plain,
spl0_16,
inference(rat,[],[s29,s4192]) ).
cnf(s4194,plain,
spl0_15,
inference(rat,[],[s7,s4192]) ).
cnf(s4195,plain,
spl0_38,
inference(rat,[],[s3599,s4192]) ).
cnf(s4198,plain,
( ~ spl0_142
| ~ spl0_313
| spl0_20
| ~ spl0_131 ),
inference(rat,[],[s63,s3755,s3592,s3815,s8,s4142,s1995,s4158,s4192,s4193]) ).
cnf(s4199,plain,
( ~ spl0_4
| ~ spl0_34
| ~ spl0_134
| ~ spl0_131 ),
inference(rat,[],[s32,s2622,s700,s2621,s2981,s1732,s694,s3611,s4005,s3685,s1173,s1842,s1010,s4075,s4031,s4032,s45,s4081,s783,s4177]) ).
cnf(s4200,plain,
( spl0_135
| ~ spl0_134
| spl0_283
| ~ spl0_313
| spl0_20
| ~ spl0_131 ),
inference(rat,[],[s4041,s1099,s1183,s882,s1241,s716,s4027,s3280,s764,s701,s3592,s1048,s8,s4199,s1873,s1264,s1010,s45,s4032,s4075,s4081,s783,s4031,s4178,s4198,s4177,s4193,s4192]) ).
cnf(s4201,plain,
( ~ spl0_134
| spl0_283
| ~ spl0_313
| spl0_20
| ~ spl0_131 ),
inference(rat,[],[s2981,s3611,s694,s1057,s3685,s1749,s8,s1081,s3592,s4063,s760,s1234,s1264,s2209,s45,s3675,s3815,s53,s4008,s39,s4148,s4200,s1173,s1842,s25,s1262,s4193,s4192]) ).
cnf(s4202,plain,
( spl0_283
| ~ spl0_313
| spl0_20
| ~ spl0_131 ),
inference(rat,[],[s3978,s2743,s2141,s1087,s3589,s3280,s2153,s2675,s3582,s2132,s3598,s1859,s2565,s3754,s685,s694,s3611,s4005,s3685,s8,s2649,s783,s2253,s2875,s3592,s1312,s4178,s697,s1878,s3513,s3805,s4112,s4201,s2449,s25,s4198,s4194,s4177,s4193]) ).
cnf(s4203,plain,
( ~ spl0_4
| ~ spl0_134
| ~ spl0_283
| ~ spl0_313
| ~ spl0_131 ),
inference(rat,[],[s2565,s3308,s4143,s3582,s694,s2495,s4005,s1694,s1718,s3784,s1312,s1907,s4177]) ).
cnf(s4204,plain,
( ~ spl0_134
| ~ spl0_283
| ~ spl0_313
| ~ spl0_131 ),
inference(rat,[],[s4032,s783,s2519,s63,s21,s762,s2209,s760,s3401,s3564,s694,s2937,s3308,s1811,s1297,s3582,s2589,s2174,s764,s3592,s8,s4203,s3978,s1353,s1173,s2335,s1840,s1718,s3784,s1312,s1907,s4177,s4193]) ).
cnf(s4205,plain,
( ~ spl0_4
| ~ spl0_283
| ~ spl0_313
| ~ spl0_131 ),
inference(rat,[],[s2565,s3754,s3308,s3582,s685,s694,s2495,s4005,s1694,s1718,s3784,s1312,s1907,s2875,s697,s2335,s4194,s4177]) ).
cnf(s4206,plain,
( ~ spl0_313
| spl0_20
| ~ spl0_131 ),
inference(rat,[],[s2565,s3754,s3308,s685,s694,s3582,s793,s1860,s764,s3592,s8,s4205,s4112,s4204,s2875,s1312,s697,s1718,s1907,s2335,s3784,s4202,s4193,s4177,s4194]) ).
cnf(s4207,plain,
( ~ spl0_4
| spl0_283
| ~ spl0_314 ),
inference(rat,[],[s3805,s4112,s697,s4161,s3674,s695,s4158,s1694]) ).
cnf(s4208,plain,
( spl0_135
| spl0_283
| spl0_20
| ~ spl0_131 ),
inference(rat,[],[s63,s3755,s4142,s2988,s695,s2253,s3674,s773,s697,s25,s3592,s8,s4207,s3980,s4206,s4192,s4193]) ).
cnf(s4209,plain,
( spl0_283
| spl0_20
| ~ spl0_131 ),
inference(rat,[],[s4010,s63,s4148,s4208,s3592,s3830,s8,s4207,s3655,s3980,s4206,s4193,s4192]) ).
cnf(s4210,plain,
( ~ spl0_4
| spl0_20
| ~ spl0_131 ),
inference(rat,[],[s4008,s2234,s1934,s1346,s2813,s2793,s4075,s1440,s4030,s2496,s4050,s1297,s4112,s3308,s4154,s3582,s2338,s694,s3611,s2495,s4158,s4005,s3685,s1694,s25,s3980,s4206,s1718,s3784,s1312,s1907,s4209,s4192,s4177]) ).
cnf(s4211,plain,
( ~ spl0_134
| spl0_135
| spl0_20
| ~ spl0_131 ),
inference(rat,[],[s945,s4140,s783,s1922,s45,s63,s634,s762,s760,s3401,s4075,s3564,s694,s3308,s3582,s1297,s1303,s2589,s3978,s1353,s1173,s1840,s1718,s3784,s1312,s1907,s4209,s764,s3592,s8,s4210,s4177,s4193]) ).
cnf(s4212,plain,
( ~ spl0_34
| ~ spl0_47
| ~ spl0_169
| ~ spl0_283 ),
inference(rat,[],[s945,s4140,s783,s1922,s4177]) ).
cnf(s4213,plain,
( spl0_135
| spl0_20
| ~ spl0_131 ),
inference(rat,[],[s3981,s63,s4212,s45,s4095,s3280,s716,s3754,s882,s4075,s685,s4030,s793,s4050,s4069,s3723,s4112,s4211,s2875,s764,s697,s4209,s1048,s3592,s8,s4210,s4194,s4193,s4192]) ).
cnf(s4214,plain,
( spl0_20
| ~ spl0_131 ),
inference(rat,[],[s1355,s3978,s1234,s1353,s3675,s1173,s39,s4112,s4148,s3805,s4213,s3592,s8,s4210,s1840,s1312,s1718,s1907,s3784,s4209,s25,s4193,s4177]) ).
cnf(s4215,plain,
( ~ spl0_4
| ~ spl0_313
| ~ spl0_131 ),
inference(rat,[],[s3960,s3513,s2132,s4112,s2565,s1732,s1926,s2621,s777,s2622,s3280,s21,s694,s27,s54,s4005,s3671,s4075,s3748,s4214,s4177]) ).
cnf(s4216,plain,
( ~ spl0_313
| spl0_283
| ~ spl0_131 ),
inference(rat,[],[s2444,s4021,s3615,s2598,s4041,s970,s4040,s3589,s2671,s3177,s1905,s881,s1873,s1196,s1199,s3010,s45,s1241,s3280,s4081,s4027,s700,s63,s21,s764,s762,s1264,s1671,s1392,s760,s1677,s3401,s1173,s4112,s1878,s4,s3592,s1079,s8,s4215,s2600,s1670,s4032,s876,s4075,s3748,s3671,s4214,s4177,s4193]) ).
cnf(s4217,plain,
( ~ spl0_145
| ~ spl0_314
| spl0_283
| ~ spl0_20 ),
inference(rat,[],[s3674,s697,s695,s1671,s1392,s1670]) ).
cnf(s4218,plain,
( spl0_283
| ~ spl0_131 ),
inference(rat,[],[s3674,s697,s695,s3805,s2727,s4112,s3558,s1173,s2333,s1677,s4063,s4217,s3980,s4216,s4032,s876,s4075,s3748,s3671,s4214]) ).
cnf(s4219,plain,
~ spl0_131,
inference(rat,[],[s462,s953,s63,s4054,s3592,s3863,s2,s8,s2727,s532,s3558,s713,s2334,s45,s3662,s1381,s1312,s4140,s1876,s1907,s4218,s4075,s4032,s3748,s3671,s1670,s4214,s4192,s4193,s4177]) ).
cnf(s4220,plain,
spl0_132,
inference(rat,[],[s4113,s4219]) ).
cnf(s4222,plain,
~ spl0_71,
inference(rat,[],[s1855,s4177,s4220]) ).
cnf(s4223,plain,
~ spl0_142,
inference(rat,[],[s789,s4177,s4220]) ).
cnf(s4224,plain,
~ spl0_135,
inference(rat,[],[s1061,s4177,s4220]) ).
cnf(s4225,plain,
~ spl0_149,
inference(rat,[],[s3520,s4177,s4220]) ).
cnf(s4227,plain,
spl0_151,
inference(rat,[],[s695,s4223]) ).
cnf(s4229,plain,
spl0_157,
inference(rat,[],[s697,s4224]) ).
cnf(s4230,plain,
spl0_178,
inference(rat,[],[s4032,s4225]) ).
cnf(s4231,plain,
( spl0_283
| spl0_20 ),
inference(rat,[],[s3308,s3582,s2234,s3098,s3280,s2622,s2659,s2388,s694,s4005,s8,s3592,s1878,s4112,s1010,s1264,s1305,s1873,s45,s4075,s4101,s4031,s1718,s1312,s4178,s1880,s2628,s3980,s3674,s4225,s4193,s4177,s4230,s4220,s4223,s4224,s4229,s4227]) ).
cnf(s4232,plain,
( ~ spl0_4
| ~ spl0_277
| ~ spl0_283 ),
inference(rat,[],[s1297,s2589,s3308,s2981,s3582,s694,s3611,s2495,s4005,s3685,s1694,s3978,s1353,s1312,s1907,s1718,s3784,s4177]) ).
cnf(s4233,plain,
( ~ spl0_277
| ~ spl0_313
| ~ spl0_283 ),
inference(rat,[],[s3281,s2519,s772,s1264,s1677,s4075,s3564,s694,s3308,s2650,s1297,s3582,s2441,s2589,s2174,s3611,s764,s1906,s3592,s8,s4232,s3978,s1353,s1718,s3784,s1312,s1907,s4230,s4177,s4224,s4220,s4193]) ).
cnf(s4234,plain,
( ~ spl0_4
| ~ spl0_200
| ~ spl0_283 ),
inference(rat,[],[s1305,s2234,s2519,s3280,s21,s2622,s944,s2650,s2659,s2624,s3308,s2441,s3582,s2388,s694,s3611,s2495,s4005,s3685,s1694,s2674,s1177,s4041,s4034,s1840,s1718,s3784,s1312,s1907,s4075,s4030,s4230,s4225,s4177]) ).
cnf(s4235,plain,
( ~ spl0_313
| spl0_20 ),
inference(rat,[],[s1305,s2519,s2234,s21,s3280,s944,s716,s2624,s3308,s2650,s882,s694,s2441,s3582,s793,s3611,s1860,s764,s1906,s3592,s1048,s8,s4234,s2674,s1177,s4075,s4041,s4030,s4034,s4050,s4112,s1173,s4233,s1840,s1718,s3784,s1312,s1907,s4231,s4230,s4177,s4224,s4220,s4193,s4192,s4223]) ).
cnf(s4236,plain,
( ~ spl0_134
| spl0_20 ),
inference(rat,[],[s2945,s1303,s2330,s1822,s2589,s3611,s764,s1906,s3592,s8,s3978,s4232,s1353,s1173,s1840,s1718,s3784,s1312,s1907,s4231,s3980,s4235,s4224,s4220,s4193,s4177]) ).
cnf(s4237,plain,
spl0_20,
inference(rat,[],[s1876,s1922,s2519,s63,s21,s944,s2624,s2650,s694,s2441,s793,s3611,s764,s1906,s2674,s3592,s1177,s8,s4075,s4041,s4234,s4030,s4034,s4050,s4112,s4236,s1840,s1312,s1718,s1907,s3784,s4231,s4230,s4224,s4220,s4193,s4223,s4177]) ).
cnf(s4238,plain,
spl0_399,
inference(rat,[],[s1670,s4237]) ).
cnf(s4239,plain,
~ spl0_168,
inference(rat,[],[s3748,s4237]) ).
cnf(s4241,plain,
spl0_169,
inference(rat,[],[s4075,s4239]) ).
cnf(s4242,plain,
~ spl0_190,
inference(rat,[],[s876,s4225,s4241]) ).
cnf(s4243,plain,
( spl0_299
| spl0_283 ),
inference(rat,[],[s713,s39,s45,s2243,s1873,s2421,s1718,s1880,s2401,s1312,s2628,s3980,s3674,s1397,s4177,s4225,s4230,s4241,s4220,s4227,s4229]) ).
cnf(s4244,plain,
spl0_283,
inference(rat,[],[s2622,s2659,s3280,s2388,s694,s27,s4005,s8,s3592,s1878,s4112,s1173,s1677,s1264,s4243,s1718,s1312,s1880,s2628,s3980,s3674,s4225,s4241,s4237,s4193,s4177,s4242,s4230,s4220,s4229,s4227]) ).
cnf(s4247,plain,
~ spl0_299,
inference(rat,[],[s1876,s4238,s4244]) ).
cnf(s4248,plain,
~ spl0_47,
inference(rat,[],[s4140,s4241,s4230,s4238,s4244]) ).
cnf(s4252,plain,
~ spl0_114,
inference(rat,[],[s3662,s4247]) ).
cnf(s4253,plain,
spl0_46,
inference(rat,[],[s45,s4248]) ).
cnf(s4258,plain,
~ spl0_34,
inference(rat,[],[s713,s4225,s4177,s4253]) ).
cnf(s4259,plain,
spl0_30,
inference(rat,[],[s3268,s4222,s4195,s4237,s4253]) ).
cnf(s4265,plain,
~ spl0_4,
inference(rat,[],[s532,s4253,s4258]) ).
cnf(s4266,plain,
spl0_171,
inference(rat,[],[s4009,s4223,s4224,s4258]) ).
cnf(s4270,plain,
~ spl0_13,
inference(rat,[],[s462,s4252,s4253,s4259]) ).
cnf(s4274,plain,
~ spl0_11,
inference(rat,[],[s1453,s4266,s4223,s4259]) ).
cnf(s4281,plain,
spl0_12,
inference(rat,[],[s8,s4265]) ).
cnf(s4282,plain,
spl0_3,
inference(rat,[],[s2,s4265]) ).
cnf(s4286,plain,
$false,
inference(rat,[],[s953,s4282,s4281,s4270,s4274]) ).
thf(f35845,plain,
$false,
inference(avatar_sat_refutation,[],[s4286]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA167^1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n005.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 19:06:31 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running higher-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.36 % (2076171)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.36 % (2076177)lrs+10_16_si=on:nwc=1.5:random_seed=2040382086:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.36 % (2076177)Instruction limit reached!
% 0.22/0.36 % (2076177)------------------------------
% 0.22/0.36 % (2076177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (2076177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (2076177)CaDiCaL version: 2.1.3
% 0.22/0.36 % (2076177)Termination reason: Instruction limit
% 0.22/0.36 % (2076177)Termination phase: Saturation
% 0.22/0.36 % (2076177)Time elapsed: 0.006 s
% 0.22/0.36 % (2076177)Peak memory usage: 12 MB
% 0.22/0.36 % (2076177)Instructions burned: 20 (million)
% 0.22/0.36 % (2076178)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3985047225:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.36 % (2076176)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=126846909:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.36 % (2076178)Instruction limit reached!
% 0.22/0.36 % (2076178)------------------------------
% 0.22/0.36 % (2076178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (2076178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (2076178)CaDiCaL version: 2.1.3
% 0.22/0.36 % (2076178)Termination reason: Instruction limit
% 0.22/0.36 % (2076178)Termination phase: Saturation
% 0.22/0.36 % (2076178)Time elapsed: 0.002 s
% 0.22/0.36 % (2076178)Peak memory usage: 12 MB
% 0.22/0.36 % (2076178)Instructions burned: 3 (million)
% 0.22/0.36 % (2076179)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=3870022073: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)
% 0.22/0.36 % (2076184)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=819797446:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.36 % (2076184)Instruction limit reached!
% 0.22/0.36 % (2076184)------------------------------
% 0.22/0.36 % (2076184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (2076184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (2076184)CaDiCaL version: 2.1.3
% 0.22/0.36 % (2076184)Termination reason: Instruction limit
% 0.22/0.36 % (2076184)Termination phase: Saturation
% 0.22/0.36 % (2076184)Time elapsed: 0.001 s
% 0.22/0.36 % (2076184)Peak memory usage: 12 MB
% 0.22/0.36 % (2076184)Instructions burned: 2 (million)
% 0.22/0.36 % (2076187)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1992018006:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.22/0.36 % (2076187)Instruction limit reached!
% 0.22/0.36 % (2076187)------------------------------
% 0.22/0.36 % (2076187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.36 % (2076187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.36 % (2076187)CaDiCaL version: 2.1.3
% 0.22/0.36 % (2076187)Termination reason: Instruction limit
% 0.22/0.36 % (2076187)Termination phase: Saturation
% 0.22/0.36 % (2076187)Time elapsed: 0.004 s
% 0.22/0.36 % (2076187)Peak memory usage: 11 MB
% 0.22/0.36 % (2076187)Instructions burned: 6 (million)
% 0.22/0.36 % (2076190)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.22/0.36 % (2076190)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2593971713:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.22/0.36 % (2076182)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.36 % (2076182)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
% 0.22/0.36 % (2076190)Instruction limit reached!
% 0.22/0.36 % (2076190)------------------------------
% 0.22/0.36 % (2076190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.39 % (2076190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.39 % (2076190)CaDiCaL version: 2.1.3
% 0.93/0.39 % (2076190)Termination reason: Instruction limit
% 0.93/0.39 % (2076190)Termination phase: Saturation
% 0.93/0.39 % (2076190)Time elapsed: 0.005 s
% 0.93/0.39 % (2076190)Peak memory usage: 12 MB
% 0.93/0.39 % (2076190)Instructions burned: 9 (million)
% 0.93/0.39 % (2076176)Instruction limit reached!
% 0.93/0.39 % (2076176)------------------------------
% 0.93/0.39 % (2076176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.39 % (2076176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.39 % (2076176)CaDiCaL version: 2.1.3
% 0.93/0.39 % (2076176)Termination reason: Instruction limit
% 0.93/0.39 % (2076176)Termination phase: Saturation
% 0.93/0.39 % (2076176)Time elapsed: 0.038 s
% 0.93/0.39 % (2076176)Peak memory usage: 12 MB
% 0.93/0.39 % (2076176)Instructions burned: 87 (million)
% 0.93/0.39 % (2076181)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3380472990:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.93/0.39 % (2076180)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=802886641:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.93/0.39 % (2076182)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=1684254563:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.93/0.39 % (2076192)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3033534449:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.93/0.39 % (2076194)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
% 0.93/0.39 % (2076194)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.93/0.39 % (2076194)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2609974842:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.93/0.39 % (2076192)Instruction limit reached!
% 0.93/0.39 % (2076192)------------------------------
% 0.93/0.39 % (2076192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.39 % (2076192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.39 % (2076192)CaDiCaL version: 2.1.3
% 0.93/0.39 % (2076192)Termination reason: Instruction limit
% 0.93/0.39 % (2076192)Termination phase: Saturation
% 0.93/0.39 % (2076192)Time elapsed: 0.008 s
% 0.93/0.39 % (2076192)Peak memory usage: 12 MB
% 0.93/0.39 % (2076192)Instructions burned: 14 (million)
% 0.93/0.39 % (2076180)Instruction limit reached!
% 0.93/0.39 % (2076180)------------------------------
% 0.93/0.39 % (2076180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.39 % (2076180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.39 % (2076180)CaDiCaL version: 2.1.3
% 0.93/0.39 % (2076180)Termination reason: Instruction limit
% 0.93/0.39 % (2076180)Termination phase: Saturation
% 0.93/0.39 % (2076180)Time elapsed: 0.015 s
% 0.93/0.39 % (2076180)Peak memory usage: 12 MB
% 0.93/0.39 % (2076180)Instructions burned: 24 (million)
% 0.93/0.39 % (2076194)Instruction limit reached!
% 0.93/0.39 % (2076194)------------------------------
% 0.93/0.39 % (2076194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.39 % (2076194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.39 % (2076194)CaDiCaL version: 2.1.3
% 0.93/0.39 % (2076194)Termination reason: Instruction limit
% 0.93/0.39 % (2076194)Termination phase: Saturation
% 0.93/0.39 % (2076194)Time elapsed: 0.007 s
% 0.93/0.39 % (2076194)Peak memory usage: 12 MB
% 0.93/0.39 % (2076194)Instructions burned: 29 (million)
% 0.93/0.39 % (2076195)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=1112971546:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.93/0.39 % (2076203)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3280887768:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.93/0.41 % (2076203)Refutation not found, incomplete strategy
% 0.93/0.41 % (2076203)------------------------------
% 0.93/0.41 % (2076203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (2076203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (2076203)CaDiCaL version: 2.1.3
% 0.93/0.41 % (2076203)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.41 % (2076203)Time elapsed: 0.0000 s
% 0.93/0.41 % (2076203)Peak memory usage: 11 MB
% 0.93/0.41 % (2076203)------------------------------
% 0.93/0.41 % (2076203)------------------------------
% 0.93/0.41 % (2076202)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.93/0.41 % (2076201)lrs+10_1_si=on:cs=on:random_seed=1451001679:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.93/0.41 % (2076202)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=2734825705:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.93/0.41 % (2076202)Instruction limit reached!
% 0.93/0.41 % (2076202)------------------------------
% 0.93/0.41 % (2076202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (2076202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (2076202)CaDiCaL version: 2.1.3
% 0.93/0.41 % (2076202)Termination reason: Instruction limit
% 0.93/0.41 % (2076202)Termination phase: Saturation
% 0.93/0.41 % (2076202)Time elapsed: 0.003 s
% 0.93/0.41 % (2076202)Peak memory usage: 11 MB
% 0.93/0.41 % (2076201)Instruction limit reached!
% 0.93/0.41 % (2076201)------------------------------
% 0.93/0.41 % (2076201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (2076202)Instructions burned: 5 (million)
% 0.93/0.41 % (2076201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (2076201)CaDiCaL version: 2.1.3
% 0.93/0.41 % (2076201)Termination reason: Instruction limit
% 0.93/0.41 % (2076201)Termination phase: Saturation
% 0.93/0.41 % (2076201)Time elapsed: 0.005 s
% 0.93/0.41 % (2076201)Peak memory usage: 12 MB
% 0.93/0.41 % (2076201)Instructions burned: 8 (million)
% 0.93/0.41 % (2076206)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=309333804:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.93/0.41 % (2076206)Refutation not found, incomplete strategy
% 0.93/0.41 % (2076206)------------------------------
% 0.93/0.41 % (2076206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (2076206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (2076206)CaDiCaL version: 2.1.3
% 0.93/0.41 % (2076206)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.41 % (2076206)Time elapsed: 0.0000 s
% 0.93/0.41 % (2076206)Peak memory usage: 11 MB
% 0.93/0.41 % (2076206)------------------------------
% 0.93/0.41 % (2076206)------------------------------
% 0.93/0.41 % (2076212)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3125757674:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.93/0.41 % (2076212)Refutation not found, incomplete strategy
% 0.93/0.41 % (2076212)------------------------------
% 0.93/0.41 % (2076212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.41 % (2076212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.41 % (2076212)CaDiCaL version: 2.1.3
% 0.93/0.41 % (2076212)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.41 % (2076212)Time elapsed: 0.0000 s
% 0.93/0.41 % (2076212)Peak memory usage: 11 MB
% 0.93/0.41 % (2076212)------------------------------
% 0.93/0.41 % (2076212)------------------------------
% 0.93/0.41 % (2076209)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4012713724:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.93/0.41 % (2076210)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2312299544:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.93/0.41 % (2076209)Refutation not found, incomplete strategy
% 0.93/0.41 % (2076209)------------------------------
% 0.93/0.41 % (2076209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.46 % (2076209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.46 % (2076209)CaDiCaL version: 2.1.3
% 0.93/0.46 % (2076209)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.46 % (2076209)Time elapsed: 0.0000 s
% 0.93/0.46 % (2076209)Peak memory usage: 11 MB
% 0.93/0.46 % (2076209)------------------------------
% 0.93/0.46 % (2076209)------------------------------
% 0.93/0.46 % (2076214)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=388892353:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.93/0.46 % (2076210)Instruction limit reached!
