%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA096^1 : TPTP v9.3.1. Released v9.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:52:14 AM UTC 2026
% Result : Unsatisfiable 23.58s 3.77s
% Output : Refutation 24.80s
% 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_0,type,
inj: ( $i > $i ) > $o ).
thf(func_def_2,type,
surj: ( $i > $i ) > $o ).
thf(func_def_3,type,
b: $i > $i > $o ).
thf(func_def_4,type,
r: $i > $i > $o ).
thf(func_def_7,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_8,type,
vIMP: $o > $o > $o ).
thf(func_def_9,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_10,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_11,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_12,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_13,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_14,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_15,type,
sK0: $i > $i ).
thf(func_def_16,type,
vNOT: $o > $o ).
thf(f1,axiom,
( inj
= ( ^ [X0: $i > $i] :
! [X2: $i,X1: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inj_def) ).
thf(f2,axiom,
( surj
= ( ^ [X0: $i > $i] :
! [X1: $i] :
? [X2: $i] :
( ( X0 @ X2 )
= X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',surj_def) ).
thf(f3,axiom,
? [X0: $i > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inf) ).
thf(f4,axiom,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rb_cov) ).
thf(f5,axiom,
! [X0: $i,X2: $i,X1: $i,X3: $i] :
( ~ ( r @ X0 @ X3 )
| ~ ( r @ X0 @ X1 )
| ~ ( r @ X1 @ X3 )
| ~ ( r @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axr) ).
thf(f6,axiom,
! [X3: $i,X0: $i,X4: $i,X2: $i,X1: $i] :
( ~ ( b @ X3 @ X4 )
| ~ ( b @ X1 @ X3 )
| ~ ( b @ X2 @ X4 )
| ~ ( b @ X1 @ X2 )
| ~ ( b @ X0 @ X1 )
| ~ ( b @ X0 @ X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axb) ).
thf(f7,plain,
? [X0: $i > $i] :
( ( inj @ X0 )
& ~ ( surj @ X0 ) ),
inference(rectify,[],[f3]) ).
thf(f8,plain,
? [X0: $i > $i] :
( ( ( inj @ X0 )
= $true )
& ( ( surj @ X0 )
!= $true ) ),
inference(fool_elimination,[],[f7]) ).
thf(f9,plain,
( inj
= ( ^ [X0: $i > $i] :
! [X1: $i,X2: $i] :
( ( ( X0 @ X1 )
= ( X0 @ X2 ) )
=> ( X1 = X2 ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f10,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f11,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( r @ X0 @ X3 )
| ~ ( r @ X0 @ X2 )
| ~ ( r @ X2 @ X3 )
| ~ ( r @ X2 @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f12,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X2 @ X3 )
!= $true )
| ( $true
!= ( r @ X2 @ X1 ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f13,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(fool_elimination,[],[f2]) ).
thf(f14,plain,
! [X0: $i,X1: $i] :
( ( r @ X0 @ X1 )
| ( b @ X0 @ X1 )
| ( X0 = X1 ) ),
inference(rectify,[],[f4]) ).
thf(f15,plain,
! [X1: $i,X0: $i] :
( ( ( r @ X0 @ X1 )
= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(fool_elimination,[],[f14]) ).
thf(f16,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ( b @ X0 @ X2 )
| ~ ( b @ X4 @ X0 )
| ~ ( b @ X3 @ X2 )
| ~ ( b @ X4 @ X3 )
| ~ ( b @ X1 @ X4 )
| ~ ( b @ X1 @ X0 ) ),
inference(rectify,[],[f6]) ).
thf(f17,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( ( b @ X4 @ X3 )
!= $true )
| ( $true
!= ( b @ X1 @ X4 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ),
inference(fool_elimination,[],[f16]) ).
thf(f18,plain,
? [X0: $i > $i] :
( ( ( surj @ X0 )
!= $true )
& ( ( inj @ X0 )
= $true ) ),
inference(flattening,[],[f8]) ).
thf(f19,plain,
! [X2: $i,X0: $i,X3: $i,X1: $i] :
( ( $true
!= ( r @ X2 @ X1 ) )
| ( ( r @ X2 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true ) ),
inference(flattening,[],[f12]) ).
thf(f20,plain,
! [X4: $i,X0: $i,X1: $i,X3: $i,X2: $i] :
( ( ( b @ X0 @ X2 )
!= $true )
| ( ( b @ X3 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ X4 ) )
| ( ( b @ X4 @ X0 )
!= $true )
| ( ( b @ X4 @ X3 )
!= $true ) ),
inference(flattening,[],[f17]) ).
thf(f21,plain,
( ( ( surj @ sK0 )
!= $true )
& ( $true
= ( inj @ sK0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f18]) ).
thf(f22,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(rectify,[],[f15]) ).
thf(f23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(rectify,[],[f19]) ).
thf(f24,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( $true
!= ( b @ X1 @ X4 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true ) ),
inference(rectify,[],[f20]) ).
thf(f25,plain,
( inj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f26,plain,
( surj
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f13]) ).
thf(f27,plain,
( $true
= ( inj @ sK0 ) ),
inference(cnf_transformation,[],[f21]) ).
thf(f28,plain,
( ( surj @ sK0 )
!= $true ),
inference(cnf_transformation,[],[f21]) ).
thf(f29,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ X1 @ X0 ) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f30,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X0 @ X3 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f31,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i] :
( ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ X1 @ X4 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X3 @ X4 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ X3 )
!= $true ) ),
inference(cnf_transformation,[],[f24]) ).
thf(f34,plain,
( ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 )
= Y1 ) ) )
@ sK0 )
!= $true ),
inference(definition_unfolding,[],[f28,f26]) ).
thf(f35,plain,
( $true
= ( ^ [Y0: $i > $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( ( Y0 @ Y2 )
= ( Y0 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) )
@ sK0 ) ),
inference(definition_unfolding,[],[f27,f25]) ).
thf(f36,plain,
( $true
!= ( !! @ $i
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) ) ) ),
inference(beta-eta_normalization,[],[f34]) ).
thf(f37,plain,
( ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( sK0 @ Y1 )
= Y0 ) )
@ sK1 )
= $false ),
inference(sigma_proxy_clausification,[],[f36]) ).
thf(f38,plain,
( ( ?? @ $i
@ ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 ) )
= $false ),
inference(beta-eta_normalization,[],[f37]) ).
thf(f39,plain,
! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( sK0 @ Y0 )
= sK1 )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f38]) ).
thf(f40,plain,
! [X1: $i] :
( ( ( sK0 @ X1 )
= sK1 )
= $false ),
inference(beta-eta_normalization,[],[f39]) ).
thf(f41,plain,
! [X1: $i] :
( sK1
!= ( sK0 @ X1 ) ),
inference(equality_proxy_clausification,[],[f40]) ).
thf(f42,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f35]) ).
thf(f43,plain,
! [X1: $i] :
( ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( ( sK0 @ Y1 )
= ( sK0 @ Y0 ) )
=> ( Y1 = Y0 ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f42]) ).
thf(f44,plain,
! [X1: $i] :
( ( !! @ $i
@ ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f43]) ).
thf(f45,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( ( sK0 @ Y0 )
= ( sK0 @ X1 ) )
=> ( Y0 = X1 ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f44]) ).
thf(f46,plain,
! [X2: $i,X1: $i] :
( ( ( ( sK0 @ X2 )
= ( sK0 @ X1 ) )
=> ( X2 = X1 ) )
= $true ),
inference(beta-eta_normalization,[],[f45]) ).
thf(f47,plain,
! [X2: $i,X1: $i] :
( ( $true
= ( X2 = X1 ) )
| ( $false
= ( ( sK0 @ X2 )
= ( sK0 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f46]) ).
thf(f48,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( sK0 @ X2 )
= ( sK0 @ X1 ) ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f47]) ).
thf(f49,plain,
! [X2: $i,X1: $i] :
( ( ( sK0 @ X2 )
!= ( sK0 @ X1 ) )
| ( X1 = X2 ) ),
inference(equality_proxy_clausification,[],[f48]) ).
thf(f50,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ sK1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) ),
inference(extensionality_resolution,[],[f29,f41]) ).
thf(f51,plain,
! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true ) ),
inference(extensionality_resolution,[],[f29,f41]) ).
thf(f52,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) ) ),
inference(extensionality_resolution,[],[f29,f49]) ).
thf(f55,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( X0 = X1 )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( ( r @ X1 @ X3 )
!= $true )
| ( $true != $true ) ),
inference(constrained_superposition,[],[f30,f29]) ).
thf(f56,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( r @ X1 @ X3 )
!= $true )
| ( ( r @ X0 @ X2 )
!= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) ),
inference(trivial_inequality_removal,[],[f55]) ).
thf(f60,definition,
( spl2_1
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
thf(f61,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f60]) ).
thf(f63,definition,
( spl2_2
<=> ! [X2: $i] :
( $true
!= ( r @ sK1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
thf(f64,plain,
( ! [X2: $i] :
( $true
!= ( r @ sK1 @ X2 ) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f63]) ).
thf(f77,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f52,f41]) ).
thf(f78,plain,
! [X0: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(extensionality_resolution,[],[f52,f41]) ).
thf(f79,plain,
! [X0: $i,X1: $i] :
( ( $true
= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ X1 ) ) )
= $true )
| ( X0 = X1 ) ),
inference(extensionality_resolution,[],[f52,f49]) ).
thf(f83,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f30,f77]) ).
thf(f84,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f83]) ).
thf(f92,definition,
( spl2_3
<=> ( ( r @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
thf(f93,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_3 ),
inference(avatar_component_clause,[],[f92]) ).
thf(f112,definition,
( spl2_5
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
thf(f113,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f112]) ).
thf(f123,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f30,f78]) ).
thf(f125,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) ),
inference(trivial_inequality_removal,[],[f123]) ).
thf(f130,definition,
( spl2_8
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
thf(f131,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_8 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f134,definition,
( spl2_9
<=> ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
thf(f135,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f134]) ).
thf(f137,definition,
( spl2_10
<=> ! [X2: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
thf(f138,plain,
( ! [X2: $i] :
( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f137]) ).
thf(f139,plain,
( spl2_9
| spl2_10 ),
inference(avatar_split_clause,[],[f125,f137,f134]) ).
thf(f151,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ X0 ) @ X2 )
!= $true )
| ( $true
!= ( r @ sK1 @ X2 ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( r @ ( sK0 @ X0 ) @ X1 )
!= $true ) ),
inference(extensionality_resolution,[],[f56,f41]) ).
thf(f152,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ X2 ) )
| ( ( r @ ( sK0 @ X1 ) @ X2 )
!= $true ) ),
inference(extensionality_resolution,[],[f56,f41]) ).
thf(f156,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ X1 @ X2 )
!= $true ) ),
inference(constrained_superposition,[],[f56,f77]) ).
thf(f158,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f156]) ).
thf(f164,definition,
( spl2_11
<=> ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
thf(f165,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f164]) ).
thf(f167,definition,
( spl2_12
<=> ! [X2: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
thf(f168,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X1 ) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f167]) ).
thf(f169,plain,
( spl2_11
| spl2_12 ),
inference(avatar_split_clause,[],[f158,f167,f164]) ).
thf(f224,plain,
! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(extensionality_resolution,[],[f79,f41]) ).
thf(f296,plain,
! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ),
inference(constrained_superposition,[],[f84,f224]) ).
thf(f300,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
inference(constrained_superposition,[],[f30,f224]) ).
thf(f302,plain,
! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f300]) ).
thf(f306,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f296]) ).
thf(f308,definition,
( spl2_13
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
thf(f309,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f308]) ).
thf(f311,definition,
( spl2_14
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
thf(f312,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f311]) ).
thf(f315,definition,
( spl2_15
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
thf(f316,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f315]) ).
thf(f322,definition,
( spl2_17
<=> ! [X2: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
thf(f323,plain,
( ! [X2: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X2 ) )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f322]) ).
thf(f362,definition,
( spl2_19
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
thf(f363,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_19 ),
inference(avatar_component_clause,[],[f362]) ).
thf(f365,definition,
( spl2_20
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
thf(f366,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f365]) ).
thf(f369,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f152,f63,f60]) ).
thf(f389,definition,
( spl2_21
<=> ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
thf(f390,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_21 ),
inference(avatar_component_clause,[],[f389]) ).
thf(f392,definition,
( spl2_22
<=> ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
thf(f393,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f392]) ).
thf(f409,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(constrained_superposition,[],[f151,f77]) ).
thf(f412,plain,
! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(constrained_superposition,[],[f151,f224]) ).
thf(f416,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f409]) ).
thf(f417,plain,
! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
inference(trivial_inequality_removal,[],[f412]) ).
thf(f608,definition,
( spl2_31
<=> ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_31])],[avatar_definition]) ).
thf(f609,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_31 ),
inference(avatar_component_clause,[],[f608]) ).
thf(f611,definition,
( spl2_32
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
thf(f612,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_32 ),
inference(avatar_component_clause,[],[f611]) ).
thf(f631,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_17
| spl2_19 ),
inference(constrained_superposition,[],[f363,f323]) ).
thf(f646,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_17
| spl2_19 ),
inference(trivial_inequality_removal,[],[f631]) ).
thf(f650,plain,
( $false
| ~ spl2_17
| spl2_19 ),
inference(forward_subsumption_resolution,[],[f646,f41]) ).
thf(f651,plain,
( ~ spl2_17
| spl2_19 ),
inference(avatar_contradiction_clause,[],[f650]) ).
thf(f654,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| spl2_32 ),
inference(constrained_superposition,[],[f612,f51]) ).
thf(f663,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f31,f51]) ).
thf(f665,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_32 ),
inference(trivial_inequality_removal,[],[f654]) ).
thf(f668,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
= $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( $true
!= ( b @ X2 @ ( sK0 @ X0 ) ) )
| ( ( b @ X3 @ X1 )
!= $true ) ),
inference(trivial_inequality_removal,[],[f663]) ).
thf(f686,definition,
( spl2_33
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_33])],[avatar_definition]) ).
thf(f687,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ~ spl2_33 ),
inference(avatar_component_clause,[],[f686]) ).
thf(f689,definition,
( spl2_34
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
thf(f690,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f689]) ).
thf(f693,definition,
( spl2_35
<=> ! [X1: $i] :
( ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_35])],[avatar_definition]) ).
thf(f694,plain,
( ! [X1: $i] :
( ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 ) )
| ~ spl2_35 ),
inference(avatar_component_clause,[],[f693]) ).
thf(f700,definition,
( spl2_37
<=> ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_37])],[avatar_definition]) ).
thf(f701,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| spl2_37 ),
inference(avatar_component_clause,[],[f700]) ).
thf(f703,definition,
( spl2_38
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_38])],[avatar_definition]) ).
thf(f704,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_38 ),
inference(avatar_component_clause,[],[f703]) ).
thf(f709,plain,
( spl2_38
| spl2_32 ),
inference(avatar_split_clause,[],[f665,f611,f703]) ).
thf(f724,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f611]) ).
thf(f726,definition,
( spl2_39
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_39])],[avatar_definition]) ).
thf(f727,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_39 ),
inference(avatar_component_clause,[],[f726]) ).
thf(f728,plain,
( spl2_33
| spl2_32
| spl2_39 ),
inference(avatar_split_clause,[],[f417,f726,f611,f686]) ).
thf(f731,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_19 ),
inference(avatar_component_clause,[],[f362]) ).
thf(f734,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f138,f50]) ).
thf(f738,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f734]) ).
thf(f741,plain,
( $false
| ~ spl2_10
| spl2_37 ),
inference(forward_subsumption_resolution,[],[f738,f701]) ).
thf(f742,plain,
( ~ spl2_10
| spl2_37 ),
inference(avatar_contradiction_clause,[],[f741]) ).
thf(f744,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_32 ),
inference(constrained_superposition,[],[f31,f724]) ).
thf(f746,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_32 ),
inference(trivial_inequality_removal,[],[f744]) ).
thf(f780,definition,
( spl2_40
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_40])],[avatar_definition]) ).
thf(f781,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_40 ),
inference(avatar_component_clause,[],[f780]) ).
thf(f783,definition,
( spl2_41
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).
thf(f784,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_41 ),
inference(avatar_component_clause,[],[f783]) ).
thf(f805,definition,
( spl2_42
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_42])],[avatar_definition]) ).
thf(f806,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_42 ),
inference(avatar_component_clause,[],[f805]) ).
thf(f808,definition,
( spl2_43
<=> ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_43])],[avatar_definition]) ).
thf(f809,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| spl2_43 ),
inference(avatar_component_clause,[],[f808]) ).
thf(f815,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_2 ),
inference(constrained_superposition,[],[f64,f29]) ).
thf(f816,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_2 ),
inference(trivial_inequality_removal,[],[f815]) ).
thf(f817,plain,
( spl2_35
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f816,f63,f693]) ).
thf(f818,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_43 ),
inference(avatar_component_clause,[],[f808]) ).
thf(f820,definition,
( spl2_45
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_45])],[avatar_definition]) ).
thf(f821,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_45 ),
inference(avatar_component_clause,[],[f820]) ).
thf(f822,plain,
( spl2_10
| spl2_43
| spl2_45 ),
inference(avatar_split_clause,[],[f416,f820,f808,f137]) ).
thf(f831,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_10 ),
inference(constrained_superposition,[],[f138,f77]) ).
thf(f837,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f831]) ).
thf(f840,plain,
( spl2_11
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f837,f137,f164]) ).
thf(f841,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_21 ),
inference(constrained_superposition,[],[f390,f29]) ).
thf(f842,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_21 ),
inference(trivial_inequality_removal,[],[f841]) ).
thf(f843,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| spl2_21 ),
inference(forward_subsumption_resolution,[],[f842,f41]) ).
thf(f844,plain,
( spl2_43
| spl2_21 ),
inference(avatar_split_clause,[],[f843,f389,f808]) ).
thf(f845,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_43 ),
inference(constrained_superposition,[],[f31,f818]) ).
thf(f846,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f845]) ).
thf(f864,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_37 ),
inference(avatar_component_clause,[],[f700]) ).
thf(f872,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_37
| ~ spl2_43 ),
inference(constrained_superposition,[],[f846,f864]) ).
thf(f875,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_37
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f872]) ).
thf(f893,definition,
( spl2_48
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_48])],[avatar_definition]) ).
thf(f894,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_48 ),
inference(avatar_component_clause,[],[f893]) ).
thf(f911,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_35 ),
inference(constrained_superposition,[],[f31,f694]) ).
thf(f916,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ sK1 @ X2 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( sK1 = X0 )
| ( ( b @ X3 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f911]) ).
thf(f917,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_32
| ~ spl2_35 ),
inference(constrained_superposition,[],[f916,f724]) ).
thf(f919,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_35
| ~ spl2_43 ),
inference(constrained_superposition,[],[f916,f818]) ).
thf(f923,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_32
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f917]) ).
thf(f925,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_35
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f919]) ).
thf(f955,definition,
( spl2_50
<=> ! [X1: $i] :
( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_50])],[avatar_definition]) ).
thf(f956,plain,
( ! [X1: $i] :
( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ~ spl2_50 ),
inference(avatar_component_clause,[],[f955]) ).
thf(f980,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_33 ),
inference(constrained_superposition,[],[f687,f224]) ).
thf(f981,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_33 ),
inference(constrained_superposition,[],[f687,f78]) ).
thf(f985,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_33 ),
inference(constrained_superposition,[],[f687,f29]) ).
thf(f987,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f980]) ).
thf(f989,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f981]) ).
thf(f991,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_33 ),
inference(trivial_inequality_removal,[],[f985]) ).
thf(f992,plain,
( spl2_15
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f987,f686,f315]) ).
thf(f993,plain,
( spl2_14
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f989,f686,f311]) ).
thf(f994,plain,
( spl2_17
| ~ spl2_33 ),
inference(avatar_split_clause,[],[f991,f686,f322]) ).
thf(f1033,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_19
| ~ spl2_32
| ~ spl2_35 ),
inference(constrained_superposition,[],[f923,f731]) ).
thf(f1035,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f31,f731]) ).
thf(f1036,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_19
| ~ spl2_32
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f1033]) ).
thf(f1038,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f1035]) ).
thf(f1061,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_37
| ~ spl2_43 ),
inference(constrained_superposition,[],[f875,f312]) ).
thf(f1066,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_37
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f1061]) ).
thf(f1069,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_14
| ~ spl2_32
| ~ spl2_37
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f1066,f724]) ).
thf(f1071,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1 = X1 )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_15
| ~ spl2_32
| ~ spl2_35 ),
inference(constrained_superposition,[],[f923,f316]) ).
thf(f1075,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X2 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( sK1 = X1 )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_15
| ~ spl2_32
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f1071]) ).
thf(f1078,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_14
| ~ spl2_32
| ~ spl2_37
| ~ spl2_43 ),
inference(constrained_superposition,[],[f1069,f312]) ).
thf(f1082,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_14
| ~ spl2_32
| ~ spl2_37
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f1078]) ).
thf(f1087,plain,
( $false
| ~ spl2_14
| ~ spl2_32
| ~ spl2_37
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f1082,f864]) ).
thf(f1088,plain,
( ~ spl2_14
| ~ spl2_32
| ~ spl2_37
| ~ spl2_43 ),
inference(avatar_contradiction_clause,[],[f1087]) ).
thf(f1102,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_15
| ~ spl2_19
| ~ spl2_32
| ~ spl2_35 ),
inference(constrained_superposition,[],[f1036,f316]) ).
thf(f1105,plain,
( ! [X0: $i,X1: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_15
| ~ spl2_19
| ~ spl2_32
| ~ spl2_35 ),
inference(trivial_inequality_removal,[],[f1102]) ).
thf(f1107,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_15
| ~ spl2_19
| ~ spl2_32
| ~ spl2_35 ),
inference(forward_subsumption_resolution,[],[f1105,f41]) ).
thf(f1108,plain,
( spl2_20
| ~ spl2_15
| ~ spl2_19
| ~ spl2_32
| ~ spl2_35 ),
inference(avatar_split_clause,[],[f1107,f693,f611,f362,f315,f365]) ).
thf(f1109,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_20
| ~ spl2_22 ),
inference(constrained_superposition,[],[f366,f393]) ).
thf(f1112,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_20
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f1109]) ).
thf(f1113,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
= $true )
| ~ spl2_20
| ~ spl2_22
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f1112,f818]) ).
thf(f1136,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1 = X1 ) )
| ~ spl2_15
| ~ spl2_20
| ~ spl2_22
| ~ spl2_32
| ~ spl2_35
| ~ spl2_43 ),
inference(constrained_superposition,[],[f1075,f1113]) ).
thf(f1140,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( sK1 = X1 )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_15
| ~ spl2_20
| ~ spl2_22
| ~ spl2_32
| ~ spl2_35
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f1136]) ).
thf(f1143,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_15
| ~ spl2_20
| ~ spl2_22
| ~ spl2_32
| ~ spl2_35
| ~ spl2_43 ),
inference(constrained_superposition,[],[f1140,f316]) ).
thf(f1145,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ sK1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_15
| ~ spl2_20
| ~ spl2_22
| ~ spl2_32
| ~ spl2_35
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f1143]) ).
thf(f1148,plain,
( ! [X0: $i] :
( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_15
| ~ spl2_20
| ~ spl2_22
| ~ spl2_32
| ~ spl2_35
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f1145,f1113]) ).
thf(f1149,plain,
( $false
| ~ spl2_15
| ~ spl2_20
| ~ spl2_22
| ~ spl2_32
| ~ spl2_35
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f1148,f41]) ).
thf(f1150,plain,
( ~ spl2_15
| ~ spl2_20
| ~ spl2_22
| ~ spl2_32
| ~ spl2_35
| ~ spl2_43 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
thf(f1181,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_38
| ~ spl2_45 ),
inference(constrained_superposition,[],[f821,f704]) ).
thf(f1184,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_38
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f1181]) ).
thf(f1185,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_32
| ~ spl2_38
| ~ spl2_45 ),
inference(constrained_superposition,[],[f746,f1184]) ).
thf(f1190,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_32
| ~ spl2_38
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f1185]) ).
thf(f1195,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_32
| ~ spl2_38
| ~ spl2_43
| ~ spl2_45 ),
inference(forward_subsumption_resolution,[],[f1190,f818]) ).
thf(f1197,plain,
( spl2_42
| ~ spl2_32
| ~ spl2_38
| ~ spl2_43
| ~ spl2_45 ),
inference(avatar_split_clause,[],[f1195,f820,f808,f703,f611,f805]) ).
thf(f1198,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_19
| ~ spl2_42 ),
inference(constrained_superposition,[],[f806,f731]) ).
thf(f1202,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f1198]) ).
thf(f1204,plain,
( spl2_41
| ~ spl2_19
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f1202,f805,f362,f783]) ).
thf(f1205,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_38
| ~ spl2_41
| ~ spl2_45 ),
inference(constrained_superposition,[],[f784,f1184]) ).
thf(f1207,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_38
| ~ spl2_41
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f1205]) ).
thf(f1209,plain,
( $false
| ~ spl2_19
| ~ spl2_38
| ~ spl2_41
| ~ spl2_45 ),
inference(forward_subsumption_resolution,[],[f1207,f731]) ).
thf(f1210,plain,
( ~ spl2_19
| ~ spl2_38
| ~ spl2_41
| ~ spl2_45 ),
inference(avatar_contradiction_clause,[],[f1209]) ).
thf(f1280,definition,
( spl2_53
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_53])],[avatar_definition]) ).
thf(f1281,plain,
( ! [X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_53 ),
inference(avatar_component_clause,[],[f1280]) ).
thf(f1339,definition,
( spl2_55
<=> ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_55])],[avatar_definition]) ).
thf(f1340,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_55 ),
inference(avatar_component_clause,[],[f1339]) ).
thf(f1342,definition,
( spl2_56
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_56])],[avatar_definition]) ).
thf(f1343,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_56 ),
inference(avatar_component_clause,[],[f1342]) ).
thf(f1392,definition,
( spl2_57
<=> ! [X2: $i,X1: $i] :
( ( ( r @ X1 @ X2 )
!= $true )
| ( sK1 = X1 )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
!= ( r @ sK1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_57])],[avatar_definition]) ).
thf(f1393,plain,
( ! [X2: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X2 ) )
| ( ( r @ X1 @ X2 )
!= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X1 ) )
| ~ spl2_57 ),
inference(avatar_component_clause,[],[f1392]) ).
thf(f1494,definition,
( spl2_59
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_59])],[avatar_definition]) ).
thf(f1495,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_59 ),
inference(avatar_component_clause,[],[f1494]) ).
thf(f1497,definition,
( spl2_60
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_60])],[avatar_definition]) ).
thf(f1498,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_60 ),
inference(avatar_component_clause,[],[f1497]) ).
thf(f1520,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X1 @ sK1 ) )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X1 )
| ( $true != $true ) )
| ~ spl2_57 ),
inference(constrained_superposition,[],[f1393,f29]) ).
thf(f1522,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ X1 @ sK1 ) )
| ( sK1 = X0 )
| ( sK1 = X1 ) )
| ~ spl2_57 ),
inference(trivial_inequality_removal,[],[f1520]) ).
thf(f1600,definition,
( spl2_62
<=> ! [X1: $i] :
( ( b @ sK1 @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_62])],[avatar_definition]) ).
thf(f1601,plain,
( ! [X1: $i] :
( ( b @ sK1 @ X1 )
!= $true )
| ~ spl2_62 ),
inference(avatar_component_clause,[],[f1600]) ).
thf(f2302,definition,
( spl2_79
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_79])],[avatar_definition]) ).
thf(f2303,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_79 ),
inference(avatar_component_clause,[],[f2302]) ).
thf(f2304,plain,
( spl2_79
| spl2_13
| spl2_33 ),
inference(avatar_split_clause,[],[f306,f686,f308,f2302]) ).
thf(f2405,definition,
( spl2_82
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_82])],[avatar_definition]) ).
thf(f2406,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_82 ),
inference(avatar_component_clause,[],[f2405]) ).
thf(f2410,definition,
( spl2_83
<=> ! [X0: $i,X1: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_83])],[avatar_definition]) ).
thf(f2411,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_83 ),
inference(avatar_component_clause,[],[f2410]) ).
thf(f2413,plain,
( ( $true != $true )
| ~ spl2_2
| ~ spl2_38 ),
inference(constrained_superposition,[],[f64,f704]) ).
thf(f2415,plain,
( $false
| ~ spl2_2
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f2413]) ).
thf(f2416,plain,
( ~ spl2_2
| ~ spl2_38 ),
inference(avatar_contradiction_clause,[],[f2415]) ).
thf(f2486,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_40 ),
inference(avatar_component_clause,[],[f780]) ).
thf(f2520,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_14
| ~ spl2_19 ),
inference(constrained_superposition,[],[f1038,f312]) ).
thf(f2528,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_14
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f2520]) ).
thf(f2547,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_32
| ~ spl2_79 ),
inference(constrained_superposition,[],[f746,f2303]) ).
thf(f2564,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_32
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f2547]) ).
thf(f2572,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_32
| ~ spl2_43
| ~ spl2_79 ),
inference(forward_subsumption_resolution,[],[f2564,f818]) ).
thf(f2577,plain,
( spl2_42
| ~ spl2_32
| ~ spl2_43
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f2572,f2302,f808,f611,f805]) ).
thf(f2581,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_41
| ~ spl2_79 ),
inference(constrained_superposition,[],[f784,f2303]) ).
thf(f2584,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_41
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f2581]) ).
thf(f2586,plain,
( $false
| ~ spl2_19
| ~ spl2_41
| ~ spl2_79 ),
inference(forward_subsumption_resolution,[],[f2584,f731]) ).
thf(f2587,plain,
( ~ spl2_19
| ~ spl2_41
| ~ spl2_79 ),
inference(avatar_contradiction_clause,[],[f2586]) ).
thf(f2591,definition,
( spl2_85
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_85])],[avatar_definition]) ).
thf(f2592,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_85 ),
inference(avatar_component_clause,[],[f2591]) ).
thf(f2595,definition,
( spl2_86
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_86])],[avatar_definition]) ).
thf(f2596,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_86 ),
inference(avatar_component_clause,[],[f2595]) ).
thf(f2598,plain,
( ~ spl2_37
| spl2_85
| ~ spl2_14
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f2528,f362,f311,f2591,f700]) ).
thf(f2600,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_35
| ~ spl2_37
| ~ spl2_43 ),
inference(constrained_superposition,[],[f925,f864]) ).
thf(f2601,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_43 ),
inference(constrained_superposition,[],[f846,f864]) ).
thf(f2602,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_37 ),
inference(constrained_superposition,[],[f668,f864]) ).
thf(f2606,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f2602]) ).
thf(f2607,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f2601]) ).
thf(f2608,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_35
| ~ spl2_37
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f2600]) ).
thf(f2611,plain,
( spl2_82
| ~ spl2_37
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f2607,f808,f700,f2405]) ).
thf(f2612,plain,
( spl2_83
| ~ spl2_35
| ~ spl2_37
| ~ spl2_43 ),
inference(avatar_split_clause,[],[f2608,f808,f700,f693,f2410]) ).
thf(f2637,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_21 ),
inference(avatar_component_clause,[],[f389]) ).
thf(f2639,plain,
( spl2_82
| spl2_21
| ~ spl2_37 ),
inference(avatar_split_clause,[],[f2606,f700,f389,f2405]) ).
thf(f2641,definition,
( spl2_88
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_88])],[avatar_definition]) ).
thf(f2642,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_88 ),
inference(avatar_component_clause,[],[f2641]) ).
thf(f2656,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_43 ),
inference(constrained_superposition,[],[f31,f818]) ).
thf(f2657,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_43 ),
inference(trivial_inequality_removal,[],[f2656]) ).
thf(f2660,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_3 ),
inference(constrained_superposition,[],[f93,f50]) ).
thf(f2662,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| spl2_3 ),
inference(trivial_inequality_removal,[],[f2660]) ).
thf(f2664,plain,
( spl2_37
| spl2_3 ),
inference(avatar_split_clause,[],[f2662,f92,f700]) ).
thf(f2796,plain,
( $false
| ~ spl2_50
| ~ spl2_79 ),
inference(forward_subsumption_resolution,[],[f2303,f956]) ).
thf(f2797,plain,
( ~ spl2_50
| ~ spl2_79 ),
inference(avatar_contradiction_clause,[],[f2796]) ).
thf(f2822,plain,
( ! [X0: $i] :
( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_45
| ~ spl2_50 ),
inference(forward_subsumption_resolution,[],[f821,f956]) ).
thf(f2823,plain,
( ( $true != $true )
| ~ spl2_38
| ~ spl2_45
| ~ spl2_50 ),
inference(constrained_superposition,[],[f2822,f704]) ).
thf(f2825,plain,
( $false
| ~ spl2_38
| ~ spl2_45
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f2823]) ).
thf(f2826,plain,
( ~ spl2_38
| ~ spl2_45
| ~ spl2_50 ),
inference(avatar_contradiction_clause,[],[f2825]) ).
thf(f3307,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f130]) ).
thf(f3309,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_38 ),
inference(avatar_component_clause,[],[f703]) ).
thf(f3460,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_37
| ~ spl2_85 ),
inference(constrained_superposition,[],[f2592,f864]) ).
thf(f3463,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_37
| ~ spl2_85 ),
inference(duplicate_literal_removal,[],[f3460]) ).
thf(f3464,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_37
| ~ spl2_85 ),
inference(trivial_inequality_removal,[],[f3463]) ).
thf(f3466,plain,
( spl2_62
| ~ spl2_37
| ~ spl2_85 ),
inference(avatar_split_clause,[],[f3464,f2591,f700,f1600]) ).
thf(f3468,plain,
( ( $true != $true )
| ~ spl2_43
| ~ spl2_62 ),
inference(constrained_superposition,[],[f1601,f818]) ).
thf(f3469,plain,
( ( $true != $true )
| ~ spl2_32
| ~ spl2_62 ),
inference(constrained_superposition,[],[f1601,f724]) ).
thf(f3474,plain,
( $false
| ~ spl2_32
| ~ spl2_62 ),
inference(trivial_inequality_removal,[],[f3469]) ).
thf(f3475,plain,
( ~ spl2_32
| ~ spl2_62 ),
inference(avatar_contradiction_clause,[],[f3474]) ).
thf(f3477,plain,
( $false
| ~ spl2_43
| ~ spl2_62 ),
inference(trivial_inequality_removal,[],[f3468]) ).
thf(f3478,plain,
( ~ spl2_43
| ~ spl2_62 ),
inference(avatar_contradiction_clause,[],[f3477]) ).
thf(f3679,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_79 ),
inference(avatar_component_clause,[],[f2302]) ).
thf(f3766,definition,
( spl2_100
<=> ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_100])],[avatar_definition]) ).
thf(f3767,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_100 ),
inference(avatar_component_clause,[],[f3766]) ).
thf(f3919,definition,
( spl2_102
<=> ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_102])],[avatar_definition]) ).
thf(f3920,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_102 ),
inference(avatar_component_clause,[],[f3919]) ).
thf(f3922,definition,
( spl2_103
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_103])],[avatar_definition]) ).
thf(f3923,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_103 ),
inference(avatar_component_clause,[],[f3922]) ).
thf(f3944,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( r @ X1 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_12 ),
inference(constrained_superposition,[],[f168,f29]) ).
thf(f3947,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ X1 @ X0 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_12 ),
inference(trivial_inequality_removal,[],[f3944]) ).
thf(f4087,definition,
( spl2_107
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_107])],[avatar_definition]) ).
thf(f4088,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( sK0 @ sK1 )
= X1 )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X1 ) )
| ~ spl2_107 ),
inference(avatar_component_clause,[],[f4087]) ).
thf(f4145,definition,
( spl2_109
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_109])],[avatar_definition]) ).
thf(f4146,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_109 ),
inference(avatar_component_clause,[],[f4145]) ).
thf(f4541,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
!= ( sK0 @ sK1 ) )
| spl2_31 ),
inference(avatar_component_clause,[],[f608]) ).
thf(f4587,definition,
( spl2_118
<=> ! [X2: $i,X1: $i,X3: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_118])],[avatar_definition]) ).
thf(f4588,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_118 ),
inference(avatar_component_clause,[],[f4587]) ).
thf(f4612,definition,
( spl2_121
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_121])],[avatar_definition]) ).
thf(f4613,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_121 ),
inference(avatar_component_clause,[],[f4612]) ).
thf(f4615,definition,
( spl2_122
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_122])],[avatar_definition]) ).
thf(f4616,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_122 ),
inference(avatar_component_clause,[],[f4615]) ).
thf(f4619,definition,
( spl2_123
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_123])],[avatar_definition]) ).
thf(f4620,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_123 ),
inference(avatar_component_clause,[],[f4619]) ).
thf(f4622,definition,
( spl2_124
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_124])],[avatar_definition]) ).
thf(f4623,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_124 ),
inference(avatar_component_clause,[],[f4622]) ).
thf(f4626,definition,
( spl2_125
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_125])],[avatar_definition]) ).
thf(f4627,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_125 ),
inference(avatar_component_clause,[],[f4626]) ).
thf(f4629,definition,
( spl2_126
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_126])],[avatar_definition]) ).
thf(f4630,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_126 ),
inference(avatar_component_clause,[],[f4629]) ).
thf(f4712,plain,
( $false
| ~ spl2_2
| ~ spl2_21 ),
inference(forward_subsumption_resolution,[],[f2637,f64]) ).
thf(f4713,plain,
( ~ spl2_2
| ~ spl2_21 ),
inference(avatar_contradiction_clause,[],[f4712]) ).
thf(f4747,definition,
( spl2_127
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_127])],[avatar_definition]) ).
thf(f4748,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_127 ),
inference(avatar_component_clause,[],[f4747]) ).
thf(f4750,definition,
( spl2_128
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_128])],[avatar_definition]) ).
thf(f4751,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_128 ),
inference(avatar_component_clause,[],[f4750]) ).
thf(f4757,definition,
( spl2_129
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_129])],[avatar_definition]) ).
thf(f4758,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_129 ),
inference(avatar_component_clause,[],[f4757]) ).
thf(f4785,definition,
( spl2_130
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_130])],[avatar_definition]) ).
thf(f4786,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_130 ),
inference(avatar_component_clause,[],[f4785]) ).
thf(f4789,definition,
( spl2_131
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_131])],[avatar_definition]) ).
thf(f4790,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ~ spl2_131 ),
inference(avatar_component_clause,[],[f4789]) ).
thf(f4801,definition,
( spl2_134
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_134])],[avatar_definition]) ).
thf(f4802,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_134 ),
inference(avatar_component_clause,[],[f4801]) ).
thf(f4808,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_59 ),
inference(constrained_superposition,[],[f1495,f29]) ).
thf(f4811,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_59 ),
inference(trivial_inequality_removal,[],[f4808]) ).
thf(f4815,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| spl2_31
| spl2_59 ),
inference(forward_subsumption_resolution,[],[f4811,f4541]) ).
thf(f4818,plain,
( $false
| spl2_31
| spl2_59
| spl2_79 ),
inference(forward_subsumption_resolution,[],[f4815,f3679]) ).
thf(f4819,plain,
( spl2_31
| spl2_59
| spl2_79 ),
inference(avatar_contradiction_clause,[],[f4818]) ).
thf(f4820,plain,
( ( $true != $true )
| ~ spl2_125
| ~ spl2_131 ),
inference(constrained_superposition,[],[f4790,f4627]) ).
thf(f4821,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_131 ),
inference(constrained_superposition,[],[f4790,f78]) ).
thf(f4826,plain,
( $false
| ~ spl2_125
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f4820]) ).
thf(f4827,plain,
( ~ spl2_125
| ~ spl2_131 ),
inference(avatar_contradiction_clause,[],[f4826]) ).
thf(f4830,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f4821]) ).
thf(f4835,plain,
( spl2_134
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f4830,f4789,f4801]) ).
thf(f4871,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_60 ),
inference(constrained_superposition,[],[f31,f1498]) ).
thf(f4873,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_60 ),
inference(trivial_inequality_removal,[],[f4871]) ).
thf(f4885,plain,
( spl2_118
| ~ spl2_60 ),
inference(avatar_split_clause,[],[f4873,f1497,f4587]) ).
thf(f4898,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_127 ),
inference(avatar_component_clause,[],[f4747]) ).
thf(f4989,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_34 ),
inference(constrained_superposition,[],[f690,f224]) ).
thf(f4997,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f4989]) ).
thf(f5053,definition,
( spl2_137
<=> ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_137])],[avatar_definition]) ).
thf(f5054,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ~ spl2_137 ),
inference(avatar_component_clause,[],[f5053]) ).
thf(f5056,definition,
( spl2_138
<=> ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_138])],[avatar_definition]) ).
thf(f5057,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_138 ),
inference(avatar_component_clause,[],[f5056]) ).
thf(f5059,definition,
( spl2_139
<=> ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_139])],[avatar_definition]) ).
thf(f5060,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_139 ),
inference(avatar_component_clause,[],[f5059]) ).
thf(f5064,definition,
( spl2_140
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_140])],[avatar_definition]) ).
thf(f5065,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_140 ),
inference(avatar_component_clause,[],[f5064]) ).
thf(f5072,definition,
( spl2_142
<=> ! [X1: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_142])],[avatar_definition]) ).
thf(f5073,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) )
| ~ spl2_142 ),
inference(avatar_component_clause,[],[f5072]) ).
thf(f5077,definition,
( spl2_143
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_143])],[avatar_definition]) ).
thf(f5078,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_143 ),
inference(avatar_component_clause,[],[f5077]) ).
thf(f5093,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_143 ),
inference(constrained_superposition,[],[f84,f5078]) ).
thf(f5126,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_143 ),
inference(duplicate_literal_removal,[],[f5093]) ).
thf(f5136,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| spl2_40
| ~ spl2_143 ),
inference(forward_subsumption_resolution,[],[f5126,f781]) ).
thf(f5144,plain,
( spl2_10
| spl2_10
| spl2_40
| ~ spl2_143 ),
inference(avatar_split_clause,[],[f5136,f5077,f780,f137,f137]) ).
thf(f5146,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_139 ),
inference(constrained_superposition,[],[f5060,f77]) ).
thf(f5151,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_139 ),
inference(trivial_inequality_removal,[],[f5146]) ).
thf(f5154,plain,
( spl2_56
| spl2_139 ),
inference(avatar_split_clause,[],[f5151,f5059,f1342]) ).
thf(f5169,definition,
( spl2_144
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_144])],[avatar_definition]) ).
thf(f5170,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_144 ),
inference(avatar_component_clause,[],[f5169]) ).
thf(f5172,definition,
( spl2_145
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_145])],[avatar_definition]) ).
thf(f5173,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_145 ),
inference(avatar_component_clause,[],[f5172]) ).
thf(f5180,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_137 ),
inference(constrained_superposition,[],[f5054,f29]) ).
thf(f5181,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f5180]) ).
thf(f5186,plain,
( spl2_142
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f5181,f5053,f5072]) ).
thf(f5189,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_39
| ~ spl2_144 ),
inference(constrained_superposition,[],[f727,f5170]) ).
thf(f5202,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_39
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f5189]) ).
thf(f5204,definition,
( spl2_146
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_146])],[avatar_definition]) ).
thf(f5205,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_146 ),
inference(avatar_component_clause,[],[f5204]) ).
thf(f5350,definition,
( spl2_150
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_150])],[avatar_definition]) ).
thf(f5351,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_150 ),
inference(avatar_component_clause,[],[f5350]) ).
thf(f5355,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_144
| ~ spl2_150 ),
inference(constrained_superposition,[],[f5170,f5351]) ).
thf(f5356,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_39
| ~ spl2_144
| ~ spl2_150 ),
inference(constrained_superposition,[],[f5202,f5351]) ).
thf(f5361,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_150 ),
inference(constrained_superposition,[],[f302,f5351]) ).
thf(f5390,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_150 ),
inference(duplicate_literal_removal,[],[f5361]) ).
thf(f5391,plain,
( spl2_60
| ~ spl2_39
| ~ spl2_144
| ~ spl2_150 ),
inference(avatar_split_clause,[],[f5356,f5350,f5169,f726,f1497]) ).
thf(f5393,plain,
( spl2_60
| spl2_33
| spl2_33
| ~ spl2_150 ),
inference(avatar_split_clause,[],[f5390,f5350,f686,f686,f1497]) ).
thf(f5394,plain,
( $false
| spl2_38
| ~ spl2_144
| ~ spl2_150 ),
inference(forward_subsumption_resolution,[],[f5355,f3309]) ).
thf(f5395,plain,
( spl2_38
| ~ spl2_144
| ~ spl2_150 ),
inference(avatar_contradiction_clause,[],[f5394]) ).
thf(f5408,plain,
( $false
| ~ spl2_50
| ~ spl2_138 ),
inference(forward_subsumption_resolution,[],[f5057,f956]) ).
thf(f5409,plain,
( ~ spl2_50
| ~ spl2_138 ),
inference(avatar_contradiction_clause,[],[f5408]) ).
thf(f5443,definition,
( spl2_151
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_151])],[avatar_definition]) ).
thf(f5444,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_151 ),
inference(avatar_component_clause,[],[f5443]) ).
thf(f5458,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_151 ),
inference(constrained_superposition,[],[f5444,f29]) ).
thf(f5461,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| spl2_151 ),
inference(trivial_inequality_removal,[],[f5458]) ).
thf(f5464,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| spl2_31
| spl2_151 ),
inference(forward_subsumption_resolution,[],[f5461,f4541]) ).
thf(f5465,plain,
( spl2_14
| spl2_31
| spl2_151 ),
inference(avatar_split_clause,[],[f5464,f5443,f608,f311]) ).
thf(f5506,definition,
( spl2_152
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_152])],[avatar_definition]) ).
thf(f5507,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_152 ),
inference(avatar_component_clause,[],[f5506]) ).
thf(f5509,definition,
( spl2_153
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_153])],[avatar_definition]) ).
thf(f5510,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_153 ),
inference(avatar_component_clause,[],[f5509]) ).
thf(f5521,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_152 ),
inference(constrained_superposition,[],[f5507,f78]) ).
thf(f5524,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_152 ),
inference(trivial_inequality_removal,[],[f5521]) ).
thf(f5527,plain,
( spl2_134
| spl2_152 ),
inference(avatar_split_clause,[],[f5524,f5506,f4801]) ).
thf(f5538,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_153 ),
inference(avatar_component_clause,[],[f5509]) ).
thf(f5540,definition,
( spl2_154
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_154])],[avatar_definition]) ).
thf(f5541,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_154 ),
inference(avatar_component_clause,[],[f5540]) ).
thf(f5554,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_35
| spl2_154 ),
inference(constrained_superposition,[],[f5541,f694]) ).
thf(f5558,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_35
| spl2_154 ),
inference(trivial_inequality_removal,[],[f5554]) ).
thf(f5561,plain,
( $false
| ~ spl2_35
| spl2_154 ),
inference(forward_subsumption_resolution,[],[f5558,f41]) ).
thf(f5562,plain,
( ~ spl2_35
| spl2_154 ),
inference(avatar_contradiction_clause,[],[f5561]) ).
thf(f5563,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_137 ),
inference(constrained_superposition,[],[f5054,f78]) ).
thf(f5572,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f5563]) ).
thf(f5573,plain,
( spl2_153
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f5572,f5053,f5509]) ).
thf(f5603,definition,
( spl2_156
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_156])],[avatar_definition]) ).
thf(f5604,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_156 ),
inference(avatar_component_clause,[],[f5603]) ).
thf(f5613,definition,
( spl2_157
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_157])],[avatar_definition]) ).
thf(f5614,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_157 ),
inference(avatar_component_clause,[],[f5613]) ).
thf(f5659,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f309,f77]) ).
thf(f5663,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f5659]) ).
thf(f5666,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ~ spl2_13
| ~ spl2_50 ),
inference(forward_subsumption_resolution,[],[f5663,f956]) ).
thf(f5669,plain,
( spl2_15
| ~ spl2_13
| ~ spl2_50 ),
inference(avatar_split_clause,[],[f5666,f955,f308,f315]) ).
thf(f5708,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_126
| ~ spl2_129 ),
inference(constrained_superposition,[],[f4758,f4630]) ).
thf(f5714,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_126
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f5708]) ).
thf(f5715,plain,
( $false
| ~ spl2_19
| ~ spl2_126
| ~ spl2_129 ),
inference(forward_subsumption_resolution,[],[f5714,f731]) ).
thf(f5716,plain,
( ~ spl2_19
| ~ spl2_126
| ~ spl2_129 ),
inference(avatar_contradiction_clause,[],[f5715]) ).
thf(f5785,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| spl2_31 ),
inference(extensionality_resolution,[],[f56,f4541]) ).
thf(f5795,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_37 ),
inference(constrained_superposition,[],[f31,f864]) ).
thf(f5797,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f5795]) ).
thf(f5846,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_56
| ~ spl2_83 ),
inference(constrained_superposition,[],[f2411,f1343]) ).
thf(f5857,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_56
| ~ spl2_83 ),
inference(trivial_inequality_removal,[],[f5846]) ).
thf(f5860,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_56
| ~ spl2_83 ),
inference(forward_subsumption_resolution,[],[f5857,f41]) ).
thf(f5893,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_56
| ~ spl2_83
| ~ spl2_126 ),
inference(constrained_superposition,[],[f5860,f4630]) ).
thf(f5898,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_56
| ~ spl2_83
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f5893]) ).
thf(f5901,plain,
( $false
| ~ spl2_32
| ~ spl2_56
| ~ spl2_83
| ~ spl2_126 ),
inference(forward_subsumption_resolution,[],[f5898,f724]) ).
thf(f5902,plain,
( ~ spl2_32
| ~ spl2_56
| ~ spl2_83
| ~ spl2_126 ),
inference(avatar_contradiction_clause,[],[f5901]) ).
thf(f5998,definition,
( spl2_158
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_158])],[avatar_definition]) ).
thf(f5999,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_158 ),
inference(avatar_component_clause,[],[f5998]) ).
thf(f6046,definition,
( spl2_159
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_159])],[avatar_definition]) ).
thf(f6047,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_159 ),
inference(avatar_component_clause,[],[f6046]) ).
thf(f6050,definition,
( spl2_160
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_160])],[avatar_definition]) ).
thf(f6051,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_160 ),
inference(avatar_component_clause,[],[f6050]) ).
thf(f6052,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_55 ),
inference(avatar_component_clause,[],[f1339]) ).
thf(f6055,definition,
( spl2_161
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_161])],[avatar_definition]) ).
thf(f6056,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_161 ),
inference(avatar_component_clause,[],[f6055]) ).
thf(f6059,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_45
| ~ spl2_55 ),
inference(constrained_superposition,[],[f821,f6052]) ).
thf(f6070,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_45
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f6059]) ).
thf(f6075,definition,
( spl2_162
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_162])],[avatar_definition]) ).
thf(f6076,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_162 ),
inference(avatar_component_clause,[],[f6075]) ).
thf(f6078,plain,
( spl2_56
| ~ spl2_45
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f6070,f1339,f820,f1342]) ).
thf(f6081,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_122
| ~ spl2_159 ),
inference(constrained_superposition,[],[f6047,f4616]) ).
thf(f6086,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_122
| ~ spl2_159 ),
inference(trivial_inequality_removal,[],[f6081]) ).
thf(f6087,plain,
( $false
| ~ spl2_122
| ~ spl2_126
| ~ spl2_159 ),
inference(forward_subsumption_resolution,[],[f6086,f4630]) ).
thf(f6088,plain,
( ~ spl2_122
| ~ spl2_126
| ~ spl2_159 ),
inference(avatar_contradiction_clause,[],[f6087]) ).
thf(f6130,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f6076,f78]) ).
thf(f6131,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f6076,f79]) ).
thf(f6133,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f6076,f52]) ).
thf(f6134,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f6076,f29]) ).
thf(f6136,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f6131]) ).
thf(f6137,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f6133]) ).
thf(f6138,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f6130]) ).
thf(f6139,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
= $true ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f6134]) ).
thf(f6170,plain,
( spl2_39
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f4997,f689,f726]) ).
thf(f6171,plain,
( ( $true != $true )
| ~ spl2_2
| ~ spl2_55 ),
inference(constrained_superposition,[],[f64,f6052]) ).
thf(f6173,plain,
( $false
| ~ spl2_2
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f6171]) ).
thf(f6174,plain,
( ~ spl2_2
| ~ spl2_55 ),
inference(avatar_contradiction_clause,[],[f6173]) ).
thf(f6187,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_12
| ~ spl2_124 ),
inference(constrained_superposition,[],[f3947,f4623]) ).
thf(f6194,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_12
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f6187]) ).
thf(f6202,plain,
( spl2_134
| spl2_102
| spl2_138
| spl2_143
| ~ spl2_12
| ~ spl2_124 ),
inference(avatar_split_clause,[],[f6194,f4622,f167,f5077,f5056,f3919,f4801]) ).
thf(f6204,definition,
( spl2_165
<=> ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_165])],[avatar_definition]) ).
thf(f6205,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_165 ),
inference(avatar_component_clause,[],[f6204]) ).
thf(f6208,definition,
( spl2_166
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_166])],[avatar_definition]) ).
thf(f6209,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_166 ),
inference(avatar_component_clause,[],[f6208]) ).
thf(f6215,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_123
| ~ spl2_128 ),
inference(constrained_superposition,[],[f4751,f4620]) ).
thf(f6224,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_123
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f6215]) ).
thf(f6238,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ X1 ) ) ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f61,f52]) ).
thf(f6242,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f61,f224]) ).
thf(f6243,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( sK0 @ X0 )
= X1 ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f61,f29]) ).
thf(f6244,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ X1 ) ) )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ X0 ) @ ( sK0 @ X1 ) ) ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f6238]) ).
thf(f6249,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f6242]) ).
thf(f6251,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( sK0 @ X0 )
= X1 )
| ( $true
= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f6243]) ).
thf(f6253,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_55 ),
inference(constrained_superposition,[],[f727,f6052]) ).
thf(f6255,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_39
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f6253]) ).
thf(f6257,plain,
( spl2_166
| ~ spl2_39
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f6255,f1339,f726,f6208]) ).
thf(f6352,plain,
( ~ spl2_153
| ~ spl2_123
| ~ spl2_128 ),
inference(avatar_split_clause,[],[f6224,f4750,f4619,f5509]) ).
thf(f6394,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_82
| ~ spl2_153 ),
inference(constrained_superposition,[],[f2406,f5510]) ).
thf(f6405,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_82
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f6394]) ).
thf(f6409,plain,
( spl2_157
| ~ spl2_154
| ~ spl2_82
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f6405,f5509,f2405,f5540,f5613]) ).
thf(f6411,definition,
( spl2_167
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_167])],[avatar_definition]) ).
thf(f6412,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_167 ),
inference(avatar_component_clause,[],[f6411]) ).
thf(f6460,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f30,f4613]) ).
thf(f6461,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f6460]) ).
thf(f6472,plain,
( spl2_131
| spl2_140
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f6461,f4612,f5064,f4789]) ).
thf(f6486,plain,
( ( $true != $true )
| ~ spl2_121
| ~ spl2_137 ),
inference(constrained_superposition,[],[f5054,f4613]) ).
thf(f6497,plain,
( $false
| ~ spl2_121
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f6486]) ).
thf(f6498,plain,
( ~ spl2_121
| ~ spl2_137 ),
inference(avatar_contradiction_clause,[],[f6497]) ).
thf(f6504,definition,
( spl2_168
<=> ! [X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_168])],[avatar_definition]) ).
thf(f6505,plain,
( ! [X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_168 ),
inference(avatar_component_clause,[],[f6504]) ).
thf(f6506,plain,
( spl2_10
| spl2_14
| spl2_168
| spl2_31 ),
inference(avatar_split_clause,[],[f5785,f608,f6504,f311,f137]) ).
thf(f6512,definition,
( spl2_169
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_169])],[avatar_definition]) ).
thf(f6513,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_169 ),
inference(avatar_component_clause,[],[f6512]) ).
thf(f6515,definition,
( spl2_170
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_170])],[avatar_definition]) ).
thf(f6516,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_170 ),
inference(avatar_component_clause,[],[f6515]) ).
thf(f6540,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_102 ),
inference(constrained_superposition,[],[f77,f3920]) ).
thf(f6546,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_102 ),
inference(constrained_superposition,[],[f302,f3920]) ).
thf(f6566,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_102 ),
inference(duplicate_literal_removal,[],[f6546]) ).
thf(f6569,plain,
( ( $true
= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) ) )
| spl2_40
| ~ spl2_102 ),
inference(forward_subsumption_resolution,[],[f6540,f781]) ).
thf(f6571,plain,
( spl2_33
| spl2_60
| spl2_33
| ~ spl2_102 ),
inference(avatar_split_clause,[],[f6566,f3919,f686,f1497,f686]) ).
thf(f6581,plain,
( $false
| spl2_8
| spl2_40
| ~ spl2_102 ),
inference(forward_subsumption_resolution,[],[f6569,f131]) ).
thf(f6582,plain,
( spl2_8
| spl2_40
| ~ spl2_102 ),
inference(avatar_contradiction_clause,[],[f6581]) ).
thf(f6583,plain,
( $false
| ~ spl2_8
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f3307,f138]) ).
thf(f6584,plain,
( ~ spl2_8
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f6583]) ).
thf(f6683,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f31,f2303]) ).
thf(f6692,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f6683]) ).
thf(f6700,plain,
( spl2_100
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f6692,f2302,f3766]) ).
thf(f6720,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_82
| ~ spl2_134 ),
inference(constrained_superposition,[],[f2406,f4802]) ).
thf(f6726,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_82
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f6720]) ).
thf(f6753,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_125 ),
inference(constrained_superposition,[],[f84,f4627]) ).
thf(f6764,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f6753]) ).
thf(f6863,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl2_11
| ~ spl2_83 ),
inference(constrained_superposition,[],[f2411,f165]) ).
thf(f6875,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true ) )
| ~ spl2_11
| ~ spl2_83 ),
inference(trivial_inequality_removal,[],[f6863]) ).
thf(f6880,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_11
| ~ spl2_83 ),
inference(forward_subsumption_resolution,[],[f6875,f41]) ).
thf(f6884,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_11
| ~ spl2_83
| ~ spl2_123 ),
inference(constrained_superposition,[],[f6880,f4620]) ).
thf(f6885,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_11
| ~ spl2_83
| ~ spl2_134 ),
inference(constrained_superposition,[],[f6880,f4802]) ).
thf(f6887,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_11
| ~ spl2_83
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f6884]) ).
thf(f6889,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_11
| ~ spl2_83
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f6885]) ).
thf(f6890,plain,
( ~ spl2_154
| ~ spl2_11
| ~ spl2_83
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f6887,f4619,f2410,f164,f5540]) ).
thf(f6891,plain,
( $false
| ~ spl2_11
| ~ spl2_43
| ~ spl2_83
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f6889,f818]) ).
thf(f6892,plain,
( ~ spl2_11
| ~ spl2_43
| ~ spl2_83
| ~ spl2_134 ),
inference(avatar_contradiction_clause,[],[f6891]) ).
thf(f6908,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_129
| ~ spl2_134 ),
inference(constrained_superposition,[],[f4758,f4802]) ).
thf(f6912,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_129
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f6908]) ).
thf(f6913,plain,
( $false
| ~ spl2_37
| ~ spl2_129
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f6912,f864]) ).
thf(f6914,plain,
( ~ spl2_37
| ~ spl2_129
| ~ spl2_134 ),
inference(avatar_contradiction_clause,[],[f6913]) ).
thf(f6915,plain,
( spl2_129
| ~ spl2_127
| ~ spl2_82
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f6726,f4801,f2405,f4747,f4757]) ).
thf(f6917,definition,
( spl2_171
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_171])],[avatar_definition]) ).
thf(f6918,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_171 ),
inference(avatar_component_clause,[],[f6917]) ).
thf(f6920,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true != $true )
| spl2_127 ),
inference(constrained_superposition,[],[f4748,f51]) ).
thf(f6922,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_127 ),
inference(trivial_inequality_removal,[],[f6920]) ).
thf(f6924,plain,
( spl2_55
| spl2_127 ),
inference(avatar_split_clause,[],[f6922,f4747,f1339]) ).
thf(f6939,definition,
( spl2_172
<=> ! [X0: $i] :
( ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_172])],[avatar_definition]) ).
thf(f6940,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_172 ),
inference(avatar_component_clause,[],[f6939]) ).
thf(f6944,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_53
| ~ spl2_166 ),
inference(constrained_superposition,[],[f1281,f6209]) ).
thf(f6950,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_53
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f6944]) ).
thf(f6997,definition,
( spl2_174
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_174])],[avatar_definition]) ).
thf(f6998,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_174 ),
inference(avatar_component_clause,[],[f6997]) ).
thf(f7001,definition,
( spl2_175
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_175])],[avatar_definition]) ).
thf(f7002,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_175 ),
inference(avatar_component_clause,[],[f7001]) ).
thf(f7003,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_174 ),
inference(avatar_component_clause,[],[f6997]) ).
thf(f7005,plain,
( ~ spl2_174
| ~ spl2_53
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f6950,f6208,f1280,f6997]) ).
thf(f7009,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_175 ),
inference(constrained_superposition,[],[f7002,f29]) ).
thf(f7010,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_175 ),
inference(trivial_inequality_removal,[],[f7009]) ).
thf(f7012,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| spl2_175 ),
inference(forward_subsumption_resolution,[],[f7010,f41]) ).
thf(f7015,plain,
( $false
| spl2_19
| spl2_175 ),
inference(forward_subsumption_resolution,[],[f7012,f363]) ).
thf(f7016,plain,
( spl2_19
| spl2_175 ),
inference(avatar_contradiction_clause,[],[f7015]) ).
thf(f7023,plain,
( ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_154 ),
inference(constrained_superposition,[],[f5541,f51]) ).
thf(f7025,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_154 ),
inference(trivial_inequality_removal,[],[f7023]) ).
thf(f7027,plain,
( spl2_144
| spl2_154 ),
inference(avatar_split_clause,[],[f7025,f5540,f5169]) ).
thf(f7029,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_144 ),
inference(constrained_superposition,[],[f727,f5170]) ).
thf(f7036,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_39
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f7029]) ).
thf(f7041,plain,
( spl2_170
| ~ spl2_39
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f7036,f5169,f726,f6515]) ).
thf(f7071,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| spl2_165 ),
inference(constrained_superposition,[],[f6205,f77]) ).
thf(f7075,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_165 ),
inference(trivial_inequality_removal,[],[f7071]) ).
thf(f7078,plain,
( spl2_138
| spl2_165 ),
inference(avatar_split_clause,[],[f7075,f6204,f5056]) ).
thf(f7100,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_42
| ~ spl2_166 ),
inference(constrained_superposition,[],[f806,f6209]) ).
thf(f7104,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_42
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f7100]) ).
thf(f7109,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_42
| ~ spl2_166 ),
inference(constrained_superposition,[],[f7104,f6209]) ).
thf(f7111,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_42
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f7109]) ).
thf(f7116,plain,
( spl2_56
| spl2_131
| ~ spl2_59
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f6764,f4626,f1494,f4789,f1342]) ).
thf(f7117,plain,
( ~ spl2_79
| ~ spl2_42
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f7111,f6208,f805,f2302]) ).
thf(f7123,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_41
| ~ spl2_56 ),
inference(constrained_superposition,[],[f784,f1343]) ).
thf(f7133,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_41
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f7123]) ).
thf(f7137,plain,
( $false
| ~ spl2_41
| ~ spl2_56
| ~ spl2_174 ),
inference(forward_subsumption_resolution,[],[f7133,f7003]) ).
thf(f7138,plain,
( ~ spl2_41
| ~ spl2_56
| ~ spl2_174 ),
inference(avatar_contradiction_clause,[],[f7137]) ).
thf(f7164,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_124
| ~ spl2_130 ),
inference(constrained_superposition,[],[f4786,f4623]) ).
thf(f7165,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_124
| ~ spl2_162 ),
inference(constrained_superposition,[],[f6076,f4623]) ).
thf(f7181,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_124
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f7164]) ).
thf(f7182,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_124
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f7165]) ).
thf(f7192,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_144 ),
inference(avatar_component_clause,[],[f5169]) ).
thf(f7194,plain,
( ~ spl2_144
| ~ spl2_124
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f7182,f6075,f4622,f5169]) ).
thf(f7202,plain,
( ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_144 ),
inference(constrained_superposition,[],[f7192,f29]) ).
thf(f7203,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_144 ),
inference(trivial_inequality_removal,[],[f7202]) ).
thf(f7204,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_144 ),
inference(forward_subsumption_resolution,[],[f7203,f41]) ).
thf(f7207,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_124
| ~ spl2_130 ),
inference(constrained_superposition,[],[f7181,f224]) ).
thf(f7212,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_124
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f7207]) ).
thf(f7216,plain,
( spl2_170
| ~ spl2_124
| ~ spl2_130 ),
inference(avatar_split_clause,[],[f7212,f4785,f4622,f6515]) ).
thf(f7219,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_121
| ~ spl2_146 ),
inference(constrained_superposition,[],[f5205,f4613]) ).
thf(f7230,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_121
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f7219]) ).
thf(f7238,plain,
( $false
| ~ spl2_55
| ~ spl2_121
| ~ spl2_146 ),
inference(forward_subsumption_resolution,[],[f7230,f6052]) ).
thf(f7239,plain,
( ~ spl2_55
| ~ spl2_121
| ~ spl2_146 ),
inference(avatar_contradiction_clause,[],[f7238]) ).
thf(f7257,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_169 ),
inference(constrained_superposition,[],[f6513,f78]) ).
thf(f7262,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f7257]) ).
thf(f7268,plain,
( ~ spl2_151
| spl2_153
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f7262,f6512,f5509,f5443]) ).
thf(f7270,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_153
| ~ spl2_157 ),
inference(constrained_superposition,[],[f5614,f5510]) ).
thf(f7271,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f668,f5510]) ).
thf(f7274,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_153
| ~ spl2_157 ),
inference(trivial_inequality_removal,[],[f7270]) ).
thf(f7275,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f7271]) ).
thf(f7277,plain,
( $false
| ~ spl2_37
| ~ spl2_153
| ~ spl2_157 ),
inference(forward_subsumption_resolution,[],[f7274,f864]) ).
thf(f7278,plain,
( ~ spl2_37
| ~ spl2_153
| ~ spl2_157 ),
inference(avatar_contradiction_clause,[],[f7277]) ).
thf(f7279,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| spl2_144
| ~ spl2_153 ),
inference(forward_subsumption_resolution,[],[f7275,f7192]) ).
thf(f7280,plain,
( spl2_167
| spl2_144
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f7279,f5509,f5169,f6411]) ).
thf(f7306,definition,
( spl2_177
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_177])],[avatar_definition]) ).
thf(f7307,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_177 ),
inference(avatar_component_clause,[],[f7306]) ).
thf(f7309,definition,
( spl2_178
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_178])],[avatar_definition]) ).
thf(f7310,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_178 ),
inference(avatar_component_clause,[],[f7309]) ).
thf(f7316,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f309,f77]) ).
thf(f7321,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f7316]) ).
thf(f7325,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f135,f224]) ).
thf(f7327,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_9 ),
inference(constrained_superposition,[],[f135,f50]) ).
thf(f7334,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f7327]) ).
thf(f7335,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_9 ),
inference(trivial_inequality_removal,[],[f7325]) ).
thf(f7374,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_37
| ~ spl2_56 ),
inference(constrained_superposition,[],[f5797,f1343]) ).
thf(f7379,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f7374]) ).
thf(f7380,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_37
| ~ spl2_56
| ~ spl2_174 ),
inference(forward_subsumption_resolution,[],[f7379,f7003]) ).
thf(f7383,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_37
| ~ spl2_56
| ~ spl2_174 ),
inference(constrained_superposition,[],[f7380,f7003]) ).
thf(f7385,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_37
| ~ spl2_56
| ~ spl2_174 ),
inference(duplicate_literal_removal,[],[f7383]) ).
thf(f7386,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_37
| ~ spl2_56
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f7385]) ).
thf(f7390,plain,
( spl2_62
| ~ spl2_37
| ~ spl2_56
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f7386,f6997,f1342,f700,f1600]) ).
thf(f7394,plain,
( spl2_22
| ~ spl2_3
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f7334,f134,f92,f392]) ).
thf(f7396,definition,
( spl2_179
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_179])],[avatar_definition]) ).
thf(f7397,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_179 ),
inference(avatar_component_clause,[],[f7396]) ).
thf(f7421,definition,
( spl2_181
<=> ! [X0: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_181])],[avatar_definition]) ).
thf(f7422,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_181 ),
inference(avatar_component_clause,[],[f7421]) ).
thf(f7425,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_14
| ~ spl2_42 ),
inference(constrained_superposition,[],[f806,f312]) ).
thf(f7431,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_14
| ~ spl2_42 ),
inference(trivial_inequality_removal,[],[f7425]) ).
thf(f7434,plain,
( spl2_109
| ~ spl2_14
| ~ spl2_42 ),
inference(avatar_split_clause,[],[f7431,f805,f311,f4145]) ).
thf(f7453,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f7422,f52]) ).
thf(f7457,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f7453]) ).
thf(f7464,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_79
| ~ spl2_109 ),
inference(constrained_superposition,[],[f4146,f2303]) ).
thf(f7466,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_79
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f7464]) ).
thf(f7468,plain,
( $false
| ~ spl2_14
| ~ spl2_79
| ~ spl2_109 ),
inference(forward_subsumption_resolution,[],[f7466,f312]) ).
thf(f7469,plain,
( ~ spl2_14
| ~ spl2_79
| ~ spl2_109 ),
inference(avatar_contradiction_clause,[],[f7468]) ).