% 0.93/0.46 % (2076210)------------------------------
% 0.93/0.46 % (2076210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.46 % (2076210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.46 % (2076210)CaDiCaL version: 2.1.3
% 0.93/0.46 % (2076210)Termination reason: Instruction limit
% 0.93/0.46 % (2076210)Termination phase: Saturation
% 0.93/0.46 % (2076210)Time elapsed: 0.009 s
% 0.93/0.46 % (2076210)Peak memory usage: 12 MB
% 0.93/0.46 % (2076210)Instructions burned: 15 (million)
% 0.93/0.46 % (2076214)Instruction limit reached!
% 0.93/0.46 % (2076214)------------------------------
% 0.93/0.46 % (2076214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.46 % (2076214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.46 % (2076214)CaDiCaL version: 2.1.3
% 0.93/0.46 % (2076214)Termination reason: Instruction limit
% 0.93/0.46 % (2076214)Termination phase: Saturation
% 0.93/0.46 % (2076214)Time elapsed: 0.004 s
% 0.93/0.46 % (2076214)Peak memory usage: 12 MB
% 0.93/0.46 % (2076214)Instructions burned: 14 (million)
% 0.93/0.46 % (2076181)Instruction limit reached!
% 0.93/0.46 % (2076181)------------------------------
% 0.93/0.46 % (2076181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.46 % (2076181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.46 % (2076181)CaDiCaL version: 2.1.3
% 0.93/0.46 % (2076181)Termination reason: Instruction limit
% 0.93/0.46 % (2076181)Termination phase: Saturation
% 0.93/0.46 % (2076181)Time elapsed: 0.072 s
% 0.93/0.46 % (2076181)Peak memory usage: 12 MB
% 0.93/0.46 % (2076181)Instructions burned: 75 (million)
% 0.93/0.46 % (2076195)Instruction limit reached!
% 0.93/0.46 % (2076195)------------------------------
% 0.93/0.46 % (2076195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.46 % (2076195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.46 % (2076195)CaDiCaL version: 2.1.3
% 0.93/0.46 % (2076195)Termination reason: Instruction limit
% 0.93/0.46 % (2076195)Termination phase: Saturation
% 0.93/0.46 % (2076195)Time elapsed: 0.056 s
% 0.93/0.46 % (2076195)Peak memory usage: 12 MB
% 0.93/0.46 % (2076195)Instructions burned: 87 (million)
% 0.93/0.46 % (2076220)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2376091970:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.93/0.46 % (2076182)Instruction limit reached!
% 0.93/0.46 % (2076182)------------------------------
% 0.93/0.46 % (2076182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.46 % (2076182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.46 % (2076182)CaDiCaL version: 2.1.3
% 0.93/0.46 % (2076182)Termination reason: Instruction limit
% 0.93/0.46 % (2076182)Termination phase: Saturation
% 0.93/0.46 % (2076182)Time elapsed: 0.080 s
% 0.93/0.46 % (2076182)Peak memory usage: 12 MB
% 0.93/0.46 % (2076182)Instructions burned: 157 (million)
% 0.93/0.46 % (2076220)Instruction limit reached!
% 0.93/0.46 % (2076220)------------------------------
% 0.93/0.46 % (2076220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.46 % (2076220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.46 % (2076220)CaDiCaL version: 2.1.3
% 0.93/0.46 % (2076220)Termination reason: Instruction limit
% 0.93/0.46 % (2076220)Termination phase: Saturation
% 0.93/0.46 % (2076220)Time elapsed: 0.006 s
% 0.93/0.46 % (2076220)Peak memory usage: 11 MB
% 0.93/0.46 % (2076220)Instructions burned: 26 (million)
% 0.93/0.46 % (2076219)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4209059227:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.93/0.46 % (2076217)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3207003510:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.93/0.50 % (2076222)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.93/0.50 % (2076222)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.93/0.50 % (2076217)Refutation not found, incomplete strategy
% 0.93/0.50 % (2076217)------------------------------
% 0.93/0.50 % (2076217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (2076217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (2076217)CaDiCaL version: 2.1.3
% 0.93/0.50 % (2076217)Termination reason: Refutation not found, incomplete strategy
% 0.93/0.50 % (2076217)Time elapsed: 0.001 s
% 0.93/0.50 % (2076217)Peak memory usage: 11 MB
% 0.93/0.50 % (2076222)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=2315313725:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.93/0.50 % (2076217)------------------------------
% 0.93/0.50 % (2076217)------------------------------
% 0.93/0.50 % (2076225)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=830315254:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.93/0.50 % (2076224)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.93/0.50 % (2076222)Instruction limit reached!
% 0.93/0.50 % (2076222)------------------------------
% 0.93/0.50 % (2076222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (2076222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (2076222)CaDiCaL version: 2.1.3
% 0.93/0.50 % (2076222)Termination reason: Instruction limit
% 0.93/0.50 % (2076222)Termination phase: Saturation
% 0.93/0.50 % (2076222)Time elapsed: 0.009 s
% 0.93/0.50 % (2076222)Peak memory usage: 12 MB
% 0.93/0.50 % (2076222)Instructions burned: 15 (million)
% 0.93/0.50 % (2076219)Instruction limit reached!
% 0.93/0.50 % (2076219)------------------------------
% 0.93/0.50 % (2076219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (2076219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (2076219)CaDiCaL version: 2.1.3
% 0.93/0.50 % (2076219)Termination reason: Instruction limit
% 0.93/0.50 % (2076219)Termination phase: Saturation
% 0.93/0.50 % (2076219)Time elapsed: 0.014 s
% 0.93/0.50 % (2076219)Peak memory usage: 12 MB
% 0.93/0.50 % (2076219)Instructions burned: 27 (million)
% 0.93/0.50 % (2076221)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3771810404:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.93/0.50 % (2076224)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=2676871489:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.93/0.50 % (2076225)Instruction limit reached!
% 0.93/0.50 % (2076225)------------------------------
% 0.93/0.50 % (2076225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (2076225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (2076225)CaDiCaL version: 2.1.3
% 0.93/0.50 % (2076225)Termination reason: Instruction limit
% 0.93/0.50 % (2076225)Termination phase: Saturation
% 0.93/0.50 % (2076225)Time elapsed: 0.009 s
% 0.93/0.50 % (2076225)Peak memory usage: 12 MB
% 0.93/0.50 % (2076225)Instructions burned: 33 (million)
% 0.93/0.50 % (2076224)Instruction limit reached!
% 0.93/0.50 % (2076224)------------------------------
% 0.93/0.50 % (2076224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.93/0.50 % (2076224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.93/0.50 % (2076224)CaDiCaL version: 2.1.3
% 0.93/0.50 % (2076224)Termination reason: Instruction limit
% 0.93/0.50 % (2076224)Termination phase: Saturation
% 0.93/0.50 % (2076224)Time elapsed: 0.005 s
% 0.93/0.50 % (2076224)Peak memory usage: 12 MB
% 1.72/0.55 % (2076224)Instructions burned: 8 (million)
% 1.72/0.55 % (2076235)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1999967315:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.72/0.55 % (2076231)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2099045151:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.72/0.55 % (2076232)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=103667516:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.72/0.55 % (2076236)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=346863377:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.72/0.55 % (2076229)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3120755373:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.72/0.55 % (2076231)Instruction limit reached!
% 1.72/0.55 % (2076231)------------------------------
% 1.72/0.55 % (2076231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.55 % (2076231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.55 % (2076231)CaDiCaL version: 2.1.3
% 1.72/0.55 % (2076231)Termination reason: Instruction limit
% 1.72/0.55 % (2076231)Termination phase: Saturation
% 1.72/0.55 % (2076231)Time elapsed: 0.010 s
% 1.72/0.55 % (2076231)Peak memory usage: 11 MB
% 1.72/0.55 % (2076231)Instructions burned: 24 (million)
% 1.72/0.55 % (2076232)Instruction limit reached!
% 1.72/0.55 % (2076232)------------------------------
% 1.72/0.55 % (2076232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.55 % (2076232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.55 % (2076232)CaDiCaL version: 2.1.3
% 1.72/0.55 % (2076232)Termination reason: Instruction limit
% 1.72/0.55 % (2076232)Termination phase: Saturation
% 1.72/0.55 % (2076232)Time elapsed: 0.012 s
% 1.72/0.55 % (2076232)Peak memory usage: 12 MB
% 1.72/0.55 % (2076232)Instructions burned: 22 (million)
% 1.72/0.55 % (2076221)Instruction limit reached!
% 1.72/0.55 % (2076221)------------------------------
% 1.72/0.55 % (2076221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.55 % (2076221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.55 % (2076221)CaDiCaL version: 2.1.3
% 1.72/0.55 % (2076221)Termination reason: Instruction limit
% 1.72/0.55 % (2076221)Termination phase: Saturation
% 1.72/0.55 % (2076221)Time elapsed: 0.037 s
% 1.72/0.55 % (2076221)Peak memory usage: 12 MB
% 1.72/0.55 % (2076221)Instructions burned: 61 (million)
% 1.72/0.55 % (2076229)Instruction limit reached!
% 1.72/0.55 % (2076229)------------------------------
% 1.72/0.55 % (2076229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.55 % (2076229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.55 % (2076229)CaDiCaL version: 2.1.3
% 1.72/0.55 % (2076229)Termination reason: Instruction limit
% 1.72/0.55 % (2076229)Termination phase: Saturation
% 1.72/0.55 % (2076229)Time elapsed: 0.011 s
% 1.72/0.55 % (2076229)Peak memory usage: 12 MB
% 1.72/0.55 % (2076229)Instructions burned: 8 (million)
% 1.72/0.55 % (2076242)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1555634376:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.72/0.55 % (2076242)Refutation not found, incomplete strategy
% 1.72/0.55 % (2076242)------------------------------
% 1.72/0.55 % (2076242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.55 % (2076242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.55 % (2076242)CaDiCaL version: 2.1.3
% 1.72/0.55 % (2076242)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.55 % (2076242)Time elapsed: 0.001 s
% 1.72/0.55 % (2076242)Peak memory usage: 11 MB
% 1.72/0.55 % (2076242)------------------------------
% 1.72/0.55 % (2076242)------------------------------
% 1.72/0.55 % (2076243)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3804079463:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.72/0.55 % (2076245)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2185897107:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.72/0.55 % (2076245)Refutation not found, incomplete strategy
% 1.72/0.55 % (2076245)------------------------------
% 2.50/0.67 % (2076245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.67 % (2076245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.67 % (2076245)CaDiCaL version: 2.1.3
% 2.50/0.67 % (2076245)Termination reason: Refutation not found, incomplete strategy
% 2.50/0.67 % (2076245)Time elapsed: 0.001 s
% 2.50/0.67 % (2076245)Peak memory usage: 11 MB
% 2.50/0.67 % (2076245)------------------------------
% 2.50/0.67 % (2076245)------------------------------
% 2.50/0.67 % (2076244)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.50/0.67 % (2076247)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=914065726: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)
% 2.50/0.67 % (2076247)Refutation not found, incomplete strategy
% 2.50/0.67 % (2076247)------------------------------
% 2.50/0.67 % (2076247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.67 % (2076247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.67 % (2076247)CaDiCaL version: 2.1.3
% 2.50/0.67 % (2076247)Termination reason: Refutation not found, incomplete strategy
% 2.50/0.67 % (2076247)Time elapsed: 0.001 s
% 2.50/0.67 % (2076247)Peak memory usage: 11 MB
% 2.50/0.67 % (2076247)------------------------------
% 2.50/0.67 % (2076247)------------------------------
% 2.50/0.67 % (2076244)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2179425786:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.50/0.67 % (2076250)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.50/0.67 % (2076243)Instruction limit reached!
% 2.50/0.67 % (2076243)------------------------------
% 2.50/0.67 % (2076243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.67 % (2076243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.67 % (2076243)CaDiCaL version: 2.1.3
% 2.50/0.67 % (2076243)Termination reason: Instruction limit
% 2.50/0.67 % (2076243)Termination phase: Saturation
% 2.50/0.67 % (2076243)Time elapsed: 0.019 s
% 2.50/0.67 % (2076243)Peak memory usage: 12 MB
% 2.50/0.67 % (2076243)Instructions burned: 43 (million)
% 2.50/0.67 % (2076250)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=452188494:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.50/0.67 % (2076250)Refutation not found, incomplete strategy
% 2.50/0.67 % (2076250)------------------------------
% 2.50/0.67 % (2076250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.67 % (2076250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.67 % (2076250)CaDiCaL version: 2.1.3
% 2.50/0.67 % (2076250)Termination reason: Refutation not found, incomplete strategy
% 2.50/0.67 % (2076250)Time elapsed: 0.001 s
% 2.50/0.67 % (2076250)Peak memory usage: 11 MB
% 2.50/0.67 % (2076244)Instruction limit reached!
% 2.50/0.67 % (2076244)------------------------------
% 2.50/0.67 % (2076244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.67 % (2076250)Instructions burned: 1 (million)
% 2.50/0.67 % (2076244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.67 % (2076244)CaDiCaL version: 2.1.3
% 2.50/0.67 % (2076244)Termination reason: Instruction limit
% 2.50/0.67 % (2076244)Termination phase: Saturation
% 2.50/0.67 % (2076244)Time elapsed: 0.008 s
% 2.50/0.67 % (2076244)Peak memory usage: 12 MB
% 2.50/0.67 % (2076244)Instructions burned: 7 (million)
% 2.50/0.67 % (2076250)------------------------------
% 2.50/0.67 % (2076250)------------------------------
% 2.50/0.67 % (2076252)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2545957979:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.50/0.67 % (2076254)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=2932980949:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.50/0.67 % (2076254)Refutation not found, incomplete strategy
% 2.50/0.67 % (2076254)------------------------------
% 2.50/0.69 % (2076254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2076254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2076254)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2076254)Termination reason: Refutation not found, incomplete strategy
% 2.50/0.69 % (2076254)Time elapsed: 0.002 s
% 2.50/0.69 % (2076254)Peak memory usage: 12 MB
% 2.50/0.69 % (2076254)Instructions burned: 2 (million)
% 2.50/0.69 % (2076254)------------------------------
% 2.50/0.69 % (2076254)------------------------------
% 2.50/0.69 % (2076257)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=2722419334: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)
% 2.50/0.69 % (2076252)Instruction limit reached!
% 2.50/0.69 % (2076252)------------------------------
% 2.50/0.69 % (2076252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2076252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2076252)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2076252)Termination reason: Instruction limit
% 2.50/0.69 % (2076252)Termination phase: Saturation
% 2.50/0.69 % (2076252)Time elapsed: 0.011 s
% 2.50/0.69 % (2076252)Peak memory usage: 12 MB
% 2.50/0.69 % (2076252)Instructions burned: 23 (million)
% 2.50/0.69 % (2076256)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=3073230686:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.50/0.69 % (2076260)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=2000651231:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.50/0.69 % (2076262)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3339349334:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.50/0.69 % (2076262)Refutation not found, incomplete strategy
% 2.50/0.69 % (2076262)------------------------------
% 2.50/0.69 % (2076262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2076262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2076262)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2076262)Termination reason: Refutation not found, incomplete strategy
% 2.50/0.69 % (2076262)Time elapsed: 0.001 s
% 2.50/0.69 % (2076262)Peak memory usage: 11 MB
% 2.50/0.69 % (2076262)Instructions burned: 1 (million)
% 2.50/0.69 % (2076262)------------------------------
% 2.50/0.69 % (2076262)------------------------------
% 2.50/0.69 % (2076236)Instruction limit reached!
% 2.50/0.69 % (2076236)------------------------------
% 2.50/0.69 % (2076236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2076236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2076236)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2076236)Termination reason: Instruction limit
% 2.50/0.69 % (2076236)Termination phase: Saturation
% 2.50/0.69 % (2076236)Time elapsed: 0.099 s
% 2.50/0.69 % (2076236)Peak memory usage: 12 MB
% 2.50/0.69 % (2076236)Instructions burned: 144 (million)
% 2.50/0.69 % (2076267)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.50/0.69 % (2076266)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2785657730:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.50/0.69 % (2076260)Instruction limit reached!
% 2.50/0.69 % (2076260)------------------------------
% 2.50/0.69 % (2076260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.69 % (2076260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.69 % (2076260)CaDiCaL version: 2.1.3
% 2.50/0.69 % (2076260)Termination reason: Instruction limit
% 2.50/0.69 % (2076260)Termination phase: Saturation
% 2.50/0.69 % (2076260)Time elapsed: 0.025 s
% 2.50/0.69 % (2076260)Peak memory usage: 12 MB
% 2.50/0.69 % (2076260)Instructions burned: 47 (million)
% 2.50/0.69 % (2076267)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=722011781:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.96/0.73 % (2076266)Instruction limit reached!
% 2.96/0.73 % (2076266)------------------------------
% 2.96/0.73 % (2076266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.73 % (2076266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.73 % (2076266)CaDiCaL version: 2.1.3
% 2.96/0.73 % (2076266)Termination reason: Instruction limit
% 2.96/0.73 % (2076266)Termination phase: Saturation
% 2.96/0.73 % (2076266)Time elapsed: 0.012 s
% 2.96/0.73 % (2076266)Peak memory usage: 12 MB
% 2.96/0.73 % (2076266)Instructions burned: 23 (million)
% 2.96/0.73 % (2076269)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=550326260:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.96/0.73 % (2076269)Instruction limit reached!
% 2.96/0.73 % (2076269)------------------------------
% 2.96/0.73 % (2076269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.73 % (2076269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.73 % (2076269)CaDiCaL version: 2.1.3
% 2.96/0.73 % (2076269)Termination reason: Instruction limit
% 2.96/0.73 % (2076269)Termination phase: Saturation
% 2.96/0.73 % (2076269)Time elapsed: 0.008 s
% 2.96/0.73 % (2076269)Peak memory usage: 12 MB
% 2.96/0.73 % (2076269)Instructions burned: 14 (million)
% 2.96/0.73 % (2076273)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3974129808:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.96/0.73 % (2076273)Refutation not found, incomplete strategy
% 2.96/0.73 % (2076273)------------------------------
% 2.96/0.73 % (2076273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.73 % (2076273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.73 % (2076273)CaDiCaL version: 2.1.3
% 2.96/0.73 % (2076273)Termination reason: Refutation not found, incomplete strategy
% 2.96/0.73 % (2076273)Time elapsed: 0.001 s
% 2.96/0.73 % (2076273)Peak memory usage: 11 MB
% 2.96/0.73 % (2076273)Instructions burned: 1 (million)
% 2.96/0.73 % (2076273)------------------------------
% 2.96/0.73 % (2076273)------------------------------
% 2.96/0.73 % (2076179)Instruction limit reached!
% 2.96/0.73 % (2076179)------------------------------
% 2.96/0.73 % (2076179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.73 % (2076179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.73 % (2076179)CaDiCaL version: 2.1.3
% 2.96/0.73 % (2076179)Termination reason: Instruction limit
% 2.96/0.73 % (2076179)Termination phase: Saturation
% 2.96/0.73 % (2076179)Time elapsed: 0.327 s
% 2.96/0.73 % (2076179)Peak memory usage: 12 MB
% 2.96/0.73 % (2076179)Instructions burned: 635 (million)
% 2.96/0.73 % (2076271)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=3570839479:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.96/0.73 % (2076275)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1659620580:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.96/0.73 % (2076276)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1053159638:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.96/0.73 % (2076275)Instruction limit reached!
% 2.96/0.73 % (2076275)------------------------------
% 2.96/0.73 % (2076275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.73 % (2076275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.73 % (2076275)CaDiCaL version: 2.1.3
% 2.96/0.73 % (2076275)Termination reason: Instruction limit
% 2.96/0.73 % (2076275)Termination phase: Saturation
% 2.96/0.73 % (2076275)Time elapsed: 0.016 s
% 2.96/0.73 % (2076275)Peak memory usage: 12 MB
% 2.96/0.73 % (2076275)Instructions burned: 32 (million)
% 2.96/0.73 % (2076280)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=1598488805:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 2.96/0.73 % (2076276)Instruction limit reached!
% 2.96/0.73 % (2076276)------------------------------
% 2.96/0.73 % (2076276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.79 % (2076276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.79 % (2076276)CaDiCaL version: 2.1.3
% 2.96/0.79 % (2076276)Termination reason: Instruction limit
% 2.96/0.79 % (2076276)Termination phase: Saturation
% 2.96/0.79 % (2076276)Time elapsed: 0.053 s
% 2.96/0.79 % (2076276)Peak memory usage: 12 MB
% 2.96/0.79 % (2076276)Instructions burned: 138 (million)
% 2.96/0.79 % (2076280)Instruction limit reached!
% 2.96/0.79 % (2076280)------------------------------
% 2.96/0.79 % (2076280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.79 % (2076280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.79 % (2076280)CaDiCaL version: 2.1.3
% 2.96/0.79 % (2076280)Termination reason: Instruction limit
% 2.96/0.79 % (2076280)Termination phase: Saturation
% 2.96/0.79 % (2076280)Time elapsed: 0.018 s
% 2.96/0.79 % (2076280)Peak memory usage: 12 MB
% 2.96/0.79 % (2076280)Instructions burned: 35 (million)
% 2.96/0.79 % (2076235)Instruction limit reached!
% 2.96/0.79 % (2076235)------------------------------
% 2.96/0.79 % (2076235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.79 % (2076235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.79 % (2076235)CaDiCaL version: 2.1.3
% 2.96/0.79 % (2076235)Termination reason: Instruction limit
% 2.96/0.79 % (2076235)Termination phase: Saturation
% 2.96/0.79 % (2076235)Time elapsed: 0.253 s
% 2.96/0.79 % (2076235)Peak memory usage: 13 MB
% 2.96/0.79 % (2076235)Instructions burned: 1241 (million)
% 2.96/0.79 % (2076271)Instruction limit reached!
% 2.96/0.79 % (2076271)------------------------------
% 2.96/0.79 % (2076271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.79 % (2076271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.79 % (2076271)CaDiCaL version: 2.1.3
% 2.96/0.79 % (2076271)Termination reason: Instruction limit
% 2.96/0.79 % (2076271)Termination phase: Saturation
% 2.96/0.79 % (2076271)Time elapsed: 0.078 s
% 2.96/0.79 % (2076271)Peak memory usage: 12 MB
% 2.96/0.79 % (2076271)Instructions burned: 66 (million)
% 2.96/0.79 % (2076284)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=3272596531:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 2.96/0.79 % (2076284)Refutation not found, incomplete strategy
% 2.96/0.79 % (2076284)------------------------------
% 2.96/0.79 % (2076284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.79 % (2076284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.79 % (2076284)CaDiCaL version: 2.1.3
% 2.96/0.79 % (2076284)Termination reason: Refutation not found, incomplete strategy
% 2.96/0.79 % (2076284)Time elapsed: 0.0000 s
% 2.96/0.79 % (2076284)Peak memory usage: 11 MB
% 2.96/0.79 % (2076284)------------------------------
% 2.96/0.79 % (2076284)------------------------------
% 2.96/0.79 % (2076283)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.96/0.79 % (2076283)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=4172698643:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 2.96/0.79 % (2076287)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2008237720:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 2.96/0.79 % (2076267)Instruction limit reached!
% 2.96/0.79 % (2076267)------------------------------
% 2.96/0.79 % (2076267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.79 % (2076267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.79 % (2076287)Refutation not found, incomplete strategy
% 2.96/0.79 % (2076287)------------------------------
% 2.96/0.79 % (2076287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.79 % (2076267)CaDiCaL version: 2.1.3
% 2.96/0.79 % (2076287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.79 % (2076267)Termination reason: Instruction limit
% 2.96/0.79 % (2076267)Termination phase: Saturation
% 2.96/0.79 % (2076287)CaDiCaL version: 2.1.3
% 2.96/0.79 % (2076267)Time elapsed: 0.145 s
% 2.96/0.79 % (2076287)Termination reason: Refutation not found, incomplete strategy
% 2.96/0.79 % (2076287)Time elapsed: 0.0000 s
% 2.96/0.79 % (2076287)Peak memory usage: 11 MB
% 2.96/0.79 % (2076267)Peak memory usage: 12 MB
% 2.96/0.79 % (2076267)Instructions burned: 201 (million)
% 2.96/0.79 % (2076287)------------------------------
% 3.50/0.84 % (2076287)------------------------------
% 3.50/0.84 % (2076282)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2586286145:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.50/0.84 % (2076282)Refutation not found, incomplete strategy
% 3.50/0.84 % (2076282)------------------------------
% 3.50/0.84 % (2076282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.84 % (2076282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.84 % (2076282)CaDiCaL version: 2.1.3
% 3.50/0.84 % (2076282)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.84 % (2076282)Time elapsed: 0.001 s
% 3.50/0.84 % (2076282)Peak memory usage: 11 MB
% 3.50/0.84 % (2076282)Instructions burned: 1 (million)
% 3.50/0.84 % (2076291)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=3133150799:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.50/0.84 % (2076291)Refutation not found, incomplete strategy
% 3.50/0.84 % (2076291)------------------------------
% 3.50/0.84 % (2076291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.84 % (2076291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.84 % (2076291)CaDiCaL version: 2.1.3
% 3.50/0.84 % (2076291)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.84 % (2076291)Time elapsed: 0.0000 s
% 3.50/0.84 % (2076291)Peak memory usage: 12 MB
% 3.50/0.84 % (2076291)------------------------------
% 3.50/0.84 % (2076291)------------------------------
% 3.50/0.84 % (2076282)------------------------------
% 3.50/0.84 % (2076282)------------------------------
% 3.50/0.84 % (2076285)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1705518785:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.50/0.84 % (2076290)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3186138151:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.50/0.84 % (2076290)Refutation not found, incomplete strategy
% 3.50/0.84 % (2076290)------------------------------
% 3.50/0.84 % (2076290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.84 % (2076290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.84 % (2076290)CaDiCaL version: 2.1.3
% 3.50/0.84 % (2076290)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.84 % (2076290)Time elapsed: 0.001 s
% 3.50/0.84 % (2076290)Peak memory usage: 11 MB
% 3.50/0.84 % (2076290)------------------------------
% 3.50/0.84 % (2076290)------------------------------
% 3.50/0.84 % (2076295)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2378202288:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.50/0.84 % (2076294)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3449589280:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.50/0.84 % (2076294)Refutation not found, incomplete strategy
% 3.50/0.84 % (2076294)------------------------------
% 3.50/0.84 % (2076294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.84 % (2076294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.84 % (2076294)CaDiCaL version: 2.1.3
% 3.50/0.84 % (2076294)Termination reason: Refutation not found, incomplete strategy
% 3.50/0.84 % (2076294)Time elapsed: 0.002 s
% 3.50/0.84 % (2076294)Peak memory usage: 11 MB
% 3.50/0.84 % (2076294)Instructions burned: 1 (million)
% 3.50/0.84 % (2076294)------------------------------
% 3.50/0.84 % (2076294)------------------------------
% 3.50/0.84 % (2076295)Instruction limit reached!
% 3.50/0.84 % (2076295)------------------------------
% 3.50/0.84 % (2076295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.84 % (2076295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.84 % (2076295)CaDiCaL version: 2.1.3
% 3.50/0.84 % (2076295)Termination reason: Instruction limit
% 3.50/0.84 % (2076295)Termination phase: Saturation
% 3.50/0.84 % (2076295)Time elapsed: 0.012 s
% 3.50/0.84 % (2076295)Peak memory usage: 12 MB
% 3.50/0.84 % (2076295)Instructions burned: 45 (million)
% 3.50/0.84 % (2076298)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=3504111247:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 3.50/0.84 % (2076298)Refutation not found, incomplete strategy
% 3.87/0.90 % (2076298)------------------------------
% 3.87/0.90 % (2076298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.90 % (2076298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.90 % (2076298)CaDiCaL version: 2.1.3
% 3.87/0.90 % (2076298)Termination reason: Refutation not found, incomplete strategy
% 3.87/0.90 % (2076298)Time elapsed: 0.001 s
% 3.87/0.90 % (2076298)Peak memory usage: 12 MB
% 3.87/0.90 % (2076298)Instructions burned: 1 (million)
% 3.87/0.90 % (2076298)------------------------------
% 3.87/0.90 % (2076298)------------------------------
% 3.87/0.90 % (2076301)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1093004642:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.87/0.90 % (2076304)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=4233065234:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.87/0.90 % (2076302)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=3799474843:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.87/0.90 % (2076285)Instruction limit reached!
% 3.87/0.90 % (2076285)------------------------------
% 3.87/0.90 % (2076285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.90 % (2076285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.90 % (2076285)CaDiCaL version: 2.1.3
% 3.87/0.90 % (2076285)Termination reason: Instruction limit
% 3.87/0.90 % (2076285)Termination phase: Saturation
% 3.87/0.90 % (2076285)Time elapsed: 0.056 s
% 3.87/0.90 % (2076285)Peak memory usage: 12 MB
% 3.87/0.90 % (2076285)Instructions burned: 97 (million)
% 3.87/0.90 % (2076256)Instruction limit reached!
% 3.87/0.90 % (2076256)------------------------------
% 3.87/0.90 % (2076256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.90 % (2076256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.90 % (2076256)CaDiCaL version: 2.1.3
% 3.87/0.90 % (2076256)Termination reason: Instruction limit
% 3.87/0.90 % (2076256)Termination phase: Saturation
% 3.87/0.90 % (2076256)Time elapsed: 0.251 s
% 3.87/0.90 % (2076256)Peak memory usage: 13 MB
% 3.87/0.90 % (2076256)Instructions burned: 316 (million)
% 3.87/0.90 % (2076283)Instruction limit reached!
% 3.87/0.90 % (2076283)------------------------------
% 3.87/0.90 % (2076283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.90 % (2076283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.90 % (2076283)CaDiCaL version: 2.1.3
% 3.87/0.90 % (2076283)Termination reason: Instruction limit
% 3.87/0.90 % (2076283)Termination phase: Saturation
% 3.87/0.90 % (2076283)Time elapsed: 0.082 s
% 3.87/0.90 % (2076283)Peak memory usage: 12 MB
% 3.87/0.90 % (2076283)Instructions burned: 182 (million)
% 3.87/0.90 % (2076310)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=3714946023:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/375Mi)
% 3.87/0.90 % (2076304)Instruction limit reached!
% 3.87/0.90 % (2076304)------------------------------
% 3.87/0.90 % (2076304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.90 % (2076304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.90 % (2076304)CaDiCaL version: 2.1.3
% 3.87/0.90 % (2076304)Termination reason: Instruction limit
% 3.87/0.90 % (2076304)Termination phase: Saturation
% 3.87/0.90 % (2076304)Time elapsed: 0.035 s
% 3.87/0.90 % (2076304)Peak memory usage: 12 MB
% 3.87/0.90 % (2076304)Instructions burned: 65 (million)
% 3.87/0.90 % (2076310)Refutation not found, incomplete strategy
% 3.87/0.90 % (2076310)------------------------------
% 3.87/0.90 % (2076310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.90 % (2076310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.90 % (2076310)CaDiCaL version: 2.1.3
% 3.87/0.90 % (2076310)Termination reason: Refutation not found, incomplete strategy
% 3.87/0.90 % (2076310)Time elapsed: 0.001 s
% 3.87/0.90 % (2076310)Peak memory usage: 11 MB
% 3.87/0.90 % (2076310)------------------------------
% 3.87/0.90 % (2076310)------------------------------
% 3.87/0.90 % (2076308)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=63617578: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)
% 3.87/0.98 % (2076302)Instruction limit reached!
% 3.87/0.98 % (2076302)------------------------------
% 3.87/0.98 % (2076302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.98 % (2076302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.98 % (2076302)CaDiCaL version: 2.1.3
% 3.87/0.98 % (2076302)Termination reason: Instruction limit
% 3.87/0.98 % (2076302)Termination phase: Saturation
% 3.87/0.98 % (2076302)Time elapsed: 0.042 s
% 3.87/0.98 % (2076302)Peak memory usage: 12 MB
% 3.87/0.98 % (2076302)Instructions burned: 96 (million)
% 3.87/0.98 % (2076309)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=2694526292: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)
% 3.87/0.98 % (2076309)Refutation not found, incomplete strategy
% 3.87/0.98 % (2076309)------------------------------
% 3.87/0.98 % (2076309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.98 % (2076309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.98 % (2076309)CaDiCaL version: 2.1.3
% 3.87/0.98 % (2076309)Termination reason: Refutation not found, incomplete strategy
% 3.87/0.98 % (2076309)Time elapsed: 0.001 s
% 3.87/0.98 % (2076309)Peak memory usage: 12 MB
% 3.87/0.98 % (2076309)------------------------------
% 3.87/0.98 % (2076309)------------------------------
% 3.87/0.98 % (2076312)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4293550415:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/495Mi)
% 3.87/0.98 % (2076313)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=2540361687:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 3.87/0.98 % (2076313)Instruction limit reached!
% 3.87/0.98 % (2076313)------------------------------
% 3.87/0.98 % (2076313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.99 % (2076313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.99 % (2076313)CaDiCaL version: 2.1.3
% 3.87/0.99 % (2076313)Termination reason: Instruction limit
% 3.87/0.99 % (2076313)Termination phase: Saturation
% 3.87/0.99 % (2076313)Time elapsed: 0.018 s
% 3.87/0.99 % (2076313)Peak memory usage: 12 MB
% 3.87/0.99 % (2076313)Instructions burned: 35 (million)
% 3.87/0.99 % (2076301)Instruction limit reached!
% 3.87/0.99 % (2076301)------------------------------
% 3.87/0.99 % (2076301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.99 % (2076301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.99 % (2076301)CaDiCaL version: 2.1.3
% 3.87/0.99 % (2076301)Termination reason: Instruction limit
% 3.87/0.99 % (2076301)Termination phase: Saturation
% 3.87/0.99 % (2076301)Time elapsed: 0.090 s
% 3.87/0.99 % (2076301)Peak memory usage: 12 MB
% 3.87/0.99 % (2076301)Instructions burned: 451 (million)
% 3.87/0.99 % (2076316)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=2761304889:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2994 on theBenchmark for (2994ds/91Mi)
% 3.87/0.99 % (2076317)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=3437280895:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2994 on theBenchmark for (2994ds/66Mi)
% 3.87/0.99 % (2076322)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=439937265:i=338:bd=all:ins=4:rtra=on_2993 on theBenchmark for (2993ds/338Mi)
% 3.87/0.99 % (2076317)Refutation not found, incomplete strategy
% 3.87/0.99 % (2076317)------------------------------
% 3.87/0.99 % (2076317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/0.99 % (2076317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/0.99 % (2076317)CaDiCaL version: 2.1.3
% 3.87/0.99 % (2076317)Termination reason: Refutation not found, incomplete strategy
% 3.87/0.99 % (2076317)Time elapsed: 0.001 s
% 3.87/0.99 % (2076317)Peak memory usage: 11 MB
% 3.87/0.99 % (2076317)------------------------------
% 3.87/1.04 % (2076317)------------------------------
% 3.87/1.04 % (2076321)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=793052972:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2993 on theBenchmark for (2993ds/22Mi)
% 3.87/1.04 % (2076321)Instruction limit reached!
% 3.87/1.04 % (2076321)------------------------------
% 3.87/1.04 % (2076321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/1.04 % (2076321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.04 % (2076321)CaDiCaL version: 2.1.3
% 3.87/1.04 % (2076321)Termination reason: Instruction limit
% 3.87/1.04 % (2076321)Termination phase: Saturation
% 3.87/1.04 % (2076321)Time elapsed: 0.011 s
% 3.87/1.04 % (2076321)Peak memory usage: 12 MB
% 3.87/1.04 % (2076321)Instructions burned: 23 (million)
% 3.87/1.04 % (2076257)Instruction limit reached!
% 3.87/1.04 % (2076257)------------------------------
% 3.87/1.04 % (2076257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/1.04 % (2076257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.04 % (2076257)CaDiCaL version: 2.1.3
% 3.87/1.04 % (2076257)Termination reason: Instruction limit
% 3.87/1.04 % (2076257)Termination phase: Saturation
% 3.87/1.04 % (2076257)Time elapsed: 0.365 s
% 3.87/1.04 % (2076257)Peak memory usage: 13 MB
% 3.87/1.04 % (2076257)Instructions burned: 853 (million)
% 3.87/1.04 % (2076328)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 3.87/1.04 % (2076328)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3885267607: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)
% 3.87/1.04 % (2076326)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1642166661:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2993 on theBenchmark for (2993ds/28Mi)
% 3.87/1.04 % (2076326)Refutation not found, incomplete strategy
% 3.87/1.04 % (2076326)------------------------------
% 3.87/1.04 % (2076326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/1.04 % (2076326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.04 % (2076326)CaDiCaL version: 2.1.3
% 3.87/1.04 % (2076326)Termination reason: Refutation not found, incomplete strategy
% 3.87/1.04 % (2076326)Time elapsed: 0.001 s
% 3.87/1.04 % (2076326)Peak memory usage: 11 MB
% 3.87/1.04 % (2076326)------------------------------
% 3.87/1.04 % (2076326)------------------------------
% 3.87/1.04 % (2076308)Instruction limit reached!
% 3.87/1.04 % (2076308)------------------------------
% 3.87/1.04 % (2076308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/1.04 % (2076308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.04 % (2076308)CaDiCaL version: 2.1.3
% 3.87/1.04 % (2076308)Termination reason: Instruction limit
% 3.87/1.04 % (2076308)Termination phase: Saturation
% 3.87/1.04 % (2076308)Time elapsed: 0.107 s
% 3.87/1.04 % (2076308)Peak memory usage: 12 MB
% 3.87/1.04 % (2076308)Instructions burned: 105 (million)
% 3.87/1.04 % (2076332)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=935927371:i=227:sd=1:bd=all:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/227Mi)
% 3.87/1.04 % (2076332)Refutation not found, incomplete strategy
% 3.87/1.04 % (2076332)------------------------------
% 3.87/1.04 % (2076332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/1.04 % (2076332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.04 % (2076332)CaDiCaL version: 2.1.3
% 3.87/1.04 % (2076332)Termination reason: Refutation not found, incomplete strategy
% 3.87/1.04 % (2076332)Time elapsed: 0.0000 s
% 3.87/1.04 % (2076332)Peak memory usage: 11 MB
% 3.87/1.04 % (2076329)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=1167345773:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2993 on theBenchmark for (2993ds/340Mi)
% 3.87/1.04 % (2076332)------------------------------
% 3.87/1.04 % (2076332)------------------------------
% 3.87/1.04 % (2076316)Instruction limit reached!
% 3.87/1.04 % (2076316)------------------------------
% 3.87/1.04 % (2076316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.87/1.04 % (2076316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.09 % (2076316)CaDiCaL version: 2.1.3
% 5.17/1.09 % (2076316)Termination reason: Instruction limit
% 5.17/1.09 % (2076316)Termination phase: Saturation
% 5.17/1.09 % (2076316)Time elapsed: 0.068 s
% 5.17/1.09 % (2076316)Peak memory usage: 12 MB
% 5.17/1.09 % (2076316)Instructions burned: 92 (million)
% 5.17/1.09 % (2076333)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 5.17/1.09 % (2076322)Instruction limit reached!
% 5.17/1.09 % (2076322)------------------------------
% 5.17/1.09 % (2076322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.09 % (2076322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.09 % (2076322)CaDiCaL version: 2.1.3
% 5.17/1.09 % (2076322)Termination reason: Instruction limit
% 5.17/1.09 % (2076322)Termination phase: Saturation
% 5.17/1.09 % (2076322)Time elapsed: 0.077 s
% 5.17/1.09 % (2076322)Peak memory usage: 14 MB
% 5.17/1.09 % (2076322)Instructions burned: 339 (million)
% 5.17/1.09 % (2076333)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2400988376:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/373Mi)
% 5.17/1.09 % (2076338)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3276006842:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.17/1.09 % (2076336)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=302095087:i=116:ep=RSTC:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/116Mi)
% 5.17/1.09 % (2076337)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1347736588:i=575:rtra=on_2993 on theBenchmark for (2993ds/575Mi)
% 5.17/1.09 % (2076337)Refutation not found, incomplete strategy
% 5.17/1.09 % (2076337)------------------------------
% 5.17/1.09 % (2076337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.09 % (2076337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.09 % (2076337)CaDiCaL version: 2.1.3
% 5.17/1.09 % (2076337)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.09 % (2076337)Time elapsed: 0.001 s
% 5.17/1.09 % (2076337)Peak memory usage: 11 MB
% 5.17/1.09 % (2076337)Instructions burned: 1 (million)
% 5.17/1.09 % (2076337)------------------------------
% 5.17/1.09 % (2076337)------------------------------
% 5.17/1.09 % (2076328)Instruction limit reached!
% 5.17/1.09 % (2076328)------------------------------
% 5.17/1.09 % (2076328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.09 % (2076328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.09 % (2076328)CaDiCaL version: 2.1.3
% 5.17/1.09 % (2076328)Termination reason: Instruction limit
% 5.17/1.09 % (2076328)Termination phase: Saturation
% 5.17/1.09 % (2076328)Time elapsed: 0.063 s
% 5.17/1.09 % (2076328)Peak memory usage: 12 MB
% 5.17/1.09 % (2076328)Instructions burned: 137 (million)
% 5.17/1.09 % (2076343)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=1931389576:hsq=on:hsqr=16,1:s2a=on:i=9840:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2992 on theBenchmark for (2992ds/9840Mi)
% 5.17/1.09 % (2076344)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=3273068051:i=421:rtra=on:ss=axioms_2992 on theBenchmark for (2992ds/421Mi)
% 5.17/1.09 % (2076344)Refutation not found, incomplete strategy
% 5.17/1.09 % (2076344)------------------------------
% 5.17/1.09 % (2076344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.17/1.09 % (2076344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.09 % (2076344)CaDiCaL version: 2.1.3
% 5.17/1.09 % (2076344)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.09 % (2076344)Time elapsed: 0.001 s
% 5.17/1.09 % (2076344)Peak memory usage: 11 MB
% 5.17/1.09 % (2076344)------------------------------
% 5.17/1.09 % (2076344)------------------------------
% 5.17/1.09 % (2076347)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
% 5.17/1.09 % (2076347)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=2845460904:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/270Mi)
% 5.77/1.22 % (2076338)Instruction limit reached!
% 5.77/1.22 % (2076338)------------------------------
% 5.77/1.22 % (2076338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.22 % (2076338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.22 % (2076338)CaDiCaL version: 2.1.3
% 5.77/1.22 % (2076338)Termination reason: Instruction limit
% 5.77/1.22 % (2076338)Termination phase: Saturation
% 5.77/1.22 % (2076338)Time elapsed: 0.060 s
% 5.77/1.22 % (2076338)Peak memory usage: 12 MB
% 5.77/1.22 % (2076338)Instructions burned: 271 (million)
% 5.77/1.22 % (2076349)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=4037449119:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/31Mi)
% 5.77/1.22 % (2076336)Instruction limit reached!
% 5.77/1.22 % (2076336)------------------------------
% 5.77/1.22 % (2076336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.22 % (2076336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.22 % (2076336)CaDiCaL version: 2.1.3
% 5.77/1.22 % (2076336)Termination reason: Instruction limit
% 5.77/1.22 % (2076336)Termination phase: Saturation
% 5.77/1.22 % (2076336)Time elapsed: 0.071 s
% 5.77/1.22 % (2076336)Peak memory usage: 12 MB
% 5.77/1.22 % (2076336)Instructions burned: 117 (million)
% 5.77/1.22 % (2076349)Instruction limit reached!
% 5.77/1.22 % (2076349)------------------------------
% 5.77/1.22 % (2076349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.22 % (2076349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.22 % (2076349)CaDiCaL version: 2.1.3
% 5.77/1.22 % (2076349)Termination reason: Instruction limit
% 5.77/1.22 % (2076349)Termination phase: Saturation
% 5.77/1.22 % (2076349)Time elapsed: 0.009 s
% 5.77/1.22 % (2076349)Peak memory usage: 12 MB
% 5.77/1.22 % (2076349)Instructions burned: 33 (million)
% 5.77/1.22 % (2076352)dis+10_2_sil=128000:si=on:random_seed=1717810610:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 5.77/1.22 % (2076352)Refutation not found, incomplete strategy
% 5.77/1.22 % (2076352)------------------------------
% 5.77/1.22 % (2076352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.22 % (2076352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.22 % (2076352)CaDiCaL version: 2.1.3
% 5.77/1.22 % (2076352)Termination reason: Refutation not found, incomplete strategy
% 5.77/1.22 % (2076352)Time elapsed: 0.0000 s
% 5.77/1.22 % (2076352)Peak memory usage: 11 MB
% 5.77/1.22 % (2076352)------------------------------
% 5.77/1.22 % (2076352)------------------------------
% 5.77/1.22 % (2076312)Instruction limit reached!
% 5.77/1.22 % (2076312)------------------------------
% 5.77/1.22 % (2076312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.77/1.22 % (2076312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.77/1.22 % (2076312)CaDiCaL version: 2.1.3
% 5.77/1.22 % (2076312)Termination reason: Instruction limit
% 5.77/1.22 % (2076312)Termination phase: Saturation
% 5.77/1.22 % (2076312)Time elapsed: 0.214 s
% 5.77/1.22 % (2076312)Peak memory usage: 13 MB
% 5.77/1.22 % (2076312)Instructions burned: 495 (million)
% 5.77/1.22 % (2076354)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=2814486059:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 5.77/1.22 % (2076351)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.77/1.22 % (2076351)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
% 5.77/1.22 % (2076355)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=3841795143:st=3:avsq=on:i=122:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/122Mi)
% 5.77/1.22 % (2076355)Refutation not found, incomplete strategy
% 5.77/1.22 % (2076355)------------------------------
% 5.77/1.22 % (2076355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.32 % (2076355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.32 % (2076355)CaDiCaL version: 2.1.3
% 6.17/1.32 % (2076355)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.32 % (2076355)Time elapsed: 0.001 s
% 6.17/1.32 % (2076355)Peak memory usage: 11 MB
% 6.17/1.32 % (2076355)------------------------------
% 6.17/1.32 % (2076355)------------------------------
% 6.17/1.32 % (2076351)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=3175921129:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/1440Mi)
% 6.17/1.32 % (2076354)Instruction limit reached!