thf(f7505,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ sK1 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_31 ),
inference(constrained_superposition,[],[f49,f609]) ).
thf(f7549,plain,
( ~ spl2_21
| spl2_134
| ~ spl2_162 ),
inference(avatar_split_clause,[],[f6138,f6075,f4801,f389]) ).
thf(f7561,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_31 ),
inference(equality_resolution,[],[f7505]) ).
thf(f7562,plain,
( $false
| ~ spl2_31 ),
inference(forward_subsumption_resolution,[],[f7561,f41]) ).
thf(f7563,plain,
~ spl2_31,
inference(avatar_contradiction_clause,[],[f7562]) ).
thf(f7568,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_31 ),
inference(extensionality_resolution,[],[f79,f4541]) ).
thf(f7569,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_31 ),
inference(extensionality_resolution,[],[f79,f4541]) ).
thf(f7572,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_31 ),
inference(extensionality_resolution,[],[f52,f4541]) ).
thf(f7576,plain,
( spl2_123
| spl2_124
| spl2_31 ),
inference(avatar_split_clause,[],[f7569,f608,f4622,f4619]) ).
thf(f7577,plain,
( spl2_126
| spl2_125
| spl2_31 ),
inference(avatar_split_clause,[],[f7572,f608,f4626,f4629]) ).
thf(f7578,plain,
( spl2_122
| spl2_121
| spl2_31 ),
inference(avatar_split_clause,[],[f7568,f608,f4612,f4615]) ).
thf(f7607,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f668,f1343]) ).
thf(f7608,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_56 ),
inference(constrained_superposition,[],[f31,f1343]) ).
thf(f7609,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f7607]) ).
thf(f7610,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f7608]) ).
thf(f7611,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| spl2_21
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f7609,f390]) ).
thf(f7614,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f31,f4802]) ).
thf(f7615,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f7614]) ).
thf(f7682,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_56
| ~ spl2_109 ),
inference(constrained_superposition,[],[f4146,f1343]) ).
thf(f7685,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_56
| ~ spl2_109 ),
inference(trivial_inequality_removal,[],[f7682]) ).
thf(f7686,plain,
( $false
| ~ spl2_56
| ~ spl2_109
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f7685,f4802]) ).
thf(f7687,plain,
( ~ spl2_56
| ~ spl2_109
| ~ spl2_134 ),
inference(avatar_contradiction_clause,[],[f7686]) ).
thf(f7688,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_53
| ~ spl2_170 ),
inference(constrained_superposition,[],[f1281,f6516]) ).
thf(f7691,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_53
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f7688]) ).
thf(f7694,plain,
( $false
| ~ spl2_53
| ~ spl2_170
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f7691,f7310]) ).
thf(f7695,plain,
( ~ spl2_53
| ~ spl2_170
| ~ spl2_178 ),
inference(avatar_contradiction_clause,[],[f7694]) ).
thf(f7697,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| spl2_177 ),
inference(constrained_superposition,[],[f7307,f50]) ).
thf(f7699,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| spl2_177 ),
inference(trivial_inequality_removal,[],[f7697]) ).
thf(f7761,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_45 ),
inference(constrained_superposition,[],[f821,f29]) ).
thf(f7762,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f7761]) ).
thf(f7763,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_45 ),
inference(forward_subsumption_resolution,[],[f7762,f41]) ).
thf(f7769,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_130 ),
inference(constrained_superposition,[],[f4786,f52]) ).
thf(f7773,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f7769]) ).
thf(f7833,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_55
| ~ spl2_57 ),
inference(constrained_superposition,[],[f1393,f6052]) ).
thf(f7844,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_55
| ~ spl2_57 ),
inference(trivial_inequality_removal,[],[f7833]) ).
thf(f7846,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f668,f7310]) ).
thf(f7848,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f7846]) ).
thf(f7850,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| spl2_144
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f7848,f7192]) ).
thf(f7851,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f668,f6209]) ).
thf(f7852,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f31,f6209]) ).
thf(f7853,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f7851]) ).
thf(f7854,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f7852]) ).
thf(f7855,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_38
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f7853,f3309]) ).
thf(f7860,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| spl2_21
| ~ spl2_56 ),
inference(constrained_superposition,[],[f7611,f1343]) ).
thf(f7862,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true ) )
| spl2_21
| ~ spl2_56 ),
inference(duplicate_literal_removal,[],[f7860]) ).
thf(f7863,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| spl2_21
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f7862]) ).
thf(f7870,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_14
| spl2_21
| ~ spl2_56 ),
inference(constrained_superposition,[],[f7863,f312]) ).
thf(f7871,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| spl2_21
| ~ spl2_56
| ~ spl2_134 ),
inference(constrained_superposition,[],[f7863,f4802]) ).
thf(f7872,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_14
| spl2_21
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f7870]) ).
thf(f7876,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_21
| ~ spl2_56
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f7871]) ).
thf(f7877,plain,
( $false
| ~ spl2_14
| spl2_21
| ~ spl2_32
| ~ spl2_56 ),
inference(forward_subsumption_resolution,[],[f7872,f724]) ).
thf(f7878,plain,
( ~ spl2_14
| spl2_21
| ~ spl2_32
| ~ spl2_56 ),
inference(avatar_contradiction_clause,[],[f7877]) ).
thf(f7879,plain,
( $false
| spl2_21
| ~ spl2_56
| ~ spl2_127
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f7876,f4898]) ).
thf(f7880,plain,
( spl2_21
| ~ spl2_56
| ~ spl2_127
| ~ spl2_134 ),
inference(avatar_contradiction_clause,[],[f7879]) ).
thf(f7882,definition,
( spl2_183
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_183])],[avatar_definition]) ).
thf(f7883,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_183 ),
inference(avatar_component_clause,[],[f7882]) ).
thf(f7885,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true != $true )
| ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_21
| ~ spl2_57 ),
inference(constrained_superposition,[],[f1393,f2637]) ).
thf(f7891,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_21
| ~ spl2_57 ),
inference(trivial_inequality_removal,[],[f7885]) ).
thf(f7912,definition,
( spl2_184
<=> ! [X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_184])],[avatar_definition]) ).
thf(f7913,plain,
( ! [X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_184 ),
inference(avatar_component_clause,[],[f7912]) ).
thf(f7934,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_134
| ~ spl2_184 ),
inference(constrained_superposition,[],[f7913,f4802]) ).
thf(f7941,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_134
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f7934]) ).
thf(f7942,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_127
| ~ spl2_134
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f7941,f4898]) ).
thf(f7943,plain,
( $false
| ~ spl2_127
| ~ spl2_134
| ~ spl2_174
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f7942,f7003]) ).
thf(f7944,plain,
( ~ spl2_127
| ~ spl2_134
| ~ spl2_174
| ~ spl2_184 ),
inference(avatar_contradiction_clause,[],[f7943]) ).
thf(f7949,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_56
| ~ spl2_171 ),
inference(constrained_superposition,[],[f6918,f1343]) ).
thf(f7950,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_56
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f7949]) ).
thf(f7955,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_56
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f7950,f818]) ).
thf(f7957,plain,
( spl2_109
| ~ spl2_43
| ~ spl2_56
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f7955,f6917,f1342,f808,f4145]) ).
thf(f7961,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| spl2_144
| ~ spl2_170
| ~ spl2_178 ),
inference(constrained_superposition,[],[f7850,f6516]) ).
thf(f7964,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| spl2_144
| ~ spl2_170
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f7961]) ).
thf(f7966,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_32
| spl2_144
| ~ spl2_170
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f7964,f724]) ).
thf(f7967,plain,
( spl2_53
| ~ spl2_32
| spl2_144
| ~ spl2_170
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f7966,f7309,f6515,f5169,f611,f1280]) ).
thf(f7977,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_122
| ~ spl2_161 ),
inference(constrained_superposition,[],[f6056,f4616]) ).
thf(f7981,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_122
| ~ spl2_161 ),
inference(trivial_inequality_removal,[],[f7977]) ).
thf(f7985,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_122
| spl2_144
| ~ spl2_161 ),
inference(forward_subsumption_resolution,[],[f7981,f7204]) ).
thf(f7988,plain,
( spl2_159
| ~ spl2_122
| spl2_144
| ~ spl2_161 ),
inference(avatar_split_clause,[],[f7985,f6055,f5169,f4615,f6046]) ).
thf(f8011,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| spl2_38
| ~ spl2_166 ),
inference(constrained_superposition,[],[f7855,f6209]) ).
thf(f8015,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| spl2_38
| ~ spl2_166 ),
inference(duplicate_literal_removal,[],[f8011]) ).
thf(f8016,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| spl2_38
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f8015]) ).
thf(f8031,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_167
| ~ spl2_170 ),
inference(constrained_superposition,[],[f6412,f6516]) ).
thf(f8034,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_167
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f8031]) ).
thf(f8036,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_32
| ~ spl2_167
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f8034,f724]) ).
thf(f8039,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_166
| ~ spl2_167
| ~ spl2_170 ),
inference(constrained_superposition,[],[f8036,f6209]) ).
thf(f8041,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_32
| ~ spl2_166
| ~ spl2_167
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f8039]) ).
thf(f8045,plain,
( $false
| ~ spl2_32
| ~ spl2_134
| ~ spl2_166
| ~ spl2_167
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f8041,f4802]) ).
thf(f8046,plain,
( ~ spl2_32
| ~ spl2_134
| ~ spl2_166
| ~ spl2_167
| ~ spl2_170 ),
inference(avatar_contradiction_clause,[],[f8045]) ).
thf(f8047,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_56 ),
inference(constrained_superposition,[],[f2657,f1343]) ).
thf(f8049,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f8047]) ).
thf(f8051,plain,
( spl2_183
| ~ spl2_43
| ~ spl2_56 ),
inference(avatar_split_clause,[],[f8049,f1342,f808,f7882]) ).
thf(f8053,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_127
| ~ spl2_183 ),
inference(constrained_superposition,[],[f7883,f4898]) ).
thf(f8057,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_56
| ~ spl2_183 ),
inference(constrained_superposition,[],[f7883,f1343]) ).
thf(f8060,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_56
| ~ spl2_183 ),
inference(duplicate_literal_removal,[],[f8057]) ).
thf(f8061,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_56
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f8060]) ).
thf(f8062,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_127
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f8053]) ).
thf(f8065,plain,
( spl2_184
| ~ spl2_127
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f8062,f7882,f4747,f7912]) ).
thf(f8074,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_14
| ~ spl2_56
| ~ spl2_183 ),
inference(constrained_superposition,[],[f8061,f312]) ).
thf(f8080,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_14
| ~ spl2_56
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f8074]) ).
thf(f8081,plain,
( $false
| ~ spl2_14
| ~ spl2_32
| ~ spl2_56
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f8080,f724]) ).
thf(f8082,plain,
( ~ spl2_14
| ~ spl2_32
| ~ spl2_56
| ~ spl2_183 ),
inference(avatar_contradiction_clause,[],[f8081]) ).
thf(f8087,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f31,f731]) ).
thf(f8089,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f8087]) ).
thf(f8092,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( sK1 = X0 )
| ( $true != $true ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f6505,f79]) ).
thf(f8094,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f6505,f52]) ).
thf(f8095,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f6505,f29]) ).
thf(f8097,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( sK1 = X0 ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f8092]) ).
thf(f8100,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f8094]) ).
thf(f8101,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f8095]) ).
thf(f8103,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_19
| ~ spl2_166 ),
inference(constrained_superposition,[],[f8089,f6209]) ).
thf(f8109,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_19
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f8103]) ).
thf(f8110,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_178 ),
inference(avatar_component_clause,[],[f7309]) ).
thf(f8112,definition,
( spl2_185
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_185])],[avatar_definition]) ).
thf(f8113,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_185 ),
inference(avatar_component_clause,[],[f8112]) ).
thf(f8115,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_19
| ~ spl2_166
| ~ spl2_174 ),
inference(forward_subsumption_resolution,[],[f8109,f7003]) ).
thf(f8120,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_19
| ~ spl2_166
| ~ spl2_174 ),
inference(constrained_superposition,[],[f8115,f7003]) ).
thf(f8122,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_19
| ~ spl2_166
| ~ spl2_174 ),
inference(duplicate_literal_removal,[],[f8120]) ).
thf(f8123,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_19
| ~ spl2_166
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f8122]) ).
thf(f8126,plain,
( spl2_62
| ~ spl2_19
| ~ spl2_166
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f8123,f6997,f6208,f362,f1600]) ).
thf(f8127,plain,
( spl2_174
| spl2_177 ),
inference(avatar_split_clause,[],[f7699,f7306,f6997]) ).
thf(f8141,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_123
| ~ spl2_129 ),
inference(constrained_superposition,[],[f4758,f4620]) ).
thf(f8143,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f31,f4620]) ).
thf(f8144,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_123
| ~ spl2_129 ),
inference(trivial_inequality_removal,[],[f8141]) ).
thf(f8145,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f8143]) ).
thf(f8160,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_145
| ~ spl2_170 ),
inference(constrained_superposition,[],[f5173,f6516]) ).
thf(f8164,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_145
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f8160]) ).
thf(f8167,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_32
| ~ spl2_145
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f8164,f724]) ).
thf(f8171,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_32
| ~ spl2_122
| ~ spl2_145
| ~ spl2_170 ),
inference(constrained_superposition,[],[f8167,f4616]) ).
thf(f8176,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_32
| ~ spl2_122
| ~ spl2_145
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f8171]) ).
thf(f8178,plain,
( $false
| ~ spl2_32
| ~ spl2_122
| ~ spl2_145
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f8176,f6516]) ).
thf(f8179,plain,
( ~ spl2_32
| ~ spl2_122
| ~ spl2_145
| ~ spl2_170 ),
inference(avatar_contradiction_clause,[],[f8178]) ).
thf(f8180,plain,
( ~ spl2_178
| ~ spl2_123
| ~ spl2_129 ),
inference(avatar_split_clause,[],[f8144,f4757,f4619,f7309]) ).
thf(f8182,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f668,f7310]) ).
thf(f8183,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f31,f7310]) ).
thf(f8184,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f8183]) ).
thf(f8186,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f8182]) ).
thf(f8189,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| spl2_144
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f8186,f7192]) ).
thf(f8190,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_138 ),
inference(avatar_component_clause,[],[f5056]) ).
thf(f8206,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_160 ),
inference(constrained_superposition,[],[f6051,f4620]) ).
thf(f8208,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_160 ),
inference(duplicate_literal_removal,[],[f8206]) ).
thf(f8209,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_123
| ~ spl2_160 ),
inference(trivial_inequality_removal,[],[f8208]) ).
thf(f8216,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_160 ),
inference(constrained_superposition,[],[f8209,f4616]) ).
thf(f8217,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_56
| ~ spl2_123
| ~ spl2_160 ),
inference(constrained_superposition,[],[f8209,f1343]) ).
thf(f8218,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_56
| ~ spl2_123
| ~ spl2_160 ),
inference(trivial_inequality_removal,[],[f8217]) ).
thf(f8220,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_160 ),
inference(trivial_inequality_removal,[],[f8216]) ).
thf(f8223,plain,
( $false
| ~ spl2_43
| ~ spl2_56
| ~ spl2_123
| ~ spl2_160 ),
inference(forward_subsumption_resolution,[],[f8218,f818]) ).
thf(f8224,plain,
( ~ spl2_43
| ~ spl2_56
| ~ spl2_123
| ~ spl2_160 ),
inference(avatar_contradiction_clause,[],[f8223]) ).
thf(f8227,plain,
( $false
| ~ spl2_122
| ~ spl2_123
| spl2_144
| ~ spl2_160 ),
inference(forward_subsumption_resolution,[],[f8220,f7204]) ).
thf(f8228,plain,
( ~ spl2_122
| ~ spl2_123
| spl2_144
| ~ spl2_160 ),
inference(avatar_contradiction_clause,[],[f8227]) ).
thf(f8231,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_21
| ~ spl2_57 ),
inference(constrained_superposition,[],[f7891,f78]) ).
thf(f8234,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_21
| ~ spl2_57 ),
inference(trivial_inequality_removal,[],[f8231]) ).
thf(f8237,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_21
| ~ spl2_57 ),
inference(forward_subsumption_resolution,[],[f8234,f41]) ).
thf(f8238,plain,
( spl2_22
| ~ spl2_21
| ~ spl2_57 ),
inference(avatar_split_clause,[],[f8237,f1392,f389,f392]) ).
thf(f8252,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_123
| ~ spl2_134 ),
inference(constrained_superposition,[],[f7615,f4620]) ).
thf(f8254,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_123
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f8252]) ).
thf(f8257,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_118
| ~ spl2_166 ),
inference(constrained_superposition,[],[f4588,f6209]) ).
thf(f8258,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_19
| ~ spl2_118 ),
inference(constrained_superposition,[],[f4588,f731]) ).
thf(f8260,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_118
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f8257]) ).
thf(f8261,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_19
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f8258]) ).
thf(f8265,definition,
( spl2_187
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_187])],[avatar_definition]) ).
thf(f8266,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_187 ),
inference(avatar_component_clause,[],[f8265]) ).
thf(f8267,plain,
( ~ spl2_126
| spl2_187
| ~ spl2_118
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f8260,f6208,f4587,f8265,f4629]) ).
thf(f8268,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_19
| ~ spl2_32
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f8261,f724]) ).
thf(f8273,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_32
| ~ spl2_118 ),
inference(constrained_superposition,[],[f8268,f731]) ).
thf(f8275,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_32
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f8273]) ).
thf(f8278,plain,
( spl2_5
| ~ spl2_19
| ~ spl2_32
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f8275,f4587,f611,f362,f112]) ).
thf(f8279,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_56
| ~ spl2_134 ),
inference(constrained_superposition,[],[f7610,f4802]) ).
thf(f8280,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_56
| ~ spl2_123 ),
inference(constrained_superposition,[],[f7610,f4620]) ).
thf(f8282,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_56
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f8279]) ).
thf(f8284,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_56
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f8280]) ).
thf(f8285,plain,
( spl2_103
| ~ spl2_56
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f8282,f4801,f1342,f3922]) ).
thf(f8299,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_56
| ~ spl2_123 ),
inference(constrained_superposition,[],[f8284,f4620]) ).
thf(f8300,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_56
| ~ spl2_123 ),
inference(duplicate_literal_removal,[],[f8299]) ).
thf(f8301,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_56
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f8300]) ).
thf(f8309,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_56
| ~ spl2_122
| ~ spl2_123 ),
inference(constrained_superposition,[],[f8301,f4616]) ).
thf(f8310,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_56
| ~ spl2_123 ),
inference(constrained_superposition,[],[f8301,f1343]) ).
thf(f8311,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_56
| ~ spl2_122
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f8309]) ).
thf(f8315,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_56
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f8310]) ).
thf(f8316,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_134
| ~ spl2_166 ),
inference(constrained_superposition,[],[f7854,f4802]) ).
thf(f8317,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_123
| ~ spl2_166 ),
inference(constrained_superposition,[],[f7854,f4620]) ).
thf(f8319,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_134
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f8316]) ).
thf(f8320,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_123
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f8317]) ).
thf(f8324,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_134
| ~ spl2_166 ),
inference(constrained_superposition,[],[f8319,f6209]) ).
thf(f8325,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| ~ spl2_134
| ~ spl2_166 ),
inference(constrained_superposition,[],[f8319,f4616]) ).
thf(f8327,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_122
| ~ spl2_134
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f8325]) ).
thf(f8328,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_134
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f8324]) ).
thf(f8332,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_170 ),
inference(avatar_component_clause,[],[f6515]) ).
thf(f8333,plain,
( ~ spl2_170
| spl2_156
| ~ spl2_122
| ~ spl2_134
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f8327,f6208,f4801,f4615,f5603,f6515]) ).
thf(f8334,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_60 ),
inference(avatar_component_clause,[],[f1497]) ).
thf(f8336,definition,
( spl2_188
<=> ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_188])],[avatar_definition]) ).
thf(f8337,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_188 ),
inference(avatar_component_clause,[],[f8336]) ).
thf(f8338,plain,
( ~ spl2_60
| spl2_188
| ~ spl2_134
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f8328,f6208,f4801,f8336,f1497]) ).
thf(f8339,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_14 ),
inference(avatar_component_clause,[],[f311]) ).
thf(f8350,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_166 ),
inference(constrained_superposition,[],[f8320,f4620]) ).
thf(f8351,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_123
| ~ spl2_166 ),
inference(duplicate_literal_removal,[],[f8350]) ).
thf(f8352,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_123
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f8351]) ).
thf(f8359,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_123
| ~ spl2_166 ),
inference(constrained_superposition,[],[f8352,f6209]) ).
thf(f8362,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_123
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f8359]) ).
thf(f8383,definition,
( spl2_190
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_190])],[avatar_definition]) ).
thf(f8384,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_190 ),
inference(avatar_component_clause,[],[f8383]) ).
thf(f8534,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
= sK1 ) )
| ~ spl2_181 ),
inference(constrained_superposition,[],[f7457,f29]) ).
thf(f8535,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
= sK1 )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f8534]) ).
thf(f8537,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f8535,f41]) ).
thf(f8544,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_103
| ~ spl2_181 ),
inference(constrained_superposition,[],[f3923,f8537]) ).
thf(f8577,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_103
| ~ spl2_181 ),
inference(trivial_inequality_removal,[],[f8544]) ).
thf(f8689,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_55
| ~ spl2_57 ),
inference(constrained_superposition,[],[f7844,f29]) ).
thf(f8692,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_55
| ~ spl2_57 ),
inference(constrained_superposition,[],[f7844,f79]) ).
thf(f8694,plain,
( ! [X0: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_55
| ~ spl2_57 ),
inference(trivial_inequality_removal,[],[f8689]) ).
thf(f8695,plain,
( ! [X0: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_55
| ~ spl2_57 ),
inference(trivial_inequality_removal,[],[f8692]) ).
thf(f8699,plain,
( spl2_172
| ~ spl2_55
| ~ spl2_57 ),
inference(avatar_split_clause,[],[f8694,f1392,f1339,f6939]) ).
thf(f8700,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_55
| ~ spl2_57 ),
inference(forward_subsumption_resolution,[],[f8695,f41]) ).
thf(f8729,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( sK1 = X1 )
| ( ( b @ X0 @ X1 )
= $true )
| ( X0 = X1 ) )
| ~ spl2_57 ),
inference(constrained_superposition,[],[f1522,f29]) ).
thf(f8737,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( ( b @ X0 @ X1 )
= $true )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( X0 = X1 ) )
| ~ spl2_57 ),
inference(trivial_inequality_removal,[],[f8729]) ).
thf(f8752,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_22
| ~ spl2_56
| ~ spl2_183 ),
inference(constrained_superposition,[],[f8061,f393]) ).
thf(f8762,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_22 ),
inference(constrained_superposition,[],[f31,f393]) ).
thf(f8770,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_22
| ~ spl2_56
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f8752]) ).
thf(f8772,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) ) )
| ~ spl2_22 ),
inference(trivial_inequality_removal,[],[f8762]) ).
thf(f8789,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_22
| ~ spl2_123 ),
inference(constrained_superposition,[],[f8772,f4620]) ).
thf(f8794,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_22
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f8789]) ).
thf(f8850,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_45 ),
inference(constrained_superposition,[],[f31,f7763]) ).
thf(f8864,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ X0 ) ) )
!= $true ) )
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f8850]) ).
thf(f8874,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_22
| ~ spl2_45 ),
inference(constrained_superposition,[],[f8864,f393]) ).
thf(f8885,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_22
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f8874]) ).
thf(f8893,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ X2 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_22
| ~ spl2_45
| ~ spl2_56
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f8885,f8770]) ).
thf(f8903,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_22
| ~ spl2_45
| ~ spl2_56
| ~ spl2_122
| ~ spl2_183 ),
inference(constrained_superposition,[],[f8893,f4616]) ).
thf(f8916,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_45
| ~ spl2_56
| ~ spl2_122
| ~ spl2_183 ),
inference(trivial_inequality_removal,[],[f8903]) ).
thf(f9029,definition,
( spl2_195
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_195])],[avatar_definition]) ).
thf(f9030,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_195 ),
inference(avatar_component_clause,[],[f9029]) ).
thf(f9041,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_142
| spl2_158 ),
inference(constrained_superposition,[],[f5999,f5073]) ).
thf(f9044,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_38
| ~ spl2_142
| ~ spl2_166 ),
inference(constrained_superposition,[],[f8016,f5073]) ).
thf(f9063,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_142
| spl2_158 ),
inference(trivial_inequality_removal,[],[f9041]) ).
thf(f9076,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_38
| ~ spl2_142
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f9044]) ).
thf(f9079,plain,
( spl2_150
| ~ spl2_142
| spl2_158 ),
inference(avatar_split_clause,[],[f9063,f5998,f5072,f5350]) ).
thf(f9083,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_38
| ~ spl2_142
| spl2_144
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f9076,f7204]) ).
thf(f9086,plain,
( spl2_150
| spl2_38
| ~ spl2_142
| spl2_144
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f9083,f6208,f5169,f5072,f703,f5350]) ).
thf(f9186,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) )
| ( sK1 = X0 ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f8101,f52]) ).
thf(f9187,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f8101,f29]) ).
thf(f9189,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1 = X0 )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ X0 ) ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f9186]) ).
thf(f9190,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f9187]) ).
thf(f9192,plain,
( spl2_107
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f9190,f6504,f4087]) ).
thf(f9209,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f8100,f77]) ).
thf(f9214,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ sK1 ) ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f9209]) ).
thf(f9234,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_1
| ~ spl2_55 ),
inference(constrained_superposition,[],[f6251,f6052]) ).
thf(f9239,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( $true
= ( b @ ( sK0 @ X1 ) @ X0 ) )
| ( $true != $true )
| ( sK1 = X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f6251,f29]) ).
thf(f9240,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X1 ) @ X0 ) )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( ( sK0 @ X1 )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f9239]) ).
thf(f9242,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ X0 ) @ sK1 )
= $true )
| ( ( sK0 @ X0 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f9234]) ).
thf(f9351,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_107
| spl2_170 ),
inference(constrained_superposition,[],[f8332,f4088]) ).
thf(f9380,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_107
| spl2_170 ),
inference(trivial_inequality_removal,[],[f9351]) ).
thf(f9418,plain,
( ~ spl2_40
| ~ spl2_56
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f8315,f4619,f1342,f780]) ).
thf(f9420,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_103
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f8577,f41]) ).
thf(f9434,definition,
( spl2_198
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_198])],[avatar_definition]) ).
thf(f9435,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_198 ),
inference(avatar_component_clause,[],[f9434]) ).
thf(f9461,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_103
| spl2_127
| ~ spl2_181 ),
inference(forward_subsumption_resolution,[],[f9420,f4748]) ).
thf(f9490,plain,
( ~ spl2_40
| spl2_109
| ~ spl2_103
| spl2_127
| ~ spl2_181 ),
inference(avatar_split_clause,[],[f9461,f7421,f4747,f3922,f4145,f780]) ).
thf(f9497,plain,
( spl2_150
| spl2_138
| spl2_143
| ~ spl2_107
| spl2_170 ),
inference(avatar_split_clause,[],[f9380,f6515,f4087,f5077,f5056,f5350]) ).
thf(f9498,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_22
| ~ spl2_45
| ~ spl2_56
| ~ spl2_122
| spl2_174
| ~ spl2_183 ),
inference(forward_subsumption_resolution,[],[f8916,f6998]) ).
thf(f9500,plain,
( ~ spl2_138
| ~ spl2_56
| ~ spl2_122
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f8311,f4619,f4615,f1342,f5056]) ).
thf(f9502,plain,
( spl2_156
| ~ spl2_138
| ~ spl2_22
| ~ spl2_45
| ~ spl2_56
| ~ spl2_122
| spl2_174
| ~ spl2_183 ),
inference(avatar_split_clause,[],[f9498,f7882,f6997,f4615,f1342,f820,f392,f5056,f5603]) ).
thf(f9504,plain,
( ~ spl2_60
| ~ spl2_123
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f8362,f6208,f4619,f1497]) ).
thf(f9510,definition,
( spl2_200
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_200])],[avatar_definition]) ).
thf(f9511,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_200 ),
inference(avatar_component_clause,[],[f9510]) ).
thf(f9515,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_5
| ~ spl2_19 ),
inference(constrained_superposition,[],[f113,f731]) ).
thf(f9516,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_178 ),
inference(constrained_superposition,[],[f113,f7310]) ).
thf(f9517,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_107 ),
inference(constrained_superposition,[],[f113,f4088]) ).
thf(f9518,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_5
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f9516]) ).
thf(f9519,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_5
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f9515]) ).
thf(f9520,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_5
| ~ spl2_107 ),
inference(trivial_inequality_removal,[],[f9517]) ).
thf(f9523,plain,
( $false
| ~ spl2_5
| spl2_144
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f9518,f7204]) ).
thf(f9524,plain,
( ~ spl2_5
| spl2_144
| ~ spl2_178 ),
inference(avatar_contradiction_clause,[],[f9523]) ).
thf(f9525,plain,
( $false
| ~ spl2_5
| ~ spl2_19
| ~ spl2_32 ),
inference(forward_subsumption_resolution,[],[f9519,f724]) ).
thf(f9526,plain,
( ~ spl2_5
| ~ spl2_19
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f9525]) ).
thf(f9527,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_5
| ~ spl2_32
| ~ spl2_107 ),
inference(forward_subsumption_resolution,[],[f9520,f724]) ).
thf(f9528,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_32
| spl2_37
| ~ spl2_107 ),
inference(forward_subsumption_resolution,[],[f9527,f701]) ).
thf(f9529,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_5
| ~ spl2_32
| spl2_37
| ~ spl2_107 ),
inference(forward_subsumption_resolution,[],[f9528,f41]) ).
thf(f9530,plain,
( $false
| ~ spl2_5
| ~ spl2_32
| spl2_37
| ~ spl2_107 ),
inference(forward_subsumption_resolution,[],[f9529,f41]) ).
thf(f9531,plain,
( ~ spl2_5
| ~ spl2_32
| spl2_37
| ~ spl2_107 ),
inference(avatar_contradiction_clause,[],[f9530]) ).
thf(f9532,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_22
| ~ spl2_123
| spl2_174 ),
inference(forward_subsumption_resolution,[],[f8794,f6998]) ).
thf(f9534,definition,
( spl2_201
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_201])],[avatar_definition]) ).
thf(f9535,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_201 ),
inference(avatar_component_clause,[],[f9534]) ).
thf(f9536,plain,
( ~ spl2_153
| spl2_201
| ~ spl2_123
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f8254,f4801,f4619,f9534,f5509]) ).
thf(f9537,plain,
( ~ spl2_153
| spl2_201
| ~ spl2_22
| ~ spl2_123
| spl2_174 ),
inference(avatar_split_clause,[],[f9532,f6997,f4619,f392,f9534,f5509]) ).
thf(f9540,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_138
| spl2_144
| ~ spl2_178 ),
inference(constrained_superposition,[],[f8189,f5057]) ).
thf(f9549,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_138
| spl2_144
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f9540]) ).
thf(f9555,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_43
| ~ spl2_138
| spl2_144
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f9549,f818]) ).
thf(f9557,plain,
( spl2_41
| ~ spl2_43
| ~ spl2_138
| spl2_144
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f9555,f7309,f5169,f5056,f808,f783]) ).
thf(f9559,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_41
| ~ spl2_138 ),
inference(constrained_superposition,[],[f784,f5057]) ).
thf(f9574,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_41
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f9559]) ).
thf(f9576,plain,
( $false
| ~ spl2_41
| ~ spl2_138
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f9574,f7310]) ).
thf(f9577,plain,
( ~ spl2_41
| ~ spl2_138
| ~ spl2_178 ),
inference(avatar_contradiction_clause,[],[f9576]) ).
thf(f9578,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_154 ),
inference(avatar_component_clause,[],[f5540]) ).
thf(f9584,definition,
( spl2_203
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_203])],[avatar_definition]) ).
thf(f9585,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_203 ),
inference(avatar_component_clause,[],[f9584]) ).
thf(f9587,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_45
| ~ spl2_144 ),
inference(constrained_superposition,[],[f821,f5170]) ).
thf(f9592,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_57
| ~ spl2_144 ),
inference(constrained_superposition,[],[f1393,f5170]) ).
thf(f9599,plain,
( ! [X0: $i] :
( ( $true
!= ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_57
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f9592]) ).
thf(f9603,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_45
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f9587]) ).
thf(f9611,plain,
( spl2_138
| ~ spl2_45
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f9603,f5169,f820,f5056]) ).
thf(f9630,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_37 ),
inference(constrained_superposition,[],[f31,f864]) ).
thf(f9631,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f9630]) ).
thf(f9645,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_153
| ~ spl2_178 ),
inference(constrained_superposition,[],[f8184,f5510]) ).
thf(f9650,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_153
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f9645]) ).
thf(f9655,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_37
| ~ spl2_153
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f9650,f864]) ).
thf(f9656,plain,
( spl2_85
| ~ spl2_37
| ~ spl2_153
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f9655,f7309,f5509,f700,f2591]) ).
thf(f9657,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_22
| spl2_153 ),
inference(constrained_superposition,[],[f5538,f393]) ).
thf(f9661,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_22
| spl2_153 ),
inference(trivial_inequality_removal,[],[f9657]) ).
thf(f9668,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_19
| ~ spl2_170 ),
inference(constrained_superposition,[],[f8089,f6516]) ).
thf(f9670,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f668,f6516]) ).
thf(f9671,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_170 ),
inference(constrained_superposition,[],[f31,f6516]) ).
thf(f9674,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9670]) ).
thf(f9676,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9671]) ).
thf(f9677,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_19
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9668]) ).
thf(f9678,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_38
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f9674,f3309]) ).
thf(f9679,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_19
| ~ spl2_170
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f9677,f7310]) ).
thf(f9680,plain,
( spl2_185
| ~ spl2_19
| ~ spl2_170
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f9679,f7309,f6515,f362,f8112]) ).
thf(f9683,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_19
| ~ spl2_188 ),
inference(constrained_superposition,[],[f8337,f731]) ).
thf(f9695,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_19
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f9683]) ).
thf(f9698,plain,
( $false
| ~ spl2_19
| ~ spl2_43
| ~ spl2_188 ),
inference(forward_subsumption_resolution,[],[f9695,f818]) ).
thf(f9699,plain,
( ~ spl2_19
| ~ spl2_43
| ~ spl2_188 ),
inference(avatar_contradiction_clause,[],[f9698]) ).
thf(f9701,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_103
| ~ spl2_122 ),
inference(constrained_superposition,[],[f3923,f4616]) ).
thf(f9704,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_122
| ~ spl2_123 ),
inference(constrained_superposition,[],[f8145,f4616]) ).
thf(f9706,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_22
| ~ spl2_122 ),
inference(constrained_superposition,[],[f8772,f4616]) ).
thf(f9707,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f668,f4616]) ).
thf(f9708,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_122 ),
inference(constrained_superposition,[],[f31,f4616]) ).
thf(f9709,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_103
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f9701]) ).
thf(f9710,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f9707]) ).
thf(f9712,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f9708]) ).
thf(f9714,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_122
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f9704]) ).
thf(f9716,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) ) )
| ~ spl2_22
| ~ spl2_122 ),
inference(trivial_inequality_removal,[],[f9706]) ).
thf(f9720,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 )
| ( $true != $true ) )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f5205,f52]) ).
thf(f9724,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ X0 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= X0 ) )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f9720]) ).
thf(f9746,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_122
| ~ spl2_185 ),
inference(constrained_superposition,[],[f8113,f4616]) ).
thf(f9747,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_178
| ~ spl2_185 ),
inference(constrained_superposition,[],[f8113,f7310]) ).
thf(f9752,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_178
| ~ spl2_185 ),
inference(duplicate_literal_removal,[],[f9747]) ).
thf(f9753,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_178
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f9752]) ).
thf(f9754,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_122
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f9746]) ).
thf(f9761,plain,
( spl2_62
| ~ spl2_178
| ~ spl2_185 ),
inference(avatar_split_clause,[],[f9753,f8112,f7309,f1600]) ).
thf(f9764,definition,
( spl2_206
<=> ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ sK1 @ X1 )
= $true )
| ( sK1 = X1 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_206])],[avatar_definition]) ).
thf(f9765,plain,
( ! [X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( sK1 = X1 )
| ( ( b @ sK1 @ X1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X1 ) )
| ~ spl2_206 ),
inference(avatar_component_clause,[],[f9764]) ).
thf(f9768,definition,
( spl2_207
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_207])],[avatar_definition]) ).
thf(f9769,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_207 ),
inference(avatar_component_clause,[],[f9768]) ).
thf(f9773,plain,
( spl2_178
| ~ spl2_22
| spl2_153 ),
inference(avatar_split_clause,[],[f9661,f5509,f392,f7309]) ).
thf(f9781,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_22
| ~ spl2_122
| ~ spl2_134 ),
inference(forward_subsumption_resolution,[],[f9716,f4802]) ).
thf(f9786,definition,
( spl2_209
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_209])],[avatar_definition]) ).
thf(f9787,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_209 ),
inference(avatar_component_clause,[],[f9786]) ).
thf(f9791,definition,
( spl2_210
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_210])],[avatar_definition]) ).
thf(f9792,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_210 ),
inference(avatar_component_clause,[],[f9791]) ).
thf(f9793,plain,
( spl2_210
| spl2_178
| ~ spl2_22
| ~ spl2_122
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f9781,f4801,f4615,f392,f7309,f9791]) ).
thf(f9795,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_57
| spl2_178 ),
inference(constrained_superposition,[],[f8110,f8737]) ).
thf(f9798,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( sK1 = X0 )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 )
| ( ( b @ sK1 @ X0 )
= $true ) )
| ~ spl2_57
| spl2_178 ),
inference(trivial_inequality_removal,[],[f9795]) ).
thf(f9800,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( sK1 = X0 )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= X0 ) )
| ~ spl2_57
| spl2_178 ),
inference(forward_subsumption_resolution,[],[f9798,f41]) ).
thf(f9801,plain,
( spl2_206
| ~ spl2_57
| spl2_178 ),
inference(avatar_split_clause,[],[f9800,f7309,f1392,f9764]) ).
thf(f9812,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_123
| ~ spl2_153 ),
inference(constrained_superposition,[],[f8145,f5510]) ).
thf(f9818,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f9812]) ).
thf(f9822,plain,
( spl2_207
| ~ spl2_123
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f9818,f5509,f4619,f9768]) ).
thf(f9823,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_122
| ~ spl2_134
| ~ spl2_185 ),
inference(constrained_superposition,[],[f9754,f4802]) ).
thf(f9830,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_122
| ~ spl2_134
| ~ spl2_185 ),
inference(trivial_inequality_removal,[],[f9823]) ).
thf(f9837,plain,
( $false
| ~ spl2_43
| ~ spl2_122
| ~ spl2_134
| ~ spl2_185 ),
inference(forward_subsumption_resolution,[],[f9830,f818]) ).
thf(f9838,plain,
( ~ spl2_43
| ~ spl2_122
| ~ spl2_134
| ~ spl2_185 ),
inference(avatar_contradiction_clause,[],[f9837]) ).
thf(f9849,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_134
| ~ spl2_210 ),
inference(constrained_superposition,[],[f9792,f4802]) ).
thf(f9850,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_22
| ~ spl2_210 ),
inference(constrained_superposition,[],[f9792,f393]) ).
thf(f9860,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_134
| ~ spl2_210 ),
inference(duplicate_literal_removal,[],[f9849]) ).
thf(f9861,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_134
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f9860]) ).
thf(f9865,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_22
| ~ spl2_210 ),
inference(duplicate_literal_removal,[],[f9850]) ).
thf(f9866,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_22
| ~ spl2_210 ),
inference(trivial_inequality_removal,[],[f9865]) ).
thf(f9869,plain,
( spl2_50
| ~ spl2_134
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f9861,f9791,f4801,f955]) ).
thf(f9870,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_22
| spl2_174
| ~ spl2_210 ),
inference(forward_subsumption_resolution,[],[f9866,f6998]) ).
thf(f9873,plain,
( spl2_50
| ~ spl2_22
| spl2_174
| ~ spl2_210 ),
inference(avatar_split_clause,[],[f9870,f9791,f6997,f392,f955]) ).
thf(f9879,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_153
| ~ spl2_201 ),
inference(constrained_superposition,[],[f9535,f5510]) ).
thf(f9892,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_153
| ~ spl2_201 ),
inference(duplicate_literal_removal,[],[f9879]) ).
thf(f9893,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_153
| ~ spl2_201 ),
inference(trivial_inequality_removal,[],[f9892]) ).
thf(f9896,plain,
( spl2_50
| ~ spl2_153
| ~ spl2_201 ),
inference(avatar_split_clause,[],[f9893,f9534,f5509,f955]) ).
thf(f9929,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_167
| ~ spl2_170 ),
inference(constrained_superposition,[],[f6412,f6516]) ).
thf(f9931,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_167
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9929]) ).
thf(f9936,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_32
| ~ spl2_167
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f9931,f724]) ).
thf(f9938,plain,
( spl2_188
| ~ spl2_32
| ~ spl2_167
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f9936,f6515,f6411,f611,f8336]) ).
thf(f9944,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| spl2_38
| ~ spl2_170 ),
inference(constrained_superposition,[],[f9678,f6516]) ).
thf(f9947,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_38
| ~ spl2_170 ),
inference(duplicate_literal_removal,[],[f9944]) ).
thf(f9948,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| spl2_38
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9947]) ).
thf(f9955,definition,
( spl2_211
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_211])],[avatar_definition]) ).
thf(f9956,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_211 ),
inference(avatar_component_clause,[],[f9955]) ).
thf(f9958,plain,
( spl2_211
| spl2_38
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f9948,f6515,f703,f9955]) ).
thf(f9978,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_170 ),
inference(constrained_superposition,[],[f9714,f6516]) ).
thf(f9982,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9978]) ).
thf(f9991,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_122
| ~ spl2_170 ),
inference(constrained_superposition,[],[f9676,f4616]) ).
thf(f9994,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_122
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f9991]) ).
thf(f9999,definition,
( spl2_212
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_212])],[avatar_definition]) ).
thf(f10000,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_212 ),
inference(avatar_component_clause,[],[f9999]) ).
thf(f10003,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_122
| ~ spl2_170 ),
inference(constrained_superposition,[],[f9994,f51]) ).
thf(f10004,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_170 ),
inference(constrained_superposition,[],[f9994,f4620]) ).
thf(f10005,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_122
| ~ spl2_170 ),
inference(constrained_superposition,[],[f9994,f6516]) ).
thf(f10008,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_122
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f10005]) ).
thf(f10009,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f10004]) ).
thf(f10010,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_122
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f10003]) ).
thf(f10012,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_166 ),
inference(avatar_component_clause,[],[f6208]) ).
thf(f10014,definition,
( spl2_213
<=> ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_213])],[avatar_definition]) ).
thf(f10015,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_213 ),
inference(avatar_component_clause,[],[f10014]) ).
thf(f10016,plain,
( ~ spl2_166
| spl2_213
| ~ spl2_122
| ~ spl2_123
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f10009,f6515,f4619,f4615,f10014,f6208]) ).
thf(f10027,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_57
| ~ spl2_144 ),
inference(constrained_superposition,[],[f9599,f77]) ).
thf(f10033,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_57
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f10027]) ).
thf(f10226,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( sK1 = X0 ) )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f8097,f77]) ).
thf(f10231,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ X0 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1 = X0 ) )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f10226]) ).
thf(f10245,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| spl2_166
| ~ spl2_168 ),
inference(constrained_superposition,[],[f10012,f10231]) ).
thf(f10261,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_166
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f10245]) ).
thf(f10278,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f6137,f29]) ).
thf(f10279,plain,
( ! [X0: $i] :
( ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( ( sK0 @ X0 )
= sK1 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f10278]) ).
thf(f10281,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ X0 ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= X0 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f10279,f41]) ).
thf(f10357,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) ) ) )
| ~ spl2_1 ),
inference(extensionality_resolution,[],[f6244,f41]) ).
thf(f10359,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_1
| spl2_31 ),
inference(extensionality_resolution,[],[f6244,f4541]) ).
thf(f10365,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
= ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( $true != $true )
| ( ( sK0 @ X0 )
= sK1 ) )
| ~ spl2_1 ),
inference(constrained_superposition,[],[f6244,f29]) ).
thf(f10367,plain,
( ! [X0: $i,X1: $i] :
( ( ( sK0 @ X0 )
= sK1 )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) ) )
| ( X0 = X1 ) )
| ~ spl2_1 ),
inference(trivial_inequality_removal,[],[f10365]) ).
thf(f10369,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ X1 ) @ ( sK0 @ X0 ) ) )
| ( X0 = X1 )
| ( ( b @ ( sK0 @ X1 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f10367,f41]) ).
thf(f10370,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ sK1 )
= $true ) )
| ~ spl2_1 ),
inference(extensionality_resolution,[],[f10369,f41]) ).
thf(f10373,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_1
| spl2_31 ),
inference(extensionality_resolution,[],[f10369,f4541]) ).
thf(f10539,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true != $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) ) )
| ~ spl2_162 ),
inference(constrained_superposition,[],[f6136,f29]) ).
thf(f10540,plain,
( ! [X0: $i] :
( ( sK1
= ( sK0 @ ( sK0 @ X0 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f10539]) ).
thf(f10542,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true ) )
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f10540,f41]) ).
thf(f10584,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_122
| ~ spl2_162
| ~ spl2_170 ),
inference(constrained_superposition,[],[f9994,f10542]) ).
thf(f10591,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_134
| ~ spl2_162 ),
inference(constrained_superposition,[],[f7615,f10542]) ).
thf(f10594,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ X0 ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X2 @ X1 ) ) )
| ~ spl2_134
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f10591]) ).
thf(f10605,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_122
| ~ spl2_162
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f10584]) ).
thf(f10611,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ sK1 )
= X0 )
| ( $true
!= ( b @ X2 @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ X0 ) ) @ X2 ) ) )
| ~ spl2_43
| ~ spl2_134
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f10594,f2657]) ).
thf(f10618,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_13
| spl2_166 ),
inference(constrained_superposition,[],[f10012,f7321]) ).
thf(f10629,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X3 ) ) )
| ~ spl2_13 ),
inference(constrained_superposition,[],[f31,f7321]) ).
thf(f10636,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_13
| spl2_166 ),
inference(trivial_inequality_removal,[],[f10618]) ).
thf(f10641,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X2 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
= $true )
| ( $true
!= ( b @ X2 @ X3 ) )
| ( ( b @ X3 @ X1 )
!= $true )
| ( ( b @ X2 @ ( sK0 @ ( sK0 @ ( sK0 @ X0 ) ) ) )
!= $true ) )
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f10629]) ).
thf(f10654,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_13
| ~ spl2_123 ),
inference(constrained_superposition,[],[f10641,f4620]) ).
thf(f10672,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_13
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f10654]) ).
thf(f10725,definition,
( spl2_215
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_215])],[avatar_definition]) ).
thf(f10726,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_215 ),
inference(avatar_component_clause,[],[f10725]) ).
thf(f10732,definition,
( spl2_216
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_216])],[avatar_definition]) ).
thf(f10733,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_216 ),
inference(avatar_component_clause,[],[f10732]) ).
thf(f10833,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_168 ),
inference(constrained_superposition,[],[f9714,f9189]) ).
thf(f10841,plain,
( ! [X0: $i] :
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f10833]) ).
thf(f10896,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_103
| ~ spl2_206 ),
inference(constrained_superposition,[],[f3923,f9765]) ).
thf(f10914,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_103
| ~ spl2_206 ),
inference(trivial_inequality_removal,[],[f10896]) ).
thf(f10946,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_166
| ~ spl2_168 ),
inference(constrained_superposition,[],[f10012,f9214]) ).
thf(f10958,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_166
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f10946]) ).
thf(f11370,definition,
( spl2_226
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_226])],[avatar_definition]) ).
thf(f11371,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_226 ),
inference(avatar_component_clause,[],[f11370]) ).
thf(f11418,definition,
( spl2_231
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_231])],[avatar_definition]) ).
thf(f11419,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_231 ),
inference(avatar_component_clause,[],[f11418]) ).
thf(f11421,definition,
( spl2_232
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_232])],[avatar_definition]) ).
thf(f11422,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_232 ),
inference(avatar_component_clause,[],[f11421]) ).
thf(f11425,definition,
( spl2_233
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_233])],[avatar_definition]) ).
thf(f11426,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_233 ),
inference(avatar_component_clause,[],[f11425]) ).
thf(f11428,definition,
( spl2_234
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_234])],[avatar_definition]) ).
thf(f11429,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_234 ),
inference(avatar_component_clause,[],[f11428]) ).
thf(f11432,definition,
( spl2_235
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_235])],[avatar_definition]) ).
thf(f11433,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_235 ),
inference(avatar_component_clause,[],[f11432]) ).
thf(f11435,definition,
( spl2_236
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_236])],[avatar_definition]) ).
thf(f11436,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_236 ),
inference(avatar_component_clause,[],[f11435]) ).
thf(f11443,definition,
( spl2_237
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_237])],[avatar_definition]) ).
thf(f11444,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_237 ),
inference(avatar_component_clause,[],[f11443]) ).
thf(f11446,definition,
( spl2_238
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_238])],[avatar_definition]) ).
thf(f11447,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_238 ),
inference(avatar_component_clause,[],[f11446]) ).
thf(f11450,definition,
( spl2_239
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_239])],[avatar_definition]) ).
thf(f11451,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_239 ),
inference(avatar_component_clause,[],[f11450]) ).
thf(f11454,definition,
( spl2_240
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_240])],[avatar_definition]) ).
thf(f11455,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_240 ),
inference(avatar_component_clause,[],[f11454]) ).
thf(f11459,definition,
( spl2_241
<=> ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_241])],[avatar_definition]) ).
thf(f11460,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_241 ),
inference(avatar_component_clause,[],[f11459]) ).
thf(f11463,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_239 ),
inference(constrained_superposition,[],[f11451,f29]) ).
thf(f11464,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_239 ),
inference(trivial_inequality_removal,[],[f11463]) ).
thf(f11465,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_239 ),
inference(forward_subsumption_resolution,[],[f11464,f41]) ).
thf(f11466,plain,
( spl2_241
| spl2_239 ),
inference(avatar_split_clause,[],[f11465,f11450,f11459]) ).
thf(f11476,definition,
( spl2_243
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_243])],[avatar_definition]) ).
thf(f11477,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_243 ),
inference(avatar_component_clause,[],[f11476]) ).
thf(f11514,definition,
( spl2_245
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_245])],[avatar_definition]) ).
thf(f11515,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_245 ),
inference(avatar_component_clause,[],[f11514]) ).
thf(f11517,definition,
( spl2_246
<=> ! [X1: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_246])],[avatar_definition]) ).
thf(f11518,plain,
( ! [X1: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ~ spl2_246 ),
inference(avatar_component_clause,[],[f11517]) ).
thf(f11522,definition,
( spl2_247
<=> ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_247])],[avatar_definition]) ).
thf(f11523,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_247 ),
inference(avatar_component_clause,[],[f11522]) ).
thf(f11547,definition,
( spl2_249
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_249])],[avatar_definition]) ).
thf(f11548,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_249 ),
inference(avatar_component_clause,[],[f11547]) ).
thf(f11550,definition,
( spl2_250
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_250])],[avatar_definition]) ).
thf(f11551,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_250 ),
inference(avatar_component_clause,[],[f11550]) ).
thf(f11560,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_172
| spl2_250 ),
inference(constrained_superposition,[],[f11551,f6940]) ).
thf(f11568,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_172
| spl2_250 ),
inference(trivial_inequality_removal,[],[f11560]) ).
thf(f11572,definition,
( spl2_251
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_251])],[avatar_definition]) ).
thf(f11573,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_251 ),
inference(avatar_component_clause,[],[f11572]) ).
thf(f11581,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_172
| spl2_250 ),
inference(forward_subsumption_resolution,[],[f11568,f41]) ).
thf(f11584,plain,
( spl2_240
| spl2_251
| ~ spl2_172
| spl2_250 ),
inference(avatar_split_clause,[],[f11581,f11550,f6939,f11572,f11454]) ).
thf(f11587,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_122
| ~ spl2_170
| ~ spl2_238 ),
inference(constrained_superposition,[],[f9994,f11447]) ).
thf(f11588,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_238 ),
inference(constrained_superposition,[],[f9714,f11447]) ).
thf(f11599,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_122
| ~ spl2_170
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f11587]) ).
thf(f11600,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f11588]) ).
thf(f11604,definition,
( spl2_253
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_253])],[avatar_definition]) ).
thf(f11605,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_253 ),
inference(avatar_component_clause,[],[f11604]) ).
thf(f11611,definition,
( spl2_255
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_255])],[avatar_definition]) ).
thf(f11612,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| spl2_255 ),
inference(avatar_component_clause,[],[f11611]) ).
thf(f11614,definition,
( spl2_256
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_256])],[avatar_definition]) ).
thf(f11615,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_256 ),
inference(avatar_component_clause,[],[f11614]) ).
thf(f11616,plain,
( ~ spl2_255
| spl2_256
| ~ spl2_122
| ~ spl2_170
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f11599,f11446,f6515,f4615,f11614,f11611]) ).
thf(f11617,plain,
( spl2_256
| ~ spl2_253
| ~ spl2_122
| ~ spl2_123
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f11600,f11446,f4619,f4615,f11604,f11614]) ).
thf(f11626,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_168
| spl2_255 ),
inference(constrained_superposition,[],[f11612,f10231]) ).
thf(f11639,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_168
| spl2_255 ),
inference(trivial_inequality_removal,[],[f11626]) ).
thf(f11647,definition,
( spl2_258
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_258])],[avatar_definition]) ).
thf(f11648,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_258 ),
inference(avatar_component_clause,[],[f11647]) ).
thf(f11652,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_168
| spl2_255 ),
inference(forward_subsumption_resolution,[],[f11639,f41]) ).
thf(f11660,plain,
( spl2_247
| ~ spl2_168
| spl2_255 ),
inference(avatar_split_clause,[],[f11652,f11611,f6504,f11522]) ).
thf(f11799,definition,
( spl2_266
<=> ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_266])],[avatar_definition]) ).
thf(f11800,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_266 ),
inference(avatar_component_clause,[],[f11799]) ).
thf(f11813,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_238
| ~ spl2_256 ),
inference(constrained_superposition,[],[f11615,f11447]) ).
thf(f11840,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_238
| ~ spl2_256 ),
inference(trivial_inequality_removal,[],[f11813]) ).
thf(f11852,plain,
( $false
| ~ spl2_122
| ~ spl2_238
| ~ spl2_256 ),
inference(forward_subsumption_resolution,[],[f11840,f4616]) ).
thf(f11853,plain,
( ~ spl2_122
| ~ spl2_238
| ~ spl2_256 ),
inference(avatar_contradiction_clause,[],[f11852]) ).
thf(f11854,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_226 ),
inference(avatar_component_clause,[],[f11370]) ).
thf(f11863,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_122
| ~ spl2_226 ),
inference(constrained_superposition,[],[f4616,f11854]) ).
thf(f11864,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_123
| ~ spl2_226 ),
inference(constrained_superposition,[],[f4620,f11854]) ).
thf(f11867,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_153
| ~ spl2_226 ),
inference(constrained_superposition,[],[f5538,f11854]) ).
thf(f11870,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_170
| ~ spl2_226 ),
inference(constrained_superposition,[],[f6516,f11854]) ).
thf(f11874,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_138
| ~ spl2_226 ),
inference(constrained_superposition,[],[f8190,f11854]) ).
thf(f11970,plain,
( $false
| ~ spl2_123
| spl2_190
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f11864,f8384]) ).
thf(f11971,plain,
( ~ spl2_123
| spl2_190
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f11970]) ).
thf(f11979,plain,
( $false
| spl2_166
| ~ spl2_170
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f11870,f10012]) ).
thf(f11980,plain,
( spl2_166
| ~ spl2_170
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f11979]) ).
thf(f11983,plain,
( $false
| ~ spl2_56
| spl2_138
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f11874,f1343]) ).
thf(f11984,plain,
( ~ spl2_56
| spl2_138
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f11983]) ).
thf(f11988,plain,
( $false
| ~ spl2_134
| spl2_153
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f11867,f4802]) ).
thf(f11989,plain,
( ~ spl2_134
| spl2_153
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f11988]) ).
thf(f11992,plain,
( $false
| ~ spl2_122
| spl2_190
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f11863,f8384]) ).
thf(f11993,plain,
( ~ spl2_122
| spl2_190
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f11992]) ).
thf(f12013,definition,
( spl2_273
<=> ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_273])],[avatar_definition]) ).
thf(f12014,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_273 ),
inference(avatar_component_clause,[],[f12013]) ).
thf(f12026,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_1
| spl2_226 ),
inference(extensionality_resolution,[],[f10369,f11371]) ).
thf(f12027,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_1
| spl2_226 ),
inference(extensionality_resolution,[],[f10369,f11371]) ).
thf(f12029,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_1
| spl2_226 ),
inference(extensionality_resolution,[],[f6244,f11371]) ).
thf(f12065,definition,
( spl2_274
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_274])],[avatar_definition]) ).
thf(f12066,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_274 ),
inference(avatar_component_clause,[],[f12065]) ).
thf(f12069,definition,
( spl2_275
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_275])],[avatar_definition]) ).
thf(f12070,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_275 ),
inference(avatar_component_clause,[],[f12069]) ).
thf(f12080,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_258 ),
inference(constrained_superposition,[],[f302,f11648]) ).
thf(f12158,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_258 ),
inference(duplicate_literal_removal,[],[f12080]) ).
thf(f12163,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| spl2_60
| ~ spl2_258 ),
inference(forward_subsumption_resolution,[],[f12158,f8334]) ).
thf(f12186,plain,
( spl2_33
| spl2_33
| spl2_60
| ~ spl2_258 ),
inference(avatar_split_clause,[],[f12163,f11647,f1497,f686,f686]) ).
thf(f12250,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_241
| ~ spl2_251 ),
inference(constrained_superposition,[],[f11460,f11573]) ).
thf(f12270,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| ~ spl2_57
| ~ spl2_251 ),
inference(constrained_superposition,[],[f8700,f11573]) ).
thf(f12274,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_162
| ~ spl2_251 ),
inference(constrained_superposition,[],[f10542,f11573]) ).
thf(f12276,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_43
| ~ spl2_134
| ~ spl2_162
| ~ spl2_251 ),
inference(constrained_superposition,[],[f10611,f11573]) ).
thf(f12303,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_130
| ~ spl2_251 ),
inference(constrained_superposition,[],[f7773,f11573]) ).
thf(f12318,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_162
| ~ spl2_251 ),
inference(constrained_superposition,[],[f10281,f11573]) ).
thf(f12331,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_134
| ~ spl2_162
| ~ spl2_251 ),
inference(forward_subsumption_resolution,[],[f12276,f4802]) ).
thf(f12335,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| ~ spl2_57
| spl2_174
| ~ spl2_251 ),
inference(forward_subsumption_resolution,[],[f12270,f6998]) ).
thf(f12339,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_127
| ~ spl2_162
| ~ spl2_251 ),
inference(forward_subsumption_resolution,[],[f12318,f4748]) ).
thf(f12342,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_162
| spl2_190
| ~ spl2_251 ),
inference(forward_subsumption_resolution,[],[f12274,f8384]) ).
thf(f12345,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_130
| spl2_190
| ~ spl2_251 ),
inference(forward_subsumption_resolution,[],[f12303,f8384]) ).
thf(f12349,plain,
( $false
| spl2_127
| ~ spl2_241
| ~ spl2_251 ),
inference(forward_subsumption_resolution,[],[f12250,f4748]) ).
thf(f12350,plain,
( spl2_127
| ~ spl2_241
| ~ spl2_251 ),
inference(avatar_contradiction_clause,[],[f12349]) ).
thf(f12351,plain,
( spl2_102
| spl2_210
| ~ spl2_43
| ~ spl2_134
| ~ spl2_162
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f12331,f11572,f6075,f4801,f808,f9791,f3919]) ).
thf(f12353,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_55
| ~ spl2_57
| spl2_174
| spl2_190
| ~ spl2_251 ),
inference(forward_subsumption_resolution,[],[f12335,f8384]) ).
thf(f12355,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| spl2_127
| ~ spl2_162
| spl2_190
| ~ spl2_251 ),
inference(forward_subsumption_resolution,[],[f12339,f8384]) ).
thf(f12357,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_127
| ~ spl2_162
| spl2_190
| ~ spl2_251 ),
inference(forward_subsumption_resolution,[],[f12342,f4748]) ).
thf(f12358,plain,
( spl2_150
| ~ spl2_273
| ~ spl2_130
| spl2_190
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f12345,f11572,f8383,f4785,f12013,f5350]) ).
thf(f12362,plain,
( spl2_102
| ~ spl2_55
| ~ spl2_57
| spl2_174
| spl2_190
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f12353,f11572,f8383,f6997,f1392,f1339,f3919]) ).
thf(f12364,plain,
( spl2_150
| spl2_127
| ~ spl2_162
| spl2_190
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f12355,f11572,f8383,f6075,f4747,f5350]) ).
thf(f12366,plain,
( spl2_102
| spl2_127
| ~ spl2_162
| spl2_190
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f12357,f11572,f8383,f6075,f4747,f3919]) ).
thf(f12375,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_41
| ~ spl2_247 ),
inference(constrained_superposition,[],[f784,f11523]) ).
thf(f12383,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_41
| ~ spl2_247 ),
inference(trivial_inequality_removal,[],[f12375]) ).
thf(f12392,plain,
( $false
| ~ spl2_41
| ~ spl2_240
| ~ spl2_247 ),
inference(forward_subsumption_resolution,[],[f12383,f11455]) ).
thf(f12393,plain,
( ~ spl2_41
| ~ spl2_240
| ~ spl2_247 ),
inference(avatar_contradiction_clause,[],[f12392]) ).
thf(f12592,definition,
( spl2_277
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_277])],[avatar_definition]) ).
thf(f12593,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_277 ),
inference(avatar_component_clause,[],[f12592]) ).
thf(f12608,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_1
| spl2_253 ),
inference(constrained_superposition,[],[f11605,f10369]) ).
thf(f12612,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_1
| spl2_253 ),
inference(trivial_inequality_removal,[],[f12608]) ).
thf(f12642,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_9
| ~ spl2_237 ),
inference(constrained_superposition,[],[f135,f11444]) ).
thf(f12643,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true ) )
| ~ spl2_237 ),
inference(constrained_superposition,[],[f84,f11444]) ).
thf(f12654,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f12642]) ).
thf(f12659,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f12643]) ).
thf(f12668,definition,
( spl2_279
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_279])],[avatar_definition]) ).
thf(f12669,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_279 ),
inference(avatar_component_clause,[],[f12668]) ).
thf(f12670,plain,
( ~ spl2_165
| spl2_279
| ~ spl2_9
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f12654,f11443,f134,f12668,f6204]) ).
thf(f12675,plain,
( spl2_246
| ~ spl2_165
| spl2_247
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f12659,f11443,f11522,f6204,f11517]) ).
thf(f12676,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_255 ),
inference(avatar_component_clause,[],[f11611]) ).
thf(f12678,definition,
( spl2_281
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_281])],[avatar_definition]) ).
thf(f12679,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_281 ),
inference(avatar_component_clause,[],[f12678]) ).
thf(f12686,plain,
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_239 ),
inference(avatar_component_clause,[],[f11450]) ).
thf(f12688,definition,
( spl2_282
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_282])],[avatar_definition]) ).
thf(f12689,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_282 ),
inference(avatar_component_clause,[],[f12688]) ).
thf(f12692,definition,
( spl2_283
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_283])],[avatar_definition]) ).
thf(f12693,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_283 ),
inference(avatar_component_clause,[],[f12692]) ).
thf(f12697,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_1
| spl2_174
| spl2_253 ),
inference(forward_subsumption_resolution,[],[f12612,f6998]) ).
thf(f12702,plain,
( spl2_241
| spl2_150
| ~ spl2_1
| spl2_174
| spl2_253 ),
inference(avatar_split_clause,[],[f12697,f11604,f6997,f60,f5350,f11459]) ).
thf(f12707,plain,
( ( $true != $true )
| ~ spl2_237
| ~ spl2_246 ),
inference(constrained_superposition,[],[f11518,f11444]) ).
thf(f12708,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_246 ),
inference(constrained_superposition,[],[f11518,f78]) ).
thf(f12715,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f12708]) ).
thf(f12716,plain,
( $false
| ~ spl2_237
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f12707]) ).
thf(f12717,plain,
( ~ spl2_237
| ~ spl2_246 ),
inference(avatar_contradiction_clause,[],[f12716]) ).
thf(f12720,plain,
( spl2_279
| ~ spl2_246 ),
inference(avatar_split_clause,[],[f12715,f11517,f12668]) ).
thf(f12738,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_162
| ~ spl2_239 ),
inference(constrained_superposition,[],[f6136,f12686]) ).
thf(f12745,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_162
| ~ spl2_239 ),
inference(constrained_superposition,[],[f6139,f12686]) ).
thf(f12752,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_162
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f12738]) ).
thf(f12760,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_162
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f12745]) ).
thf(f12766,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_253 ),
inference(avatar_component_clause,[],[f11604]) ).
thf(f12767,plain,
( spl2_253
| spl2_102
| ~ spl2_162
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f12752,f11450,f6075,f3919,f11604]) ).
thf(f12773,definition,
( spl2_285
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_285])],[avatar_definition]) ).
thf(f12774,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_285 ),
inference(avatar_component_clause,[],[f12773]) ).
thf(f12776,plain,
( spl2_251
| spl2_253
| ~ spl2_162
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f12760,f11450,f6075,f11604,f11572]) ).
thf(f12893,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| spl2_279 ),
inference(avatar_component_clause,[],[f12668]) ).
thf(f13082,definition,
( spl2_287
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_287])],[avatar_definition]) ).
thf(f13083,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_287 ),
inference(avatar_component_clause,[],[f13082]) ).
thf(f13086,definition,
( spl2_288
<=> ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_288])],[avatar_definition]) ).
thf(f13087,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_288 ),
inference(avatar_component_clause,[],[f13086]) ).
thf(f13089,definition,
( spl2_289
<=> ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_289])],[avatar_definition]) ).
thf(f13090,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_289 ),
inference(avatar_component_clause,[],[f13089]) ).
thf(f13114,definition,
( spl2_292
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_292])],[avatar_definition]) ).
thf(f13115,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_292 ),
inference(avatar_component_clause,[],[f13114]) ).
thf(f13126,definition,
( spl2_293
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_293])],[avatar_definition]) ).
thf(f13148,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_240
| ~ spl2_275 ),
inference(constrained_superposition,[],[f12070,f11455]) ).
thf(f13171,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_240
| ~ spl2_275 ),
inference(duplicate_literal_removal,[],[f13148]) ).
thf(f13172,plain,
( ! [X0: $i] :
( ( b @ sK1 @ X0 )
!= $true )
| ~ spl2_240
| ~ spl2_275 ),
inference(trivial_inequality_removal,[],[f13171]) ).
thf(f13180,plain,
( spl2_62
| ~ spl2_240
| ~ spl2_275 ),
inference(avatar_split_clause,[],[f13172,f12069,f11454,f1600]) ).
thf(f13263,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_245 ),
inference(constrained_superposition,[],[f11515,f78]) ).
thf(f13271,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f13263]) ).
thf(f13274,definition,
( spl2_300
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_300])],[avatar_definition]) ).
thf(f13275,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| spl2_300 ),
inference(avatar_component_clause,[],[f13274]) ).
thf(f13277,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_245
| spl2_279 ),
inference(forward_subsumption_resolution,[],[f13271,f12893]) ).
thf(f13293,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_245
| spl2_279 ),
inference(constrained_superposition,[],[f13277,f52]) ).
thf(f13297,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_245
| spl2_279 ),
inference(trivial_inequality_removal,[],[f13293]) ).
thf(f13301,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_245
| spl2_279 ),
inference(forward_subsumption_resolution,[],[f13297,f41]) ).
thf(f13303,plain,
( $false
| spl2_153
| ~ spl2_245
| spl2_279 ),
inference(forward_subsumption_resolution,[],[f13301,f5538]) ).
thf(f13304,plain,
( spl2_153
| ~ spl2_245
| spl2_279 ),
inference(avatar_contradiction_clause,[],[f13303]) ).
thf(f13308,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_122
| ~ spl2_231 ),
inference(constrained_superposition,[],[f9712,f11419]) ).
thf(f13316,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_122
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f13308]) ).
thf(f13323,plain,
( ~ spl2_250
| spl2_249
| ~ spl2_122
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f13316,f11418,f4615,f11547,f11550]) ).
thf(f13363,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_37
| ~ spl2_247 ),
inference(constrained_superposition,[],[f9631,f11523]) ).
thf(f13380,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_37
| ~ spl2_247 ),
inference(trivial_inequality_removal,[],[f13363]) ).
thf(f13388,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| spl2_240 ),
inference(avatar_component_clause,[],[f11454]) ).
thf(f13389,plain,
( spl2_275
| ~ spl2_240
| ~ spl2_37
| ~ spl2_247 ),
inference(avatar_split_clause,[],[f13380,f11522,f700,f11454,f12069]) ).
thf(f13404,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_287 ),
inference(constrained_superposition,[],[f13083,f78]) ).
thf(f13414,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f13404]) ).
thf(f13417,definition,
( spl2_301
<=> ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_301])],[avatar_definition]) ).
thf(f13418,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_301 ),
inference(avatar_component_clause,[],[f13417]) ).
thf(f13419,plain,
( ~ spl2_301
| spl2_292
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f13414,f13082,f13114,f13417]) ).