% 6.17/1.32 % (2076354)------------------------------
% 6.17/1.32 % (2076354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.32 % (2076354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.32 % (2076354)CaDiCaL version: 2.1.3
% 6.17/1.32 % (2076354)Termination reason: Instruction limit
% 6.17/1.32 % (2076354)Termination phase: Saturation
% 6.17/1.32 % (2076354)Time elapsed: 0.028 s
% 6.17/1.32 % (2076354)Peak memory usage: 12 MB
% 6.17/1.32 % (2076354)Instructions burned: 112 (million)
% 6.17/1.32 % (2076358)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=3115870195:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/136Mi)
% 6.17/1.32 % (2076358)Refutation not found, incomplete strategy
% 6.17/1.32 % (2076358)------------------------------
% 6.17/1.32 % (2076358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.32 % (2076358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.32 % (2076358)CaDiCaL version: 2.1.3
% 6.17/1.32 % (2076358)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.32 % (2076358)Time elapsed: 0.001 s
% 6.17/1.32 % (2076358)Peak memory usage: 11 MB
% 6.17/1.32 % (2076358)Instructions burned: 1 (million)
% 6.17/1.32 % (2076358)------------------------------
% 6.17/1.32 % (2076358)------------------------------
% 6.17/1.32 % (2076362)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=564168950:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2991 on theBenchmark for (2991ds/1254Mi)
% 6.17/1.32 % (2076362)Refutation not found, incomplete strategy
% 6.17/1.32 % (2076362)------------------------------
% 6.17/1.32 % (2076362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.32 % (2076362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.32 % (2076362)CaDiCaL version: 2.1.3
% 6.17/1.32 % (2076362)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.32 % (2076362)Time elapsed: 0.001 s
% 6.17/1.32 % (2076362)Peak memory usage: 11 MB
% 6.17/1.32 % (2076362)Instructions burned: 3 (million)
% 6.17/1.32 % (2076362)------------------------------
% 6.17/1.32 % (2076362)------------------------------
% 6.17/1.32 % (2076360)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2437704249:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2991 on theBenchmark for (2991ds/232Mi)
% 6.17/1.32 % (2076360)Refutation not found, incomplete strategy
% 6.17/1.32 % (2076360)------------------------------
% 6.17/1.32 % (2076360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.32 % (2076360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.17/1.32 % (2076360)CaDiCaL version: 2.1.3
% 6.17/1.32 % (2076360)Termination reason: Refutation not found, incomplete strategy
% 6.17/1.32 % (2076360)Time elapsed: 0.0000 s
% 6.17/1.32 % (2076360)Peak memory usage: 11 MB
% 6.17/1.32 % (2076360)------------------------------
% 6.17/1.32 % (2076360)------------------------------
% 6.17/1.32 % (2076366)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3638357229:i=619:add=on:rtra=on_2991 on theBenchmark for (2991ds/619Mi)
% 6.17/1.32 % (2076364)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.17/1.32 % (2076366)Refutation not found, incomplete strategy
% 6.17/1.32 % (2076366)------------------------------
% 6.17/1.32 % (2076366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.17/1.32 % (2076366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.46 % (2076366)CaDiCaL version: 2.1.3
% 6.91/1.46 % (2076366)Termination reason: Refutation not found, incomplete strategy
% 6.91/1.46 % (2076366)Time elapsed: 0.001 s
% 6.91/1.46 % (2076366)Peak memory usage: 12 MB
% 6.91/1.46 % (2076366)Instructions burned: 2 (million)
% 6.91/1.46 % (2076366)------------------------------
% 6.91/1.46 % (2076366)------------------------------
% 6.91/1.46 % (2076364)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=3153433892:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2991 on theBenchmark for (2991ds/281Mi)
% 6.91/1.46 % (2076368)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=2253407959:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/865Mi)
% 6.91/1.46 % (2076347)Instruction limit reached!
% 6.91/1.46 % (2076347)------------------------------
% 6.91/1.46 % (2076347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.46 % (2076347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.46 % (2076347)CaDiCaL version: 2.1.3
% 6.91/1.46 % (2076347)Termination reason: Instruction limit
% 6.91/1.46 % (2076347)Termination phase: Saturation
% 6.91/1.46 % (2076347)Time elapsed: 0.177 s
% 6.91/1.46 % (2076347)Peak memory usage: 12 MB
% 6.91/1.46 % (2076347)Instructions burned: 271 (million)
% 6.91/1.46 % (2076329)Instruction limit reached!
% 6.91/1.46 % (2076329)------------------------------
% 6.91/1.46 % (2076329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.46 % (2076329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.46 % (2076329)CaDiCaL version: 2.1.3
% 6.91/1.46 % (2076329)Termination reason: Instruction limit
% 6.91/1.46 % (2076329)Termination phase: Saturation
% 6.91/1.46 % (2076329)Time elapsed: 0.263 s
% 6.91/1.46 % (2076329)Peak memory usage: 13 MB
% 6.91/1.46 % (2076329)Instructions burned: 341 (million)
% 6.91/1.46 % (2076333)Instruction limit reached!
% 6.91/1.46 % (2076333)------------------------------
% 6.91/1.46 % (2076333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.46 % (2076333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.46 % (2076333)CaDiCaL version: 2.1.3
% 6.91/1.46 % (2076333)Termination reason: Instruction limit
% 6.91/1.46 % (2076333)Termination phase: Saturation
% 6.91/1.46 % (2076333)Time elapsed: 0.261 s
% 6.91/1.46 % (2076333)Peak memory usage: 12 MB
% 6.91/1.46 % (2076333)Instructions burned: 373 (million)
% 6.91/1.46 % (2076372)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=3452448168:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/130Mi)
% 6.91/1.46 % (2076372)Refutation not found, incomplete strategy
% 6.91/1.46 % (2076372)------------------------------
% 6.91/1.46 % (2076372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.46 % (2076372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.46 % (2076372)CaDiCaL version: 2.1.3
% 6.91/1.46 % (2076372)Termination reason: Refutation not found, incomplete strategy
% 6.91/1.46 % (2076372)Time elapsed: 0.001 s
% 6.91/1.46 % (2076372)Peak memory usage: 11 MB
% 6.91/1.46 % (2076372)------------------------------
% 6.91/1.46 % (2076372)------------------------------
% 6.91/1.46 % (2076371)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1648983738:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/212Mi)
% 6.91/1.46 % (2076371)Refutation not found, incomplete strategy
% 6.91/1.46 % (2076371)------------------------------
% 6.91/1.46 % (2076371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.91/1.46 % (2076371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.91/1.46 % (2076371)CaDiCaL version: 2.1.3
% 6.91/1.46 % (2076371)Termination reason: Refutation not found, incomplete strategy
% 6.91/1.46 % (2076371)Time elapsed: 0.001 s
% 6.91/1.46 % (2076371)Peak memory usage: 11 MB
% 6.91/1.46 % (2076371)------------------------------
% 6.91/1.46 % (2076371)------------------------------
% 6.91/1.46 % (2076375)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=2896180484:st=1.5:i=346:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/346Mi)
% 6.91/1.46 % (2076376)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2150182647:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2990 on theBenchmark for (2990ds/152Mi)
% 7.41/1.64 % (2076375)Refutation not found, incomplete strategy
% 7.41/1.64 % (2076375)------------------------------
% 7.41/1.64 % (2076375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.64 % (2076375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.64 % (2076375)CaDiCaL version: 2.1.3
% 7.41/1.64 % (2076375)Termination reason: Refutation not found, incomplete strategy
% 7.41/1.64 % (2076375)Time elapsed: 0.001 s
% 7.41/1.64 % (2076375)Peak memory usage: 11 MB
% 7.41/1.64 % (2076375)Instructions burned: 1 (million)
% 7.41/1.64 % (2076375)------------------------------
% 7.41/1.64 % (2076375)------------------------------
% 7.41/1.64 % (2076378)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=454521293:i=75:ep=R:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/75Mi)
% 7.41/1.64 % (2076364)Instruction limit reached!
% 7.41/1.64 % (2076364)------------------------------
% 7.41/1.64 % (2076364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.64 % (2076364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.64 % (2076364)CaDiCaL version: 2.1.3
% 7.41/1.64 % (2076364)Termination reason: Instruction limit
% 7.41/1.64 % (2076364)Termination phase: Saturation
% 7.41/1.64 % (2076364)Time elapsed: 0.151 s
% 7.41/1.64 % (2076364)Peak memory usage: 13 MB
% 7.41/1.64 % (2076364)Instructions burned: 281 (million)
% 7.41/1.64 % (2076381)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=324370908:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/387Mi)
% 7.41/1.64 % (2076381)Refutation not found, incomplete strategy
% 7.41/1.64 % (2076381)------------------------------
% 7.41/1.64 % (2076381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.64 % (2076381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.64 % (2076381)CaDiCaL version: 2.1.3
% 7.41/1.64 % (2076381)Termination reason: Refutation not found, incomplete strategy
% 7.41/1.64 % (2076381)Time elapsed: 0.001 s
% 7.41/1.64 % (2076381)Peak memory usage: 11 MB
% 7.41/1.64 % (2076381)Instructions burned: 1 (million)
% 7.41/1.64 % (2076381)------------------------------
% 7.41/1.64 % (2076381)------------------------------
% 7.41/1.64 % (2076383)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=2838206858:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2989 on theBenchmark for (2989ds/148Mi)
% 7.41/1.64 % (2076385)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=1063213762:i=161:piset=and:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/161Mi)
% 7.41/1.64 % (2076378)Instruction limit reached!
% 7.41/1.64 % (2076378)------------------------------
% 7.41/1.64 % (2076378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.64 % (2076378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.64 % (2076378)CaDiCaL version: 2.1.3
% 7.41/1.64 % (2076378)Termination reason: Instruction limit
% 7.41/1.64 % (2076378)Termination phase: Saturation
% 7.41/1.64 % (2076378)Time elapsed: 0.049 s
% 7.41/1.64 % (2076378)Peak memory usage: 12 MB
% 7.41/1.64 % (2076378)Instructions burned: 77 (million)
% 7.41/1.64 % (2076388)lrs+10_1_sil=128000:si=on:random_seed=561669554:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/888Mi)
% 7.41/1.64 % (2076388)Refutation not found, incomplete strategy
% 7.41/1.64 % (2076388)------------------------------
% 7.41/1.64 % (2076388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.64 % (2076388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.64 % (2076388)CaDiCaL version: 2.1.3
% 7.41/1.64 % (2076388)Termination reason: Refutation not found, incomplete strategy
% 7.41/1.64 % (2076388)Time elapsed: 0.001 s
% 7.41/1.64 % (2076388)Peak memory usage: 11 MB
% 7.41/1.64 % (2076388)------------------------------
% 7.41/1.64 % (2076388)------------------------------
% 7.41/1.64 % (2076376)Instruction limit reached!
% 7.41/1.64 % (2076376)------------------------------
% 7.41/1.64 % (2076376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.41/1.64 % (2076376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.41/1.64 % (2076376)CaDiCaL version: 2.1.3
% 7.41/1.64 % (2076376)Termination reason: Instruction limit
% 8.93/1.83 % (2076376)Termination phase: Saturation
% 8.93/1.83 % (2076376)Time elapsed: 0.105 s
% 8.93/1.83 % (2076376)Peak memory usage: 12 MB
% 8.93/1.83 % (2076376)Instructions burned: 153 (million)
% 8.93/1.83 % (2076383)Instruction limit reached!
% 8.93/1.83 % (2076383)------------------------------
% 8.93/1.83 % (2076383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.93/1.83 % (2076383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/1.83 % (2076383)CaDiCaL version: 2.1.3
% 8.93/1.83 % (2076383)Termination reason: Instruction limit
% 8.93/1.83 % (2076383)Termination phase: Saturation
% 8.93/1.83 % (2076383)Time elapsed: 0.065 s
% 8.93/1.83 % (2076383)Peak memory usage: 12 MB
% 8.93/1.83 % (2076383)Instructions burned: 148 (million)
% 8.93/1.83 % (2076390)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=2559915380:i=136:add=on:ins=4:rtra=on:sup=off_2989 on theBenchmark for (2989ds/136Mi)
% 8.93/1.83 % (2076368)Instruction limit reached!
% 8.93/1.83 % (2076368)------------------------------
% 8.93/1.83 % (2076368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.93/1.83 % (2076368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/1.83 % (2076368)CaDiCaL version: 2.1.3
% 8.93/1.83 % (2076368)Termination reason: Instruction limit
% 8.93/1.83 % (2076368)Termination phase: Saturation
% 8.93/1.83 % (2076368)Time elapsed: 0.231 s
% 8.93/1.83 % (2076368)Peak memory usage: 15 MB
% 8.93/1.83 % (2076368)Instructions burned: 868 (million)
% 8.93/1.83 % (2076385)Instruction limit reached!
% 8.93/1.83 % (2076385)------------------------------
% 8.93/1.83 % (2076385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.93/1.83 % (2076385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/1.83 % (2076385)CaDiCaL version: 2.1.3
% 8.93/1.83 % (2076385)Termination reason: Instruction limit
% 8.93/1.83 % (2076385)Termination phase: Saturation
% 8.93/1.83 % (2076385)Time elapsed: 0.058 s
% 8.93/1.83 % (2076385)Peak memory usage: 12 MB
% 8.93/1.83 % (2076385)Instructions burned: 164 (million)
% 8.93/1.83 % (2076394)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1545230782:i=2186:rtra=on:ixr=off_2988 on theBenchmark for (2988ds/2186Mi)
% 8.93/1.83 % (2076393)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=61457405:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2988 on theBenchmark for (2988ds/93Mi)
% 8.93/1.83 % (2076395)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3962604085:s2a=on:i=240:rtra=on:ntd=on_2988 on theBenchmark for (2988ds/240Mi)
% 8.93/1.83 % (2076391)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=2551203002:i=88:s2at=3:nm=2:rtra=on:rawr=on_2989 on theBenchmark for (2989ds/88Mi)
% 8.93/1.83 % (2076393)Instruction limit reached!
% 8.93/1.83 % (2076393)------------------------------
% 8.93/1.83 % (2076393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.93/1.83 % (2076393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/1.83 % (2076393)CaDiCaL version: 2.1.3
% 8.93/1.83 % (2076393)Termination reason: Instruction limit
% 8.93/1.83 % (2076393)Termination phase: Saturation
% 8.93/1.83 % (2076393)Time elapsed: 0.045 s
% 8.93/1.83 % (2076393)Peak memory usage: 12 MB
% 8.93/1.83 % (2076393)Instructions burned: 93 (million)
% 8.93/1.83 % (2076400)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3356415195:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2988 on theBenchmark for (2988ds/805Mi)
% 8.93/1.83 % (2076391)Instruction limit reached!
% 8.93/1.83 % (2076391)------------------------------
% 8.93/1.83 % (2076391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.93/1.83 % (2076391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.93/1.83 % (2076391)CaDiCaL version: 2.1.3
% 8.93/1.83 % (2076391)Termination reason: Instruction limit
% 8.93/1.83 % (2076391)Termination phase: Saturation
% 8.93/1.83 % (2076391)Time elapsed: 0.088 s
% 8.93/1.83 % (2076391)Peak memory usage: 12 MB
% 8.93/1.83 % (2076391)Instructions burned: 88 (million)
% 8.93/1.83 % (2076390)Instruction limit reached!
% 8.93/1.83 % (2076390)------------------------------
% 8.93/1.83 % (2076390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/1.93 % (2076390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/1.93 % (2076390)CaDiCaL version: 2.1.3
% 9.84/1.93 % (2076390)Termination reason: Instruction limit
% 9.84/1.93 % (2076390)Termination phase: Saturation
% 9.84/1.93 % (2076390)Time elapsed: 0.123 s
% 9.84/1.93 % (2076390)Peak memory usage: 12 MB
% 9.84/1.93 % (2076390)Instructions burned: 137 (million)
% 9.84/1.93 % (2076395)Instruction limit reached!
% 9.84/1.93 % (2076395)------------------------------
% 9.84/1.93 % (2076395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/1.93 % (2076395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/1.93 % (2076395)CaDiCaL version: 2.1.3
% 9.84/1.93 % (2076395)Termination reason: Instruction limit
% 9.84/1.93 % (2076395)Termination phase: Saturation
% 9.84/1.93 % (2076395)Time elapsed: 0.097 s
% 9.84/1.93 % (2076395)Peak memory usage: 12 MB
% 9.84/1.93 % (2076395)Instructions burned: 242 (million)
% 9.84/1.93 % (2076403)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=1192534593:i=355:av=off:fsr=off:rtra=on:ixr=off_2987 on theBenchmark for (2987ds/355Mi)
% 9.84/1.93 % (2076404)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=601368732:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2987 on theBenchmark for (2987ds/314Mi)
% 9.84/1.93 % (2076402)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 9.84/1.93 % (2076404)Refutation not found, incomplete strategy
% 9.84/1.93 % (2076404)------------------------------
% 9.84/1.93 % (2076404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/1.93 % (2076404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/1.93 % (2076404)CaDiCaL version: 2.1.3
% 9.84/1.93 % (2076404)Termination reason: Refutation not found, incomplete strategy
% 9.84/1.93 % (2076404)Time elapsed: 0.001 s
% 9.84/1.93 % (2076404)Peak memory usage: 11 MB
% 9.84/1.93 % (2076404)------------------------------
% 9.84/1.93 % (2076404)------------------------------
% 9.84/1.93 % (2076402)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=616262647:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2987 on theBenchmark for (2987ds/391Mi)
% 9.84/1.93 % (2076402)Refutation not found, incomplete strategy
% 9.84/1.93 % (2076402)------------------------------
% 9.84/1.93 % (2076402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/1.93 % (2076402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/1.93 % (2076402)CaDiCaL version: 2.1.3
% 9.84/1.93 % (2076402)Termination reason: Refutation not found, incomplete strategy
% 9.84/1.93 % (2076402)Time elapsed: 0.001 s
% 9.84/1.93 % (2076402)Peak memory usage: 11 MB
% 9.84/1.93 % (2076402)Instructions burned: 1 (million)
% 9.84/1.93 % (2076402)------------------------------
% 9.84/1.93 % (2076402)------------------------------
% 9.84/1.93 % (2076407)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=2292571223:s2a=on:i=251:fsr=off:rtra=on_2987 on theBenchmark for (2987ds/251Mi)
% 9.84/1.93 % (2076409)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=2508295375: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_2987 on theBenchmark for (2987ds/2470Mi)
% 9.84/1.93 % (2076407)Instruction limit reached!
% 9.84/1.93 % (2076407)------------------------------
% 9.84/1.93 % (2076407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/1.93 % (2076407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/1.93 % (2076407)CaDiCaL version: 2.1.3
% 9.84/1.93 % (2076407)Termination reason: Instruction limit
% 9.84/1.93 % (2076407)Termination phase: Saturation
% 9.84/1.93 % (2076407)Time elapsed: 0.122 s
% 9.84/1.93 % (2076407)Peak memory usage: 12 MB
% 9.84/1.93 % (2076407)Instructions burned: 251 (million)
% 9.84/1.93 % (2076403)Instruction limit reached!
% 9.84/1.93 % (2076403)------------------------------
% 9.84/1.93 % (2076403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/1.93 % (2076403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.03 % (2076403)CaDiCaL version: 2.1.3
% 9.84/2.03 % (2076403)Termination reason: Instruction limit
% 9.84/2.03 % (2076403)Termination phase: Saturation
% 9.84/2.03 % (2076403)Time elapsed: 0.160 s
% 9.84/2.03 % (2076403)Peak memory usage: 12 MB
% 9.84/2.03 % (2076403)Instructions burned: 357 (million)
% 9.84/2.03 % (2076412)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=3345705836:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2986 on theBenchmark for (2986ds/673Mi)
% 9.84/2.03 % (2076413)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=598725609:i=116:ep=RSTC:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/116Mi)
% 9.84/2.03 % (2076413)Instruction limit reached!
% 9.84/2.03 % (2076413)------------------------------
% 9.84/2.03 % (2076413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/2.03 % (2076413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.03 % (2076413)CaDiCaL version: 2.1.3
% 9.84/2.03 % (2076413)Termination reason: Instruction limit
% 9.84/2.03 % (2076413)Termination phase: Saturation
% 9.84/2.03 % (2076413)Time elapsed: 0.083 s
% 9.84/2.03 % (2076413)Peak memory usage: 12 MB
% 9.84/2.03 % (2076413)Instructions burned: 117 (million)
% 9.84/2.03 % (2076416)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=52306927:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2984 on theBenchmark for (2984ds/270Mi)
% 9.84/2.03 % (2076400)Instruction limit reached!
% 9.84/2.03 % (2076400)------------------------------
% 9.84/2.03 % (2076400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/2.03 % (2076400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.03 % (2076400)CaDiCaL version: 2.1.3
% 9.84/2.03 % (2076400)Termination reason: Instruction limit
% 9.84/2.03 % (2076400)Termination phase: Saturation
% 9.84/2.03 % (2076400)Time elapsed: 0.378 s
% 9.84/2.03 % (2076400)Peak memory usage: 13 MB
% 9.84/2.03 % (2076400)Instructions burned: 808 (million)
% 9.84/2.03 % (2076394)Instruction limit reached!
% 9.84/2.03 % (2076394)------------------------------
% 9.84/2.03 % (2076394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/2.03 % (2076394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.03 % (2076394)CaDiCaL version: 2.1.3
% 9.84/2.03 % (2076394)Termination reason: Instruction limit
% 9.84/2.03 % (2076394)Termination phase: Saturation
% 9.84/2.03 % (2076394)Time elapsed: 0.452 s
% 9.84/2.03 % (2076394)Peak memory usage: 13 MB
% 9.84/2.03 % (2076394)Instructions burned: 2202 (million)
% 9.84/2.03 % (2076419)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 9.84/2.03 % (2076419)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=918335947:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2984 on theBenchmark for (2984ds/39Mi)
% 9.84/2.03 % (2076418)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=2108790399:hsq=on:hsqr=16,1:s2a=on:i=30:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2984 on theBenchmark for (2984ds/30Mi)
% 9.84/2.03 % (2076419)Instruction limit reached!
% 9.84/2.03 % (2076419)------------------------------
% 9.84/2.03 % (2076419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/2.03 % (2076419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.03 % (2076419)CaDiCaL version: 2.1.3
% 9.84/2.03 % (2076419)Termination reason: Instruction limit
% 9.84/2.03 % (2076419)Termination phase: Saturation
% 9.84/2.03 % (2076419)Time elapsed: 0.011 s
% 9.84/2.03 % (2076419)Peak memory usage: 12 MB
% 9.84/2.03 % (2076419)Instructions burned: 39 (million)
% 9.84/2.03 % (2076418)Instruction limit reached!
% 9.84/2.03 % (2076418)------------------------------
% 9.84/2.03 % (2076418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.84/2.03 % (2076418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.84/2.03 % (2076418)CaDiCaL version: 2.1.3
% 9.84/2.03 % (2076418)Termination reason: Instruction limit
% 9.84/2.03 % (2076418)Termination phase: Saturation
% 9.84/2.03 % (2076418)Time elapsed: 0.015 s
% 9.84/2.03 % (2076418)Peak memory usage: 12 MB
% 9.84/2.03 % (2076418)Instructions burned: 33 (million)
% 9.84/2.03 % (2076422)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=671489308:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2984 on theBenchmark for (2984ds/365Mi)
% 12.35/2.17 % (2076423)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3965875905:i=158:av=off:rtra=on_2983 on theBenchmark for (2983ds/158Mi)
% 12.35/2.17 % (2076351)Instruction limit reached!
% 12.35/2.17 % (2076351)------------------------------
% 12.35/2.17 % (2076351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.35/2.17 % (2076351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.17 % (2076351)CaDiCaL version: 2.1.3
% 12.35/2.17 % (2076351)Termination reason: Instruction limit
% 12.35/2.17 % (2076351)Termination phase: Saturation
% 12.35/2.17 % (2076351)Time elapsed: 0.804 s
% 12.35/2.17 % (2076351)Peak memory usage: 12 MB
% 12.35/2.17 % (2076351)Instructions burned: 1441 (million)
% 12.35/2.17 % (2076426)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
% 12.35/2.17 % (2076426)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=1392637439:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/252Mi)
% 12.35/2.17 % (2076422)Instruction limit reached!
% 12.35/2.17 % (2076422)------------------------------
% 12.35/2.17 % (2076422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.35/2.17 % (2076422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.17 % (2076422)CaDiCaL version: 2.1.3
% 12.35/2.17 % (2076422)Termination reason: Instruction limit
% 12.35/2.17 % (2076422)Termination phase: Saturation
% 12.35/2.17 % (2076422)Time elapsed: 0.070 s
% 12.35/2.17 % (2076422)Peak memory usage: 13 MB
% 12.35/2.17 % (2076422)Instructions burned: 367 (million)
% 12.35/2.17 % (2076428)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=1586974392:i=213:rtra=on:ss=axioms_2983 on theBenchmark for (2983ds/213Mi)
% 12.35/2.17 % (2076428)Refutation not found, incomplete strategy
% 12.35/2.17 % (2076428)------------------------------
% 12.35/2.17 % (2076428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.35/2.17 % (2076428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.17 % (2076428)CaDiCaL version: 2.1.3
% 12.35/2.17 % (2076428)Termination reason: Refutation not found, incomplete strategy
% 12.35/2.17 % (2076428)Time elapsed: 0.0000 s
% 12.35/2.17 % (2076428)Peak memory usage: 11 MB
% 12.35/2.17 % (2076428)------------------------------
% 12.35/2.17 % (2076428)------------------------------
% 12.35/2.17 % (2076423)Instruction limit reached!
% 12.35/2.17 % (2076423)------------------------------
% 12.35/2.17 % (2076423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.35/2.17 % (2076423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.17 % (2076423)CaDiCaL version: 2.1.3
% 12.35/2.17 % (2076423)Termination reason: Instruction limit
% 12.35/2.17 % (2076423)Termination phase: Saturation
% 12.35/2.17 % (2076423)Time elapsed: 0.065 s
% 12.35/2.17 % (2076423)Peak memory usage: 12 MB
% 12.35/2.17 % (2076423)Instructions burned: 159 (million)
% 12.35/2.17 % (2076412)Instruction limit reached!
% 12.35/2.17 % (2076412)------------------------------
% 12.35/2.17 % (2076412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.35/2.17 % (2076412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.17 % (2076412)CaDiCaL version: 2.1.3
% 12.35/2.17 % (2076412)Termination reason: Instruction limit
% 12.35/2.17 % (2076412)Termination phase: Saturation
% 12.35/2.17 % (2076412)Time elapsed: 0.279 s
% 12.35/2.17 % (2076412)Peak memory usage: 12 MB
% 12.35/2.17 % (2076412)Instructions burned: 674 (million)
% 12.35/2.17 % (2076430)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=3882699911:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2983 on theBenchmark for (2983ds/160Mi)
% 12.35/2.17 % (2076430)Refutation not found, incomplete strategy
% 12.35/2.17 % (2076430)------------------------------
% 12.35/2.17 % (2076430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.35/2.17 % (2076430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.35/2.17 % (2076430)CaDiCaL version: 2.1.3
% 12.71/2.22 % (2076430)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.22 % (2076430)Time elapsed: 0.0000 s
% 12.71/2.22 % (2076430)Peak memory usage: 11 MB
% 12.71/2.22 % (2076430)Instructions burned: 1 (million)
% 12.71/2.22 % (2076430)------------------------------
% 12.71/2.22 % (2076430)------------------------------
% 12.71/2.22 % (2076431)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=224976167:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/763Mi)
% 12.71/2.22 % (2076434)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=1708019391:s2a=on:i=386:rtra=on:ntd=on_2983 on theBenchmark for (2983ds/386Mi)
% 12.71/2.22 % (2076432)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 12.71/2.22 % (2076432)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=4143054367:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2983 on theBenchmark for (2983ds/237Mi)
% 12.71/2.22 % (2076432)Refutation not found, incomplete strategy
% 12.71/2.22 % (2076432)------------------------------
% 12.71/2.22 % (2076432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.71/2.22 % (2076432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.22 % (2076432)CaDiCaL version: 2.1.3
% 12.71/2.22 % (2076432)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.22 % (2076432)Time elapsed: 0.0000 s
% 12.71/2.22 % (2076432)Peak memory usage: 11 MB
% 12.71/2.22 % (2076432)------------------------------
% 12.71/2.22 % (2076432)------------------------------
% 12.71/2.22 % (2076438)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=630183671:i=300:piset=and:nm=32:rtra=on_2982 on theBenchmark for (2982ds/300Mi)
% 12.71/2.22 % (2076416)Instruction limit reached!
% 12.71/2.22 % (2076416)------------------------------
% 12.71/2.22 % (2076416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.71/2.22 % (2076416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.22 % (2076416)CaDiCaL version: 2.1.3
% 12.71/2.22 % (2076416)Termination reason: Instruction limit
% 12.71/2.22 % (2076416)Termination phase: Saturation
% 12.71/2.22 % (2076416)Time elapsed: 0.195 s
% 12.71/2.22 % (2076416)Peak memory usage: 12 MB
% 12.71/2.22 % (2076416)Instructions burned: 270 (million)
% 12.71/2.22 % (2076440)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=2545082582:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/567Mi)
% 12.71/2.22 % (2076440)Refutation not found, incomplete strategy
% 12.71/2.22 % (2076440)------------------------------
% 12.71/2.22 % (2076440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.71/2.22 % (2076440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.22 % (2076440)CaDiCaL version: 2.1.3
% 12.71/2.22 % (2076440)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.22 % (2076440)Time elapsed: 0.001 s
% 12.71/2.22 % (2076440)Peak memory usage: 11 MB
% 12.71/2.22 % (2076440)Instructions burned: 1 (million)
% 12.71/2.22 % (2076440)------------------------------
% 12.71/2.22 % (2076440)------------------------------
% 12.71/2.22 % (2076442)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1979842950:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2982 on theBenchmark for (2982ds/379Mi)
% 12.71/2.22 % (2076442)Refutation not found, incomplete strategy
% 12.71/2.22 % (2076442)------------------------------
% 12.71/2.22 % (2076442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.71/2.22 % (2076442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.22 % (2076442)CaDiCaL version: 2.1.3
% 12.71/2.22 % (2076442)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.22 % (2076442)Time elapsed: 0.001 s
% 12.71/2.22 % (2076442)Peak memory usage: 11 MB
% 12.71/2.22 % (2076442)------------------------------
% 12.71/2.22 % (2076442)------------------------------
% 12.71/2.22 % (2076426)Instruction limit reached!
% 12.71/2.22 % (2076426)------------------------------
% 12.71/2.22 % (2076426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.71/2.22 % (2076426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.22 % (2076426)CaDiCaL version: 2.1.3
% 12.71/2.30 % (2076426)Termination reason: Instruction limit
% 12.71/2.30 % (2076426)Termination phase: Saturation
% 12.71/2.30 % (2076426)Time elapsed: 0.155 s
% 12.71/2.30 % (2076426)Peak memory usage: 12 MB
% 12.71/2.30 % (2076426)Instructions burned: 252 (million)
% 12.71/2.30 % (2076434)Instruction limit reached!
% 12.71/2.30 % (2076434)------------------------------
% 12.71/2.30 % (2076434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.71/2.30 % (2076434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.30 % (2076434)CaDiCaL version: 2.1.3
% 12.71/2.30 % (2076434)Termination reason: Instruction limit
% 12.71/2.30 % (2076434)Termination phase: Saturation
% 12.71/2.30 % (2076434)Time elapsed: 0.099 s
% 12.71/2.30 % (2076434)Peak memory usage: 12 MB
% 12.71/2.30 % (2076434)Instructions burned: 407 (million)
% 12.71/2.30 % (2076444)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2064149348:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2982 on theBenchmark for (2982ds/429Mi)
% 12.71/2.30 % (2076446)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2317353764:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2981 on theBenchmark for (2981ds/445Mi)
% 12.71/2.30 % (2076445)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3490891370:i=478:bd=all:rtra=on_2981 on theBenchmark for (2981ds/478Mi)
% 12.71/2.30 % (2076445)Refutation not found, incomplete strategy
% 12.71/2.30 % (2076445)------------------------------
% 12.71/2.30 % (2076445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.71/2.30 % (2076445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.30 % (2076445)CaDiCaL version: 2.1.3
% 12.71/2.30 % (2076445)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.30 % (2076445)Time elapsed: 0.005 s
% 12.71/2.30 % (2076445)Peak memory usage: 12 MB
% 12.71/2.30 % (2076445)Instructions burned: 1 (million)
% 12.71/2.30 % (2076445)------------------------------
% 12.71/2.30 % (2076445)------------------------------
% 12.71/2.30 % (2076450)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1235600526:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2981 on theBenchmark for (2981ds/71Mi)
% 12.71/2.30 % (2076450)Instruction limit reached!
% 12.71/2.30 % (2076450)------------------------------
% 12.71/2.30 % (2076450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.71/2.30 % (2076450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.30 % (2076450)CaDiCaL version: 2.1.3
% 12.71/2.30 % (2076450)Termination reason: Instruction limit
% 12.71/2.30 % (2076450)Termination phase: Saturation
% 12.71/2.30 % (2076450)Time elapsed: 0.037 s
% 12.71/2.30 % (2076450)Peak memory usage: 12 MB
% 12.71/2.30 % (2076450)Instructions burned: 72 (million)
% 12.71/2.30 % (2076452)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2101675874:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/302Mi)
% 12.71/2.30 % (2076452)Refutation not found, incomplete strategy
% 12.71/2.30 % (2076452)------------------------------
% 12.71/2.30 % (2076452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.71/2.30 % (2076452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.30 % (2076452)CaDiCaL version: 2.1.3
% 12.71/2.30 % (2076452)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.30 % (2076452)Time elapsed: 0.001 s
% 12.71/2.30 % (2076452)Peak memory usage: 11 MB
% 12.71/2.30 % (2076452)------------------------------
% 12.71/2.30 % (2076452)------------------------------
% 12.71/2.30 % (2076446)Instruction limit reached!
% 12.71/2.30 % (2076446)------------------------------
% 12.71/2.30 % (2076446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.71/2.30 % (2076446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.30 % (2076446)CaDiCaL version: 2.1.3
% 12.71/2.30 % (2076446)Termination reason: Instruction limit
% 12.71/2.30 % (2076446)Termination phase: Saturation
% 12.71/2.30 % (2076446)Time elapsed: 0.116 s
% 12.71/2.30 % (2076446)Peak memory usage: 14 MB
% 12.71/2.30 % (2076446)Instructions burned: 449 (million)
% 12.71/2.30 % (2076438)Instruction limit reached!
% 12.71/2.30 % (2076438)------------------------------
% 12.71/2.30 % (2076438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.71/2.30 % (2076438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.96/2.58 % (2076438)CaDiCaL version: 2.1.3
% 13.96/2.58 % (2076438)Termination reason: Instruction limit
% 13.96/2.58 % (2076438)Termination phase: Saturation
% 13.96/2.58 % (2076438)Time elapsed: 0.205 s
% 13.96/2.58 % (2076438)Peak memory usage: 12 MB
% 13.96/2.58 % (2076438)Instructions burned: 301 (million)
% 13.96/2.58 % (2076455)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
% 13.96/2.58 % (2076455)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 13.96/2.58 % (2076455)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1501056010:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2980 on theBenchmark for (2980ds/100Mi)
% 13.96/2.58 % (2076456)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=3338768953:i=76:piset=equals:rtra=on:ntd=on_2980 on theBenchmark for (2980ds/76Mi)
% 13.96/2.58 % (2076454)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=4129959291:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2980 on theBenchmark for (2980ds/4980Mi)
% 13.96/2.58 % (2076454)Refutation not found, incomplete strategy
% 13.96/2.58 % (2076454)------------------------------
% 13.96/2.58 % (2076454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.96/2.58 % (2076454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.96/2.58 % (2076454)CaDiCaL version: 2.1.3
% 13.96/2.58 % (2076454)Termination reason: Refutation not found, incomplete strategy
% 13.96/2.58 % (2076454)Time elapsed: 0.001 s
% 13.96/2.58 % (2076454)Peak memory usage: 11 MB
% 13.96/2.58 % (2076454)------------------------------
% 13.96/2.58 % (2076454)------------------------------
% 13.96/2.58 % (2076431)Instruction limit reached!
% 13.96/2.58 % (2076431)------------------------------
% 13.96/2.58 % (2076431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.96/2.58 % (2076431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.96/2.58 % (2076431)CaDiCaL version: 2.1.3
% 13.96/2.58 % (2076431)Termination reason: Instruction limit
% 13.96/2.58 % (2076431)Termination phase: Saturation
% 13.96/2.58 % (2076431)Time elapsed: 0.264 s
% 13.96/2.58 % (2076431)Peak memory usage: 13 MB
% 13.96/2.58 % (2076431)Instructions burned: 763 (million)
% 13.96/2.58 % (2076456)Instruction limit reached!
% 13.96/2.58 % (2076456)------------------------------
% 13.96/2.58 % (2076456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.96/2.58 % (2076456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.96/2.58 % (2076456)CaDiCaL version: 2.1.3
% 13.96/2.58 % (2076456)Termination reason: Instruction limit
% 13.96/2.58 % (2076456)Termination phase: Saturation
% 13.96/2.58 % (2076456)Time elapsed: 0.020 s
% 13.96/2.58 % (2076456)Peak memory usage: 12 MB
% 13.96/2.58 % (2076456)Instructions burned: 77 (million)
% 13.96/2.58 % (2076462)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=536584803:cond=on:i=34:hud=10:nm=10:rtra=on_2980 on theBenchmark for (2980ds/34Mi)
% 13.96/2.58 % (2076461)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=1704419695:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2980 on theBenchmark for (2980ds/493Mi)
% 13.96/2.58 % (2076460)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=2449827989:i=289:rtra=on_2980 on theBenchmark for (2980ds/289Mi)
% 13.96/2.58 % (2076460)Refutation not found, incomplete strategy
% 13.96/2.58 % (2076460)------------------------------
% 13.96/2.58 % (2076460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.96/2.58 % (2076460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.96/2.58 % (2076460)CaDiCaL version: 2.1.3
% 13.96/2.58 % (2076460)Termination reason: Refutation not found, incomplete strategy
% 13.96/2.58 % (2076460)Time elapsed: 0.0000 s
% 13.96/2.58 % (2076460)Peak memory usage: 11 MB
% 13.96/2.58 % (2076460)Instructions burned: 1 (million)
% 13.96/2.58 % (2076460)------------------------------
% 13.96/2.58 % (2076460)------------------------------
% 14.49/2.64 % (2076462)Instruction limit reached!
% 14.49/2.64 % (2076462)------------------------------
% 14.49/2.64 % (2076462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.49/2.64 % (2076462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.64 % (2076462)CaDiCaL version: 2.1.3
% 14.49/2.64 % (2076462)Termination reason: Instruction limit
% 14.49/2.64 % (2076462)Termination phase: Saturation
% 14.49/2.64 % (2076462)Time elapsed: 0.012 s
% 14.49/2.64 % (2076462)Peak memory usage: 12 MB
% 14.49/2.64 % (2076462)Instructions burned: 39 (million)
% 14.49/2.64 % (2076455)Instruction limit reached!
% 14.49/2.64 % (2076455)------------------------------
% 14.49/2.64 % (2076455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.49/2.64 % (2076455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.64 % (2076455)CaDiCaL version: 2.1.3
% 14.49/2.64 % (2076455)Termination reason: Instruction limit
% 14.49/2.64 % (2076455)Termination phase: Saturation
% 14.49/2.64 % (2076455)Time elapsed: 0.047 s
% 14.49/2.64 % (2076455)Peak memory usage: 12 MB
% 14.49/2.64 % (2076455)Instructions burned: 101 (million)
% 14.49/2.64 % (2076467)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=3080922314:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2980 on theBenchmark for (2980ds/670Mi)
% 14.49/2.64 % (2076468)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2728321796:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/647Mi)
% 14.49/2.64 % (2076468)Refutation not found, incomplete strategy
% 14.49/2.64 % (2076468)------------------------------
% 14.49/2.64 % (2076468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.49/2.64 % (2076468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.64 % (2076468)CaDiCaL version: 2.1.3
% 14.49/2.64 % (2076468)Termination reason: Refutation not found, incomplete strategy
% 14.49/2.64 % (2076468)Time elapsed: 0.001 s
% 14.49/2.64 % (2076468)Peak memory usage: 11 MB
% 14.49/2.64 % (2076468)------------------------------
% 14.49/2.64 % (2076468)------------------------------
% 14.49/2.64 % (2076466)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 14.49/2.64 % (2076466)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=1149604282:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2980 on theBenchmark for (2980ds/372Mi)
% 14.49/2.64 % (2076466)Refutation not found, incomplete strategy
% 14.49/2.64 % (2076466)------------------------------
% 14.49/2.64 % (2076466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.49/2.64 % (2076466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.64 % (2076466)CaDiCaL version: 2.1.3
% 14.49/2.64 % (2076466)Termination reason: Refutation not found, incomplete strategy
% 14.49/2.64 % (2076466)Time elapsed: 0.002 s
% 14.49/2.64 % (2076466)Peak memory usage: 11 MB
% 14.49/2.64 % (2076466)Instructions burned: 2 (million)
% 14.49/2.64 % (2076466)------------------------------
% 14.49/2.64 % (2076466)------------------------------
% 14.49/2.64 % (2076471)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=835118229:i=857:add=off:kws=frequency:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/857Mi)
% 14.49/2.64 % (2076444)Instruction limit reached!
% 14.49/2.64 % (2076444)------------------------------
% 14.49/2.64 % (2076444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.49/2.64 % (2076444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.49/2.64 % (2076444)CaDiCaL version: 2.1.3
% 14.49/2.64 % (2076444)Termination reason: Instruction limit
% 14.49/2.64 % (2076444)Termination phase: Saturation
% 14.49/2.64 % (2076444)Time elapsed: 0.236 s
% 14.49/2.64 % (2076444)Peak memory usage: 13 MB
% 14.49/2.64 % (2076444)Instructions burned: 430 (million)
% 14.49/2.64 % (2076475)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=2385338415:i=285:hud=10:bd=all:rtra=on:ss=axioms_2979 on theBenchmark for (2979ds/285Mi)
% 14.49/2.64 % (2076475)Refutation not found, incomplete strategy
% 14.49/2.64 % (2076475)------------------------------
% 14.49/2.64 % (2076475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.31/2.76 % (2076475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.31/2.76 % (2076475)CaDiCaL version: 2.1.3
% 15.31/2.76 % (2076475)Termination reason: Refutation not found, incomplete strategy
% 15.31/2.76 % (2076475)Time elapsed: 0.001 s
% 15.31/2.76 % (2076475)Peak memory usage: 11 MB
% 15.31/2.76 % (2076475)Instructions burned: 1 (million)
% 15.31/2.76 % (2076475)------------------------------
% 15.31/2.76 % (2076475)------------------------------
% 15.31/2.76 % (2076474)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=2438578927:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2979 on theBenchmark for (2979ds/693Mi)
% 15.31/2.76 % (2076477)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 15.31/2.76 % (2076477)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=1215491379:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2979 on theBenchmark for (2979ds/52Mi)
% 15.31/2.76 % (2076477)Instruction limit reached!
% 15.31/2.76 % (2076477)------------------------------
% 15.31/2.76 % (2076477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.31/2.76 % (2076477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.31/2.76 % (2076477)CaDiCaL version: 2.1.3
% 15.31/2.76 % (2076477)Termination reason: Instruction limit
% 15.31/2.76 % (2076477)Termination phase: Saturation
% 15.31/2.76 % (2076477)Time elapsed: 0.021 s
% 15.31/2.76 % (2076477)Peak memory usage: 12 MB
% 15.31/2.76 % (2076477)Instructions burned: 52 (million)
% 15.31/2.76 % (2076480)dis+10_1_si=on:random_seed=3593251584:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2978 on theBenchmark for (2978ds/407Mi)
% 15.31/2.76 % (2076480)Refutation not found, incomplete strategy
% 15.31/2.76 % (2076480)------------------------------
% 15.31/2.76 % (2076480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.31/2.76 % (2076480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.31/2.76 % (2076480)CaDiCaL version: 2.1.3
% 15.31/2.76 % (2076480)Termination reason: Refutation not found, incomplete strategy
% 15.31/2.76 % (2076480)Time elapsed: 0.001 s
% 15.31/2.76 % (2076480)Peak memory usage: 11 MB
% 15.31/2.76 % (2076480)------------------------------
% 15.31/2.76 % (2076480)------------------------------
% 15.31/2.76 % (2076467)Instruction limit reached!
% 15.31/2.76 % (2076467)------------------------------
% 15.31/2.76 % (2076467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.31/2.76 % (2076467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.31/2.76 % (2076467)CaDiCaL version: 2.1.3
% 15.31/2.76 % (2076467)Termination reason: Instruction limit
% 15.31/2.76 % (2076467)Termination phase: Saturation
% 15.31/2.76 % (2076467)Time elapsed: 0.129 s
% 15.31/2.76 % (2076467)Peak memory usage: 12 MB
% 15.31/2.76 % (2076467)Instructions burned: 671 (million)
% 15.31/2.76 % (2076483)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3254176276:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2978 on theBenchmark for (2978ds/336Mi)
% 15.31/2.76 % (2076483)Refutation not found, incomplete strategy
% 15.31/2.76 % (2076483)------------------------------
% 15.31/2.76 % (2076483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.31/2.76 % (2076483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.31/2.76 % (2076483)CaDiCaL version: 2.1.3
% 15.31/2.76 % (2076483)Termination reason: Refutation not found, incomplete strategy
% 15.31/2.76 % (2076483)Time elapsed: 0.0000 s
% 15.31/2.76 % (2076483)Peak memory usage: 11 MB
% 15.31/2.76 % (2076483)------------------------------
% 15.31/2.76 % (2076483)------------------------------
% 15.31/2.76 % (2076482)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=50766556:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/2240Mi)
% 15.31/2.76 % (2076485)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=348903176:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2978 on theBenchmark for (2978ds/1142Mi)
% 15.31/2.76 % (2076471)Instruction limit reached!
% 15.31/2.76 % (2076471)------------------------------
% 15.31/2.76 % (2076471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.98 % (2076471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.98 % (2076471)CaDiCaL version: 2.1.3
% 16.13/2.98 % (2076471)Termination reason: Instruction limit
% 16.13/2.98 % (2076471)Termination phase: Saturation
% 16.13/2.98 % (2076471)Time elapsed: 0.313 s
% 16.13/2.98 % (2076471)Peak memory usage: 12 MB
% 16.13/2.98 % (2076471)Instructions burned: 859 (million)
% 16.13/2.98 % (2076488)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=4178393248:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2976 on theBenchmark for (2976ds/376Mi)
% 16.13/2.98 % (2076488)Refutation not found, incomplete strategy
% 16.13/2.98 % (2076488)------------------------------
% 16.13/2.98 % (2076488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.98 % (2076488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.98 % (2076488)CaDiCaL version: 2.1.3
% 16.13/2.98 % (2076488)Termination reason: Refutation not found, incomplete strategy
% 16.13/2.98 % (2076488)Time elapsed: 0.001 s
% 16.13/2.98 % (2076488)Peak memory usage: 11 MB
% 16.13/2.98 % (2076488)------------------------------
% 16.13/2.98 % (2076488)------------------------------
% 16.13/2.98 % (2076461)Instruction limit reached!
% 16.13/2.98 % (2076461)------------------------------
% 16.13/2.98 % (2076461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.98 % (2076461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.98 % (2076461)CaDiCaL version: 2.1.3
% 16.13/2.98 % (2076461)Termination reason: Instruction limit
% 16.13/2.98 % (2076461)Termination phase: Saturation
% 16.13/2.98 % (2076461)Time elapsed: 0.394 s
% 16.13/2.98 % (2076461)Peak memory usage: 13 MB
% 16.13/2.98 % (2076461)Instructions burned: 496 (million)
% 16.13/2.98 % (2076490)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=2155674451:i=766:bd=all:rtra=on_2976 on theBenchmark for (2976ds/766Mi)
% 16.13/2.98 % (2076490)Refutation not found, incomplete strategy
% 16.13/2.98 % (2076490)------------------------------
% 16.13/2.98 % (2076490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.98 % (2076490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.98 % (2076490)CaDiCaL version: 2.1.3
% 16.13/2.98 % (2076490)Termination reason: Refutation not found, incomplete strategy
% 16.13/2.98 % (2076490)Time elapsed: 0.001 s
% 16.13/2.98 % (2076490)Peak memory usage: 12 MB
% 16.13/2.98 % (2076490)Instructions burned: 1 (million)
% 16.13/2.98 % (2076485)Instruction limit reached!