thf(f13430,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_293 ),
inference(avatar_component_clause,[],[f13126]) ).
thf(f13432,definition,
( spl2_302
<=> ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_302])],[avatar_definition]) ).
thf(f13433,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| spl2_302 ),
inference(avatar_component_clause,[],[f13432]) ).
thf(f13438,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| spl2_301 ),
inference(constrained_superposition,[],[f13418,f29]) ).
thf(f13441,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_301 ),
inference(trivial_inequality_removal,[],[f13438]) ).
thf(f13445,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| spl2_279
| spl2_301 ),
inference(forward_subsumption_resolution,[],[f13441,f12893]) ).
thf(f13448,plain,
( spl2_243
| spl2_279
| spl2_301 ),
inference(avatar_split_clause,[],[f13445,f13417,f12668,f11476]) ).
thf(f13460,definition,
( spl2_303
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_303])],[avatar_definition]) ).
thf(f13461,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_303 ),
inference(avatar_component_clause,[],[f13460]) ).
thf(f13468,definition,
( spl2_305
<=> ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_305])],[avatar_definition]) ).
thf(f13469,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_305 ),
inference(avatar_component_clause,[],[f13468]) ).
thf(f13471,definition,
( spl2_306
<=> ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_306])],[avatar_definition]) ).
thf(f13472,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_306 ),
inference(avatar_component_clause,[],[f13471]) ).
thf(f13563,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| ~ spl2_55
| ~ spl2_249 ),
inference(constrained_superposition,[],[f11548,f9242]) ).
thf(f13573,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_1
| ~ spl2_55
| ~ spl2_249 ),
inference(duplicate_literal_removal,[],[f13563]) ).
thf(f13574,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true ) )
| ~ spl2_1
| ~ spl2_55
| ~ spl2_249 ),
inference(trivial_inequality_removal,[],[f13573]) ).
thf(f13591,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| ~ spl2_55
| spl2_240
| ~ spl2_249 ),
inference(forward_subsumption_resolution,[],[f13574,f13388]) ).
thf(f13606,definition,
( spl2_313
<=> ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_313])],[avatar_definition]) ).
thf(f13607,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ~ spl2_313 ),
inference(avatar_component_clause,[],[f13606]) ).
thf(f13608,plain,
( spl2_313
| spl2_251
| ~ spl2_1
| ~ spl2_55
| spl2_240
| ~ spl2_249 ),
inference(avatar_split_clause,[],[f13591,f11547,f11454,f1339,f60,f11572,f13606]) ).
thf(f13623,plain,
( ( $true != $true )
| ~ spl2_134
| ~ spl2_313 ),
inference(constrained_superposition,[],[f13607,f4802]) ).
thf(f13624,plain,
( ( $true != $true )
| ~ spl2_123
| ~ spl2_313 ),
inference(constrained_superposition,[],[f13607,f4620]) ).
thf(f13637,plain,
( $false
| ~ spl2_134
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f13623]) ).
thf(f13638,plain,
( ~ spl2_134
| ~ spl2_313 ),
inference(avatar_contradiction_clause,[],[f13637]) ).
thf(f13645,plain,
( $false
| ~ spl2_123
| ~ spl2_313 ),
inference(trivial_inequality_removal,[],[f13624]) ).
thf(f13646,plain,
( ~ spl2_123
| ~ spl2_313 ),
inference(avatar_contradiction_clause,[],[f13645]) ).
thf(f13668,plain,
( ( $true != $true )
| ~ spl2_50
| ~ spl2_56 ),
inference(constrained_superposition,[],[f956,f1343]) ).
thf(f13670,plain,
( ( $true != $true )
| ~ spl2_37
| ~ spl2_50 ),
inference(constrained_superposition,[],[f956,f864]) ).
thf(f13686,plain,
( $false
| ~ spl2_50
| ~ spl2_56 ),
inference(trivial_inequality_removal,[],[f13668]) ).
thf(f13687,plain,
( ~ spl2_50
| ~ spl2_56 ),
inference(avatar_contradiction_clause,[],[f13686]) ).
thf(f13691,plain,
( $false
| ~ spl2_37
| ~ spl2_50 ),
inference(trivial_inequality_removal,[],[f13670]) ).
thf(f13692,plain,
( ~ spl2_37
| ~ spl2_50 ),
inference(avatar_contradiction_clause,[],[f13691]) ).
thf(f13699,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_166
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f10261,f41]) ).
thf(f13710,plain,
( ~ spl2_126
| spl2_200
| ~ spl2_122
| ~ spl2_123
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f9982,f6515,f4619,f4615,f9510,f4629]) ).
thf(f13712,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_56 ),
inference(avatar_component_clause,[],[f1342]) ).
thf(f13718,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| spl2_31
| spl2_166
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f10958,f4541]) ).
thf(f13729,plain,
( spl2_56
| ~ spl2_13
| spl2_166 ),
inference(avatar_split_clause,[],[f10636,f6208,f308,f1342]) ).
thf(f13735,definition,
( spl2_319
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_319])],[avatar_definition]) ).
thf(f13736,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_319 ),
inference(avatar_component_clause,[],[f13735]) ).
thf(f13737,plain,
( spl2_56
| spl2_319
| ~ spl2_13
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f10672,f4619,f308,f13735,f1342]) ).
thf(f13739,plain,
( spl2_56
| spl2_166
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f13699,f6504,f6208,f1342]) ).
thf(f13745,plain,
( spl2_56
| spl2_31
| spl2_166
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f13718,f6504,f6208,f608,f1342]) ).
thf(f13760,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_122
| spl2_154
| ~ spl2_162
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f10605,f5541]) ).
thf(f13762,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_31
| ~ spl2_122
| spl2_154
| ~ spl2_162
| ~ spl2_170 ),
inference(forward_subsumption_resolution,[],[f13760,f4541]) ).
thf(f13764,plain,
( ~ spl2_166
| spl2_213
| spl2_31
| ~ spl2_122
| spl2_154
| ~ spl2_162
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f13762,f6515,f6075,f5540,f4615,f608,f10014,f6208]) ).
thf(f13792,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| spl2_300 ),
inference(constrained_superposition,[],[f13275,f29]) ).
thf(f13793,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_300 ),
inference(trivial_inequality_removal,[],[f13792]) ).
thf(f13795,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_178
| spl2_300 ),
inference(forward_subsumption_resolution,[],[f13793,f8110]) ).
thf(f13798,plain,
( $false
| spl2_178
| spl2_300 ),
inference(forward_subsumption_resolution,[],[f13795,f41]) ).
thf(f13799,plain,
( spl2_178
| spl2_300 ),
inference(avatar_contradiction_clause,[],[f13798]) ).
thf(f13825,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_126
| ~ spl2_211 ),
inference(constrained_superposition,[],[f9956,f4630]) ).
thf(f13829,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_86
| ~ spl2_126 ),
inference(constrained_superposition,[],[f2596,f4630]) ).
thf(f13831,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_13
| ~ spl2_126 ),
inference(constrained_superposition,[],[f10641,f4630]) ).
thf(f13834,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_126
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f13825]) ).
thf(f13835,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_13
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f13831]) ).
thf(f13842,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_86
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f13829]) ).
thf(f13871,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_246 ),
inference(constrained_superposition,[],[f11518,f50]) ).
thf(f13877,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_246 ),
inference(trivial_inequality_removal,[],[f13871]) ).
thf(f13879,plain,
( $false
| spl2_240
| ~ spl2_246 ),
inference(forward_subsumption_resolution,[],[f13877,f13388]) ).
thf(f13880,plain,
( spl2_240
| ~ spl2_246 ),
inference(avatar_contradiction_clause,[],[f13879]) ).
thf(f13881,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_126
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f10841,f4630]) ).
thf(f13893,plain,
( spl2_156
| ~ spl2_138
| ~ spl2_103
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f9709,f4615,f3922,f5056,f5603]) ).
thf(f13894,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_126
| ~ spl2_168 ),
inference(forward_subsumption_resolution,[],[f13881,f41]) ).
thf(f13902,plain,
( spl2_138
| spl2_200
| spl2_150
| ~ spl2_122
| ~ spl2_123
| ~ spl2_126
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f13894,f6504,f4629,f4619,f4615,f5350,f9510,f5056]) ).
thf(f13925,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_138 ),
inference(constrained_superposition,[],[f9714,f5057]) ).
thf(f13938,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f13925]) ).
thf(f13941,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_134
| ~ spl2_138 ),
inference(forward_subsumption_resolution,[],[f13938,f4802]) ).
thf(f13951,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_13
| ~ spl2_240 ),
inference(constrained_superposition,[],[f10641,f11455]) ).
thf(f13955,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_13
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f13951]) ).
thf(f13959,plain,
( spl2_247
| spl2_274
| ~ spl2_13
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f13955,f11454,f308,f12065,f11522]) ).
thf(f13961,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_43
| ~ spl2_134
| ~ spl2_162
| ~ spl2_279 ),
inference(constrained_superposition,[],[f10611,f12669]) ).
thf(f13966,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_43
| ~ spl2_134
| ~ spl2_162
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f13961]) ).
thf(f13971,plain,
( spl2_277
| spl2_102
| ~ spl2_43
| ~ spl2_134
| ~ spl2_162
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f13966,f12668,f6075,f4801,f808,f3919,f12592]) ).
thf(f13976,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true ) )
| ~ spl2_19
| ~ spl2_255 ),
inference(constrained_superposition,[],[f8089,f12676]) ).
thf(f13980,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_19
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f13976]) ).
thf(f13982,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_19
| ~ spl2_240
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f13980,f11455]) ).
thf(f13983,plain,
( spl2_275
| ~ spl2_19
| ~ spl2_240
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f13982,f11611,f11454,f362,f12069]) ).
thf(f13984,plain,
( spl2_19
| spl2_39
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f6249,f60,f726,f362]) ).
thf(f14007,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_134
| ~ spl2_138 ),
inference(constrained_superposition,[],[f13941,f4616]) ).
thf(f14037,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_134
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f14007]) ).
thf(f14043,plain,
( $false
| ~ spl2_122
| ~ spl2_123
| ~ spl2_134
| ~ spl2_138 ),
inference(forward_subsumption_resolution,[],[f14037,f5057]) ).
thf(f14044,plain,
( ~ spl2_122
| ~ spl2_123
| ~ spl2_134
| ~ spl2_138 ),
inference(avatar_contradiction_clause,[],[f14043]) ).
thf(f14081,plain,
( ( $true != $true )
| ~ spl2_11
| spl2_79 ),
inference(constrained_superposition,[],[f3679,f165]) ).
thf(f14082,plain,
( ( $true != $true )
| ~ spl2_11
| spl2_56 ),
inference(constrained_superposition,[],[f13712,f165]) ).
thf(f14083,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_11
| ~ spl2_211 ),
inference(constrained_superposition,[],[f9956,f165]) ).
thf(f14084,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_11
| ~ spl2_48 ),
inference(constrained_superposition,[],[f894,f165]) ).
thf(f14095,plain,
( $false
| ~ spl2_11
| spl2_79 ),
inference(trivial_inequality_removal,[],[f14081]) ).
thf(f14096,plain,
( ~ spl2_11
| spl2_79 ),
inference(avatar_contradiction_clause,[],[f14095]) ).
thf(f14102,plain,
( $false
| ~ spl2_11
| spl2_56 ),
inference(trivial_inequality_removal,[],[f14082]) ).
thf(f14103,plain,
( ~ spl2_11
| spl2_56 ),
inference(avatar_contradiction_clause,[],[f14102]) ).
thf(f14109,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_11
| ~ spl2_48 ),
inference(trivial_inequality_removal,[],[f14084]) ).
thf(f14111,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_11
| ~ spl2_211 ),
inference(trivial_inequality_removal,[],[f14083]) ).
thf(f14115,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_11
| ~ spl2_43
| ~ spl2_48 ),
inference(forward_subsumption_resolution,[],[f14109,f818]) ).
thf(f14116,plain,
( $false
| ~ spl2_11
| ~ spl2_43
| ~ spl2_211 ),
inference(forward_subsumption_resolution,[],[f14111,f818]) ).
thf(f14117,plain,
( ~ spl2_11
| ~ spl2_43
| ~ spl2_211 ),
inference(avatar_contradiction_clause,[],[f14116]) ).
thf(f14119,plain,
( spl2_41
| ~ spl2_11
| ~ spl2_43
| ~ spl2_48 ),
inference(avatar_split_clause,[],[f14115,f893,f808,f164,f783]) ).
thf(f14121,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_170
| ~ spl2_178 ),
inference(constrained_superposition,[],[f9676,f7310]) ).
thf(f14123,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_123
| ~ spl2_178 ),
inference(constrained_superposition,[],[f8145,f7310]) ).
thf(f14124,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_13
| ~ spl2_178 ),
inference(constrained_superposition,[],[f10641,f7310]) ).
thf(f14129,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_170
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f14121]) ).
thf(f14131,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_123
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f14123]) ).
thf(f14132,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_13
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f14124]) ).
thf(f14133,plain,
( spl2_212
| ~ spl2_170
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f14129,f7309,f6515,f9999]) ).
thf(f14134,plain,
( spl2_209
| ~ spl2_123
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f14131,f7309,f4619,f9786]) ).
thf(f14135,plain,
( spl2_212
| spl2_138
| ~ spl2_13
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f14132,f7309,f308,f5056,f9999]) ).
thf(f14244,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_122
| ~ spl2_200 ),
inference(constrained_superposition,[],[f9511,f4616]) ).
thf(f14261,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_122
| ~ spl2_200 ),
inference(trivial_inequality_removal,[],[f14244]) ).
thf(f14268,plain,
( $false
| ~ spl2_122
| ~ spl2_170
| ~ spl2_200 ),
inference(forward_subsumption_resolution,[],[f14261,f6516]) ).
thf(f14269,plain,
( ~ spl2_122
| ~ spl2_170
| ~ spl2_200 ),
inference(avatar_contradiction_clause,[],[f14268]) ).
thf(f14288,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_131 ),
inference(constrained_superposition,[],[f4790,f50]) ).
thf(f14291,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_131 ),
inference(trivial_inequality_removal,[],[f14288]) ).
thf(f14296,plain,
( spl2_174
| ~ spl2_131 ),
inference(avatar_split_clause,[],[f14291,f4789,f6997]) ).
thf(f14299,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_134
| ~ spl2_174 ),
inference(constrained_superposition,[],[f7615,f7003]) ).
thf(f14305,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_134
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f14299]) ).
thf(f14309,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_43
| ~ spl2_134
| ~ spl2_174 ),
inference(forward_subsumption_resolution,[],[f14305,f818]) ).
thf(f14311,plain,
( spl2_195
| ~ spl2_43
| ~ spl2_134
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f14309,f6997,f4801,f808,f9029]) ).
thf(f14315,plain,
( $false
| ~ spl2_124
| ~ spl2_131 ),
inference(forward_subsumption_resolution,[],[f4623,f4790]) ).
thf(f14316,plain,
( ~ spl2_124
| ~ spl2_131 ),
inference(avatar_contradiction_clause,[],[f14315]) ).
thf(f14323,definition,
( spl2_330
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_330])],[avatar_definition]) ).
thf(f14324,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_330 ),
inference(avatar_component_clause,[],[f14323]) ).
thf(f14329,plain,
( ~ spl2_127
| ~ spl2_126
| ~ spl2_211 ),
inference(avatar_split_clause,[],[f13834,f9955,f4629,f4747]) ).
thf(f14332,plain,
( spl2_128
| ~ spl2_127
| ~ spl2_86
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f13842,f4629,f2595,f4747,f4750]) ).
thf(f14335,plain,
( spl2_22
| spl2_43
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f10370,f60,f808,f392]) ).
thf(f14338,plain,
( spl2_45
| spl2_37
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f10357,f60,f700,f820]) ).
thf(f14345,plain,
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_57
| ~ spl2_144 ),
inference(forward_subsumption_resolution,[],[f10033,f41]) ).
thf(f14348,definition,
( spl2_332
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_332])],[avatar_definition]) ).
thf(f14349,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_332 ),
inference(avatar_component_clause,[],[f14348]) ).
thf(f14350,plain,
( spl2_56
| spl2_332
| ~ spl2_13
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f13835,f4629,f308,f14348,f1342]) ).
thf(f14358,plain,
( spl2_37
| spl2_138
| ~ spl2_57
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f14345,f5169,f1392,f5056,f700]) ).
thf(f14415,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_38
| ~ spl2_146 ),
inference(constrained_superposition,[],[f9724,f704]) ).
thf(f14431,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_38
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f14415]) ).
thf(f14435,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_158 ),
inference(avatar_component_clause,[],[f5998]) ).
thf(f14436,plain,
( spl2_102
| spl2_158
| ~ spl2_38
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f14431,f5204,f703,f5998,f3919]) ).
thf(f14455,definition,
( spl2_337
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_337])],[avatar_definition]) ).
thf(f14456,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_337 ),
inference(avatar_component_clause,[],[f14455]) ).
thf(f14469,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_11
| ~ spl2_103
| ~ spl2_206 ),
inference(forward_subsumption_resolution,[],[f10914,f165]) ).
thf(f14472,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_11
| ~ spl2_103
| ~ spl2_206
| spl2_226 ),
inference(forward_subsumption_resolution,[],[f14469,f11371]) ).
thf(f14474,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_11
| ~ spl2_103
| ~ spl2_206
| spl2_226 ),
inference(forward_subsumption_resolution,[],[f14472,f41]) ).
thf(f14476,plain,
( spl2_127
| spl2_156
| ~ spl2_11
| ~ spl2_103
| ~ spl2_206
| spl2_226 ),
inference(avatar_split_clause,[],[f14474,f11370,f9764,f3922,f164,f5603,f4747]) ).
thf(f14494,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_137 ),
inference(constrained_superposition,[],[f5054,f50]) ).
thf(f14500,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_137 ),
inference(trivial_inequality_removal,[],[f14494]) ).
thf(f14502,plain,
( spl2_178
| ~ spl2_137 ),
inference(avatar_split_clause,[],[f14500,f5053,f7309]) ).
thf(f14533,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_153
| ~ spl2_170 ),
inference(constrained_superposition,[],[f9676,f5510]) ).
thf(f14534,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_122
| ~ spl2_153 ),
inference(constrained_superposition,[],[f9712,f5510]) ).
thf(f14540,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_122
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f14534]) ).
thf(f14542,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_153
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f14533]) ).
thf(f14544,plain,
( spl2_215
| ~ spl2_153
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f14542,f6515,f5509,f10725]) ).
thf(f14558,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ~ spl2_34 ),
inference(constrained_superposition,[],[f690,f78]) ).
thf(f14566,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_34 ),
inference(trivial_inequality_removal,[],[f14558]) ).
thf(f14609,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_126
| ~ spl2_128 ),
inference(constrained_superposition,[],[f4751,f4630]) ).
thf(f14625,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_126
| ~ spl2_128 ),
inference(trivial_inequality_removal,[],[f14609]) ).
thf(f14627,plain,
( $false
| ~ spl2_14
| ~ spl2_126
| ~ spl2_128 ),
inference(forward_subsumption_resolution,[],[f14625,f312]) ).
thf(f14628,plain,
( ~ spl2_14
| ~ spl2_126
| ~ spl2_128 ),
inference(avatar_contradiction_clause,[],[f14627]) ).
thf(f14632,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_122
| ~ spl2_337 ),
inference(constrained_superposition,[],[f14456,f4616]) ).
thf(f14648,plain,
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_122
| ~ spl2_337 ),
inference(trivial_inequality_removal,[],[f14632]) ).
thf(f14657,plain,
( spl2_216
| ~ spl2_56
| ~ spl2_122
| ~ spl2_153 ),
inference(avatar_split_clause,[],[f14540,f5509,f4615,f1342,f10732]) ).
thf(f14665,plain,
( ~ spl2_138
| ~ spl2_122
| ~ spl2_337 ),
inference(avatar_split_clause,[],[f14648,f14455,f4615,f5056]) ).
thf(f14681,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_122
| ~ spl2_138
| ~ spl2_170 ),
inference(constrained_superposition,[],[f9994,f5057]) ).
thf(f14684,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_122
| ~ spl2_138
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f14681]) ).
thf(f14690,plain,
( ~ spl2_14
| spl2_337
| ~ spl2_122
| ~ spl2_138
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f14684,f6515,f5056,f4615,f14455,f311]) ).
thf(f14692,definition,
( spl2_341
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_341])],[avatar_definition]) ).
thf(f14693,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_341 ),
inference(avatar_component_clause,[],[f14692]) ).
thf(f14695,plain,
( ~ spl2_21
| spl2_14
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f14566,f689,f311,f389]) ).
thf(f14697,definition,
( spl2_342
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_342])],[avatar_definition]) ).
thf(f14698,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_342 ),
inference(avatar_component_clause,[],[f14697]) ).
thf(f14747,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_279
| ~ spl2_330 ),
inference(constrained_superposition,[],[f14324,f12669]) ).
thf(f14756,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_279
| ~ spl2_330 ),
inference(trivial_inequality_removal,[],[f14747]) ).
thf(f14760,plain,
( $false
| ~ spl2_241
| ~ spl2_279
| ~ spl2_330 ),
inference(forward_subsumption_resolution,[],[f14756,f11460]) ).
thf(f14761,plain,
( ~ spl2_241
| ~ spl2_279
| ~ spl2_330 ),
inference(avatar_contradiction_clause,[],[f14760]) ).
thf(f14768,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_37
| ~ spl2_195 ),
inference(constrained_superposition,[],[f9030,f864]) ).
thf(f14779,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_37
| ~ spl2_195 ),
inference(trivial_inequality_removal,[],[f14768]) ).
thf(f14785,plain,
( spl2_5
| ~ spl2_37
| ~ spl2_195 ),
inference(avatar_split_clause,[],[f14779,f9029,f700,f112]) ).
thf(f14795,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_38
| ~ spl2_45 ),
inference(constrained_superposition,[],[f821,f704]) ).
thf(f14798,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_38
| ~ spl2_45 ),
inference(trivial_inequality_removal,[],[f14795]) ).
thf(f14801,plain,
( $false
| ~ spl2_38
| ~ spl2_45
| spl2_79 ),
inference(forward_subsumption_resolution,[],[f14798,f3679]) ).
thf(f14802,plain,
( ~ spl2_38
| ~ spl2_45
| spl2_79 ),
inference(avatar_contradiction_clause,[],[f14801]) ).
thf(f14860,definition,
( spl2_344
<=> ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_344])],[avatar_definition]) ).
thf(f14861,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_344 ),
inference(avatar_component_clause,[],[f14860]) ).
thf(f14888,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_126
| ~ spl2_213 ),
inference(constrained_superposition,[],[f10015,f4630]) ).
thf(f14889,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_174
| ~ spl2_213 ),
inference(constrained_superposition,[],[f10015,f7003]) ).
thf(f14898,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_126
| ~ spl2_213 ),
inference(trivial_inequality_removal,[],[f14888]) ).
thf(f14900,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_174
| ~ spl2_213 ),
inference(trivial_inequality_removal,[],[f14889]) ).
thf(f14905,plain,
( $false
| ~ spl2_126
| ~ spl2_166
| ~ spl2_213 ),
inference(forward_subsumption_resolution,[],[f14898,f6209]) ).
thf(f14906,plain,
( ~ spl2_126
| ~ spl2_166
| ~ spl2_213 ),
inference(avatar_contradiction_clause,[],[f14905]) ).
thf(f14907,plain,
( $false
| ~ spl2_127
| ~ spl2_174
| ~ spl2_213 ),
inference(forward_subsumption_resolution,[],[f14900,f4898]) ).
thf(f14908,plain,
( ~ spl2_127
| ~ spl2_174
| ~ spl2_213 ),
inference(avatar_contradiction_clause,[],[f14907]) ).
thf(f14913,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_42
| ~ spl2_166 ),
inference(constrained_superposition,[],[f806,f6209]) ).
thf(f14922,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_42
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f14913]) ).
thf(f14933,plain,
( spl2_337
| ~ spl2_42
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f14922,f6208,f805,f14455]) ).
thf(f14958,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| ~ spl2_281 ),
inference(constrained_superposition,[],[f12679,f50]) ).
thf(f14962,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f14958]) ).
thf(f14966,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_240
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f14962,f13388]) ).
thf(f14967,plain,
( ~ spl2_175
| spl2_240
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f14966,f12678,f11454,f7001]) ).
thf(f15004,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_126
| ~ spl2_216 ),
inference(constrained_superposition,[],[f10733,f4630]) ).
thf(f15005,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_174
| ~ spl2_216 ),
inference(constrained_superposition,[],[f10733,f7003]) ).
thf(f15014,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_126
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f15004]) ).
thf(f15019,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_174
| ~ spl2_216 ),
inference(trivial_inequality_removal,[],[f15005]) ).
thf(f15020,plain,
( spl2_198
| ~ spl2_126
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f15014,f10732,f4629,f9434]) ).
thf(f15022,plain,
( spl2_41
| ~ spl2_174
| ~ spl2_216 ),
inference(avatar_split_clause,[],[f15019,f10732,f6997,f783]) ).
thf(f15077,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_174
| ~ spl2_341 ),
inference(constrained_superposition,[],[f14693,f7003]) ).
thf(f15090,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_174
| ~ spl2_341 ),
inference(trivial_inequality_removal,[],[f15077]) ).
thf(f15093,plain,
( spl2_53
| ~ spl2_174
| ~ spl2_341 ),
inference(avatar_split_clause,[],[f15090,f14692,f6997,f1280]) ).
thf(f15103,definition,
( spl2_348
<=> ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_348])],[avatar_definition]) ).
thf(f15104,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_348 ),
inference(avatar_component_clause,[],[f15103]) ).
thf(f15106,plain,
( spl2_145
| spl2_144
| ~ spl2_122 ),
inference(avatar_split_clause,[],[f9710,f4615,f5169,f5172]) ).
thf(f15112,plain,
( spl2_240
| spl2_154
| spl2_238
| ~ spl2_1
| spl2_226 ),
inference(avatar_split_clause,[],[f12027,f11370,f60,f11446,f5540,f11454]) ).
thf(f15153,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_5
| ~ spl2_37 ),
inference(constrained_superposition,[],[f113,f864]) ).
thf(f15158,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_5
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f15153]) ).
thf(f15159,plain,
( $false
| ~ spl2_5
| ~ spl2_37
| ~ spl2_43 ),
inference(forward_subsumption_resolution,[],[f15158,f818]) ).
thf(f15160,plain,
( ~ spl2_5
| ~ spl2_37
| ~ spl2_43 ),
inference(avatar_contradiction_clause,[],[f15159]) ).
thf(f15161,plain,
( spl2_241
| spl2_178
| spl2_231
| ~ spl2_1
| spl2_226 ),
inference(avatar_split_clause,[],[f12026,f11370,f60,f11418,f7309,f11459]) ).
thf(f15167,plain,
( ~ spl2_239
| spl2_231
| spl2_178
| ~ spl2_1
| spl2_226 ),
inference(avatar_split_clause,[],[f12029,f11370,f60,f7309,f11418,f11450]) ).
thf(f15201,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_13
| ~ spl2_178 ),
inference(constrained_superposition,[],[f10641,f7310]) ).
thf(f15202,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_178 ),
inference(constrained_superposition,[],[f668,f7310]) ).
thf(f15204,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f15202]) ).
thf(f15206,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_13
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f15201]) ).
thf(f15209,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| spl2_144
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f15204,f7192]) ).
thf(f15210,plain,
( spl2_138
| spl2_212
| ~ spl2_13
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f15206,f7309,f308,f9999,f5056]) ).
thf(f15211,plain,
( spl2_203
| spl2_144
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f15209,f7309,f5169,f9584]) ).
thf(f15264,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_39
| ~ spl2_239 ),
inference(constrained_superposition,[],[f727,f12686]) ).
thf(f15278,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_39
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f15264]) ).
thf(f15282,plain,
( spl2_255
| ~ spl2_39
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f15278,f11450,f726,f11611]) ).
thf(f15352,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_122
| ~ spl2_156 ),
inference(constrained_superposition,[],[f5604,f4616]) ).
thf(f15353,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_156
| ~ spl2_178 ),
inference(constrained_superposition,[],[f5604,f7310]) ).
thf(f15358,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_122
| ~ spl2_156 ),
inference(trivial_inequality_removal,[],[f15352]) ).
thf(f15362,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_156
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f15353]) ).
thf(f15364,plain,
( $false
| ~ spl2_122
| ~ spl2_134
| ~ spl2_156 ),
inference(forward_subsumption_resolution,[],[f15358,f4802]) ).
thf(f15365,plain,
( ~ spl2_122
| ~ spl2_134
| ~ spl2_156 ),
inference(avatar_contradiction_clause,[],[f15364]) ).
thf(f15366,plain,
( $false
| ~ spl2_43
| ~ spl2_156
| ~ spl2_178 ),
inference(forward_subsumption_resolution,[],[f15362,f818]) ).
thf(f15367,plain,
( ~ spl2_43
| ~ spl2_156
| ~ spl2_178 ),
inference(avatar_contradiction_clause,[],[f15366]) ).
thf(f15385,plain,
( spl2_200
| ~ spl2_60
| ~ spl2_122
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f10008,f6515,f4615,f1497,f9510]) ).
thf(f15389,definition,
( spl2_353
<=> ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_353])],[avatar_definition]) ).
thf(f15390,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_353 ),
inference(avatar_component_clause,[],[f15389]) ).
thf(f15396,plain,
( spl2_13
| spl2_14
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f7335,f134,f311,f308]) ).
thf(f15438,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f668,f312]) ).
thf(f15439,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14 ),
inference(constrained_superposition,[],[f31,f312]) ).
thf(f15440,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f15439]) ).
thf(f15441,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f15438]) ).
thf(f15464,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_174 ),
inference(constrained_superposition,[],[f668,f7003]) ).
thf(f15467,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f15464]) ).
thf(f15495,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_122
| ~ spl2_178 ),
inference(constrained_superposition,[],[f9712,f7310]) ).
thf(f15501,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_122
| ~ spl2_178 ),
inference(trivial_inequality_removal,[],[f15495]) ).
thf(f15544,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ~ spl2_1
| spl2_138 ),
inference(constrained_superposition,[],[f8190,f10369]) ).
thf(f15549,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_1
| spl2_138 ),
inference(trivial_inequality_removal,[],[f15544]) ).
thf(f15570,plain,
( ( $true != $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_1
| spl2_166 ),
inference(constrained_superposition,[],[f10012,f10369]) ).
thf(f15573,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_1
| spl2_166 ),
inference(trivial_inequality_removal,[],[f15570]) ).
thf(f15583,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_122
| ~ spl2_158 ),
inference(constrained_superposition,[],[f9712,f14435]) ).
thf(f15585,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_158 ),
inference(constrained_superposition,[],[f31,f14435]) ).
thf(f15587,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_158 ),
inference(trivial_inequality_removal,[],[f15585]) ).
thf(f15588,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true ) )
| ~ spl2_122
| ~ spl2_158 ),
inference(trivial_inequality_removal,[],[f15583]) ).
thf(f15636,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_130 ),
inference(constrained_superposition,[],[f4786,f78]) ).
thf(f15643,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f15636]) ).
thf(f15765,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_174
| ~ spl2_353 ),
inference(constrained_superposition,[],[f15390,f7003]) ).
thf(f15776,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_174
| ~ spl2_353 ),
inference(trivial_inequality_removal,[],[f15765]) ).
thf(f15779,plain,
( spl2_5
| ~ spl2_174
| ~ spl2_353 ),
inference(avatar_split_clause,[],[f15776,f15389,f6997,f112]) ).
thf(f15782,definition,
( spl2_356
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_356])],[avatar_definition]) ).
thf(f15783,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_356 ),
inference(avatar_component_clause,[],[f15782]) ).
thf(f15788,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_31
| spl2_166 ),
inference(forward_subsumption_resolution,[],[f15573,f4541]) ).
thf(f15789,plain,
( spl2_353
| ~ spl2_127
| ~ spl2_122
| ~ spl2_178 ),
inference(avatar_split_clause,[],[f15501,f7309,f4615,f4747,f15389]) ).
thf(f15790,plain,
( spl2_55
| spl2_179
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f15467,f6997,f7396,f1339]) ).
thf(f15793,plain,
( spl2_19
| spl2_127
| ~ spl2_1
| spl2_31
| spl2_166 ),
inference(avatar_split_clause,[],[f15788,f6208,f608,f60,f4747,f362]) ).
thf(f15795,plain,
( ( $true != $true )
| ~ spl2_62
| ~ spl2_154 ),
inference(constrained_superposition,[],[f1601,f9578]) ).
thf(f15800,plain,
( $false
| ~ spl2_62
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f15795]) ).
thf(f15801,plain,
( ~ spl2_62
| ~ spl2_154 ),
inference(avatar_contradiction_clause,[],[f15800]) ).
thf(f15805,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_1
| spl2_138 ),
inference(forward_subsumption_resolution,[],[f15549,f41]) ).
thf(f15806,plain,
( ~ spl2_19
| spl2_356
| spl2_144
| ~ spl2_122
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f10010,f6515,f4615,f5169,f15782,f362]) ).
thf(f15807,plain,
( ~ spl2_151
| spl2_134
| ~ spl2_130 ),
inference(avatar_split_clause,[],[f15643,f4785,f4801,f5443]) ).
thf(f15815,plain,
( spl2_154
| spl2_37
| ~ spl2_1
| spl2_138 ),
inference(avatar_split_clause,[],[f15805,f5056,f60,f700,f5540]) ).
thf(f15823,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true ) )
| ~ spl2_37 ),
inference(constrained_superposition,[],[f31,f864]) ).
thf(f15825,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_37 ),
inference(trivial_inequality_removal,[],[f15823]) ).
thf(f15878,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_56 ),
inference(constrained_superposition,[],[f13712,f10369]) ).
thf(f15883,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_1
| spl2_56 ),
inference(trivial_inequality_removal,[],[f15878]) ).
thf(f15971,plain,
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_125
| ~ spl2_162 ),
inference(constrained_superposition,[],[f6076,f4627]) ).
thf(f15978,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_125
| ~ spl2_162 ),
inference(trivial_inequality_removal,[],[f15971]) ).
thf(f15983,plain,
( $false
| ~ spl2_38
| ~ spl2_125
| ~ spl2_162 ),
inference(forward_subsumption_resolution,[],[f15978,f704]) ).
thf(f15984,plain,
( ~ spl2_38
| ~ spl2_125
| ~ spl2_162 ),
inference(avatar_contradiction_clause,[],[f15983]) ).
thf(f15988,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_122
| ~ spl2_356 ),
inference(constrained_superposition,[],[f15783,f4616]) ).
thf(f15994,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_122
| ~ spl2_356 ),
inference(trivial_inequality_removal,[],[f15988]) ).
thf(f15998,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f668,f4620]) ).
thf(f15999,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_123 ),
inference(constrained_superposition,[],[f31,f4620]) ).
thf(f16001,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f15999]) ).
thf(f16002,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f15998]) ).
thf(f16010,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_146 ),
inference(constrained_superposition,[],[f5205,f78]) ).
thf(f16015,plain,
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_146 ),
inference(trivial_inequality_removal,[],[f16010]) ).
thf(f16037,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f31,f11419]) ).
thf(f16038,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f16037]) ).
thf(f16044,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ X2 @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_238 ),
inference(constrained_superposition,[],[f31,f11447]) ).
thf(f16046,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f16044]) ).
thf(f16128,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_203 ),
inference(constrained_superposition,[],[f9585,f4620]) ).
thf(f16133,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_203 ),
inference(trivial_inequality_removal,[],[f16128]) ).
thf(f16139,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_123
| ~ spl2_127
| ~ spl2_203 ),
inference(forward_subsumption_resolution,[],[f16133,f4898]) ).
thf(f16143,plain,
( spl2_129
| ~ spl2_123
| ~ spl2_127
| ~ spl2_203 ),
inference(avatar_split_clause,[],[f16139,f9584,f4747,f4619,f4757]) ).
thf(f16197,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_306 ),
inference(avatar_component_clause,[],[f13471]) ).
thf(f16228,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( $true != $true )
| spl2_302 ),
inference(constrained_superposition,[],[f13433,f50]) ).
thf(f16230,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| spl2_302 ),
inference(trivial_inequality_removal,[],[f16228]) ).
thf(f16232,plain,
( ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_292
| ~ spl2_330 ),
inference(constrained_superposition,[],[f14324,f13115]) ).
thf(f16237,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_292
| ~ spl2_330 ),
inference(trivial_inequality_removal,[],[f16232]) ).
thf(f16244,plain,
( $false
| ~ spl2_292
| ~ spl2_306
| ~ spl2_330 ),
inference(forward_subsumption_resolution,[],[f16237,f13472]) ).
thf(f16245,plain,
( ~ spl2_292
| ~ spl2_306
| ~ spl2_330 ),
inference(avatar_contradiction_clause,[],[f16244]) ).
thf(f16268,definition,
( spl2_361
<=> ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_361])],[avatar_definition]) ).
thf(f16269,plain,
( ! [X1: $i] :
( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ~ spl2_361 ),
inference(avatar_component_clause,[],[f16268]) ).
thf(f16291,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_39
| ~ spl2_266 ),
inference(constrained_superposition,[],[f727,f11800]) ).
thf(f16305,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_39
| ~ spl2_266 ),
inference(trivial_inequality_removal,[],[f16291]) ).
thf(f16377,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_79
| ~ spl2_88 ),
inference(constrained_superposition,[],[f2642,f2303]) ).
thf(f16382,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_79
| ~ spl2_88 ),
inference(duplicate_literal_removal,[],[f16377]) ).
thf(f16383,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_79
| ~ spl2_88 ),
inference(trivial_inequality_removal,[],[f16382]) ).
thf(f16387,plain,
( spl2_330
| ~ spl2_79
| ~ spl2_88 ),
inference(avatar_split_clause,[],[f16383,f2641,f2302,f14323]) ).
thf(f16438,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_123
| ~ spl2_212 ),
inference(constrained_superposition,[],[f10000,f4620]) ).
thf(f16448,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_123
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f16438]) ).
thf(f16477,definition,
( spl2_362
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true ) ) ),
introduced(definition,[new_symbols(definition,[spl2_362])],[avatar_definition]) ).
thf(f16478,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_362 ),
inference(avatar_component_clause,[],[f16477]) ).
thf(f16485,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_145 ),
inference(constrained_superposition,[],[f5173,f4620]) ).
thf(f16495,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_123
| ~ spl2_145 ),
inference(trivial_inequality_removal,[],[f16485]) ).
thf(f16499,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_127
| ~ spl2_145 ),
inference(forward_subsumption_resolution,[],[f16495,f4898]) ).
thf(f16502,plain,
( spl2_213
| ~ spl2_123
| ~ spl2_127
| ~ spl2_145 ),
inference(avatar_split_clause,[],[f16499,f5172,f4747,f4619,f10014]) ).
thf(f16520,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_123
| ~ spl2_209 ),
inference(constrained_superposition,[],[f9787,f4620]) ).
thf(f16526,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_123
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f16520]) ).
thf(f16537,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_123
| ~ spl2_215 ),
inference(constrained_superposition,[],[f10726,f4620]) ).
thf(f16544,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_123
| ~ spl2_215 ),
inference(trivial_inequality_removal,[],[f16537]) ).
thf(f16554,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_231
| ~ spl2_274 ),
inference(constrained_superposition,[],[f12066,f11419]) ).
thf(f16562,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_231
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f16554]) ).
thf(f16563,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_170
| ~ spl2_231
| ~ spl2_274 ),
inference(forward_subsumption_resolution,[],[f16562,f6516]) ).
thf(f16564,plain,
( spl2_157
| ~ spl2_170
| ~ spl2_231
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f16563,f12065,f11418,f6515,f5613]) ).
thf(f16586,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_170 ),
inference(constrained_superposition,[],[f15440,f6516]) ).
thf(f16590,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true ) )
| ~ spl2_1
| ~ spl2_14 ),
inference(constrained_superposition,[],[f15440,f10369]) ).
thf(f16596,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_14
| ~ spl2_170 ),
inference(trivial_inequality_removal,[],[f16586]) ).
thf(f16597,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ X0 ) ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_1
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f16590]) ).
thf(f16603,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( sK0 @ sK1 )
= X0 )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_1
| ~ spl2_14
| ~ spl2_330 ),
inference(forward_subsumption_resolution,[],[f16597,f14324]) ).
thf(f16608,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ X0 ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ X0 ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X2 ) )
| ( ( sK0 @ sK1 )
= X0 ) )
| ~ spl2_1
| ~ spl2_14
| spl2_19
| ~ spl2_330 ),
inference(forward_subsumption_resolution,[],[f16603,f363]) ).
thf(f16611,plain,
( spl2_201
| ~ spl2_153
| ~ spl2_14
| ~ spl2_170 ),
inference(avatar_split_clause,[],[f16596,f6515,f311,f5509,f9534]) ).
thf(f16623,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_292
| ~ spl2_362 ),
inference(constrained_superposition,[],[f16478,f13115]) ).
thf(f16628,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_292
| ~ spl2_362 ),
inference(duplicate_literal_removal,[],[f16623]) ).
thf(f16629,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_292
| ~ spl2_362 ),
inference(trivial_inequality_removal,[],[f16628]) ).
thf(f16634,plain,
( spl2_50
| ~ spl2_292
| ~ spl2_362 ),
inference(avatar_split_clause,[],[f16629,f16477,f13114,f955]) ).
thf(f16638,plain,
( spl2_289
| ~ spl2_39
| ~ spl2_266 ),
inference(avatar_split_clause,[],[f16305,f11799,f726,f13089]) ).
thf(f16639,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_289 ),
inference(constrained_superposition,[],[f15440,f13090]) ).
thf(f16643,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_14
| ~ spl2_289 ),
inference(trivial_inequality_removal,[],[f16639]) ).
thf(f16645,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_292 ),
inference(avatar_component_clause,[],[f13114]) ).
thf(f16646,plain,
( spl2_362
| ~ spl2_292
| ~ spl2_14
| ~ spl2_289 ),
inference(avatar_split_clause,[],[f16643,f13089,f311,f13114,f16477]) ).
thf(f16768,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_123
| ~ spl2_207 ),
inference(constrained_superposition,[],[f9769,f4620]) ).
thf(f16772,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_123
| ~ spl2_207 ),
inference(trivial_inequality_removal,[],[f16768]) ).
thf(f16848,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_319 ),
inference(constrained_superposition,[],[f13736,f4620]) ).
thf(f16855,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_123
| ~ spl2_319 ),
inference(duplicate_literal_removal,[],[f16848]) ).
thf(f16856,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_123
| ~ spl2_319 ),
inference(trivial_inequality_removal,[],[f16855]) ).
thf(f16861,plain,
( spl2_200
| ~ spl2_123
| ~ spl2_319 ),
inference(avatar_split_clause,[],[f16856,f13735,f4619,f9510]) ).
thf(f16868,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_231
| ~ spl2_348 ),
inference(constrained_superposition,[],[f15104,f11419]) ).
thf(f16876,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_231
| ~ spl2_348 ),
inference(duplicate_literal_removal,[],[f16868]) ).
thf(f16877,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_231
| ~ spl2_348 ),
inference(trivial_inequality_removal,[],[f16876]) ).
thf(f16879,plain,
( spl2_344
| ~ spl2_231
| ~ spl2_348 ),
inference(avatar_split_clause,[],[f16877,f15103,f11418,f14860]) ).
thf(f16897,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_14
| ~ spl2_118 ),
inference(constrained_superposition,[],[f4588,f312]) ).
thf(f16903,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_14
| ~ spl2_118 ),
inference(trivial_inequality_removal,[],[f16897]) ).
thf(f16910,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_14
| ~ spl2_79
| ~ spl2_118 ),
inference(forward_subsumption_resolution,[],[f16903,f2303]) ).
thf(f16920,plain,
( spl2_42
| ~ spl2_14
| ~ spl2_79
| ~ spl2_118 ),
inference(avatar_split_clause,[],[f16910,f4587,f2302,f311,f805]) ).
thf(f17024,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_234 ),
inference(constrained_superposition,[],[f302,f11429]) ).
thf(f17037,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f17024]) ).
thf(f17046,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_234
| spl2_255 ),
inference(forward_subsumption_resolution,[],[f17037,f11612]) ).
thf(f17056,plain,
( spl2_281
| ~ spl2_234
| spl2_255 ),
inference(avatar_split_clause,[],[f17046,f11611,f11428,f12678]) ).
thf(f17109,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_231 ),
inference(constrained_superposition,[],[f16001,f11419]) ).
thf(f17110,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_122
| ~ spl2_123 ),
inference(constrained_superposition,[],[f16001,f4616]) ).
thf(f17116,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f17109]) ).
thf(f17118,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_122
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f17110]) ).
thf(f17147,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_122
| ~ spl2_123 ),
inference(constrained_superposition,[],[f17118,f4620]) ).
thf(f17153,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_122
| ~ spl2_123 ),
inference(trivial_inequality_removal,[],[f17147]) ).
thf(f17194,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_158
| ~ spl2_231 ),
inference(constrained_superposition,[],[f15587,f11419]) ).
thf(f17195,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_122
| ~ spl2_158 ),
inference(constrained_superposition,[],[f15587,f4616]) ).
thf(f17202,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_122
| ~ spl2_158 ),
inference(trivial_inequality_removal,[],[f17195]) ).
thf(f17205,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) ) )
| ~ spl2_158
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f17194]) ).
thf(f17210,definition,
( spl2_367
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_367])],[avatar_definition]) ).
thf(f17211,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_367 ),
inference(avatar_component_clause,[],[f17210]) ).
thf(f17213,definition,
( spl2_368
<=> ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_368])],[avatar_definition]) ).
thf(f17214,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| spl2_368 ),
inference(avatar_component_clause,[],[f17213]) ).
thf(f17215,plain,
( spl2_367
| ~ spl2_368
| ~ spl2_158
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f17205,f11418,f5998,f17213,f17210]) ).
thf(f17245,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true != $true )
| ~ spl2_1
| spl2_368 ),
inference(constrained_superposition,[],[f17214,f9240]) ).
thf(f17248,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_368 ),
inference(trivial_inequality_removal,[],[f17245]) ).
thf(f17255,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_123
| ~ spl2_231 ),
inference(constrained_superposition,[],[f17116,f11419]) ).
thf(f17263,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_123
| ~ spl2_231 ),
inference(duplicate_literal_removal,[],[f17255]) ).
thf(f17264,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_123
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f17263]) ).
thf(f17268,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_123
| ~ spl2_231 ),
inference(constrained_superposition,[],[f17264,f51]) ).
thf(f17270,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_123
| ~ spl2_231 ),
inference(constrained_superposition,[],[f17264,f4620]) ).
thf(f17276,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_123
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f17270]) ).
thf(f17278,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_123
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f17268]) ).
thf(f17334,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_233
| ~ spl2_238 ),
inference(constrained_superposition,[],[f16046,f11426]) ).
thf(f17340,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_233
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f17334]) ).
thf(f17348,definition,
( spl2_370
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_370])],[avatar_definition]) ).
thf(f17349,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| spl2_370 ),
inference(avatar_component_clause,[],[f17348]) ).
thf(f17351,definition,
( spl2_371
<=> ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_371])],[avatar_definition]) ).
thf(f17352,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_371 ),
inference(avatar_component_clause,[],[f17351]) ).
thf(f17353,plain,
( ~ spl2_370
| spl2_371
| ~ spl2_233
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f17340,f11446,f11425,f17351,f17348]) ).
thf(f17412,plain,
( ! [X0: $i] :
( ( ( sK0 @ X0 )
!= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= X0 ) )
| ~ spl2_305 ),
inference(constrained_superposition,[],[f49,f13469]) ).
thf(f17450,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_305 ),
inference(equality_resolution,[],[f17412]) ).
thf(f17451,plain,
( spl2_251
| ~ spl2_305 ),
inference(avatar_split_clause,[],[f17450,f13468,f11572]) ).
thf(f17456,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_235
| ~ spl2_371 ),
inference(constrained_superposition,[],[f17352,f11433]) ).
thf(f17465,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_235
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f17456]) ).
thf(f17471,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_233
| ~ spl2_235
| ~ spl2_371 ),
inference(constrained_superposition,[],[f17465,f11426]) ).
thf(f17481,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_233
| ~ spl2_235
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f17471]) ).
thf(f17485,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_1
| ~ spl2_233
| ~ spl2_235
| ~ spl2_371 ),
inference(constrained_superposition,[],[f17481,f9240]) ).
thf(f17487,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| ~ spl2_233
| ~ spl2_235
| ~ spl2_371 ),
inference(trivial_inequality_removal,[],[f17485]) ).
thf(f17490,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| ~ spl2_233
| ~ spl2_235
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f17487,f41]) ).
thf(f17496,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_1
| ~ spl2_233
| ~ spl2_235
| spl2_306
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f17490,f16197]) ).
thf(f17498,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_178
| ~ spl2_233
| ~ spl2_235
| spl2_306
| ~ spl2_371 ),
inference(forward_subsumption_resolution,[],[f17496,f8110]) ).
thf(f17500,plain,
( spl2_305
| ~ spl2_1
| spl2_178
| ~ spl2_233
| ~ spl2_235
| spl2_306
| ~ spl2_371 ),
inference(avatar_split_clause,[],[f17498,f17351,f13471,f11432,f11425,f7309,f60,f13468]) ).
thf(f17529,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_361 ),
inference(constrained_superposition,[],[f16269,f78]) ).
thf(f17536,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_361 ),
inference(trivial_inequality_removal,[],[f17529]) ).
thf(f17539,plain,
( $false
| spl2_292
| ~ spl2_361 ),
inference(forward_subsumption_resolution,[],[f17536,f16645]) ).
thf(f17540,plain,
( spl2_292
| ~ spl2_361 ),
inference(avatar_contradiction_clause,[],[f17539]) ).
thf(f17547,plain,
( ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_273 ),
inference(constrained_superposition,[],[f12014,f79]) ).
thf(f17553,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_273 ),
inference(trivial_inequality_removal,[],[f17547]) ).
thf(f17558,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_273 ),
inference(forward_subsumption_resolution,[],[f17553,f41]) ).
thf(f17562,plain,
( $false
| spl2_166
| spl2_273 ),
inference(forward_subsumption_resolution,[],[f17558,f10012]) ).
thf(f17563,plain,
( spl2_166
| spl2_273 ),
inference(avatar_contradiction_clause,[],[f17562]) ).
thf(f17564,plain,
( spl2_129
| ~ spl2_190
| ~ spl2_123
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f16526,f9786,f4619,f8383,f4757]) ).
thf(f17565,plain,
( ~ spl2_190
| ~ spl2_123
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f17276,f11418,f4619,f8383]) ).
thf(f17566,plain,
( spl2_128
| ~ spl2_190
| ~ spl2_123
| ~ spl2_207 ),
inference(avatar_split_clause,[],[f16772,f9768,f4619,f8383,f4750]) ).
thf(f17567,plain,
( spl2_213
| ~ spl2_190
| ~ spl2_122
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f17153,f4619,f4615,f8383,f10014]) ).
thf(f17575,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_1
| spl2_32
| spl2_368 ),
inference(forward_subsumption_resolution,[],[f17248,f612]) ).
thf(f17576,plain,
( spl2_240
| spl2_302 ),
inference(avatar_split_clause,[],[f16230,f13432,f11454]) ).
thf(f17586,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_1
| spl2_32
| spl2_368 ),
inference(forward_subsumption_resolution,[],[f17575,f41]) ).
thf(f17587,plain,
( spl2_240
| spl2_258
| ~ spl2_1
| spl2_32
| spl2_368 ),
inference(avatar_split_clause,[],[f17586,f17213,f611,f60,f11647,f11454]) ).
thf(f17608,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_233
| ~ spl2_282 ),
inference(constrained_superposition,[],[f12689,f11426]) ).
thf(f17616,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_233
| ~ spl2_282 ),
inference(duplicate_literal_removal,[],[f17608]) ).
thf(f17617,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_233
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f17616]) ).
thf(f17621,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl2_233
| ~ spl2_235
| ~ spl2_282 ),
inference(constrained_superposition,[],[f17617,f11433]) ).
thf(f17627,plain,
( ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_233
| ~ spl2_235
| ~ spl2_282 ),
inference(trivial_inequality_removal,[],[f17621]) ).
thf(f17704,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_231
| ~ spl2_238 ),
inference(constrained_superposition,[],[f16038,f11447]) ).
thf(f17712,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_231
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f17704]) ).
thf(f17720,definition,
( spl2_380
<=> ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_380])],[avatar_definition]) ).
thf(f17721,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_380 ),
inference(avatar_component_clause,[],[f17720]) ).
thf(f17726,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_231
| ~ spl2_235
| ~ spl2_238 ),
inference(constrained_superposition,[],[f17712,f11433]) ).
thf(f17732,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_231
| ~ spl2_235
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f17726]) ).
thf(f17738,definition,
( spl2_381
<=> ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl2_381])],[avatar_definition]) ).
thf(f17739,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| spl2_381 ),
inference(avatar_component_clause,[],[f17738]) ).
thf(f17741,definition,
( spl2_382
<=> ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_382])],[avatar_definition]) ).
thf(f17742,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true ) )
| ~ spl2_382 ),
inference(avatar_component_clause,[],[f17741]) ).
thf(f17743,plain,
( ~ spl2_381
| spl2_382
| ~ spl2_231
| ~ spl2_235
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f17732,f11446,f11432,f11418,f17741,f17738]) ).
thf(f17744,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_1
| spl2_381 ),
inference(constrained_superposition,[],[f17739,f10369]) ).
thf(f17745,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_1
| spl2_381 ),
inference(constrained_superposition,[],[f17739,f9240]) ).
thf(f17748,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_1
| spl2_381 ),
inference(trivial_inequality_removal,[],[f17745]) ).
thf(f17749,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_1
| spl2_381 ),
inference(trivial_inequality_removal,[],[f17744]) ).
thf(f17751,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_1
| spl2_306
| spl2_381 ),
inference(forward_subsumption_resolution,[],[f17748,f16197]) ).
thf(f17752,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_1
| spl2_178
| spl2_381 ),
inference(forward_subsumption_resolution,[],[f17749,f8110]) ).
thf(f17753,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_178
| spl2_306
| spl2_381 ),
inference(forward_subsumption_resolution,[],[f17751,f8110]) ).
thf(f17754,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_1
| spl2_178
| spl2_306
| spl2_381 ),
inference(forward_subsumption_resolution,[],[f17752,f16197]) ).
thf(f17755,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_178
| spl2_306
| spl2_381 ),
inference(forward_subsumption_resolution,[],[f17753,f41]) ).
thf(f17756,plain,
( spl2_251
| ~ spl2_1
| spl2_178
| spl2_306
| spl2_381 ),
inference(avatar_split_clause,[],[f17754,f17738,f13471,f7309,f60,f11572]) ).
thf(f17757,plain,
( spl2_305
| ~ spl2_1
| spl2_178
| spl2_306
| spl2_381 ),
inference(avatar_split_clause,[],[f17755,f17738,f13471,f7309,f60,f13468]) ).
thf(f17758,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_235
| ~ spl2_382 ),
inference(constrained_superposition,[],[f17742,f11433]) ).
thf(f17764,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ~ spl2_235
| ~ spl2_382 ),
inference(trivial_inequality_removal,[],[f17758]) ).
thf(f17770,plain,
( $false
| ~ spl2_235
| ~ spl2_238
| ~ spl2_382 ),
inference(forward_subsumption_resolution,[],[f17764,f11447]) ).
thf(f17771,plain,
( ~ spl2_235
| ~ spl2_238
| ~ spl2_382 ),
inference(avatar_contradiction_clause,[],[f17770]) ).
thf(f17774,plain,
( ~ spl2_306
| ~ spl2_233
| ~ spl2_235
| ~ spl2_282 ),
inference(avatar_split_clause,[],[f17627,f12688,f11432,f11425,f13471]) ).
thf(f17792,plain,
( ~ spl2_126
| spl2_187
| ~ spl2_122
| ~ spl2_158 ),
inference(avatar_split_clause,[],[f17202,f5998,f4615,f8265,f4629]) ).
thf(f17832,plain,
( spl2_128
| ~ spl2_166
| ~ spl2_123
| ~ spl2_215 ),
inference(avatar_split_clause,[],[f16544,f10725,f4619,f6208,f4750]) ).
thf(f17840,plain,
( ~ spl2_166
| spl2_129
| ~ spl2_123
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f16448,f9999,f4619,f4757,f6208]) ).
thf(f17867,plain,
( spl2_341
| ~ spl2_166
| ~ spl2_122
| ~ spl2_158 ),
inference(avatar_split_clause,[],[f15588,f5998,f4615,f6208,f14692]) ).
thf(f17869,plain,
( ~ spl2_154
| ~ spl2_122
| ~ spl2_356 ),
inference(avatar_split_clause,[],[f15994,f15782,f4615,f5540]) ).
thf(f17871,plain,
( spl2_144
| ~ spl2_174
| ~ spl2_123
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f17278,f11418,f4619,f6997,f5169]) ).
thf(f17916,plain,
( spl2_55
| spl2_160
| ~ spl2_123 ),
inference(avatar_split_clause,[],[f16002,f4619,f6050,f1339]) ).
thf(f17925,plain,
( ! [X0: $i] :
( ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true ) )
| ~ spl2_55
| ~ spl2_57 ),
inference(constrained_superposition,[],[f1393,f6052]) ).
thf(f17935,plain,
( ! [X0: $i] :
( ( ( r @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_55
| ~ spl2_57 ),
inference(trivial_inequality_removal,[],[f17925]) ).
thf(f17950,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_154
| ~ spl2_209 ),
inference(constrained_superposition,[],[f9787,f9578]) ).
thf(f17952,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_154 ),
inference(constrained_superposition,[],[f17118,f9578]) ).
thf(f17957,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_154
| ~ spl2_209 ),
inference(trivial_inequality_removal,[],[f17950]) ).
thf(f17960,plain,
( ! [X0: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) ) )
| ~ spl2_122
| ~ spl2_123
| ~ spl2_154 ),
inference(trivial_inequality_removal,[],[f17952]) ).
thf(f17976,plain,
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_123
| ~ spl2_138
| ~ spl2_231 ),
inference(constrained_superposition,[],[f17264,f5057]) ).
thf(f17979,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_138 ),
inference(constrained_superposition,[],[f668,f5057]) ).
thf(f17985,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true ) )
| ~ spl2_138 ),
inference(trivial_inequality_removal,[],[f17979]) ).
thf(f17988,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_123
| ~ spl2_138
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f17976]) ).
thf(f17991,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| spl2_134 ),
inference(avatar_component_clause,[],[f4801]) ).
thf(f17997,plain,
( ~ spl2_134
| ~ spl2_123
| ~ spl2_138
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f17988,f11418,f5056,f4619,f4801]) ).
thf(f18001,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_1
| spl2_134 ),
inference(constrained_superposition,[],[f17991,f10369]) ).
thf(f18004,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_1
| spl2_134 ),
inference(trivial_inequality_removal,[],[f18001]) ).
thf(f18012,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_55
| ~ spl2_57 ),
inference(constrained_superposition,[],[f17935,f224]) ).
thf(f18014,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_55
| ~ spl2_57 ),
inference(trivial_inequality_removal,[],[f18012]) ).
thf(f18019,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_55
| ~ spl2_57 ),
inference(forward_subsumption_resolution,[],[f18014,f41]) ).
thf(f18021,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_19
| ~ spl2_55
| ~ spl2_57 ),
inference(forward_subsumption_resolution,[],[f18019,f363]) ).
thf(f18022,plain,
( spl2_166
| spl2_19
| ~ spl2_55
| ~ spl2_57 ),
inference(avatar_split_clause,[],[f18021,f1392,f1339,f362,f6208]) ).
thf(f18035,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_231
| ~ spl2_240 ),
inference(constrained_superposition,[],[f16038,f11455]) ).
thf(f18040,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_231
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f18035]) ).
thf(f18041,plain,
( spl2_380
| ~ spl2_231
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f18040,f11454,f11418,f17720]) ).
thf(f18060,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_1
| spl2_170 ),
inference(constrained_superposition,[],[f8332,f10369]) ).
thf(f18061,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_1
| spl2_170 ),
inference(constrained_superposition,[],[f8332,f9240]) ).
thf(f18063,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_1
| spl2_170 ),
inference(trivial_inequality_removal,[],[f18060]) ).
thf(f18064,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_170 ),
inference(trivial_inequality_removal,[],[f18061]) ).
thf(f18067,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_1
| ~ spl2_14
| spl2_19
| ~ spl2_279
| ~ spl2_330 ),
inference(constrained_superposition,[],[f16608,f12669]) ).
thf(f18077,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) ) )
| ~ spl2_1
| ~ spl2_14
| spl2_19
| ~ spl2_279
| ~ spl2_330 ),
inference(trivial_inequality_removal,[],[f18067]) ).
thf(f18081,definition,
( spl2_410
<=> ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl2_410])],[avatar_definition]) ).
thf(f18082,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_410 ),
inference(avatar_component_clause,[],[f18081]) ).
thf(f18084,plain,
( spl2_277
| spl2_143
| ~ spl2_1
| ~ spl2_14
| spl2_19
| ~ spl2_279
| ~ spl2_330 ),
inference(avatar_split_clause,[],[f18077,f14323,f12668,f362,f311,f60,f5077,f12592]) ).
thf(f18088,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_40
| ~ spl2_330 ),
inference(constrained_superposition,[],[f14324,f2486]) ).
thf(f18090,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_37
| ~ spl2_40 ),
inference(constrained_superposition,[],[f15825,f2486]) ).
thf(f18093,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_37
| ~ spl2_40 ),
inference(trivial_inequality_removal,[],[f18090]) ).
thf(f18096,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_40
| ~ spl2_330 ),
inference(trivial_inequality_removal,[],[f18088]) ).
thf(f18099,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_37
| ~ spl2_40 ),
inference(forward_subsumption_resolution,[],[f18093,f864]) ).
thf(f18101,plain,
( $false
| ~ spl2_40
| ~ spl2_43
| ~ spl2_330 ),
inference(forward_subsumption_resolution,[],[f18096,f818]) ).
thf(f18102,plain,
( ~ spl2_40
| ~ spl2_43
| ~ spl2_330 ),
inference(avatar_contradiction_clause,[],[f18101]) ).
thf(f18104,plain,
( spl2_85
| ~ spl2_37
| ~ spl2_40 ),
inference(avatar_split_clause,[],[f18099,f780,f700,f2591]) ).
thf(f18189,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_255 ),
inference(constrained_superposition,[],[f15440,f12676]) ).
thf(f18192,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_255 ),
inference(trivial_inequality_removal,[],[f18189]) ).
thf(f18196,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_14
| ~ spl2_255
| ~ spl2_279 ),
inference(forward_subsumption_resolution,[],[f18192,f12669]) ).
thf(f18197,plain,
( spl2_277
| ~ spl2_14
| ~ spl2_255
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f18196,f12668,f11611,f311,f12592]) ).
thf(f18200,plain,
( ~ spl2_174
| spl2_5
| ~ spl2_154
| ~ spl2_209 ),
inference(avatar_split_clause,[],[f17957,f9786,f5540,f112,f6997]) ).
thf(f18201,plain,
( spl2_86
| spl2_38
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f15441,f311,f703,f2595]) ).
thf(f18203,plain,
( spl2_32
| spl2_174
| spl2_126
| ~ spl2_1
| spl2_31 ),
inference(avatar_split_clause,[],[f10373,f608,f60,f4629,f6997,f611]) ).
thf(f18205,plain,
( spl2_174
| spl2_126
| ~ spl2_38
| ~ spl2_1
| spl2_31 ),
inference(avatar_split_clause,[],[f10359,f608,f60,f703,f4629,f6997]) ).
thf(f18206,plain,
( ~ spl2_174
| spl2_356
| ~ spl2_122
| ~ spl2_123
| ~ spl2_154 ),
inference(avatar_split_clause,[],[f17960,f5540,f4619,f4615,f15782,f6997]) ).
thf(f18209,plain,
( spl2_21
| spl2_342
| ~ spl2_138 ),
inference(avatar_split_clause,[],[f17985,f5056,f14697,f389]) ).
thf(f18218,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_1
| spl2_134 ),
inference(forward_subsumption_resolution,[],[f18004,f41]) ).
thf(f18219,plain,
( spl2_153
| ~ spl2_21
| ~ spl2_146 ),
inference(avatar_split_clause,[],[f16015,f5204,f389,f5509]) ).
thf(f18225,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_56 ),
inference(forward_subsumption_resolution,[],[f15883,f41]) ).
thf(f18242,plain,
( spl2_174
| spl2_43
| ~ spl2_1
| spl2_134 ),
inference(avatar_split_clause,[],[f18218,f4801,f60,f808,f6997]) ).
thf(f18243,plain,
( spl2_127
| spl2_37
| ~ spl2_1
| spl2_56 ),
inference(avatar_split_clause,[],[f18225,f1342,f60,f700,f4747]) ).
thf(f18247,plain,
( spl2_19
| spl2_102
| spl2_154
| ~ spl2_1
| spl2_170 ),
inference(avatar_split_clause,[],[f18063,f6515,f60,f5540,f3919,f362]) ).
thf(f18249,plain,
( ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_170 ),
inference(forward_subsumption_resolution,[],[f18064,f41]) ).
thf(f18252,plain,
( spl2_19
| spl2_150
| spl2_154
| ~ spl2_1
| spl2_170 ),
inference(avatar_split_clause,[],[f18249,f6515,f60,f5540,f5350,f362]) ).
thf(f18285,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_19 ),
inference(constrained_superposition,[],[f668,f731]) ).
thf(f18289,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_19 ),
inference(trivial_inequality_removal,[],[f18285]) ).
thf(f18290,plain,
( spl2_38
| spl2_48
| ~ spl2_19 ),
inference(avatar_split_clause,[],[f18289,f362,f893,f703]) ).
thf(f18294,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_79 ),
inference(constrained_superposition,[],[f668,f2303]) ).
thf(f18296,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_79 ),
inference(trivial_inequality_removal,[],[f18294]) ).
thf(f18311,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_174 ),
inference(constrained_superposition,[],[f31,f7003]) ).
thf(f18313,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f18311]) ).
thf(f18366,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true != $true ) )
| ~ spl2_153
| ~ spl2_158 ),
inference(constrained_superposition,[],[f15587,f5510]) ).
thf(f18370,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| ~ spl2_153 ),
inference(constrained_superposition,[],[f31,f5510]) ).
thf(f18371,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_153 ),
inference(trivial_inequality_removal,[],[f18370]) ).
thf(f18374,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_153
| ~ spl2_158 ),
inference(trivial_inequality_removal,[],[f18366]) ).
thf(f18376,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_79
| ~ spl2_153
| ~ spl2_158 ),
inference(forward_subsumption_resolution,[],[f18374,f2303]) ).
thf(f18377,plain,
( spl2_42
| ~ spl2_79
| ~ spl2_153
| ~ spl2_158 ),
inference(avatar_split_clause,[],[f18376,f5998,f5509,f2302,f805]) ).
thf(f18400,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_1
| spl2_158 ),
inference(constrained_superposition,[],[f5999,f10369]) ).
thf(f18404,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_1
| spl2_158 ),
inference(trivial_inequality_removal,[],[f18400]) ).
thf(f18444,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_123
| ~ spl2_344 ),
inference(constrained_superposition,[],[f14861,f4620]) ).
thf(f18452,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_123
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f18444]) ).
thf(f18455,plain,
( $false
| ~ spl2_123
| ~ spl2_127
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f18452,f4898]) ).
thf(f18456,plain,
( ~ spl2_123
| ~ spl2_127
| ~ spl2_344 ),
inference(avatar_contradiction_clause,[],[f18455]) ).
thf(f18504,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_130 ),
inference(constrained_superposition,[],[f4786,f50]) ).
thf(f18509,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_130 ),
inference(trivial_inequality_removal,[],[f18504]) ).
thf(f18514,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_127
| ~ spl2_200 ),
inference(constrained_superposition,[],[f9511,f4898]) ).
thf(f18515,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_200 ),
inference(constrained_superposition,[],[f9511,f51]) ).
thf(f18519,plain,
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_200 ),
inference(trivial_inequality_removal,[],[f18515]) ).
thf(f18523,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_127
| ~ spl2_200 ),
inference(trivial_inequality_removal,[],[f18514]) ).
thf(f18525,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| spl2_55
| ~ spl2_200 ),
inference(forward_subsumption_resolution,[],[f18519,f1340]) ).
thf(f18526,plain,
( $false
| ~ spl2_19
| ~ spl2_127
| ~ spl2_200 ),
inference(forward_subsumption_resolution,[],[f18523,f731]) ).
thf(f18527,plain,
( ~ spl2_19
| ~ spl2_127
| ~ spl2_200 ),
inference(avatar_contradiction_clause,[],[f18526]) ).
thf(f18528,plain,
( $false
| ~ spl2_19
| spl2_55
| ~ spl2_200 ),
inference(forward_subsumption_resolution,[],[f18525,f731]) ).
thf(f18529,plain,
( ~ spl2_19
| spl2_55
| ~ spl2_200 ),
inference(avatar_contradiction_clause,[],[f18528]) ).
thf(f18612,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_237 ),
inference(constrained_superposition,[],[f302,f11444]) ).
thf(f18629,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true ) )
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f18612]) ).
thf(f18634,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_237
| spl2_255 ),
inference(forward_subsumption_resolution,[],[f18629,f11612]) ).
thf(f18635,plain,
( spl2_281
| ~ spl2_237
| spl2_255 ),
inference(avatar_split_clause,[],[f18634,f11611,f11443,f12678]) ).
thf(f18646,plain,
( ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_237
| ~ spl2_281 ),
inference(constrained_superposition,[],[f12679,f11444]) ).