% 16.13/2.98 % (2076485)------------------------------
% 16.13/2.98 % (2076485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.98 % (2076485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.98 % (2076485)CaDiCaL version: 2.1.3
% 16.13/2.98 % (2076485)Termination reason: Instruction limit
% 16.13/2.98 % (2076485)Termination phase: Saturation
% 16.13/2.98 % (2076485)Time elapsed: 0.238 s
% 16.13/2.98 % (2076485)Peak memory usage: 14 MB
% 16.13/2.98 % (2076485)Instructions burned: 1146 (million)
% 16.13/2.98 % (2076490)------------------------------
% 16.13/2.98 % (2076490)------------------------------
% 16.13/2.98 % (2076491)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 16.13/2.98 % (2076491)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=1787572300: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_2976 on theBenchmark for (2976ds/959Mi)
% 16.13/2.98 % (2076491)Refutation not found, incomplete strategy
% 16.13/2.98 % (2076491)------------------------------
% 16.13/2.98 % (2076491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.13/2.98 % (2076491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/2.98 % (2076491)CaDiCaL version: 2.1.3
% 16.13/2.98 % (2076491)Termination reason: Refutation not found, incomplete strategy
% 16.13/2.98 % (2076491)Time elapsed: 0.001 s
% 16.13/2.98 % (2076491)Peak memory usage: 11 MB
% 16.13/2.98 % (2076491)------------------------------
% 16.13/2.98 % (2076491)------------------------------
% 16.13/2.98 % (2076493)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=1228659192:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2976 on theBenchmark for (2976ds/6359Mi)
% 16.13/2.98 % (2076494)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2682424997:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2976 on theBenchmark for (2976ds/35Mi)
% 18.64/3.10 % (2076494)Refutation not found, incomplete strategy
% 18.64/3.10 % (2076494)------------------------------
% 18.64/3.10 % (2076494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.64/3.10 % (2076494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.10 % (2076494)CaDiCaL version: 2.1.3
% 18.64/3.10 % (2076494)Termination reason: Refutation not found, incomplete strategy
% 18.64/3.10 % (2076494)Time elapsed: 0.0000 s
% 18.64/3.10 % (2076494)Peak memory usage: 11 MB
% 18.64/3.10 % (2076494)------------------------------
% 18.64/3.10 % (2076494)------------------------------
% 18.64/3.10 % (2076496)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=1900993641:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2975 on theBenchmark for (2975ds/53Mi)
% 18.64/3.10 % (2076499)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3702535823:s2a=on:i=876:s2at=6:nm=2:rtra=on_2975 on theBenchmark for (2975ds/876Mi)
% 18.64/3.10 % (2076496)Instruction limit reached!
% 18.64/3.10 % (2076496)------------------------------
% 18.64/3.10 % (2076496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.64/3.10 % (2076496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.10 % (2076496)CaDiCaL version: 2.1.3
% 18.64/3.10 % (2076496)Termination reason: Instruction limit
% 18.64/3.10 % (2076496)Termination phase: Saturation
% 18.64/3.10 % (2076496)Time elapsed: 0.029 s
% 18.64/3.10 % (2076496)Peak memory usage: 12 MB
% 18.64/3.10 % (2076496)Instructions burned: 55 (million)
% 18.64/3.10 % (2076502)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3525567166:i=57:ep=R:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/57Mi)
% 18.64/3.10 % (2076502)Instruction limit reached!
% 18.64/3.10 % (2076502)------------------------------
% 18.64/3.10 % (2076502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.64/3.10 % (2076502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.10 % (2076502)CaDiCaL version: 2.1.3
% 18.64/3.10 % (2076502)Termination reason: Instruction limit
% 18.64/3.10 % (2076502)Termination phase: Saturation
% 18.64/3.10 % (2076502)Time elapsed: 0.029 s
% 18.64/3.10 % (2076502)Peak memory usage: 12 MB
% 18.64/3.10 % (2076502)Instructions burned: 58 (million)
% 18.64/3.10 % (2076474)Instruction limit reached!
% 18.64/3.10 % (2076474)------------------------------
% 18.64/3.10 % (2076474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.64/3.10 % (2076474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.10 % (2076474)CaDiCaL version: 2.1.3
% 18.64/3.10 % (2076474)Termination reason: Instruction limit
% 18.64/3.10 % (2076474)Termination phase: Saturation
% 18.64/3.10 % (2076474)Time elapsed: 0.432 s
% 18.64/3.10 % (2076474)Peak memory usage: 12 MB
% 18.64/3.10 % (2076474)Instructions burned: 695 (million)
% 18.64/3.10 % (2076504)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 18.64/3.10 % (2076504)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=3547548310:i=306:bd=all:rtra=on_2974 on theBenchmark for (2974ds/306Mi)
% 18.64/3.10 % (2076504)Refutation not found, incomplete strategy
% 18.64/3.10 % (2076504)------------------------------
% 18.64/3.10 % (2076504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.64/3.10 % (2076504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.64/3.10 % (2076504)CaDiCaL version: 2.1.3
% 18.64/3.10 % (2076504)Termination reason: Refutation not found, incomplete strategy
% 18.64/3.10 % (2076504)Time elapsed: 0.001 s
% 18.64/3.10 % (2076504)Peak memory usage: 11 MB
% 18.64/3.10 % (2076504)Instructions burned: 1 (million)
% 18.64/3.10 % (2076504)------------------------------
% 18.64/3.10 % (2076504)------------------------------
% 18.64/3.10 % (2076505)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=3342254287:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/262Mi)
% 18.64/3.10 % (2076505)Refutation not found, incomplete strategy
% 18.64/3.10 % (2076505)------------------------------
% 18.64/3.10 % (2076505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.24/3.22 % (2076505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/3.22 % (2076505)CaDiCaL version: 2.1.3
% 19.24/3.22 % (2076505)Termination reason: Refutation not found, incomplete strategy
% 19.24/3.22 % (2076505)Time elapsed: 0.001 s
% 19.24/3.22 % (2076505)Peak memory usage: 11 MB
% 19.24/3.22 % (2076505)------------------------------
% 19.24/3.22 % (2076505)------------------------------
% 19.24/3.22 % (2076507)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 19.24/3.22 % (2076507)ott+1002_16_sil=128000:si=on:random_seed=1259318289:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/409Mi)
% 19.24/3.22 % (2076509)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=1042812361:s2a=on:i=381:rtra=on_2974 on theBenchmark for (2974ds/381Mi)
% 19.24/3.22 % (2076409)Instruction limit reached!
% 19.24/3.22 % (2076409)------------------------------
% 19.24/3.22 % (2076409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.24/3.22 % (2076409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/3.22 % (2076409)CaDiCaL version: 2.1.3
% 19.24/3.22 % (2076409)Termination reason: Instruction limit
% 19.24/3.22 % (2076409)Termination phase: Saturation
% 19.24/3.22 % (2076409)Time elapsed: 1.363 s
% 19.24/3.22 % (2076409)Peak memory usage: 15 MB
% 19.24/3.22 % (2076409)Instructions burned: 2474 (million)
% 19.24/3.22 % (2076512)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1402902666:cond=on:i=324:rtra=on:ntd=on_2973 on theBenchmark for (2973ds/324Mi)
% 19.24/3.22 % (2076507)Instruction limit reached!
% 19.24/3.22 % (2076507)------------------------------
% 19.24/3.22 % (2076507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.24/3.22 % (2076507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/3.22 % (2076507)CaDiCaL version: 2.1.3
% 19.24/3.22 % (2076507)Termination reason: Instruction limit
% 19.24/3.22 % (2076507)Termination phase: Saturation
% 19.24/3.22 % (2076507)Time elapsed: 0.165 s
% 19.24/3.22 % (2076507)Peak memory usage: 13 MB
% 19.24/3.22 % (2076507)Instructions burned: 411 (million)
% 19.24/3.22 % (2076509)Instruction limit reached!
% 19.24/3.22 % (2076509)------------------------------
% 19.24/3.22 % (2076509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.24/3.22 % (2076509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/3.22 % (2076509)CaDiCaL version: 2.1.3
% 19.24/3.22 % (2076509)Termination reason: Instruction limit
% 19.24/3.22 % (2076509)Termination phase: Saturation
% 19.24/3.22 % (2076509)Time elapsed: 0.162 s
% 19.24/3.22 % (2076509)Peak memory usage: 12 MB
% 19.24/3.22 % (2076509)Instructions burned: 381 (million)
% 19.24/3.22 % (2076515)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 19.24/3.22 % (2076514)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=168580959:i=240:kws=inv_precedence:rtra=on_2972 on theBenchmark for (2972ds/240Mi)
% 19.24/3.22 % (2076514)Refutation not found, incomplete strategy
% 19.24/3.22 % (2076514)------------------------------
% 19.24/3.22 % (2076514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.24/3.22 % (2076514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/3.22 % (2076514)CaDiCaL version: 2.1.3
% 19.24/3.22 % (2076514)Termination reason: Refutation not found, incomplete strategy
% 19.24/3.22 % (2076514)Time elapsed: 0.001 s
% 19.24/3.22 % (2076514)Peak memory usage: 11 MB
% 19.24/3.22 % (2076514)Instructions burned: 1 (million)
% 19.24/3.22 % (2076514)------------------------------
% 19.24/3.22 % (2076514)------------------------------
% 19.24/3.22 % (2076515)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=44950257:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2972 on theBenchmark for (2972ds/124Mi)
% 19.24/3.22 % (2076518)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=3081885069:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2972 on theBenchmark for (2972ds/223Mi)
% 19.24/3.22 % (2076512)Instruction limit reached!
% 19.24/3.22 % (2076512)------------------------------
% 19.24/3.22 % (2076512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.24/3.22 % (2076512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.52 % (2076512)CaDiCaL version: 2.1.3
% 20.93/3.52 % (2076512)Termination reason: Instruction limit
% 20.93/3.52 % (2076512)Termination phase: Saturation
% 20.93/3.52 % (2076512)Time elapsed: 0.081 s
% 20.93/3.52 % (2076512)Peak memory usage: 12 MB
% 20.93/3.52 % (2076512)Instructions burned: 326 (million)
% 20.93/3.52 % (2076521)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=370863068:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2972 on theBenchmark for (2972ds/282Mi)
% 20.93/3.52 % (2076515)Instruction limit reached!
% 20.93/3.52 % (2076515)------------------------------
% 20.93/3.52 % (2076515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.52 % (2076515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.52 % (2076515)CaDiCaL version: 2.1.3
% 20.93/3.52 % (2076515)Termination reason: Instruction limit
% 20.93/3.52 % (2076515)Termination phase: Saturation
% 20.93/3.52 % (2076515)Time elapsed: 0.047 s
% 20.93/3.52 % (2076515)Peak memory usage: 12 MB
% 20.93/3.52 % (2076515)Instructions burned: 125 (million)
% 20.93/3.52 % (2076523)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=3506701399:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2972 on theBenchmark for (2972ds/464Mi)
% 20.93/3.52 % (2076523)Refutation not found, incomplete strategy
% 20.93/3.52 % (2076523)------------------------------
% 20.93/3.52 % (2076523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.52 % (2076523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.52 % (2076523)CaDiCaL version: 2.1.3
% 20.93/3.52 % (2076523)Termination reason: Refutation not found, incomplete strategy
% 20.93/3.52 % (2076523)Time elapsed: 0.001 s
% 20.93/3.52 % (2076523)Peak memory usage: 11 MB
% 20.93/3.52 % (2076523)Instructions burned: 1 (million)
% 20.93/3.52 % (2076523)------------------------------
% 20.93/3.52 % (2076523)------------------------------
% 20.93/3.52 % (2076527)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=2318055400:i=88:s2at=3:nm=2:rtra=on:rawr=on_2971 on theBenchmark for (2971ds/88Mi)
% 20.93/3.52 % (2076499)Instruction limit reached!
% 20.93/3.52 % (2076499)------------------------------
% 20.93/3.52 % (2076499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.52 % (2076499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.52 % (2076499)CaDiCaL version: 2.1.3
% 20.93/3.52 % (2076499)Termination reason: Instruction limit
% 20.93/3.52 % (2076499)Termination phase: Saturation
% 20.93/3.52 % (2076499)Time elapsed: 0.402 s
% 20.93/3.52 % (2076499)Peak memory usage: 13 MB
% 20.93/3.52 % (2076499)Instructions burned: 882 (million)
% 20.93/3.52 % (2076521)Instruction limit reached!
% 20.93/3.52 % (2076521)------------------------------
% 20.93/3.52 % (2076521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.52 % (2076521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.52 % (2076521)CaDiCaL version: 2.1.3
% 20.93/3.52 % (2076521)Termination reason: Instruction limit
% 20.93/3.52 % (2076521)Termination phase: Saturation
% 20.93/3.52 % (2076521)Time elapsed: 0.071 s
% 20.93/3.52 % (2076521)Peak memory usage: 13 MB
% 20.93/3.52 % (2076521)Instructions burned: 297 (million)
% 20.93/3.52 % (2076531)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 20.93/3.52 % (2076531)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4216768124:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2971 on theBenchmark for (2971ds/4386Mi)
% 20.93/3.52 % (2076530)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=836364096:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2971 on theBenchmark for (2971ds/280Mi)
% 20.93/3.52 % (2076518)Instruction limit reached!
% 20.93/3.52 % (2076518)------------------------------
% 20.93/3.52 % (2076518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.93/3.52 % (2076518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.93/3.52 % (2076518)CaDiCaL version: 2.1.3
% 20.93/3.52 % (2076518)Termination reason: Instruction limit
% 20.93/3.52 % (2076518)Termination phase: Saturation
% 20.93/3.52 % (2076518)Time elapsed: 0.123 s
% 20.93/3.52 % (2076518)Peak memory usage: 12 MB
% 20.93/3.52 % (2076518)Instructions burned: 224 (million)
% 21.96/3.84 % (2076534)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 21.96/3.84 % (2076534)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 21.96/3.84 % (2076534)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=884627650:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2971 on theBenchmark for (2971ds/483Mi)
% 21.96/3.84 % (2076534)Refutation not found, incomplete strategy
% 21.96/3.84 % (2076534)------------------------------
% 21.96/3.84 % (2076534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.96/3.84 % (2076534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/3.84 % (2076534)CaDiCaL version: 2.1.3
% 21.96/3.84 % (2076534)Termination reason: Refutation not found, incomplete strategy
% 21.96/3.84 % (2076534)Time elapsed: 0.001 s
% 21.96/3.84 % (2076534)Peak memory usage: 12 MB
% 21.96/3.84 % (2076534)------------------------------
% 21.96/3.84 % (2076534)------------------------------
% 21.96/3.84 % (2076527)Instruction limit reached!
% 21.96/3.84 % (2076527)------------------------------
% 21.96/3.84 % (2076527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.96/3.84 % (2076527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/3.84 % (2076527)CaDiCaL version: 2.1.3
% 21.96/3.84 % (2076527)Termination reason: Instruction limit
% 21.96/3.84 % (2076527)Termination phase: Saturation
% 21.96/3.84 % (2076527)Time elapsed: 0.068 s
% 21.96/3.84 % (2076527)Peak memory usage: 12 MB
% 21.96/3.84 % (2076527)Instructions burned: 89 (million)
% 21.96/3.84 % (2076536)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3179616275:i=73:rtra=on_2971 on theBenchmark for (2971ds/73Mi)
% 21.96/3.84 % (2076536)Refutation not found, incomplete strategy
% 21.96/3.84 % (2076536)------------------------------
% 21.96/3.84 % (2076536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.96/3.84 % (2076536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/3.84 % (2076536)CaDiCaL version: 2.1.3
% 21.96/3.84 % (2076536)Termination reason: Refutation not found, incomplete strategy
% 21.96/3.84 % (2076536)Time elapsed: 0.001 s
% 21.96/3.84 % (2076536)Peak memory usage: 11 MB
% 21.96/3.84 % (2076536)Instructions burned: 1 (million)
% 21.96/3.84 % (2076536)------------------------------
% 21.96/3.84 % (2076536)------------------------------
% 21.96/3.84 % (2076537)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3161611760:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2970 on theBenchmark for (2970ds/176Mi)
% 21.96/3.84 % (2076539)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 21.96/3.84 % (2076539)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=4253173913:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2970 on theBenchmark for (2970ds/39Mi)
% 21.96/3.84 % (2076539)Instruction limit reached!
% 21.96/3.84 % (2076539)------------------------------
% 21.96/3.84 % (2076539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.96/3.84 % (2076539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/3.84 % (2076539)CaDiCaL version: 2.1.3
% 21.96/3.84 % (2076539)Termination reason: Instruction limit
% 21.96/3.84 % (2076539)Termination phase: Saturation
% 21.96/3.84 % (2076539)Time elapsed: 0.020 s
% 21.96/3.84 % (2076539)Peak memory usage: 12 MB
% 21.96/3.84 % (2076539)Instructions burned: 39 (million)
% 21.96/3.84 % (2076543)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1788426817:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2970 on theBenchmark for (2970ds/708Mi)
% 21.96/3.84 % (2076530)Instruction limit reached!
% 21.96/3.84 % (2076530)------------------------------
% 21.96/3.84 % (2076530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.96/3.84 % (2076530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.96/3.84 % (2076530)CaDiCaL version: 2.1.3
% 21.96/3.84 % (2076530)Termination reason: Instruction limit
% 21.96/3.84 % (2076530)Termination phase: Saturation
% 21.96/3.84 % (2076530)Time elapsed: 0.135 s
% 21.96/3.84 % (2076530)Peak memory usage: 12 MB
% 21.96/3.84 % (2076530)Instructions burned: 281 (million)
% 22.51/3.97 % (2076545)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
% 22.51/3.97 % (2076545)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=1518606757:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2970 on theBenchmark for (2970ds/252Mi)
% 22.51/3.97 % (2076537)Instruction limit reached!
% 22.51/3.97 % (2076537)------------------------------
% 22.51/3.97 % (2076537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.97 % (2076537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.97 % (2076537)CaDiCaL version: 2.1.3
% 22.51/3.97 % (2076537)Termination reason: Instruction limit
% 22.51/3.97 % (2076537)Termination phase: Saturation
% 22.51/3.97 % (2076537)Time elapsed: 0.108 s
% 22.51/3.97 % (2076537)Peak memory usage: 13 MB
% 22.51/3.97 % (2076537)Instructions burned: 177 (million)
% 22.51/3.97 % (2076547)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=2406635064:i=823:fsr=off:rtra=on_2969 on theBenchmark for (2969ds/823Mi)
% 22.51/3.97 % (2076545)Instruction limit reached!
% 22.51/3.97 % (2076545)------------------------------
% 22.51/3.97 % (2076545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.97 % (2076545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.97 % (2076545)CaDiCaL version: 2.1.3
% 22.51/3.97 % (2076545)Termination reason: Instruction limit
% 22.51/3.97 % (2076545)Termination phase: Saturation
% 22.51/3.97 % (2076545)Time elapsed: 0.126 s
% 22.51/3.97 % (2076545)Peak memory usage: 12 MB
% 22.51/3.97 % (2076545)Instructions burned: 253 (million)
% 22.51/3.97 % (2076549)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 22.51/3.97 % (2076549)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=4057964544:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/16202Mi)
% 22.51/3.97 % (2076549)Refutation not found, incomplete strategy
% 22.51/3.97 % (2076549)------------------------------
% 22.51/3.97 % (2076549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.97 % (2076549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.97 % (2076549)CaDiCaL version: 2.1.3
% 22.51/3.97 % (2076549)Termination reason: Refutation not found, incomplete strategy
% 22.51/3.97 % (2076549)Time elapsed: 0.001 s
% 22.51/3.97 % (2076549)Peak memory usage: 12 MB
% 22.51/3.97 % (2076549)Instructions burned: 1 (million)
% 22.51/3.97 % (2076549)------------------------------
% 22.51/3.97 % (2076549)------------------------------
% 22.51/3.97 % (2076551)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=2230153102:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/300Mi)
% 22.51/3.97 % (2076543)Instruction limit reached!
% 22.51/3.97 % (2076543)------------------------------
% 22.51/3.97 % (2076543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.97 % (2076543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.97 % (2076543)CaDiCaL version: 2.1.3
% 22.51/3.97 % (2076543)Termination reason: Instruction limit
% 22.51/3.97 % (2076543)Termination phase: Saturation
% 22.51/3.97 % (2076543)Time elapsed: 0.292 s
% 22.51/3.97 % (2076543)Peak memory usage: 14 MB
% 22.51/3.97 % (2076543)Instructions burned: 709 (million)
% 22.51/3.97 % (2076553)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 22.51/3.97 % (2076553)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 22.51/3.97 % (2076553)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=1385931899:i=177:add=on:bd=preordered:rtra=on:rawr=on_2967 on theBenchmark for (2967ds/177Mi)
% 22.51/3.97 % (2076482)Instruction limit reached!
% 22.51/3.97 % (2076482)------------------------------
% 22.51/3.97 % (2076482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.97 % (2076482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.97 % (2076482)CaDiCaL version: 2.1.3
% 22.51/3.97 % (2076482)Termination reason: Instruction limit
% 22.51/4.03 % (2076482)Termination phase: Saturation
% 22.51/4.03 % (2076482)Time elapsed: 1.139 s
% 22.51/4.03 % (2076482)Peak memory usage: 17 MB
% 22.51/4.03 % (2076482)Instructions burned: 2241 (million)
% 22.51/4.03 % (2076551)Instruction limit reached!
% 22.51/4.03 % (2076551)------------------------------
% 22.51/4.03 % (2076551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/4.03 % (2076551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.03 % (2076551)CaDiCaL version: 2.1.3
% 22.51/4.03 % (2076551)Termination reason: Instruction limit
% 22.51/4.03 % (2076551)Termination phase: Saturation
% 22.51/4.03 % (2076551)Time elapsed: 0.128 s
% 22.51/4.03 % (2076551)Peak memory usage: 12 MB
% 22.51/4.03 % (2076551)Instructions burned: 302 (million)
% 22.51/4.03 % (2076555)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2769253307:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/715Mi)
% 22.51/4.03 % (2076555)Refutation not found, incomplete strategy
% 22.51/4.03 % (2076555)------------------------------
% 22.51/4.03 % (2076555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/4.03 % (2076555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.03 % (2076555)CaDiCaL version: 2.1.3
% 22.51/4.03 % (2076555)Termination reason: Refutation not found, incomplete strategy
% 22.51/4.03 % (2076555)Time elapsed: 0.001 s
% 22.51/4.03 % (2076555)Peak memory usage: 11 MB
% 22.51/4.03 % (2076555)Instructions burned: 2 (million)
% 22.51/4.03 % (2076555)------------------------------
% 22.51/4.03 % (2076555)------------------------------
% 22.51/4.03 % (2076557)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 22.51/4.03 % (2076557)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 22.51/4.03 % (2076557)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=52884219:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2966 on theBenchmark for (2966ds/230Mi)
% 22.51/4.03 % (2076557)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 22.51/4.03 % (2076558)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=2701899670:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2966 on theBenchmark for (2966ds/606Mi)
% 22.51/4.03 % (2076553)Instruction limit reached!
% 22.51/4.03 % (2076553)------------------------------
% 22.51/4.03 % (2076553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/4.03 % (2076553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.03 % (2076553)CaDiCaL version: 2.1.3
% 22.51/4.03 % (2076553)Termination reason: Instruction limit
% 22.51/4.03 % (2076553)Termination phase: Saturation
% 22.51/4.03 % (2076553)Time elapsed: 0.081 s
% 22.51/4.03 % (2076553)Peak memory usage: 12 MB
% 22.51/4.03 % (2076553)Instructions burned: 177 (million)
% 22.51/4.03 % (2076561)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 22.51/4.03 % (2076561)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=1241889511:lrd=on:i=841:nm=0:rtra=on_2966 on theBenchmark for (2966ds/841Mi)
% 22.51/4.03 % (2076557)Instruction limit reached!
% 22.51/4.03 % (2076557)------------------------------
% 22.51/4.03 % (2076557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/4.03 % (2076557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/4.03 % (2076557)CaDiCaL version: 2.1.3
% 22.51/4.03 % (2076557)Termination reason: Instruction limit
% 22.51/4.03 % (2076557)Termination phase: Saturation
% 22.51/4.03 % (2076557)Time elapsed: 0.104 s
% 22.51/4.03 % (2076557)Peak memory usage: 12 MB
% 22.51/4.03 % (2076557)Instructions burned: 233 (million)
% 22.51/4.03 % (2076563)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1343498586:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2965 on theBenchmark for (2965ds/445Mi)
% 22.51/4.03 % (2076558)Instruction limit reached!
% 22.51/4.03 % (2076558)------------------------------
% 22.51/4.03 % (2076558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/4.03 % (2076558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.50/4.08 % (2076558)CaDiCaL version: 2.1.3
% 25.50/4.08 % (2076558)Termination reason: Instruction limit
% 25.50/4.08 % (2076558)Termination phase: Saturation
% 25.50/4.08 % (2076558)Time elapsed: 0.280 s
% 25.50/4.08 % (2076558)Peak memory usage: 12 MB
% 25.50/4.08 % (2076558)Instructions burned: 607 (million)
% 25.50/4.08 % (2076565)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=589847391:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2963 on theBenchmark for (2963ds/71Mi)
% 25.50/4.08 % (2076565)Instruction limit reached!