thf(f18656,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_237
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f18646]) ).
thf(f18659,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_237
| ~ spl2_281 ),
inference(constrained_superposition,[],[f18656,f79]) ).
thf(f18662,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_237
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f18659]) ).
thf(f18666,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ~ spl2_237
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f18662,f41]) ).
thf(f18671,plain,
( $false
| spl2_170
| ~ spl2_237
| ~ spl2_281 ),
inference(forward_subsumption_resolution,[],[f18666,f8332]) ).
thf(f18672,plain,
( spl2_170
| ~ spl2_237
| ~ spl2_281 ),
inference(avatar_contradiction_clause,[],[f18671]) ).
thf(f18771,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_243 ),
inference(constrained_superposition,[],[f302,f11477]) ).
thf(f18797,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_243 ),
inference(duplicate_literal_removal,[],[f18771]) ).
thf(f18801,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| spl2_60
| ~ spl2_243 ),
inference(forward_subsumption_resolution,[],[f18797,f8334]) ).
thf(f18829,plain,
( spl2_33
| spl2_33
| spl2_60
| ~ spl2_243 ),
inference(avatar_split_clause,[],[f18801,f11476,f1497,f686,f686]) ).
thf(f18839,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_169
| ~ spl2_232 ),
inference(constrained_superposition,[],[f6513,f11422]) ).
thf(f18842,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_169 ),
inference(constrained_superposition,[],[f6513,f50]) ).
thf(f18845,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f18842]) ).
thf(f18848,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_169
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f18839]) ).
thf(f18851,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_169
| spl2_178 ),
inference(forward_subsumption_resolution,[],[f18845,f8110]) ).
thf(f18852,plain,
( ~ spl2_175
| ~ spl2_169
| spl2_178 ),
inference(avatar_split_clause,[],[f18851,f7309,f6512,f7001]) ).
thf(f18858,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_169
| ~ spl2_232 ),
inference(constrained_superposition,[],[f18848,f79]) ).
thf(f18859,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_169
| ~ spl2_232 ),
inference(constrained_superposition,[],[f18848,f52]) ).
thf(f18863,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_169
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f18858]) ).
thf(f18864,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_169
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f18859]) ).
thf(f18868,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_169
| ~ spl2_232 ),
inference(forward_subsumption_resolution,[],[f18863,f41]) ).
thf(f18869,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_169
| ~ spl2_232
| spl2_255 ),
inference(forward_subsumption_resolution,[],[f18864,f11612]) ).
thf(f18871,plain,
( $false
| ~ spl2_169
| ~ spl2_232
| spl2_255 ),
inference(forward_subsumption_resolution,[],[f18868,f11612]) ).
thf(f18872,plain,
( ~ spl2_169
| ~ spl2_232
| spl2_255 ),
inference(avatar_contradiction_clause,[],[f18871]) ).
thf(f18873,plain,
( spl2_143
| ~ spl2_169
| ~ spl2_232
| spl2_255 ),
inference(avatar_split_clause,[],[f18869,f11611,f11421,f6512,f5077]) ).
thf(f19066,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_79
| ~ spl2_86 ),
inference(constrained_superposition,[],[f2596,f2303]) ).
thf(f19073,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_79
| ~ spl2_86 ),
inference(trivial_inequality_removal,[],[f19066]) ).
thf(f19101,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_287 ),
inference(constrained_superposition,[],[f13083,f50]) ).
thf(f19107,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_287 ),
inference(trivial_inequality_removal,[],[f19101]) ).
thf(f19113,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_138
| ~ spl2_342 ),
inference(constrained_superposition,[],[f14698,f5057]) ).
thf(f19119,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_138
| ~ spl2_342 ),
inference(duplicate_literal_removal,[],[f19113]) ).
thf(f19120,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_138
| ~ spl2_342 ),
inference(trivial_inequality_removal,[],[f19119]) ).
thf(f19126,plain,
( spl2_330
| ~ spl2_138
| ~ spl2_342 ),
inference(avatar_split_clause,[],[f19120,f14697,f5056,f14323]) ).
thf(f19244,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_123
| ~ spl2_174 ),
inference(constrained_superposition,[],[f18313,f4620]) ).
thf(f19251,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( b @ sK1 @ X1 )
!= $true ) )
| ~ spl2_123
| ~ spl2_174 ),
inference(trivial_inequality_removal,[],[f19244]) ).
thf(f19293,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_234
| ~ spl2_281 ),
inference(constrained_superposition,[],[f12679,f11429]) ).
thf(f19308,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_234
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f19293]) ).
thf(f19320,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_234
| ~ spl2_281 ),
inference(constrained_superposition,[],[f19308,f224]) ).
thf(f19325,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_234
| ~ spl2_281 ),
inference(trivial_inequality_removal,[],[f19320]) ).
thf(f19329,plain,
( spl2_289
| ~ spl2_234
| ~ spl2_281 ),
inference(avatar_split_clause,[],[f19325,f12678,f11428,f13089]) ).
thf(f19355,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_233
| ~ spl2_410 ),
inference(constrained_superposition,[],[f18082,f11426]) ).
thf(f19360,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_233
| ~ spl2_410 ),
inference(trivial_inequality_removal,[],[f19355]) ).
thf(f19365,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_236 ),
inference(constrained_superposition,[],[f302,f11436]) ).
thf(f19386,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true ) )
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f19365]) ).
thf(f19388,plain,
( spl2_288
| spl2_289
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f19386,f11435,f13089,f13086]) ).
thf(f19389,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_236
| ~ spl2_288 ),
inference(constrained_superposition,[],[f13087,f11436]) ).
thf(f19396,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_236
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f19389]) ).
thf(f19402,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_236
| ~ spl2_288 ),
inference(constrained_superposition,[],[f19396,f79]) ).
thf(f19408,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_236
| ~ spl2_288 ),
inference(trivial_inequality_removal,[],[f19402]) ).
thf(f19413,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_236
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f19408,f41]) ).
thf(f19416,plain,
( $false
| ~ spl2_236
| spl2_255
| ~ spl2_288 ),
inference(forward_subsumption_resolution,[],[f19413,f11612]) ).
thf(f19417,plain,
( ~ spl2_236
| spl2_255
| ~ spl2_288 ),
inference(avatar_contradiction_clause,[],[f19416]) ).
thf(f19418,plain,
( ~ spl2_293
| ~ spl2_233
| ~ spl2_410 ),
inference(avatar_split_clause,[],[f19360,f18081,f11425,f13126]) ).
thf(f19427,plain,
( spl2_293
| ~ spl2_302
| ~ spl2_287 ),
inference(avatar_split_clause,[],[f19107,f13082,f13432,f13126]) ).
thf(f19477,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_370 ),
inference(constrained_superposition,[],[f17349,f9240]) ).
thf(f19479,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_370 ),
inference(trivial_inequality_removal,[],[f19477]) ).
thf(f19492,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_231
| ~ spl2_283 ),
inference(constrained_superposition,[],[f12693,f11419]) ).
thf(f19499,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_231
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f19492]) ).
thf(f19539,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_127
| ~ spl2_332 ),
inference(constrained_superposition,[],[f14349,f4898]) ).
thf(f19540,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true ) )
| ~ spl2_332 ),
inference(constrained_superposition,[],[f14349,f51]) ).
thf(f19545,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_127
| ~ spl2_332 ),
inference(trivial_inequality_removal,[],[f19539]) ).
thf(f19547,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_332 ),
inference(trivial_inequality_removal,[],[f19540]) ).
thf(f19550,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_19
| ~ spl2_127
| ~ spl2_332 ),
inference(forward_subsumption_resolution,[],[f19545,f731]) ).
thf(f19551,plain,
( ! [X0: $i] :
( ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_19
| ~ spl2_332 ),
inference(forward_subsumption_resolution,[],[f19547,f731]) ).
thf(f19552,plain,
( spl2_211
| ~ spl2_19
| ~ spl2_127
| ~ spl2_332 ),
inference(avatar_split_clause,[],[f19550,f14348,f4747,f362,f9955]) ).
thf(f19553,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_19
| spl2_55
| ~ spl2_332 ),
inference(forward_subsumption_resolution,[],[f19551,f1340]) ).
thf(f19554,plain,
( spl2_211
| ~ spl2_19
| spl2_55
| ~ spl2_332 ),
inference(avatar_split_clause,[],[f19553,f14348,f1339,f362,f9955]) ).
thf(f19556,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_241
| ~ spl2_274 ),
inference(constrained_superposition,[],[f12066,f11460]) ).
thf(f19569,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_241
| ~ spl2_274 ),
inference(trivial_inequality_removal,[],[f19556]) ).
thf(f19572,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_241
| ~ spl2_274 ),
inference(forward_subsumption_resolution,[],[f19569,f731]) ).
thf(f19574,plain,
( spl2_5
| ~ spl2_19
| ~ spl2_241
| ~ spl2_274 ),
inference(avatar_split_clause,[],[f19572,f12065,f11459,f362,f112]) ).
thf(f19649,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_247
| ~ spl2_380 ),
inference(constrained_superposition,[],[f17721,f11523]) ).
thf(f19655,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_247
| ~ spl2_380 ),
inference(trivial_inequality_removal,[],[f19649]) ).
thf(f19660,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_153
| ~ spl2_247
| ~ spl2_380 ),
inference(forward_subsumption_resolution,[],[f19655,f5510]) ).
thf(f19661,plain,
( spl2_41
| ~ spl2_153
| ~ spl2_247
| ~ spl2_380 ),
inference(avatar_split_clause,[],[f19660,f17720,f11522,f5509,f783]) ).
thf(f19662,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true ) )
| ~ spl2_153
| ~ spl2_231 ),
inference(constrained_superposition,[],[f18371,f11419]) ).
thf(f19674,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_153
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f19662]) ).
thf(f19682,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_277
| ~ spl2_279 ),
inference(constrained_superposition,[],[f12593,f12669]) ).
thf(f19691,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) ) )
| ~ spl2_277
| ~ spl2_279 ),
inference(duplicate_literal_removal,[],[f19682]) ).
thf(f19692,plain,
( ! [X0: $i] :
( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ~ spl2_277
| ~ spl2_279 ),
inference(trivial_inequality_removal,[],[f19691]) ).
thf(f19696,plain,
( spl2_50
| ~ spl2_277
| ~ spl2_279 ),
inference(avatar_split_clause,[],[f19692,f12668,f12592,f955]) ).
thf(f19704,plain,
( spl2_32
| spl2_178
| spl2_102
| ~ spl2_1
| spl2_158 ),
inference(avatar_split_clause,[],[f18404,f5998,f60,f3919,f7309,f611]) ).
thf(f19714,plain,
( ~ spl2_178
| spl2_185
| ~ spl2_123
| ~ spl2_174 ),
inference(avatar_split_clause,[],[f19251,f6997,f4619,f8112,f7309]) ).
thf(f19721,plain,
( spl2_21
| spl2_88
| ~ spl2_79 ),
inference(avatar_split_clause,[],[f18296,f2302,f2641,f389]) ).
thf(f19724,plain,
( spl2_109
| ~ spl2_43
| ~ spl2_79
| ~ spl2_86 ),
inference(avatar_split_clause,[],[f19073,f2595,f2302,f808,f4145]) ).
thf(f19735,plain,
( spl2_277
| ~ spl2_279
| ~ spl2_153
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f19674,f11418,f5509,f12668,f12592]) ).
thf(f19772,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f30,f2637]) ).
thf(f19773,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_21 ),
inference(constrained_superposition,[],[f56,f2637]) ).
thf(f19776,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ sK1 ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f19772]) ).
thf(f19778,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_21 ),
inference(trivial_inequality_removal,[],[f19773]) ).
thf(f19783,plain,
( spl2_10
| spl2_181
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f19776,f389,f7421,f137]) ).
thf(f19888,plain,
( ( $true != $true )
| ~ spl2_15
| spl2_170 ),
inference(constrained_superposition,[],[f8332,f316]) ).
thf(f19890,plain,
( ( $true != $true )
| ~ spl2_15
| spl2_166 ),
inference(constrained_superposition,[],[f10012,f316]) ).
thf(f19904,plain,
( $false
| ~ spl2_15
| spl2_166 ),
inference(trivial_inequality_removal,[],[f19890]) ).
thf(f19905,plain,
( ~ spl2_15
| spl2_166 ),
inference(avatar_contradiction_clause,[],[f19904]) ).
thf(f19917,plain,
( $false
| ~ spl2_15
| spl2_170 ),
inference(trivial_inequality_removal,[],[f19888]) ).
thf(f19918,plain,
( ~ spl2_15
| spl2_170 ),
inference(avatar_contradiction_clause,[],[f19917]) ).
thf(f19943,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_279 ),
inference(constrained_superposition,[],[f12893,f10369]) ).
thf(f19944,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_1
| spl2_279 ),
inference(constrained_superposition,[],[f12893,f9240]) ).
thf(f19946,plain,
( ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_1
| spl2_279 ),
inference(trivial_inequality_removal,[],[f19944]) ).
thf(f19948,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_279 ),
inference(trivial_inequality_removal,[],[f19943]) ).
thf(f19949,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_1
| spl2_279 ),
inference(forward_subsumption_resolution,[],[f19946,f41]) ).
thf(f19951,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_43
| spl2_279 ),
inference(forward_subsumption_resolution,[],[f19948,f809]) ).
thf(f19952,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_1
| spl2_240
| spl2_279 ),
inference(forward_subsumption_resolution,[],[f19949,f13388]) ).
thf(f19953,plain,
( ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_43
| spl2_240
| spl2_279 ),
inference(forward_subsumption_resolution,[],[f19951,f13388]) ).
thf(f19954,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_1
| spl2_43
| spl2_240
| spl2_279 ),
inference(forward_subsumption_resolution,[],[f19952,f809]) ).
thf(f19955,plain,
( $false
| ~ spl2_1
| spl2_43
| spl2_240
| spl2_279 ),
inference(forward_subsumption_resolution,[],[f19953,f41]) ).
thf(f19956,plain,
( ~ spl2_1
| spl2_43
| spl2_240
| spl2_279 ),
inference(avatar_contradiction_clause,[],[f19955]) ).
thf(f19957,plain,
( spl2_243
| ~ spl2_1
| spl2_43
| spl2_240
| spl2_279 ),
inference(avatar_split_clause,[],[f19954,f12668,f11454,f808,f60,f11476]) ).
thf(f19960,plain,
( spl2_157
| ~ spl2_154
| ~ spl2_231
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f19499,f12692,f11418,f5540,f5613]) ).
thf(f19962,plain,
( spl2_174
| ~ spl2_175
| ~ spl2_130 ),
inference(avatar_split_clause,[],[f18509,f4785,f7001,f6997]) ).
thf(f19963,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ sK1 )
= $true )
| ( $true
= ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_1
| spl2_370 ),
inference(forward_subsumption_resolution,[],[f19479,f41]) ).
thf(f19972,plain,
( spl2_305
| spl2_293
| spl2_154
| ~ spl2_1
| spl2_370 ),
inference(avatar_split_clause,[],[f19963,f17348,f60,f5540,f13126,f13468]) ).
thf(f20019,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f668,f4802]) ).
thf(f20020,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ X1 @ X2 )
!= $true ) )
| ~ spl2_134 ),
inference(constrained_superposition,[],[f31,f4802]) ).
thf(f20021,plain,
( ! [X2: $i,X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( ( b @ X1 @ X2 )
!= $true )
| ( $true
!= ( b @ X2 @ X0 ) ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f20020]) ).
thf(f20022,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ X1 @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_134 ),
inference(trivial_inequality_removal,[],[f20019]) ).
thf(f20048,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_48
| ~ spl2_126 ),
inference(constrained_superposition,[],[f894,f4630]) ).
thf(f20049,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_126
| ~ spl2_198 ),
inference(constrained_superposition,[],[f9435,f4630]) ).
thf(f20050,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_100
| ~ spl2_126 ),
inference(constrained_superposition,[],[f3767,f4630]) ).
thf(f20053,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_100
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f20050]) ).
thf(f20054,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_48
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f20048]) ).
thf(f20058,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_126
| ~ spl2_198 ),
inference(trivial_inequality_removal,[],[f20049]) ).
thf(f20060,plain,
( $false
| ~ spl2_56
| ~ spl2_126
| ~ spl2_198 ),
inference(forward_subsumption_resolution,[],[f20058,f1343]) ).
thf(f20061,plain,
( ~ spl2_56
| ~ spl2_126
| ~ spl2_198 ),
inference(avatar_contradiction_clause,[],[f20060]) ).
thf(f20156,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f302,f4613]) ).
thf(f20157,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_9
| ~ spl2_121 ),
inference(constrained_superposition,[],[f135,f4613]) ).
thf(f20158,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f84,f4613]) ).
thf(f20159,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_1
| ~ spl2_121 ),
inference(constrained_superposition,[],[f61,f4613]) ).
thf(f20161,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_121 ),
inference(constrained_superposition,[],[f30,f4613]) ).
thf(f20166,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_9
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f20157]) ).
thf(f20171,plain,
( ! [X0: $i] :
( ( $true
= ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f20158]) ).
thf(f20172,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f20156]) ).
thf(f20173,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f20161]) ).
thf(f20174,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_1
| ~ spl2_121 ),
inference(trivial_inequality_removal,[],[f20159]) ).
thf(f20178,plain,
( spl2_131
| spl2_140
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f20173,f4612,f5064,f4789]) ).
thf(f20180,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( $true != $true )
| ~ spl2_1
| spl2_255 ),
inference(constrained_superposition,[],[f11612,f10369]) ).
thf(f20181,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ~ spl2_1
| spl2_255 ),
inference(constrained_superposition,[],[f11612,f9240]) ).
thf(f20183,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ sK1 ) )
| ~ spl2_1
| spl2_255 ),
inference(trivial_inequality_removal,[],[f20180]) ).
thf(f20185,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( sK1
= ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_255 ),
inference(trivial_inequality_removal,[],[f20181]) ).
thf(f20191,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_157
| ~ spl2_231 ),
inference(constrained_superposition,[],[f5614,f11419]) ).
thf(f20197,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_157
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f20191]) ).
thf(f20203,plain,
( $false
| ~ spl2_157
| ~ spl2_231
| ~ spl2_240 ),
inference(forward_subsumption_resolution,[],[f20197,f11455]) ).
thf(f20204,plain,
( ~ spl2_157
| ~ spl2_231
| ~ spl2_240 ),
inference(avatar_contradiction_clause,[],[f20203]) ).
thf(f20209,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_238
| ~ spl2_344 ),
inference(constrained_superposition,[],[f14861,f11447]) ).
thf(f20213,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_238
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f20209]) ).
thf(f20221,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ~ spl2_14
| ~ spl2_184 ),
inference(constrained_superposition,[],[f7913,f312]) ).
thf(f20227,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_14
| ~ spl2_184 ),
inference(trivial_inequality_removal,[],[f20221]) ).
thf(f20234,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ~ spl2_14
| ~ spl2_32
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f20227,f724]) ).
thf(f20235,plain,
( $false
| ~ spl2_14
| ~ spl2_19
| ~ spl2_32
| ~ spl2_184 ),
inference(forward_subsumption_resolution,[],[f20234,f731]) ).
thf(f20236,plain,
( ~ spl2_14
| ~ spl2_19
| ~ spl2_32
| ~ spl2_184 ),
inference(avatar_contradiction_clause,[],[f20235]) ).
thf(f20265,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_121
| ~ spl2_169 ),
inference(constrained_superposition,[],[f6513,f4613]) ).
thf(f20274,plain,
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ~ spl2_121
| ~ spl2_169 ),
inference(trivial_inequality_removal,[],[f20265]) ).
thf(f20277,plain,
( ~ spl2_273
| ~ spl2_121
| ~ spl2_169 ),
inference(avatar_split_clause,[],[f20274,f6512,f4612,f12013]) ).
thf(f20288,plain,
( ~ spl2_56
| spl2_187
| ~ spl2_100
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f20053,f4629,f3766,f8265,f1342]) ).
thf(f20293,plain,
( ~ spl2_127
| spl2_129
| ~ spl2_48
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f20054,f4629,f893,f4757,f4747]) ).
thf(f20294,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| ~ spl2_1
| spl2_255 ),
inference(forward_subsumption_resolution,[],[f20185,f41]) ).
thf(f20296,plain,
( ~ spl2_241
| ~ spl2_238
| ~ spl2_344 ),
inference(avatar_split_clause,[],[f20213,f14860,f11446,f11459]) ).
thf(f20297,plain,
( ~ spl2_139
| spl2_137
| spl2_138
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f20171,f4612,f5056,f5053,f5059]) ).
thf(f20299,plain,
( spl2_153
| ~ spl2_139
| ~ spl2_9
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f20166,f4612,f134,f5059,f5509]) ).
thf(f20300,plain,
( spl2_241
| spl2_143
| spl2_19
| ~ spl2_1
| spl2_255 ),
inference(avatar_split_clause,[],[f20183,f11611,f60,f362,f5077,f11459]) ).
thf(f20306,plain,
( spl2_241
| spl2_19
| spl2_258
| ~ spl2_1
| spl2_255 ),
inference(avatar_split_clause,[],[f20294,f11611,f60,f11647,f362,f11459]) ).
thf(f20349,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| spl2_158
| ~ spl2_226 ),
inference(constrained_superposition,[],[f5999,f11854]) ).
thf(f20408,plain,
( $false
| ~ spl2_126
| spl2_158
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f20349,f4630]) ).
thf(f20409,plain,
( ~ spl2_126
| spl2_158
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f20408]) ).
thf(f20435,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| spl2_226 ),
inference(extensionality_resolution,[],[f79,f11371]) ).
thf(f20439,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
= $true )
| spl2_226 ),
inference(extensionality_resolution,[],[f52,f11371]) ).
thf(f20444,plain,
( spl2_234
| spl2_233
| spl2_226 ),
inference(avatar_split_clause,[],[f20435,f11370,f11425,f11428]) ).
thf(f20446,plain,
( spl2_231
| spl2_232
| spl2_226 ),
inference(avatar_split_clause,[],[f20439,f11370,f11421,f11418]) ).
thf(f20461,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_14
| ~ spl2_166 ),
inference(constrained_superposition,[],[f15440,f6209]) ).
thf(f20465,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_14
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f20461]) ).
thf(f20470,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ X1 )
!= $true ) )
| ~ spl2_14
| ~ spl2_134
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f20465,f4802]) ).
thf(f20472,plain,
( spl2_210
| ~ spl2_14
| ~ spl2_134
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f20470,f6208,f4801,f311,f9791]) ).
thf(f20473,plain,
( spl2_170
| spl2_169
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f20172,f4612,f6512,f6515]) ).
thf(f20509,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( $true != $true ) )
| ~ spl2_125 ),
inference(constrained_superposition,[],[f30,f4627]) ).
thf(f20523,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) ) )
| ~ spl2_125 ),
inference(trivial_inequality_removal,[],[f20509]) ).
thf(f20526,plain,
( spl2_33
| spl2_130
| ~ spl2_125 ),
inference(avatar_split_clause,[],[f20523,f4626,f4785,f686]) ).
thf(f20583,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) ) )
| ~ spl2_293 ),
inference(constrained_superposition,[],[f668,f13430]) ).
thf(f20586,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true ) )
| ~ spl2_293 ),
inference(trivial_inequality_removal,[],[f20583]) ).
thf(f20587,plain,
( spl2_303
| spl2_266
| ~ spl2_293 ),
inference(avatar_split_clause,[],[f20586,f13126,f11799,f13460]) ).
thf(f20590,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_124 ),
inference(constrained_superposition,[],[f302,f4623]) ).
thf(f20591,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ~ spl2_9
| ~ spl2_124 ),
inference(constrained_superposition,[],[f135,f4623]) ).
thf(f20592,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_124 ),
inference(constrained_superposition,[],[f84,f4623]) ).
thf(f20593,plain,
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_1
| ~ spl2_124 ),
inference(constrained_superposition,[],[f61,f4623]) ).
thf(f20594,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true ) )
| ~ spl2_124 ),
inference(constrained_superposition,[],[f151,f4623]) ).
thf(f20595,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_124 ),
inference(constrained_superposition,[],[f30,f4623]) ).
thf(f20603,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f20592]) ).
thf(f20604,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f20595]) ).
thf(f20605,plain,
( ( $true
!= ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_9
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f20591]) ).
thf(f20606,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f20594]) ).
thf(f20607,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f20590]) ).
thf(f20608,plain,
( ( $true
!= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_1
| ~ spl2_124 ),
inference(trivial_inequality_removal,[],[f20593]) ).
thf(f20610,plain,
( spl2_140
| spl2_137
| ~ spl2_124 ),
inference(avatar_split_clause,[],[f20604,f4622,f5053,f5064]) ).
thf(f20655,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_232 ),
inference(constrained_superposition,[],[f302,f11422]) ).
thf(f20660,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl2_232 ),
inference(constrained_superposition,[],[f30,f11422]) ).
thf(f20670,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f20660]) ).
thf(f20672,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f20655]) ).
thf(f20676,plain,
( spl2_246
| spl2_245
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f20670,f11421,f11514,f11517]) ).
thf(f20690,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_237 ),
inference(constrained_superposition,[],[f30,f11444]) ).
thf(f20704,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_237 ),
inference(trivial_inequality_removal,[],[f20690]) ).
thf(f20707,plain,
( spl2_245
| spl2_137
| ~ spl2_237 ),
inference(avatar_split_clause,[],[f20704,f11443,f5053,f11514]) ).
thf(f20716,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_140
| ~ spl2_232 ),
inference(constrained_superposition,[],[f5065,f11422]) ).
thf(f20717,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true != $true )
| ~ spl2_140 ),
inference(constrained_superposition,[],[f5065,f78]) ).
thf(f20719,plain,
( ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ~ spl2_140 ),
inference(constrained_superposition,[],[f5065,f50]) ).
thf(f20722,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_140
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f20716]) ).
thf(f20726,plain,
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f20717]) ).
thf(f20727,plain,
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ sK1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_140 ),
inference(trivial_inequality_removal,[],[f20719]) ).
thf(f20729,plain,
( ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_140
| ~ spl2_232 ),
inference(constrained_superposition,[],[f20722,f79]) ).
thf(f20730,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_140
| ~ spl2_232 ),
inference(constrained_superposition,[],[f20722,f52]) ).
thf(f20732,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( sK0 @ sK1 )
= ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_140
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f20729]) ).
thf(f20733,plain,
( ( ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ~ spl2_140
| ~ spl2_232 ),
inference(trivial_inequality_removal,[],[f20730]) ).
thf(f20768,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( $true != $true ) )
| ~ spl2_234 ),
inference(constrained_superposition,[],[f30,f11429]) ).
thf(f20776,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_234 ),
inference(trivial_inequality_removal,[],[f20768]) ).
thf(f20784,plain,
( spl2_361
| spl2_287
| ~ spl2_234 ),
inference(avatar_split_clause,[],[f20776,f11428,f13082,f16268]) ).
thf(f20823,plain,
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ~ spl2_245 ),
inference(constrained_superposition,[],[f11515,f50]) ).
thf(f20827,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_245 ),
inference(trivial_inequality_removal,[],[f20823]) ).
thf(f20845,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
= $true )
| ~ spl2_381 ),
inference(avatar_component_clause,[],[f17738]) ).
thf(f20978,plain,
( spl2_253
| spl2_150
| ~ spl2_140
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f20733,f11421,f5064,f5350,f11604]) ).
thf(f20979,plain,
( spl2_253
| spl2_102
| ~ spl2_140
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f20732,f11421,f5064,f3919,f11604]) ).
thf(f20992,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_253
| ~ spl2_283 ),
inference(constrained_superposition,[],[f12693,f12766]) ).
thf(f20993,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_129
| ~ spl2_253 ),
inference(constrained_superposition,[],[f4758,f12766]) ).
thf(f20996,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true ) )
| ~ spl2_253
| ~ spl2_283 ),
inference(trivial_inequality_removal,[],[f20992]) ).
thf(f20998,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ sK1 )
!= $true )
| ~ spl2_129
| ~ spl2_253 ),
inference(trivial_inequality_removal,[],[f20993]) ).
thf(f21000,plain,
( $false
| ~ spl2_129
| ~ spl2_240
| ~ spl2_253 ),
inference(forward_subsumption_resolution,[],[f20998,f11455]) ).
thf(f21001,plain,
( ~ spl2_129
| ~ spl2_240
| ~ spl2_253 ),
inference(avatar_contradiction_clause,[],[f21000]) ).
thf(f21002,plain,
( spl2_166
| spl2_130
| ~ spl2_124 ),
inference(avatar_split_clause,[],[f20607,f4622,f4785,f6208]) ).
thf(f21003,plain,
( spl2_153
| ~ spl2_152
| ~ spl2_140 ),
inference(avatar_split_clause,[],[f20726,f5064,f5506,f5509]) ).
thf(f21005,plain,
( spl2_240
| ~ spl2_300
| ~ spl2_245 ),
inference(avatar_split_clause,[],[f20827,f11514,f13274,f11454]) ).
thf(f21007,plain,
( spl2_129
| ~ spl2_127
| ~ spl2_253
| ~ spl2_283 ),
inference(avatar_split_clause,[],[f20996,f12692,f11604,f4747,f4757]) ).
thf(f21010,plain,
( spl2_170
| spl2_169
| ~ spl2_232 ),
inference(avatar_split_clause,[],[f20672,f11421,f6512,f6515]) ).
thf(f21011,plain,
( spl2_171
| spl2_55
| ~ spl2_134 ),
inference(avatar_split_clause,[],[f20022,f4801,f1339,f6917]) ).
thf(f21012,plain,
( spl2_57
| ~ spl2_21 ),
inference(avatar_split_clause,[],[f19778,f389,f1392]) ).
thf(f21038,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 )
| ( $true != $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true ) )
| ~ spl2_55 ),
inference(constrained_superposition,[],[f56,f6052]) ).
thf(f21046,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ sK1 @ X1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( sK1 = X0 ) )
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f21038]) ).
thf(f21049,plain,
( spl2_57
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f21046,f1339,f1392]) ).
thf(f21055,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ~ spl2_1
| spl2_14 ),
inference(constrained_superposition,[],[f8339,f9240]) ).
thf(f21057,plain,
( ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_14 ),
inference(trivial_inequality_removal,[],[f21055]) ).
thf(f21068,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true != $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_126 ),
inference(constrained_superposition,[],[f668,f4630]) ).
thf(f21074,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_126 ),
inference(trivial_inequality_removal,[],[f21068]) ).
thf(f21081,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_103
| ~ spl2_166 ),
inference(constrained_superposition,[],[f3923,f6209]) ).
thf(f21082,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_166
| ~ spl2_179 ),
inference(constrained_superposition,[],[f7397,f6209]) ).
thf(f21083,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true ) )
| ~ spl2_166 ),
inference(constrained_superposition,[],[f668,f6209]) ).
thf(f21086,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_166
| ~ spl2_179 ),
inference(trivial_inequality_removal,[],[f21082]) ).
thf(f21087,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( r @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f21083]) ).
thf(f21088,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_103
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f21081]) ).
thf(f21089,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_32
| ~ spl2_166
| ~ spl2_179 ),
inference(forward_subsumption_resolution,[],[f21086,f724]) ).
thf(f21090,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true ) )
| spl2_38
| ~ spl2_166 ),
inference(forward_subsumption_resolution,[],[f21087,f3309]) ).
thf(f21092,plain,
( spl2_53
| ~ spl2_32
| ~ spl2_166
| ~ spl2_179 ),
inference(avatar_split_clause,[],[f21089,f7396,f6208,f611,f1280]) ).
thf(f21146,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( $true != $true )
| ~ spl2_168 ),
inference(constrained_superposition,[],[f6505,f50]) ).
thf(f21151,plain,
( ( ( r @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_168 ),
inference(trivial_inequality_removal,[],[f21146]) ).
thf(f21168,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ~ spl2_166
| ~ spl2_188 ),
inference(constrained_superposition,[],[f8337,f6209]) ).
thf(f21173,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_166
| ~ spl2_188 ),
inference(trivial_inequality_removal,[],[f21168]) ).
thf(f21179,plain,
( $false
| ~ spl2_134
| ~ spl2_166
| ~ spl2_188 ),
inference(forward_subsumption_resolution,[],[f21173,f4802]) ).
thf(f21180,plain,
( ~ spl2_134
| ~ spl2_166
| ~ spl2_188 ),
inference(avatar_contradiction_clause,[],[f21179]) ).
thf(f21182,plain,
( spl2_188
| ~ spl2_79
| ~ spl2_103
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f21088,f6208,f3922,f2302,f8336]) ).
thf(f21183,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( $true != $true )
| ~ spl2_1
| spl2_79 ),
inference(constrained_superposition,[],[f3679,f10369]) ).
thf(f21184,plain,
( ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_1
| spl2_79 ),
inference(constrained_superposition,[],[f3679,f9240]) ).
thf(f21187,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( sK1
= ( sK0 @ ( sK0 @ sK1 ) ) )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_79 ),
inference(trivial_inequality_removal,[],[f21184]) ).
thf(f21188,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ~ spl2_1
| spl2_79 ),
inference(trivial_inequality_removal,[],[f21183]) ).
thf(f21278,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ( $true != $true )
| ~ spl2_238
| ~ spl2_410 ),
inference(constrained_superposition,[],[f18082,f11447]) ).
thf(f21282,plain,
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ sK1 ) )
| ~ spl2_238
| ~ spl2_410 ),
inference(trivial_inequality_removal,[],[f21278]) ).
thf(f21287,plain,
( $false
| ~ spl2_178
| ~ spl2_238
| ~ spl2_410 ),
inference(forward_subsumption_resolution,[],[f21282,f7310]) ).
thf(f21288,plain,
( ~ spl2_178
| ~ spl2_238
| ~ spl2_410 ),
inference(avatar_contradiction_clause,[],[f21287]) ).
thf(f21346,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_233 ),
inference(constrained_superposition,[],[f668,f11426]) ).
thf(f21348,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_233 ),
inference(trivial_inequality_removal,[],[f21346]) ).
thf(f21359,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_126
| ~ spl2_187 ),
inference(constrained_superposition,[],[f8266,f4630]) ).
thf(f21367,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_126
| ~ spl2_187 ),
inference(duplicate_literal_removal,[],[f21359]) ).
thf(f21368,plain,
( ! [X0: $i] :
( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ~ spl2_126
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f21367]) ).
thf(f21376,plain,
( ( $true != $true )
| ~ spl2_126
| ~ spl2_166
| ~ spl2_187 ),
inference(constrained_superposition,[],[f21368,f6209]) ).
thf(f21377,plain,
( ( $true != $true )
| ~ spl2_19
| ~ spl2_126
| ~ spl2_187 ),
inference(constrained_superposition,[],[f21368,f731]) ).
thf(f21381,plain,
( $false
| ~ spl2_19
| ~ spl2_126
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f21377]) ).
thf(f21382,plain,
( ~ spl2_19
| ~ spl2_126
| ~ spl2_187 ),
inference(avatar_contradiction_clause,[],[f21381]) ).
thf(f21390,plain,
( $false
| ~ spl2_126
| ~ spl2_166
| ~ spl2_187 ),
inference(trivial_inequality_removal,[],[f21376]) ).
thf(f21391,plain,
( ~ spl2_126
| ~ spl2_166
| ~ spl2_187 ),
inference(avatar_contradiction_clause,[],[f21390]) ).
thf(f21422,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true ) )
| ~ spl2_166
| ~ spl2_171 ),
inference(constrained_superposition,[],[f6918,f6209]) ).
thf(f21426,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_166
| ~ spl2_171 ),
inference(trivial_inequality_removal,[],[f21422]) ).
thf(f21432,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ sK1 ) ) ) )
| ~ spl2_32
| ~ spl2_166
| ~ spl2_171 ),
inference(forward_subsumption_resolution,[],[f21426,f724]) ).
thf(f21435,plain,
( spl2_188
| ~ spl2_32
| ~ spl2_166
| ~ spl2_171 ),
inference(avatar_split_clause,[],[f21432,f6917,f6208,f611,f8336]) ).
thf(f21439,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| spl2_38
| ~ spl2_166 ),
inference(constrained_superposition,[],[f21090,f6209]) ).
thf(f21448,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| spl2_38
| ~ spl2_166 ),
inference(duplicate_literal_removal,[],[f21439]) ).
thf(f21449,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| spl2_38
| ~ spl2_166 ),
inference(trivial_inequality_removal,[],[f21448]) ).
thf(f21452,plain,
( spl2_211
| spl2_38
| ~ spl2_166 ),
inference(avatar_split_clause,[],[f21449,f6208,f703,f9955]) ).
thf(f21469,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_154
| ~ spl2_212 ),
inference(constrained_superposition,[],[f10000,f9578]) ).
thf(f21470,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_212 ),
inference(constrained_superposition,[],[f10000,f51]) ).
thf(f21474,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true ) )
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f21470]) ).
thf(f21479,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_154
| ~ spl2_212 ),
inference(trivial_inequality_removal,[],[f21469]) ).
thf(f21480,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| spl2_144
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f21474,f7192]) ).
thf(f21481,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_19
| ~ spl2_154
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f21479,f731]) ).
thf(f21482,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true ) )
| ~ spl2_19
| spl2_144
| ~ spl2_212 ),
inference(forward_subsumption_resolution,[],[f21480,f731]) ).
thf(f21483,plain,
( spl2_5
| ~ spl2_19
| ~ spl2_154
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f21481,f9999,f5540,f362,f112]) ).
thf(f21484,plain,
( spl2_5
| ~ spl2_19
| spl2_144
| ~ spl2_212 ),
inference(avatar_split_clause,[],[f21482,f9999,f5169,f362,f112]) ).
thf(f21505,plain,
( spl2_239
| spl2_282
| ~ spl2_233 ),
inference(avatar_split_clause,[],[f21348,f11425,f12688,f11450]) ).
thf(f21527,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( $true != $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_285 ),
inference(constrained_superposition,[],[f12774,f78]) ).
thf(f21535,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
= $true )
| ( ( r @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_285 ),
inference(trivial_inequality_removal,[],[f21527]) ).
thf(f21541,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_233
| ~ spl2_303 ),
inference(constrained_superposition,[],[f13461,f11426]) ).
thf(f21553,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_233
| ~ spl2_303 ),
inference(trivial_inequality_removal,[],[f21541]) ).
thf(f21596,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ X1 @ X0 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_134
| ~ spl2_253 ),
inference(constrained_superposition,[],[f20021,f12766]) ).
thf(f21603,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ sK1 ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 ) )
| ( $true
!= ( b @ ( sK0 @ sK1 ) @ X0 ) )
| ( $true
!= ( b @ X1 @ X0 ) ) )
| ~ spl2_134
| ~ spl2_253 ),
inference(trivial_inequality_removal,[],[f21596]) ).
thf(f21612,plain,
( spl2_410
| ~ spl2_241
| ~ spl2_233
| ~ spl2_303 ),
inference(avatar_split_clause,[],[f21553,f13460,f11425,f11459,f18081]) ).
thf(f21614,plain,
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ( ( sK0 @ ( sK0 @ sK1 ) )
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_79 ),
inference(forward_subsumption_resolution,[],[f21187,f41]) ).
thf(f21615,plain,
( spl2_277
| ~ spl2_279
| ~ spl2_134
| ~ spl2_253 ),
inference(avatar_split_clause,[],[f21603,f11604,f4801,f12668,f12592]) ).
thf(f21618,plain,
( ~ spl2_3
| spl2_19
| ~ spl2_168 ),
inference(avatar_split_clause,[],[f21151,f6504,f362,f92]) ).
thf(f21623,plain,
( ~ spl2_21
| spl2_279
| ~ spl2_285 ),
inference(avatar_split_clause,[],[f21535,f12773,f12668,f389]) ).
thf(f21628,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_1
| spl2_79 ),
inference(forward_subsumption_resolution,[],[f21188,f41]) ).
thf(f21630,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( sK1
= ( sK0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_14 ),
inference(forward_subsumption_resolution,[],[f21057,f49]) ).
thf(f21633,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
= $true )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ sK1 ) ) )
= $true )
| ~ spl2_1
| spl2_31
| spl2_79 ),
inference(forward_subsumption_resolution,[],[f21614,f4541]) ).
thf(f21634,plain,
( spl2_32
| spl2_37
| ~ spl2_1
| spl2_79 ),
inference(avatar_split_clause,[],[f21628,f2302,f60,f700,f611]) ).
thf(f21635,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
= $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ sK1 )
= $true )
| ~ spl2_1
| spl2_14 ),
inference(forward_subsumption_resolution,[],[f21630,f41]) ).
thf(f21636,plain,
( spl2_37
| spl2_32
| ~ spl2_1
| spl2_31
| spl2_79 ),
inference(avatar_split_clause,[],[f21633,f2302,f608,f60,f611,f700]) ).
thf(f21637,plain,
( spl2_19
| spl2_43
| ~ spl2_1
| spl2_14 ),
inference(avatar_split_clause,[],[f21635,f311,f60,f808,f362]) ).
thf(f21654,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_38 ),
inference(constrained_superposition,[],[f30,f704]) ).
thf(f21660,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X1 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_38 ),
inference(trivial_inequality_removal,[],[f21654]) ).
thf(f21664,plain,
( spl2_34
| spl2_33
| ~ spl2_38 ),
inference(avatar_split_clause,[],[f21660,f703,f686,f689]) ).
thf(f21791,plain,
( ! [X0: $i,X1: $i] :
( ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( $true != $true ) )
| ~ spl2_231 ),
inference(constrained_superposition,[],[f668,f11419]) ).
thf(f21794,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
!= $true )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true )
| ( ( b @ X1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_231 ),
inference(trivial_inequality_removal,[],[f21791]) ).
thf(f21798,plain,
( ! [X0: $i] :
( ( $true != $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_203
| ~ spl2_238 ),
inference(constrained_superposition,[],[f9585,f11447]) ).
thf(f21802,plain,
( ! [X0: $i] :
( ( ( b @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) ) )
| ~ spl2_203
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f21798]) ).
thf(f21816,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( $true != $true ) )
| ~ spl2_238
| ~ spl2_367 ),
inference(constrained_superposition,[],[f17211,f11447]) ).
thf(f21824,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_238
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f21816]) ).
thf(f21827,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true != $true )
| ~ spl2_231
| ~ spl2_238
| ~ spl2_367 ),
inference(constrained_superposition,[],[f21824,f11419]) ).
thf(f21833,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ~ spl2_231
| ~ spl2_238
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f21827]) ).
thf(f21839,plain,
( $false
| ~ spl2_231
| ~ spl2_238
| ~ spl2_255
| ~ spl2_367 ),
inference(forward_subsumption_resolution,[],[f21833,f12676]) ).
thf(f21840,plain,
( ~ spl2_231
| ~ spl2_238
| ~ spl2_255
| ~ spl2_367 ),
inference(avatar_contradiction_clause,[],[f21839]) ).
thf(f21863,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true != $true ) )
| ~ spl2_212
| ~ spl2_238 ),
inference(constrained_superposition,[],[f10000,f11447]) ).
thf(f21873,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) )
| ( $true
!= ( b @ X0 @ sK1 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
!= $true ) )
| ~ spl2_212
| ~ spl2_238 ),
inference(trivial_inequality_removal,[],[f21863]) ).
thf(f21874,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ X0 @ sK1 ) )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 ) ) )
| ~ spl2_212
| ~ spl2_238
| ~ spl2_255 ),
inference(forward_subsumption_resolution,[],[f21873,f12676]) ).
thf(f21875,plain,
( spl2_410
| ~ spl2_212
| ~ spl2_238
| ~ spl2_255 ),
inference(avatar_split_clause,[],[f21874,f11611,f11446,f9999,f18081]) ).
thf(f21876,plain,
( spl2_174
| ~ spl2_144
| ~ spl2_1
| ~ spl2_124 ),
inference(avatar_split_clause,[],[f20608,f4622,f60,f5169,f6997]) ).
thf(f21877,plain,
( spl2_178
| ~ spl2_177
| ~ spl2_140 ),
inference(avatar_split_clause,[],[f20727,f5064,f7306,f7309]) ).
thf(f21882,plain,
( spl2_144
| spl2_348
| ~ spl2_231 ),
inference(avatar_split_clause,[],[f21794,f11418,f15103,f5169]) ).
thf(f21884,plain,
( ~ spl2_144
| spl2_127
| spl2_131
| ~ spl2_124 ),
inference(avatar_split_clause,[],[f20606,f4622,f4789,f4747,f5169]) ).
thf(f21885,plain,
( spl2_134
| ~ spl2_165
| ~ spl2_9
| ~ spl2_124 ),
inference(avatar_split_clause,[],[f20605,f4622,f134,f6204,f4801]) ).
thf(f21886,plain,
( spl2_410
| ~ spl2_241
| ~ spl2_203
| ~ spl2_238 ),
inference(avatar_split_clause,[],[f21802,f11446,f9584,f11459,f18081]) ).
thf(f21887,plain,
( spl2_55
| spl2_161
| ~ spl2_126 ),
inference(avatar_split_clause,[],[f21074,f4629,f6055,f1339]) ).
thf(f21888,plain,
( ~ spl2_165
| spl2_131
| spl2_56
| ~ spl2_124 ),
inference(avatar_split_clause,[],[f20603,f4622,f1342,f4789,f6204]) ).
thf(f21889,plain,
( ~ spl2_55
| spl2_178
| ~ spl2_1
| ~ spl2_121 ),
inference(avatar_split_clause,[],[f20174,f4612,f60,f7309,f1339]) ).
thf(f21913,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_144 ),
inference(constrained_superposition,[],[f30,f5170]) ).
thf(f21914,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( $true
= ( b @ X0 @ sK1 ) )
| ( ( r @ X0 @ X1 )
!= $true )
| ( sK1 = X0 ) )
| ~ spl2_144 ),
inference(constrained_superposition,[],[f56,f5170]) ).
thf(f21918,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f21913]) ).
thf(f21923,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ X0 @ X1 )
!= $true )
| ( $true
!= ( r @ sK1 @ X1 ) )
| ( sK1 = X0 )
| ( $true
= ( b @ X0 @ sK1 ) ) )
| ~ spl2_144 ),
inference(trivial_inequality_removal,[],[f21914]) ).
thf(f21925,plain,
( spl2_137
| spl2_146
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f21918,f5169,f5204,f5053]) ).
thf(f21926,plain,
( spl2_57
| ~ spl2_144 ),
inference(avatar_split_clause,[],[f21923,f5169,f1392]) ).
thf(f22030,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_127
| ~ spl2_337 ),
inference(constrained_superposition,[],[f14456,f4898]) ).
thf(f22035,plain,
( ( ( b @ ( sK0 @ sK1 ) @ sK1 )
!= $true )
| ~ spl2_127
| ~ spl2_337 ),
inference(trivial_inequality_removal,[],[f22030]) ).
thf(f22041,plain,
( $false
| ~ spl2_37
| ~ spl2_127
| ~ spl2_337 ),
inference(forward_subsumption_resolution,[],[f22035,f864]) ).
thf(f22042,plain,
( ~ spl2_37
| ~ spl2_127
| ~ spl2_337 ),
inference(avatar_contradiction_clause,[],[f22041]) ).
thf(f22075,plain,
( ! [X0: $i,X1: $i] :
( ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_236 ),
inference(constrained_superposition,[],[f30,f11436]) ).
thf(f22084,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true ) )
| ~ spl2_236 ),
inference(trivial_inequality_removal,[],[f22075]) ).
thf(f22089,plain,
( spl2_246
| spl2_287
| ~ spl2_236 ),
inference(avatar_split_clause,[],[f22084,f11435,f13082,f11517]) ).
thf(f22122,plain,
( ! [X0: $i] :
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true )
| ( $true != $true )
| ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) ) )
| ~ spl2_238
| ~ spl2_367 ),
inference(constrained_superposition,[],[f17211,f11447]) ).
thf(f22127,plain,
( ! [X0: $i] :
( ( $true
!= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 ) )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ X0 )
!= $true ) )
| ~ spl2_238
| ~ spl2_367 ),
inference(trivial_inequality_removal,[],[f22122]) ).
thf(f22133,plain,
( ( $true != $true )
| ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_238
| ~ spl2_367
| ~ spl2_381 ),
inference(constrained_superposition,[],[f22127,f20845]) ).
thf(f22140,plain,
( ( ( b @ ( sK0 @ ( sK0 @ sK1 ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
!= $true )
| ~ spl2_238
| ~ spl2_367
| ~ spl2_381 ),
inference(trivial_inequality_removal,[],[f22133]) ).
thf(f22147,plain,
( $false
| ~ spl2_238
| ~ spl2_289
| ~ spl2_367
| ~ spl2_381 ),
inference(forward_subsumption_resolution,[],[f22140,f13090]) ).
thf(f22148,plain,
( ~ spl2_238
| ~ spl2_289
| ~ spl2_367
| ~ spl2_381 ),
inference(avatar_contradiction_clause,[],[f22147]) ).
thf(f22151,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ~ spl2_231
| ~ spl2_251 ),
inference(constrained_superposition,[],[f11419,f11573]) ).
thf(f22223,plain,
( spl2_122
| ~ spl2_231
| ~ spl2_251 ),
inference(avatar_split_clause,[],[f22151,f11572,f11418,f4615]) ).
thf(f22229,plain,
( ( ( b @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
= $true )
| ~ spl2_138
| ~ spl2_226 ),
inference(constrained_superposition,[],[f5057,f11854]) ).
thf(f22230,plain,
( ! [X0: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_140
| ~ spl2_226 ),
inference(constrained_superposition,[],[f5065,f11854]) ).
thf(f22233,plain,
( ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ sK1 ) ) )
| ~ spl2_153
| ~ spl2_226 ),
inference(constrained_superposition,[],[f5510,f11854]) ).
thf(f22235,plain,
( ( ( r @ ( sK0 @ sK1 ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) )
!= $true )
| spl2_165
| ~ spl2_226 ),
inference(constrained_superposition,[],[f6205,f11854]) ).
thf(f22292,plain,
( ! [X0: $i] :
( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ~ spl2_140
| ~ spl2_226 ),
inference(duplicate_literal_removal,[],[f22230]) ).
thf(f22296,plain,
( ~ spl2_139
| spl2_165
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f22235,f11370,f6204,f5059]) ).
thf(f22301,plain,
( $false
| spl2_134
| ~ spl2_153
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f22233,f17991]) ).
thf(f22302,plain,
( spl2_134
| ~ spl2_153
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f22301]) ).
thf(f22305,plain,
( spl2_131
| ~ spl2_140
| ~ spl2_226 ),
inference(avatar_split_clause,[],[f22292,f11370,f5064,f4789]) ).
thf(f22315,plain,
( $false
| spl2_56
| ~ spl2_138
| ~ spl2_226 ),
inference(forward_subsumption_resolution,[],[f22229,f13712]) ).
thf(f22316,plain,
( spl2_56
| ~ spl2_138
| ~ spl2_226 ),
inference(avatar_contradiction_clause,[],[f22315]) ).
thf(f22333,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true != $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_55 ),
inference(constrained_superposition,[],[f30,f6052]) ).
thf(f22338,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ sK1 @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true ) )
| ~ spl2_55 ),
inference(trivial_inequality_removal,[],[f22333]) ).
thf(f22344,plain,
( spl2_131
| spl2_162
| ~ spl2_55 ),
inference(avatar_split_clause,[],[f22338,f1339,f6075,f4789]) ).
thf(f22358,plain,
( ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| spl2_226 ),
inference(extensionality_resolution,[],[f79,f11371]) ).
thf(f22360,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X0 )
!= $true )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) ) )
| spl2_226 ),
inference(extensionality_resolution,[],[f56,f11371]) ).
thf(f22361,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ X1 ) )
| ( $true
= ( b @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X0 )
!= $true )
| ( $true
!= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) @ X1 ) ) )
| spl2_226 ),
inference(extensionality_resolution,[],[f56,f11371]) ).
thf(f22362,plain,
( ( ( b @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) )
= $true )
| ( $true
= ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) )
| spl2_226 ),
inference(extensionality_resolution,[],[f52,f11371]) ).
thf(f22366,plain,
( spl2_236
| spl2_235
| spl2_226 ),
inference(avatar_split_clause,[],[f22358,f11370,f11432,f11435]) ).
thf(f22367,plain,
( spl2_140
| spl2_137
| spl2_123
| spl2_226 ),
inference(avatar_split_clause,[],[f22361,f11370,f4619,f5053,f5064]) ).
thf(f22369,plain,
( spl2_140
| spl2_131
| spl2_122
| spl2_226 ),
inference(avatar_split_clause,[],[f22360,f11370,f4615,f4789,f5064]) ).
thf(f22371,plain,
( spl2_238
| spl2_237
| spl2_226 ),
inference(avatar_split_clause,[],[f22362,f11370,f11443,f11446]) ).
thf(f22379,plain,
( ! [X0: $i,X1: $i] :
( ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true != $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( ( b @ X0 @ X1 )
!= $true ) )
| ~ spl2_240 ),
inference(constrained_superposition,[],[f668,f11455]) ).
thf(f22382,plain,
( ! [X0: $i,X1: $i] :
( ( $true
!= ( b @ X1 @ sK1 ) )
| ( ( b @ sK1 @ X0 )
!= $true )
| ( $true
= ( r @ sK1 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) )
| ( ( b @ X0 @ X1 )
!= $true )
| ( $true
!= ( b @ X0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) ) ) )
| ~ spl2_240 ),
inference(trivial_inequality_removal,[],[f22379]) ).
thf(f22383,plain,
( spl2_239
| spl2_283
| ~ spl2_240 ),
inference(avatar_split_clause,[],[f22382,f11454,f12692,f11450]) ).
thf(f22387,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true )
| ( $true != $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true ) )
| ~ spl2_239 ),
inference(constrained_superposition,[],[f30,f12686]) ).
thf(f22396,plain,
( ! [X0: $i,X1: $i] :
( ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X1 )
!= $true )
| ( ( r @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ ( sK0 @ sK1 ) ) ) ) ) @ X0 )
!= $true )
| ( ( r @ sK1 @ X0 )
!= $true ) )
| ~ spl2_239 ),
inference(trivial_inequality_removal,[],[f22387]) ).
thf(f22398,plain,
( spl2_246
| spl2_285
| ~ spl2_239 ),
inference(avatar_split_clause,[],[f22396,f11450,f12773,f11517]) ).
thf(f22486,plain,
( ( $true != $true )
| ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_138
| ~ spl2_344 ),
inference(constrained_superposition,[],[f14861,f5057]) ).
thf(f22493,plain,
( ( ( b @ sK1 @ ( sK0 @ sK1 ) )
!= $true )
| ~ spl2_138
| ~ spl2_344 ),
inference(trivial_inequality_removal,[],[f22486]) ).
thf(f22496,plain,
( $false
| ~ spl2_43
| ~ spl2_138
| ~ spl2_344 ),
inference(forward_subsumption_resolution,[],[f22493,f818]) ).
thf(f22497,plain,
( ~ spl2_43
| ~ spl2_138
| ~ spl2_344 ),
inference(avatar_contradiction_clause,[],[f22496]) ).
cnf(s6,plain,
( spl2_9
| spl2_10 ),
inference(sat_conversion,[],[f139]) ).
cnf(s7,plain,
( spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f169]) ).
cnf(s13,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f369]) ).
cnf(s21,plain,
( ~ spl2_17
| spl2_19 ),
inference(sat_conversion,[],[f651]) ).
cnf(s26,plain,
( spl2_32
| spl2_38 ),
inference(sat_conversion,[],[f709]) ).
cnf(s28,plain,
( spl2_32
| spl2_33
| spl2_39 ),
inference(sat_conversion,[],[f728]) ).
cnf(s31,plain,
( ~ spl2_10
| spl2_37 ),
inference(sat_conversion,[],[f742]) ).
cnf(s37,plain,
( ~ spl2_2
| spl2_35 ),
inference(sat_conversion,[],[f817]) ).
cnf(s38,plain,
( spl2_10
| spl2_43
| spl2_45 ),
inference(sat_conversion,[],[f822]) ).
cnf(s41,plain,
( ~ spl2_10
| spl2_11 ),
inference(sat_conversion,[],[f840]) ).
cnf(s42,plain,
( spl2_21
| spl2_43 ),
inference(sat_conversion,[],[f844]) ).
cnf(s49,plain,
( spl2_15
| ~ spl2_33 ),
inference(sat_conversion,[],[f992]) ).
cnf(s50,plain,
( spl2_14
| ~ spl2_33 ),
inference(sat_conversion,[],[f993]) ).
cnf(s51,plain,
( spl2_17
| ~ spl2_33 ),
inference(sat_conversion,[],[f994]) ).
cnf(s61,plain,
( ~ spl2_14
| ~ spl2_32
| ~ spl2_37
| ~ spl2_43 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s62,plain,
( ~ spl2_15
| ~ spl2_19
| spl2_20
| ~ spl2_32
| ~ spl2_35 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s64,plain,
( ~ spl2_15
| ~ spl2_20
| ~ spl2_22
| ~ spl2_32
| ~ spl2_35
| ~ spl2_43 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s68,plain,
( ~ spl2_32
| ~ spl2_38
| spl2_42
| ~ spl2_43
| ~ spl2_45 ),
inference(sat_conversion,[],[f1197]) ).
cnf(s69,plain,
( ~ spl2_19
| spl2_41
| ~ spl2_42 ),
inference(sat_conversion,[],[f1204]) ).
cnf(s70,plain,
( ~ spl2_19
| ~ spl2_38
| ~ spl2_41
| ~ spl2_45 ),
inference(sat_conversion,[],[f1210]) ).
cnf(s119,plain,
( spl2_13
| spl2_33
| spl2_79 ),
inference(sat_conversion,[],[f2304]) ).
cnf(s136,plain,
( ~ spl2_2
| ~ spl2_38 ),
inference(sat_conversion,[],[f2416]) ).
cnf(s154,plain,
( ~ spl2_32
| spl2_42
| ~ spl2_43
| ~ spl2_79 ),
inference(sat_conversion,[],[f2577]) ).
cnf(s156,plain,
( ~ spl2_19
| ~ spl2_41
| ~ spl2_79 ),
inference(sat_conversion,[],[f2587]) ).
cnf(s160,plain,
( ~ spl2_14
| ~ spl2_19
| ~ spl2_37
| spl2_85 ),
inference(sat_conversion,[],[f2598]) ).
cnf(s162,plain,
( ~ spl2_37
| ~ spl2_43
| spl2_82 ),
inference(sat_conversion,[],[f2611]) ).
cnf(s163,plain,
( ~ spl2_35
| ~ spl2_37
| ~ spl2_43
| spl2_83 ),
inference(sat_conversion,[],[f2612]) ).
cnf(s167,plain,
( spl2_21
| ~ spl2_37
| spl2_82 ),
inference(sat_conversion,[],[f2639]) ).
cnf(s171,plain,
( spl2_3
| spl2_37 ),
inference(sat_conversion,[],[f2664]) ).
cnf(s187,plain,
( ~ spl2_50
| ~ spl2_79 ),
inference(sat_conversion,[],[f2797]) ).
cnf(s189,plain,
( ~ spl2_38
| ~ spl2_45
| ~ spl2_50 ),
inference(sat_conversion,[],[f2826]) ).
cnf(s254,plain,
( ~ spl2_37
| spl2_62
| ~ spl2_85 ),
inference(sat_conversion,[],[f3466]) ).
cnf(s255,plain,
( ~ spl2_32
| ~ spl2_62 ),
inference(sat_conversion,[],[f3475]) ).
cnf(s256,plain,
( ~ spl2_43
| ~ spl2_62 ),
inference(sat_conversion,[],[f3478]) ).
cnf(s344,plain,
( ~ spl2_2
| ~ spl2_21 ),
inference(sat_conversion,[],[f4713]) ).
cnf(s357,plain,
( spl2_31
| spl2_59
| spl2_79 ),
inference(sat_conversion,[],[f4819]) ).
cnf(s358,plain,
( ~ spl2_125
| ~ spl2_131 ),
inference(sat_conversion,[],[f4827]) ).
cnf(s360,plain,
( ~ spl2_131
| spl2_134 ),
inference(sat_conversion,[],[f4835]) ).
cnf(s362,plain,
( ~ spl2_60
| spl2_118 ),
inference(sat_conversion,[],[f4885]) ).
cnf(s391,plain,
( spl2_10
| spl2_10
| spl2_40
| ~ spl2_143 ),
inference(sat_conversion,[],[f5144]) ).
cnf(s392,plain,
( spl2_10
| spl2_40
| ~ spl2_143 ),
inference(rat,[],[s391]) ).
cnf(s395,plain,
( spl2_56
| spl2_139 ),
inference(sat_conversion,[],[f5154]) ).
cnf(s398,plain,
( ~ spl2_137
| spl2_142 ),
inference(sat_conversion,[],[f5186]) ).
cnf(s413,plain,
( ~ spl2_39
| spl2_60
| ~ spl2_144
| ~ spl2_150 ),
inference(sat_conversion,[],[f5391]) ).
cnf(s415,plain,
( spl2_33
| spl2_33
| spl2_60
| ~ spl2_150 ),
inference(sat_conversion,[],[f5393]) ).
cnf(s416,plain,
( spl2_33
| spl2_60
| ~ spl2_150 ),
inference(rat,[],[s415]) ).
cnf(s417,plain,
( spl2_38
| ~ spl2_144
| ~ spl2_150 ),
inference(sat_conversion,[],[f5395]) ).
cnf(s419,plain,
( ~ spl2_50
| ~ spl2_138 ),
inference(sat_conversion,[],[f5409]) ).
cnf(s426,plain,
( spl2_14
| spl2_31
| spl2_151 ),
inference(sat_conversion,[],[f5465]) ).
cnf(s430,plain,
( spl2_134
| spl2_152 ),
inference(sat_conversion,[],[f5527]) ).
cnf(s437,plain,
( ~ spl2_35
| spl2_154 ),
inference(sat_conversion,[],[f5562]) ).
cnf(s439,plain,
( ~ spl2_137
| spl2_153 ),
inference(sat_conversion,[],[f5573]) ).
cnf(s449,plain,
( ~ spl2_13
| spl2_15
| ~ spl2_50 ),
inference(sat_conversion,[],[f5669]) ).
cnf(s459,plain,
( ~ spl2_19
| ~ spl2_126
| ~ spl2_129 ),
inference(sat_conversion,[],[f5716]) ).
cnf(s481,plain,
( ~ spl2_32
| ~ spl2_56
| ~ spl2_83
| ~ spl2_126 ),
inference(sat_conversion,[],[f5902]) ).
cnf(s495,plain,
( ~ spl2_45
| ~ spl2_55
| spl2_56 ),
inference(sat_conversion,[],[f6078]) ).
cnf(s496,plain,
( ~ spl2_122
| ~ spl2_126
| ~ spl2_159 ),
inference(sat_conversion,[],[f6088]) ).
cnf(s501,plain,
( ~ spl2_34
| spl2_39 ),
inference(sat_conversion,[],[f6170]) ).
cnf(s502,plain,
( ~ spl2_2
| ~ spl2_55 ),
inference(sat_conversion,[],[f6174]) ).
cnf(s504,plain,
( ~ spl2_12
| spl2_102
| ~ spl2_124
| spl2_134
| spl2_138
| spl2_143 ),
inference(sat_conversion,[],[f6202]) ).
cnf(s511,plain,
( ~ spl2_39
| ~ spl2_55
| spl2_166 ),
inference(sat_conversion,[],[f6257]) ).
cnf(s517,plain,
( ~ spl2_123
| ~ spl2_128
| ~ spl2_153 ),
inference(sat_conversion,[],[f6352]) ).
cnf(s524,plain,
( ~ spl2_82
| ~ spl2_153
| ~ spl2_154
| spl2_157 ),
inference(sat_conversion,[],[f6409]) ).
cnf(s526,plain,
( ~ spl2_121
| spl2_131
| spl2_140 ),
inference(sat_conversion,[],[f6472]) ).
cnf(s531,plain,
( ~ spl2_121
| ~ spl2_137 ),
inference(sat_conversion,[],[f6498]) ).
cnf(s535,plain,
( spl2_10
| spl2_14
| spl2_31
| spl2_168 ),
inference(sat_conversion,[],[f6506]) ).
cnf(s542,plain,
( spl2_33
| spl2_33
| spl2_60
| ~ spl2_102 ),
inference(sat_conversion,[],[f6571]) ).
cnf(s543,plain,
( spl2_33
| spl2_60
| ~ spl2_102 ),
inference(rat,[],[s542]) ).
cnf(s550,plain,
( spl2_8
| spl2_40
| ~ spl2_102 ),
inference(sat_conversion,[],[f6582]) ).
cnf(s551,plain,
( ~ spl2_8
| ~ spl2_10 ),
inference(sat_conversion,[],[f6584]) ).
cnf(s568,plain,
( ~ spl2_79
| spl2_100 ),
inference(sat_conversion,[],[f6700]) ).
cnf(s590,plain,
( ~ spl2_11
| ~ spl2_83
| ~ spl2_123
| ~ spl2_154 ),
inference(sat_conversion,[],[f6890]) ).
cnf(s591,plain,
( ~ spl2_11
| ~ spl2_43
| ~ spl2_83
| ~ spl2_134 ),
inference(sat_conversion,[],[f6892]) ).
cnf(s593,plain,
( ~ spl2_37
| ~ spl2_129
| ~ spl2_134 ),
inference(sat_conversion,[],[f6914]) ).
cnf(s594,plain,
( ~ spl2_82
| ~ spl2_127
| spl2_129
| ~ spl2_134 ),
inference(sat_conversion,[],[f6915]) ).
cnf(s596,plain,
( spl2_55
| spl2_127 ),
inference(sat_conversion,[],[f6924]) ).
cnf(s605,plain,
( ~ spl2_53
| ~ spl2_166
| ~ spl2_174 ),
inference(sat_conversion,[],[f7005]) ).
cnf(s608,plain,
( spl2_19
| spl2_175 ),
inference(sat_conversion,[],[f7016]) ).
cnf(s610,plain,
( spl2_144
| spl2_154 ),
inference(sat_conversion,[],[f7027]) ).
cnf(s611,plain,
( ~ spl2_39
| ~ spl2_144
| spl2_170 ),
inference(sat_conversion,[],[f7041]) ).
cnf(s614,plain,
( spl2_138
| spl2_165 ),
inference(sat_conversion,[],[f7078]) ).
cnf(s619,plain,
( spl2_56
| ~ spl2_59
| ~ spl2_125
| spl2_131 ),
inference(sat_conversion,[],[f7116]) ).
cnf(s620,plain,
( ~ spl2_42
| ~ spl2_79
| ~ spl2_166 ),
inference(sat_conversion,[],[f7117]) ).
cnf(s622,plain,
( ~ spl2_41
| ~ spl2_56
| ~ spl2_174 ),
inference(sat_conversion,[],[f7138]) ).
cnf(s632,plain,
( ~ spl2_124
| ~ spl2_144
| ~ spl2_162 ),
inference(sat_conversion,[],[f7194]) ).
cnf(s635,plain,
( ~ spl2_124
| ~ spl2_130
| spl2_170 ),
inference(sat_conversion,[],[f7216]) ).
cnf(s639,plain,
( ~ spl2_55
| ~ spl2_121
| ~ spl2_146 ),
inference(sat_conversion,[],[f7239]) ).
cnf(s642,plain,
( ~ spl2_151
| spl2_153
| ~ spl2_169 ),
inference(sat_conversion,[],[f7268]) ).
cnf(s643,plain,
( ~ spl2_37
| ~ spl2_153
| ~ spl2_157 ),
inference(sat_conversion,[],[f7278]) ).
cnf(s644,plain,
( spl2_144
| ~ spl2_153
| spl2_167 ),
inference(sat_conversion,[],[f7280]) ).
cnf(s650,plain,
( ~ spl2_37
| ~ spl2_56
| spl2_62
| ~ spl2_174 ),
inference(sat_conversion,[],[f7390]) ).
cnf(s653,plain,
( ~ spl2_3
| ~ spl2_9
| spl2_22 ),
inference(sat_conversion,[],[f7394]) ).
cnf(s660,plain,
( ~ spl2_14
| ~ spl2_42
| spl2_109 ),
inference(sat_conversion,[],[f7434]) ).
cnf(s666,plain,
( ~ spl2_14
| ~ spl2_79
| ~ spl2_109 ),
inference(sat_conversion,[],[f7469]) ).
cnf(s686,plain,
( ~ spl2_21
| spl2_134
| ~ spl2_162 ),
inference(sat_conversion,[],[f7549]) ).
cnf(s688,plain,
~ spl2_31,
inference(sat_conversion,[],[f7563]) ).
cnf(s690,plain,
( spl2_31
| spl2_123
| spl2_124 ),
inference(sat_conversion,[],[f7576]) ).
cnf(s691,plain,
( spl2_31
| spl2_125
| spl2_126 ),
inference(sat_conversion,[],[f7577]) ).
cnf(s692,plain,
( spl2_31
| spl2_121
| spl2_122 ),
inference(sat_conversion,[],[f7578]) ).
cnf(s707,plain,
( ~ spl2_56
| ~ spl2_109
| ~ spl2_134 ),
inference(sat_conversion,[],[f7687]) ).
cnf(s708,plain,
( ~ spl2_53
| ~ spl2_170
| ~ spl2_178 ),
inference(sat_conversion,[],[f7695]) ).
cnf(s723,plain,
( ~ spl2_14
| spl2_21
| ~ spl2_32
| ~ spl2_56 ),
inference(sat_conversion,[],[f7878]) ).
cnf(s724,plain,
( spl2_21
| ~ spl2_56
| ~ spl2_127
| ~ spl2_134 ),
inference(sat_conversion,[],[f7880]) ).
cnf(s731,plain,
( ~ spl2_127
| ~ spl2_134
| ~ spl2_174
| ~ spl2_184 ),
inference(sat_conversion,[],[f7944]) ).
cnf(s732,plain,
( ~ spl2_43
| ~ spl2_56
| spl2_109
| ~ spl2_171 ),
inference(sat_conversion,[],[f7957]) ).
cnf(s733,plain,
( ~ spl2_32
| spl2_53
| spl2_144
| ~ spl2_170
| ~ spl2_178 ),
inference(sat_conversion,[],[f7967]) ).
cnf(s735,plain,
( ~ spl2_122
| spl2_144
| spl2_159
| ~ spl2_161 ),
inference(sat_conversion,[],[f7988]) ).
cnf(s738,plain,
( ~ spl2_32
| ~ spl2_134
| ~ spl2_166
| ~ spl2_167
| ~ spl2_170 ),
inference(sat_conversion,[],[f8046]) ).
cnf(s739,plain,
( ~ spl2_43
| ~ spl2_56
| spl2_183 ),
inference(sat_conversion,[],[f8051]) ).
cnf(s740,plain,
( ~ spl2_127
| ~ spl2_183
| spl2_184 ),
inference(sat_conversion,[],[f8065]) ).
cnf(s741,plain,
( ~ spl2_14
| ~ spl2_32
| ~ spl2_56
| ~ spl2_183 ),
inference(sat_conversion,[],[f8082]) ).
cnf(s745,plain,
( ~ spl2_19
| spl2_62
| ~ spl2_166
| ~ spl2_174 ),
inference(sat_conversion,[],[f8126]) ).
cnf(s746,plain,
( spl2_174
| spl2_177 ),
inference(sat_conversion,[],[f8127]) ).
cnf(s750,plain,
( ~ spl2_32
| ~ spl2_122
| ~ spl2_145
| ~ spl2_170 ),
inference(sat_conversion,[],[f8179]) ).
cnf(s751,plain,
( ~ spl2_123
| ~ spl2_129
| ~ spl2_178 ),
inference(sat_conversion,[],[f8180]) ).
cnf(s755,plain,
( ~ spl2_43
| ~ spl2_56
| ~ spl2_123
| ~ spl2_160 ),
inference(sat_conversion,[],[f8224]) ).
cnf(s757,plain,
( ~ spl2_122
| ~ spl2_123
| spl2_144
| ~ spl2_160 ),
inference(sat_conversion,[],[f8228]) ).
cnf(s759,plain,
( ~ spl2_21
| spl2_22
| ~ spl2_57 ),
inference(sat_conversion,[],[f8238]) ).
cnf(s760,plain,
( ~ spl2_118
| ~ spl2_126
| ~ spl2_166
| spl2_187 ),
inference(sat_conversion,[],[f8267]) ).
cnf(s762,plain,
( spl2_5
| ~ spl2_19
| ~ spl2_32
| ~ spl2_118 ),
inference(sat_conversion,[],[f8278]) ).
cnf(s763,plain,
( ~ spl2_56
| spl2_103
| ~ spl2_134 ),
inference(sat_conversion,[],[f8285]) ).
cnf(s764,plain,
( ~ spl2_122
| ~ spl2_134
| spl2_156
| ~ spl2_166
| ~ spl2_170 ),
inference(sat_conversion,[],[f8333]) ).
cnf(s765,plain,
( ~ spl2_60
| ~ spl2_134
| ~ spl2_166
| spl2_188 ),
inference(sat_conversion,[],[f8338]) ).
cnf(s773,plain,
( ~ spl2_55
| ~ spl2_57
| spl2_172 ),
inference(sat_conversion,[],[f8699]) ).
cnf(s777,plain,
( ~ spl2_142
| spl2_150
| spl2_158 ),
inference(sat_conversion,[],[f9079]) ).
cnf(s781,plain,
( spl2_38
| ~ spl2_142
| spl2_144
| spl2_150
| ~ spl2_166 ),
inference(sat_conversion,[],[f9086]) ).
cnf(s782,plain,
( spl2_107
| ~ spl2_168 ),
inference(sat_conversion,[],[f9192]) ).
cnf(s793,plain,
( ~ spl2_40
| ~ spl2_56
| ~ spl2_123 ),
inference(sat_conversion,[],[f9418]) ).
cnf(s825,plain,
( ~ spl2_40
| ~ spl2_103
| spl2_109
| spl2_127
| ~ spl2_181 ),
inference(sat_conversion,[],[f9490]) ).
cnf(s832,plain,
( ~ spl2_107
| spl2_138
| spl2_143
| spl2_150
| spl2_170 ),
inference(sat_conversion,[],[f9497]) ).
cnf(s834,plain,
( ~ spl2_56
| ~ spl2_122
| ~ spl2_123
| ~ spl2_138 ),
inference(sat_conversion,[],[f9500]) ).
cnf(s835,plain,
( ~ spl2_22
| ~ spl2_45
| ~ spl2_56
| ~ spl2_122
| ~ spl2_138
| spl2_156
| spl2_174
| ~ spl2_183 ),
inference(sat_conversion,[],[f9502]) ).
cnf(s837,plain,
( ~ spl2_60
| ~ spl2_123
| ~ spl2_166 ),
inference(sat_conversion,[],[f9504]) ).
cnf(s841,plain,
( ~ spl2_5
| spl2_144
| ~ spl2_178 ),
inference(sat_conversion,[],[f9524]) ).
cnf(s842,plain,
( ~ spl2_5
| ~ spl2_19
| ~ spl2_32 ),
inference(sat_conversion,[],[f9526]) ).
cnf(s843,plain,
( ~ spl2_5
| ~ spl2_32
| spl2_37
| ~ spl2_107 ),
inference(sat_conversion,[],[f9531]) ).
cnf(s844,plain,
( ~ spl2_123
| ~ spl2_134
| ~ spl2_153
| spl2_201 ),
inference(sat_conversion,[],[f9536]) ).
cnf(s845,plain,
( ~ spl2_22
| ~ spl2_123
| ~ spl2_153
| spl2_174
| spl2_201 ),
inference(sat_conversion,[],[f9537]) ).
cnf(s847,plain,
( spl2_41
| ~ spl2_43
| ~ spl2_138
| spl2_144
| ~ spl2_178 ),
inference(sat_conversion,[],[f9557]) ).
cnf(s848,plain,
( ~ spl2_41
| ~ spl2_138
| ~ spl2_178 ),
inference(sat_conversion,[],[f9577]) ).
cnf(s854,plain,
( ~ spl2_45
| spl2_138
| ~ spl2_144 ),
inference(sat_conversion,[],[f9611]) ).
cnf(s860,plain,
( ~ spl2_37
| spl2_85
| ~ spl2_153
| ~ spl2_178 ),
inference(sat_conversion,[],[f9656]) ).
cnf(s862,plain,
( ~ spl2_19
| ~ spl2_170
| ~ spl2_178
| spl2_185 ),
inference(sat_conversion,[],[f9680]) ).
cnf(s863,plain,
( ~ spl2_19
| ~ spl2_43
| ~ spl2_188 ),
inference(sat_conversion,[],[f9699]) ).
cnf(s864,plain,
( spl2_62
| ~ spl2_178
| ~ spl2_185 ),
inference(sat_conversion,[],[f9761]) ).
cnf(s868,plain,
( ~ spl2_22
| spl2_153
| spl2_178 ),
inference(sat_conversion,[],[f9773]) ).
cnf(s875,plain,
( ~ spl2_22
| ~ spl2_122
| ~ spl2_134
| spl2_178
| spl2_210 ),
inference(sat_conversion,[],[f9793]) ).
cnf(s877,plain,
( ~ spl2_57
| spl2_178
| spl2_206 ),
inference(sat_conversion,[],[f9801]) ).
cnf(s878,plain,
( ~ spl2_123
| ~ spl2_153
| spl2_207 ),
inference(sat_conversion,[],[f9822]) ).
cnf(s879,plain,
( ~ spl2_43
| ~ spl2_122
| ~ spl2_134
| ~ spl2_185 ),
inference(sat_conversion,[],[f9838]) ).
cnf(s883,plain,
( spl2_50
| ~ spl2_134
| ~ spl2_210 ),
inference(sat_conversion,[],[f9869]) ).
cnf(s885,plain,
( ~ spl2_22
| spl2_50
| spl2_174
| ~ spl2_210 ),
inference(sat_conversion,[],[f9873]) ).
cnf(s887,plain,
( spl2_50
| ~ spl2_153
| ~ spl2_201 ),
inference(sat_conversion,[],[f9896]) ).
cnf(s892,plain,
( ~ spl2_32
| ~ spl2_167
| ~ spl2_170
| spl2_188 ),
inference(sat_conversion,[],[f9938]) ).
cnf(s895,plain,
( spl2_38
| ~ spl2_170
| spl2_211 ),
inference(sat_conversion,[],[f9958]) ).
cnf(s897,plain,
( ~ spl2_122
| ~ spl2_123
| ~ spl2_166
| ~ spl2_170
| spl2_213 ),
inference(sat_conversion,[],[f10016]) ).
cnf(s941,plain,
( spl2_239
| spl2_241 ),
inference(sat_conversion,[],[f11466]) ).
cnf(s954,plain,
( ~ spl2_172
| spl2_240
| spl2_250
| spl2_251 ),
inference(sat_conversion,[],[f11584]) ).
cnf(s957,plain,
( ~ spl2_122
| ~ spl2_170
| ~ spl2_238
| ~ spl2_255
| spl2_256 ),
inference(sat_conversion,[],[f11616]) ).
cnf(s958,plain,
( ~ spl2_122
| ~ spl2_123
| ~ spl2_238
| ~ spl2_253
| spl2_256 ),
inference(sat_conversion,[],[f11617]) ).
cnf(s967,plain,
( ~ spl2_168
| spl2_247
| spl2_255 ),
inference(sat_conversion,[],[f11660]) ).
cnf(s987,plain,
( ~ spl2_122
| ~ spl2_238
| ~ spl2_256 ),
inference(sat_conversion,[],[f11853]) ).
cnf(s991,plain,
( ~ spl2_123
| spl2_190
| ~ spl2_226 ),
inference(sat_conversion,[],[f11971]) ).
cnf(s993,plain,
( spl2_166
| ~ spl2_170
| ~ spl2_226 ),
inference(sat_conversion,[],[f11980]) ).
cnf(s995,plain,
( ~ spl2_56
| spl2_138
| ~ spl2_226 ),
inference(sat_conversion,[],[f11984]) ).
cnf(s998,plain,
( ~ spl2_134
| spl2_153
| ~ spl2_226 ),
inference(sat_conversion,[],[f11989]) ).
cnf(s999,plain,
( ~ spl2_122
| spl2_190
| ~ spl2_226 ),
inference(sat_conversion,[],[f11993]) ).
cnf(s1025,plain,
( spl2_33
| spl2_33
| spl2_60
| ~ spl2_258 ),
inference(sat_conversion,[],[f12186]) ).
cnf(s1026,plain,
( spl2_33
| spl2_60
| ~ spl2_258 ),
inference(rat,[],[s1025]) ).
cnf(s1049,plain,
( spl2_127
| ~ spl2_241
| ~ spl2_251 ),
inference(sat_conversion,[],[f12350]) ).
cnf(s1050,plain,
( ~ spl2_43
| spl2_102
| ~ spl2_134
| ~ spl2_162
| spl2_210
| ~ spl2_251 ),
inference(sat_conversion,[],[f12351]) ).
cnf(s1052,plain,
( ~ spl2_130
| spl2_150
| spl2_190
| ~ spl2_251
| ~ spl2_273 ),
inference(sat_conversion,[],[f12358]) ).
cnf(s1055,plain,
( ~ spl2_55
| ~ spl2_57
| spl2_102
| spl2_174
| spl2_190
| ~ spl2_251 ),
inference(sat_conversion,[],[f12362]) ).
cnf(s1057,plain,
( spl2_127
| spl2_150
| ~ spl2_162
| spl2_190
| ~ spl2_251 ),
inference(sat_conversion,[],[f12364]) ).
cnf(s1059,plain,
( spl2_102
| spl2_127
| ~ spl2_162
| spl2_190
| ~ spl2_251 ),
inference(sat_conversion,[],[f12366]) ).
cnf(s1063,plain,
( ~ spl2_41
| ~ spl2_240
| ~ spl2_247 ),
inference(sat_conversion,[],[f12393]) ).
cnf(s1076,plain,
( ~ spl2_9
| ~ spl2_165
| ~ spl2_237
| spl2_279 ),
inference(sat_conversion,[],[f12670]) ).
cnf(s1078,plain,
( ~ spl2_165
| ~ spl2_237
| spl2_246
| spl2_247 ),
inference(sat_conversion,[],[f12675]) ).
cnf(s1088,plain,
( ~ spl2_1
| spl2_150
| spl2_174
| spl2_241
| spl2_253 ),
inference(sat_conversion,[],[f12702]) ).
cnf(s1091,plain,
( ~ spl2_237
| ~ spl2_246 ),
inference(sat_conversion,[],[f12717]) ).
cnf(s1092,plain,
( ~ spl2_246
| spl2_279 ),
inference(sat_conversion,[],[f12720]) ).
cnf(s1095,plain,
( spl2_102
| ~ spl2_162
| ~ spl2_239
| spl2_253 ),
inference(sat_conversion,[],[f12767]) ).
cnf(s1098,plain,
( ~ spl2_162
| ~ spl2_239
| spl2_251
| spl2_253 ),
inference(sat_conversion,[],[f12776]) ).
cnf(s1121,plain,
( spl2_62
| ~ spl2_240
| ~ spl2_275 ),
inference(sat_conversion,[],[f13180]) ).
cnf(s1140,plain,
( spl2_153
| ~ spl2_245
| spl2_279 ),
inference(sat_conversion,[],[f13304]) ).
cnf(s1142,plain,
( ~ spl2_122
| ~ spl2_231
| spl2_249
| ~ spl2_250 ),
inference(sat_conversion,[],[f13323]) ).
cnf(s1148,plain,
( ~ spl2_37
| ~ spl2_240
| ~ spl2_247
| spl2_275 ),
inference(sat_conversion,[],[f13389]) ).
cnf(s1151,plain,
( ~ spl2_287
| spl2_292
| ~ spl2_301 ),
inference(sat_conversion,[],[f13419]) ).
cnf(s1157,plain,
( spl2_243
| spl2_279
| spl2_301 ),
inference(sat_conversion,[],[f13448]) ).
cnf(s1173,plain,
( ~ spl2_1
| ~ spl2_55
| spl2_240
| ~ spl2_249
| spl2_251
| spl2_313 ),
inference(sat_conversion,[],[f13608]) ).
cnf(s1181,plain,
( ~ spl2_134
| ~ spl2_313 ),
inference(sat_conversion,[],[f13638]) ).
cnf(s1182,plain,
( ~ spl2_123
| ~ spl2_313 ),
inference(sat_conversion,[],[f13646]) ).
cnf(s1188,plain,
( ~ spl2_50
| ~ spl2_56 ),
inference(sat_conversion,[],[f13687]) ).
cnf(s1189,plain,
( ~ spl2_37
| ~ spl2_50 ),
inference(sat_conversion,[],[f13692]) ).
cnf(s1192,plain,
( ~ spl2_122
| ~ spl2_123
| ~ spl2_126
| ~ spl2_170
| spl2_200 ),
inference(sat_conversion,[],[f13710]) ).
cnf(s1197,plain,
( ~ spl2_13
| spl2_56
| spl2_166 ),
inference(sat_conversion,[],[f13729]) ).
cnf(s1198,plain,
( ~ spl2_13
| spl2_56
| ~ spl2_123
| spl2_319 ),
inference(sat_conversion,[],[f13737]) ).
cnf(s1200,plain,
( spl2_56
| spl2_166
| ~ spl2_168 ),
inference(sat_conversion,[],[f13739]) ).
cnf(s1202,plain,
( spl2_31
| spl2_56
| spl2_166
| ~ spl2_168 ),
inference(sat_conversion,[],[f13745]) ).
cnf(s1216,plain,
( spl2_31
| ~ spl2_122
| spl2_154
| ~ spl2_162
| ~ spl2_166
| ~ spl2_170
| spl2_213 ),
inference(sat_conversion,[],[f13764]) ).
cnf(s1219,plain,
( spl2_178
| spl2_300 ),
inference(sat_conversion,[],[f13799]) ).
cnf(s1226,plain,
( spl2_240
| ~ spl2_246 ),
inference(sat_conversion,[],[f13880]) ).
cnf(s1228,plain,
( ~ spl2_103
| ~ spl2_122
| ~ spl2_138
| spl2_156 ),
inference(sat_conversion,[],[f13893]) ).
cnf(s1235,plain,
( ~ spl2_122
| ~ spl2_123
| ~ spl2_126
| spl2_138
| spl2_150
| ~ spl2_168
| spl2_200 ),
inference(sat_conversion,[],[f13902]) ).
cnf(s1237,plain,
( ~ spl2_13
| ~ spl2_240
| spl2_247
| spl2_274 ),
inference(sat_conversion,[],[f13959]) ).
cnf(s1239,plain,
( ~ spl2_43
| spl2_102
| ~ spl2_134
| ~ spl2_162
| spl2_277
| ~ spl2_279 ),
inference(sat_conversion,[],[f13971]) ).
cnf(s1242,plain,
( ~ spl2_19
| ~ spl2_240
| ~ spl2_255
| spl2_275 ),
inference(sat_conversion,[],[f13983]) ).
cnf(s1243,plain,
( ~ spl2_1
| spl2_19
| spl2_39 ),
inference(sat_conversion,[],[f13984]) ).
cnf(s1246,plain,
( ~ spl2_122
| ~ spl2_123
| ~ spl2_134
| ~ spl2_138 ),
inference(sat_conversion,[],[f14044]) ).
cnf(s1256,plain,
( ~ spl2_11
| spl2_79 ),
inference(sat_conversion,[],[f14096]) ).
cnf(s1257,plain,
( ~ spl2_11
| spl2_56 ),
inference(sat_conversion,[],[f14103]) ).
cnf(s1258,plain,
( ~ spl2_11
| ~ spl2_43
| ~ spl2_211 ),
inference(sat_conversion,[],[f14117]) ).
cnf(s1260,plain,
( ~ spl2_11
| spl2_41
| ~ spl2_43
| ~ spl2_48 ),
inference(sat_conversion,[],[f14119]) ).
cnf(s1261,plain,
( ~ spl2_170
| ~ spl2_178
| spl2_212 ),
inference(sat_conversion,[],[f14133]) ).
cnf(s1262,plain,
( ~ spl2_123
| ~ spl2_178
| spl2_209 ),
inference(sat_conversion,[],[f14134]) ).
cnf(s1263,plain,
( ~ spl2_13
| spl2_138
| ~ spl2_178
| spl2_212 ),
inference(sat_conversion,[],[f14135]) ).
cnf(s1267,plain,
( ~ spl2_122
| ~ spl2_170
| ~ spl2_200 ),
inference(sat_conversion,[],[f14269]) ).
cnf(s1273,plain,
( ~ spl2_131
| spl2_174 ),
inference(sat_conversion,[],[f14296]) ).
cnf(s1275,plain,
( ~ spl2_43
| ~ spl2_134
| ~ spl2_174
| spl2_195 ),
inference(sat_conversion,[],[f14311]) ).
cnf(s1277,plain,
( ~ spl2_124
| ~ spl2_131 ),
inference(sat_conversion,[],[f14316]) ).
cnf(s1281,plain,
( ~ spl2_126
| ~ spl2_127
| ~ spl2_211 ),
inference(sat_conversion,[],[f14329]) ).
cnf(s1283,plain,
( ~ spl2_86
| ~ spl2_126
| ~ spl2_127
| spl2_128 ),
inference(sat_conversion,[],[f14332]) ).
cnf(s1286,plain,
( ~ spl2_1
| spl2_22
| spl2_43 ),
inference(sat_conversion,[],[f14335]) ).
cnf(s1289,plain,
( ~ spl2_1
| spl2_37
| spl2_45 ),
inference(sat_conversion,[],[f14338]) ).
cnf(s1294,plain,
( ~ spl2_13
| spl2_56
| ~ spl2_126
| spl2_332 ),
inference(sat_conversion,[],[f14350]) ).
cnf(s1297,plain,
( spl2_37
| ~ spl2_57
| spl2_138
| ~ spl2_144 ),
inference(sat_conversion,[],[f14358]) ).
cnf(s1314,plain,
( ~ spl2_38
| spl2_102
| ~ spl2_146
| spl2_158 ),
inference(sat_conversion,[],[f14436]) ).
cnf(s1320,plain,
( ~ spl2_11
| ~ spl2_103
| spl2_127
| spl2_156
| ~ spl2_206
| spl2_226 ),
inference(sat_conversion,[],[f14476]) ).
cnf(s1323,plain,
( ~ spl2_137
| spl2_178 ),
inference(sat_conversion,[],[f14502]) ).
cnf(s1325,plain,
( ~ spl2_153
| ~ spl2_170
| spl2_215 ),
inference(sat_conversion,[],[f14544]) ).
cnf(s1332,plain,
( ~ spl2_14
| ~ spl2_126
| ~ spl2_128 ),
inference(sat_conversion,[],[f14628]) ).
cnf(s1338,plain,
( ~ spl2_56
| ~ spl2_122
| ~ spl2_153
| spl2_216 ),
inference(sat_conversion,[],[f14657]) ).
cnf(s1344,plain,
( ~ spl2_122
| ~ spl2_138
| ~ spl2_337 ),
inference(sat_conversion,[],[f14665]) ).
cnf(s1351,plain,
( ~ spl2_14
| ~ spl2_122
| ~ spl2_138
| ~ spl2_170
| spl2_337 ),
inference(sat_conversion,[],[f14690]) ).
cnf(s1353,plain,
( spl2_14
| ~ spl2_21
| ~ spl2_34 ),
inference(sat_conversion,[],[f14695]) ).
cnf(s1360,plain,
( ~ spl2_241
| ~ spl2_279
| ~ spl2_330 ),
inference(sat_conversion,[],[f14761]) ).
cnf(s1361,plain,
( spl2_5
| ~ spl2_37
| ~ spl2_195 ),
inference(sat_conversion,[],[f14785]) ).
cnf(s1364,plain,
( ~ spl2_38
| ~ spl2_45
| spl2_79 ),
inference(sat_conversion,[],[f14802]) ).
cnf(s1370,plain,
( ~ spl2_126
| ~ spl2_166
| ~ spl2_213 ),
inference(sat_conversion,[],[f14906]) ).
cnf(s1371,plain,
( ~ spl2_127
| ~ spl2_174
| ~ spl2_213 ),
inference(sat_conversion,[],[f14908]) ).
cnf(s1373,plain,
( ~ spl2_42
| ~ spl2_166
| spl2_337 ),
inference(sat_conversion,[],[f14933]) ).
cnf(s1377,plain,
( ~ spl2_175
| spl2_240
| ~ spl2_281 ),
inference(sat_conversion,[],[f14967]) ).
cnf(s1381,plain,
( ~ spl2_126
| spl2_198
| ~ spl2_216 ),
inference(sat_conversion,[],[f15020]) ).
cnf(s1382,plain,
( spl2_41
| ~ spl2_174
| ~ spl2_216 ),
inference(sat_conversion,[],[f15022]) ).
cnf(s1387,plain,
( spl2_53
| ~ spl2_174
| ~ spl2_341 ),
inference(sat_conversion,[],[f15093]) ).
cnf(s1393,plain,
( ~ spl2_122
| spl2_144
| spl2_145 ),
inference(sat_conversion,[],[f15106]) ).
cnf(s1396,plain,
( ~ spl2_1
| spl2_154
| spl2_226
| spl2_238
| spl2_240 ),
inference(sat_conversion,[],[f15112]) ).
cnf(s1404,plain,
( ~ spl2_5
| ~ spl2_37
| ~ spl2_43 ),
inference(sat_conversion,[],[f15160]) ).
cnf(s1405,plain,
( ~ spl2_1
| spl2_178
| spl2_226
| spl2_231
| spl2_241 ),
inference(sat_conversion,[],[f15161]) ).
cnf(s1410,plain,
( ~ spl2_1
| spl2_178
| spl2_226
| spl2_231
| ~ spl2_239 ),
inference(sat_conversion,[],[f15167]) ).
cnf(s1416,plain,
( ~ spl2_13
| spl2_138
| ~ spl2_178
| spl2_212 ),
inference(sat_conversion,[],[f15210]) ).
cnf(s1417,plain,
( spl2_144
| ~ spl2_178
| spl2_203 ),
inference(sat_conversion,[],[f15211]) ).
cnf(s1422,plain,
( ~ spl2_39
| ~ spl2_239
| spl2_255 ),
inference(sat_conversion,[],[f15282]) ).
cnf(s1427,plain,
( ~ spl2_122
| ~ spl2_134
| ~ spl2_156 ),
inference(sat_conversion,[],[f15365]) ).
cnf(s1428,plain,
( ~ spl2_43
| ~ spl2_156
| ~ spl2_178 ),
inference(sat_conversion,[],[f15367]) ).
cnf(s1435,plain,
( ~ spl2_60
| ~ spl2_122
| ~ spl2_170
| spl2_200 ),
inference(sat_conversion,[],[f15385]) ).
cnf(s1441,plain,
( ~ spl2_9
| spl2_13
| spl2_14 ),
inference(sat_conversion,[],[f15396]) ).
cnf(s1483,plain,
( spl2_5
| ~ spl2_174
| ~ spl2_353 ),
inference(sat_conversion,[],[f15779]) ).
cnf(s1487,plain,
( ~ spl2_122
| ~ spl2_127
| ~ spl2_178
| spl2_353 ),
inference(sat_conversion,[],[f15789]) ).
cnf(s1488,plain,
( spl2_55
| ~ spl2_174
| spl2_179 ),
inference(sat_conversion,[],[f15790]) ).
cnf(s1491,plain,
( ~ spl2_1
| spl2_19
| spl2_31
| spl2_127
| spl2_166 ),
inference(sat_conversion,[],[f15793]) ).
cnf(s1492,plain,
( ~ spl2_62
| ~ spl2_154 ),
inference(sat_conversion,[],[f15801]) ).
cnf(s1494,plain,
( ~ spl2_19
| ~ spl2_122
| spl2_144
| ~ spl2_170
| spl2_356 ),
inference(sat_conversion,[],[f15806]) ).
cnf(s1495,plain,
( ~ spl2_130
| spl2_134
| ~ spl2_151 ),
inference(sat_conversion,[],[f15807]) ).
cnf(s1499,plain,
( ~ spl2_1
| spl2_37
| spl2_138
| spl2_154 ),
inference(sat_conversion,[],[f15815]) ).
cnf(s1515,plain,
( ~ spl2_38
| ~ spl2_125
| ~ spl2_162 ),
inference(sat_conversion,[],[f15984]) ).
cnf(s1524,plain,
( ~ spl2_123
| ~ spl2_127
| spl2_129
| ~ spl2_203 ),
inference(sat_conversion,[],[f16143]) ).
cnf(s1532,plain,
( ~ spl2_292
| ~ spl2_306
| ~ spl2_330 ),
inference(sat_conversion,[],[f16245]) ).
cnf(s1546,plain,
( ~ spl2_79
| ~ spl2_88
| spl2_330 ),
inference(sat_conversion,[],[f16387]) ).
cnf(s1551,plain,
( ~ spl2_123
| ~ spl2_127
| ~ spl2_145
| spl2_213 ),
inference(sat_conversion,[],[f16502]) ).
cnf(s1553,plain,
( spl2_157
| ~ spl2_170
| ~ spl2_231
| ~ spl2_274 ),
inference(sat_conversion,[],[f16564]) ).
cnf(s1559,plain,
( ~ spl2_14
| ~ spl2_153
| ~ spl2_170
| spl2_201 ),
inference(sat_conversion,[],[f16611]) ).
cnf(s1561,plain,
( spl2_50
| ~ spl2_292
| ~ spl2_362 ),
inference(sat_conversion,[],[f16634]) ).
cnf(s1563,plain,
( ~ spl2_39
| ~ spl2_266
| spl2_289 ),
inference(sat_conversion,[],[f16638]) ).
cnf(s1564,plain,
( ~ spl2_14
| ~ spl2_289
| ~ spl2_292
| spl2_362 ),
inference(sat_conversion,[],[f16646]) ).
cnf(s1586,plain,
( ~ spl2_123
| spl2_200
| ~ spl2_319 ),
inference(sat_conversion,[],[f16861]) ).
cnf(s1587,plain,
( ~ spl2_231
| spl2_344
| ~ spl2_348 ),
inference(sat_conversion,[],[f16879]) ).
cnf(s1589,plain,
( ~ spl2_14
| spl2_42
| ~ spl2_79
| ~ spl2_118 ),
inference(sat_conversion,[],[f16920]) ).
cnf(s1606,plain,
( ~ spl2_234
| spl2_255
| spl2_281 ),
inference(sat_conversion,[],[f17056]) ).
cnf(s1611,plain,
( ~ spl2_158
| ~ spl2_231
| spl2_367
| ~ spl2_368 ),
inference(sat_conversion,[],[f17215]) ).
cnf(s1618,plain,
( ~ spl2_233
| ~ spl2_238
| ~ spl2_370
| spl2_371 ),
inference(sat_conversion,[],[f17353]) ).
cnf(s1627,plain,
( spl2_251
| ~ spl2_305 ),
inference(sat_conversion,[],[f17451]) ).
cnf(s1632,plain,
( ~ spl2_1
| spl2_178
| ~ spl2_233
| ~ spl2_235
| spl2_305
| spl2_306
| ~ spl2_371 ),
inference(sat_conversion,[],[f17500]) ).
cnf(s1636,plain,
( spl2_292
| ~ spl2_361 ),
inference(sat_conversion,[],[f17540]) ).
cnf(s1643,plain,
( spl2_166
| spl2_273 ),
inference(sat_conversion,[],[f17563]) ).
cnf(s1644,plain,
( ~ spl2_123
| spl2_129
| ~ spl2_190
| ~ spl2_209 ),
inference(sat_conversion,[],[f17564]) ).
cnf(s1645,plain,
( ~ spl2_123
| ~ spl2_190
| ~ spl2_231 ),
inference(sat_conversion,[],[f17565]) ).
cnf(s1646,plain,
( ~ spl2_123
| spl2_128
| ~ spl2_190
| ~ spl2_207 ),
inference(sat_conversion,[],[f17566]) ).
cnf(s1647,plain,
( ~ spl2_122
| ~ spl2_123
| ~ spl2_190
| spl2_213 ),
inference(sat_conversion,[],[f17567]) ).
cnf(s1650,plain,
( spl2_240
| spl2_302 ),
inference(sat_conversion,[],[f17576]) ).
cnf(s1655,plain,
( ~ spl2_1
| spl2_32
| spl2_240
| spl2_258
| spl2_368 ),
inference(sat_conversion,[],[f17587]) ).
cnf(s1665,plain,
( ~ spl2_231
| ~ spl2_235
| ~ spl2_238
| ~ spl2_381
| spl2_382 ),
inference(sat_conversion,[],[f17743]) ).
cnf(s1667,plain,
( ~ spl2_1
| spl2_178
| spl2_251
| spl2_306
| spl2_381 ),
inference(sat_conversion,[],[f17756]) ).
cnf(s1668,plain,
( ~ spl2_1
| spl2_178
| spl2_305
| spl2_306
| spl2_381 ),
inference(sat_conversion,[],[f17757]) ).
cnf(s1669,plain,
( ~ spl2_235
| ~ spl2_238
| ~ spl2_382 ),
inference(sat_conversion,[],[f17771]) ).
cnf(s1671,plain,
( ~ spl2_233
| ~ spl2_235
| ~ spl2_282
| ~ spl2_306 ),
inference(sat_conversion,[],[f17774]) ).
cnf(s1677,plain,
( ~ spl2_122
| ~ spl2_126
| ~ spl2_158
| spl2_187 ),
inference(sat_conversion,[],[f17792]) ).
cnf(s1689,plain,
( ~ spl2_123
| spl2_128
| ~ spl2_166
| ~ spl2_215 ),
inference(sat_conversion,[],[f17832]) ).
cnf(s1692,plain,
( ~ spl2_123
| spl2_129
| ~ spl2_166
| ~ spl2_212 ),
inference(sat_conversion,[],[f17840]) ).
cnf(s1699,plain,
( ~ spl2_122
| ~ spl2_158
| ~ spl2_166
| spl2_341 ),
inference(sat_conversion,[],[f17867]) ).
cnf(s1701,plain,
( ~ spl2_122
| ~ spl2_154
| ~ spl2_356 ),
inference(sat_conversion,[],[f17869]) ).
cnf(s1703,plain,
( ~ spl2_123
| spl2_144
| ~ spl2_174
| ~ spl2_231 ),
inference(sat_conversion,[],[f17871]) ).
cnf(s1718,plain,
( spl2_55
| ~ spl2_123
| spl2_160 ),
inference(sat_conversion,[],[f17916]) ).
cnf(s1728,plain,
( ~ spl2_123
| ~ spl2_134
| ~ spl2_138
| ~ spl2_231 ),
inference(sat_conversion,[],[f17997]) ).
cnf(s1734,plain,
( spl2_19
| ~ spl2_55
| ~ spl2_57
| spl2_166 ),
inference(sat_conversion,[],[f18022]) ).
cnf(s1735,plain,
( ~ spl2_231
| ~ spl2_240
| spl2_380 ),
inference(sat_conversion,[],[f18041]) ).
cnf(s1741,plain,
( ~ spl2_1
| ~ spl2_14
| spl2_19
| spl2_143
| spl2_277
| ~ spl2_279
| ~ spl2_330 ),
inference(sat_conversion,[],[f18084]) ).
cnf(s1744,plain,
( ~ spl2_40
| ~ spl2_43
| ~ spl2_330 ),
inference(sat_conversion,[],[f18102]) ).
cnf(s1745,plain,
( ~ spl2_37
| ~ spl2_40
| spl2_85 ),
inference(sat_conversion,[],[f18104]) ).
cnf(s1754,plain,
( ~ spl2_14
| ~ spl2_255
| spl2_277
| ~ spl2_279 ),
inference(sat_conversion,[],[f18197]) ).
cnf(s1755,plain,
( spl2_5
| ~ spl2_154
| ~ spl2_174
| ~ spl2_209 ),
inference(sat_conversion,[],[f18200]) ).
cnf(s1756,plain,
( ~ spl2_14
| spl2_38
| spl2_86 ),
inference(sat_conversion,[],[f18201]) ).
cnf(s1758,plain,
( ~ spl2_1
| spl2_31
| spl2_32
| spl2_126
| spl2_174 ),
inference(sat_conversion,[],[f18203]) ).
cnf(s1760,plain,
( ~ spl2_1
| spl2_31
| ~ spl2_38
| spl2_126
| spl2_174 ),
inference(sat_conversion,[],[f18205]) ).
cnf(s1761,plain,
( ~ spl2_122
| ~ spl2_123
| ~ spl2_154
| ~ spl2_174
| spl2_356 ),
inference(sat_conversion,[],[f18206]) ).
cnf(s1762,plain,
( spl2_21
| ~ spl2_138
| spl2_342 ),
inference(sat_conversion,[],[f18209]) ).
cnf(s1765,plain,
( ~ spl2_21
| ~ spl2_146
| spl2_153 ),
inference(sat_conversion,[],[f18219]) ).
cnf(s1776,plain,
( ~ spl2_1
| spl2_43
| spl2_134
| spl2_174 ),
inference(sat_conversion,[],[f18242]) ).
cnf(s1777,plain,
( ~ spl2_1
| spl2_37
| spl2_56
| spl2_127 ),
inference(sat_conversion,[],[f18243]) ).
cnf(s1780,plain,
( ~ spl2_1
| spl2_19
| spl2_102
| spl2_154
| spl2_170 ),
inference(sat_conversion,[],[f18247]) ).
cnf(s1783,plain,
( ~ spl2_1
| spl2_19
| spl2_150
| spl2_154
| spl2_170 ),
inference(sat_conversion,[],[f18252]) ).
cnf(s1789,plain,
( ~ spl2_19
| spl2_38
| spl2_48 ),
inference(sat_conversion,[],[f18290]) ).
cnf(s1797,plain,
( spl2_42
| ~ spl2_79
| ~ spl2_153
| ~ spl2_158 ),
inference(sat_conversion,[],[f18377]) ).
cnf(s1804,plain,
( ~ spl2_123
| ~ spl2_127
| ~ spl2_344 ),
inference(sat_conversion,[],[f18456]) ).
cnf(s1811,plain,
( ~ spl2_19
| ~ spl2_127
| ~ spl2_200 ),
inference(sat_conversion,[],[f18527]) ).
cnf(s1812,plain,
( ~ spl2_19
| spl2_55
| ~ spl2_200 ),
inference(sat_conversion,[],[f18529]) ).
cnf(s1821,plain,
( ~ spl2_237
| spl2_255
| spl2_281 ),
inference(sat_conversion,[],[f18635]) ).
cnf(s1823,plain,
( spl2_170
| ~ spl2_237
| ~ spl2_281 ),
inference(sat_conversion,[],[f18672]) ).
cnf(s1846,plain,
( spl2_33
| spl2_33
| spl2_60
| ~ spl2_243 ),
inference(sat_conversion,[],[f18829]) ).
cnf(s1847,plain,
( spl2_33
| spl2_60
| ~ spl2_243 ),
inference(rat,[],[s1846]) ).
cnf(s1853,plain,
( ~ spl2_169
| ~ spl2_175
| spl2_178 ),
inference(sat_conversion,[],[f18852]) ).
cnf(s1856,plain,
( ~ spl2_169
| ~ spl2_232
| spl2_255 ),
inference(sat_conversion,[],[f18872]) ).
cnf(s1857,plain,
( spl2_143
| ~ spl2_169
| ~ spl2_232
| spl2_255 ),
inference(sat_conversion,[],[f18873]) ).
cnf(s1872,plain,
( ~ spl2_138
| spl2_330
| ~ spl2_342 ),
inference(sat_conversion,[],[f19126]) ).
cnf(s1883,plain,
( ~ spl2_234
| ~ spl2_281
| spl2_289 ),
inference(sat_conversion,[],[f19329]) ).
cnf(s1889,plain,
( ~ spl2_236
| spl2_288
| spl2_289 ),
inference(sat_conversion,[],[f19388]) ).
cnf(s1893,plain,
( ~ spl2_236
| spl2_255
| ~ spl2_288 ),
inference(sat_conversion,[],[f19417]) ).
cnf(s1894,plain,
( ~ spl2_233
| ~ spl2_293
| ~ spl2_410 ),
inference(sat_conversion,[],[f19418]) ).
cnf(s1897,plain,
( ~ spl2_287
| spl2_293
| ~ spl2_302 ),
inference(sat_conversion,[],[f19427]) ).
cnf(s1904,plain,
( ~ spl2_19
| ~ spl2_127
| spl2_211
| ~ spl2_332 ),
inference(sat_conversion,[],[f19552]) ).
cnf(s1905,plain,
( ~ spl2_19
| spl2_55
| spl2_211
| ~ spl2_332 ),
inference(sat_conversion,[],[f19554]) ).
cnf(s1907,plain,
( spl2_5
| ~ spl2_19
| ~ spl2_241
| ~ spl2_274 ),
inference(sat_conversion,[],[f19574]) ).
cnf(s1915,plain,
( spl2_41
| ~ spl2_153
| ~ spl2_247
| ~ spl2_380 ),
inference(sat_conversion,[],[f19661]) ).
cnf(s1917,plain,
( spl2_50
| ~ spl2_277
| ~ spl2_279 ),
inference(sat_conversion,[],[f19696]) ).
cnf(s1922,plain,
( ~ spl2_1
| spl2_32
| spl2_102
| spl2_158
| spl2_178 ),
inference(sat_conversion,[],[f19704]) ).
cnf(s1927,plain,
( ~ spl2_123
| ~ spl2_174
| ~ spl2_178
| spl2_185 ),
inference(sat_conversion,[],[f19714]) ).
cnf(s1930,plain,
( spl2_21
| ~ spl2_79
| spl2_88 ),
inference(sat_conversion,[],[f19721]) ).
cnf(s1933,plain,
( ~ spl2_43
| ~ spl2_79
| ~ spl2_86
| spl2_109 ),
inference(sat_conversion,[],[f19724]) ).
cnf(s1937,plain,
( ~ spl2_153
| ~ spl2_231
| spl2_277
| ~ spl2_279 ),
inference(sat_conversion,[],[f19735]) ).
cnf(s1949,plain,
( spl2_10
| ~ spl2_21
| spl2_181 ),
inference(sat_conversion,[],[f19783]) ).
cnf(s1962,plain,
( ~ spl2_15
| spl2_166 ),
inference(sat_conversion,[],[f19905]) ).
cnf(s1964,plain,
( ~ spl2_15
| spl2_170 ),
inference(sat_conversion,[],[f19918]) ).
cnf(s1972,plain,
( ~ spl2_1
| spl2_43
| spl2_240
| spl2_279 ),
inference(sat_conversion,[],[f19956]) ).
cnf(s1973,plain,
( ~ spl2_1
| spl2_43
| spl2_240
| spl2_243
| spl2_279 ),
inference(sat_conversion,[],[f19957]) ).
cnf(s1976,plain,
( ~ spl2_154
| spl2_157
| ~ spl2_231
| ~ spl2_283 ),
inference(sat_conversion,[],[f19960]) ).
cnf(s1978,plain,
( ~ spl2_130
| spl2_174
| ~ spl2_175 ),
inference(sat_conversion,[],[f19962]) ).
cnf(s1982,plain,
( ~ spl2_1
| spl2_154
| spl2_293
| spl2_305
| spl2_370 ),
inference(sat_conversion,[],[f19972]) ).
cnf(s1993,plain,
( ~ spl2_56
| ~ spl2_126
| ~ spl2_198 ),
inference(sat_conversion,[],[f20061]) ).
cnf(s2003,plain,
( ~ spl2_121
| spl2_131
| spl2_140 ),
inference(sat_conversion,[],[f20178]) ).
cnf(s2006,plain,
( ~ spl2_157
| ~ spl2_231
| ~ spl2_240 ),
inference(sat_conversion,[],[f20204]) ).
cnf(s2007,plain,
( ~ spl2_14
| ~ spl2_19
| ~ spl2_32
| ~ spl2_184 ),
inference(sat_conversion,[],[f20236]) ).
cnf(s2008,plain,
( ~ spl2_121
| ~ spl2_169
| ~ spl2_273 ),
inference(sat_conversion,[],[f20277]) ).
cnf(s2013,plain,
( ~ spl2_56
| ~ spl2_100
| ~ spl2_126
| spl2_187 ),
inference(sat_conversion,[],[f20288]) ).
cnf(s2015,plain,
( ~ spl2_48
| ~ spl2_126
| ~ spl2_127
| spl2_129 ),
inference(sat_conversion,[],[f20293]) ).
cnf(s2016,plain,
( ~ spl2_238
| ~ spl2_241
| ~ spl2_344 ),
inference(sat_conversion,[],[f20296]) ).
cnf(s2017,plain,
( ~ spl2_121
| spl2_137
| spl2_138
| ~ spl2_139 ),
inference(sat_conversion,[],[f20297]) ).
cnf(s2019,plain,
( ~ spl2_9
| ~ spl2_121
| ~ spl2_139
| spl2_153 ),
inference(sat_conversion,[],[f20299]) ).
cnf(s2020,plain,
( ~ spl2_1
| spl2_19
| spl2_143
| spl2_241
| spl2_255 ),
inference(sat_conversion,[],[f20300]) ).
cnf(s2023,plain,
( ~ spl2_1
| spl2_19
| spl2_241
| spl2_255
| spl2_258 ),
inference(sat_conversion,[],[f20306]) ).
cnf(s2031,plain,
( ~ spl2_126
| spl2_158
| ~ spl2_226 ),
inference(sat_conversion,[],[f20409]) ).
cnf(s2046,plain,
( spl2_226
| spl2_233
| spl2_234 ),
inference(sat_conversion,[],[f20444]) ).
cnf(s2048,plain,
( spl2_226
| spl2_231
| spl2_232 ),
inference(sat_conversion,[],[f20446]) ).
cnf(s2051,plain,
( ~ spl2_14
| ~ spl2_134
| ~ spl2_166
| spl2_210 ),
inference(sat_conversion,[],[f20472]) ).
cnf(s2052,plain,
( ~ spl2_121
| spl2_169
| spl2_170 ),
inference(sat_conversion,[],[f20473]) ).
cnf(s2056,plain,
( spl2_33
| ~ spl2_125
| spl2_130 ),
inference(sat_conversion,[],[f20526]) ).
cnf(s2063,plain,
( spl2_266
| ~ spl2_293
| spl2_303 ),
inference(sat_conversion,[],[f20587]) ).
cnf(s2064,plain,
( ~ spl2_124
| spl2_137
| spl2_140 ),
inference(sat_conversion,[],[f20610]) ).
cnf(s2069,plain,
( ~ spl2_232
| spl2_245
| spl2_246 ),
inference(sat_conversion,[],[f20676]) ).
cnf(s2073,plain,
( spl2_137
| ~ spl2_237
| spl2_245 ),
inference(sat_conversion,[],[f20707]) ).
cnf(s2078,plain,
( ~ spl2_234
| spl2_287
| spl2_361 ),
inference(sat_conversion,[],[f20784]) ).
cnf(s2094,plain,
( ~ spl2_140
| spl2_150
| ~ spl2_232
| spl2_253 ),
inference(sat_conversion,[],[f20978]) ).
cnf(s2095,plain,
( spl2_102
| ~ spl2_140
| ~ spl2_232
| spl2_253 ),
inference(sat_conversion,[],[f20979]) ).
cnf(s2096,plain,
( ~ spl2_129
| ~ spl2_240
| ~ spl2_253 ),
inference(sat_conversion,[],[f21001]) ).
cnf(s2097,plain,
( ~ spl2_124
| spl2_130
| spl2_166 ),
inference(sat_conversion,[],[f21002]) ).
cnf(s2098,plain,
( ~ spl2_140
| ~ spl2_152
| spl2_153 ),
inference(sat_conversion,[],[f21003]) ).
cnf(s2099,plain,
( spl2_240
| ~ spl2_245
| ~ spl2_300 ),
inference(sat_conversion,[],[f21005]) ).
cnf(s2101,plain,
( ~ spl2_127
| spl2_129
| ~ spl2_253
| ~ spl2_283 ),
inference(sat_conversion,[],[f21007]) ).
cnf(s2104,plain,
( spl2_169
| spl2_170
| ~ spl2_232 ),
inference(sat_conversion,[],[f21010]) ).
cnf(s2105,plain,
( spl2_55
| ~ spl2_134
| spl2_171 ),
inference(sat_conversion,[],[f21011]) ).
cnf(s2106,plain,
( ~ spl2_21
| spl2_57 ),
inference(sat_conversion,[],[f21012]) ).
cnf(s2110,plain,
( ~ spl2_55
| spl2_57 ),
inference(sat_conversion,[],[f21049]) ).
cnf(s2114,plain,
( ~ spl2_32
| spl2_53
| ~ spl2_166
| ~ spl2_179 ),
inference(sat_conversion,[],[f21092]) ).
cnf(s2121,plain,
( ~ spl2_134
| ~ spl2_166
| ~ spl2_188 ),
inference(sat_conversion,[],[f21180]) ).
cnf(s2123,plain,
( ~ spl2_79
| ~ spl2_103
| ~ spl2_166
| spl2_188 ),
inference(sat_conversion,[],[f21182]) ).
cnf(s2130,plain,
( ~ spl2_178
| ~ spl2_238
| ~ spl2_410 ),
inference(sat_conversion,[],[f21288]) ).
cnf(s2136,plain,
( ~ spl2_19
| ~ spl2_126
| ~ spl2_187 ),
inference(sat_conversion,[],[f21382]) ).
cnf(s2139,plain,
( ~ spl2_126
| ~ spl2_166
| ~ spl2_187 ),
inference(sat_conversion,[],[f21391]) ).
cnf(s2144,plain,
( ~ spl2_32
| ~ spl2_166
| ~ spl2_171
| spl2_188 ),
inference(sat_conversion,[],[f21435]) ).
cnf(s2145,plain,
( spl2_38
| ~ spl2_166
| spl2_211 ),
inference(sat_conversion,[],[f21452]) ).
cnf(s2146,plain,
( spl2_5
| ~ spl2_19
| ~ spl2_154
| ~ spl2_212 ),
inference(sat_conversion,[],[f21483]) ).
cnf(s2147,plain,
( spl2_5
| ~ spl2_19
| spl2_144
| ~ spl2_212 ),
inference(sat_conversion,[],[f21484]) ).
cnf(s2149,plain,
( ~ spl2_233
| spl2_239
| spl2_282 ),
inference(sat_conversion,[],[f21505]) ).
cnf(s2158,plain,
( ~ spl2_233
| ~ spl2_241
| ~ spl2_303
| spl2_410 ),
inference(sat_conversion,[],[f21612]) ).
cnf(s2159,plain,
( ~ spl2_134
| ~ spl2_253
| spl2_277
| ~ spl2_279 ),
inference(sat_conversion,[],[f21615]) ).
cnf(s2162,plain,
( ~ spl2_3
| spl2_19
| ~ spl2_168 ),
inference(sat_conversion,[],[f21618]) ).
cnf(s2164,plain,
( ~ spl2_21
| spl2_279
| ~ spl2_285 ),
inference(sat_conversion,[],[f21623]) ).
cnf(s2169,plain,
( ~ spl2_1
| spl2_32
| spl2_37
| spl2_79 ),
inference(sat_conversion,[],[f21634]) ).
cnf(s2170,plain,
( ~ spl2_1
| spl2_31
| spl2_32
| spl2_37
| spl2_79 ),
inference(sat_conversion,[],[f21636]) ).
cnf(s2171,plain,
( ~ spl2_1
| spl2_14
| spl2_19
| spl2_43 ),
inference(sat_conversion,[],[f21637]) ).
cnf(s2174,plain,
( spl2_33
| spl2_34
| ~ spl2_38 ),
inference(sat_conversion,[],[f21664]) ).
cnf(s2185,plain,
( ~ spl2_231
| ~ spl2_238
| ~ spl2_255
| ~ spl2_367 ),
inference(sat_conversion,[],[f21840]) ).
cnf(s2187,plain,
( ~ spl2_212
| ~ spl2_238
| ~ spl2_255
| spl2_410 ),
inference(sat_conversion,[],[f21875]) ).
cnf(s2188,plain,
( ~ spl2_1
| ~ spl2_124
| ~ spl2_144
| spl2_174 ),
inference(sat_conversion,[],[f21876]) ).
cnf(s2189,plain,
( ~ spl2_140
| ~ spl2_177
| spl2_178 ),
inference(sat_conversion,[],[f21877]) ).
cnf(s2191,plain,
( spl2_144
| ~ spl2_231
| spl2_348 ),
inference(sat_conversion,[],[f21882]) ).
cnf(s2193,plain,
( ~ spl2_124
| spl2_127
| spl2_131
| ~ spl2_144 ),
inference(sat_conversion,[],[f21884]) ).
cnf(s2194,plain,
( ~ spl2_9
| ~ spl2_124
| spl2_134
| ~ spl2_165 ),
inference(sat_conversion,[],[f21885]) ).
cnf(s2195,plain,
( ~ spl2_203
| ~ spl2_238
| ~ spl2_241
| spl2_410 ),
inference(sat_conversion,[],[f21886]) ).
cnf(s2196,plain,
( spl2_55
| ~ spl2_126
| spl2_161 ),
inference(sat_conversion,[],[f21887]) ).
cnf(s2197,plain,
( spl2_56
| ~ spl2_124
| spl2_131
| ~ spl2_165 ),
inference(sat_conversion,[],[f21888]) ).
cnf(s2198,plain,
( ~ spl2_1
| ~ spl2_55
| ~ spl2_121
| spl2_178 ),
inference(sat_conversion,[],[f21889]) ).
cnf(s2204,plain,
( spl2_137
| ~ spl2_144
| spl2_146 ),
inference(sat_conversion,[],[f21925]) ).
cnf(s2205,plain,
( spl2_57
| ~ spl2_144 ),
inference(sat_conversion,[],[f21926]) ).
cnf(s2210,plain,
( ~ spl2_37
| ~ spl2_127
| ~ spl2_337 ),
inference(sat_conversion,[],[f22042]) ).
cnf(s2213,plain,
( ~ spl2_236
| spl2_246
| spl2_287 ),
inference(sat_conversion,[],[f22089]) ).
cnf(s2216,plain,
( ~ spl2_238
| ~ spl2_289
| ~ spl2_367
| ~ spl2_381 ),
inference(sat_conversion,[],[f22148]) ).
cnf(s2226,plain,
( spl2_122
| ~ spl2_231
| ~ spl2_251 ),
inference(sat_conversion,[],[f22223]) ).
cnf(s2231,plain,
( ~ spl2_139
| spl2_165
| ~ spl2_226 ),
inference(sat_conversion,[],[f22296]) ).
cnf(s2235,plain,
( spl2_134
| ~ spl2_153
| ~ spl2_226 ),
inference(sat_conversion,[],[f22302]) ).
cnf(s2237,plain,
( spl2_131
| ~ spl2_140
| ~ spl2_226 ),
inference(sat_conversion,[],[f22305]) ).
cnf(s2245,plain,
( spl2_56
| ~ spl2_138
| ~ spl2_226 ),
inference(sat_conversion,[],[f22316]) ).
cnf(s2250,plain,
( ~ spl2_55
| spl2_131
| spl2_162 ),
inference(sat_conversion,[],[f22344]) ).
cnf(s2254,plain,
( spl2_226
| spl2_235
| spl2_236 ),
inference(sat_conversion,[],[f22366]) ).
cnf(s2255,plain,
( spl2_123
| spl2_137
| spl2_140
| spl2_226 ),
inference(sat_conversion,[],[f22367]) ).
cnf(s2257,plain,
( spl2_122
| spl2_131
| spl2_140
| spl2_226 ),
inference(sat_conversion,[],[f22369]) ).
cnf(s2259,plain,
( spl2_226
| spl2_237
| spl2_238 ),
inference(sat_conversion,[],[f22371]) ).
cnf(s2261,plain,
( spl2_239
| ~ spl2_240
| spl2_283 ),
inference(sat_conversion,[],[f22383]) ).
cnf(s2264,plain,
( ~ spl2_239
| spl2_246
| spl2_285 ),
inference(sat_conversion,[],[f22398]) ).
cnf(s2273,plain,
( ~ spl2_43
| ~ spl2_138
| ~ spl2_344 ),
inference(sat_conversion,[],[f22497]) ).
cnf(s2276,plain,
( spl2_10
| spl2_14
| spl2_168 ),
inference(rat,[],[s535,s688]) ).
cnf(s2285,plain,
( spl2_14
| spl2_151 ),
inference(rat,[],[s426,s688]) ).
cnf(s2288,plain,
( spl2_59
| spl2_79 ),
inference(rat,[],[s357,s688]) ).
cnf(s2329,plain,
( ~ spl2_11
| ~ spl2_37
| ~ spl2_2 ),
inference(rat,[],[s2097,s690,s1495,s2145,s590,s591,s1258,s437,s163,s37,s2285,s61,s26,s136,s42,s344,s688]) ).
cnf(s2330,plain,
( spl2_130
| ~ spl2_124
| spl2_33
| ~ spl2_2 ),
inference(rat,[],[s1281,s691,s2145,s2056,s2097,s136,s596,s502,s688]) ).
cnf(s2331,plain,
( ~ spl2_134
| ~ spl2_82
| ~ spl2_37
| ~ spl2_127 ),
inference(rat,[],[s594,s593]) ).
cnf(s2332,plain,
( ~ spl2_37
| ~ spl2_2 ),
inference(rat,[],[s1202,s2145,s481,s1281,s691,s2056,s1495,s2331,s2276,s41,s2329,s50,s2285,s61,s163,s167,s37,s596,s502,s42,s344,s26,s136,s688]) ).
cnf(s2333,plain,
( spl2_14
| spl2_130
| ~ spl2_2 ),
inference(rat,[],[s1586,s1198,s755,s1718,s1812,s690,s2162,s2330,s1441,s2276,s50,s502,s42,s344,s171,s6,s31,s2332,s688]) ).
cnf(s2334,plain,
( ~ spl2_126
| ~ spl2_86
| ~ spl2_14
| ~ spl2_127 ),
inference(rat,[],[s1283,s1332]) ).
cnf(s2335,plain,
( ~ spl2_33
| ~ spl2_2 ),
inference(rat,[],[s62,s64,s21,s49,s51,s37,s42,s344,s26,s136,s653,s6,s31,s171,s2332]) ).
cnf(s2336,plain,
( spl2_130
| ~ spl2_2 ),
inference(rat,[],[s2334,s691,s1756,s2056,s2333,s136,s596,s502,s2335,s688]) ).
cnf(s2337,plain,
( spl2_14
| ~ spl2_2 ),
inference(rat,[],[s2144,s1202,s863,s724,s2105,s2162,s1495,s2276,s2285,s596,s502,s42,s344,s26,s136,s171,s31,s2332,s2336,s688]) ).
cnf(s2338,plain,
~ spl2_2,
inference(rat,[],[s666,s1933,s2288,s619,s358,s691,s2334,s723,s1756,s2337,s26,s42,s596,s136,s344,s502,s688]) ).
cnf(s2339,plain,
spl2_1,
inference(rat,[],[s13,s2338]) ).
cnf(s2340,plain,
( spl2_56
| spl2_166
| spl2_14 ),
inference(rat,[],[s2276,s41,s1200,s1257]) ).
cnf(s2341,plain,
( spl2_38
| ~ spl2_43
| ~ spl2_127
| spl2_14
| spl2_130 ),
inference(rat,[],[s2015,s459,s1789,s1734,s2110,s1718,s755,s2340,s690,s2097,s2145,s1281,s691,s2056,s50,s688]) ).
cnf(s2342,plain,
( ~ spl2_140
| ~ spl2_177
| ~ spl2_152
| spl2_85
| ~ spl2_37 ),
inference(rat,[],[s860,s2098,s2189]) ).
cnf(s2343,plain,
( ~ spl2_56
| spl2_102
| spl2_187
| ~ spl2_161
| spl2_131
| ~ spl2_152
| ~ spl2_37
| ~ spl2_38
| spl2_62
| ~ spl2_126 ),
inference(rat,[],[s2204,s735,s1314,s439,s496,s1677,s1338,s692,s2003,s2342,s746,s1381,s650,s1993,s254,s688]) ).
cnf(s2344,plain,
( ~ spl2_174
| ~ spl2_32
| ~ spl2_166
| spl2_55 ),
inference(rat,[],[s2114,s605,s1488]) ).
cnf(s2345,plain,
( spl2_174
| spl2_226
| ~ spl2_124
| ~ spl2_161
| spl2_131
| ~ spl2_152
| spl2_85
| ~ spl2_37
| ~ spl2_126 ),
inference(rat,[],[s735,s496,s2257,s2342,s2188,s746,s2339]) ).
cnf(s2346,plain,
( spl2_231
| spl2_129
| spl2_178
| ~ spl2_140
| ~ spl2_330
| spl2_226
| spl2_102
| ~ spl2_127 ),
inference(rat,[],[s2099,s2069,s2261,s1092,s2101,s1360,s2095,s1405,s1410,s2048,s1219,s2339]) ).
cnf(s2347,plain,
( spl2_240
| ~ spl2_232
| ~ spl2_300 ),
inference(rat,[],[s2069,s1226,s2099]) ).
cnf(s2348,plain,
( ~ spl2_240
| spl2_41
| spl2_274
| ~ spl2_231
| ~ spl2_153
| ~ spl2_13 ),
inference(rat,[],[s1915,s1237,s1735]) ).
cnf(s2349,plain,
( spl2_293
| ~ spl2_282
| ~ spl2_233
| ~ spl2_238
| spl2_246
| ~ spl2_302
| spl2_305
| spl2_154
| spl2_178
| spl2_226 ),
inference(rat,[],[s1632,s1671,s2254,s1618,s2213,s1982,s1897,s2339]) ).
cnf(s2350,plain,
( spl2_240
| spl2_251
| ~ spl2_231
| ~ spl2_158
| spl2_154
| spl2_178
| spl2_32
| ~ spl2_330
| spl2_226
| spl2_19
| spl2_258
| spl2_243
| ~ spl2_39 ),
inference(rat,[],[s2213,s2254,s1151,s1671,s1532,s1667,s2216,s1563,s2063,s2158,s1894,s2349,s1157,s2149,s1360,s2046,s1422,s2023,s1606,s2185,s1611,s1396,s1655,s1226,s1377,s1650,s608,s1627,s2339]) ).
cnf(s2351,plain,
( ~ spl2_231
| spl2_122
| ~ spl2_170
| ~ spl2_158
| spl2_154
| spl2_178
| spl2_157
| ~ spl2_153
| spl2_32
| ~ spl2_330
| spl2_226
| spl2_19
| ~ spl2_13
| spl2_258
| spl2_243
| ~ spl2_39 ),
inference(rat,[],[s2348,s1063,s1237,s2350,s1553,s2226]) ).
cnf(s2352,plain,
( ~ spl2_140
| spl2_341
| spl2_32
| ~ spl2_330
| spl2_226
| spl2_19
| ~ spl2_13
| spl2_102
| spl2_258
| spl2_243
| ~ spl2_166
| ~ spl2_82
| spl2_85
| ~ spl2_37
| ~ spl2_39
| ~ spl2_127 ),
inference(rat,[],[s2096,s2347,s2095,s2346,s2048,s2351,s1699,s1780,s1922,s1219,s524,s860,s643,s2098,s430,s2331,s2339]) ).
cnf(s2353,plain,
( ~ spl2_124
| spl2_19
| ~ spl2_13
| spl2_143
| ~ spl2_9
| ~ spl2_12
| ~ spl2_139
| spl2_102
| spl2_258
| spl2_243
| ~ spl2_166
| spl2_55
| ~ spl2_82
| spl2_85
| spl2_5
| ~ spl2_37
| spl2_21
| ~ spl2_39
| ~ spl2_127
| ~ spl2_126 ),
inference(rat,[],[s1487,s1323,s2257,s2064,s2352,s1387,s2344,s605,s1483,s2345,s1872,s1762,s2231,s504,s2194,s430,s360,s2331,s2196]) ).
cnf(s2354,plain,
( ~ spl2_153
| ~ spl2_123
| spl2_19
| spl2_102
| ~ spl2_166
| ~ spl2_82
| ~ spl2_37 ),
inference(rat,[],[s1325,s1780,s1689,s524,s517,s643,s2339]) ).
cnf(s2355,plain,
( ~ spl2_166
| spl2_55
| ~ spl2_82
| spl2_5
| ~ spl2_37
| ~ spl2_38
| spl2_62
| ~ spl2_127
| ~ spl2_126
| spl2_14 ),
inference(rat,[],[s611,s757,s897,s692,s2019,s2354,s1718,s690,s2353,s1905,s1294,s1441,s392,s6,s7,s41,s395,s1257,s2343,s543,s1026,s1847,s362,s760,s1370,s2139,s1281,s501,s1353,s2174,s50,s1745,s254,s430,s360,s2331,s2196,s688]) ).
cnf(s2356,plain,
( spl2_55
| ~ spl2_37
| ~ spl2_43
| ~ spl2_127
| spl2_14
| spl2_130 ),
inference(rat,[],[s755,s1718,s690,s2340,s2097,s2355,s691,s2056,s50,s256,s2341,s1404,s162,s688]) ).
cnf(s2357,plain,
( ~ spl2_153
| ~ spl2_154
| ~ spl2_82
| ~ spl2_37 ),
inference(rat,[],[s524,s643]) ).
cnf(s2358,plain,
( ~ spl2_124
| ~ spl2_162
| ~ spl2_152
| ~ spl2_82
| ~ spl2_37 ),
inference(rat,[],[s2064,s2098,s439,s2357,s610,s632]) ).
cnf(s2359,plain,
( ~ spl2_122
| spl2_145
| ~ spl2_123
| spl2_213
| ~ spl2_166
| ~ spl2_39 ),
inference(rat,[],[s611,s1393,s897]) ).
cnf(s2360,plain,
( ~ spl2_37
| ~ spl2_43
| ~ spl2_127
| spl2_14
| spl2_130 ),
inference(rat,[],[s860,s2098,s2198,s526,s692,s2359,s1551,s690,s2358,s1370,s511,s2250,s2356,s360,s430,s2331,s162,s254,s691,s2056,s256,s501,s2174,s2341,s50,s2339,s688]) ).
cnf(s2361,plain,
( ~ spl2_43
| ~ spl2_127
| spl2_14
| spl2_130 ),
inference(rat,[],[s1294,s2013,s1904,s2136,s568,s2162,s1441,s1364,s2276,s6,s1289,s31,s171,s2360,s2341,s1281,s691,s2056,s50,s2339,s688]) ).
cnf(s2362,plain,
( ~ spl2_127
| spl2_14
| spl2_130 ),
inference(rat,[],[s1789,s2015,s2174,s459,s1353,s2171,s42,s2361,s691,s2056,s50,s2339,s688]) ).
cnf(s2363,plain,
( ~ spl2_138
| ~ spl2_178
| ~ spl2_43
| spl2_144 ),
inference(rat,[],[s848,s847]) ).
cnf(s2364,plain,
( ~ spl2_279
| spl2_102
| ~ spl2_134
| ~ spl2_162
| spl2_50
| ~ spl2_43 ),
inference(rat,[],[s1239,s1917]) ).
cnf(s2365,plain,
( ~ spl2_124
| ~ spl2_37
| ~ spl2_43
| spl2_14
| spl2_130 ),
inference(rat,[],[s2020,s2187,s2195,s2130,s2259,s1076,s2364,s2146,s392,s6,s1416,s41,s119,s1256,s2123,s763,s2197,s614,s2363,s1417,s2189,s746,s2064,s2121,s1275,s439,s998,s543,s430,s2357,s362,s2358,s610,s760,s2139,s2250,s2193,s2097,s1277,s691,s2056,s50,s596,s2362,s1189,s162,s1361,s1404,s1745,s254,s256,s2339,s688]) ).
cnf(s2366,plain,
( spl2_240
| spl2_251
| ~ spl2_122
| spl2_226
| ~ spl2_300
| spl2_313
| ~ spl2_55 ),
inference(rat,[],[s2048,s1142,s2347,s1173,s954,s773,s2110,s2339]) ).
cnf(s2367,plain,
( ~ spl2_166
| ~ spl2_153
| ~ spl2_123
| ~ spl2_37
| ~ spl2_43
| spl2_127
| ~ spl2_126
| spl2_14 ),
inference(rat,[],[s967,s1242,s1148,s1121,s2366,s2276,s41,s1258,s2145,s1314,s1059,s1783,s416,s543,s1677,s1216,s837,s1370,s2139,s50,s1182,s1219,s2235,s1646,s517,s878,s692,s2198,s2250,s360,s844,s887,s1189,s596,s2204,s610,s2357,s162,s1323,s860,s254,s256,s2339,s688]) ).
cnf(s2368,plain,
( ~ spl2_153
| ~ spl2_123
| ~ spl2_37
| ~ spl2_43
| spl2_127
| ~ spl2_126
| spl2_14 ),
inference(rat,[],[s1381,s1338,s1993,s2340,s2367,s692,s2198,s860,s596,s254,s256,s688,s2339]) ).
cnf(s2369,plain,
( ~ spl2_240
| ~ spl2_19
| ~ spl2_168
| ~ spl2_37
| spl2_62 ),
inference(rat,[],[s967,s1242,s1148,s1121]) ).
cnf(s2370,plain,
( spl2_240
| ~ spl2_231
| spl2_251
| ~ spl2_122
| spl2_313
| ~ spl2_55 ),
inference(rat,[],[s1142,s1173,s954,s773,s2110,s2339]) ).
cnf(s2371,plain,
( spl2_10
| spl2_138
| spl2_170
| spl2_150
| spl2_40
| spl2_14 ),
inference(rat,[],[s832,s782,s392,s2276]) ).
cnf(s2372,plain,
( ~ spl2_11
| spl2_187
| ~ spl2_126 ),
inference(rat,[],[s568,s2013,s1256,s1257]) ).
cnf(s2373,plain,
( spl2_134
| spl2_10
| spl2_213
| ~ spl2_166
| spl2_153
| ~ spl2_123
| ~ spl2_37
| ~ spl2_43
| spl2_127
| spl2_14 ),
inference(rat,[],[s2191,s611,s1587,s1243,s2273,s2369,s2371,s2370,s2048,s2104,s1059,s999,s897,s1647,s692,s2003,s2250,s2098,s360,s430,s596,s1745,s254,s256,s1182,s642,s2285,s543,s416,s837,s50,s2276,s2339,s688]) ).
cnf(s2374,plain,
( ~ spl2_166
| ~ spl2_123
| ~ spl2_37
| ~ spl2_43
| spl2_127
| ~ spl2_126
| spl2_14 ),
inference(rat,[],[s692,s2198,s897,s1263,s2371,s1728,s2048,s2069,s1140,s1092,s2364,s2250,s1273,s1692,s998,s1275,s593,s2373,s1441,s6,s41,s2372,s416,s543,s837,s1370,s2139,s50,s596,s1189,s1361,s1404,s1745,s254,s256,s2368,s688,s2339]) ).
cnf(s2375,plain,
( ~ spl2_121
| ~ spl2_19
| spl2_169
| spl2_62
| ~ spl2_55 ),
inference(rat,[],[s862,s864,s2052,s2198,s2339]) ).