% 25.50/4.08 % (2076565)------------------------------
% 25.50/4.08 % (2076565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.50/4.08 % (2076565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.50/4.08 % (2076565)CaDiCaL version: 2.1.3
% 25.50/4.08 % (2076565)Termination reason: Instruction limit
% 25.50/4.08 % (2076565)Termination phase: Saturation
% 25.50/4.08 % (2076565)Time elapsed: 0.037 s
% 25.50/4.08 % (2076565)Peak memory usage: 12 MB
% 25.50/4.08 % (2076565)Instructions burned: 72 (million)
% 25.50/4.08 % (2076563)Instruction limit reached!
% 25.50/4.08 % (2076563)------------------------------
% 25.50/4.08 % (2076563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.50/4.08 % (2076563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.50/4.08 % (2076563)CaDiCaL version: 2.1.3
% 25.50/4.08 % (2076563)Termination reason: Instruction limit
% 25.50/4.08 % (2076563)Termination phase: Saturation
% 25.50/4.08 % (2076563)Time elapsed: 0.223 s
% 25.50/4.08 % (2076563)Peak memory usage: 14 MB
% 25.50/4.08 % (2076563)Instructions burned: 446 (million)
% 25.50/4.08 % (2076567)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
% 25.50/4.08 % (2076567)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 25.50/4.08 % (2076547)Instruction limit reached!
% 25.50/4.08 % (2076547)------------------------------
% 25.50/4.08 % (2076547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.50/4.08 % (2076547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.50/4.08 % (2076547)CaDiCaL version: 2.1.3
% 25.50/4.08 % (2076547)Termination reason: Instruction limit
% 25.50/4.08 % (2076547)Termination phase: Saturation
% 25.50/4.08 % (2076547)Time elapsed: 0.619 s
% 25.50/4.08 % (2076547)Peak memory usage: 13 MB
% 25.50/4.08 % (2076547)Instructions burned: 824 (million)
% 25.50/4.08 % (2076567)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4201753034:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2963 on theBenchmark for (2963ds/100Mi)
% 25.50/4.08 % (2076568)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 25.50/4.08 % (2076568)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=1608280152:i=1352:add=on:aac=none:rtra=on_2963 on theBenchmark for (2963ds/1352Mi)
% 25.50/4.08 % (2076568)Refutation not found, incomplete strategy
% 25.50/4.08 % (2076568)------------------------------
% 25.50/4.08 % (2076568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.50/4.08 % (2076568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.50/4.08 % (2076568)CaDiCaL version: 2.1.3
% 25.50/4.08 % (2076568)Termination reason: Refutation not found, incomplete strategy
% 25.50/4.08 % (2076568)Time elapsed: 0.002 s
% 25.50/4.08 % (2076568)Peak memory usage: 11 MB
% 25.50/4.08 % (2076568)Instructions burned: 3 (million)
% 25.50/4.08 % (2076568)------------------------------
% 25.50/4.08 % (2076568)------------------------------
% 25.50/4.08 % (2076569)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=3800653430:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2963 on theBenchmark for (2963ds/646Mi)
% 25.50/4.08 % (2076572)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=3055422005:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2962 on theBenchmark for (2962ds/1924Mi)
% 25.50/4.08 % (2076572)Refutation not found, incomplete strategy
% 25.90/4.20 % (2076572)------------------------------
% 25.90/4.20 % (2076572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/4.20 % (2076572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/4.20 % (2076572)CaDiCaL version: 2.1.3
% 25.90/4.20 % (2076572)Termination reason: Refutation not found, incomplete strategy
% 25.90/4.20 % (2076572)Time elapsed: 0.001 s
% 25.90/4.20 % (2076572)Peak memory usage: 11 MB
% 25.90/4.20 % (2076572)------------------------------
% 25.90/4.20 % (2076572)------------------------------
% 25.90/4.20 % (2076567)Instruction limit reached!
% 25.90/4.20 % (2076567)------------------------------
% 25.90/4.20 % (2076567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/4.20 % (2076567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/4.20 % (2076567)CaDiCaL version: 2.1.3
% 25.90/4.20 % (2076567)Termination reason: Instruction limit
% 25.90/4.20 % (2076567)Termination phase: Saturation
% 25.90/4.20 % (2076567)Time elapsed: 0.067 s
% 25.90/4.20 % (2076567)Peak memory usage: 12 MB
% 25.90/4.20 % (2076567)Instructions burned: 101 (million)
% 25.90/4.20 % (2076561)Instruction limit reached!
% 25.90/4.20 % (2076561)------------------------------
% 25.90/4.20 % (2076561)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/4.20 % (2076561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/4.20 % (2076561)CaDiCaL version: 2.1.3
% 25.90/4.20 % (2076561)Termination reason: Instruction limit
% 25.90/4.20 % (2076561)Termination phase: Saturation
% 25.90/4.20 % (2076561)Time elapsed: 0.377 s
% 25.90/4.20 % (2076561)Peak memory usage: 13 MB
% 25.90/4.20 % (2076561)Instructions burned: 841 (million)
% 25.90/4.20 % (2076575)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4008490025:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2962 on theBenchmark for (2962ds/984Mi)
% 25.90/4.20 % (2076575)Refutation not found, incomplete strategy
% 25.90/4.20 % (2076575)------------------------------
% 25.90/4.20 % (2076575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/4.20 % (2076575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/4.20 % (2076575)CaDiCaL version: 2.1.3
% 25.90/4.20 % (2076575)Termination reason: Refutation not found, incomplete strategy
% 25.90/4.20 % (2076575)Time elapsed: 0.001 s
% 25.90/4.20 % (2076575)Peak memory usage: 11 MB
% 25.90/4.20 % (2076575)Instructions burned: 1 (million)
% 25.90/4.20 % (2076575)------------------------------
% 25.90/4.20 % (2076575)------------------------------
% 25.90/4.20 % (2076576)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=3189023164:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2962 on theBenchmark for (2962ds/592Mi)
% 25.90/4.20 % (2076577)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=1802096586:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2962 on theBenchmark for (2962ds/872Mi)
% 25.90/4.20 % (2076577)Refutation not found, incomplete strategy
% 25.90/4.20 % (2076577)------------------------------
% 25.90/4.20 % (2076577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 25.90/4.20 % (2076577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.90/4.20 % (2076577)CaDiCaL version: 2.1.3
% 25.90/4.20 % (2076577)Termination reason: Refutation not found, incomplete strategy
% 25.90/4.20 % (2076577)Time elapsed: 0.001 s
% 25.90/4.20 % (2076577)Peak memory usage: 11 MB
% 25.90/4.20 % (2076577)------------------------------
% 25.90/4.20 % (2076577)------------------------------
% 25.90/4.20 % (2076580)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 25.90/4.20 % (2076580)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=4011883430:i=999:add=on:rtra=on_2962 on theBenchmark for (2962ds/999Mi)
% 25.90/4.20 % (2076582)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 25.90/4.20 % (2076582)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=452306126:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2962 on theBenchmark for (2962ds/244Mi)
% 25.90/4.20 % (2076582)Refutation not found, incomplete strategy
% 25.90/4.20 % (2076582)------------------------------
% 26.79/4.41 % (2076582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.79/4.41 % (2076582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.79/4.41 % (2076582)CaDiCaL version: 2.1.3
% 26.79/4.41 % (2076582)Termination reason: Refutation not found, incomplete strategy
% 26.79/4.41 % (2076582)Time elapsed: 0.002 s
% 26.79/4.41 % (2076582)Peak memory usage: 11 MB
% 26.79/4.41 % (2076582)Instructions burned: 2 (million)
% 26.79/4.41 % (2076582)------------------------------
% 26.79/4.41 % (2076582)------------------------------
% 26.79/4.41 % (2076531)Instruction limit reached!
% 26.79/4.41 % (2076531)------------------------------
% 26.79/4.41 % (2076531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.79/4.41 % (2076531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.79/4.41 % (2076531)CaDiCaL version: 2.1.3
% 26.79/4.41 % (2076531)Termination reason: Instruction limit
% 26.79/4.41 % (2076531)Termination phase: Saturation
% 26.79/4.41 % (2076531)Time elapsed: 0.958 s
% 26.79/4.41 % (2076531)Peak memory usage: 16 MB
% 26.79/4.41 % (2076531)Instructions burned: 4388 (million)
% 26.79/4.41 % (2076586)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=220719700:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/7795Mi)
% 26.79/4.41 % (2076586)Refutation not found, incomplete strategy
% 26.79/4.41 % (2076586)------------------------------
% 26.79/4.41 % (2076586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.79/4.41 % (2076586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.79/4.41 % (2076586)CaDiCaL version: 2.1.3
% 26.79/4.41 % (2076586)Termination reason: Refutation not found, incomplete strategy
% 26.79/4.41 % (2076586)Time elapsed: 0.0000 s
% 26.79/4.41 % (2076586)Peak memory usage: 11 MB
% 26.79/4.41 % (2076586)------------------------------
% 26.79/4.41 % (2076586)------------------------------
% 26.79/4.41 % (2076585)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=340724588:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2961 on theBenchmark for (2961ds/113Mi)
% 26.79/4.41 % (2076585)Refutation not found, incomplete strategy
% 26.79/4.41 % (2076585)------------------------------
% 26.79/4.41 % (2076585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.79/4.41 % (2076585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.79/4.41 % (2076585)CaDiCaL version: 2.1.3
% 26.79/4.41 % (2076585)Termination reason: Refutation not found, incomplete strategy
% 26.79/4.41 % (2076585)Time elapsed: 0.002 s
% 26.79/4.41 % (2076585)Peak memory usage: 11 MB
% 26.79/4.41 % (2076585)Instructions burned: 1 (million)
% 26.79/4.41 % (2076585)------------------------------
% 26.79/4.41 % (2076585)------------------------------
% 26.79/4.41 % (2076589)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1222702467:st=2:i=5026:sd=1:rtra=on:ss=axioms_2961 on theBenchmark for (2961ds/5026Mi)
% 26.79/4.41 % (2076589)Refutation not found, incomplete strategy
% 26.79/4.41 % (2076589)------------------------------
% 26.79/4.41 % (2076589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.79/4.41 % (2076589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.79/4.41 % (2076589)CaDiCaL version: 2.1.3
% 26.79/4.41 % (2076589)Termination reason: Refutation not found, incomplete strategy
% 26.79/4.41 % (2076589)Time elapsed: 0.0000 s
% 26.79/4.41 % (2076589)Peak memory usage: 11 MB
% 26.79/4.41 % (2076589)------------------------------
% 26.79/4.41 % (2076589)------------------------------
% 26.79/4.41 % (2076343)Instruction limit reached!
% 26.79/4.41 % (2076343)------------------------------
% 26.79/4.41 % (2076343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 26.79/4.41 % (2076343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.79/4.41 % (2076343)CaDiCaL version: 2.1.3
% 26.79/4.41 % (2076343)Termination reason: Instruction limit
% 26.79/4.41 % (2076343)Termination phase: Saturation
% 26.79/4.41 % (2076343)Time elapsed: 3.111 s
% 26.79/4.41 % (2076343)Peak memory usage: 14 MB
% 26.79/4.41 % (2076343)Instructions burned: 9842 (million)
% 26.79/4.41 % (2076590)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 26.79/4.41 % (2076590)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=2613188945:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2961 on theBenchmark for (2961ds/763Mi)
% 27.65/4.51 % (2076592)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1385104262:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2961 on theBenchmark for (2961ds/1144Mi)
% 27.65/4.51 % (2076592)Refutation not found, incomplete strategy
% 27.65/4.51 % (2076592)------------------------------
% 27.65/4.51 % (2076592)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.65/4.51 % (2076592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.65/4.51 % (2076592)CaDiCaL version: 2.1.3
% 27.65/4.51 % (2076592)Termination reason: Refutation not found, incomplete strategy
% 27.65/4.51 % (2076592)Time elapsed: 0.0000 s
% 27.65/4.51 % (2076592)Peak memory usage: 11 MB
% 27.65/4.51 % (2076592)------------------------------
% 27.65/4.51 % (2076592)------------------------------
% 27.65/4.51 % (2076590)Refutation not found, incomplete strategy
% 27.65/4.51 % (2076590)------------------------------
% 27.65/4.51 % (2076590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.65/4.51 % (2076590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.65/4.51 % (2076590)CaDiCaL version: 2.1.3
% 27.65/4.51 % (2076590)Termination reason: Refutation not found, incomplete strategy
% 27.65/4.51 % (2076590)Time elapsed: 0.001 s
% 27.65/4.51 % (2076590)Peak memory usage: 11 MB
% 27.65/4.51 % (2076590)Instructions burned: 1 (million)
% 27.65/4.51 % (2076590)------------------------------
% 27.65/4.51 % (2076590)------------------------------
% 27.65/4.51 % (2076596)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=3241251808:i=1724:fsr=off:rtra=on:fe=abstraction_2961 on theBenchmark for (2961ds/1724Mi)
% 27.65/4.51 % (2076593)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 27.65/4.51 % (2076593)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=769818646:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2961 on theBenchmark for (2961ds/52Mi)
% 27.65/4.51 % (2076597)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=1638179664:i=439:add=on:slsql=off:rtra=on:ntd=on_2961 on theBenchmark for (2961ds/439Mi)
% 27.65/4.51 % (2076593)Instruction limit reached!
% 27.65/4.51 % (2076593)------------------------------
% 27.65/4.51 % (2076593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.65/4.51 % (2076593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.65/4.51 % (2076593)CaDiCaL version: 2.1.3
% 27.65/4.51 % (2076593)Termination reason: Instruction limit
% 27.65/4.51 % (2076593)Termination phase: Saturation
% 27.65/4.51 % (2076593)Time elapsed: 0.051 s
% 27.65/4.51 % (2076593)Peak memory usage: 12 MB
% 27.65/4.51 % (2076593)Instructions burned: 53 (million)
% 27.65/4.51 % (2076601)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=275485504:i=6395:sd=1:rtra=on:ss=axioms_2960 on theBenchmark for (2960ds/6395Mi)
% 27.65/4.51 % (2076601)Refutation not found, incomplete strategy
% 27.65/4.51 % (2076601)------------------------------
% 27.65/4.51 % (2076601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.65/4.51 % (2076601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.65/4.51 % (2076601)CaDiCaL version: 2.1.3
% 27.65/4.51 % (2076601)Termination reason: Refutation not found, incomplete strategy
% 27.65/4.51 % (2076601)Time elapsed: 0.001 s
% 27.65/4.51 % (2076601)Peak memory usage: 11 MB
% 27.65/4.51 % (2076601)------------------------------
% 27.65/4.51 % (2076601)------------------------------
% 27.65/4.51 % (2076603)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 27.65/4.51 % (2076603)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=3625632629:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2960 on theBenchmark for (2960ds/6762Mi)
% 27.65/4.51 % (2076603)Refutation not found, incomplete strategy
% 27.65/4.51 % (2076603)------------------------------
% 27.65/4.51 % (2076603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.65/4.51 % (2076603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.65/4.51 % (2076603)CaDiCaL version: 2.1.3
% 27.65/4.51 % (2076603)Termination reason: Refutation not found, incomplete strategy
% 27.65/4.51 % (2076603)Time elapsed: 0.001 s
% 29.14/4.82 % (2076603)Peak memory usage: 11 MB
% 29.14/4.82 % (2076603)------------------------------
% 29.14/4.82 % (2076603)------------------------------
% 29.14/4.82 % (2076605)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 29.14/4.82 % (2076605)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=4092496944:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2960 on theBenchmark for (2960ds/376Mi)
% 29.14/4.82 % (2076576)Instruction limit reached!
% 29.14/4.82 % (2076576)------------------------------
% 29.14/4.82 % (2076576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.14/4.82 % (2076576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.14/4.82 % (2076576)CaDiCaL version: 2.1.3
% 29.14/4.82 % (2076576)Termination reason: Instruction limit
% 29.14/4.82 % (2076576)Termination phase: Saturation
% 29.14/4.82 % (2076576)Time elapsed: 0.250 s
% 29.14/4.82 % (2076576)Peak memory usage: 12 MB
% 29.14/4.82 % (2076576)Instructions burned: 594 (million)
% 29.14/4.82 % (2076607)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=1197128145:i=965:bd=all:ins=4:rtra=on_2959 on theBenchmark for (2959ds/965Mi)
% 29.14/4.82 % (2076569)Instruction limit reached!
% 29.14/4.82 % (2076569)------------------------------
% 29.14/4.82 % (2076569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.14/4.82 % (2076569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.14/4.82 % (2076569)CaDiCaL version: 2.1.3
% 29.14/4.82 % (2076569)Termination reason: Instruction limit
% 29.14/4.82 % (2076569)Termination phase: Saturation
% 29.14/4.82 % (2076569)Time elapsed: 0.340 s
% 29.14/4.82 % (2076569)Peak memory usage: 13 MB
% 29.14/4.82 % (2076569)Instructions burned: 649 (million)
% 29.14/4.82 % (2076609)lrs+10_1_sil=128000:si=on:urr=on:random_seed=584326105:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2959 on theBenchmark for (2959ds/5013Mi)
% 29.14/4.82 % (2076609)Refutation not found, incomplete strategy
% 29.14/4.82 % (2076609)------------------------------
% 29.14/4.82 % (2076609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.14/4.82 % (2076609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.14/4.82 % (2076609)CaDiCaL version: 2.1.3
% 29.14/4.82 % (2076609)Termination reason: Refutation not found, incomplete strategy
% 29.14/4.82 % (2076609)Time elapsed: 0.001 s
% 29.14/4.82 % (2076609)Peak memory usage: 11 MB
% 29.14/4.82 % (2076609)------------------------------
% 29.14/4.82 % (2076609)------------------------------
% 29.14/4.82 % (2076611)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=3812437134:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2959 on theBenchmark for (2959ds/1583Mi)
% 29.14/4.82 % (2076597)Instruction limit reached!
% 29.14/4.82 % (2076597)------------------------------
% 29.14/4.82 % (2076597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.14/4.82 % (2076597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.14/4.82 % (2076597)CaDiCaL version: 2.1.3
% 29.14/4.82 % (2076597)Termination reason: Instruction limit
% 29.14/4.82 % (2076597)Termination phase: Saturation
% 29.14/4.82 % (2076597)Time elapsed: 0.242 s
% 29.14/4.82 % (2076597)Peak memory usage: 12 MB
% 29.14/4.82 % (2076597)Instructions burned: 441 (million)
% 29.14/4.82 % (2076613)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 29.14/4.82 % (2076613)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 29.14/4.82 % (2076613)WARNING Broken Constraint: if sine_to_age_generality_threshold(16) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 29.14/4.82 % (2076613)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 29.14/4.82 % (2076613)ott+1002_1_slsqr=1,32:sil=128000:fde=none:e2e=on:hsqc=2:si=on:sp=const_min:sos=on:uwa=interpreted_only:s2agt=16:chr=on:random_seed=2038725769:hsqr=4,1:avsq=on:cond=on:i=1774:add=on:avsqr=1,16:kws=arity_squared:nm=120:rtra=on:fe=abstraction:ss=axioms_2958 on theBenchmark for (2958ds/1774Mi)
% 29.14/4.82 % (2076613)Refutation not found, incomplete strategy
% 32.26/5.08 % (2076613)------------------------------
% 32.26/5.08 % (2076613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.26/5.08 % (2076613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.26/5.08 % (2076613)CaDiCaL version: 2.1.3
% 32.26/5.08 % (2076613)Termination reason: Refutation not found, incomplete strategy
% 32.26/5.08 % (2076613)Time elapsed: 0.001 s
% 32.26/5.08 % (2076613)Peak memory usage: 11 MB
% 32.26/5.08 % (2076613)------------------------------
% 32.26/5.08 % (2076613)------------------------------
% 32.26/5.08 % (2076605)Instruction limit reached!
% 32.26/5.08 % (2076605)------------------------------
% 32.26/5.08 % (2076605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.26/5.08 % (2076605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.26/5.08 % (2076605)CaDiCaL version: 2.1.3
% 32.26/5.08 % (2076605)Termination reason: Instruction limit
% 32.26/5.08 % (2076605)Termination phase: Saturation
% 32.26/5.08 % (2076605)Time elapsed: 0.197 s
% 32.26/5.08 % (2076605)Peak memory usage: 14 MB
% 32.26/5.08 % (2076605)Instructions burned: 377 (million)
% 32.26/5.08 % (2076616)WARNING Broken Constraint: if sine_to_age_generality_threshold(60) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 32.26/5.08 % (2076616)lrs-30_5:1_sil=128000:drc=off:sas=cadical:si=on:lma=off:cbe=off:uwa=one_side_interpreted:s2agt=60:lwlo=on:random_seed=2216340303:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2958 on theBenchmark for (2958ds/1297Mi)
% 32.26/5.08 % (2076615)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=2233053023:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2958 on theBenchmark for (2958ds/515Mi)
% 32.26/5.08 % (2076615)Refutation not found, incomplete strategy
% 32.26/5.08 % (2076615)------------------------------
% 32.26/5.08 % (2076615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.26/5.08 % (2076615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.26/5.08 % (2076615)CaDiCaL version: 2.1.3
% 32.26/5.08 % (2076615)Termination reason: Refutation not found, incomplete strategy
% 32.26/5.08 % (2076615)Time elapsed: 0.001 s
% 32.26/5.08 % (2076615)Peak memory usage: 12 MB
% 32.26/5.08 % (2076615)------------------------------
% 32.26/5.08 % (2076615)------------------------------
% 32.26/5.08 % (2076580)Instruction limit reached!
% 32.26/5.08 % (2076580)------------------------------
% 32.26/5.08 % (2076580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.26/5.08 % (2076580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.26/5.08 % (2076580)CaDiCaL version: 2.1.3
% 32.26/5.08 % (2076580)Termination reason: Instruction limit
% 32.26/5.08 % (2076580)Termination phase: Saturation
% 32.26/5.08 % (2076580)Time elapsed: 0.447 s
% 32.26/5.08 % (2076580)Peak memory usage: 14 MB
% 32.26/5.08 % (2076580)Instructions burned: 999 (million)
% 32.26/5.08 % (2076620)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 32.26/5.08 % (2076620)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2208444125:i=72:bd=all:rtra=on_2957 on theBenchmark for (2957ds/72Mi)
% 32.26/5.08 % (2076620)Refutation not found, incomplete strategy
% 32.26/5.08 % (2076620)------------------------------
% 32.26/5.08 % (2076620)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.26/5.08 % (2076620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.26/5.08 % (2076620)CaDiCaL version: 2.1.3
% 32.26/5.08 % (2076620)Termination reason: Refutation not found, incomplete strategy
% 32.26/5.08 % (2076620)Time elapsed: 0.001 s
% 32.26/5.08 % (2076620)Peak memory usage: 11 MB
% 32.26/5.08 % (2076620)Instructions burned: 1 (million)
% 32.26/5.08 % (2076620)------------------------------
% 32.26/5.08 % (2076620)------------------------------
% 32.26/5.08 % (2076619)dis+1002_1_to=lpo:drc=ordering:fde=none:bsd=on:si=on:ser=on:sp=const_min:cbe=off:uwa=off:flr=on:random_seed=336846566:s2a=on:i=611:rtra=on:gsp=on_2957 on theBenchmark for (2957ds/611Mi)
% 32.26/5.08 % (2076619)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 32.26/5.08 % (2076622)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=4016850376:hsq=on:hsqr=16,1:s2a=on:i=6580:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2957 on theBenchmark for (2957ds/6580Mi)
% 33.63/5.41 % (2076596)Instruction limit reached!