cnf(s2376,plain,
( ~ spl2_37
| ~ spl2_43
| spl2_14
| spl2_130 ),
inference(rat,[],[s1267,s1235,s2371,s834,s692,s2375,s416,s2276,s362,s41,s762,s2372,s28,s2136,s511,s2340,s1491,s2374,s642,s2368,s690,s2365,s1745,s254,s1404,s2285,s691,s2056,s50,s596,s2362,s256,s688,s2339]) ).
cnf(s2377,plain,
( ~ spl2_124
| spl2_150
| spl2_5
| spl2_38
| ~ spl2_19
| ~ spl2_13
| ~ spl2_43
| spl2_127
| spl2_130 ),
inference(rat,[],[s2363,s1263,s2189,s2064,s398,s746,s781,s2147,s745,s2193,s2097,s1277,s256]) ).
cnf(s2378,plain,
( ~ spl2_153
| spl2_174
| ~ spl2_123
| ~ spl2_22
| spl2_50 ),
inference(rat,[],[s845,s887]) ).
cnf(s2379,plain,
( ~ spl2_166
| ~ spl2_123
| spl2_129
| ~ spl2_19
| ~ spl2_22
| ~ spl2_13
| ~ spl2_56
| ~ spl2_45
| ~ spl2_43
| ~ spl2_55
| ~ spl2_151 ),
inference(rat,[],[s835,s692,s1263,s1428,s2375,s868,s642,s2378,s1692,s745,s256,s1188,s739,s688]) ).
cnf(s2380,plain,
( ~ spl2_121
| ~ spl2_273
| ~ spl2_19
| spl2_62
| ~ spl2_55 ),
inference(rat,[],[s2008,s2375]) ).
cnf(s2381,plain,
( ~ spl2_43
| spl2_14
| spl2_130 ),
inference(rat,[],[s1267,s1235,s2371,s834,s692,s2380,s1643,s2379,s793,s690,s2377,s416,s362,s762,s843,s1364,s2170,s568,s2013,s459,s2136,s2162,s782,s653,s1441,s2276,s6,s1777,s1289,s31,s171,s2376,s256,s2285,s691,s2056,s50,s596,s2362,s688,s2339]) ).
cnf(s2382,plain,
( ~ spl2_140
| spl2_251
| spl2_253
| spl2_313
| ~ spl2_177
| spl2_131
| spl2_240
| ~ spl2_37
| spl2_102
| spl2_62
| ~ spl2_19
| ~ spl2_55
| ~ spl2_151 ),
inference(rat,[],[s692,s2375,s2370,s642,s2048,s860,s2095,s2189,s2237,s254,s688]) ).
cnf(s2383,plain,
( ~ spl2_37
| spl2_10
| spl2_43
| spl2_127
| spl2_14 ),
inference(rat,[],[s862,s2371,s864,s1228,s875,s1427,s692,s2003,s2382,s1049,s1088,s2159,s763,s1181,s1917,s885,s1776,s746,s1273,s1973,s1745,s650,s2369,s254,s2285,s1286,s255,s2276,s1847,s543,s416,s362,s762,s842,s26,s2174,s1353,s42,s2171,s50,s1188,s495,s38,s596,s688,s2339]) ).
cnf(s2384,plain,
( ~ spl2_279
| ~ spl2_153
| spl2_226
| ~ spl2_140
| ~ spl2_134
| spl2_50
| spl2_102 ),
inference(rat,[],[s2048,s2095,s1937,s2159,s1917]) ).
cnf(s2385,plain,
( ~ spl2_169
| spl2_41
| spl2_143
| spl2_226
| ~ spl2_140
| ~ spl2_134
| spl2_50
| spl2_102
| ~ spl2_13
| spl2_5
| spl2_62
| ~ spl2_19
| spl2_43
| ~ spl2_151 ),
inference(rat,[],[s2348,s2048,s1907,s1857,s941,s1242,s2264,s1121,s2164,s1972,s1092,s2384,s642,s42,s2339]) ).
cnf(s2386,plain,
( ~ spl2_124
| spl2_14
| spl2_130 ),
inference(rat,[],[s1228,s1427,s692,s2375,s2385,s848,s1263,s392,s2189,s2237,s825,s2064,s707,s763,s398,s746,s686,s781,s2147,s745,s2250,s2193,s2097,s1277,s2285,s255,s1949,s1441,s6,s543,s416,s362,s762,s842,s26,s2174,s1353,s42,s1188,s495,s38,s41,s2372,s2136,s2171,s691,s2056,s50,s2381,s596,s2362,s688,s2339]) ).
cnf(s2387,plain,
( ~ spl2_121
| ~ spl2_123
| spl2_50
| spl2_62
| ~ spl2_19
| ~ spl2_22
| ~ spl2_55
| ~ spl2_151 ),
inference(rat,[],[s2378,s1927,s642,s864,s2375,s2198,s2339]) ).
cnf(s2388,plain,
( spl2_14
| spl2_130 ),
inference(rat,[],[s2146,s1263,s1499,s868,s834,s1338,s692,s2387,s690,s2386,s2383,s1381,s1188,s1993,s495,s1441,s38,s6,s842,s255,s41,s26,s2372,s2174,s2136,s1353,s2171,s1286,s42,s2381,s596,s2362,s691,s2056,s50,s2285,s2339,s688]) ).
cnf(s2389,plain,
( ~ spl2_153
| ~ spl2_82
| ~ spl2_37
| spl2_150
| spl2_19
| ~ spl2_14 ),
inference(rat,[],[s1783,s1559,s2357,s887,s1189,s2339]) ).
cnf(s2390,plain,
( ~ spl2_37
| spl2_150
| spl2_19
| ~ spl2_124
| ~ spl2_127
| ~ spl2_43
| ~ spl2_14 ),
inference(rat,[],[s2064,s2098,s439,s2389,s430,s2331,s162]) ).
cnf(s2391,plain,
( ~ spl2_153
| ~ spl2_138
| spl2_32
| spl2_42
| spl2_50
| ~ spl2_79
| spl2_102
| ~ spl2_39
| ~ spl2_43
| ~ spl2_14 ),
inference(rat,[],[s2363,s611,s1922,s1559,s1797,s887,s2339]) ).
cnf(s2392,plain,
( spl2_19
| ~ spl2_124
| ~ spl2_127
| ~ spl2_43
| spl2_130 ),
inference(rat,[],[s611,s1351,s1344,s2363,s692,s868,s2019,s2391,s614,s2197,s395,s68,s2013,s620,s568,s189,s1364,s653,s1289,s171,s2390,s6,s416,s543,s41,s362,s2372,s1756,s760,s2139,s2334,s691,s2056,s51,s21,s1243,s2388,s1277,s2097,s688,s2339]) ).
cnf(s2393,plain,
( ~ spl2_37
| ~ spl2_19
| spl2_62
| ~ spl2_14 ),
inference(rat,[],[s160,s254]) ).
cnf(s2394,plain,
( spl2_56
| ~ spl2_153
| ~ spl2_22
| spl2_174
| ~ spl2_124
| ~ spl2_43 ),
inference(rat,[],[s2255,s2189,s1323,s2378,s2363,s419,s614,s2231,s2197,s395,s1277,s746,s2188,s2339]) ).
cnf(s2395,plain,
( ~ spl2_56
| spl2_37
| spl2_174
| ~ spl2_166
| ~ spl2_43
| ~ spl2_14 ),
inference(rat,[],[s2013,s2139,s568,s1758,s2169,s741,s739,s688,s2339]) ).
cnf(s2396,plain,
( ~ spl2_124
| ~ spl2_127
| ~ spl2_43
| spl2_130 ),
inference(rat,[],[s2363,s868,s614,s2394,s2197,s2395,s653,s6,s31,s171,s2393,s2188,s745,s2392,s2097,s1277,s2388,s256,s2339]) ).
cnf(s2397,plain,
( ~ spl2_153
| spl2_102
| ~ spl2_82
| ~ spl2_37
| spl2_19
| ~ spl2_14 ),
inference(rat,[],[s1559,s1780,s887,s2357,s1189,s2339]) ).
cnf(s2398,plain,
( ~ spl2_122
| ~ spl2_161
| ~ spl2_126
| ~ spl2_39
| ~ spl2_123 ),
inference(rat,[],[s1192,s1267,s611,s735,s496]) ).
cnf(s2399,plain,
( spl2_19
| spl2_55
| ~ spl2_123
| ~ spl2_43
| spl2_130 ),
inference(rat,[],[s1853,s2363,s2052,s611,s1559,s887,s419,s2017,s2019,s531,s692,s2398,s2196,s691,s2056,s51,s21,s608,s1243,s2388,s395,s6,s41,s1257,s755,s1718,s688,s2339]) ).
cnf(s2400,plain,
( spl2_33
| ~ spl2_153
| spl2_55
| ~ spl2_127
| ~ spl2_43
| spl2_130 ),
inference(rat,[],[s1922,s1417,s543,s611,s362,s28,s1559,s1589,s1797,s68,s1524,s1756,s887,s660,s459,s1933,s187,s666,s691,s119,s2056,s1289,s2393,s256,s2388,s1198,s1586,s1811,s2399,s755,s1718,s690,s2396,s2339,s688]) ).
cnf(s2401,plain,
( ~ spl2_153
| spl2_55
| ~ spl2_127
| ~ spl2_43
| spl2_130 ),
inference(rat,[],[s1689,s1325,s1962,s1964,s49,s2400,s517,s690,s2396,s688]) ).
cnf(s2402,plain,
( spl2_55
| ~ spl2_127
| ~ spl2_43
| spl2_130 ),
inference(rat,[],[s154,s119,s69,s28,s49,s848,s611,s1964,s1297,s2205,s862,s757,s864,s692,s868,s2019,s2401,s653,s1198,s171,s1586,s2393,s1811,s2399,s6,s41,s395,s1257,s755,s1718,s2388,s256,s690,s2396,s688]) ).
cnf(s2403,plain,
( ~ spl2_121
| ~ spl2_55
| ~ spl2_123
| ~ spl2_127 ),
inference(rat,[],[s1417,s1524,s2204,s751,s639,s2198,s531,s2339]) ).
cnf(s2404,plain,
( spl2_19
| ~ spl2_55
| ~ spl2_123
| ~ spl2_127
| spl2_130 ),
inference(rat,[],[s2359,s1551,s1370,s691,s2056,s51,s21,s1243,s1734,s2110,s692,s2403,s688,s2339]) ).
cnf(s2405,plain,
( ~ spl2_127
| ~ spl2_43
| spl2_130 ),
inference(rat,[],[s2013,s2136,s1758,s1761,s568,s1701,s2169,s1499,s741,s834,s739,s495,s1289,s2393,s2404,s692,s2403,s2402,s690,s2396,s2388,s256,s688,s2339]) ).
cnf(s2406,plain,
( ~ spl2_37
| ~ spl2_153
| spl2_102
| spl2_19
| ~ spl2_43
| ~ spl2_14 ),
inference(rat,[],[s2397,s162]) ).
cnf(s2407,plain,
( spl2_37
| spl2_187
| ~ spl2_126
| spl2_127
| ~ spl2_43
| ~ spl2_14 ),
inference(rat,[],[s2169,s568,s741,s2013,s739,s1777,s2339]) ).
cnf(s2408,plain,
( ~ spl2_134
| spl2_50
| ~ spl2_166
| ~ spl2_14 ),
inference(rat,[],[s883,s2051]) ).
cnf(s2409,plain,
( ~ spl2_238
| ~ spl2_253
| ~ spl2_123
| ~ spl2_122 ),
inference(rat,[],[s958,s987]) ).
cnf(s2410,plain,
( ~ spl2_231
| ~ spl2_165
| ~ spl2_154
| spl2_251
| spl2_226
| ~ spl2_123
| ~ spl2_122
| ~ spl2_162
| ~ spl2_37
| ~ spl2_55
| spl2_62 ),
inference(rat,[],[s1078,s1091,s2259,s2409,s1098,s2261,s1148,s1976,s1121,s2006,s2370,s1182]) ).
cnf(s2411,plain,
( ~ spl2_279
| ~ spl2_330
| spl2_143
| spl2_50
| spl2_19
| ~ spl2_14 ),
inference(rat,[],[s1917,s1741,s2339]) ).
cnf(s2412,plain,
( spl2_19
| ~ spl2_43
| spl2_130 ),
inference(rat,[],[s2069,s1140,s1092,s2411,s2048,s2410,s1546,s1930,s119,s1263,s614,s1692,s2363,s751,s1780,s611,s1057,s1922,s2031,s897,s1647,s1677,s690,s692,s686,s2064,s2003,s2250,s2098,s360,s430,s2408,s392,s439,s1745,s2406,s61,s254,s1189,s2407,s416,s543,s41,s362,s2372,s760,s1370,s2139,s691,s2056,s51,s21,s1243,s1734,s2388,s256,s2110,s596,s2405,s2339,s688]) ).
cnf(s2413,plain,
( ~ spl2_166
| ~ spl2_56
| ~ spl2_19
| ~ spl2_43
| ~ spl2_14 ),
inference(rat,[],[s2395,s745,s2393,s256]) ).
cnf(s2414,plain,
( ~ spl2_43
| spl2_130 ),
inference(rat,[],[s28,s49,s511,s1962,s2413,s741,s739,s1777,s2393,s2412,s596,s2405,s256,s2388,s2339]) ).
cnf(s2415,plain,
( ~ spl2_153
| ~ spl2_79
| spl2_102
| spl2_32
| spl2_42
| ~ spl2_37
| spl2_19
| ~ spl2_14 ),
inference(rat,[],[s254,s1492,s860,s1780,s1922,s1559,s1797,s887,s1189,s2339]) ).
cnf(s2416,plain,
( ~ spl2_124
| spl2_55
| spl2_337
| ~ spl2_37
| ~ spl2_38
| spl2_19
| spl2_130 ),
inference(rat,[],[s2064,s2098,s439,s2415,s1364,s38,s543,s41,s2344,s362,s2372,s1776,s430,s1373,s760,s2139,s2408,s2097,s2388,s2414,s691,s2056,s51,s21,s1189,s2339,s688]) ).
cnf(s2417,plain,
( ~ spl2_153
| ~ spl2_121
| ~ spl2_37
| spl2_19
| ~ spl2_14 ),
inference(rat,[],[s254,s860,s1492,s1853,s610,s2052,s611,s1559,s887,s1243,s608,s1189,s2339]) ).
cnf(s2418,plain,
( spl2_55
| ~ spl2_37
| ~ spl2_127
| spl2_19
| spl2_130 ),
inference(rat,[],[s1417,s1524,s2204,s751,s1765,s868,s2417,s531,s692,s2398,s690,s2416,s2196,s42,s1286,s2414,s1243,s1756,s2334,s691,s2056,s51,s21,s2388,s2210,s688,s2339]) ).
cnf(s2419,plain,
( ~ spl2_37
| ~ spl2_127
| spl2_19
| spl2_130 ),
inference(rat,[],[s2250,s686,s360,s2408,s1734,s2418,s1189,s2388,s2106,s42,s2414]) ).
cnf(s2420,plain,
( spl2_279
| spl2_283
| spl2_43 ),
inference(rat,[],[s2264,s2261,s2164,s1972,s1092,s42,s2339]) ).
cnf(s2421,plain,
( ~ spl2_232
| spl2_129
| ~ spl2_169
| ~ spl2_140
| spl2_102
| spl2_50
| ~ spl2_127
| spl2_130 ),
inference(rat,[],[s1754,s1917,s2420,s2101,s1856,s2095,s2388,s2414]) ).
cnf(s2422,plain,
( spl2_279
| ~ spl2_231
| ~ spl2_154
| spl2_43 ),
inference(rat,[],[s1976,s2006,s2420,s1972,s2339]) ).
cnf(s2423,plain,
( ~ spl2_231
| ~ spl2_154
| ~ spl2_153
| spl2_50
| spl2_43 ),
inference(rat,[],[s1937,s1917,s2422]) ).
cnf(s2424,plain,
( ~ spl2_153
| spl2_32
| ~ spl2_124
| ~ spl2_127
| spl2_19
| spl2_130 ),
inference(rat,[],[s1754,s1917,s1973,s2096,s2421,s1856,s2095,s2048,s2423,s2052,s692,s1487,s1483,s2064,s841,s398,s1780,s611,s777,s1922,s1559,s1797,s887,s1243,s1847,s543,s416,s362,s1589,s660,s666,s1776,s2414,s2245,s2013,s2139,s568,s1364,s614,s2194,s2408,s2097,s189,s1289,s1756,s2334,s691,s2056,s51,s21,s2388,s6,s31,s2419,s2339,s688]) ).
cnf(s2425,plain,
( ~ spl2_124
| spl2_55
| ~ spl2_127
| spl2_19
| spl2_130 ),
inference(rat,[],[s2064,s2098,s439,s2424,s2344,s1776,s430,s2408,s2097,s2414,s189,s1289,s2419,s1756,s2334,s691,s2056,s51,s21,s2388,s2339,s688]) ).
cnf(s2426,plain,
( ~ spl2_153
| spl2_55
| ~ spl2_127
| spl2_19
| spl2_130 ),
inference(rat,[],[s1927,s864,s1853,s1492,s2052,s1780,s1559,s2378,s887,s1286,s2414,s608,s189,s543,s362,s1589,s660,s666,s1364,s1289,s2419,s1756,s2334,s2388,s692,s2398,s690,s2425,s1243,s2196,s691,s2056,s51,s21,s2339,s688]) ).
cnf(s2427,plain,
( spl2_55
| ~ spl2_127
| spl2_19
| spl2_130 ),
inference(rat,[],[s1417,s1524,s2204,s751,s1765,s868,s2426,s531,s692,s2398,s690,s2425,s2196,s42,s1286,s2414,s1243,s691,s2056,s51,s21,s688,s2339]) ).
cnf(s2428,plain,
( ~ spl2_127
| spl2_19
| spl2_130 ),
inference(rat,[],[s2013,s2139,s495,s1734,s2427,s568,s1364,s1289,s2419,s1756,s2334,s2388,s2106,s42,s2414,s691,s2056,s51,s21,s2339,s688]) ).
cnf(s2429,plain,
( spl2_19
| spl2_130 ),
inference(rat,[],[s2250,s686,s360,s2408,s1188,s495,s38,s41,s2372,s2139,s1491,s596,s2428,s691,s2056,s51,s21,s2388,s42,s2414,s688,s2339]) ).
cnf(s2430,plain,
( ~ spl2_37
| ~ spl2_153
| spl2_130 ),
inference(rat,[],[s28,s49,s611,s1964,s610,s1559,s255,s1492,s887,s2393,s1189,s2388,s2429]) ).
cnf(s2431,plain,
( spl2_50
| ~ spl2_153
| spl2_55
| ~ spl2_127
| spl2_130 ),
inference(rat,[],[s360,s2257,s844,s2398,s2255,s2421,s2104,s398,s2048,s777,s2423,s416,s543,s610,s2031,s362,s611,s1797,s1589,s501,s69,s2174,s1364,s70,s1756,s2196,s2334,s459,s691,s2056,s49,s1964,s1559,s887,s2388,s2414,s2429,s1289,s2430,s688,s2339]) ).
cnf(s2432,plain,
( ~ spl2_153
| spl2_55
| ~ spl2_127
| spl2_130 ),
inference(rat,[],[s619,s358,s691,s2334,s1756,s2288,s189,s187,s1188,s2431,s1289,s2430,s2388,s688,s2339]) ).
cnf(s2433,plain,
( spl2_153
| ~ spl2_127
| spl2_130 ),
inference(rat,[],[s1776,s2408,s745,s2097,s189,s690,s1756,s1524,s2334,s459,s691,s2056,s49,s1964,s1289,s1261,s2393,s2147,s1492,s841,s1417,s610,s2204,s1765,s868,s439,s2388,s42,s1286,s2414,s2429,s2339,s688]) ).
cnf(s2434,plain,
( ~ spl2_127
| spl2_130 ),
inference(rat,[],[s1364,s568,s1756,s2013,s2334,s2136,s691,s2056,s49,s1964,s1559,s887,s1188,s495,s1289,s2432,s2430,s2433,s2388,s2429,s688,s2339]) ).
cnf(s2435,plain,
( ~ spl2_153
| spl2_130 ),
inference(rat,[],[s1776,s2408,s745,s1643,s2380,s255,s692,s2170,s1338,s568,s1381,s2013,s1993,s2136,s691,s2056,s49,s1964,s1559,s887,s1188,s1777,s2430,s2388,s2414,s2429,s596,s2434,s2339,s688]) ).
cnf(s2436,plain,
( ~ spl2_166
| spl2_130 ),
inference(rat,[],[s1776,s2408,s745,s1188,s1777,s2393,s1492,s610,s2204,s1765,s42,s2414,s439,s2435,s2429,s2388,s2434,s2339]) ).
cnf(s2437,plain,
spl2_130,
inference(rat,[],[s834,s692,s690,s2380,s2097,s1643,s2436,s1263,s119,s568,s2013,s2136,s691,s2056,s49,s1777,s1964,s2393,s1261,s1492,s2147,s841,s610,s2204,s1765,s868,s439,s2435,s596,s2434,s2429,s1286,s42,s2414,s2388,s688,s2339]) ).
cnf(s2438,plain,
( ~ spl2_37
| ~ spl2_195
| ~ spl2_43 ),
inference(rat,[],[s1361,s1404]) ).
cnf(s2439,plain,
( spl2_19
| spl2_14 ),
inference(rat,[],[s2276,s2162,s31,s171,s2438,s1275,s1978,s2171,s608,s1495,s2285,s2437,s2339]) ).
cnf(s2440,plain,
( ~ spl2_37
| ~ spl2_43
| ~ spl2_127
| ~ spl2_134 ),
inference(rat,[],[s2331,s162]) ).
cnf(s2441,plain,
( ~ spl2_126
| ~ spl2_170
| ~ spl2_13
| ~ spl2_127
| spl2_14 ),
inference(rat,[],[s724,s1353,s1294,s2174,s1904,s895,s1281,s50,s1495,s2285,s2439,s2437]) ).
cnf(s2442,plain,
( ~ spl2_166
| ~ spl2_171
| spl2_126
| ~ spl2_43
| ~ spl2_19 ),
inference(rat,[],[s1758,s2144,s745,s256,s863,s688,s2339]) ).
cnf(s2443,plain,
( ~ spl2_171
| spl2_126
| ~ spl2_43
| spl2_14 ),
inference(rat,[],[s732,s707,s2340,s2442,s1495,s2285,s2439,s2437]) ).
cnf(s2444,plain,
( ~ spl2_124
| ~ spl2_153
| ~ spl2_43
| ~ spl2_127
| spl2_14 ),
inference(rat,[],[s892,s644,s26,s632,s1515,s2250,s2105,s2443,s691,s2441,s635,s1277,s863,s2439,s1441,s6,s31,s2440,s1495,s2285,s688,s2437]) ).
cnf(s2445,plain,
( ~ spl2_153
| ~ spl2_43
| ~ spl2_127
| spl2_14 ),
inference(rat,[],[s1188,s1198,s887,s1586,s844,s690,s2444,s1811,s2439,s1441,s6,s31,s2440,s1495,s2285,s688,s2437]) ).
cnf(s2446,plain,
( ~ spl2_43
| ~ spl2_127
| spl2_14 ),
inference(rat,[],[s2191,s854,s1587,s1246,s1804,s2048,s692,s690,s2104,s2052,s635,s862,s864,s998,s642,s868,s2445,s653,s6,s1289,s31,s171,s2440,s256,s1495,s2285,s2439,s688,s2437,s2339]) ).
cnf(s2447,plain,
( ~ spl2_37
| ~ spl2_153
| spl2_62
| spl2_14 ),
inference(rat,[],[s2340,s650,s745,s746,s2189,s2064,s690,s1323,s844,s860,s887,s254,s1189,s1495,s2285,s2439,s688,s2437]) ).
cnf(s2448,plain,
( ~ spl2_166
| ~ spl2_171
| ~ spl2_32
| ~ spl2_134 ),
inference(rat,[],[s2144,s2121]) ).
cnf(s2449,plain,
( ~ spl2_174
| ~ spl2_124
| spl2_166
| ~ spl2_153
| ~ spl2_127
| spl2_14 ),
inference(rat,[],[s2096,s2101,s2095,s2048,s2348,s1907,s941,s2264,s2420,s2164,s1972,s1092,s2384,s2257,s1338,s1382,s622,s1495,s2285,s543,s362,s762,s842,s2439,s2340,s449,s1962,s1441,s6,s31,s2447,s255,s26,s2174,s1353,s42,s2446,s50,s1277,s993,s635,s2339,s2437]) ).
cnf(s2450,plain,
( ~ spl2_124
| spl2_166
| ~ spl2_153
| ~ spl2_127
| spl2_14 ),
inference(rat,[],[s2064,s2189,s1323,s1261,s2147,s2188,s746,s2449,s635,s842,s26,s2174,s1353,s42,s2446,s50,s2439,s2339,s2437]) ).
cnf(s2451,plain,
( spl2_166
| ~ spl2_153
| ~ spl2_127
| spl2_14 ),
inference(rat,[],[s690,s2450,s844,s887,s449,s1962,s1495,s2285,s1441,s6,s31,s2447,s255,s26,s2174,s1353,s42,s2446,s50,s688,s2437]) ).
cnf(s2452,plain,
( ~ spl2_153
| ~ spl2_127
| spl2_14 ),
inference(rat,[],[s644,s738,s2188,s635,s690,s2378,s1188,s495,s2105,s2448,s745,s2451,s1289,s2447,s1495,s2285,s2439,s1286,s255,s26,s2174,s1353,s42,s2446,s50,s2339,s2437,s688]) ).
cnf(s2453,plain,
( ~ spl2_127
| spl2_14 ),
inference(rat,[],[s1524,s751,s690,s635,s1417,s862,s2204,s864,s1765,s868,s439,s2452,s255,s26,s2174,s1353,s1286,s42,s2446,s50,s2439,s688,s2437,s2339]) ).
cnf(s2454,plain,
( spl2_188
| spl2_37
| ~ spl2_167
| ~ spl2_170
| spl2_14 ),
inference(rat,[],[s511,s2123,s28,s2169,s892,s50,s596,s763,s1777,s2453,s1495,s2285,s2339,s2437]) ).
cnf(s2455,plain,
( ~ spl2_124
| ~ spl2_153
| spl2_14 ),
inference(rat,[],[s1393,s750,s692,s28,s2380,s511,s1643,s2121,s2454,s2447,s1492,s644,s610,s2193,s635,s1277,s50,s1495,s2285,s2439,s596,s2453,s688,s2437]) ).
cnf(s2456,plain,
( ~ spl2_50
| spl2_127 ),
inference(rat,[],[s1777,s1188,s1189,s2339]) ).
cnf(s2457,plain,
( ~ spl2_153
| spl2_14 ),
inference(rat,[],[s844,s690,s887,s2455,s1495,s2285,s2456,s2453,s688,s2437]) ).
cnf(s2458,plain,
( ~ spl2_124
| spl2_14 ),
inference(rat,[],[s1701,s1494,s692,s2375,s1492,s610,s2193,s635,s1277,s2439,s596,s2453,s642,s2457,s2285,s688,s2437]) ).
cnf(s2459,plain,
( ~ spl2_43
| ~ spl2_170
| spl2_14 ),
inference(rat,[],[s2369,s1297,s2276,s2366,s1393,s41,s1050,s750,s1320,s2250,s28,s763,s877,s1219,s358,s543,s511,s2340,s862,s691,s1435,s764,s879,s1192,s1246,s1267,s1427,s692,s2375,s256,s50,s1181,s2439,s2110,s596,s883,s2456,s2453,s642,s998,s2457,s1495,s2285,s690,s2458,s688,s2437]) ).
cnf(s2460,plain,
( ~ spl2_170
| spl2_14 ),
inference(rat,[],[s2147,s841,s1261,s2204,s868,s1765,s1286,s42,s2459,s2439,s439,s2457,s2339]) ).
cnf(s2461,plain,
( ~ spl2_166
| ~ spl2_37
| ~ spl2_43
| spl2_14 ),
inference(rat,[],[s1258,s41,s2145,s2371,s1760,s416,s2374,s765,s50,s2453,s1246,s692,s2052,s2460,s642,s2457,s690,s2458,s863,s2439,s1745,s254,s256,s1275,s2438,s1495,s2285,s688,s2339,s2437]) ).
cnf(s2462,plain,
( ~ spl2_37
| ~ spl2_43
| spl2_14 ),
inference(rat,[],[s156,s1260,s1256,s41,s2371,s416,s362,s1789,s762,s2174,s28,s501,s511,s2461,s1745,s254,s1404,s50,s2439,s596,s2453,s1246,s692,s2052,s2460,s642,s2457,s1495,s2285,s690,s2458,s256,s688,s2437]) ).
cnf(s2463,plain,
( spl2_37
| spl2_14 ),
inference(rat,[],[s2146,s1263,s841,s868,s653,s1441,s6,s1297,s1499,s31,s171,s2439,s2110,s596,s2453,s1246,s692,s2052,s2460,s642,s2457,s1495,s2285,s690,s2458,s2339,s688,s2437]) ).
cnf(s2464,plain,
spl2_14,
inference(rat,[],[s2410,s1055,s2250,s550,s1273,s255,s793,s1703,s610,s26,s1257,s2204,s2174,s41,s551,s1765,s1353,s2383,s42,s2462,s2463,s614,s1645,s1246,s2048,s692,s2104,s2052,s2460,s690,s2458,s998,s642,s439,s2457,s2110,s596,s2453,s1495,s50,s2285,s688,s2437]) ).
cnf(s2466,plain,
( ~ spl2_50
| spl2_19 ),
inference(rat,[],[s1197,s2344,s495,s119,s2170,s1289,s187,s1188,s1189,s1978,s608,s51,s21,s688,s2339,s2437]) ).
cnf(s2467,plain,
( ~ spl2_153
| spl2_19 ),
inference(rat,[],[s864,s1927,s1853,s2104,s2048,s2235,s1492,s844,s1703,s610,s690,s611,s635,s1559,s887,s1243,s1978,s608,s2466,s688,s2437,s2464,s2339]) ).
cnf(s2468,plain,
( ~ spl2_292
| ~ spl2_289
| spl2_50 ),
inference(rat,[],[s1564,s1561,s2464]) ).
cnf(s2469,plain,
( ~ spl2_234
| spl2_255
| ~ spl2_301
| spl2_50 ),
inference(rat,[],[s2078,s1151,s1636,s2468,s1883,s1606]) ).
cnf(s2470,plain,
( ~ spl2_235
| spl2_178
| ~ spl2_282
| ~ spl2_233
| ~ spl2_238
| ~ spl2_231
| spl2_305 ),
inference(rat,[],[s1668,s1665,s1669,s1671,s2339]) ).
cnf(s2471,plain,
( ~ spl2_236
| spl2_255
| spl2_246
| ~ spl2_301
| spl2_50 ),
inference(rat,[],[s1564,s1561,s1889,s1151,s1893,s2213,s2464]) ).
cnf(s2472,plain,
( spl2_134
| ~ spl2_170
| ~ spl2_127
| spl2_19 ),
inference(rat,[],[s864,s1927,s2470,s2254,s2471,s2149,s2046,s2469,s1422,s957,s987,s2259,s2048,s2073,s2069,s1140,s1092,s1157,s2411,s392,s1744,s1546,s1930,s119,s41,s1198,s1257,s755,s256,s1627,s42,s1052,s1765,s1718,s1847,s413,s2204,s511,s1643,s991,s1586,s1435,s1393,s897,s1647,s1267,s1551,s692,s690,s2003,s2064,s2098,s360,s430,s1243,s51,s21,s2466,s439,s2467,s1371,s1978,s608,s2464,s2437,s688,s2339]) ).
cnf(s2473,plain,
( ~ spl2_138
| ~ spl2_122
| ~ spl2_170 ),
inference(rat,[],[s1344,s1351,s2464]) ).
cnf(s2474,plain,
( ~ spl2_43
| ~ spl2_124
| spl2_183
| ~ spl2_134
| ~ spl2_170
| ~ spl2_127
| spl2_153 ),
inference(rat,[],[s2473,s692,s614,s2019,s6,s2197,s395,s31,s739,s2440,s1277,s688]) ).
cnf(s2475,plain,
( spl2_56
| ~ spl2_121
| spl2_153 ),
inference(rat,[],[s6,s2019,s41,s395,s1257]) ).
cnf(s2476,plain,
( ~ spl2_231
| spl2_258
| spl2_43
| spl2_226
| spl2_19 ),
inference(rat,[],[s1976,s2261,s2006,s1377,s1821,s2259,s2016,s1422,s2023,s1754,s1917,s1587,s2422,s2191,s1243,s608,s2466,s610,s2204,s1765,s42,s439,s2467,s2339,s2464]) ).
cnf(s2477,plain,
( spl2_279
| ~ spl2_232
| spl2_153 ),
inference(rat,[],[s2069,s1140,s1092]) ).
cnf(s2478,plain,
( spl2_123
| ~ spl2_170
| ~ spl2_127
| spl2_19 ),
inference(rat,[],[s2159,s1917,s2477,s2094,s2048,s2476,s416,s1026,s362,s1589,s2169,s660,s650,s707,s2475,s692,s1487,s1492,s1483,s733,s610,s841,s708,s2204,s868,s1765,s1286,s42,s2474,s2255,s690,s51,s21,s2466,s439,s998,s2467,s740,s731,s2472,s1978,s608,s2464,s2339,s688,s2437]) ).
cnf(s2479,plain,
( ~ spl2_43
| spl2_145
| ~ spl2_123
| spl2_183
| ~ spl2_134
| ~ spl2_127
| spl2_153 ),
inference(rat,[],[s854,s1393,s1246,s692,s2475,s1289,s739,s2440,s688,s2339]) ).
cnf(s2480,plain,
( ~ spl2_170
| ~ spl2_127
| spl2_19 ),
inference(rat,[],[s1755,s610,s1262,s841,s2204,s868,s1765,s1286,s42,s2479,s1551,s2478,s740,s731,s2472,s439,s2467,s1371,s1978,s608,s2339,s2437]) ).
cnf(s2481,plain,
( ~ spl2_127
| spl2_19 ),
inference(rat,[],[s864,s1927,s1853,s2052,s692,s1393,s1492,s1551,s610,s690,s611,s635,s2480,s1371,s1243,s1978,s608,s688,s2437,s2339]) ).
cnf(s2482,plain,
( ~ spl2_32
| spl2_19 ),
inference(rat,[],[s1777,s61,s723,s42,s686,s2250,s360,s596,s2408,s1491,s2481,s2466,s2339,s2464,s688]) ).
cnf(s2483,plain,
spl2_19,
inference(rat,[],[s864,s1927,s1922,s2482,s543,s256,s1699,s837,s42,s692,s690,s686,s2003,s2064,s2250,s2098,s1387,s360,s430,s605,s2408,s1491,s596,s2481,s439,s2467,s2466,s51,s1978,s21,s608,s2339,s688,s2464,s2437]) ).
cnf(s2484,plain,
( ~ spl2_50
| ~ spl2_127 ),
inference(rat,[],[s619,s358,s691,s2334,s1756,s189,s2288,s1289,s187,s1188,s1189,s688,s2464,s2339]) ).
cnf(s2485,plain,
( ~ spl2_153
| ~ spl2_170
| spl2_50 ),
inference(rat,[],[s887,s1559,s2464]) ).
cnf(s2486,plain,
( spl2_62
| spl2_153
| ~ spl2_170 ),
inference(rat,[],[s864,s862,s868,s653,s6,s31,s171,s2393,s2483,s2464]) ).
cnf(s2487,plain,
( ~ spl2_170
| spl2_50 ),
inference(rat,[],[s1765,s2204,s42,s610,s256,s1492,s2486,s439,s2485]) ).
cnf(s2488,plain,
( spl2_39
| ~ spl2_43
| ~ spl2_127 ),
inference(rat,[],[s1933,s666,s119,s1198,s739,s740,s1756,s2007,s2174,s28,s501,s49,s1964,s1586,s690,s635,s2487,s2484,s1811,s2464,s2483,s688,s2437]) ).
cnf(s2489,plain,
( ~ spl2_43
| ~ spl2_153
| ~ spl2_127 ),
inference(rat,[],[s2008,s2104,s692,s2048,s1393,s1703,s611,s2488,s1551,s1643,s1371,s745,s845,s653,s6,s31,s171,s2393,s256,s2235,s844,s887,s690,s635,s2487,s2484,s688,s2483,s2464,s2437]) ).
cnf(s2490,plain,
( ~ spl2_121
| ~ spl2_273
| spl2_170 ),
inference(rat,[],[s2008,s2052]) ).
cnf(s2491,plain,
( spl2_279
| ~ spl2_231
| spl2_178
| spl2_305
| spl2_243
| spl2_62
| spl2_43
| spl2_226
| spl2_50 ),
inference(rat,[],[s1821,s1823,s2259,s2470,s2149,s2254,s2046,s2471,s2469,s1242,s2264,s1121,s2164,s1972,s1092,s1157,s2487,s42,s2483,s2339]) ).
cnf(s2492,plain,
( ~ spl2_231
| spl2_178
| spl2_305
| spl2_243
| spl2_62
| spl2_43
| ~ spl2_153
| spl2_50 ),
inference(rat,[],[s1937,s1917,s2491,s2235,s844,s887,s690,s635,s2487,s688,s2437]) ).
cnf(s2493,plain,
( ~ spl2_144
| ~ spl2_153
| ~ spl2_127 ),
inference(rat,[],[s1121,s1242,s2347,s1856,s2104,s2048,s2492,s1219,s1487,s692,s2490,s1627,s1847,s1052,s1643,s362,s1483,s417,s2344,s762,s842,s255,s2174,s28,s501,s611,s49,s1964,s1646,s878,s517,s2235,s1776,s2250,s686,s42,s2489,s360,s844,s887,s690,s635,s2487,s2484,s2483,s688,s2437,s2339]) ).
cnf(s2494,plain,
( ~ spl2_153
| ~ spl2_127 ),
inference(rat,[],[s1643,s2490,s745,s692,s1492,s1393,s610,s2493,s1551,s1371,s1776,s2489,s844,s887,s690,s635,s2487,s2484,s2483,s688,s2339,s2437]) ).
cnf(s2495,plain,
( ~ spl2_43
| ~ spl2_127 ),
inference(rat,[],[s1524,s751,s1417,s868,s653,s6,s31,s171,s611,s2393,s2488,s256,s690,s635,s2487,s2484,s2494,s2483,s2464,s688,s2437]) ).
cnf(s2496,plain,
~ spl2_127,
inference(rat,[],[s1524,s751,s1417,s2204,s868,s1765,s1286,s42,s2495,s439,s2494,s690,s635,s2487,s2484,s2339,s688,s2437]) ).
cnf(s2497,plain,
spl2_55,
inference(rat,[],[s596,s2496]) ).
cnf(s2499,plain,
~ spl2_50,
inference(rat,[],[s2456,s2496]) ).
cnf(s2500,plain,
spl2_57,
inference(rat,[],[s2110,s2497]) ).
cnf(s2502,plain,
~ spl2_170,
inference(rat,[],[s2487,s2499]) ).
cnf(s2503,plain,
~ spl2_15,
inference(rat,[],[s1964,s2502]) ).
cnf(s2504,plain,
~ spl2_124,
inference(rat,[],[s635,s2437,s2502]) ).
cnf(s2505,plain,
~ spl2_33,
inference(rat,[],[s49,s2503]) ).
cnf(s2507,plain,
spl2_123,
inference(rat,[],[s690,s688,s2504]) ).
cnf(s2508,plain,
~ spl2_313,
inference(rat,[],[s1182,s2507]) ).
cnf(s2509,plain,
spl2_21,
inference(rat,[],[s28,s511,s723,s2413,s1777,s2393,s256,s42,s2505,s2497,s2464,s2483,s2339,s2496]) ).
cnf(s2510,plain,
spl2_22,
inference(rat,[],[s759,s2500,s2509]) ).
cnf(s2514,plain,
spl2_134,
inference(rat,[],[s2250,s686,s360,s2497,s2509]) ).
cnf(s2516,plain,
~ spl2_210,
inference(rat,[],[s883,s2499,s2514]) ).
cnf(s2517,plain,
~ spl2_166,
inference(rat,[],[s2408,s2464,s2499,s2514]) ).
cnf(s2518,plain,
spl2_273,
inference(rat,[],[s1643,s2517]) ).
cnf(s2519,plain,
~ spl2_39,
inference(rat,[],[s511,s2497,s2517]) ).
cnf(s2520,plain,
~ spl2_121,
inference(rat,[],[s2490,s2502,s2518]) ).
cnf(s2522,plain,
spl2_32,
inference(rat,[],[s28,s2505,s2519]) ).
cnf(s2523,plain,
spl2_122,
inference(rat,[],[s692,s688,s2520]) ).
cnf(s2528,plain,
~ spl2_62,
inference(rat,[],[s255,s2522]) ).
cnf(s2529,plain,
~ spl2_5,
inference(rat,[],[s842,s2483,s2522]) ).
cnf(s2530,plain,
~ spl2_118,
inference(rat,[],[s762,s2529,s2483,s2522]) ).
cnf(s2534,plain,
~ spl2_138,
inference(rat,[],[s1246,s2507,s2514,s2523]) ).
cnf(s2535,plain,
spl2_178,
inference(rat,[],[s875,s2516,s2510,s2514,s2523]) ).
cnf(s2538,plain,
~ spl2_37,
inference(rat,[],[s2393,s2464,s2483,s2528]) ).
cnf(s2539,plain,
~ spl2_60,
inference(rat,[],[s362,s2530]) ).
cnf(s2542,plain,
spl2_154,
inference(rat,[],[s1499,s2538,s2339,s2534]) ).
cnf(s2545,plain,
~ spl2_129,
inference(rat,[],[s751,s2507,s2535]) ).
cnf(s2546,plain,
spl2_209,
inference(rat,[],[s1262,s2507,s2535]) ).
cnf(s2550,plain,
~ spl2_10,
inference(rat,[],[s31,s2538]) ).
cnf(s2553,plain,
spl2_56,
inference(rat,[],[s1777,s2496,s2339,s2538]) ).
cnf(s2558,plain,
~ spl2_102,
inference(rat,[],[s543,s2505,s2539]) ).
cnf(s2573,plain,
~ spl2_190,
inference(rat,[],[s1644,s2545,s2507,s2546]) ).
cnf(s2574,plain,
~ spl2_174,
inference(rat,[],[s1755,s2529,s2542,s2546]) ).
cnf(s2579,plain,
~ spl2_40,
inference(rat,[],[s793,s2507,s2553]) ).
cnf(s2580,plain,
~ spl2_226,
inference(rat,[],[s995,s2534,s2553]) ).
cnf(s2581,plain,
~ spl2_183,
inference(rat,[],[s741,s2464,s2522,s2553]) ).
cnf(s2586,plain,
~ spl2_251,
inference(rat,[],[s1055,s2497,s2574,s2573,s2500,s2558]) ).
cnf(s2593,plain,
~ spl2_131,
inference(rat,[],[s1273,s2574]) ).
cnf(s2597,plain,
~ spl2_153,
inference(rat,[],[s2378,s2499,s2510,s2507,s2574]) ).
cnf(s2598,plain,
~ spl2_143,
inference(rat,[],[s392,s2550,s2579]) ).
cnf(s2599,plain,
~ spl2_43,
inference(rat,[],[s739,s2553,s2581]) ).
cnf(s2608,plain,
spl2_162,
inference(rat,[],[s2250,s2497,s2593]) ).
cnf(s2617,plain,
~ spl2_231,
inference(rat,[],[s1095,s2261,s2159,s1976,s1917,s2006,s2422,s2370,s2608,s2558,s2514,s2542,s2499,s2599,s2523,s2586,s2508,s2497]) ).
cnf(s2618,plain,
spl2_232,
inference(rat,[],[s2048,s2580,s2617]) ).
cnf(s2620,plain,
spl2_169,
inference(rat,[],[s2104,s2502,s2618]) ).
cnf(s2621,plain,
spl2_279,
inference(rat,[],[s2477,s2597,s2618]) ).
cnf(s2625,plain,
spl2_255,
inference(rat,[],[s1857,s2618,s2598,s2620]) ).
cnf(s2626,plain,
~ spl2_277,
inference(rat,[],[s1917,s2499,s2621]) ).
cnf(s2633,plain,
$false,
inference(rat,[],[s1754,s2621,s2464,s2625,s2626]) ).
thf(f22498,plain,
$false,
inference(avatar_sat_refutation,[],[s2633]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA096^1 : TPTP v9.3.1. Released v9.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n018.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 18:58:57 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.65/0.38 % (493101)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.65/0.38 % (493112)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.65/0.38 % (493112)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
% 0.65/0.38 % (493110)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3995823606:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.65/0.38 % (493106)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1867330634:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.65/0.38 % (493107)lrs+10_16_si=on:nwc=1.5:random_seed=517034793:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.65/0.38 % (493108)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1825444363:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.65/0.38 % (493111)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=226905831:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.65/0.38 % (493109)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=3770807202: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)
% 0.65/0.38 % (493112)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=1392465243:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.65/0.38 % (493108)Instruction limit reached!
% 0.65/0.38 % (493108)------------------------------
% 0.65/0.38 % (493108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.38 % (493108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.38 % (493108)CaDiCaL version: 2.1.3
% 0.65/0.38 % (493108)Termination reason: Instruction limit
% 0.65/0.38 % (493108)Termination phase: Saturation
% 0.65/0.38 % (493108)Time elapsed: 0.003 s
% 0.65/0.38 % (493108)Peak memory usage: 12 MB
% 0.65/0.38 % (493108)Instructions burned: 5 (million)
% 0.65/0.38 % (493107)Instruction limit reached!
% 0.65/0.38 % (493107)------------------------------
% 0.65/0.38 % (493107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.38 % (493107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.38 % (493107)CaDiCaL version: 2.1.3
% 0.65/0.38 % (493107)Termination reason: Instruction limit
% 0.65/0.38 % (493107)Termination phase: Saturation
% 0.65/0.38 % (493107)Time elapsed: 0.010 s
% 0.65/0.38 % (493107)Peak memory usage: 12 MB
% 0.65/0.38 % (493107)Instructions burned: 19 (million)
% 0.65/0.38 % (493110)Instruction limit reached!
% 0.65/0.38 % (493110)------------------------------
% 0.65/0.38 % (493110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.38 % (493110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.38 % (493110)CaDiCaL version: 2.1.3
% 0.65/0.38 % (493110)Termination reason: Instruction limit
% 0.65/0.38 % (493110)Termination phase: Saturation
% 0.65/0.38 % (493110)Time elapsed: 0.014 s
% 0.65/0.38 % (493110)Peak memory usage: 11 MB
% 0.65/0.38 % (493110)Instructions burned: 24 (million)
% 0.65/0.38 % (493120)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=201062954:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.65/0.38 % (493120)Instruction limit reached!
% 0.65/0.38 % (493120)------------------------------
% 0.65/0.38 % (493120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.38 % (493120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.38 % (493120)CaDiCaL version: 2.1.3
% 0.65/0.38 % (493120)Termination reason: Instruction limit
% 0.65/0.38 % (493120)Termination phase: Saturation
% 0.65/0.38 % (493120)Time elapsed: 0.003 s
% 0.65/0.38 % (493120)Peak memory usage: 12 MB
% 0.65/0.38 % (493120)Instructions burned: 5 (million)
% 0.65/0.38 % (493121)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1895301985:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.65/0.38 % (493122)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.65/0.41 % (493121)Instruction limit reached!
% 0.65/0.41 % (493121)------------------------------
% 0.65/0.41 % (493121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.41 % (493121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.41 % (493121)CaDiCaL version: 2.1.3
% 0.65/0.41 % (493121)Termination reason: Instruction limit
% 0.65/0.41 % (493121)Termination phase: Saturation
% 0.65/0.41 % (493121)Time elapsed: 0.003 s
% 0.65/0.41 % (493121)Peak memory usage: 12 MB
% 0.65/0.41 % (493121)Instructions burned: 5 (million)
% 0.65/0.41 % (493122)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2392388828:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.65/0.41 % (493111)Instruction limit reached!
% 0.65/0.41 % (493111)------------------------------
% 0.65/0.41 % (493111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.41 % (493111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.41 % (493111)CaDiCaL version: 2.1.3
% 0.65/0.41 % (493111)Termination reason: Instruction limit
% 0.65/0.41 % (493111)Termination phase: Saturation
% 0.65/0.41 % (493111)Time elapsed: 0.037 s
% 0.65/0.41 % (493111)Peak memory usage: 12 MB
% 0.65/0.41 % (493111)Instructions burned: 78 (million)
% 0.65/0.41 % (493122)Instruction limit reached!
% 0.65/0.41 % (493122)------------------------------
% 0.65/0.41 % (493122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.41 % (493122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.41 % (493122)CaDiCaL version: 2.1.3
% 0.65/0.41 % (493122)Termination reason: Instruction limit
% 0.65/0.41 % (493122)Termination phase: Saturation
% 0.65/0.41 % (493122)Time elapsed: 0.004 s
% 0.65/0.41 % (493122)Peak memory usage: 12 MB
% 0.65/0.41 % (493122)Instructions burned: 7 (million)
% 0.65/0.41 % (493106)Instruction limit reached!
% 0.65/0.41 % (493106)------------------------------
% 0.65/0.41 % (493106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.41 % (493106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.41 % (493106)CaDiCaL version: 2.1.3
% 0.65/0.41 % (493106)Termination reason: Instruction limit
% 0.65/0.41 % (493106)Termination phase: Saturation
% 0.65/0.41 % (493106)Time elapsed: 0.039 s
% 0.65/0.41 % (493106)Peak memory usage: 12 MB
% 0.65/0.41 % (493106)Instructions burned: 87 (million)
% 0.65/0.41 % (493124)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3799602258:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.65/0.41 % (493127)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
% 0.65/0.41 % (493127)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.65/0.41 % (493127)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1705682358:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.65/0.41 % (493124)Instruction limit reached!
% 0.65/0.41 % (493124)------------------------------
% 0.65/0.41 % (493124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.41 % (493124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.41 % (493124)CaDiCaL version: 2.1.3
% 0.65/0.41 % (493124)Termination reason: Instruction limit
% 0.65/0.41 % (493124)Termination phase: Saturation
% 0.65/0.41 % (493124)Time elapsed: 0.008 s
% 0.65/0.41 % (493124)Peak memory usage: 12 MB
% 0.65/0.41 % (493124)Instructions burned: 12 (million)
% 0.65/0.41 % (493130)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.65/0.41 % (493128)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=602879359:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.65/0.41 % (493129)lrs+10_1_si=on:cs=on:random_seed=1179786563:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.65/0.44 % (493130)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=1843961466:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.65/0.44 % (493112)Instruction limit reached!
% 0.65/0.44 % (493112)------------------------------
% 0.65/0.44 % (493112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.44 % (493112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.44 % (493112)CaDiCaL version: 2.1.3
% 0.65/0.44 % (493112)Termination reason: Instruction limit
% 0.65/0.44 % (493112)Termination phase: Saturation
% 0.65/0.44 % (493112)Time elapsed: 0.058 s
% 0.65/0.44 % (493112)Peak memory usage: 12 MB
% 0.65/0.44 % (493112)Instructions burned: 157 (million)
% 0.65/0.44 % (493130)Instruction limit reached!
% 0.65/0.44 % (493130)------------------------------
% 0.65/0.44 % (493130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.44 % (493130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.44 % (493130)CaDiCaL version: 2.1.3
% 0.65/0.44 % (493130)Termination reason: Instruction limit
% 0.65/0.44 % (493130)Termination phase: Saturation
% 0.65/0.44 % (493130)Time elapsed: 0.002 s
% 0.65/0.44 % (493130)Peak memory usage: 11 MB
% 0.65/0.44 % (493130)Instructions burned: 3 (million)
% 0.65/0.44 % (493129)Instruction limit reached!
% 0.65/0.44 % (493129)------------------------------
% 0.65/0.44 % (493129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.44 % (493129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.44 % (493129)CaDiCaL version: 2.1.3
% 0.65/0.44 % (493129)Termination reason: Instruction limit
% 0.65/0.44 % (493129)Termination phase: Saturation
% 0.65/0.44 % (493129)Time elapsed: 0.005 s
% 0.65/0.44 % (493129)Peak memory usage: 12 MB
% 0.65/0.44 % (493129)Instructions burned: 8 (million)
% 0.65/0.44 % (493127)Instruction limit reached!
% 0.65/0.44 % (493127)------------------------------
% 0.65/0.44 % (493127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.44 % (493127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.44 % (493127)CaDiCaL version: 2.1.3
% 0.65/0.44 % (493127)Termination reason: Instruction limit
% 0.65/0.44 % (493127)Termination phase: Saturation
% 0.65/0.44 % (493127)Time elapsed: 0.014 s
% 0.65/0.44 % (493127)Peak memory usage: 12 MB
% 0.65/0.44 % (493127)Instructions burned: 29 (million)
% 0.65/0.44 % (493133)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=275921203:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.65/0.44 % (493133)Refutation not found, incomplete strategy
% 0.65/0.44 % (493133)------------------------------
% 0.65/0.44 % (493133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.44 % (493133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.44 % (493133)CaDiCaL version: 2.1.3
% 0.65/0.44 % (493133)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.44 % (493133)Time elapsed: 0.001 s
% 0.65/0.44 % (493133)Peak memory usage: 12 MB
% 0.65/0.44 % (493133)------------------------------
% 0.65/0.44 % (493133)------------------------------
% 0.65/0.44 % (493137)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3363875542:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.65/0.44 % (493138)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1447519017:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.65/0.44 % (493139)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3988228530:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.65/0.44 % (493137)Refutation not found, incomplete strategy
% 0.65/0.44 % (493137)------------------------------
% 0.65/0.44 % (493137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.65/0.44 % (493137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.65/0.44 % (493137)CaDiCaL version: 2.1.3
% 0.65/0.44 % (493137)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.44 % (493137)Time elapsed: 0.001 s
% 0.65/0.44 % (493137)Peak memory usage: 11 MB
% 0.65/0.44 % (493137)Instructions burned: 1 (million)
% 0.65/0.44 % (493138)Refutation not found, incomplete strategy
% 1.35/0.48 % (493138)------------------------------
% 1.35/0.48 % (493138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (493138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (493138)CaDiCaL version: 2.1.3
% 1.35/0.48 % (493138)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.48 % (493138)Time elapsed: 0.001 s
% 1.35/0.48 % (493138)Peak memory usage: 12 MB
% 1.35/0.48 % (493138)Instructions burned: 1 (million)
% 1.35/0.48 % (493137)------------------------------
% 1.35/0.48 % (493137)------------------------------
% 1.35/0.48 % (493138)------------------------------
% 1.35/0.48 % (493138)------------------------------
% 1.35/0.48 % (493140)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2130716380:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.35/0.48 % (493140)Refutation not found, incomplete strategy
% 1.35/0.48 % (493140)------------------------------
% 1.35/0.48 % (493140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (493140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (493140)CaDiCaL version: 2.1.3
% 1.35/0.48 % (493140)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.48 % (493140)Time elapsed: 0.001 s
% 1.35/0.48 % (493140)Peak memory usage: 11 MB
% 1.35/0.48 % (493140)Instructions burned: 1 (million)
% 1.35/0.48 % (493140)------------------------------
% 1.35/0.48 % (493140)------------------------------
% 1.35/0.48 % (493139)Instruction limit reached!
% 1.35/0.48 % (493139)------------------------------
% 1.35/0.48 % (493139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (493139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (493139)CaDiCaL version: 2.1.3
% 1.35/0.48 % (493139)Termination reason: Instruction limit
% 1.35/0.48 % (493139)Termination phase: Saturation
% 1.35/0.48 % (493139)Time elapsed: 0.009 s
% 1.35/0.48 % (493139)Peak memory usage: 12 MB
% 1.35/0.48 % (493139)Instructions burned: 15 (million)
% 1.35/0.48 % (493142)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2285055763:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.35/0.48 % (493128)Instruction limit reached!
% 1.35/0.48 % (493128)------------------------------
% 1.35/0.48 % (493128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (493128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (493128)CaDiCaL version: 2.1.3
% 1.35/0.48 % (493128)Termination reason: Instruction limit
% 1.35/0.48 % (493128)Termination phase: Saturation
% 1.35/0.48 % (493128)Time elapsed: 0.042 s
% 1.35/0.48 % (493128)Peak memory usage: 12 MB
% 1.35/0.48 % (493128)Instructions burned: 87 (million)
% 1.35/0.48 % (493146)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=959587898:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.35/0.48 % (493147)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1113482351:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.35/0.48 % (493146)Refutation not found, incomplete strategy
% 1.35/0.48 % (493146)------------------------------
% 1.35/0.48 % (493146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (493146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (493146)CaDiCaL version: 2.1.3
% 1.35/0.48 % (493146)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.48 % (493146)Time elapsed: 0.001 s
% 1.35/0.48 % (493146)Peak memory usage: 11 MB
% 1.35/0.48 % (493146)------------------------------
% 1.35/0.48 % (493146)------------------------------
% 1.35/0.48 % (493142)Instruction limit reached!
% 1.35/0.48 % (493142)------------------------------
% 1.35/0.48 % (493142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (493142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (493142)CaDiCaL version: 2.1.3
% 1.35/0.48 % (493142)Termination reason: Instruction limit
% 1.35/0.48 % (493142)Termination phase: Saturation
% 1.35/0.48 % (493142)Time elapsed: 0.008 s
% 1.35/0.48 % (493142)Peak memory usage: 12 MB
% 1.35/0.48 % (493142)Instructions burned: 15 (million)
% 1.35/0.48 % (493149)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3473005822:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.35/0.50 % (493150)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2493028491:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.35/0.50 % (493152)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.35/0.50 % (493152)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.35/0.50 % (493147)Instruction limit reached!
% 1.35/0.50 % (493147)------------------------------
% 1.35/0.50 % (493147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.50 % (493147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.50 % (493147)CaDiCaL version: 2.1.3
% 1.35/0.50 % (493147)Termination reason: Instruction limit
% 1.35/0.50 % (493147)Termination phase: Saturation
% 1.35/0.50 % (493147)Time elapsed: 0.014 s
% 1.35/0.50 % (493147)Peak memory usage: 12 MB
% 1.35/0.50 % (493147)Instructions burned: 26 (million)
% 1.35/0.50 % (493155)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.35/0.50 % (493152)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=2338208784:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.35/0.50 % (493149)Instruction limit reached!
% 1.35/0.50 % (493149)------------------------------
% 1.35/0.50 % (493149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.50 % (493149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.50 % (493149)CaDiCaL version: 2.1.3
% 1.35/0.50 % (493149)Termination reason: Instruction limit
% 1.35/0.50 % (493149)Termination phase: Saturation
% 1.35/0.50 % (493149)Time elapsed: 0.011 s
% 1.35/0.50 % (493149)Peak memory usage: 11 MB
% 1.35/0.50 % (493149)Instructions burned: 25 (million)
% 1.35/0.50 % (493155)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=2424564121:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.35/0.50 % (493156)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=2656797317:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.35/0.50 % (493155)Instruction limit reached!
% 1.35/0.50 % (493155)------------------------------
% 1.35/0.50 % (493155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.50 % (493155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.50 % (493155)CaDiCaL version: 2.1.3
% 1.35/0.50 % (493155)Termination reason: Instruction limit
% 1.35/0.50 % (493155)Termination phase: Saturation
% 1.35/0.50 % (493155)Time elapsed: 0.005 s
% 1.35/0.50 % (493155)Peak memory usage: 12 MB
% 1.35/0.50 % (493155)Instructions burned: 8 (million)
% 1.35/0.50 % (493152)Instruction limit reached!
% 1.35/0.50 % (493152)------------------------------
% 1.35/0.50 % (493152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.50 % (493152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.50 % (493152)CaDiCaL version: 2.1.3
% 1.35/0.50 % (493152)Termination reason: Instruction limit
% 1.35/0.50 % (493152)Termination phase: Saturation
% 1.35/0.50 % (493152)Time elapsed: 0.008 s
% 1.35/0.50 % (493152)Peak memory usage: 12 MB
% 1.35/0.50 % (493152)Instructions burned: 14 (million)
% 1.35/0.50 % (493156)Instruction limit reached!
% 1.35/0.50 % (493156)------------------------------
% 1.35/0.50 % (493156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.50 % (493156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.50 % (493156)CaDiCaL version: 2.1.3
% 1.35/0.50 % (493156)Termination reason: Instruction limit
% 1.35/0.50 % (493156)Termination phase: Saturation
% 1.35/0.50 % (493156)Time elapsed: 0.016 s
% 1.35/0.50 % (493156)Peak memory usage: 12 MB
% 1.35/0.50 % (493156)Instructions burned: 34 (million)
% 1.35/0.50 % (493159)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4220941430:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.35/0.54 % (493150)Instruction limit reached!
% 1.35/0.54 % (493150)------------------------------
% 1.35/0.54 % (493150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.54 % (493150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.54 % (493150)CaDiCaL version: 2.1.3
% 1.35/0.54 % (493150)Termination reason: Instruction limit
% 1.35/0.54 % (493150)Termination phase: Saturation
% 1.35/0.54 % (493150)Time elapsed: 0.033 s
% 1.35/0.54 % (493150)Peak memory usage: 12 MB
% 1.35/0.54 % (493150)Instructions burned: 60 (million)
% 1.35/0.54 % (493161)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=405594209:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.35/0.54 % (493164)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=266528050:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.35/0.54 % (493165)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2737904700:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.35/0.54 % (493159)Instruction limit reached!
% 1.35/0.54 % (493159)------------------------------
% 1.35/0.54 % (493159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.54 % (493159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.54 % (493159)CaDiCaL version: 2.1.3
% 1.35/0.54 % (493159)Termination reason: Instruction limit
% 1.35/0.54 % (493159)Termination phase: Saturation
% 1.35/0.54 % (493159)Time elapsed: 0.008 s
% 1.35/0.54 % (493159)Peak memory usage: 12 MB
% 1.35/0.54 % (493159)Instructions burned: 8 (million)
% 1.35/0.54 % (493161)Instruction limit reached!
% 1.35/0.54 % (493161)------------------------------
% 1.35/0.54 % (493161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.54 % (493161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.54 % (493161)CaDiCaL version: 2.1.3
% 1.35/0.54 % (493161)Termination reason: Instruction limit
% 1.35/0.54 % (493161)Termination phase: Saturation
% 1.35/0.54 % (493161)Time elapsed: 0.013 s
% 1.35/0.54 % (493161)Peak memory usage: 11 MB
% 1.35/0.54 % (493161)Instructions burned: 23 (million)
% 1.35/0.54 % (493166)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2637888239:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.35/0.54 % (493168)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1165821386:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.35/0.54 % (493168)Refutation not found, incomplete strategy
% 1.35/0.54 % (493168)------------------------------
% 1.35/0.54 % (493168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.54 % (493168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.54 % (493168)CaDiCaL version: 2.1.3
% 1.35/0.54 % (493168)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.54 % (493168)Time elapsed: 0.001 s
% 1.35/0.54 % (493168)Peak memory usage: 11 MB
% 1.35/0.54 % (493168)Instructions burned: 1 (million)
% 1.35/0.54 % (493164)Instruction limit reached!
% 1.35/0.54 % (493164)------------------------------
% 1.35/0.54 % (493164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.54 % (493164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.54 % (493164)CaDiCaL version: 2.1.3
% 1.35/0.54 % (493164)Termination reason: Instruction limit
% 1.35/0.54 % (493164)Termination phase: Saturation
% 1.35/0.54 % (493164)Time elapsed: 0.017 s
% 1.35/0.54 % (493164)Peak memory usage: 12 MB
% 1.35/0.54 % (493164)Instructions burned: 21 (million)
% 1.35/0.54 % (493168)------------------------------
% 1.35/0.54 % (493168)------------------------------
% 1.35/0.54 % (493174)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.35/0.54 % (493172)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2257910443:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.35/0.54 % (493174)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3864714469:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.35/0.54 % (493176)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=394570646:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 2.03/0.61 % (493174)Instruction limit reached!
% 2.03/0.61 % (493174)------------------------------
% 2.03/0.61 % (493174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.61 % (493177)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=3274320963:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 2.03/0.61 % (493174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.61 % (493174)CaDiCaL version: 2.1.3
% 2.03/0.61 % (493174)Termination reason: Instruction limit
% 2.03/0.61 % (493174)Termination phase: Saturation
% 2.03/0.61 % (493174)Time elapsed: 0.004 s
% 2.03/0.61 % (493174)Peak memory usage: 12 MB
% 2.03/0.61 % (493174)Instructions burned: 8 (million)
% 2.03/0.61 % (493176)Refutation not found, incomplete strategy
% 2.03/0.61 % (493176)------------------------------
% 2.03/0.61 % (493176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.61 % (493176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.61 % (493176)CaDiCaL version: 2.1.3
% 2.03/0.61 % (493176)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.61 % (493176)Time elapsed: 0.001 s
% 2.03/0.61 % (493176)Peak memory usage: 11 MB
% 2.03/0.61 % (493176)Instructions burned: 1 (million)
% 2.03/0.61 % (493177)Refutation not found, incomplete strategy
% 2.03/0.61 % (493177)------------------------------
% 2.03/0.61 % (493177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.61 % (493177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.61 % (493177)CaDiCaL version: 2.1.3
% 2.03/0.61 % (493177)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.61 % (493177)Time elapsed: 0.001 s
% 2.03/0.61 % (493177)Peak memory usage: 11 MB
% 2.03/0.61 % (493177)Instructions burned: 1 (million)
% 2.03/0.61 % (493176)------------------------------
% 2.03/0.61 % (493176)------------------------------
% 2.03/0.61 % (493177)------------------------------
% 2.03/0.61 % (493177)------------------------------
% 2.03/0.61 % (493172)Instruction limit reached!
% 2.03/0.61 % (493172)------------------------------
% 2.03/0.61 % (493172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.61 % (493172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.61 % (493172)CaDiCaL version: 2.1.3
% 2.03/0.61 % (493172)Termination reason: Instruction limit
% 2.03/0.61 % (493172)Termination phase: Saturation
% 2.03/0.61 % (493172)Time elapsed: 0.021 s
% 2.03/0.61 % (493172)Peak memory usage: 11 MB
% 2.03/0.61 % (493172)Instructions burned: 43 (million)
% 2.03/0.61 % (493182)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.03/0.61 % (493182)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2589331521:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.03/0.61 % (493183)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2698823609:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.03/0.61 % (493184)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=180811580:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.03/0.61 % (493182)Refutation not found, incomplete strategy
% 2.03/0.61 % (493182)------------------------------
% 2.03/0.61 % (493182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.61 % (493182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.61 % (493182)CaDiCaL version: 2.1.3
% 2.03/0.61 % (493182)Termination reason: Refutation not found, incomplete strategy
% 2.03/0.61 % (493182)Time elapsed: 0.001 s
% 2.03/0.61 % (493182)Peak memory usage: 11 MB
% 2.03/0.61 % (493182)Instructions burned: 1 (million)
% 2.03/0.61 % (493182)------------------------------
% 2.03/0.61 % (493182)------------------------------
% 2.03/0.61 % (493184)Refutation not found, incomplete strategy
% 2.03/0.61 % (493184)------------------------------
% 2.03/0.61 % (493184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.03/0.61 % (493184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.65 % (493184)CaDiCaL version: 2.1.3
% 2.34/0.65 % (493184)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.65 % (493184)Time elapsed: 0.002 s
% 2.34/0.65 % (493184)Peak memory usage: 12 MB
% 2.34/0.65 % (493184)Instructions burned: 3 (million)
% 2.34/0.65 % (493184)------------------------------
% 2.34/0.65 % (493184)------------------------------
% 2.34/0.65 % (493166)Instruction limit reached!
% 2.34/0.65 % (493166)------------------------------
% 2.34/0.65 % (493166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.65 % (493166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.65 % (493166)CaDiCaL version: 2.1.3
% 2.34/0.65 % (493166)Termination reason: Instruction limit
% 2.34/0.65 % (493166)Termination phase: Saturation
% 2.34/0.65 % (493166)Time elapsed: 0.054 s
% 2.34/0.65 % (493166)Peak memory usage: 12 MB
% 2.34/0.65 % (493166)Instructions burned: 144 (million)
% 2.34/0.65 % (493183)Instruction limit reached!
% 2.34/0.65 % (493183)------------------------------
% 2.34/0.65 % (493183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.65 % (493183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.65 % (493183)CaDiCaL version: 2.1.3
% 2.34/0.65 % (493183)Termination reason: Instruction limit
% 2.34/0.65 % (493183)Termination phase: Saturation
% 2.34/0.65 % (493183)Time elapsed: 0.011 s
% 2.34/0.65 % (493183)Peak memory usage: 12 MB
% 2.34/0.65 % (493183)Instructions burned: 23 (million)
% 2.34/0.65 % (493185)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=2728153271:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.34/0.65 % (493109)Instruction limit reached!
% 2.34/0.65 % (493109)------------------------------
% 2.34/0.65 % (493109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.65 % (493109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.65 % (493109)CaDiCaL version: 2.1.3
% 2.34/0.65 % (493109)Termination reason: Instruction limit
% 2.34/0.65 % (493109)Termination phase: Saturation
% 2.34/0.65 % (493109)Time elapsed: 0.219 s
% 2.34/0.65 % (493109)Peak memory usage: 13 MB
% 2.34/0.65 % (493109)Instructions burned: 636 (million)
% 2.34/0.65 % (493189)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=3023984981: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)
% 2.34/0.65 % (493190)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=1845935425: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)
% 2.34/0.65 % (493191)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2233185334:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.34/0.65 % (493192)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2472358681: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)
% 2.34/0.65 % (493191)Refutation not found, incomplete strategy
% 2.34/0.65 % (493191)------------------------------
% 2.34/0.65 % (493191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.65 % (493191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.65 % (493191)CaDiCaL version: 2.1.3
% 2.34/0.65 % (493191)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.65 % (493191)Time elapsed: 0.001 s
% 2.34/0.65 % (493191)Peak memory usage: 12 MB
% 2.34/0.65 % (493191)Instructions burned: 2 (million)
% 2.34/0.65 % (493191)------------------------------
% 2.34/0.65 % (493191)------------------------------
% 2.34/0.65 % (493194)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.34/0.65 % (493194)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=520022255:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 2.34/0.65 % (493192)Instruction limit reached!
% 2.34/0.65 % (493192)------------------------------
% 2.34/0.65 % (493192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (493192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (493192)CaDiCaL version: 2.1.3
% 2.34/0.70 % (493192)Termination reason: Instruction limit
% 2.34/0.70 % (493192)Termination phase: Saturation
% 2.34/0.70 % (493192)Time elapsed: 0.012 s
% 2.34/0.70 % (493192)Peak memory usage: 12 MB
% 2.34/0.70 % (493192)Instructions burned: 21 (million)
% 2.34/0.70 % (493190)Instruction limit reached!
% 2.34/0.70 % (493190)------------------------------
% 2.34/0.70 % (493190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (493190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (493190)CaDiCaL version: 2.1.3
% 2.34/0.70 % (493190)Termination reason: Instruction limit
% 2.34/0.70 % (493190)Termination phase: Saturation
% 2.34/0.70 % (493190)Time elapsed: 0.025 s
% 2.34/0.70 % (493190)Peak memory usage: 12 MB
% 2.34/0.70 % (493190)Instructions burned: 46 (million)
% 2.34/0.70 % (493199)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=576263256:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 2.34/0.70 % (493202)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3611450091:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 2.34/0.70 % (493202)Refutation not found, incomplete strategy
% 2.34/0.70 % (493202)------------------------------
% 2.34/0.70 % (493202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (493202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (493202)CaDiCaL version: 2.1.3
% 2.34/0.70 % (493202)Termination reason: Refutation not found, incomplete strategy
% 2.34/0.70 % (493202)Time elapsed: 0.002 s
% 2.34/0.70 % (493202)Peak memory usage: 12 MB
% 2.34/0.70 % (493202)Instructions burned: 2 (million)
% 2.34/0.70 % (493202)------------------------------
% 2.34/0.70 % (493202)------------------------------
% 2.34/0.70 % (493199)Instruction limit reached!
% 2.34/0.70 % (493199)------------------------------
% 2.34/0.70 % (493199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (493199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (493199)CaDiCaL version: 2.1.3
% 2.34/0.70 % (493199)Termination reason: Instruction limit
% 2.34/0.70 % (493199)Termination phase: Saturation
% 2.34/0.70 % (493199)Time elapsed: 0.018 s
% 2.34/0.70 % (493199)Peak memory usage: 12 MB
% 2.34/0.70 % (493199)Instructions burned: 14 (million)
% 2.34/0.70 % (493201)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=3877819614:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 2.34/0.70 % (493205)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3188881459:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.34/0.70 % (493206)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3235057620:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.34/0.70 % (493205)Instruction limit reached!
% 2.34/0.70 % (493205)------------------------------
% 2.34/0.70 % (493205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (493205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (493205)CaDiCaL version: 2.1.3
% 2.34/0.70 % (493205)Termination reason: Instruction limit
% 2.34/0.70 % (493205)Termination phase: Saturation
% 2.34/0.70 % (493205)Time elapsed: 0.016 s
% 2.34/0.70 % (493205)Peak memory usage: 12 MB
% 2.34/0.70 % (493205)Instructions burned: 32 (million)
% 2.34/0.70 % (493201)Instruction limit reached!
% 2.34/0.70 % (493201)------------------------------
% 2.34/0.70 % (493201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/0.70 % (493201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/0.70 % (493201)CaDiCaL version: 2.1.3
% 2.34/0.70 % (493201)Termination reason: Instruction limit
% 2.34/0.70 % (493201)Termination phase: Saturation
% 2.34/0.70 % (493201)Time elapsed: 0.030 s
% 2.34/0.70 % (493201)Peak memory usage: 13 MB
% 2.34/0.70 % (493201)Instructions burned: 67 (million)
% 2.34/0.70 % (493194)Instruction limit reached!
% 2.34/0.70 % (493194)------------------------------
% 2.34/0.70 % (493194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.74 % (493194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.74 % (493194)CaDiCaL version: 2.1.3
% 2.96/0.74 % (493194)Termination reason: Instruction limit
% 2.96/0.74 % (493194)Termination phase: Saturation
% 2.96/0.74 % (493194)Time elapsed: 0.075 s
% 2.96/0.74 % (493194)Peak memory usage: 12 MB
% 2.96/0.74 % (493194)Instructions burned: 200 (million)
% 2.96/0.74 % (493210)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=3878142021:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.96/0.74 % (493212)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 2.96/0.74 % (493211)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3677713252:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 2.96/0.74 % (493185)Instruction limit reached!
% 2.96/0.74 % (493185)------------------------------
% 2.96/0.74 % (493185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.74 % (493185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.74 % (493185)CaDiCaL version: 2.1.3
% 2.96/0.74 % (493185)Termination reason: Instruction limit
% 2.96/0.74 % (493185)Termination phase: Saturation
% 2.96/0.74 % (493185)Time elapsed: 0.116 s
% 2.96/0.74 % (493185)Peak memory usage: 14 MB
% 2.96/0.74 % (493185)Instructions burned: 316 (million)
% 2.96/0.74 % (493211)Refutation not found, incomplete strategy
% 2.96/0.74 % (493211)------------------------------
% 2.96/0.74 % (493211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.74 % (493211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.74 % (493211)CaDiCaL version: 2.1.3
% 2.96/0.74 % (493211)Termination reason: Refutation not found, incomplete strategy
% 2.96/0.74 % (493211)Time elapsed: 0.002 s
% 2.96/0.74 % (493211)Peak memory usage: 12 MB
% 2.96/0.74 % (493211)Instructions burned: 2 (million)
% 2.96/0.74 % (493212)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=86671605:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 2.96/0.74 % (493211)------------------------------
% 2.96/0.74 % (493211)------------------------------
% 2.96/0.74 % (493215)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2586902833:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 2.96/0.74 % (493215)Refutation not found, incomplete strategy
% 2.96/0.74 % (493215)------------------------------
% 2.96/0.74 % (493215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.74 % (493215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.74 % (493215)CaDiCaL version: 2.1.3
% 2.96/0.74 % (493215)Termination reason: Refutation not found, incomplete strategy
% 2.96/0.74 % (493215)Time elapsed: 0.0000 s
% 2.96/0.74 % (493215)Peak memory usage: 12 MB
% 2.96/0.74 % (493215)Instructions burned: 1 (million)
% 2.96/0.74 % (493215)------------------------------
% 2.96/0.74 % (493215)------------------------------
% 2.96/0.74 % (493217)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=1861536447:cond=on:i=96:bd=all:rtra=on_2996 on theBenchmark for (2996ds/96Mi)
% 2.96/0.74 % (493219)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1555132720:i=427:sd=1:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/427Mi)
% 2.96/0.74 % (493219)Refutation not found, incomplete strategy
% 2.96/0.74 % (493219)------------------------------
% 2.96/0.74 % (493219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.74 % (493219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.74 % (493219)CaDiCaL version: 2.1.3
% 2.96/0.74 % (493219)Termination reason: Refutation not found, incomplete strategy
% 2.96/0.74 % (493219)Time elapsed: 0.0000 s
% 2.96/0.74 % (493219)Peak memory usage: 12 MB
% 2.96/0.74 % (493219)Instructions burned: 1 (million)
% 2.96/0.74 % (493219)------------------------------
% 2.96/0.74 % (493219)------------------------------
% 2.96/0.74 % (493206)Instruction limit reached!
% 2.96/0.74 % (493206)------------------------------
% 2.96/0.74 % (493206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.74 % (493206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.74 % (493206)CaDiCaL version: 2.1.3
% 2.96/0.74 % (493206)Termination reason: Instruction limit
% 2.96/0.80 % (493206)Termination phase: Saturation
% 2.96/0.80 % (493206)Time elapsed: 0.058 s
% 2.96/0.80 % (493206)Peak memory usage: 13 MB
% 2.96/0.80 % (493206)Instructions burned: 137 (million)
% 2.96/0.80 % (493210)Instruction limit reached!
% 2.96/0.80 % (493210)------------------------------
% 2.96/0.80 % (493210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.80 % (493210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.80 % (493210)CaDiCaL version: 2.1.3
% 2.96/0.80 % (493210)Termination reason: Instruction limit
% 2.96/0.80 % (493210)Termination phase: Saturation
% 2.96/0.80 % (493210)Time elapsed: 0.031 s
% 2.96/0.80 % (493210)Peak memory usage: 12 MB
% 2.96/0.80 % (493210)Instructions burned: 35 (million)
% 2.96/0.80 % (493224)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=4204041371:st=1.5:i=130:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/130Mi)
% 2.96/0.80 % (493224)Refutation not found, incomplete strategy
% 2.96/0.80 % (493224)------------------------------
% 2.96/0.80 % (493224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.80 % (493224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.80 % (493224)CaDiCaL version: 2.1.3
% 2.96/0.80 % (493224)Termination reason: Refutation not found, incomplete strategy
% 2.96/0.80 % (493224)Time elapsed: 0.0000 s
% 2.96/0.80 % (493224)Peak memory usage: 11 MB
% 2.96/0.80 % (493224)Instructions burned: 1 (million)
% 2.96/0.80 % (493224)------------------------------
% 2.96/0.80 % (493224)------------------------------
% 2.96/0.80 % (493223)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1184677372:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/515Mi)
% 2.96/0.80 % (493223)Refutation not found, incomplete strategy
% 2.96/0.80 % (493223)------------------------------
% 2.96/0.80 % (493223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.80 % (493223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.80 % (493223)CaDiCaL version: 2.1.3
% 2.96/0.80 % (493223)Termination reason: Refutation not found, incomplete strategy
% 2.96/0.80 % (493223)Time elapsed: 0.001 s
% 2.96/0.80 % (493223)Peak memory usage: 12 MB
% 2.96/0.80 % (493223)Instructions burned: 1 (million)
% 2.96/0.80 % (493223)------------------------------
% 2.96/0.80 % (493223)------------------------------
% 2.96/0.80 % (493222)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3941780387:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/874Mi)
% 2.96/0.80 % (493226)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3645496665:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 2.96/0.80 % (493222)Refutation not found, incomplete strategy
% 2.96/0.80 % (493222)------------------------------
% 2.96/0.80 % (493222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.80 % (493222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.80 % (493222)CaDiCaL version: 2.1.3
% 2.96/0.80 % (493222)Termination reason: Refutation not found, incomplete strategy
% 2.96/0.80 % (493222)Time elapsed: 0.001 s
% 2.96/0.80 % (493222)Peak memory usage: 11 MB
% 2.96/0.80 % (493222)Instructions burned: 1 (million)
% 2.96/0.80 % (493222)------------------------------
% 2.96/0.80 % (493222)------------------------------
% 2.96/0.80 % (493226)Instruction limit reached!
% 2.96/0.80 % (493226)------------------------------
% 2.96/0.80 % (493226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.80 % (493226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.80 % (493226)CaDiCaL version: 2.1.3
% 2.96/0.80 % (493226)Termination reason: Instruction limit
% 2.96/0.80 % (493226)Termination phase: Saturation
% 2.96/0.80 % (493226)Time elapsed: 0.012 s
% 2.96/0.80 % (493226)Peak memory usage: 12 MB
% 2.96/0.80 % (493226)Instructions burned: 46 (million)
% 2.96/0.80 % (493228)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2143586736:s2a=on:i=571:nm=16:rtra=on_2995 on theBenchmark for (2995ds/571Mi)
% 2.96/0.80 % (493217)Instruction limit reached!
% 2.96/0.80 % (493217)------------------------------
% 2.96/0.80 % (493217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.96/0.80 % (493217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.96/0.80 % (493217)CaDiCaL version: 2.1.3
% 3.53/0.85 % (493217)Termination reason: Instruction limit
% 3.53/0.85 % (493217)Termination phase: Saturation
% 3.53/0.85 % (493217)Time elapsed: 0.044 s
% 3.53/0.85 % (493217)Peak memory usage: 12 MB
% 3.53/0.85 % (493217)Instructions burned: 97 (million)
% 3.53/0.85 % (493228)Refutation not found, incomplete strategy
% 3.53/0.85 % (493228)------------------------------
% 3.53/0.85 % (493228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.85 % (493228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.85 % (493228)CaDiCaL version: 2.1.3
% 3.53/0.85 % (493228)Termination reason: Refutation not found, incomplete strategy
% 3.53/0.85 % (493228)Time elapsed: 0.001 s
% 3.53/0.85 % (493228)Peak memory usage: 12 MB
% 3.53/0.85 % (493228)Instructions burned: 2 (million)
% 3.53/0.85 % (493228)------------------------------
% 3.53/0.85 % (493228)------------------------------
% 3.53/0.85 % (493231)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=4235985699:i=450:rtra=on:ixr=off:ntd=on_2995 on theBenchmark for (2995ds/450Mi)
% 3.53/0.85 % (493232)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2114995334:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/95Mi)
% 3.53/0.85 % (493212)Instruction limit reached!
% 3.53/0.85 % (493212)------------------------------
% 3.53/0.85 % (493212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.85 % (493212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.85 % (493212)CaDiCaL version: 2.1.3
% 3.53/0.85 % (493212)Termination reason: Instruction limit
% 3.53/0.85 % (493212)Termination phase: Saturation
% 3.53/0.85 % (493212)Time elapsed: 0.080 s
% 3.53/0.85 % (493212)Peak memory usage: 12 MB
% 3.53/0.85 % (493212)Instructions burned: 181 (million)
% 3.53/0.85 % (493234)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=1264074198:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2995 on theBenchmark for (2995ds/65Mi)
% 3.53/0.85 % (493235)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=4248406508: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_2995 on theBenchmark for (2995ds/105Mi)
% 3.53/0.85 % (493232)Instruction limit reached!
% 3.53/0.85 % (493232)------------------------------
% 3.53/0.85 % (493232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.85 % (493232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.85 % (493232)CaDiCaL version: 2.1.3
% 3.53/0.85 % (493232)Termination reason: Instruction limit
% 3.53/0.85 % (493232)Termination phase: Saturation
% 3.53/0.85 % (493232)Time elapsed: 0.022 s
% 3.53/0.85 % (493232)Peak memory usage: 12 MB
% 3.53/0.85 % (493232)Instructions burned: 99 (million)
% 3.53/0.85 % (493238)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=2879764618:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2995 on theBenchmark for (2995ds/5755Mi)
% 3.53/0.85 % (493238)Refutation not found, incomplete strategy
% 3.53/0.85 % (493238)------------------------------
% 3.53/0.85 % (493238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.85 % (493238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/0.85 % (493238)CaDiCaL version: 2.1.3
% 3.53/0.85 % (493238)Termination reason: Refutation not found, incomplete strategy
% 3.53/0.85 % (493238)Time elapsed: 0.001 s
% 3.53/0.85 % (493238)Peak memory usage: 12 MB
% 3.53/0.85 % (493238)Instructions burned: 1 (million)
% 3.53/0.85 % (493238)------------------------------
% 3.53/0.85 % (493238)------------------------------
% 3.53/0.85 % (493241)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2621577669:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/375Mi)
% 3.53/0.85 % (493241)Refutation not found, incomplete strategy
% 3.53/0.85 % (493241)------------------------------
% 3.53/0.85 % (493241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.53/0.85 % (493241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/0.96 % (493241)CaDiCaL version: 2.1.3
% 3.98/0.96 % (493241)Termination reason: Refutation not found, incomplete strategy
% 3.98/0.96 % (493241)Time elapsed: 0.0000 s
% 3.98/0.96 % (493241)Peak memory usage: 11 MB
% 3.98/0.96 % (493241)Instructions burned: 1 (million)
% 3.98/0.96 % (493241)------------------------------
% 3.98/0.96 % (493241)------------------------------
% 3.98/0.96 % (493234)Instruction limit reached!
% 3.98/0.96 % (493234)------------------------------
% 3.98/0.96 % (493234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/0.96 % (493234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/0.96 % (493234)CaDiCaL version: 2.1.3
% 3.98/0.96 % (493234)Termination reason: Instruction limit
% 3.98/0.96 % (493234)Termination phase: Saturation
% 3.98/0.96 % (493234)Time elapsed: 0.031 s
% 3.98/0.96 % (493234)Peak memory usage: 13 MB
% 3.98/0.96 % (493234)Instructions burned: 66 (million)
% 3.98/0.96 % (493245)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=2426577579:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.98/0.96 % (493243)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1551864091:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/495Mi)
% 3.98/0.96 % (493245)Instruction limit reached!
% 3.98/0.96 % (493245)------------------------------
% 3.98/0.96 % (493245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/0.96 % (493245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/0.96 % (493245)CaDiCaL version: 2.1.3
% 3.98/0.96 % (493245)Termination reason: Instruction limit
% 3.98/0.96 % (493245)Termination phase: Saturation
% 3.98/0.96 % (493245)Time elapsed: 0.010 s
% 3.98/0.96 % (493245)Peak memory usage: 12 MB
% 3.98/0.96 % (493245)Instructions burned: 37 (million)
% 3.98/0.96 % (493246)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1794754110:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2995 on theBenchmark for (2995ds/91Mi)
% 3.98/0.96 % (493249)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=569643803:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2995 on theBenchmark for (2995ds/66Mi)
% 3.98/0.96 % (493249)Refutation not found, incomplete strategy
% 3.98/0.96 % (493249)------------------------------
% 3.98/0.96 % (493249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/0.96 % (493249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/0.96 % (493249)CaDiCaL version: 2.1.3
% 3.98/0.96 % (493249)Termination reason: Refutation not found, incomplete strategy
% 3.98/0.96 % (493249)Time elapsed: 0.0000 s
% 3.98/0.96 % (493249)Peak memory usage: 11 MB
% 3.98/0.96 % (493249)------------------------------
% 3.98/0.96 % (493249)------------------------------
% 3.98/0.96 % (493235)Instruction limit reached!
% 3.98/0.96 % (493235)------------------------------
% 3.98/0.96 % (493235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/0.96 % (493235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/0.96 % (493235)CaDiCaL version: 2.1.3
% 3.98/0.96 % (493235)Termination reason: Instruction limit
% 3.98/0.96 % (493235)Termination phase: Saturation
% 3.98/0.96 % (493235)Time elapsed: 0.056 s
% 3.98/0.96 % (493235)Peak memory usage: 12 MB
% 3.98/0.96 % (493235)Instructions burned: 106 (million)
% 3.98/0.96 % (493252)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=670833211:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2994 on theBenchmark for (2994ds/22Mi)
% 3.98/0.96 % (493252)Instruction limit reached!
% 3.98/0.96 % (493252)------------------------------
% 3.98/0.96 % (493252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/0.96 % (493252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/0.96 % (493252)CaDiCaL version: 2.1.3
% 3.98/0.96 % (493252)Termination reason: Instruction limit
% 3.98/0.96 % (493252)Termination phase: Saturation
% 3.98/0.96 % (493252)Time elapsed: 0.006 s
% 3.98/0.96 % (493252)Peak memory usage: 12 MB
% 3.98/0.96 % (493252)Instructions burned: 24 (million)
% 3.98/0.96 % (493253)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=3414261579:i=338:bd=all:ins=4:rtra=on_2994 on theBenchmark for (2994ds/338Mi)
% 3.98/0.96 % (493255)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1074607124:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/28Mi)
% 3.98/1.01 % (493255)Refutation not found, incomplete strategy
% 3.98/1.01 % (493255)------------------------------
% 3.98/1.01 % (493255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/1.01 % (493255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.01 % (493255)CaDiCaL version: 2.1.3
% 3.98/1.01 % (493255)Termination reason: Refutation not found, incomplete strategy
% 3.98/1.01 % (493255)Time elapsed: 0.0000 s
% 3.98/1.01 % (493255)Peak memory usage: 11 MB
% 3.98/1.01 % (493255)Instructions burned: 1 (million)
% 3.98/1.01 % (493255)------------------------------
% 3.98/1.01 % (493255)------------------------------
% 3.98/1.01 % (493246)Instruction limit reached!
% 3.98/1.01 % (493246)------------------------------
% 3.98/1.01 % (493246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/1.01 % (493246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.01 % (493246)CaDiCaL version: 2.1.3
% 3.98/1.01 % (493246)Termination reason: Instruction limit
% 3.98/1.01 % (493246)Termination phase: Saturation
% 3.98/1.01 % (493246)Time elapsed: 0.036 s
% 3.98/1.01 % (493246)Peak memory usage: 12 MB
% 3.98/1.01 % (493246)Instructions burned: 92 (million)
% 3.98/1.01 % (493258)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 3.98/1.01 % (493258)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=2498244782:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2994 on theBenchmark for (2994ds/137Mi)
% 3.98/1.01 % (493189)Instruction limit reached!
% 3.98/1.01 % (493189)------------------------------
% 3.98/1.01 % (493189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/1.01 % (493189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.01 % (493189)CaDiCaL version: 2.1.3
% 3.98/1.01 % (493189)Termination reason: Instruction limit
% 3.98/1.01 % (493189)Termination phase: Saturation
% 3.98/1.01 % (493189)Time elapsed: 0.291 s
% 3.98/1.01 % (493189)Peak memory usage: 14 MB
% 3.98/1.01 % (493189)Instructions burned: 853 (million)
% 3.98/1.01 % (493259)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=3642931245:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2994 on theBenchmark for (2994ds/340Mi)
% 3.98/1.01 % (493261)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=1891969998:i=227:sd=1:bd=all:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/227Mi)
% 3.98/1.01 % (493261)Refutation not found, incomplete strategy
% 3.98/1.01 % (493261)------------------------------
% 3.98/1.01 % (493261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/1.01 % (493261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.01 % (493261)CaDiCaL version: 2.1.3
% 3.98/1.01 % (493261)Termination reason: Refutation not found, incomplete strategy
% 3.98/1.01 % (493261)Time elapsed: 0.001 s
% 3.98/1.01 % (493261)Peak memory usage: 11 MB
% 3.98/1.01 % (493261)------------------------------
% 3.98/1.01 % (493261)------------------------------
% 3.98/1.01 % (493258)Instruction limit reached!
% 3.98/1.01 % (493258)------------------------------
% 3.98/1.01 % (493258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.98/1.01 % (493258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.98/1.01 % (493258)CaDiCaL version: 2.1.3
% 3.98/1.01 % (493258)Termination reason: Instruction limit
% 3.98/1.01 % (493258)Termination phase: Saturation
% 3.98/1.01 % (493258)Time elapsed: 0.032 s
% 3.98/1.01 % (493258)Peak memory usage: 12 MB
% 3.98/1.01 % (493258)Instructions burned: 142 (million)
% 3.98/1.01 % (493264)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 3.98/1.01 % (493265)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=1881994499:i=116:ep=RSTC:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/116Mi)
% 3.98/1.01 % (493264)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=3463914484:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/373Mi)
% 3.98/1.01 % (493231)Instruction limit reached!
% 3.98/1.01 % (493231)------------------------------
% 5.42/1.06 % (493231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.06 % (493231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.06 % (493231)CaDiCaL version: 2.1.3
% 5.42/1.06 % (493231)Termination reason: Instruction limit
% 5.42/1.06 % (493231)Termination phase: Saturation
% 5.42/1.06 % (493231)Time elapsed: 0.149 s
% 5.42/1.06 % (493231)Peak memory usage: 13 MB
% 5.42/1.06 % (493231)Instructions burned: 452 (million)
% 5.42/1.06 % (493268)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=3799475961:i=575:rtra=on_2994 on theBenchmark for (2994ds/575Mi)
% 5.42/1.06 % (493268)Refutation not found, incomplete strategy
% 5.42/1.06 % (493268)------------------------------
% 5.42/1.06 % (493268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.06 % (493268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.06 % (493268)CaDiCaL version: 2.1.3
% 5.42/1.06 % (493268)Termination reason: Refutation not found, incomplete strategy
% 5.42/1.06 % (493268)Time elapsed: 0.002 s
% 5.42/1.06 % (493268)Peak memory usage: 12 MB
% 5.42/1.06 % (493268)Instructions burned: 2 (million)
% 5.42/1.06 % (493268)------------------------------
% 5.42/1.06 % (493268)------------------------------
% 5.42/1.06 % (493265)Instruction limit reached!
% 5.42/1.06 % (493265)------------------------------
% 5.42/1.06 % (493265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.06 % (493265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.06 % (493265)CaDiCaL version: 2.1.3
% 5.42/1.06 % (493265)Termination reason: Instruction limit
% 5.42/1.06 % (493265)Termination phase: Saturation
% 5.42/1.06 % (493265)Time elapsed: 0.026 s
% 5.42/1.06 % (493265)Peak memory usage: 12 MB
% 5.42/1.06 % (493265)Instructions burned: 117 (million)
% 5.42/1.06 % (493271)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=3827886875: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_2993 on theBenchmark for (2993ds/9840Mi)
% 5.42/1.06 % (493270)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3693802415: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)
% 5.42/1.06 % (493165)Instruction limit reached!
% 5.42/1.06 % (493165)------------------------------
% 5.42/1.06 % (493165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.06 % (493165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.06 % (493165)CaDiCaL version: 2.1.3
% 5.42/1.06 % (493165)Termination reason: Instruction limit
% 5.42/1.06 % (493165)Termination phase: Saturation
% 5.42/1.06 % (493165)Time elapsed: 0.478 s
% 5.42/1.06 % (493165)Peak memory usage: 13 MB
% 5.42/1.06 % (493165)Instructions burned: 1242 (million)
% 5.42/1.06 % (493253)Instruction limit reached!
% 5.42/1.06 % (493253)------------------------------
% 5.42/1.06 % (493253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.06 % (493253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.06 % (493253)CaDiCaL version: 2.1.3
% 5.42/1.06 % (493253)Termination reason: Instruction limit
% 5.42/1.06 % (493253)Termination phase: Saturation
% 5.42/1.06 % (493253)Time elapsed: 0.146 s
% 5.42/1.06 % (493253)Peak memory usage: 14 MB
% 5.42/1.06 % (493253)Instructions burned: 340 (million)
% 5.42/1.06 % (493274)lrs+1010_1_sil=128000:si=on:sos=all:uwa=off:nwc=1:random_seed=1429635302:i=421:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/421Mi)
% 5.42/1.06 % (493274)Refutation not found, incomplete strategy
% 5.42/1.06 % (493274)------------------------------
% 5.42/1.06 % (493274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.06 % (493274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.06 % (493274)CaDiCaL version: 2.1.3
% 5.42/1.06 % (493274)Termination reason: Refutation not found, incomplete strategy
% 5.42/1.06 % (493274)Time elapsed: 0.001 s
% 5.42/1.06 % (493274)Peak memory usage: 11 MB
% 5.42/1.06 % (493274)Instructions burned: 1 (million)
% 5.42/1.06 % (493274)------------------------------
% 5.42/1.06 % (493274)------------------------------
% 5.42/1.06 % (493275)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
% 5.42/1.10 % (493277)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2056587895:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/31Mi)
% 5.42/1.10 % (493275)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=2151652655:avsq=on:i=270:s2at=3:avsqr=1,16:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/270Mi)
% 5.42/1.10 % (493243)Instruction limit reached!
% 5.42/1.10 % (493243)------------------------------
% 5.42/1.10 % (493243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.10 % (493243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.10 % (493243)CaDiCaL version: 2.1.3
% 5.42/1.10 % (493243)Termination reason: Instruction limit
% 5.42/1.10 % (493243)Termination phase: Saturation
% 5.42/1.10 % (493243)Time elapsed: 0.214 s
% 5.42/1.10 % (493243)Peak memory usage: 13 MB
% 5.42/1.10 % (493243)Instructions burned: 496 (million)
% 5.42/1.10 % (493259)Instruction limit reached!
% 5.42/1.10 % (493259)------------------------------
% 5.42/1.10 % (493259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.10 % (493259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.10 % (493259)CaDiCaL version: 2.1.3
% 5.42/1.10 % (493259)Termination reason: Instruction limit
% 5.42/1.10 % (493259)Termination phase: Saturation
% 5.42/1.10 % (493259)Time elapsed: 0.148 s
% 5.42/1.10 % (493259)Peak memory usage: 13 MB
% 5.42/1.10 % (493259)Instructions burned: 340 (million)
% 5.42/1.10 % (493277)Instruction limit reached!
% 5.42/1.10 % (493277)------------------------------
% 5.42/1.10 % (493277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.10 % (493277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.10 % (493277)CaDiCaL version: 2.1.3
% 5.42/1.10 % (493277)Termination reason: Instruction limit
% 5.42/1.10 % (493277)Termination phase: Saturation
% 5.42/1.10 % (493277)Time elapsed: 0.016 s
% 5.42/1.10 % (493277)Peak memory usage: 12 MB
% 5.42/1.10 % (493277)Instructions burned: 32 (million)
% 5.42/1.10 % (493280)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 5.42/1.10 % (493280)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
% 5.42/1.10 % (493280)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=2097670292:hsqr=1,8:i=1440:s2at=5:add=on:nm=2:rtra=on_2992 on theBenchmark for (2992ds/1440Mi)
% 5.42/1.10 % (493281)dis+10_2_sil=128000:si=on:random_seed=2369469585:s2a=on:i=339:av=off:rtra=on:fe=abstraction:ss=axioms:fsd=on:ntd=on_2992 on theBenchmark for (2992ds/339Mi)
% 5.42/1.10 % (493281)Refutation not found, incomplete strategy
% 5.42/1.10 % (493281)------------------------------
% 5.42/1.10 % (493281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.10 % (493281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.10 % (493281)CaDiCaL version: 2.1.3
% 5.42/1.10 % (493281)Termination reason: Refutation not found, incomplete strategy
% 5.42/1.10 % (493281)Time elapsed: 0.001 s
% 5.42/1.10 % (493281)Peak memory usage: 11 MB
% 5.42/1.10 % (493281)Instructions burned: 1 (million)
% 5.42/1.10 % (493281)------------------------------
% 5.42/1.10 % (493281)------------------------------
% 5.42/1.10 % (493282)lrs+2_16:1_si=on:cbe=off:uwa=interpreted_only:random_seed=3733749453:i=111:add=on:fgj=on:rtra=on:fdi=1024_2992 on theBenchmark for (2992ds/111Mi)
% 5.42/1.10 % (493285)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=4130910102: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)
% 5.42/1.10 % (493285)Refutation not found, incomplete strategy
% 5.42/1.10 % (493285)------------------------------
% 5.42/1.10 % (493285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.42/1.10 % (493285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.21 % (493285)CaDiCaL version: 2.1.3
% 6.12/1.21 % (493285)Termination reason: Refutation not found, incomplete strategy
% 6.12/1.21 % (493285)Time elapsed: 0.001 s
% 6.12/1.21 % (493285)Peak memory usage: 11 MB
% 6.12/1.21 % (493285)Instructions burned: 1 (million)
% 6.12/1.21 % (493285)------------------------------
% 6.12/1.21 % (493285)------------------------------
% 6.12/1.21 % (493288)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=440358450:uwa_fpi=on:avsq=on:i=136:avsqr=1,32:hud=15:nm=0:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/136Mi)
% 6.12/1.21 % (493270)Instruction limit reached!
% 6.12/1.21 % (493270)------------------------------
% 6.12/1.21 % (493270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.21 % (493270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.21 % (493270)CaDiCaL version: 2.1.3
% 6.12/1.21 % (493270)Termination reason: Instruction limit
% 6.12/1.21 % (493270)Termination phase: Saturation
% 6.12/1.21 % (493270)Time elapsed: 0.136 s
% 6.12/1.21 % (493270)Peak memory usage: 12 MB
% 6.12/1.21 % (493270)Instructions burned: 270 (million)
% 6.12/1.21 % (493264)Instruction limit reached!
% 6.12/1.21 % (493264)------------------------------
% 6.12/1.21 % (493264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.21 % (493264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.21 % (493264)CaDiCaL version: 2.1.3
% 6.12/1.21 % (493264)Termination reason: Instruction limit
% 6.12/1.21 % (493264)Termination phase: Saturation
% 6.12/1.21 % (493264)Time elapsed: 0.177 s
% 6.12/1.21 % (493264)Peak memory usage: 12 MB
% 6.12/1.21 % (493264)Instructions burned: 374 (million)
% 6.12/1.21 % (493288)Refutation not found, incomplete strategy
% 6.12/1.21 % (493288)------------------------------
% 6.12/1.21 % (493288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.21 % (493288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.21 % (493288)CaDiCaL version: 2.1.3
% 6.12/1.21 % (493288)Termination reason: Refutation not found, incomplete strategy
% 6.12/1.21 % (493288)Time elapsed: 0.002 s
% 6.12/1.21 % (493288)Peak memory usage: 12 MB
% 6.12/1.21 % (493288)Instructions burned: 2 (million)
% 6.12/1.21 % (493288)------------------------------
% 6.12/1.21 % (493288)------------------------------
% 6.12/1.21 % (493292)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 6.12/1.21 % (493291)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=3160525303:i=1254:kws=precedence:bd=preordered:av=off:rtra=on_2992 on theBenchmark for (2992ds/1254Mi)
% 6.12/1.21 % (493292)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=2533407536:s2a=on:i=281:add=on:rtra=on:fe=axiom:fdi=1024_2992 on theBenchmark for (2992ds/281Mi)
% 6.12/1.21 % (493291)Refutation not found, incomplete strategy
% 6.12/1.21 % (493291)------------------------------
% 6.12/1.21 % (493291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.21 % (493291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.21 % (493291)CaDiCaL version: 2.1.3
% 6.12/1.21 % (493291)Termination reason: Refutation not found, incomplete strategy
% 6.12/1.21 % (493291)Time elapsed: 0.002 s
% 6.12/1.21 % (493291)Peak memory usage: 11 MB
% 6.12/1.21 % (493291)Instructions burned: 3 (million)
% 6.12/1.21 % (493291)------------------------------
% 6.12/1.21 % (493291)------------------------------
% 6.12/1.21 % (493290)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2877152336:hsq=on:st=2:i=232:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2992 on theBenchmark for (2992ds/232Mi)
% 6.12/1.21 % (493290)Refutation not found, incomplete strategy
% 6.12/1.21 % (493290)------------------------------
% 6.12/1.21 % (493290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.12/1.21 % (493290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.12/1.21 % (493290)CaDiCaL version: 2.1.3
% 6.12/1.21 % (493290)Termination reason: Refutation not found, incomplete strategy
% 6.12/1.21 % (493290)Time elapsed: 0.001 s
% 6.12/1.21 % (493290)Peak memory usage: 11 MB
% 6.12/1.21 % (493290)Instructions burned: 1 (million)
% 6.12/1.21 % (493290)------------------------------
% 6.12/1.21 % (493290)------------------------------
% 6.84/1.30 % (493282)Instruction limit reached!
% 6.84/1.30 % (493282)------------------------------
% 6.84/1.30 % (493282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.30 % (493282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.30 % (493282)CaDiCaL version: 2.1.3
% 6.84/1.30 % (493282)Termination reason: Instruction limit
% 6.84/1.30 % (493282)Termination phase: Saturation
% 6.84/1.30 % (493282)Time elapsed: 0.060 s
% 6.84/1.30 % (493282)Peak memory usage: 12 MB
% 6.84/1.30 % (493282)Instructions burned: 112 (million)
% 6.84/1.30 % (493295)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3085691716:i=619:add=on:rtra=on_2992 on theBenchmark for (2992ds/619Mi)
% 6.84/1.30 % (493295)Refutation not found, incomplete strategy
% 6.84/1.30 % (493295)------------------------------
% 6.84/1.30 % (493295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.30 % (493295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.30 % (493295)CaDiCaL version: 2.1.3
% 6.84/1.30 % (493295)Termination reason: Refutation not found, incomplete strategy
% 6.84/1.30 % (493295)Time elapsed: 0.002 s
% 6.84/1.30 % (493295)Peak memory usage: 12 MB
% 6.84/1.30 % (493295)Instructions burned: 3 (million)
% 6.84/1.30 % (493295)------------------------------
% 6.84/1.30 % (493295)------------------------------
% 6.84/1.30 % (493298)lrs+10_1_sil=128000:si=on:urr=on:random_seed=2952821454:i=212:sd=1:rtra=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/212Mi)
% 6.84/1.30 % (493298)Refutation not found, incomplete strategy
% 6.84/1.30 % (493298)------------------------------
% 6.84/1.30 % (493298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.30 % (493298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.30 % (493298)CaDiCaL version: 2.1.3
% 6.84/1.30 % (493298)Termination reason: Refutation not found, incomplete strategy
% 6.84/1.30 % (493298)Time elapsed: 0.001 s
% 6.84/1.30 % (493298)Peak memory usage: 11 MB
% 6.84/1.30 % (493298)Instructions burned: 1 (million)
% 6.84/1.30 % (493298)------------------------------
% 6.84/1.30 % (493298)------------------------------
% 6.84/1.30 % (493297)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=4121526142:i=865:bs=unit_only:ins=25:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/865Mi)
% 6.84/1.30 % (493300)lrs+1010_64_sil=128000:si=on:avsql=on:uwa=off:random_seed=2678807855:hsq=on:st=3:avsq=on:i=130:avsqr=1,16:sd=1:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/130Mi)
% 6.84/1.30 % (493300)Refutation not found, incomplete strategy
% 6.84/1.30 % (493300)------------------------------
% 6.84/1.30 % (493300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.30 % (493300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.30 % (493300)CaDiCaL version: 2.1.3
% 6.84/1.30 % (493300)Termination reason: Refutation not found, incomplete strategy
% 6.84/1.30 % (493300)Time elapsed: 0.001 s
% 6.84/1.30 % (493300)Peak memory usage: 11 MB
% 6.84/1.30 % (493300)Instructions burned: 1 (million)
% 6.84/1.30 % (493300)------------------------------
% 6.84/1.30 % (493300)------------------------------
% 6.84/1.30 % (493275)Instruction limit reached!
% 6.84/1.30 % (493275)------------------------------
% 6.84/1.30 % (493275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.30 % (493275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.30 % (493275)CaDiCaL version: 2.1.3
% 6.84/1.30 % (493275)Termination reason: Instruction limit
% 6.84/1.30 % (493275)Termination phase: Saturation
% 6.84/1.30 % (493275)Time elapsed: 0.130 s
% 6.84/1.30 % (493275)Peak memory usage: 12 MB
% 6.84/1.30 % (493275)Instructions burned: 271 (million)
% 6.84/1.30 % (493302)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1766431617:st=1.5:i=346:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/346Mi)
% 6.84/1.30 % (493302)Refutation not found, incomplete strategy
% 6.84/1.30 % (493302)------------------------------
% 6.84/1.30 % (493302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.84/1.30 % (493302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.84/1.30 % (493302)CaDiCaL version: 2.1.3
% 6.84/1.30 % (493302)Termination reason: Refutation not found, incomplete strategy
% 7.69/1.50 % (493302)Time elapsed: 0.001 s
% 7.69/1.50 % (493302)Peak memory usage: 11 MB
% 7.69/1.50 % (493302)Instructions burned: 1 (million)
% 7.69/1.50 % (493302)------------------------------
% 7.69/1.50 % (493302)------------------------------
% 7.69/1.50 % (493305)lrs+1010_3_sil=128000:si=on:slsq=on:random_seed=2068068682:avsq=on:i=152:avsqr=8,1:hud=5:ins=1:fsr=off:rtra=on_2991 on theBenchmark for (2991ds/152Mi)
% 7.69/1.50 % (493306)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2607043528:i=75:ep=R:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/75Mi)
% 7.69/1.50 % (493308)dis+10_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:nwc=5:random_seed=1164215713:st=2.5:i=387:sd=2:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/387Mi)
% 7.69/1.50 % (493308)Refutation not found, incomplete strategy
% 7.69/1.50 % (493308)------------------------------
% 7.69/1.50 % (493308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.50 % (493308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.50 % (493308)CaDiCaL version: 2.1.3
% 7.69/1.50 % (493308)Termination reason: Refutation not found, incomplete strategy
% 7.69/1.50 % (493308)Time elapsed: 0.001 s
% 7.69/1.50 % (493308)Peak memory usage: 11 MB
% 7.69/1.50 % (493308)Instructions burned: 1 (million)
% 7.69/1.50 % (493308)------------------------------
% 7.69/1.50 % (493308)------------------------------
% 7.69/1.50 % (493312)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=1168737764:uwa_fpi=on:i=148:doe=on:bd=preordered:rtra=on:fsd=on_2991 on theBenchmark for (2991ds/148Mi)
% 7.69/1.50 % (493306)Instruction limit reached!
% 7.69/1.50 % (493306)------------------------------
% 7.69/1.50 % (493306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.50 % (493306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.50 % (493306)CaDiCaL version: 2.1.3
% 7.69/1.50 % (493306)Termination reason: Instruction limit
% 7.69/1.50 % (493306)Termination phase: Saturation
% 7.69/1.50 % (493306)Time elapsed: 0.036 s
% 7.69/1.50 % (493306)Peak memory usage: 12 MB
% 7.69/1.50 % (493306)Instructions burned: 75 (million)
% 7.69/1.50 % (493314)dis+1010_3_si=on:uwa=one_side_interpreted:random_seed=279132731:i=161:piset=and:rtra=on:ntd=on_2991 on theBenchmark for (2991ds/161Mi)
% 7.69/1.50 % (493305)Instruction limit reached!
% 7.69/1.50 % (493305)------------------------------
% 7.69/1.50 % (493305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.50 % (493305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.50 % (493305)CaDiCaL version: 2.1.3
% 7.69/1.50 % (493305)Termination reason: Instruction limit
% 7.69/1.50 % (493305)Termination phase: Saturation
% 7.69/1.50 % (493305)Time elapsed: 0.072 s
% 7.69/1.50 % (493305)Peak memory usage: 12 MB
% 7.69/1.50 % (493305)Instructions burned: 154 (million)
% 7.69/1.50 % (493292)Instruction limit reached!
% 7.69/1.50 % (493292)------------------------------
% 7.69/1.50 % (493292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.50 % (493292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.50 % (493292)CaDiCaL version: 2.1.3
% 7.69/1.50 % (493292)Termination reason: Instruction limit
% 7.69/1.50 % (493292)Termination phase: Saturation
% 7.69/1.50 % (493292)Time elapsed: 0.147 s
% 7.69/1.50 % (493292)Peak memory usage: 13 MB
% 7.69/1.50 % (493292)Instructions burned: 281 (million)
% 7.69/1.50 % (493316)lrs+10_1_sil=128000:si=on:random_seed=2242252266:st=5:i=888:sd=3:bd=preordered:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/888Mi)
% 7.69/1.50 % (493316)Refutation not found, incomplete strategy
% 7.69/1.50 % (493316)------------------------------
% 7.69/1.50 % (493316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.69/1.50 % (493316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/1.50 % (493316)CaDiCaL version: 2.1.3
% 7.69/1.50 % (493316)Termination reason: Refutation not found, incomplete strategy
% 7.69/1.50 % (493316)Time elapsed: 0.001 s
% 7.69/1.50 % (493316)Peak memory usage: 11 MB
% 7.69/1.50 % (493316)Instructions burned: 1 (million)
% 7.69/1.50 % (493316)------------------------------
% 7.69/1.50 % (493316)------------------------------
% 7.69/1.50 % (493312)Instruction limit reached!
% 7.69/1.50 % (493312)------------------------------
% 7.69/1.50 % (493312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.68 % (493312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.68 % (493312)CaDiCaL version: 2.1.3
% 8.39/1.68 % (493312)Termination reason: Instruction limit
% 8.39/1.68 % (493312)Termination phase: Saturation
% 8.39/1.68 % (493312)Time elapsed: 0.071 s
% 8.39/1.68 % (493312)Peak memory usage: 12 MB
% 8.39/1.68 % (493312)Instructions burned: 149 (million)
% 8.39/1.68 % (493317)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=859036755:i=136:add=on:ins=4:rtra=on:sup=off_2990 on theBenchmark for (2990ds/136Mi)
% 8.39/1.68 % (493317)Refutation not found, incomplete strategy
% 8.39/1.68 % (493317)------------------------------
% 8.39/1.68 % (493317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.68 % (493317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.68 % (493317)CaDiCaL version: 2.1.3
% 8.39/1.68 % (493317)Termination reason: Refutation not found, incomplete strategy
% 8.39/1.68 % (493317)Time elapsed: 0.002 s
% 8.39/1.68 % (493317)Peak memory usage: 12 MB
% 8.39/1.68 % (493317)Instructions burned: 3 (million)
% 8.39/1.68 % (493317)------------------------------
% 8.39/1.68 % (493317)------------------------------
% 8.39/1.68 % (493319)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=1087808061:i=88:s2at=3:nm=2:rtra=on:rawr=on_2990 on theBenchmark for (2990ds/88Mi)
% 8.39/1.68 % (493314)Instruction limit reached!
% 8.39/1.68 % (493314)------------------------------
% 8.39/1.68 % (493314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.68 % (493314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.68 % (493314)CaDiCaL version: 2.1.3
% 8.39/1.68 % (493314)Termination reason: Instruction limit
% 8.39/1.68 % (493314)Termination phase: Saturation
% 8.39/1.68 % (493314)Time elapsed: 0.057 s
% 8.39/1.68 % (493314)Peak memory usage: 12 MB
% 8.39/1.68 % (493314)Instructions burned: 164 (million)
% 8.39/1.68 % (493320)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=133884486:s2a=on:cond=on:i=93:add=on:bd=preordered:rtra=on:er=filter_2990 on theBenchmark for (2990ds/93Mi)
% 8.39/1.68 % (493322)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2260076494:i=2186:rtra=on:ixr=off_2990 on theBenchmark for (2990ds/2186Mi)
% 8.39/1.68 % (493324)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4046330637:s2a=on:i=240:rtra=on:ntd=on_2990 on theBenchmark for (2990ds/240Mi)
% 8.39/1.68 % (493319)Instruction limit reached!
% 8.39/1.68 % (493319)------------------------------
% 8.39/1.68 % (493319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.68 % (493319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.68 % (493319)CaDiCaL version: 2.1.3
% 8.39/1.68 % (493319)Termination reason: Instruction limit
% 8.39/1.68 % (493319)Termination phase: Saturation
% 8.39/1.68 % (493319)Time elapsed: 0.039 s
% 8.39/1.68 % (493319)Peak memory usage: 12 MB
% 8.39/1.68 % (493319)Instructions burned: 89 (million)
% 8.39/1.68 % (493320)Instruction limit reached!
% 8.39/1.68 % (493320)------------------------------
% 8.39/1.68 % (493320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.68 % (493320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.68 % (493320)CaDiCaL version: 2.1.3
% 8.39/1.68 % (493320)Termination reason: Instruction limit
% 8.39/1.68 % (493320)Termination phase: Saturation
% 8.39/1.68 % (493320)Time elapsed: 0.048 s
% 8.39/1.68 % (493320)Peak memory usage: 12 MB
% 8.39/1.68 % (493320)Instructions burned: 93 (million)
% 8.39/1.68 % (493328)dis+10_1_to=lpo:sil=128000:tgt=ground:si=on:urr=on:cbe=off:uwa=one_side_constant:nwc=5:random_seed=3553159627:i=805:aac=none:doe=on:piset=not:bd=all:rtra=on:fe=abstraction_2990 on theBenchmark for (2990ds/805Mi)
% 8.39/1.68 % (493329)WARNING Broken Constraint: if avatar_split_queue_cutoffs(1) has been set then avatar_split_queue(off) is equal to on
% 8.39/1.68 % (493329)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=4219990763:st=2:s2a=on:i=391:sd=4:bd=preordered:nm=16:rtra=on:ss=axioms:rawr=on_2989 on theBenchmark for (2989ds/391Mi)
% 9.03/1.78 % (493329)Refutation not found, incomplete strategy
% 9.03/1.78 % (493329)------------------------------
% 9.03/1.78 % (493329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.03/1.78 % (493329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.78 % (493329)CaDiCaL version: 2.1.3
% 9.03/1.78 % (493329)Termination reason: Refutation not found, incomplete strategy
% 9.03/1.78 % (493329)Time elapsed: 0.002 s
% 9.03/1.78 % (493329)Peak memory usage: 11 MB
% 9.03/1.78 % (493329)Instructions burned: 1 (million)
% 9.03/1.78 % (493329)------------------------------
% 9.03/1.78 % (493329)------------------------------
% 9.03/1.78 % (493332)dis+10_1_sil=128000:si=on:urr=on:uwa=off:random_seed=2641457195:i=355:av=off:fsr=off:rtra=on:ixr=off_2989 on theBenchmark for (2989ds/355Mi)
% 9.03/1.78 % (493324)Instruction limit reached!
% 9.03/1.78 % (493324)------------------------------
% 9.03/1.78 % (493324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.03/1.78 % (493324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.78 % (493324)CaDiCaL version: 2.1.3
% 9.03/1.78 % (493324)Termination reason: Instruction limit
% 9.03/1.78 % (493324)Termination phase: Saturation
% 9.03/1.78 % (493324)Time elapsed: 0.097 s
% 9.03/1.78 % (493324)Peak memory usage: 12 MB
% 9.03/1.78 % (493324)Instructions burned: 242 (million)
% 9.03/1.78 % (493334)lrs+1010_5:1_sil=128000:si=on:uwa=interpreted_only:sac=on:slsq=on:random_seed=394605363:lrd=on:i=314:sd=1:rtra=on:ss=axioms_2989 on theBenchmark for (2989ds/314Mi)
% 9.03/1.78 % (493334)Refutation not found, incomplete strategy
% 9.03/1.78 % (493334)------------------------------
% 9.03/1.78 % (493334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.03/1.78 % (493334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.78 % (493334)CaDiCaL version: 2.1.3
% 9.03/1.78 % (493334)Termination reason: Refutation not found, incomplete strategy
% 9.03/1.78 % (493334)Time elapsed: 0.001 s
% 9.03/1.78 % (493334)Peak memory usage: 11 MB
% 9.03/1.78 % (493334)Instructions burned: 1 (million)
% 9.03/1.78 % (493334)------------------------------
% 9.03/1.78 % (493334)------------------------------
% 9.03/1.78 % (493336)lrs+10_1_sil=128000:e2e=on:si=on:cbe=off:uwa=interpreted_only:cs=on:random_seed=1516773087:s2a=on:i=251:fsr=off:rtra=on_2989 on theBenchmark for (2989ds/251Mi)
% 9.03/1.78 % (493280)Instruction limit reached!
% 9.03/1.78 % (493280)------------------------------
% 9.03/1.78 % (493280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.03/1.78 % (493280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.78 % (493280)CaDiCaL version: 2.1.3
% 9.03/1.78 % (493280)Termination reason: Instruction limit
% 9.03/1.78 % (493280)Termination phase: Saturation
% 9.03/1.78 % (493280)Time elapsed: 0.481 s
% 9.03/1.78 % (493280)Peak memory usage: 13 MB
% 9.03/1.78 % (493280)Instructions burned: 1441 (million)
% 9.03/1.78 % (493332)Instruction limit reached!
% 9.03/1.78 % (493332)------------------------------
% 9.03/1.78 % (493332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.03/1.78 % (493332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.78 % (493332)CaDiCaL version: 2.1.3
% 9.03/1.78 % (493332)Termination reason: Instruction limit
% 9.03/1.78 % (493332)Termination phase: Saturation
% 9.03/1.78 % (493332)Time elapsed: 0.158 s
% 9.03/1.78 % (493332)Peak memory usage: 12 MB
% 9.03/1.78 % (493332)Instructions burned: 357 (million)
% 9.03/1.78 % (493338)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=1683702757: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)
% 9.03/1.78 % (493336)Instruction limit reached!
% 9.03/1.78 % (493336)------------------------------
% 9.03/1.78 % (493336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.03/1.78 % (493336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.03/1.78 % (493336)CaDiCaL version: 2.1.3
% 9.03/1.78 % (493336)Termination reason: Instruction limit
% 9.03/1.78 % (493336)Termination phase: Saturation
% 9.03/1.78 % (493336)Time elapsed: 0.108 s
% 9.03/1.78 % (493336)Peak memory usage: 12 MB
% 9.03/1.78 % (493336)Instructions burned: 251 (million)
% 9.03/1.78 % (493339)dis+10_6_sil=128000:si=on:sp=arity:bce=on:cbe=off:uwa=interpreted_only:slsqc=4:slsq=on:random_seed=2745092007:i=673:doe=on:fgj=on:piset=and:slsql=off:rtra=on:fdi=1024:ntd=on_2987 on theBenchmark for (2987ds/673Mi)
% 10.02/1.97 % (493341)lrs+10_64_anc=all_dependent:sil=128000:e2e=on:si=on:cbe=off:uwa=off:random_seed=2254303099:i=116:ep=RSTC:rtra=on:ntd=on_2987 on theBenchmark for (2987ds/116Mi)
% 10.02/1.97 % (493297)Instruction limit reached!
% 10.02/1.97 % (493297)------------------------------
% 10.02/1.97 % (493297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/1.97 % (493297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/1.97 % (493297)CaDiCaL version: 2.1.3
% 10.02/1.97 % (493297)Termination reason: Instruction limit
% 10.02/1.97 % (493297)Termination phase: Saturation
% 10.02/1.97 % (493297)Time elapsed: 0.449 s
% 10.02/1.97 % (493297)Peak memory usage: 15 MB
% 10.02/1.97 % (493297)Instructions burned: 865 (million)
% 10.02/1.97 % (493344)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3844570525:cts=off:i=270:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2987 on theBenchmark for (2987ds/270Mi)
% 10.02/1.97 % (493341)Instruction limit reached!
% 10.02/1.97 % (493341)------------------------------
% 10.02/1.97 % (493341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/1.97 % (493341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/1.97 % (493341)CaDiCaL version: 2.1.3
% 10.02/1.97 % (493341)Termination reason: Instruction limit
% 10.02/1.97 % (493341)Termination phase: Saturation
% 10.02/1.97 % (493341)Time elapsed: 0.050 s
% 10.02/1.97 % (493341)Peak memory usage: 12 MB
% 10.02/1.97 % (493341)Instructions burned: 118 (million)
% 10.02/1.97 % (493346)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=1436892457: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_2987 on theBenchmark for (2987ds/30Mi)
% 10.02/1.97 % (493346)Instruction limit reached!
% 10.02/1.97 % (493346)------------------------------
% 10.02/1.97 % (493346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/1.97 % (493346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/1.97 % (493346)CaDiCaL version: 2.1.3
% 10.02/1.97 % (493346)Termination reason: Instruction limit
% 10.02/1.97 % (493346)Termination phase: Saturation
% 10.02/1.97 % (493346)Time elapsed: 0.014 s
% 10.02/1.97 % (493346)Peak memory usage: 12 MB
% 10.02/1.97 % (493346)Instructions burned: 30 (million)
% 10.02/1.97 % (493348)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 10.02/1.97 % (493328)Instruction limit reached!
% 10.02/1.97 % (493328)------------------------------
% 10.02/1.97 % (493328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/1.97 % (493328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/1.97 % (493328)CaDiCaL version: 2.1.3
% 10.02/1.97 % (493328)Termination reason: Instruction limit
% 10.02/1.97 % (493328)Termination phase: Saturation
% 10.02/1.97 % (493328)Time elapsed: 0.327 s
% 10.02/1.97 % (493328)Peak memory usage: 13 MB
% 10.02/1.97 % (493328)Instructions burned: 807 (million)
% 10.02/1.97 % (493348)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3448024537:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2986 on theBenchmark for (2986ds/39Mi)
% 10.02/1.97 % (493349)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=762396247:i=365:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2986 on theBenchmark for (2986ds/365Mi)
% 10.02/1.97 % (493348)Instruction limit reached!
% 10.02/1.97 % (493348)------------------------------
% 10.02/1.97 % (493348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/1.97 % (493348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/1.97 % (493348)CaDiCaL version: 2.1.3
% 10.02/1.97 % (493348)Termination reason: Instruction limit
% 10.02/1.97 % (493348)Termination phase: Saturation
% 10.02/1.97 % (493348)Time elapsed: 0.020 s
% 10.02/1.97 % (493348)Peak memory usage: 12 MB
% 10.02/1.97 % (493348)Instructions burned: 39 (million)
% 10.02/1.97 % (493352)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2638855033:i=158:av=off:rtra=on_2986 on theBenchmark for (2986ds/158Mi)
% 10.02/1.97 % (493344)Instruction limit reached!
% 10.02/2.04 % (493344)------------------------------
% 10.02/2.04 % (493344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/2.04 % (493344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.04 % (493344)CaDiCaL version: 2.1.3
% 10.02/2.04 % (493344)Termination reason: Instruction limit
% 10.02/2.04 % (493344)Termination phase: Saturation
% 10.02/2.04 % (493344)Time elapsed: 0.118 s
% 10.02/2.04 % (493344)Peak memory usage: 12 MB
% 10.02/2.04 % (493344)Instructions burned: 271 (million)
% 10.02/2.04 % (493354)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
% 10.02/2.04 % (493354)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=3710500078:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/252Mi)
% 10.02/2.04 % (493352)Instruction limit reached!
% 10.02/2.04 % (493352)------------------------------
% 10.02/2.04 % (493352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/2.04 % (493352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.04 % (493352)CaDiCaL version: 2.1.3
% 10.02/2.04 % (493352)Termination reason: Instruction limit
% 10.02/2.04 % (493352)Termination phase: Saturation
% 10.02/2.04 % (493352)Time elapsed: 0.073 s
% 10.02/2.04 % (493352)Peak memory usage: 12 MB
% 10.02/2.04 % (493352)Instructions burned: 158 (million)
% 10.02/2.04 % (493356)lrs+10_1_cnfonf=off:si=on:sos=on:uwa=off:random_seed=448553045:i=213:rtra=on:ss=axioms_2985 on theBenchmark for (2985ds/213Mi)
% 10.02/2.04 % (493356)Refutation not found, incomplete strategy
% 10.02/2.04 % (493356)------------------------------
% 10.02/2.04 % (493356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/2.04 % (493356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.04 % (493356)CaDiCaL version: 2.1.3
% 10.02/2.04 % (493356)Termination reason: Refutation not found, incomplete strategy
% 10.02/2.04 % (493356)Time elapsed: 0.001 s
% 10.02/2.04 % (493356)Peak memory usage: 11 MB
% 10.02/2.04 % (493356)Instructions burned: 1 (million)
% 10.02/2.04 % (493356)------------------------------
% 10.02/2.04 % (493356)------------------------------
% 10.02/2.04 % (493349)Instruction limit reached!
% 10.02/2.04 % (493349)------------------------------
% 10.02/2.04 % (493349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/2.04 % (493349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.04 % (493349)CaDiCaL version: 2.1.3
% 10.02/2.04 % (493349)Termination reason: Instruction limit
% 10.02/2.04 % (493349)Termination phase: Saturation
% 10.02/2.04 % (493349)Time elapsed: 0.125 s
% 10.02/2.04 % (493349)Peak memory usage: 13 MB
% 10.02/2.04 % (493349)Instructions burned: 365 (million)
% 10.02/2.04 % (493358)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=1664002055:st=3:i=160:s2at=3:bd=preordered:nm=16:rtra=on:ss=axioms:ntd=on_2985 on theBenchmark for (2985ds/160Mi)
% 10.02/2.04 % (493358)Refutation not found, incomplete strategy
% 10.02/2.04 % (493358)------------------------------
% 10.02/2.04 % (493358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.02/2.04 % (493358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.02/2.04 % (493358)CaDiCaL version: 2.1.3
% 10.02/2.04 % (493358)Termination reason: Refutation not found, incomplete strategy
% 10.02/2.04 % (493358)Time elapsed: 0.001 s
% 10.02/2.04 % (493358)Peak memory usage: 11 MB
% 10.02/2.04 % (493358)Instructions burned: 1 (million)
% 10.02/2.04 % (493358)------------------------------
% 10.02/2.04 % (493358)------------------------------
% 10.02/2.04 % (493359)lrs+1010_2:3_sil=128000:cnfonf=off:e2e=on:si=on:sp=unary_first:uwa=off:br=off:lftc=80:random_seed=4185140687:hsq=on:hsqr=16,1:i=763:kws=inv_frequency:piset=and:bd=all:rtra=on:ntd=on_2985 on theBenchmark for (2985ds/763Mi)
% 10.02/2.04 % (493361)WARNING Broken Constraint: if ho_split_queue_layered_arrangement(off) has been set then ho_split_queue(off) is equal to on
% 10.02/2.04 % (493361)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=559884468:i=237:hsql=off:fgj=on:piset=all_but_not_eq:bd=preordered:av=off:rtra=on:ss=axioms:sgt=4:rawr=on_2984 on theBenchmark for (2984ds/237Mi)
% 12.53/2.09 % (493361)Refutation not found, incomplete strategy
% 12.53/2.09 % (493361)------------------------------
% 12.53/2.09 % (493361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.53/2.09 % (493361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.09 % (493361)CaDiCaL version: 2.1.3
% 12.53/2.09 % (493361)Termination reason: Refutation not found, incomplete strategy
% 12.53/2.09 % (493361)Time elapsed: 0.001 s
% 12.53/2.09 % (493361)Peak memory usage: 11 MB
% 12.53/2.09 % (493361)------------------------------
% 12.53/2.09 % (493361)------------------------------
% 12.53/2.09 % (493339)Instruction limit reached!
% 12.53/2.09 % (493339)------------------------------
% 12.53/2.09 % (493339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.53/2.09 % (493339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.09 % (493339)CaDiCaL version: 2.1.3
% 12.53/2.09 % (493339)Termination reason: Instruction limit
% 12.53/2.09 % (493339)Termination phase: Saturation
% 12.53/2.09 % (493339)Time elapsed: 0.292 s
% 12.53/2.09 % (493339)Peak memory usage: 13 MB
% 12.53/2.09 % (493339)Instructions burned: 673 (million)
% 12.53/2.09 % (493354)Instruction limit reached!
% 12.53/2.09 % (493354)------------------------------
% 12.53/2.09 % (493354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.53/2.09 % (493354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.09 % (493354)CaDiCaL version: 2.1.3
% 12.53/2.09 % (493354)Termination reason: Instruction limit
% 12.53/2.09 % (493354)Termination phase: Saturation
% 12.53/2.09 % (493354)Time elapsed: 0.100 s
% 12.53/2.09 % (493354)Peak memory usage: 13 MB
% 12.53/2.09 % (493354)Instructions burned: 254 (million)
% 12.53/2.09 % (493364)dis+1002_1_drc=ordering:cnfonf=lazy_not_gen_be_off:si=on:lma=off:cbe=off:uwa=off:random_seed=1900386670:s2a=on:i=386:rtra=on:ntd=on_2984 on theBenchmark for (2984ds/386Mi)
% 12.53/2.09 % (493366)dis+1010_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:urr=on:random_seed=3252081970:st=5:s2a=on:i=567:sd=2:rtra=on:ss=axioms_2984 on theBenchmark for (2984ds/567Mi)
% 12.53/2.09 % (493366)Refutation not found, incomplete strategy
% 12.53/2.09 % (493366)------------------------------
% 12.53/2.09 % (493366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.53/2.09 % (493366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.09 % (493366)CaDiCaL version: 2.1.3
% 12.53/2.09 % (493366)Termination reason: Refutation not found, incomplete strategy
% 12.53/2.09 % (493366)Time elapsed: 0.001 s
% 12.53/2.09 % (493366)Peak memory usage: 11 MB
% 12.53/2.09 % (493366)Instructions burned: 1 (million)
% 12.53/2.09 % (493366)------------------------------
% 12.53/2.09 % (493366)------------------------------
% 12.53/2.09 % (493365)dis+10_128_to=lpo:sil=128000:si=on:spb=intro:uwa=off:random_seed=1988650385:i=300:piset=and:nm=32:rtra=on_2984 on theBenchmark for (2984ds/300Mi)
% 12.53/2.09 % (493369)lrs+1010_1_si=on:uwa=one_side_interpreted:random_seed=1520809685:s2a=on:i=379:sd=1:rtra=on:ss=axioms:sgt=128_2984 on theBenchmark for (2984ds/379Mi)
% 12.53/2.09 % (493369)Refutation not found, incomplete strategy
% 12.53/2.09 % (493369)------------------------------
% 12.53/2.09 % (493369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.53/2.09 % (493369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.10 % (493369)CaDiCaL version: 2.1.3
% 12.53/2.10 % (493369)Termination reason: Refutation not found, incomplete strategy
% 12.53/2.10 % (493369)Time elapsed: 0.001 s
% 12.53/2.10 % (493369)Peak memory usage: 11 MB
% 12.53/2.10 % (493369)Instructions burned: 1 (million)
% 12.53/2.10 % (493369)------------------------------
% 12.53/2.10 % (493369)------------------------------
% 12.53/2.10 % (493372)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=1472888768:s2a=on:i=429:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2984 on theBenchmark for (2984ds/429Mi)
% 12.53/2.10 % (493365)Instruction limit reached!
% 12.53/2.10 % (493365)------------------------------
% 12.53/2.10 % (493365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.53/2.10 % (493365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.53/2.10 % (493365)CaDiCaL version: 2.1.3
% 12.53/2.10 % (493365)Termination reason: Instruction limit
% 12.53/2.10 % (493365)Termination phase: Saturation
% 12.53/2.10 % (493365)Time elapsed: 0.148 s
% 12.53/2.10 % (493365)Peak memory usage: 12 MB
% 13.25/2.24 % (493365)Instructions burned: 300 (million)
% 13.25/2.24 % (493364)Instruction limit reached!
% 13.25/2.24 % (493364)------------------------------
% 13.25/2.24 % (493364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.24 % (493364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.24 % (493364)CaDiCaL version: 2.1.3
% 13.25/2.24 % (493364)Termination reason: Instruction limit
% 13.25/2.24 % (493364)Termination phase: Saturation
% 13.25/2.24 % (493364)Time elapsed: 0.172 s
% 13.25/2.24 % (493364)Peak memory usage: 12 MB
% 13.25/2.24 % (493364)Instructions burned: 388 (million)
% 13.25/2.24 % (493322)Instruction limit reached!
% 13.25/2.24 % (493322)------------------------------
% 13.25/2.24 % (493322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.24 % (493322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.24 % (493322)CaDiCaL version: 2.1.3
% 13.25/2.24 % (493322)Termination reason: Instruction limit
% 13.25/2.24 % (493322)Termination phase: Saturation
% 13.25/2.24 % (493322)Time elapsed: 0.744 s
% 13.25/2.24 % (493322)Peak memory usage: 13 MB
% 13.25/2.24 % (493322)Instructions burned: 2187 (million)
% 13.25/2.24 % (493374)ott+10_1_to=lpo:sil=128000:e2e=on:si=on:sos=on:uwa=off:sac=on:random_seed=3600604554:i=478:bd=all:rtra=on_2982 on theBenchmark for (2982ds/478Mi)
% 13.25/2.24 % (493374)Refutation not found, incomplete strategy
% 13.25/2.24 % (493374)------------------------------
% 13.25/2.24 % (493374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.24 % (493374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.24 % (493374)CaDiCaL version: 2.1.3
% 13.25/2.24 % (493374)Termination reason: Refutation not found, incomplete strategy
% 13.25/2.24 % (493374)Time elapsed: 0.002 s
% 13.25/2.24 % (493374)Peak memory usage: 12 MB
% 13.25/2.24 % (493374)Instructions burned: 2 (million)
% 13.25/2.24 % (493374)------------------------------
% 13.25/2.24 % (493374)------------------------------
% 13.25/2.24 % (493375)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1104988864:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2982 on theBenchmark for (2982ds/445Mi)
% 13.25/2.24 % (493376)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1744393415:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2982 on theBenchmark for (2982ds/71Mi)
% 13.25/2.24 % (493379)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2698452876:i=302:sd=2:bd=preordered:rtra=on:ss=axioms_2982 on theBenchmark for (2982ds/302Mi)
% 13.25/2.24 % (493379)Refutation not found, incomplete strategy
% 13.25/2.24 % (493379)------------------------------
% 13.25/2.24 % (493379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.24 % (493379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.24 % (493379)CaDiCaL version: 2.1.3
% 13.25/2.24 % (493379)Termination reason: Refutation not found, incomplete strategy
% 13.25/2.24 % (493379)Time elapsed: 0.001 s
% 13.25/2.24 % (493379)Peak memory usage: 11 MB
% 13.25/2.24 % (493379)Instructions burned: 1 (million)
% 13.25/2.24 % (493379)------------------------------
% 13.25/2.24 % (493379)------------------------------
% 13.25/2.24 % (493359)Instruction limit reached!
% 13.25/2.24 % (493359)------------------------------
% 13.25/2.24 % (493359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.25/2.24 % (493359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.25/2.24 % (493359)CaDiCaL version: 2.1.3
% 13.25/2.24 % (493359)Termination reason: Instruction limit
% 13.25/2.24 % (493359)Termination phase: Saturation
% 13.25/2.24 % (493359)Time elapsed: 0.248 s
% 13.25/2.24 % (493359)Peak memory usage: 12 MB
% 13.25/2.24 % (493359)Instructions burned: 763 (million)
% 13.25/2.24 % (493383)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
% 13.25/2.24 % (493383)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 13.25/2.24 % (493382)lrs+10_1_sil=128000:fde=none:cnfonf=off:si=on:uwa=off:random_seed=300194711:s2a=on:i=4980:sd=2:bd=all:rtra=on:ss=axioms:ntd=on_2982 on theBenchmark for (2982ds/4980Mi)
% 13.25/2.24 % (493376)Instruction limit reached!