% 33.63/5.41 % (2076596)------------------------------
% 33.63/5.41 % (2076596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.63/5.41 % (2076596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.63/5.41 % (2076596)CaDiCaL version: 2.1.3
% 33.63/5.41 % (2076596)Termination reason: Instruction limit
% 33.63/5.41 % (2076596)Termination phase: Saturation
% 33.63/5.41 % (2076596)Time elapsed: 0.440 s
% 33.63/5.41 % (2076596)Peak memory usage: 13 MB
% 33.63/5.41 % (2076596)Instructions burned: 1725 (million)
% 33.63/5.41 % (2076625)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=2742720678:i=6209:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/6209Mi)
% 33.63/5.41 % (2076625)Refutation not found, incomplete strategy
% 33.63/5.41 % (2076625)------------------------------
% 33.63/5.41 % (2076625)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.63/5.41 % (2076625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.63/5.41 % (2076625)CaDiCaL version: 2.1.3
% 33.63/5.41 % (2076625)Termination reason: Refutation not found, incomplete strategy
% 33.63/5.41 % (2076625)Time elapsed: 0.004 s
% 33.63/5.41 % (2076625)Peak memory usage: 11 MB
% 33.63/5.41 % (2076625)------------------------------
% 33.63/5.41 % (2076625)------------------------------
% 33.63/5.41 % (2076627)lrs+1002_14_sil=128000:e2e=on:si=on:urr=on:nwc=1.2:random_seed=270551274:cond=fast:i=1003:bd=all:fsr=off:rtra=on:sup=off_2956 on theBenchmark for (2956ds/1003Mi)
% 33.63/5.41 % (2076607)Instruction limit reached!
% 33.63/5.41 % (2076607)------------------------------
% 33.63/5.41 % (2076607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.63/5.41 % (2076607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.63/5.41 % (2076607)CaDiCaL version: 2.1.3
% 33.63/5.41 % (2076607)Termination reason: Instruction limit
% 33.63/5.41 % (2076607)Termination phase: Saturation
% 33.63/5.41 % (2076607)Time elapsed: 0.454 s
% 33.63/5.41 % (2076607)Peak memory usage: 15 MB
% 33.63/5.41 % (2076607)Instructions burned: 965 (million)
% 33.63/5.42 % (2076629)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 33.63/5.42 % (2076629)ott+1002_16_sil=128000:si=on:random_seed=975999803:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2954 on theBenchmark for (2954ds/409Mi)
% 33.63/5.42 % (2076619)Instruction limit reached!
% 33.63/5.42 % (2076619)------------------------------
% 33.63/5.42 % (2076619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.63/5.42 % (2076619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.63/5.42 % (2076619)CaDiCaL version: 2.1.3
% 33.63/5.42 % (2076619)Termination reason: Instruction limit
% 33.63/5.42 % (2076619)Termination phase: Saturation
% 33.63/5.42 % (2076619)Time elapsed: 0.285 s
% 33.63/5.42 % (2076619)Peak memory usage: 13 MB
% 33.63/5.42 % (2076619)Instructions burned: 613 (million)
% 33.63/5.42 % (2076631)ott+10_1024_sil=128000:tgt=ground:cnfonf=lazy_pi_sigma_gen:si=on:sp=const_frequency:sos=on:lma=off:bsr=on:uwa=one_side_interpreted:nwc=20:random_seed=10943393:cond=on:i=403:kws=precedence:erml=3:bs=unit_only:bd=all:rtra=on:ss=axioms:er=known:ntd=on_2954 on theBenchmark for (2954ds/403Mi)
% 33.63/5.42 % (2076631)Refutation not found, incomplete strategy
% 33.63/5.42 % (2076631)------------------------------
% 33.63/5.42 % (2076631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 33.63/5.42 % (2076631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.63/5.42 % (2076631)CaDiCaL version: 2.1.3
% 33.63/5.42 % (2076631)Termination reason: Refutation not found, incomplete strategy
% 33.63/5.42 % (2076631)Time elapsed: 0.001 s
% 33.63/5.42 % (2076631)Peak memory usage: 11 MB
% 33.63/5.42 % (2076631)Instructions burned: 1 (million)
% 33.63/5.42 % (2076631)------------------------------
% 33.63/5.42 % (2076631)------------------------------
% 33.63/5.42 % (2076633)lrs+10_1_sil=128000:fde=none:cnfonf=lazy_pi_sigma_gen:si=on:random_seed=1252310799:st=2:i=6843:sd=2:bd=all:rtra=on:sup=off:ss=axioms_2954 on theBenchmark for (2954ds/6843Mi)
% 33.63/5.42 % (2076633)Refutation not found, incomplete strategy
% 33.63/5.42 % (2076633)------------------------------
% 33.63/5.42 % (2076633)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.75/5.63 % (2076633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.75/5.63 % (2076633)CaDiCaL version: 2.1.3
% 34.75/5.63 % (2076633)Termination reason: Refutation not found, incomplete strategy
% 34.75/5.63 % (2076633)Time elapsed: 0.001 s
% 34.75/5.63 % (2076633)Peak memory usage: 11 MB
% 34.75/5.63 % (2076633)Instructions burned: 1 (million)
% 34.75/5.63 % (2076633)------------------------------
% 34.75/5.63 % (2076633)------------------------------
% 34.75/5.63 % (2076635)lrs+10_2:1_si=on:random_seed=2447550502:s2a=on:i=506:rtra=on:fe=abstraction_2954 on theBenchmark for (2954ds/506Mi)
% 34.75/5.63 % (2076616)Instruction limit reached!
% 34.75/5.63 % (2076616)------------------------------
% 34.75/5.63 % (2076616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.75/5.63 % (2076616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.75/5.63 % (2076616)CaDiCaL version: 2.1.3
% 34.75/5.63 % (2076616)Termination reason: Instruction limit
% 34.75/5.63 % (2076616)Termination phase: Saturation
% 34.75/5.63 % (2076616)Time elapsed: 0.448 s
% 34.75/5.63 % (2076616)Peak memory usage: 12 MB
% 34.75/5.63 % (2076616)Instructions burned: 1302 (million)
% 34.75/5.63 % (2076637)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=1516751292:uwa_fpi=on:i=888:doe=on:bd=preordered:rtra=on:fsd=on_2953 on theBenchmark for (2953ds/888Mi)
% 34.75/5.63 % (2076629)Instruction limit reached!
% 34.75/5.63 % (2076629)------------------------------
% 34.75/5.63 % (2076629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.75/5.63 % (2076629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.75/5.63 % (2076629)CaDiCaL version: 2.1.3
% 34.75/5.63 % (2076629)Termination reason: Instruction limit
% 34.75/5.63 % (2076629)Termination phase: Saturation
% 34.75/5.63 % (2076629)Time elapsed: 0.160 s
% 34.75/5.63 % (2076629)Peak memory usage: 13 MB
% 34.75/5.63 % (2076629)Instructions burned: 410 (million)
% 34.75/5.63 % (2076639)WARNING Broken Constraint: if positive_literal_split_queue_ratios(32,1) has been set then positive_literal_split_queue(off) is equal to on
% 34.75/5.63 % (2076639)ott+1002_3:2_to=kbo:sil=128000:cnfonf=lazy_gen:si=on:sp=reverse_frequency:lma=off:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=1.5:random_seed=3325870844:cond=fast:i=416:fgj=on:bd=preordered:rtra=on_2953 on theBenchmark for (2953ds/416Mi)
% 34.75/5.63 % (2076635)Instruction limit reached!
% 34.75/5.63 % (2076635)------------------------------
% 34.75/5.63 % (2076635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.75/5.63 % (2076635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.75/5.63 % (2076635)CaDiCaL version: 2.1.3
% 34.75/5.63 % (2076635)Termination reason: Instruction limit
% 34.75/5.63 % (2076635)Termination phase: Saturation
% 34.75/5.63 % (2076635)Time elapsed: 0.222 s
% 34.75/5.63 % (2076635)Peak memory usage: 13 MB
% 34.75/5.63 % (2076635)Instructions burned: 507 (million)
% 34.75/5.63 % (2076637)Instruction limit reached!
% 34.75/5.63 % (2076637)------------------------------
% 34.75/5.63 % (2076637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.75/5.63 % (2076637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.75/5.63 % (2076637)CaDiCaL version: 2.1.3
% 34.75/5.63 % (2076637)Termination reason: Instruction limit
% 34.75/5.63 % (2076637)Termination phase: Saturation
% 34.75/5.63 % (2076637)Time elapsed: 0.187 s
% 34.75/5.63 % (2076637)Peak memory usage: 12 MB
% 34.75/5.63 % (2076637)Instructions burned: 892 (million)
% 34.75/5.63 % (2076627)Instruction limit reached!
% 34.75/5.63 % (2076627)------------------------------
% 34.75/5.63 % (2076627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 34.75/5.63 % (2076627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.75/5.63 % (2076627)CaDiCaL version: 2.1.3
% 34.75/5.63 % (2076627)Termination reason: Instruction limit
% 34.75/5.63 % (2076627)Termination phase: Saturation
% 34.75/5.63 % (2076627)Time elapsed: 0.470 s
% 34.75/5.63 % (2076627)Peak memory usage: 13 MB
% 34.75/5.63 % (2076627)Instructions burned: 1003 (million)
% 34.75/5.63 % (2076641)dis+10_3:2_sfv=off:to=kbo:plsq=on:fde=unused:e2e=on:si=on:sp=reverse_frequency:acc=on:uwa=off:fd=preordered:slsqc=1:pe=on:slsq=on:random_seed=1339170886:hsq=on:hsqr=16,1:avsq=on:s2a=on:i=13534:hsql=off:nm=16:nicw=on:ins=20:rtra=on:ss=axioms:ntd=on_2951 on theBenchmark for (2951ds/13534Mi)
% 34.75/5.63 % (2076641)Refutation not found, incomplete strategy
% 36.11/5.92 % (2076641)------------------------------
% 36.11/5.92 % (2076641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/5.92 % (2076641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/5.92 % (2076641)CaDiCaL version: 2.1.3
% 36.11/5.92 % (2076641)Termination reason: Refutation not found, incomplete strategy
% 36.11/5.92 % (2076641)Time elapsed: 0.001 s
% 36.11/5.92 % (2076641)Peak memory usage: 12 MB
% 36.11/5.92 % (2076641)------------------------------
% 36.11/5.92 % (2076641)------------------------------
% 36.11/5.92 % (2076642)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(10) has been set then forward_subsumption_demodulation(off) is equal to on
% 36.11/5.92 % (2076642)dis+1002_3_tgt=ground:cnfonf=lazy_simp:si=on:sp=unary_first:cbe=off:uwa=ground:updr=off:random_seed=2142450172:i=206:fgj=on:hud=10:nm=30:rtra=on:fsdmm=10_2951 on theBenchmark for (2951ds/206Mi)
% 36.11/5.92 % (2076643)dis+1010_1_sfv=off:slsqr=2,1:to=kbo:plsq=on:cnfonf=lazy_simp:si=on:cbe=off:uwa=hol:nwc=2:s2agt=16:slsq=on:random_seed=768843634:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=2295:avsqr=1,16:aac=none:hud=3:rtra=on_2951 on theBenchmark for (2951ds/2295Mi)
% 36.11/5.92 % (2076645)ott+1010_1_to=lpo:sil=128000:fde=none:si=on:sp=unary_first:uwa=off:nwc=1:random_seed=743664842:i=637:piset=not:ep=RST:bd=all:av=off:rtra=on_2951 on theBenchmark for (2951ds/637Mi)
% 36.11/5.92 % (2076639)Instruction limit reached!
% 36.11/5.92 % (2076639)------------------------------
% 36.11/5.92 % (2076639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/5.92 % (2076639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/5.92 % (2076639)CaDiCaL version: 2.1.3
% 36.11/5.92 % (2076639)Termination reason: Instruction limit
% 36.11/5.92 % (2076639)Termination phase: Saturation
% 36.11/5.92 % (2076639)Time elapsed: 0.192 s
% 36.11/5.92 % (2076639)Peak memory usage: 14 MB
% 36.11/5.92 % (2076639)Instructions burned: 416 (million)
% 36.11/5.92 % (2076642)Instruction limit reached!
% 36.11/5.92 % (2076642)------------------------------
% 36.11/5.92 % (2076642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/5.92 % (2076642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/5.92 % (2076642)CaDiCaL version: 2.1.3
% 36.11/5.92 % (2076642)Termination reason: Instruction limit
% 36.11/5.92 % (2076642)Termination phase: Saturation
% 36.11/5.92 % (2076642)Time elapsed: 0.041 s
% 36.11/5.92 % (2076642)Peak memory usage: 12 MB
% 36.11/5.92 % (2076642)Instructions burned: 210 (million)
% 36.11/5.92 % (2076649)dis+1002_15:31_sil=128000:cnfonf=lazy_not_gen:si=on:cbe=off:uwa=off:random_seed=2163018939:hsq=on:i=667:rtra=on:ixr=off_2951 on theBenchmark for (2951ds/667Mi)
% 36.11/5.92 % (2076650)lrs-1004_16_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:lma=off:uwa=off:random_seed=129448645:i=1801:bd=preordered:nm=32:rtra=on:fdi=1024_2950 on theBenchmark for (2950ds/1801Mi)
% 36.11/5.92 % (2076611)Instruction limit reached!
% 36.11/5.92 % (2076611)------------------------------
% 36.11/5.92 % (2076611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/5.92 % (2076611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/5.92 % (2076611)CaDiCaL version: 2.1.3
% 36.11/5.92 % (2076611)Termination reason: Instruction limit
% 36.11/5.92 % (2076611)Termination phase: Saturation
% 36.11/5.92 % (2076611)Time elapsed: 0.928 s
% 36.11/5.92 % (2076611)Peak memory usage: 13 MB
% 36.11/5.92 % (2076611)Instructions burned: 1585 (million)
% 36.11/5.92 % (2076654)lrs+1002_1024_anc=all_dependent:sil=128000:drc=off:cnfonf=lazy_not_be_gen:si=on:cbe=off:cs=on:random_seed=3540791151:i=555:aac=none:rtra=on:fe=abstraction:ntd=on_2949 on theBenchmark for (2949ds/555Mi)
% 36.11/5.92 % (2076645)Instruction limit reached!
% 36.11/5.92 % (2076645)------------------------------
% 36.11/5.92 % (2076645)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/5.92 % (2076645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/5.92 % (2076645)CaDiCaL version: 2.1.3
% 36.11/5.92 % (2076645)Termination reason: Instruction limit
% 36.11/5.92 % (2076645)Termination phase: Saturation
% 36.11/5.92 % (2076645)Time elapsed: 0.291 s
% 36.11/5.92 % (2076645)Peak memory usage: 13 MB
% 36.11/5.92 % (2076645)Instructions burned: 637 (million)
% 36.11/5.92 % (2076656)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=396186450:i=88:s2at=3:nm=2:rtra=on:rawr=on_2948 on theBenchmark for (2948ds/88Mi)
% 36.11/6.02 % (2076656)Instruction limit reached!
% 36.11/6.02 % (2076656)------------------------------
% 36.11/6.02 % (2076656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/6.02 % (2076656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/6.02 % (2076656)CaDiCaL version: 2.1.3
% 36.11/6.02 % (2076656)Termination reason: Instruction limit
% 36.11/6.02 % (2076656)Termination phase: Saturation
% 36.11/6.02 % (2076656)Time elapsed: 0.041 s
% 36.11/6.02 % (2076656)Peak memory usage: 12 MB
% 36.11/6.02 % (2076656)Instructions burned: 90 (million)
% 36.11/6.02 % (2076658)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=3049063748:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2947 on theBenchmark for (2947ds/280Mi)
% 36.11/6.02 % (2076654)Instruction limit reached!
% 36.11/6.02 % (2076654)------------------------------
% 36.11/6.02 % (2076654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/6.02 % (2076654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/6.02 % (2076654)CaDiCaL version: 2.1.3
% 36.11/6.02 % (2076654)Termination reason: Instruction limit
% 36.11/6.02 % (2076654)Termination phase: Saturation
% 36.11/6.02 % (2076654)Time elapsed: 0.210 s
% 36.11/6.02 % (2076654)Peak memory usage: 11 MB
% 36.11/6.02 % (2076654)Instructions burned: 555 (million)
% 36.11/6.02 % (2076649)Instruction limit reached!
% 36.11/6.02 % (2076649)------------------------------
% 36.11/6.02 % (2076649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/6.02 % (2076649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/6.02 % (2076649)CaDiCaL version: 2.1.3
% 36.11/6.02 % (2076649)Termination reason: Instruction limit
% 36.11/6.02 % (2076649)Termination phase: Saturation
% 36.11/6.02 % (2076649)Time elapsed: 0.351 s
% 36.11/6.02 % (2076649)Peak memory usage: 12 MB
% 36.11/6.02 % (2076649)Instructions burned: 668 (million)
% 36.11/6.02 % (2076661)WARNING Broken Constraint: if avatar_split_queue_ratios(1,2) has been set then avatar_split_queue(off) is equal to on
% 36.11/6.02 % (2076661)lrs+1010_128_to=kbo:plsq=on:plsqc=4:cnfonf=lazy_pi_sigma_gen:bsd=on:si=on:sp=occurrence:sos=on:plsql=on:random_seed=1676797791:i=4201:add=off:avsqr=1,2:bsdmm=10:fsr=off:rtra=on:fe=axiom_2947 on theBenchmark for (2947ds/4201Mi)
% 36.11/6.02 % (2076660)dis+10_5:4_e2e=on:si=on:urr=on:uwa=interpreted_only:nwc=3:random_seed=719976035:s2a=on:i=3166:bd=preordered:rtra=on_2947 on theBenchmark for (2947ds/3166Mi)
% 36.11/6.02 % (2076661)Refutation not found, incomplete strategy
% 36.11/6.02 % (2076661)------------------------------
% 36.11/6.02 % (2076661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/6.02 % (2076661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/6.02 % (2076661)CaDiCaL version: 2.1.3
% 36.11/6.02 % (2076661)Termination reason: Refutation not found, incomplete strategy
% 36.11/6.02 % (2076661)Time elapsed: 0.009 s
% 36.11/6.02 % (2076661)Peak memory usage: 11 MB
% 36.11/6.02 % (2076661)Instructions burned: 3 (million)
% 36.11/6.02 % (2076661)------------------------------
% 36.11/6.02 % (2076661)------------------------------
% 36.11/6.02 % (2076664)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=693367765:i=2352:rtra=on:ixr=off_2946 on theBenchmark for (2946ds/2352Mi)
% 36.11/6.02 % (2076658)Instruction limit reached!
% 36.11/6.02 % (2076658)------------------------------
% 36.11/6.02 % (2076658)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/6.02 % (2076658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/6.02 % (2076658)CaDiCaL version: 2.1.3
% 36.11/6.02 % (2076658)Termination reason: Instruction limit
% 36.11/6.02 % (2076658)Termination phase: Saturation
% 36.11/6.02 % (2076658)Time elapsed: 0.132 s
% 36.11/6.02 % (2076658)Peak memory usage: 12 MB
% 36.11/6.02 % (2076658)Instructions burned: 282 (million)
% 36.11/6.02 % (2076666)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 36.11/6.02 % (2076666)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=3616562392:st=2:s2a=on:i=452:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2946 on theBenchmark for (2946ds/452Mi)
% 36.11/6.02 % (2076666)Refutation not found, incomplete strategy
% 36.11/6.02 % (2076666)------------------------------
% 36.11/6.02 % (2076666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/6.02 % (2076666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/6.02 % (2076666)CaDiCaL version: 2.1.3
% 36.11/6.02 % (2076666)Termination reason: Refutation not found, incomplete strategy
% 36.11/6.02 % (2076666)Time elapsed: 0.001 s
% 36.11/6.02 % (2076666)Peak memory usage: 11 MB
% 36.11/6.02 % (2076666)Instructions burned: 1 (million)
% 36.11/6.02 % (2076666)------------------------------
% 36.11/6.02 % (2076666)------------------------------
% 36.11/6.02 % (2076650)Instruction limit reached!
% 36.11/6.02 % (2076650)------------------------------
% 36.11/6.02 % (2076650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/6.02 % (2076650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/6.02 % (2076650)CaDiCaL version: 2.1.3
% 36.11/6.02 % (2076650)Termination reason: Instruction limit
% 36.11/6.02 % (2076650)Termination phase: Saturation
% 36.11/6.02 % (2076650)Time elapsed: 0.500 s
% 36.11/6.02 % (2076650)Peak memory usage: 20 MB
% 36.11/6.02 % (2076650)Instructions burned: 1803 (million)
% 36.11/6.02 % (2076668)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 36.11/6.02 % (2076668)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 36.11/6.02 % (2076668)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=1317439905:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2945 on theBenchmark for (2945ds/483Mi)
% 36.11/6.02 % (2076668)Refutation not found, incomplete strategy
% 36.11/6.02 % (2076668)------------------------------
% 36.11/6.02 % (2076668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/6.02 % (2076668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/6.02 % (2076668)CaDiCaL version: 2.1.3
% 36.11/6.02 % (2076668)Termination reason: Refutation not found, incomplete strategy
% 36.11/6.02 % (2076668)Time elapsed: 0.001 s
% 36.11/6.02 % (2076668)Peak memory usage: 12 MB
% 36.11/6.02 % (2076668)------------------------------
% 36.11/6.02 % (2076668)------------------------------
% 36.11/6.02 % (2076669)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=355959877:cts=off:i=168:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2945 on theBenchmark for (2945ds/168Mi)
% 36.11/6.02 % (2076671)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=2485586649:hsq=on:hsqr=16,1:s2a=on:i=17240:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2945 on theBenchmark for (2945ds/17240Mi)
% 36.11/6.02 % (2076669)Instruction limit reached!
% 36.11/6.02 % (2076669)------------------------------
% 36.11/6.02 % (2076669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/6.02 % (2076669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/6.02 % (2076669)CaDiCaL version: 2.1.3
% 36.11/6.02 % (2076669)Termination reason: Instruction limit
% 36.11/6.02 % (2076669)Termination phase: Saturation
% 36.11/6.02 % (2076669)Time elapsed: 0.039 s
% 36.11/6.02 % (2076669)Peak memory usage: 12 MB
% 36.11/6.02 % (2076669)Instructions burned: 171 (million)
% 36.11/6.02 % (2076674)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:sp=unary_first:uwa=off:sac=on:random_seed=2485392140:i=2022:fsr=off:rtra=on:ixr=off_2945 on theBenchmark for (2945ds/2022Mi)
% 36.11/6.02 % (2076643)Instruction limit reached!
% 36.11/6.02 % (2076643)------------------------------
% 36.11/6.02 % (2076643)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.11/6.02 % (2076643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.11/6.02 % (2076643)CaDiCaL version: 2.1.3
% 36.11/6.02 % (2076643)Termination reason: Instruction limit
% 36.11/6.02 % (2076643)Termination phase: Saturation
% 36.11/6.02 % (2076643)Time elapsed: 0.801 s
% 36.11/6.02 % (2076643)Peak memory usage: 13 MB
% 36.11/6.02 % (2076643)Instructions burned: 2297 (million)
% 36.11/6.02 % (2076676)lrs+1010_3:1_sil=128000:tgt=full:plsq=on:drc=ordering:cnfonf=lazy_not_be_gen:si=on:etr=on:sp=reverse_arity:plsqr=32,1:urr=on:uwa=off:foolp=on:nwc=0.5:random_seed=2453021406:i=2274:kws=precedence:bd=preordered:av=off:rtra=on_2943 on theBenchmark for (2943ds/2274Mi)
% 36.11/6.02 % (2076493) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2076171-2076493"...
% 36.11/6.02 % (2076493)...printing done.
% 36.11/6.02 % (2076493)Refutation found. Thanks to Tanya!
% 36.11/6.02 % SZS status Unsatisfiable for theBenchmark
% 36.11/6.02 % SZS output start Proof for theBenchmark
% See solution above
% 38.74/6.08 % (2076493)------------------------------
% 38.74/6.08 % (2076493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 38.74/6.08 % (2076493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.74/6.08 % (2076493)CaDiCaL version: 2.1.3
% 38.74/6.08 % (2076493)Termination reason: Refutation
% 38.74/6.08 % (2076493)Time elapsed: 3.382 s
% 38.74/6.08 % (2076493)Peak memory usage: 19 MB
% 38.74/6.08 % (2076493)Instructions burned: 4264 (million)
% 38.74/6.08 % (2076171)Success in time 5.833 s
% 38.74/6.08 % Vampire exiting
%------------------------------------------------------------------------------