% 13.25/2.24 % (493376)------------------------------
% 13.25/2.24 % (493376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.35 % (493376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.35 % (493376)CaDiCaL version: 2.1.3
% 13.78/2.35 % (493376)Termination reason: Instruction limit
% 13.78/2.35 % (493376)Termination phase: Saturation
% 13.78/2.35 % (493376)Time elapsed: 0.038 s
% 13.78/2.35 % (493376)Peak memory usage: 12 MB
% 13.78/2.35 % (493376)Instructions burned: 72 (million)
% 13.78/2.35 % (493382)Refutation not found, incomplete strategy
% 13.78/2.35 % (493382)------------------------------
% 13.78/2.35 % (493382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.35 % (493382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.35 % (493382)CaDiCaL version: 2.1.3
% 13.78/2.35 % (493382)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.35 % (493382)Time elapsed: 0.001 s
% 13.78/2.35 % (493382)Peak memory usage: 11 MB
% 13.78/2.35 % (493382)Instructions burned: 1 (million)
% 13.78/2.35 % (493383)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3366660597:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2982 on theBenchmark for (2982ds/100Mi)
% 13.78/2.35 % (493382)------------------------------
% 13.78/2.35 % (493382)------------------------------
% 13.78/2.35 % (493372)Instruction limit reached!
% 13.78/2.35 % (493372)------------------------------
% 13.78/2.35 % (493372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.35 % (493372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.35 % (493372)CaDiCaL version: 2.1.3
% 13.78/2.35 % (493372)Termination reason: Instruction limit
% 13.78/2.35 % (493372)Termination phase: Saturation
% 13.78/2.35 % (493372)Time elapsed: 0.199 s
% 13.78/2.35 % (493372)Peak memory usage: 12 MB
% 13.78/2.35 % (493372)Instructions burned: 430 (million)
% 13.78/2.35 % (493385)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=2988243112:i=76:piset=equals:rtra=on:ntd=on_2982 on theBenchmark for (2982ds/76Mi)
% 13.78/2.35 % (493387)lrs+10_1_to=lpo:sil=128000:cnfonf=off:si=on:sp=unary_first:sos=all:spb=goal:uwa=off:random_seed=4185208988:i=289:rtra=on_2982 on theBenchmark for (2982ds/289Mi)
% 13.78/2.35 % (493387)Refutation not found, incomplete strategy
% 13.78/2.35 % (493387)------------------------------
% 13.78/2.35 % (493387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.35 % (493387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.35 % (493387)CaDiCaL version: 2.1.3
% 13.78/2.35 % (493387)Termination reason: Refutation not found, incomplete strategy
% 13.78/2.35 % (493387)Time elapsed: 0.001 s
% 13.78/2.35 % (493387)Peak memory usage: 12 MB
% 13.78/2.35 % (493387)Instructions burned: 2 (million)
% 13.78/2.35 % (493387)------------------------------
% 13.78/2.35 % (493387)------------------------------
% 13.78/2.35 % (493388)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=2702518145:i=493:s2at=5:kws=frequency:doe=on:rtra=on:er=known_2982 on theBenchmark for (2982ds/493Mi)
% 13.78/2.35 % (493391)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=2556209165:cond=on:i=34:hud=10:nm=10:rtra=on_2982 on theBenchmark for (2982ds/34Mi)
% 13.78/2.35 % (493383)Instruction limit reached!
% 13.78/2.35 % (493383)------------------------------
% 13.78/2.35 % (493383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.35 % (493383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.35 % (493383)CaDiCaL version: 2.1.3
% 13.78/2.35 % (493383)Termination reason: Instruction limit
% 13.78/2.35 % (493383)Termination phase: Saturation
% 13.78/2.35 % (493383)Time elapsed: 0.046 s
% 13.78/2.35 % (493383)Peak memory usage: 12 MB
% 13.78/2.35 % (493383)Instructions burned: 101 (million)
% 13.78/2.35 % (493385)Instruction limit reached!
% 13.78/2.35 % (493385)------------------------------
% 13.78/2.35 % (493385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/2.35 % (493385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/2.35 % (493385)CaDiCaL version: 2.1.3
% 13.78/2.35 % (493385)Termination reason: Instruction limit
% 13.78/2.35 % (493385)Termination phase: Saturation
% 13.78/2.35 % (493385)Time elapsed: 0.037 s
% 14.39/2.42 % (493385)Peak memory usage: 12 MB
% 14.39/2.42 % (493385)Instructions burned: 78 (million)
% 14.39/2.42 % (493391)Instruction limit reached!
% 14.39/2.42 % (493391)------------------------------
% 14.39/2.42 % (493391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.39/2.42 % (493391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.42 % (493391)CaDiCaL version: 2.1.3
% 14.39/2.42 % (493391)Termination reason: Instruction limit
% 14.39/2.42 % (493391)Termination phase: Saturation
% 14.39/2.42 % (493391)Time elapsed: 0.018 s
% 14.39/2.42 % (493391)Peak memory usage: 12 MB
% 14.39/2.42 % (493391)Instructions burned: 34 (million)
% 14.39/2.42 % (493394)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 14.39/2.42 % (493394)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=1590141590:i=372:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2981 on theBenchmark for (2981ds/372Mi)
% 14.39/2.42 % (493394)Refutation not found, incomplete strategy
% 14.39/2.42 % (493394)------------------------------
% 14.39/2.42 % (493394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.39/2.42 % (493394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.42 % (493394)CaDiCaL version: 2.1.3
% 14.39/2.42 % (493394)Termination reason: Refutation not found, incomplete strategy
% 14.39/2.42 % (493394)Time elapsed: 0.002 s
% 14.39/2.42 % (493394)Peak memory usage: 11 MB
% 14.39/2.42 % (493394)Instructions burned: 3 (million)
% 14.39/2.42 % (493394)------------------------------
% 14.39/2.42 % (493394)------------------------------
% 14.39/2.42 % (493395)lrs+1002_1024_sil=128000:tgt=ground:e2e=on:si=on:uwa=interpreted_only:fd=off:nwc=1:random_seed=3370492214:cts=off:avsq=on:i=670:avsqr=1,16:nm=16:rtra=on_2981 on theBenchmark for (2981ds/670Mi)
% 14.39/2.42 % (493396)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3052116597:hsq=on:st=2:i=647:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2981 on theBenchmark for (2981ds/647Mi)
% 14.39/2.42 % (493396)Refutation not found, incomplete strategy
% 14.39/2.42 % (493396)------------------------------
% 14.39/2.42 % (493396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.39/2.42 % (493396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.42 % (493396)CaDiCaL version: 2.1.3
% 14.39/2.42 % (493396)Termination reason: Refutation not found, incomplete strategy
% 14.39/2.42 % (493396)Time elapsed: 0.001 s
% 14.39/2.42 % (493396)Peak memory usage: 11 MB
% 14.39/2.42 % (493396)Instructions burned: 1 (million)
% 14.39/2.42 % (493396)------------------------------
% 14.39/2.42 % (493396)------------------------------
% 14.39/2.42 % (493398)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=2423184699:i=857:add=off:kws=frequency:rtra=on:ntd=on_2981 on theBenchmark for (2981ds/857Mi)
% 14.39/2.42 % (493401)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=617187331:i=693:add=off:fsr=off:rtra=on:fe=abstraction:ntd=on_2981 on theBenchmark for (2981ds/693Mi)
% 14.39/2.42 % (493375)Instruction limit reached!
% 14.39/2.42 % (493375)------------------------------
% 14.39/2.42 % (493375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.39/2.42 % (493375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.42 % (493375)CaDiCaL version: 2.1.3
% 14.39/2.42 % (493375)Termination reason: Instruction limit
% 14.39/2.42 % (493375)Termination phase: Saturation
% 14.39/2.42 % (493375)Time elapsed: 0.222 s
% 14.39/2.42 % (493375)Peak memory usage: 14 MB
% 14.39/2.42 % (493375)Instructions burned: 446 (million)
% 14.39/2.42 % (493404)dis+10_7_sil=128000:cnfonf=lazy_gen:si=on:sos=on:random_seed=3492445683:i=285:hud=10:bd=all:rtra=on:ss=axioms_2980 on theBenchmark for (2980ds/285Mi)
% 14.39/2.42 % (493404)Refutation not found, incomplete strategy
% 14.39/2.42 % (493404)------------------------------
% 14.39/2.42 % (493404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.39/2.42 % (493404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.42 % (493404)CaDiCaL version: 2.1.3
% 14.39/2.42 % (493404)Termination reason: Refutation not found, incomplete strategy
% 14.39/2.47 % (493404)Time elapsed: 0.001 s
% 14.39/2.47 % (493404)Peak memory usage: 11 MB
% 14.39/2.47 % (493404)Instructions burned: 1 (million)
% 14.39/2.47 % (493404)------------------------------
% 14.39/2.47 % (493404)------------------------------
% 14.39/2.47 % (493406)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 14.39/2.47 % (493406)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=2250598747:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2980 on theBenchmark for (2980ds/52Mi)
% 14.39/2.47 % (493406)Instruction limit reached!
% 14.39/2.47 % (493406)------------------------------
% 14.39/2.47 % (493406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.39/2.47 % (493406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.47 % (493406)CaDiCaL version: 2.1.3
% 14.39/2.47 % (493406)Termination reason: Instruction limit
% 14.39/2.47 % (493406)Termination phase: Saturation
% 14.39/2.47 % (493406)Time elapsed: 0.022 s
% 14.39/2.47 % (493406)Peak memory usage: 12 MB
% 14.39/2.47 % (493406)Instructions burned: 54 (million)
% 14.39/2.47 % (493388)Instruction limit reached!
% 14.39/2.47 % (493388)------------------------------
% 14.39/2.47 % (493388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.39/2.47 % (493388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.47 % (493388)CaDiCaL version: 2.1.3
% 14.39/2.47 % (493388)Termination reason: Instruction limit
% 14.39/2.47 % (493388)Termination phase: Saturation
% 14.39/2.47 % (493388)Time elapsed: 0.212 s
% 14.39/2.47 % (493388)Peak memory usage: 13 MB
% 14.39/2.47 % (493388)Instructions burned: 493 (million)
% 14.39/2.47 % (493408)dis+10_1_si=on:random_seed=3798658376:i=407:sd=4:rtra=on:ss=axioms:sgt=20_2979 on theBenchmark for (2979ds/407Mi)
% 14.39/2.47 % (493408)Refutation not found, incomplete strategy
% 14.39/2.47 % (493408)------------------------------
% 14.39/2.47 % (493408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.39/2.47 % (493408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.47 % (493408)CaDiCaL version: 2.1.3
% 14.39/2.47 % (493408)Termination reason: Refutation not found, incomplete strategy
% 14.39/2.47 % (493408)Time elapsed: 0.001 s
% 14.39/2.47 % (493408)Peak memory usage: 11 MB
% 14.39/2.47 % (493408)Instructions burned: 1 (million)
% 14.39/2.47 % (493408)------------------------------
% 14.39/2.47 % (493408)------------------------------
% 14.39/2.47 % (493409)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=2977707098:i=2240:bs=unit_only:ins=25:rtra=on:ntd=on_2979 on theBenchmark for (2979ds/2240Mi)
% 14.39/2.47 % (493411)lrs+10_1_sil=128000:e2e=on:si=on:uwa=interpreted_only:random_seed=3069551282:st=2:i=336:sd=1:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/336Mi)
% 14.39/2.47 % (493411)Refutation not found, incomplete strategy
% 14.39/2.47 % (493411)------------------------------
% 14.39/2.47 % (493411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.39/2.47 % (493411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.47 % (493411)CaDiCaL version: 2.1.3
% 14.39/2.47 % (493411)Termination reason: Refutation not found, incomplete strategy
% 14.39/2.47 % (493411)Time elapsed: 0.001 s
% 14.39/2.47 % (493411)Peak memory usage: 11 MB
% 14.39/2.47 % (493411)Instructions burned: 1 (million)
% 14.39/2.47 % (493411)------------------------------
% 14.39/2.47 % (493411)------------------------------
% 14.39/2.47 % (493414)lrs+10_1_to=lpo:sil=128000:fde=none:cnfonf=off:si=on:sp=unary_first:urr=on:uwa=one_side_constant:random_seed=721829585:s2a=on:i=1142:s2at=3:bd=all:rtra=on_2979 on theBenchmark for (2979ds/1142Mi)
% 14.39/2.47 % (493414)Refutation not found, incomplete strategy
% 14.39/2.47 % (493414)------------------------------
% 14.39/2.47 % (493414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.39/2.47 % (493414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.39/2.47 % (493414)CaDiCaL version: 2.1.3
% 14.39/2.47 % (493414)Termination reason: Refutation not found, incomplete strategy
% 14.39/2.47 % (493414)Time elapsed: 0.012 s
% 14.39/2.47 % (493414)Peak memory usage: 12 MB
% 14.39/2.47 % (493414)Instructions burned: 22 (million)
% 14.39/2.47 % (493395)Instruction limit reached!
% 14.39/2.47 % (493395)------------------------------
% 15.56/2.66 % (493395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.56/2.66 % (493395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.56/2.66 % (493395)CaDiCaL version: 2.1.3
% 15.56/2.66 % (493395)Termination reason: Instruction limit
% 15.56/2.66 % (493395)Termination phase: Saturation
% 15.56/2.66 % (493395)Time elapsed: 0.241 s
% 15.56/2.66 % (493395)Peak memory usage: 12 MB
% 15.56/2.66 % (493395)Instructions burned: 672 (million)
% 15.56/2.66 % (493414)------------------------------
% 15.56/2.66 % (493414)------------------------------
% 15.56/2.66 % (493416)dis+1002_1_sil=128000:si=on:uwa=off:random_seed=2449130543:st=3:i=376:sd=4:rtra=on:ss=axioms:ntd=on_2979 on theBenchmark for (2979ds/376Mi)
% 15.56/2.66 % (493417)dis+1002_4:1_anc=none:sil=128000:sas=cadical:si=on:sp=weighted_frequency:sos=on:uwa=one_side_interpreted:random_seed=3557202905:i=766:bd=all:rtra=on_2979 on theBenchmark for (2979ds/766Mi)
% 15.56/2.66 % (493416)Refutation not found, incomplete strategy
% 15.56/2.66 % (493416)------------------------------
% 15.56/2.66 % (493416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.56/2.66 % (493416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.56/2.66 % (493416)CaDiCaL version: 2.1.3
% 15.56/2.66 % (493416)Termination reason: Refutation not found, incomplete strategy
% 15.56/2.66 % (493416)Time elapsed: 0.001 s
% 15.56/2.66 % (493416)Peak memory usage: 12 MB
% 15.56/2.66 % (493416)Instructions burned: 1 (million)
% 15.56/2.66 % (493416)------------------------------
% 15.56/2.66 % (493416)------------------------------
% 15.56/2.66 % (493417)Refutation not found, incomplete strategy
% 15.56/2.66 % (493417)------------------------------
% 15.56/2.66 % (493417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.56/2.66 % (493417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.56/2.66 % (493417)CaDiCaL version: 2.1.3
% 15.56/2.66 % (493417)Termination reason: Refutation not found, incomplete strategy
% 15.56/2.66 % (493417)Time elapsed: 0.002 s
% 15.56/2.66 % (493417)Peak memory usage: 12 MB
% 15.56/2.66 % (493417)Instructions burned: 2 (million)
% 15.56/2.66 % (493417)------------------------------
% 15.56/2.66 % (493417)------------------------------
% 15.56/2.66 % (493420)WARNING Broken Constraint: if avatar_split_queue_cutoffs(4) has been set then avatar_split_queue(off) is equal to on
% 15.56/2.66 % (493420)lrs+10_1_to=kbo:si=on:sp=const_frequency:sos=on:spb=non_intro:uwa=hol:avsqc=4:random_seed=1265215771: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_2978 on theBenchmark for (2978ds/959Mi)
% 15.56/2.66 % (493421)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=4209356293:i=6359:add=on:kws=inv_frequency:aac=none:rtra=on:c=on:er=filter:ntd=on_2978 on theBenchmark for (2978ds/6359Mi)
% 15.56/2.66 % (493420)Refutation not found, incomplete strategy
% 15.56/2.66 % (493420)------------------------------
% 15.56/2.66 % (493420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.56/2.66 % (493420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.56/2.66 % (493420)CaDiCaL version: 2.1.3
% 15.56/2.66 % (493420)Termination reason: Refutation not found, incomplete strategy
% 15.56/2.66 % (493420)Time elapsed: 0.001 s
% 15.56/2.66 % (493420)Peak memory usage: 11 MB
% 15.56/2.66 % (493420)Instructions burned: 1 (million)
% 15.56/2.66 % (493420)------------------------------
% 15.56/2.66 % (493420)------------------------------
% 15.56/2.66 % (493401)Instruction limit reached!
% 15.56/2.66 % (493401)------------------------------
% 15.56/2.66 % (493401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.56/2.66 % (493401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.56/2.66 % (493401)CaDiCaL version: 2.1.3
% 15.56/2.66 % (493401)Termination reason: Instruction limit
% 15.56/2.66 % (493401)Termination phase: Saturation
% 15.56/2.66 % (493401)Time elapsed: 0.262 s
% 15.56/2.66 % (493401)Peak memory usage: 12 MB
% 15.56/2.66 % (493401)Instructions burned: 695 (million)
% 15.56/2.66 % (493424)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2580658745:st=4:i=35:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2978 on theBenchmark for (2978ds/35Mi)
% 15.56/2.66 % (493424)Refutation not found, incomplete strategy
% 15.56/2.66 % (493424)------------------------------
% 16.14/2.71 % (493424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/2.71 % (493424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/2.71 % (493424)CaDiCaL version: 2.1.3
% 16.14/2.71 % (493424)Termination reason: Refutation not found, incomplete strategy
% 16.14/2.71 % (493424)Time elapsed: 0.001 s
% 16.14/2.71 % (493424)Peak memory usage: 11 MB
% 16.14/2.71 % (493424)------------------------------
% 16.14/2.71 % (493424)------------------------------
% 16.14/2.71 % (493425)dis+10_1_sfv=off:sil=128000:cnfonf=lazy_gen:si=on:uwa=off:nwc=1:chr=on:random_seed=2058951162:hsq=on:hsqr=1,8:i=53:hsql=off:bd=all:rtra=on:ixr=off_2978 on theBenchmark for (2978ds/53Mi)
% 16.14/2.71 % (493427)dis+21_1_sil=128000:tgt=full:fde=none:e2e=on:si=on:urr=on:uwa=interpreted_only:s2agt=32:sac=on:random_seed=3607846111:s2a=on:i=876:s2at=6:nm=2:rtra=on_2978 on theBenchmark for (2978ds/876Mi)
% 16.14/2.71 % (493425)Instruction limit reached!
% 16.14/2.71 % (493425)------------------------------
% 16.14/2.71 % (493425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/2.71 % (493425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/2.71 % (493425)CaDiCaL version: 2.1.3
% 16.14/2.71 % (493425)Termination reason: Instruction limit
% 16.14/2.71 % (493425)Termination phase: Saturation
% 16.14/2.71 % (493425)Time elapsed: 0.029 s
% 16.14/2.71 % (493425)Peak memory usage: 12 MB
% 16.14/2.71 % (493425)Instructions burned: 54 (million)
% 16.14/2.71 % (493398)Instruction limit reached!
% 16.14/2.71 % (493398)------------------------------
% 16.14/2.71 % (493398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/2.71 % (493398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/2.71 % (493398)CaDiCaL version: 2.1.3
% 16.14/2.71 % (493398)Termination reason: Instruction limit
% 16.14/2.71 % (493398)Termination phase: Saturation
% 16.14/2.71 % (493398)Time elapsed: 0.325 s
% 16.14/2.71 % (493398)Peak memory usage: 12 MB
% 16.14/2.71 % (493398)Instructions burned: 860 (million)
% 16.14/2.71 % (493271)Instruction limit reached!
% 16.14/2.71 % (493271)------------------------------
% 16.14/2.71 % (493271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/2.71 % (493271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/2.71 % (493271)CaDiCaL version: 2.1.3
% 16.14/2.71 % (493271)Termination reason: Instruction limit
% 16.14/2.71 % (493271)Termination phase: Saturation
% 16.14/2.71 % (493271)Time elapsed: 1.570 s
% 16.14/2.71 % (493271)Peak memory usage: 17 MB
% 16.14/2.71 % (493271)Instructions burned: 9845 (million)
% 16.14/2.71 % (493430)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4006235362:i=57:ep=R:rtra=on:ntd=on_2978 on theBenchmark for (2978ds/57Mi)
% 16.14/2.71 % (493432)dis+10_8:1_sil=128000:si=on:uwa=off:random_seed=510812119:i=262:sd=2:bd=preordered:rtra=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/262Mi)
% 16.14/2.71 % (493431)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.14/2.71 % (493432)Refutation not found, incomplete strategy
% 16.14/2.71 % (493432)------------------------------
% 16.14/2.71 % (493432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/2.71 % (493432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/2.71 % (493432)CaDiCaL version: 2.1.3
% 16.14/2.71 % (493432)Termination reason: Refutation not found, incomplete strategy
% 16.14/2.71 % (493432)Time elapsed: 0.0000 s
% 16.14/2.71 % (493432)Peak memory usage: 11 MB
% 16.14/2.71 % (493432)Instructions burned: 1 (million)
% 16.14/2.71 % (493432)------------------------------
% 16.14/2.71 % (493432)------------------------------
% 16.14/2.71 % (493431)dis+1002_1_to=lpo:sil=128000:tgt=full:si=on:sp=const_min:sos=on:fd=preordered:slsqc=2:chr=on:random_seed=2974310519:i=306:bd=all:rtra=on_2978 on theBenchmark for (2978ds/306Mi)
% 16.14/2.71 % (493431)Refutation not found, incomplete strategy
% 16.14/2.71 % (493431)------------------------------
% 16.14/2.71 % (493431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/2.71 % (493431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/2.71 % (493431)CaDiCaL version: 2.1.3
% 16.14/2.71 % (493431)Termination reason: Refutation not found, incomplete strategy
% 16.14/2.71 % (493431)Time elapsed: 0.001 s
% 16.14/2.71 % (493431)Peak memory usage: 12 MB
% 16.23/2.82 % (493431)Instructions burned: 2 (million)
% 16.23/2.82 % (493431)------------------------------
% 16.23/2.82 % (493431)------------------------------
% 16.23/2.82 % (493435)WARNING Broken Constraint: if ho_split_queue_ratios(1,3) has been set then ho_split_queue(off) is equal to on
% 16.23/2.82 % (493435)ott+1002_16_sil=128000:si=on:random_seed=1420176654:hsqr=1,3:i=409:add=on:rtra=on:fe=abstraction_2977 on theBenchmark for (2977ds/409Mi)
% 16.23/2.82 % (493437)dis+10_1_sil=128000:plsq=on:si=on:plsqr=32,1:uwa=off:random_seed=3535755930:s2a=on:i=381:rtra=on_2977 on theBenchmark for (2977ds/381Mi)
% 16.23/2.82 % (493430)Instruction limit reached!
% 16.23/2.82 % (493430)------------------------------
% 16.23/2.82 % (493430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.23/2.82 % (493430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/2.82 % (493430)CaDiCaL version: 2.1.3
% 16.23/2.82 % (493430)Termination reason: Instruction limit
% 16.23/2.82 % (493430)Termination phase: Saturation
% 16.23/2.82 % (493430)Time elapsed: 0.028 s
% 16.23/2.82 % (493430)Peak memory usage: 12 MB
% 16.23/2.82 % (493430)Instructions burned: 59 (million)
% 16.23/2.82 % (493440)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1454057821:cond=on:i=324:rtra=on:ntd=on_2977 on theBenchmark for (2977ds/324Mi)
% 16.23/2.82 % (493435)Instruction limit reached!
% 16.23/2.82 % (493435)------------------------------
% 16.23/2.82 % (493435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.23/2.82 % (493435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/2.82 % (493435)CaDiCaL version: 2.1.3
% 16.23/2.82 % (493435)Termination reason: Instruction limit
% 16.23/2.82 % (493435)Termination phase: Saturation
% 16.23/2.82 % (493435)Time elapsed: 0.080 s
% 16.23/2.82 % (493435)Peak memory usage: 13 MB
% 16.23/2.82 % (493435)Instructions burned: 412 (million)
% 16.23/2.82 % (493442)lrs+10_1_sil=128000:fde=none:si=on:sos=on:spb=goal_then_units:urr=on:random_seed=2487321055:i=240:kws=inv_precedence:rtra=on_2977 on theBenchmark for (2977ds/240Mi)
% 16.23/2.82 % (493442)Refutation not found, incomplete strategy
% 16.23/2.82 % (493442)------------------------------
% 16.23/2.82 % (493442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.23/2.82 % (493442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/2.82 % (493442)CaDiCaL version: 2.1.3
% 16.23/2.82 % (493442)Termination reason: Refutation not found, incomplete strategy
% 16.23/2.82 % (493442)Time elapsed: 0.001 s
% 16.23/2.82 % (493442)Peak memory usage: 12 MB
% 16.23/2.82 % (493442)Instructions burned: 1 (million)
% 16.23/2.82 % (493442)------------------------------
% 16.23/2.82 % (493442)------------------------------
% 16.23/2.82 % (493444)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 16.23/2.82 % (493444)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4215186148:cts=off:uwa_fpi=on:i=124:av=off:fsr=off:rtra=on:ntd=on_2976 on theBenchmark for (2976ds/124Mi)
% 16.23/2.82 % (493444)Instruction limit reached!
% 16.23/2.82 % (493444)------------------------------
% 16.23/2.82 % (493444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.23/2.82 % (493444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/2.82 % (493444)CaDiCaL version: 2.1.3
% 16.23/2.82 % (493444)Termination reason: Instruction limit
% 16.23/2.82 % (493444)Termination phase: Saturation
% 16.23/2.82 % (493444)Time elapsed: 0.024 s
% 16.23/2.82 % (493444)Peak memory usage: 12 MB
% 16.23/2.82 % (493444)Instructions burned: 124 (million)
% 16.23/2.82 % (493446)lrs+1010_2_to=lpo:cnfonf=off:e2e=on:si=on:random_seed=245397032:uwa_fpi=on:i=223:bd=all:rtra=on:fe=abstraction:ntd=on_2976 on theBenchmark for (2976ds/223Mi)
% 16.23/2.82 % (493440)Instruction limit reached!
% 16.23/2.82 % (493440)------------------------------
% 16.23/2.82 % (493440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.23/2.82 % (493440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.23/2.82 % (493440)CaDiCaL version: 2.1.3
% 16.23/2.82 % (493440)Termination reason: Instruction limit
% 16.23/2.82 % (493440)Termination phase: Saturation
% 16.23/2.82 % (493440)Time elapsed: 0.144 s
% 16.23/2.82 % (493440)Peak memory usage: 12 MB
% 16.23/2.82 % (493440)Instructions burned: 325 (million)
% 16.23/2.82 % (493437)Instruction limit reached!
% 16.23/2.82 % (493437)------------------------------
% 16.23/2.82 % (493437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.96 % (493437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.96 % (493437)CaDiCaL version: 2.1.3
% 17.00/2.96 % (493437)Termination reason: Instruction limit
% 17.00/2.96 % (493437)Termination phase: Saturation
% 17.00/2.96 % (493437)Time elapsed: 0.166 s
% 17.00/2.96 % (493437)Peak memory usage: 12 MB
% 17.00/2.96 % (493437)Instructions burned: 382 (million)
% 17.00/2.96 % (493446)Instruction limit reached!
% 17.00/2.96 % (493446)------------------------------
% 17.00/2.96 % (493446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.96 % (493446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.96 % (493446)CaDiCaL version: 2.1.3
% 17.00/2.96 % (493446)Termination reason: Instruction limit
% 17.00/2.96 % (493446)Termination phase: Saturation
% 17.00/2.96 % (493446)Time elapsed: 0.046 s
% 17.00/2.96 % (493446)Peak memory usage: 13 MB
% 17.00/2.96 % (493446)Instructions burned: 229 (million)
% 17.00/2.96 % (493450)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=2273828880:i=88:s2at=3:nm=2:rtra=on:rawr=on_2976 on theBenchmark for (2976ds/88Mi)
% 17.00/2.96 % (493338)Instruction limit reached!
% 17.00/2.96 % (493338)------------------------------
% 17.00/2.96 % (493338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.96 % (493338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.96 % (493338)CaDiCaL version: 2.1.3
% 17.00/2.96 % (493338)Termination reason: Instruction limit
% 17.00/2.96 % (493338)Termination phase: Saturation
% 17.00/2.96 % (493338)Time elapsed: 1.187 s
% 17.00/2.96 % (493338)Peak memory usage: 17 MB
% 17.00/2.96 % (493338)Instructions burned: 2470 (million)
% 17.00/2.96 % (493448)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1385266314:s2a=on:i=282:kws=inv_frequency:bd=all:rtra=on_2976 on theBenchmark for (2976ds/282Mi)
% 17.00/2.96 % (493449)lrs+10_1_sil=128000:tgt=ground:cnfonf=conj_eager:si=on:random_seed=1075956515:s2a=on:i=464:kws=frequency:bd=all:rtra=on:ss=axioms_2976 on theBenchmark for (2976ds/464Mi)
% 17.00/2.96 % (493449)Refutation not found, incomplete strategy
% 17.00/2.96 % (493449)------------------------------
% 17.00/2.96 % (493449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.96 % (493449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.96 % (493449)CaDiCaL version: 2.1.3
% 17.00/2.96 % (493449)Termination reason: Refutation not found, incomplete strategy
% 17.00/2.96 % (493449)Time elapsed: 0.001 s
% 17.00/2.96 % (493449)Peak memory usage: 11 MB
% 17.00/2.96 % (493449)Instructions burned: 1 (million)
% 17.00/2.96 % (493449)------------------------------
% 17.00/2.96 % (493449)------------------------------
% 17.00/2.96 % (493452)dis+1002_5:4_to=kbo:sil=128000:cnfonf=conj_eager:si=on:sp=reverse_arity:lma=off:hi=on:nwc=20:random_seed=1423454216:s2a=on:cond=on:i=280:add=on:bd=preordered:rtra=on:er=filter_2975 on theBenchmark for (2975ds/280Mi)
% 17.00/2.96 % (493450)Instruction limit reached!
% 17.00/2.96 % (493450)------------------------------
% 17.00/2.96 % (493450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.00/2.96 % (493450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.00/2.96 % (493450)CaDiCaL version: 2.1.3
% 17.00/2.96 % (493450)Termination reason: Instruction limit
% 17.00/2.96 % (493450)Termination phase: Saturation
% 17.00/2.96 % (493450)Time elapsed: 0.021 s
% 17.00/2.96 % (493450)Peak memory usage: 12 MB
% 17.00/2.96 % (493450)Instructions burned: 90 (million)
% 17.00/2.96 % (493455)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 17.00/2.96 % (493455)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=4034876153:i=4386:hud=10:nm=16:av=off:rtra=on:ntd=on_2975 on theBenchmark for (2975ds/4386Mi)
% 17.00/2.96 % (493457)WARNING Broken Constraint: if lookahaed_delay(10) has been set then selection(21) is not lookahead selection
% 17.00/2.96 % (493457)WARNING Broken Constraint: if mono_ep(off) has been set then equality_proxy(off) is not equal to off
% 17.00/2.96 % (493457)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=2289745484:hsq=on:st=2:i=483:sd=1:hsql=off:rtra=on:fe=abstraction:fdi=32:ss=axioms:sgt=20:ntd=on_2975 on theBenchmark for (2975ds/483Mi)
% 20.14/3.17 % (493457)Refutation not found, incomplete strategy
% 20.14/3.17 % (493457)------------------------------
% 20.14/3.17 % (493457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.14/3.17 % (493457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.14/3.17 % (493457)CaDiCaL version: 2.1.3
% 20.14/3.17 % (493457)Termination reason: Refutation not found, incomplete strategy
% 20.14/3.17 % (493457)Time elapsed: 0.0000 s
% 20.14/3.17 % (493457)Peak memory usage: 12 MB
% 20.14/3.17 % (493457)Instructions burned: 1 (million)
% 20.14/3.17 % (493457)------------------------------
% 20.14/3.17 % (493457)------------------------------
% 20.14/3.17 % (493460)lrs+10_1_sil=128000:drc=off:si=on:sos=on:erd=off:urr=on:uwa=interpreted_only:random_seed=1196642191:i=73:rtra=on_2975 on theBenchmark for (2975ds/73Mi)
% 20.14/3.17 % (493460)Refutation not found, incomplete strategy
% 20.14/3.17 % (493460)------------------------------
% 20.14/3.17 % (493460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.14/3.17 % (493460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.14/3.17 % (493460)CaDiCaL version: 2.1.3
% 20.14/3.17 % (493460)Termination reason: Refutation not found, incomplete strategy
% 20.14/3.17 % (493460)Time elapsed: 0.001 s
% 20.14/3.17 % (493460)Peak memory usage: 12 MB
% 20.14/3.17 % (493460)Instructions burned: 2 (million)
% 20.14/3.17 % (493460)------------------------------
% 20.14/3.17 % (493460)------------------------------
% 20.14/3.17 % (493462)dis+2_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:fdtod=off:sp=const_max:lma=off:random_seed=3559238723:cts=off:i=176:doe=on:hud=5:bs=unit_only:bd=preordered:nm=30:ins=25:rtra=on_2975 on theBenchmark for (2975ds/176Mi)
% 20.14/3.17 % (493462)Instruction limit reached!
% 20.14/3.17 % (493462)------------------------------
% 20.14/3.17 % (493462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.14/3.17 % (493462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.14/3.17 % (493462)CaDiCaL version: 2.1.3
% 20.14/3.17 % (493462)Termination reason: Instruction limit
% 20.14/3.17 % (493462)Termination phase: Saturation
% 20.14/3.17 % (493462)Time elapsed: 0.042 s
% 20.14/3.17 % (493462)Peak memory usage: 12 MB
% 20.14/3.17 % (493462)Instructions burned: 180 (million)
% 20.14/3.17 % (493464)WARNING Broken Constraint: if sine_tolerance(12) has been set then sine_selection(off) is not equal to off
% 20.14/3.17 % (493464)dis+1010_128_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=hol:nwc=2:flr=on:random_seed=3547057528:st=12:uwa_fpi=on:i=39:nm=40:ins=7:rtra=on_2974 on theBenchmark for (2974ds/39Mi)
% 20.14/3.17 % (493464)Instruction limit reached!
% 20.14/3.17 % (493464)------------------------------
% 20.14/3.17 % (493464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.14/3.17 % (493464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.14/3.17 % (493464)CaDiCaL version: 2.1.3
% 20.14/3.17 % (493464)Termination reason: Instruction limit
% 20.14/3.17 % (493464)Termination phase: Saturation
% 20.14/3.17 % (493464)Time elapsed: 0.011 s
% 20.14/3.17 % (493464)Peak memory usage: 12 MB
% 20.14/3.17 % (493464)Instructions burned: 40 (million)
% 20.14/3.17 % (493466)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3291601166:i=708:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2974 on theBenchmark for (2974ds/708Mi)
% 20.14/3.17 % (493448)Instruction limit reached!
% 20.14/3.17 % (493448)------------------------------
% 20.14/3.17 % (493448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.14/3.17 % (493448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.14/3.17 % (493448)CaDiCaL version: 2.1.3
% 20.14/3.17 % (493448)Termination reason: Instruction limit
% 20.14/3.17 % (493448)Termination phase: Saturation
% 20.14/3.17 % (493448)Time elapsed: 0.143 s
% 20.14/3.17 % (493448)Peak memory usage: 13 MB
% 20.14/3.17 % (493448)Instructions burned: 283 (million)
% 20.14/3.17 % (493427)Instruction limit reached!
% 20.14/3.17 % (493427)------------------------------
% 20.14/3.17 % (493427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.14/3.17 % (493427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.14/3.17 % (493427)CaDiCaL version: 2.1.3
% 20.14/3.17 % (493427)Termination reason: Instruction limit
% 20.14/3.17 % (493427)Termination phase: Saturation
% 20.14/3.17 % (493427)Time elapsed: 0.389 s
% 20.14/3.17 % (493427)Peak memory usage: 13 MB
% 20.39/3.25 % (493427)Instructions burned: 876 (million)
% 20.39/3.25 % (493452)Instruction limit reached!
% 20.39/3.25 % (493452)------------------------------
% 20.39/3.25 % (493452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.25 % (493452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.25 % (493452)CaDiCaL version: 2.1.3
% 20.39/3.25 % (493452)Termination reason: Instruction limit
% 20.39/3.25 % (493452)Termination phase: Saturation
% 20.39/3.25 % (493452)Time elapsed: 0.139 s
% 20.39/3.25 % (493452)Peak memory usage: 13 MB
% 20.39/3.25 % (493452)Instructions burned: 281 (million)
% 20.39/3.25 % (493468)WARNING Broken Constraint: if sine_to_age_tolerance(3) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 20.39/3.25 % (493468)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=1790755332:avsq=on:i=252:s2at=3:avsqr=1,16:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/252Mi)
% 20.39/3.25 % (493469)dis+10_4_sil=128000:tgt=full:fde=unused:cnfonf=lazy_not_gen:sas=cadical:si=on:uwa=off:sac=on:random_seed=654982839:i=823:fsr=off:rtra=on_2974 on theBenchmark for (2974ds/823Mi)
% 20.39/3.25 % (493470)WARNING Broken Constraint: lrs_first_time_check(100) is less than 100
% 20.39/3.25 % (493470)lrs+1010_7_anc=all_dependent:sil=128000:cnfonf=lazy_not_gen:si=on:urr=on:rp=on:sac=on:lftc=100:random_seed=679436029:lrd=on:st=3:i=16202:add=on:sd=3:kws=frequency:rtra=on:ss=axioms_2974 on theBenchmark for (2974ds/16202Mi)
% 20.39/3.25 % (493470)Refutation not found, incomplete strategy
% 20.39/3.25 % (493470)------------------------------
% 20.39/3.25 % (493470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.25 % (493470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.25 % (493470)CaDiCaL version: 2.1.3
% 20.39/3.25 % (493470)Termination reason: Refutation not found, incomplete strategy
% 20.39/3.25 % (493470)Time elapsed: 0.001 s
% 20.39/3.25 % (493470)Peak memory usage: 11 MB
% 20.39/3.25 % (493470)Instructions burned: 1 (million)
% 20.39/3.25 % (493470)------------------------------
% 20.39/3.25 % (493470)------------------------------
% 20.39/3.25 % (493474)dis+10_1_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:uwa=off:random_seed=3832140758:s2a=on:i=300:s2at=10:bd=all:rtra=on:ntd=on_2974 on theBenchmark for (2974ds/300Mi)
% 20.39/3.25 % (493466)Instruction limit reached!
% 20.39/3.25 % (493466)------------------------------
% 20.39/3.25 % (493466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.25 % (493466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.25 % (493466)CaDiCaL version: 2.1.3
% 20.39/3.25 % (493466)Termination reason: Instruction limit
% 20.39/3.25 % (493466)Termination phase: Saturation
% 20.39/3.25 % (493466)Time elapsed: 0.121 s
% 20.39/3.25 % (493466)Peak memory usage: 13 MB
% 20.39/3.25 % (493466)Instructions burned: 711 (million)
% 20.39/3.25 % (493476)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(2) has been set then positive_literal_split_queue(off) is equal to on
% 20.39/3.25 % (493476)WARNING Broken Constraint: if ho_split_queue_lambda_weight(0) has been set then ho_split_queue(off) is equal to on
% 20.39/3.25 % (493476)dis+1010_1_anc=none:sil=128000:plsqc=2:sas=cadical:si=on:hsqlw=0:uwa=one_side_interpreted:sac=on:random_seed=3000183503:i=177:add=on:bd=preordered:rtra=on:rawr=on_2973 on theBenchmark for (2973ds/177Mi)
% 20.39/3.25 % (493468)Instruction limit reached!
% 20.39/3.25 % (493468)------------------------------
% 20.39/3.25 % (493468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.39/3.25 % (493468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.39/3.25 % (493468)CaDiCaL version: 2.1.3
% 20.39/3.25 % (493468)Termination reason: Instruction limit
% 20.39/3.25 % (493468)Termination phase: Saturation
% 20.39/3.25 % (493468)Time elapsed: 0.103 s
% 20.39/3.25 % (493468)Peak memory usage: 12 MB
% 20.39/3.25 % (493468)Instructions burned: 254 (million)
% 20.39/3.25 % (493478)lrs+10_1_cnfonf=conj_eager:si=on:random_seed=2678720607:st=1.5:s2a=on:i=715:rtra=on:ss=axioms_2973 on theBenchmark for (2973ds/715Mi)
% 20.39/3.25 % (493478)Refutation not found, incomplete strategy
% 20.39/3.25 % (493478)------------------------------
% 20.39/3.25 % (493478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.36 % (493478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.36 % (493478)CaDiCaL version: 2.1.3
% 20.80/3.36 % (493478)Termination reason: Refutation not found, incomplete strategy
% 20.80/3.36 % (493478)Time elapsed: 0.001 s
% 20.80/3.36 % (493478)Peak memory usage: 11 MB
% 20.80/3.36 % (493478)Instructions burned: 2 (million)
% 20.80/3.36 % (493478)------------------------------
% 20.80/3.36 % (493478)------------------------------
% 20.80/3.36 % (493476)Instruction limit reached!
% 20.80/3.36 % (493476)------------------------------
% 20.80/3.36 % (493476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.36 % (493476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.36 % (493476)CaDiCaL version: 2.1.3
% 20.80/3.36 % (493476)Termination reason: Instruction limit
% 20.80/3.36 % (493476)Termination phase: Saturation
% 20.80/3.36 % (493476)Time elapsed: 0.044 s
% 20.80/3.36 % (493476)Peak memory usage: 13 MB
% 20.80/3.36 % (493476)Instructions burned: 182 (million)
% 20.80/3.36 % (493480)WARNING Broken Constraint: if positive_literal_split_queue_cutoffs(3) has been set then positive_literal_split_queue(off) is equal to on
% 20.80/3.36 % (493480)WARNING Broken Constraint: if positive_literal_split_queue_ratios(19,3) has been set then positive_literal_split_queue(off) is equal to on
% 20.80/3.36 % (493480)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=1834662138:i=230:add=on:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2973 on theBenchmark for (2973ds/230Mi)
% 20.80/3.36 % (493480)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 20.80/3.36 % (493481)dis+32_3_cha=on:sil=128000:drc=off:si=on:cbe=off:uwa=interpreted_only:nwc=3:random_seed=762353485:s2a=on:i=606:s2at=5:add=on:sd=2:ep=R:bd=preordered:rtra=on:ss=included:sgt=40_2972 on theBenchmark for (2972ds/606Mi)
% 20.80/3.36 % (493474)Instruction limit reached!
% 20.80/3.36 % (493474)------------------------------
% 20.80/3.36 % (493474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.36 % (493474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.36 % (493474)CaDiCaL version: 2.1.3
% 20.80/3.36 % (493474)Termination reason: Instruction limit
% 20.80/3.36 % (493474)Termination phase: Saturation
% 20.80/3.36 % (493474)Time elapsed: 0.129 s
% 20.80/3.36 % (493474)Peak memory usage: 12 MB
% 20.80/3.36 % (493474)Instructions burned: 302 (million)
% 20.80/3.36 % (493484)WARNING Broken Constraint: if lrs_retroactive_deletes(on) has been set then saturation_algorithm(otter) is equal to lrs
% 20.80/3.36 % (493484)ott+2_2:1_sil=128000:tgt=full:drc=off:si=on:lma=off:urr=on:cbe=off:uwa=interpreted_only:random_seed=479589440:lrd=on:i=841:nm=0:rtra=on_2972 on theBenchmark for (2972ds/841Mi)
% 20.80/3.36 % (493480)Instruction limit reached!
% 20.80/3.36 % (493480)------------------------------
% 20.80/3.36 % (493480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.36 % (493480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.36 % (493480)CaDiCaL version: 2.1.3
% 20.80/3.36 % (493480)Termination reason: Instruction limit
% 20.80/3.36 % (493480)Termination phase: Saturation
% 20.80/3.36 % (493480)Time elapsed: 0.105 s
% 20.80/3.36 % (493480)Peak memory usage: 12 MB
% 20.80/3.36 % (493480)Instructions burned: 230 (million)
% 20.80/3.36 % (493486)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2976556319:i=445:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2971 on theBenchmark for (2971ds/445Mi)
% 20.80/3.36 % (493481)Instruction limit reached!
% 20.80/3.36 % (493481)------------------------------
% 20.80/3.36 % (493481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.80/3.36 % (493481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.80/3.36 % (493481)CaDiCaL version: 2.1.3
% 20.80/3.36 % (493481)Termination reason: Instruction limit
% 20.80/3.36 % (493481)Termination phase: Saturation
% 20.80/3.36 % (493481)Time elapsed: 0.150 s
% 20.80/3.36 % (493481)Peak memory usage: 12 MB
% 20.80/3.36 % (493481)Instructions burned: 609 (million)
% 20.80/3.36 % (493488)ott+1003_1_to=kbo:cnfonf=lazy_pi_sigma_gen:si=on:sp=weighted_frequency:spb=units:urr=on:cbe=off:random_seed=1660762640:uwa_fpi=on:i=71:hud=10:rtra=on:ixr=off_2971 on theBenchmark for (2971ds/71Mi)
% 20.80/3.36 % (493488)Instruction limit reached!
% 20.80/3.36 % (493488)------------------------------
% 21.92/3.43 % (493488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.92/3.43 % (493488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.92/3.43 % (493488)CaDiCaL version: 2.1.3
% 21.92/3.43 % (493488)Termination reason: Instruction limit
% 21.92/3.43 % (493488)Termination phase: Saturation
% 21.92/3.43 % (493488)Time elapsed: 0.019 s
% 21.92/3.43 % (493488)Peak memory usage: 12 MB
% 21.92/3.43 % (493488)Instructions burned: 71 (million)
% 21.92/3.43 % (493490)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 21.92/3.43 % (493490)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 21.92/3.43 % (493490)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2407437756:i=100:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2970 on theBenchmark for (2970ds/100Mi)
% 21.92/3.43 % (493469)Instruction limit reached!
% 21.92/3.43 % (493469)------------------------------
% 21.92/3.43 % (493469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.92/3.43 % (493469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.92/3.43 % (493469)CaDiCaL version: 2.1.3
% 21.92/3.43 % (493469)Termination reason: Instruction limit
% 21.92/3.43 % (493469)Termination phase: Saturation
% 21.92/3.43 % (493469)Time elapsed: 0.342 s
% 21.92/3.43 % (493469)Peak memory usage: 13 MB
% 21.92/3.43 % (493469)Instructions burned: 824 (million)
% 21.92/3.43 % (493492)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(3) has been set then sine_level_split_queue(off) is equal to on
% 21.92/3.43 % (493490)Instruction limit reached!
% 21.92/3.43 % (493490)------------------------------
% 21.92/3.43 % (493490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.92/3.43 % (493490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.92/3.43 % (493490)CaDiCaL version: 2.1.3
% 21.92/3.43 % (493490)Termination reason: Instruction limit
% 21.92/3.43 % (493490)Termination phase: Saturation
% 21.92/3.43 % (493490)Time elapsed: 0.024 s
% 21.92/3.43 % (493490)Peak memory usage: 12 MB
% 21.92/3.43 % (493490)Instructions burned: 101 (million)
% 21.92/3.43 % (493492)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=1643656439:i=1352:add=on:aac=none:rtra=on_2970 on theBenchmark for (2970ds/1352Mi)
% 21.92/3.43 % (493492)Refutation not found, incomplete strategy
% 21.92/3.43 % (493492)------------------------------
% 21.92/3.43 % (493492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.92/3.43 % (493492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.92/3.43 % (493492)CaDiCaL version: 2.1.3
% 21.92/3.43 % (493492)Termination reason: Refutation not found, incomplete strategy
% 21.92/3.43 % (493492)Time elapsed: 0.002 s
% 21.92/3.43 % (493492)Peak memory usage: 12 MB
% 21.92/3.43 % (493492)Instructions burned: 3 (million)
% 21.92/3.43 % (493492)------------------------------
% 21.92/3.43 % (493492)------------------------------
% 21.92/3.43 % (493494)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=1423024160:hsq=on:hsqr=16,1:s2a=on:i=646:nm=16:rtra=on:gtg=exists_top:proc=on_2970 on theBenchmark for (2970ds/646Mi)
% 21.92/3.43 % (493495)lrs+10_1_sil=128000:si=on:uwa=all:random_seed=1404523243:i=1924:sd=2:kws=precedence:bd=all:rtra=on:ss=axioms:sgt=16_2970 on theBenchmark for (2970ds/1924Mi)
% 21.92/3.43 % (493495)Refutation not found, incomplete strategy
% 21.92/3.43 % (493495)------------------------------
% 21.92/3.43 % (493495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.92/3.43 % (493495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.92/3.43 % (493495)CaDiCaL version: 2.1.3
% 21.92/3.43 % (493495)Termination reason: Refutation not found, incomplete strategy
% 21.92/3.43 % (493495)Time elapsed: 0.001 s
% 21.92/3.43 % (493495)Peak memory usage: 11 MB
% 21.92/3.43 % (493495)------------------------------
% 21.92/3.43 % (493495)------------------------------
% 21.92/3.43 % (493498)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1520871503:hsq=on:i=984:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2970 on theBenchmark for (2970ds/984Mi)
% 22.32/3.55 % (493498)Refutation not found, incomplete strategy
% 22.32/3.55 % (493498)------------------------------
% 22.32/3.55 % (493498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.32/3.55 % (493498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.32/3.55 % (493498)CaDiCaL version: 2.1.3
% 22.32/3.55 % (493498)Termination reason: Refutation not found, incomplete strategy
% 22.32/3.55 % (493498)Time elapsed: 0.001 s
% 22.32/3.55 % (493498)Peak memory usage: 12 MB
% 22.32/3.55 % (493498)Instructions burned: 2 (million)
% 22.32/3.55 % (493498)------------------------------
% 22.32/3.55 % (493498)------------------------------
% 22.32/3.55 % (493500)dis+10_128_sil=128000:drc=ordering:fde=unused:si=on:lma=off:uwa=interpreted_only:avsqc=4:random_seed=3300716622:avsq=on:i=592:add=off:kws=inv_frequency:bd=preordered:rtra=on_2970 on theBenchmark for (2970ds/592Mi)
% 22.32/3.55 % (493494)Instruction limit reached!
% 22.32/3.55 % (493494)------------------------------
% 22.32/3.55 % (493494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.32/3.55 % (493494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.32/3.55 % (493494)CaDiCaL version: 2.1.3
% 22.32/3.55 % (493494)Termination reason: Instruction limit
% 22.32/3.55 % (493494)Termination phase: Saturation
% 22.32/3.55 % (493494)Time elapsed: 0.104 s
% 22.32/3.55 % (493494)Peak memory usage: 13 MB
% 22.32/3.55 % (493494)Instructions burned: 650 (million)
% 22.32/3.55 % (493486)Instruction limit reached!
% 22.32/3.55 % (493486)------------------------------
% 22.32/3.55 % (493486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.32/3.55 % (493486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.32/3.55 % (493486)CaDiCaL version: 2.1.3
% 22.32/3.55 % (493486)Termination reason: Instruction limit
% 22.32/3.55 % (493486)Termination phase: Saturation
% 22.32/3.55 % (493486)Time elapsed: 0.219 s
% 22.32/3.55 % (493486)Peak memory usage: 14 MB
% 22.32/3.55 % (493486)Instructions burned: 447 (million)
% 22.32/3.55 % (493502)dis+1010_7_si=on:uwa=off:nwc=1.2:random_seed=2111461669:st=2.5:i=872:sd=4:fsr=off:rtra=on:ss=axioms:c=on:ntd=on_2969 on theBenchmark for (2969ds/872Mi)
% 22.32/3.55 % (493502)Refutation not found, incomplete strategy
% 22.32/3.55 % (493502)------------------------------
% 22.32/3.55 % (493502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.32/3.55 % (493502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.32/3.55 % (493502)CaDiCaL version: 2.1.3
% 22.32/3.55 % (493502)Termination reason: Refutation not found, incomplete strategy
% 22.32/3.55 % (493502)Time elapsed: 0.0000 s
% 22.32/3.55 % (493502)Peak memory usage: 11 MB
% 22.32/3.55 % (493502)Instructions burned: 1 (million)
% 22.32/3.55 % (493502)------------------------------
% 22.32/3.55 % (493502)------------------------------
% 22.32/3.55 % (493505)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 22.32/3.55 % (493505)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=1133851846:i=244:add=off:piset=or:nm=10:fsr=off:rtra=on:c=on_2969 on theBenchmark for (2969ds/244Mi)
% 22.32/3.55 % (493503)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 22.32/3.55 % (493505)Refutation not found, incomplete strategy
% 22.32/3.55 % (493505)------------------------------
% 22.32/3.55 % (493505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.32/3.55 % (493505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.32/3.55 % (493505)CaDiCaL version: 2.1.3
% 22.32/3.55 % (493505)Termination reason: Refutation not found, incomplete strategy
% 22.32/3.55 % (493505)Time elapsed: 0.001 s
% 22.32/3.55 % (493505)Peak memory usage: 11 MB
% 22.32/3.55 % (493505)Instructions burned: 3 (million)
% 22.32/3.55 % (493505)------------------------------
% 22.32/3.55 % (493505)------------------------------
% 22.32/3.55 % (493503)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=1924302544:i=999:add=on:rtra=on_2969 on theBenchmark for (2969ds/999Mi)
% 22.32/3.55 % (493507)ott+1003_1_anc=all:sil=128000:si=on:sos=on:random_seed=2928261097:cts=off:i=113:fsr=off:rtra=on:fe=abstraction_2969 on theBenchmark for (2969ds/113Mi)
% 23.16/3.68 % (493507)Refutation not found, incomplete strategy
% 23.16/3.68 % (493507)------------------------------
% 23.16/3.68 % (493507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/3.68 % (493507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/3.68 % (493507)CaDiCaL version: 2.1.3
% 23.16/3.68 % (493507)Termination reason: Refutation not found, incomplete strategy
% 23.16/3.68 % (493507)Time elapsed: 0.002 s
% 23.16/3.68 % (493507)Peak memory usage: 12 MB
% 23.16/3.68 % (493507)Instructions burned: 2 (million)
% 23.16/3.68 % (493507)------------------------------
% 23.16/3.68 % (493507)------------------------------
% 23.16/3.68 % (493510)lrs+10_1_sil=128000:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=606622833:i=7795:sd=2:nm=16:rtra=on:ss=axioms_2969 on theBenchmark for (2969ds/7795Mi)
% 23.16/3.68 % (493510)Refutation not found, incomplete strategy
% 23.16/3.68 % (493510)------------------------------
% 23.16/3.68 % (493510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/3.68 % (493510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/3.68 % (493510)CaDiCaL version: 2.1.3
% 23.16/3.68 % (493510)Termination reason: Refutation not found, incomplete strategy
% 23.16/3.68 % (493510)Time elapsed: 0.001 s
% 23.16/3.68 % (493510)Peak memory usage: 11 MB
% 23.16/3.68 % (493510)------------------------------
% 23.16/3.68 % (493510)------------------------------
% 23.16/3.68 % (493484)Instruction limit reached!
% 23.16/3.68 % (493484)------------------------------
% 23.16/3.68 % (493484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/3.68 % (493484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/3.68 % (493484)CaDiCaL version: 2.1.3
% 23.16/3.68 % (493484)Termination reason: Instruction limit
% 23.16/3.68 % (493484)Termination phase: Saturation
% 23.16/3.68 % (493484)Time elapsed: 0.369 s
% 23.16/3.68 % (493484)Peak memory usage: 13 MB
% 23.16/3.68 % (493484)Instructions burned: 843 (million)
% 23.16/3.68 % (493512)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3016762180:st=2:i=5026:sd=1:rtra=on:ss=axioms_2968 on theBenchmark for (2968ds/5026Mi)
% 23.16/3.68 % (493512)Refutation not found, incomplete strategy
% 23.16/3.68 % (493512)------------------------------
% 23.16/3.68 % (493512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/3.68 % (493512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/3.68 % (493512)CaDiCaL version: 2.1.3
% 23.16/3.68 % (493512)Termination reason: Refutation not found, incomplete strategy
% 23.16/3.68 % (493512)Time elapsed: 0.001 s
% 23.16/3.68 % (493512)Peak memory usage: 11 MB
% 23.16/3.68 % (493512)Instructions burned: 1 (million)
% 23.16/3.68 % (493513)WARNING Broken Constraint: if ho_split_queue_ratios(1,4) has been set then ho_split_queue(off) is equal to on
% 23.16/3.68 % (493512)------------------------------
% 23.16/3.68 % (493512)------------------------------
% 23.16/3.68 % (493513)dis+1004_8_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_frequency:sos=on:uwa=off:random_seed=1488880410:hsqr=1,4:i=763:bd=preordered:nm=0:rtra=on:bet=on:ss=axioms_2968 on theBenchmark for (2968ds/763Mi)
% 23.16/3.68 % (493513)Refutation not found, incomplete strategy
% 23.16/3.68 % (493513)------------------------------
% 23.16/3.68 % (493513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/3.68 % (493513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/3.68 % (493513)CaDiCaL version: 2.1.3
% 23.16/3.68 % (493513)Termination reason: Refutation not found, incomplete strategy
% 23.16/3.68 % (493513)Time elapsed: 0.001 s
% 23.16/3.68 % (493513)Peak memory usage: 11 MB
% 23.16/3.68 % (493513)Instructions burned: 1 (million)
% 23.16/3.68 % (493513)------------------------------
% 23.16/3.68 % (493513)------------------------------
% 23.16/3.68 % (493515)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=54640087:hsq=on:st=2:i=1144:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2968 on theBenchmark for (2968ds/1144Mi)
% 23.16/3.68 % (493515)Refutation not found, incomplete strategy
% 23.16/3.68 % (493515)------------------------------
% 23.16/3.68 % (493515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.16/3.68 % (493515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.16/3.68 % (493515)CaDiCaL version: 2.1.3
% 23.16/3.68 % (493515)Termination reason: Refutation not found, incomplete strategy
% 23.58/3.77 % (493515)Time elapsed: 0.001 s
% 23.58/3.77 % (493515)Peak memory usage: 11 MB
% 23.58/3.77 % (493515)Instructions burned: 1 (million)
% 23.58/3.77 % (493517)WARNING Broken Constraint: if ho_split_queue_ratios(23,10) has been set then ho_split_queue(off) is equal to on
% 23.58/3.77 % (493515)------------------------------
% 23.58/3.77 % (493515)------------------------------
% 23.58/3.77 % (493517)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=278564156:hsqr=23,10:uwa_fpi=on:i=52:kws=frequency:hud=15:fsr=off:rtra=on:amm=off:ntd=on:rawr=on_2968 on theBenchmark for (2968ds/52Mi)
% 23.58/3.77 % (493519)dis+1010_1_sil=128000:si=on:etr=on:uwa=off:random_seed=1698996767:i=1724:fsr=off:rtra=on:fe=abstraction_2968 on theBenchmark for (2968ds/1724Mi)
% 23.58/3.77 % (493517)Instruction limit reached!
% 23.58/3.77 % (493517)------------------------------
% 23.58/3.77 % (493517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.58/3.77 % (493517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/3.77 % (493517)CaDiCaL version: 2.1.3
% 23.58/3.77 % (493517)Termination reason: Instruction limit
% 23.58/3.77 % (493517)Termination phase: Saturation
% 23.58/3.77 % (493517)Time elapsed: 0.021 s
% 23.58/3.77 % (493517)Peak memory usage: 12 MB
% 23.58/3.77 % (493517)Instructions burned: 54 (million)
% 23.58/3.77 % (493523)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=1707265398:i=439:add=on:slsql=off:rtra=on:ntd=on_2968 on theBenchmark for (2968ds/439Mi)
% 23.58/3.77 % (493409)Instruction limit reached!
% 23.58/3.77 % (493409)------------------------------
% 23.58/3.77 % (493409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.58/3.77 % (493409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/3.77 % (493409)CaDiCaL version: 2.1.3
% 23.58/3.77 % (493409)Termination reason: Instruction limit
% 23.58/3.77 % (493409)Termination phase: Saturation
% 23.58/3.77 % (493409)Time elapsed: 1.209 s
% 23.58/3.77 % (493409)Peak memory usage: 17 MB
% 23.58/3.77 % (493409)Instructions burned: 2240 (million)
% 23.58/3.77 % (493500)Instruction limit reached!
% 23.58/3.77 % (493500)------------------------------
% 23.58/3.77 % (493500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.58/3.77 % (493500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/3.77 % (493500)CaDiCaL version: 2.1.3
% 23.58/3.77 % (493500)Termination reason: Instruction limit
% 23.58/3.77 % (493500)Termination phase: Saturation
% 23.58/3.77 % (493500)Time elapsed: 0.264 s
% 23.58/3.77 % (493500)Peak memory usage: 13 MB
% 23.58/3.77 % (493500)Instructions burned: 592 (million)
% 23.58/3.77 % (493525)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=904921397:i=6395:sd=1:rtra=on:ss=axioms_2967 on theBenchmark for (2967ds/6395Mi)
% 23.58/3.77 % (493525)Refutation not found, incomplete strategy
% 23.58/3.77 % (493525)------------------------------
% 23.58/3.77 % (493525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.58/3.77 % (493525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/3.77 % (493525)CaDiCaL version: 2.1.3
% 23.58/3.77 % (493525)Termination reason: Refutation not found, incomplete strategy
% 23.58/3.77 % (493525)Time elapsed: 0.001 s
% 23.58/3.77 % (493525)Peak memory usage: 11 MB
% 23.58/3.77 % (493525)Instructions burned: 1 (million)
% 23.58/3.77 % (493525)------------------------------
% 23.58/3.77 % (493525)------------------------------
% 23.58/3.77 % (493526)WARNING Broken Constraint: if ho_split_queue_lambda_weight(5) has been set then ho_split_queue(off) is equal to on
% 23.58/3.77 % (493526)ott+2_16:1_sil=128000:si=on:hsqlw=5:sos=on:urr=on:bce=on:uwa=off:random_seed=4263985758:i=6762:add=off:bd=all:rtra=on:ss=axioms:ntd=on_2967 on theBenchmark for (2967ds/6762Mi)
% 23.58/3.77 % (493528)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(discount) is equal to lrs
% 23.58/3.77 % (493526)Refutation not found, incomplete strategy
% 23.58/3.77 % (493526)------------------------------
% 23.58/3.77 % (493526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.58/3.77 % (493526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/3.77 % (493526)CaDiCaL version: 2.1.3
% 23.58/3.77 % (493526)Termination reason: Refutation not found, incomplete strategy
% 23.58/3.77 % (493526)Time elapsed: 0.001 s
% 23.58/3.77 % (493526)Peak memory usage: 11 MB
% 23.58/3.77 % (493526)------------------------------
% 23.58/3.77 % (493526)------------------------------
% 23.58/3.77 % (493528)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=4109666988:s2a=on:i=376:add=on:rtra=on:fe=axiom:fdi=1024_2967 on theBenchmark for (2967ds/376Mi)
% 23.58/3.77 % (493530)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=1270502064:i=965:bd=all:ins=4:rtra=on_2967 on theBenchmark for (2967ds/965Mi)
% 23.58/3.77 % (493503)Instruction limit reached!
% 23.58/3.77 % (493503)------------------------------
% 23.58/3.77 % (493503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.58/3.77 % (493503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/3.77 % (493503)CaDiCaL version: 2.1.3
% 23.58/3.77 % (493503)Termination reason: Instruction limit
% 23.58/3.77 % (493503)Termination phase: Saturation
% 23.58/3.77 % (493503)Time elapsed: 0.228 s
% 23.58/3.77 % (493503)Peak memory usage: 14 MB
% 23.58/3.77 % (493503)Instructions burned: 1004 (million)
% 23.58/3.77 % (493533)lrs+10_1_sil=128000:si=on:urr=on:random_seed=3087560118:i=5013:sd=1:rtra=on:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/5013Mi)
% 23.58/3.77 % (493533)Refutation not found, incomplete strategy
% 23.58/3.77 % (493533)------------------------------
% 23.58/3.77 % (493533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.58/3.77 % (493533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/3.77 % (493533)CaDiCaL version: 2.1.3
% 23.58/3.77 % (493533)Termination reason: Refutation not found, incomplete strategy
% 23.58/3.77 % (493533)Time elapsed: 0.0000 s
% 23.58/3.77 % (493533)Peak memory usage: 11 MB
% 23.58/3.77 % (493533)Instructions burned: 1 (million)
% 23.58/3.77 % (493533)------------------------------
% 23.58/3.77 % (493533)------------------------------
% 23.58/3.77 % (493535)dis+2_1_tgt=full:si=on:uwa=one_side_interpreted:random_seed=1159360624:i=1583:kws=inv_frequency:bd=preordered:nm=0:rtra=on_2966 on theBenchmark for (2966ds/1583Mi)
% 23.58/3.77 % (493523)Instruction limit reached!
% 23.58/3.77 % (493523)------------------------------
% 23.58/3.77 % (493523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.58/3.77 % (493523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/3.77 % (493523)CaDiCaL version: 2.1.3
% 23.58/3.77 % (493523)Termination reason: Instruction limit
% 23.58/3.77 % (493523)Termination phase: Saturation
% 23.58/3.77 % (493523)Time elapsed: 0.146 s
% 23.58/3.77 % (493523)Peak memory usage: 12 MB
% 23.58/3.77 % (493523)Instructions burned: 440 (million)
% 23.58/3.77 % (493537)WARNING Broken Constraint: if sine_level_split_queue_ratios(1,32) has been set then sine_level_split_queue(off) is equal to on
% 23.58/3.77 % (493537)WARNING Broken Constraint: if ho_split_queue_cutoffs(2) has been set then ho_split_queue(off) is equal to on
% 23.58/3.77 % (493537)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
% 23.58/3.77 % (493537)WARNING Broken Constraint: if ho_split_queue_ratios(4,1) has been set then ho_split_queue(off) is equal to on
% 23.58/3.77 % (493537)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=1896096167: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_2966 on theBenchmark for (2966ds/1774Mi)
% 23.58/3.77 % (493537)Refutation not found, incomplete strategy
% 23.58/3.77 % (493537)------------------------------
% 23.58/3.77 % (493537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.58/3.77 % (493537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/3.77 % (493537)CaDiCaL version: 2.1.3
% 23.58/3.77 % (493537)Termination reason: Refutation not found, incomplete strategy
% 23.58/3.77 % (493537)Time elapsed: 0.001 s
% 23.58/3.77 % (493537)Peak memory usage: 11 MB
% 23.58/3.77 % (493537)Instructions burned: 1 (million)
% 23.58/3.77 % (493537)------------------------------
% 23.58/3.77 % (493537)------------------------------
% 23.58/3.77 % (493539)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1885827030:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2966 on theBenchmark for (2966ds/515Mi)
% 23.58/3.77 % (493539)Refutation not found, incomplete strategy
% 23.58/3.77 % (493539)------------------------------
% 23.58/3.77 % (493539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.58/3.77 % (493539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/3.77 % (493539)CaDiCaL version: 2.1.3
% 23.58/3.77 % (493539)Termination reason: Refutation not found, incomplete strategy
% 23.58/3.77 % (493539)Time elapsed: 0.004 s
% 23.58/3.77 % (493539)Peak memory usage: 12 MB
% 23.58/3.77 % (493539)Instructions burned: 1 (million)
% 23.58/3.77 % (493539)------------------------------
% 23.58/3.77 % (493539)------------------------------
% 23.58/3.77 % (493541)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
% 23.58/3.77 % (493421) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-493101-493421"...
% 23.58/3.77 % (493541)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=2162954526:avsq=on:i=1297:add=on:avsqr=1,8:rtra=on:fsd=on_2965 on theBenchmark for (2965ds/1297Mi)
% 23.58/3.77 % (493528)Instruction limit reached!
% 23.58/3.77 % (493528)------------------------------
% 23.58/3.77 % (493528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.58/3.77 % (493528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.58/3.77 % (493528)CaDiCaL version: 2.1.3
% 23.58/3.77 % (493528)Termination reason: Instruction limit
% 23.58/3.77 % (493528)Termination phase: Saturation
% 23.58/3.77 % (493528)Time elapsed: 0.199 s
% 23.58/3.77 % (493528)Peak memory usage: 14 MB
% 23.58/3.77 % (493528)Instructions burned: 377 (million)
% 23.58/3.77 % (493421)...printing done.
% 23.58/3.77 % (493421)Refutation found. Thanks to Tanya!
% 23.58/3.77 % SZS status Unsatisfiable for theBenchmark
% 23.58/3.77 % SZS output start Proof for theBenchmark
% See solution above
% 24.80/3.81 % (493421)------------------------------
% 24.80/3.81 % (493421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.80/3.81 % (493421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.80/3.81 % (493421)CaDiCaL version: 2.1.3
% 24.80/3.81 % (493421)Termination reason: Refutation
% 24.80/3.81 % (493421)Time elapsed: 1.365 s
% 24.80/3.81 % (493421)Peak memory usage: 18 MB
% 24.80/3.81 % (493421)Instructions burned: 2603 (million)
% 24.80/3.81 % (493101)Success in time 3.515 s
% 24.80/3.81 % Vampire exiting
%------------------------------------------------------------------------------